TSTP Solution File: SWW580_2 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW580_2 : TPTP v8.2.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n015.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 18:34:21 EDT 2024
% Result : Theorem 32.39s 5.02s
% Output : Refutation 32.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW580_2 : TPTP v8.2.0. Released v6.1.0.
% 0.03/0.12 % Command : run_vampire %s %d THM
% 0.12/0.32 % Computer : n015.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 06:49:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a TF0_THM_EQU_ARI problem
% 0.12/0.35 Running first-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.41 % (13677)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (13679)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.41 % (13677)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (13680)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.41 % (13677)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (13681)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.41 % (13677)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (13682)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.41 % (13677)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (13683)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.41 % (13677)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (13684)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.20/0.41 % (13677)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (13678)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.20/0.41 % (13681)Instruction limit reached!
% 0.20/0.41 % (13681)------------------------------
% 0.20/0.41 % (13681)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.41 % (13681)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.41 % (13681)Termination reason: Time limit
% 0.20/0.41 % (13681)Termination phase: Property scanning
% 0.20/0.41
% 0.20/0.41 % (13681)Memory used [KB]: 827
% 0.20/0.41 % (13681)Time elapsed: 0.004 s
% 0.20/0.41 % (13681)Instructions burned: 3 (million)
% 0.20/0.42 % (13680)Instruction limit reached!
% 0.20/0.42 % (13680)------------------------------
% 0.20/0.42 % (13680)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.42 % (13680)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.42 % (13680)Termination reason: Time limit
% 0.20/0.42 % (13680)Termination phase: Saturation
% 0.20/0.42
% 0.20/0.42 % (13680)Memory used [KB]: 874
% 0.20/0.42 % (13680)Time elapsed: 0.008 s
% 0.20/0.42 % (13680)Instructions burned: 8 (million)
% 0.20/0.42 % (13683)Instruction limit reached!
% 0.20/0.42 % (13683)------------------------------
% 0.20/0.42 % (13683)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.42 % (13683)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.42 % (13683)Termination reason: Time limit
% 0.20/0.42 % (13683)Termination phase: Saturation
% 0.20/0.42
% 0.20/0.42 % (13683)Memory used [KB]: 917
% 0.20/0.42 % (13683)Time elapsed: 0.013 s
% 0.20/0.42 % (13683)Instructions burned: 15 (million)
% 0.20/0.43 % (13684)Instruction limit reached!
% 0.20/0.43 % (13684)------------------------------
% 0.20/0.43 % (13684)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.43 % (13684)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.43 % (13684)Termination reason: Time limit
% 0.20/0.43 % (13684)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (13684)Memory used [KB]: 1247
% 0.20/0.43 % (13684)Time elapsed: 0.022 s
% 0.20/0.43 % (13684)Instructions burned: 33 (million)
% 0.20/0.43 % (13679)Instruction limit reached!
% 0.20/0.43 % (13679)------------------------------
% 0.20/0.43 % (13679)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.43 % (13679)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.43 % (13679)Termination reason: Time limit
% 0.20/0.43 % (13679)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (13679)Memory used [KB]: 1199
% 0.20/0.43 % (13679)Time elapsed: 0.024 s
% 0.20/0.43 % (13679)Instructions burned: 34 (million)
% 0.20/0.43 % (13682)Instruction limit reached!
% 0.20/0.43 % (13682)------------------------------
% 0.20/0.43 % (13682)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.44 % (13682)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.44 % (13682)Termination reason: Time limit
% 0.20/0.44 % (13682)Termination phase: Saturation
% 0.20/0.44
% 0.20/0.44 % (13682)Memory used [KB]: 1312
% 0.20/0.44 % (13682)Time elapsed: 0.027 s
% 0.20/0.44 % (13682)Instructions burned: 38 (million)
% 0.20/0.47 % (13677)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.47 % (13685)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.20/0.47 % (13677)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.47 % (13686)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.20/0.47 % (13677)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.47 % (13689)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.20/0.47 % (13677)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.47 % (13687)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.47 % (13677)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.47 % (13691)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.47 % (13687)Instruction limit reached!
% 0.20/0.47 % (13687)------------------------------
% 0.20/0.47 % (13687)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.48 % (13687)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.48 % (13687)Termination reason: Time limit
% 0.20/0.48 % (13687)Termination phase: Preprocessing 3
% 0.20/0.48
% 0.20/0.48 % (13687)Memory used [KB]: 821
% 0.20/0.48 % (13687)Time elapsed: 0.002 s
% 0.20/0.48 % (13687)Instructions burned: 2 (million)
% 0.20/0.48 % (13691)Instruction limit reached!
% 0.20/0.48 % (13691)------------------------------
% 0.20/0.48 % (13691)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.48 % (13691)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.48 % (13691)Termination reason: Time limit
% 0.20/0.48 % (13691)Termination phase: Property scanning
% 0.20/0.48
% 0.20/0.48 % (13691)Memory used [KB]: 832
% 0.20/0.48 % (13691)Time elapsed: 0.002 s
% 0.20/0.48 % (13691)Instructions burned: 3 (million)
% 0.20/0.48 % (13686)Refutation not found, non-redundant clauses discarded% (13686)------------------------------
% 0.20/0.48 % (13686)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.48 % (13686)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.48 % (13686)Termination reason: Refutation not found, non-redundant clauses discarded
% 0.20/0.48
% 0.20/0.48 % (13686)Memory used [KB]: 1129
% 0.20/0.48 % (13686)Time elapsed: 0.011 s
% 0.20/0.48 % (13686)Instructions burned: 26 (million)
% 0.20/0.48 % (13686)------------------------------
% 0.20/0.48 % (13686)------------------------------
% 0.20/0.48 % (13677)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.48 % (13690)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.48 % (13690)Instruction limit reached!
% 0.20/0.48 % (13690)------------------------------
% 0.20/0.48 % (13690)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.48 % (13690)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.48 % (13690)Termination reason: Time limit
% 0.20/0.48 % (13690)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (13690)Memory used [KB]: 875
% 0.20/0.48 % (13690)Time elapsed: 0.003 s
% 0.20/0.48 % (13690)Instructions burned: 4 (million)
% 0.20/0.48 % (13685)Instruction limit reached!
% 0.20/0.48 % (13685)------------------------------
% 0.20/0.48 % (13685)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.48 % (13685)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.48 % (13685)Termination reason: Time limit
% 0.20/0.48 % (13685)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (13685)Memory used [KB]: 1307
% 0.20/0.48 % (13685)Time elapsed: 0.016 s
% 0.20/0.48 % (13685)Instructions burned: 37 (million)
% 0.20/0.49 % (13689)Instruction limit reached!
% 0.20/0.49 % (13689)------------------------------
% 0.20/0.49 % (13689)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.49 % (13689)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.49 % (13689)Termination reason: Time limit
% 0.20/0.49 % (13689)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (13689)Memory used [KB]: 1198
% 0.20/0.49 % (13689)Time elapsed: 0.016 s
% 0.20/0.49 % (13689)Instructions burned: 37 (million)
% 0.20/0.51 % (13677)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.51 % (13692)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 0.20/0.51 % (13677)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.51 % (13693)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 0.20/0.51 % (13677)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.51 % (13694)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.20/0.52 % (13694)Instruction limit reached!
% 0.20/0.52 % (13694)------------------------------
% 0.20/0.52 % (13694)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.52 % (13694)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.52 % (13694)Termination reason: Time limit
% 0.20/0.52 % (13694)Termination phase: Preprocessing 1
% 0.20/0.52
% 0.20/0.52 % (13694)Memory used [KB]: 749
% 0.20/0.52 % (13694)Time elapsed: 0.002 s
% 0.20/0.52 % (13694)Instructions burned: 2 (million)
% 0.20/0.52 % (13677)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.52 % (13695)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.20/0.52 % (13677)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.52 % (13696)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/49Mi)
% 0.20/0.52 % (13695)Instruction limit reached!
% 0.20/0.52 % (13695)------------------------------
% 0.20/0.52 % (13695)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.52 % (13695)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.52 % (13695)Termination reason: Time limit
% 0.20/0.52 % (13695)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (13695)Memory used [KB]: 827
% 0.20/0.52 % (13695)Time elapsed: 0.002 s
% 0.20/0.52 % (13695)Instructions burned: 2 (million)
% 0.20/0.52 % (13692)Instruction limit reached!
% 0.20/0.52 % (13692)------------------------------
% 0.20/0.52 % (13692)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.52 % (13692)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.52 % (13692)Termination reason: Time limit
% 0.20/0.52 % (13692)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (13692)Memory used [KB]: 971
% 0.20/0.52 % (13692)Time elapsed: 0.010 s
% 0.20/0.52 % (13692)Instructions burned: 23 (million)
% 0.20/0.52 % (13677)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.52 % (13697)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 0.20/0.53 % (13693)Instruction limit reached!
% 0.20/0.53 % (13693)------------------------------
% 0.20/0.53 % (13693)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.53 % (13693)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.53 % (13693)Termination reason: Time limit
% 0.20/0.53 % (13693)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (13693)Memory used [KB]: 1357
% 0.20/0.53 % (13693)Time elapsed: 0.019 s
% 0.20/0.53 % (13693)Instructions burned: 51 (million)
% 0.20/0.53 % (13697)Instruction limit reached!
% 0.20/0.53 % (13697)------------------------------
% 0.20/0.53 % (13697)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.53 % (13697)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.53 % (13697)Termination reason: Time limit
% 0.20/0.53 % (13697)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (13697)Memory used [KB]: 945
% 0.20/0.53 % (13697)Time elapsed: 0.008 s
% 0.20/0.53 % (13697)Instructions burned: 18 (million)
% 0.20/0.54 % (13696)Instruction limit reached!
% 0.20/0.54 % (13696)------------------------------
% 0.20/0.54 % (13696)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.54 % (13696)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.54 % (13696)Termination reason: Time limit
% 0.20/0.54 % (13696)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (13696)Memory used [KB]: 1327
% 0.20/0.54 % (13696)Time elapsed: 0.020 s
% 0.20/0.54 % (13696)Instructions burned: 49 (million)
% 1.43/0.55 % (13677)Running in auto input_syntax mode. Trying TPTP
% 1.43/0.55 % (13698)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.43/0.55 % (13698)Instruction limit reached!
% 1.43/0.55 % (13698)------------------------------
% 1.43/0.55 % (13698)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.43/0.55 % (13698)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.43/0.55 % (13698)Termination reason: Time limit
% 1.43/0.55 % (13698)Termination phase: SInE selection
% 1.43/0.55
% 1.43/0.55 % (13698)Memory used [KB]: 744
% 1.43/0.55 % (13698)Time elapsed: 0.002 s
% 1.43/0.55 % (13698)Instructions burned: 2 (million)
% 1.43/0.55 % (13677)Running in auto input_syntax mode. Trying TPTP
% 1.43/0.55 % (13699)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 1.43/0.55 % (13677)Running in auto input_syntax mode. Trying TPTP
% 1.43/0.55 % (13700)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 1.54/0.56 % (13699)Instruction limit reached!
% 1.54/0.56 % (13699)------------------------------
% 1.54/0.56 % (13699)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.54/0.56 % (13699)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.54/0.56 % (13699)Termination reason: Time limit
% 1.54/0.56 % (13699)Termination phase: Saturation
% 1.54/0.56
% 1.54/0.56 % (13699)Memory used [KB]: 926
% 1.54/0.56 % (13699)Time elapsed: 0.008 s
% 1.54/0.56 % (13699)Instructions burned: 17 (million)
% 1.54/0.56 % (13700)Instruction limit reached!
% 1.54/0.56 % (13700)------------------------------
% 1.54/0.56 % (13700)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.54/0.56 % (13700)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.54/0.56 % (13700)Termination reason: Time limit
% 1.54/0.56 % (13700)Termination phase: Saturation
% 1.54/0.56
% 1.54/0.56 % (13700)Memory used [KB]: 975
% 1.54/0.56 % (13700)Time elapsed: 0.010 s
% 1.54/0.56 % (13700)Instructions burned: 23 (million)
% 1.54/0.56 % (13677)Running in auto input_syntax mode. Trying TPTP
% 1.54/0.56 % (13701)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 1.54/0.56 % (13677)Running in auto input_syntax mode. Trying TPTP
% 1.54/0.56 % (13702)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.54/0.57 % (13677)Running in auto input_syntax mode. Trying TPTP
% 1.54/0.57 % (13703)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/47Mi)
% 1.54/0.58 % (13701)Instruction limit reached!
% 1.54/0.58 % (13701)------------------------------
% 1.54/0.58 % (13701)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.54/0.58 % (13701)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.54/0.58 % (13701)Termination reason: Time limit
% 1.54/0.58 % (13701)Termination phase: Saturation
% 1.54/0.58
% 1.54/0.58 % (13701)Memory used [KB]: 1154
% 1.54/0.58 % (13701)Time elapsed: 0.038 s
% 1.54/0.58 % (13701)Instructions burned: 46 (million)
% 1.54/0.58 % (13702)Instruction limit reached!
% 1.54/0.58 % (13702)------------------------------
% 1.54/0.58 % (13702)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.54/0.58 % (13702)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.54/0.58 % (13702)Termination reason: Time limit
% 1.54/0.58 % (13702)Termination phase: Saturation
% 1.54/0.58
% 1.54/0.58 % (13702)Memory used [KB]: 1191
% 1.54/0.58 % (13702)Time elapsed: 0.041 s
% 1.54/0.58 % (13702)Instructions burned: 50 (million)
% 1.54/0.58 % (13677)Running in auto input_syntax mode. Trying TPTP
% 1.54/0.58 % (13704)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 1.54/0.59 % (13677)Running in auto input_syntax mode. Trying TPTP
% 1.54/0.59 % (13705)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/43Mi)
% 1.54/0.59 % (13703)Instruction limit reached!
% 1.54/0.59 % (13703)------------------------------
% 1.54/0.59 % (13703)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.54/0.59 % (13703)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.54/0.59 % (13703)Termination reason: Time limit
% 1.54/0.59 % (13703)Termination phase: Saturation
% 1.54/0.59
% 1.54/0.59 % (13703)Memory used [KB]: 1317
% 1.54/0.59 % (13703)Time elapsed: 0.041 s
% 1.54/0.59 % (13703)Instructions burned: 47 (million)
% 1.54/0.59 % (13677)Running in auto input_syntax mode. Trying TPTP
% 1.54/0.59 % (13706)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 1.54/0.60 % (13704)Instruction limit reached!
% 1.54/0.60 % (13704)------------------------------
% 1.54/0.60 % (13704)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.54/0.60 % (13704)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.54/0.60 % (13704)Termination reason: Time limit
% 1.54/0.60 % (13704)Termination phase: Saturation
% 1.54/0.60
% 1.54/0.60 % (13704)Memory used [KB]: 1327
% 1.54/0.60 % (13704)Time elapsed: 0.039 s
% 1.54/0.60 % (13704)Instructions burned: 42 (million)
% 1.54/0.60 % (13706)Instruction limit reached!
% 1.54/0.60 % (13706)------------------------------
% 1.54/0.60 % (13706)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.54/0.60 % (13706)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.54/0.60 % (13706)Termination reason: Time limit
% 1.54/0.60 % (13706)Termination phase: Saturation
% 1.54/0.60
% 1.54/0.60 % (13706)Memory used [KB]: 971
% 1.54/0.60 % (13706)Time elapsed: 0.031 s
% 1.54/0.60 % (13706)Instructions burned: 23 (million)
% 1.54/0.60 % (13705)Instruction limit reached!
% 1.54/0.60 % (13705)------------------------------
% 1.54/0.60 % (13705)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.54/0.60 % (13705)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.54/0.60 % (13705)Termination reason: Time limit
% 1.54/0.60 % (13705)Termination phase: Saturation
% 1.54/0.60
% 1.54/0.60 % (13705)Memory used [KB]: 1204
% 1.54/0.60 % (13705)Time elapsed: 0.037 s
% 1.54/0.60 % (13705)Instructions burned: 43 (million)
% 1.54/0.61 % (13677)Running in auto input_syntax mode. Trying TPTP
% 1.54/0.61 % (13707)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/21Mi)
% 1.54/0.61 % (13677)Running in auto input_syntax mode. Trying TPTP
% 1.54/0.61 % (13708)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/41Mi)
% 1.54/0.62 % (13707)Instruction limit reached!
% 1.54/0.62 % (13707)------------------------------
% 1.54/0.62 % (13707)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.54/0.62 % (13707)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.54/0.62 % (13707)Termination reason: Time limit
% 1.54/0.62 % (13707)Termination phase: Saturation
% 1.54/0.62
% 1.54/0.62 % (13707)Memory used [KB]: 982
% 1.54/0.62 % (13707)Time elapsed: 0.034 s
% 1.54/0.62 % (13707)Instructions burned: 23 (million)
% 1.93/0.63 % (13677)Running in auto input_syntax mode. Trying TPTP
% 1.93/0.63 % (13709)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 1.93/0.63 % (13708)Instruction limit reached!
% 1.93/0.63 % (13708)------------------------------
% 1.93/0.63 % (13708)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.93/0.63 % (13708)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.93/0.63 % (13708)Termination reason: Time limit
% 1.93/0.63 % (13708)Termination phase: Saturation
% 1.93/0.63
% 1.93/0.63 % (13708)Memory used [KB]: 1390
% 1.93/0.63 % (13708)Time elapsed: 0.038 s
% 1.93/0.63 % (13708)Instructions burned: 42 (million)
% 1.93/0.63 % (13677)Running in auto input_syntax mode. Trying TPTP
% 1.93/0.63 % (13710)lrs+1_1:1_aac=none:acc=on:add=large:bd=off:bs=unit_only:bsr=on:cond=on:nm=0:sac=on:sd=3:sos=on:ss=axioms:st=2.0:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 1.93/0.63 % (13709)Instruction limit reached!
% 1.93/0.63 % (13709)------------------------------
% 1.93/0.63 % (13709)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.93/0.63 % (13709)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.93/0.63 % (13709)Termination reason: Time limit
% 1.93/0.63 % (13709)Termination phase: Saturation
% 1.93/0.63
% 1.93/0.63 % (13709)Memory used [KB]: 947
% 1.93/0.63 % (13709)Time elapsed: 0.033 s
% 1.93/0.63 % (13709)Instructions burned: 18 (million)
% 1.93/0.64 % (13677)Running in auto input_syntax mode. Trying TPTP
% 1.93/0.64 % (13711)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/25Mi)
% 1.93/0.64 % (13677)Running in auto input_syntax mode. Trying TPTP
% 1.93/0.64 % (13712)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=148:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/148Mi)
% 1.93/0.65 % (13711)Instruction limit reached!
% 1.93/0.65 % (13711)------------------------------
% 1.93/0.65 % (13711)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.93/0.65 % (13711)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.93/0.65 % (13711)Termination reason: Time limit
% 1.93/0.65 % (13711)Termination phase: Saturation
% 1.93/0.65
% 1.93/0.65 % (13711)Memory used [KB]: 988
% 1.93/0.65 % (13711)Time elapsed: 0.011 s
% 1.93/0.65 % (13711)Instructions burned: 28 (million)
% 1.93/0.65 % (13710)Instruction limit reached!
% 1.93/0.65 % (13710)------------------------------
% 1.93/0.65 % (13710)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.93/0.65 % (13710)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.93/0.65 % (13710)Termination reason: Time limit
% 1.93/0.65 % (13710)Termination phase: Saturation
% 1.93/0.65
% 1.93/0.65 % (13710)Memory used [KB]: 1363
% 1.93/0.65 % (13710)Time elapsed: 0.046 s
% 1.93/0.65 % (13710)Instructions burned: 49 (million)
% 1.93/0.65 % (13677)Running in auto input_syntax mode. Trying TPTP
% 1.93/0.65 % (13713)lrs+10_1:1_acc=model:br=off:ins=1:newcnf=on:nwc=5.0:s2a=on:sac=on:sp=frequency:to=lpo:urr=on:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/100Mi)
% 2.16/0.66 % (13677)Running in auto input_syntax mode. Trying TPTP
% 2.16/0.66 % (13714)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=76:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/76Mi)
% 2.16/0.67 % (13677)Running in auto input_syntax mode. Trying TPTP
% 2.16/0.67 % (13715)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=58:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/58Mi)
% 2.16/0.68 % (13677)Running in auto input_syntax mode. Trying TPTP
% 2.16/0.68 % (13716)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/96Mi)
% 2.16/0.69 % (13677)Running in auto input_syntax mode. Trying TPTP
% 2.16/0.69 % (13717)lrs+10_1:3_add=large:afr=on:anc=all_dependent:avsq=on:avsqr=21,226:awrs=decay:awrsf=47:br=off:bsd=on:canc=cautious:cond=fast:fd=preordered:fsd=on:fsr=off:gs=on:gve=force:ins=1:lma=on:s2agt=4:s2at=1.9:sas=z3:slsq=on:slsqc=1:slsqr=13,121:sp=reverse_arity:tha=some:to=lpo:uace=off:uhcvi=on:updr=off:urr=ec_only:i=108:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/108Mi)
% 2.16/0.69 % (13715)Instruction limit reached!
% 2.16/0.69 % (13715)------------------------------
% 2.16/0.69 % (13715)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.16/0.69 % (13715)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.16/0.69 % (13715)Termination reason: Time limit
% 2.16/0.69 % (13715)Termination phase: Saturation
% 2.16/0.69
% 2.16/0.69 % (13715)Memory used [KB]: 1410
% 2.16/0.69 % (13715)Time elapsed: 0.022 s
% 2.16/0.69 % (13715)Instructions burned: 59 (million)
% 2.16/0.69 % (13714)Instruction limit reached!
% 2.16/0.69 % (13714)------------------------------
% 2.16/0.69 % (13714)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.16/0.69 % (13714)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.16/0.69 % (13714)Termination reason: Time limit
% 2.16/0.69 % (13714)Termination phase: Saturation
% 2.16/0.69
% 2.16/0.69 % (13714)Memory used [KB]: 1905
% 2.16/0.69 % (13714)Time elapsed: 0.027 s
% 2.16/0.69 % (13714)Instructions burned: 76 (million)
% 2.16/0.69 % (13713)Instruction limit reached!
% 2.16/0.69 % (13713)------------------------------
% 2.16/0.69 % (13713)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.16/0.69 % (13713)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.16/0.69 % (13713)Termination reason: Time limit
% 2.16/0.69 % (13713)Termination phase: Saturation
% 2.16/0.69
% 2.16/0.69 % (13713)Memory used [KB]: 2056
% 2.16/0.69 % (13713)Time elapsed: 0.038 s
% 2.16/0.69 % (13713)Instructions burned: 100 (million)
% 2.16/0.69 % (13712)Instruction limit reached!
% 2.16/0.69 % (13712)------------------------------
% 2.16/0.69 % (13712)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.16/0.69 % (13712)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.16/0.69 % (13712)Termination reason: Time limit
% 2.16/0.69 % (13712)Termination phase: Saturation
% 2.16/0.69
% 2.16/0.69 % (13712)Memory used [KB]: 2269
% 2.16/0.69 % (13712)Time elapsed: 0.057 s
% 2.16/0.69 % (13712)Instructions burned: 149 (million)
% 2.16/0.71 % (13716)Instruction limit reached!
% 2.16/0.71 % (13716)------------------------------
% 2.16/0.71 % (13716)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.16/0.71 % (13716)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.16/0.71 % (13716)Termination reason: Time limit
% 2.16/0.71 % (13716)Termination phase: Saturation
% 2.16/0.71
% 2.16/0.71 % (13716)Memory used [KB]: 907
% 2.16/0.71 % (13716)Time elapsed: 0.035 s
% 2.16/0.71 % (13716)Instructions burned: 100 (million)
% 2.16/0.72 % (13717)Instruction limit reached!
% 2.16/0.72 % (13717)------------------------------
% 2.16/0.72 % (13717)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.16/0.72 % (13717)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.16/0.72 % (13717)Termination reason: Time limit
% 2.16/0.72 % (13717)Termination phase: Saturation
% 2.16/0.72
% 2.16/0.72 % (13717)Memory used [KB]: 920
% 2.16/0.72 % (13717)Time elapsed: 0.036 s
% 2.16/0.72 % (13717)Instructions burned: 108 (million)
% 2.16/0.72 % (13677)Running in auto input_syntax mode. Trying TPTP
% 2.16/0.72 % (13718)lrs+10_1:1_plsq=on:plsqc=1:plsqr=32,1:tha=off:thi=overlap:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/463Mi)
% 2.16/0.72 % (13677)Running in auto input_syntax mode. Trying TPTP
% 2.16/0.72 % (13719)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=494:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/494Mi)
% 2.16/0.73 % (13677)Running in auto input_syntax mode. Trying TPTP
% 2.16/0.73 % (13720)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/223Mi)
% 2.16/0.73 % (13677)Running in auto input_syntax mode. Trying TPTP
% 2.16/0.73 % (13721)lrs+1002_1:1_av=off:br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=343:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/343Mi)
% 2.64/0.75 % (13677)Running in auto input_syntax mode. Trying TPTP
% 2.64/0.75 % (13722)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/488Mi)
% 2.64/0.76 % (13677)Running in auto input_syntax mode. Trying TPTP
% 2.64/0.76 % (13723)lrs+1010_5:1_aer=off:norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=150:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/150Mi)
% 2.67/0.80 % (13720)Instruction limit reached!
% 2.67/0.80 % (13720)------------------------------
% 2.67/0.80 % (13720)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.67/0.80 % (13720)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.67/0.80 % (13720)Termination reason: Time limit
% 2.67/0.80 % (13720)Termination phase: Saturation
% 2.67/0.80
% 2.67/0.80 % (13720)Memory used [KB]: 1247
% 2.67/0.80 % (13720)Time elapsed: 0.072 s
% 2.67/0.80 % (13720)Instructions burned: 225 (million)
% 2.67/0.81 % (13723)Instruction limit reached!
% 2.67/0.81 % (13723)------------------------------
% 2.67/0.81 % (13723)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.67/0.81 % (13723)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.67/0.81 % (13723)Termination reason: Time limit
% 2.67/0.81 % (13723)Termination phase: Saturation
% 2.67/0.81
% 2.67/0.81 % (13723)Memory used [KB]: 895
% 2.67/0.81 % (13723)Time elapsed: 0.049 s
% 2.67/0.81 % (13723)Instructions burned: 152 (million)
% 2.67/0.82 % (13721)Instruction limit reached!
% 2.67/0.82 % (13721)------------------------------
% 2.67/0.82 % (13721)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.67/0.82 % (13721)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.67/0.82 % (13721)Termination reason: Time limit
% 2.67/0.82 % (13721)Termination phase: Saturation
% 2.67/0.82
% 2.67/0.82 % (13721)Memory used [KB]: 19001
% 2.67/0.82 % (13721)Time elapsed: 0.090 s
% 2.67/0.82 % (13721)Instructions burned: 344 (million)
% 3.05/0.83 % (13677)Running in auto input_syntax mode. Trying TPTP
% 3.05/0.83 % (13724)lrs+1011_1:1_br=off:fde=none:norm_ineq=on:nwc=10.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:i=160:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/160Mi)
% 3.05/0.84 % (13677)Running in auto input_syntax mode. Trying TPTP
% 3.05/0.84 % (13725)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/370Mi)
% 3.05/0.85 % (13677)Running in auto input_syntax mode. Trying TPTP
% 3.05/0.85 % (13726)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=493:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/493Mi)
% 3.08/0.86 % (13719)Instruction limit reached!
% 3.08/0.86 % (13719)------------------------------
% 3.08/0.86 % (13719)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.08/0.86 % (13719)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.08/0.86 % (13719)Termination reason: Time limit
% 3.08/0.86 % (13719)Termination phase: Saturation
% 3.08/0.86
% 3.08/0.86 % (13719)Memory used [KB]: 2925
% 3.08/0.86 % (13719)Time elapsed: 0.140 s
% 3.08/0.86 % (13719)Instructions burned: 495 (million)
% 3.08/0.86 % (13718)Instruction limit reached!
% 3.08/0.86 % (13718)------------------------------
% 3.08/0.86 % (13718)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.08/0.86 % (13718)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.08/0.86 % (13718)Termination reason: Time limit
% 3.08/0.86 % (13718)Termination phase: Saturation
% 3.08/0.86
% 3.08/0.86 % (13718)Memory used [KB]: 1801
% 3.08/0.86 % (13718)Time elapsed: 0.143 s
% 3.08/0.86 % (13718)Instructions burned: 463 (million)
% 3.08/0.88 % (13722)Instruction limit reached!
% 3.08/0.88 % (13722)------------------------------
% 3.08/0.88 % (13722)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.08/0.88 % (13722)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.08/0.88 % (13722)Termination reason: Time limit
% 3.08/0.88 % (13722)Termination phase: Saturation
% 3.08/0.88
% 3.08/0.88 % (13722)Memory used [KB]: 3425
% 3.08/0.88 % (13722)Time elapsed: 0.129 s
% 3.08/0.88 % (13722)Instructions burned: 491 (million)
% 3.08/0.88 % (13724)Instruction limit reached!
% 3.08/0.88 % (13724)------------------------------
% 3.08/0.88 % (13724)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.08/0.88 % (13724)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.08/0.88 % (13724)Termination reason: Time limit
% 3.08/0.88 % (13724)Termination phase: Saturation
% 3.08/0.88
% 3.08/0.88 % (13724)Memory used [KB]: 1110
% 3.08/0.88 % (13724)Time elapsed: 0.051 s
% 3.08/0.88 % (13724)Instructions burned: 161 (million)
% 3.08/0.90 % (13677)Running in auto input_syntax mode. Trying TPTP
% 3.08/0.90 % (13727)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/81Mi)
% 3.08/0.90 % (13677)Running in auto input_syntax mode. Trying TPTP
% 3.08/0.90 % (13728)lrs+10_1:1_amm=sco:norm_ineq=on:nwc=3.0:plsq=on:plsqc=2:plsqr=32,1:sas=z3:sp=const_min:tha=off:to=lpo:i=146:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/146Mi)
% 3.08/0.91 % (13677)Running in auto input_syntax mode. Trying TPTP
% 3.08/0.91 % (13729)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/211Mi)
% 3.08/0.91 % (13677)Running in auto input_syntax mode. Trying TPTP
% 3.08/0.91 % (13730)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/274Mi)
% 3.08/0.92 % (13727)Instruction limit reached!
% 3.08/0.92 % (13727)------------------------------
% 3.08/0.92 % (13727)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.08/0.92 % (13727)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.08/0.92 % (13727)Termination reason: Time limit
% 3.08/0.92 % (13727)Termination phase: Saturation
% 3.08/0.92
% 3.08/0.92 % (13727)Memory used [KB]: 1449
% 3.08/0.92 % (13727)Time elapsed: 0.028 s
% 3.08/0.92 % (13727)Instructions burned: 83 (million)
% 3.80/0.94 % (13725)Instruction limit reached!
% 3.80/0.94 % (13725)------------------------------
% 3.80/0.94 % (13725)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.80/0.94 % (13725)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.80/0.94 % (13725)Termination reason: Time limit
% 3.80/0.94 % (13725)Termination phase: Saturation
% 3.80/0.94
% 3.80/0.94 % (13725)Memory used [KB]: 2327
% 3.80/0.94 % (13725)Time elapsed: 0.099 s
% 3.80/0.94 % (13725)Instructions burned: 371 (million)
% 3.80/0.95 % (13728)Instruction limit reached!
% 3.80/0.95 % (13728)------------------------------
% 3.80/0.95 % (13728)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.80/0.95 % (13728)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.80/0.95 % (13728)Termination reason: Time limit
% 3.80/0.95 % (13728)Termination phase: Saturation
% 3.80/0.95
% 3.80/0.95 % (13728)Memory used [KB]: 955
% 3.80/0.95 % (13728)Time elapsed: 0.052 s
% 3.80/0.95 % (13728)Instructions burned: 146 (million)
% 3.80/0.95 % (13677)Running in auto input_syntax mode. Trying TPTP
% 3.80/0.95 % (13731)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/330Mi)
% 4.05/0.97 % (13726)Instruction limit reached!
% 4.05/0.97 % (13726)------------------------------
% 4.05/0.97 % (13726)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.05/0.97 % (13726)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.05/0.97 % (13726)Termination reason: Time limit
% 4.05/0.97 % (13726)Termination phase: Saturation
% 4.05/0.97
% 4.05/0.97 % (13726)Memory used [KB]: 1777
% 4.05/0.97 % (13726)Time elapsed: 0.119 s
% 4.05/0.97 % (13726)Instructions burned: 495 (million)
% 4.05/0.97 % (13677)Running in auto input_syntax mode. Trying TPTP
% 4.05/0.97 % (13732)lrs+11_1:1_erd=off:fs=off:fsr=off:norm_ineq=on:nwc=10.0:s2a=on:s2at=3.0:sas=z3:tha=some:i=294:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/294Mi)
% 4.05/0.98 % (13729)Instruction limit reached!
% 4.05/0.98 % (13729)------------------------------
% 4.05/0.98 % (13729)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.05/0.98 % (13729)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.05/0.98 % (13729)Termination reason: Time limit
% 4.05/0.98 % (13729)Termination phase: Saturation
% 4.05/0.98
% 4.05/0.98 % (13729)Memory used [KB]: 2751
% 4.05/0.98 % (13729)Time elapsed: 0.069 s
% 4.05/0.98 % (13729)Instructions burned: 214 (million)
% 4.05/0.98 % (13677)Running in auto input_syntax mode. Trying TPTP
% 4.05/0.98 % (13733)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/213Mi)
% 4.05/0.99 % (13730)Instruction limit reached!
% 4.05/0.99 % (13730)------------------------------
% 4.05/0.99 % (13730)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.05/0.99 % (13730)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.05/0.99 % (13730)Termination reason: Time limit
% 4.05/0.99 % (13730)Termination phase: Saturation
% 4.05/0.99
% 4.05/0.99 % (13730)Memory used [KB]: 2592
% 4.05/0.99 % (13730)Time elapsed: 0.084 s
% 4.05/0.99 % (13730)Instructions burned: 275 (million)
% 4.05/1.00 % (13677)Running in auto input_syntax mode. Trying TPTP
% 4.05/1.00 % (13734)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=374:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/374Mi)
% 4.05/1.01 % (13677)Running in auto input_syntax mode. Trying TPTP
% 4.05/1.01 % Exception at run slice level
% 4.05/1.01 User error: bad test id ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=500:si=on:rawr=on:rtra=on_0
% 4.05/1.03 % (13677)Running in auto input_syntax mode. Trying TPTP
% 4.05/1.03 % (13736)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/488Mi)
% 4.52/1.04 % (13677)Running in auto input_syntax mode. Trying TPTP
% 4.52/1.04 % (13737)lrs+10_1:1_abs=on:ev=cautious:nwc=10.0:s2a=on:sas=z3:tha=off:thi=all:thigen=on:i=230:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/230Mi)
% 4.52/1.04 % (13733)Refutation not found, non-redundant clauses discarded% (13733)------------------------------
% 4.52/1.04 % (13733)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.52/1.04 % (13733)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.52/1.04 % (13733)Termination reason: Refutation not found, non-redundant clauses discarded
% 4.52/1.04
% 4.52/1.04 % (13733)Memory used [KB]: 2912
% 4.52/1.04 % (13733)Time elapsed: 0.063 s
% 4.52/1.04 % (13733)Instructions burned: 201 (million)
% 4.52/1.04 % (13733)------------------------------
% 4.52/1.04 % (13733)------------------------------
% 4.52/1.05 % (13732)Instruction limit reached!
% 4.52/1.05 % (13732)------------------------------
% 4.52/1.05 % (13732)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.52/1.05 % (13732)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.52/1.05 % (13732)Termination reason: Time limit
% 4.52/1.05 % (13732)Termination phase: Saturation
% 4.52/1.05
% 4.52/1.05 % (13732)Memory used [KB]: 1477
% 4.52/1.05 % (13732)Time elapsed: 0.079 s
% 4.52/1.05 % (13732)Instructions burned: 294 (million)
% 4.52/1.06 % (13731)Instruction limit reached!
% 4.52/1.06 % (13731)------------------------------
% 4.52/1.06 % (13731)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.52/1.06 % (13731)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.52/1.06 % (13731)Termination reason: Time limit
% 4.52/1.06 % (13731)Termination phase: Saturation
% 4.52/1.06
% 4.52/1.06 % (13731)Memory used [KB]: 2545
% 4.52/1.06 % (13731)Time elapsed: 0.108 s
% 4.52/1.06 % (13731)Instructions burned: 331 (million)
% 5.19/1.08 % (13677)Running in auto input_syntax mode. Trying TPTP
% 5.19/1.08 % (13739)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=382:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/382Mi)
% 5.19/1.09 % (13677)Running in auto input_syntax mode. Trying TPTP
% 5.19/1.09 % (13738)lrs+1010_1:1_bsr=unit_only:cond=on:flr=on:newcnf=on:nwc=10.0:sas=z3:to=lpo:i=360:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/360Mi)
% 5.19/1.09 % (13677)Running in auto input_syntax mode. Trying TPTP
% 5.19/1.09 % (13740)lrs+10_1:1_av=off:fde=none:lwlo=on:nwc=10.0:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/256Mi)
% 5.19/1.11 % (13737)Instruction limit reached!
% 5.19/1.11 % (13737)------------------------------
% 5.19/1.11 % (13737)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.19/1.11 % (13737)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.19/1.11 % (13737)Termination reason: Time limit
% 5.19/1.11 % (13737)Termination phase: Saturation
% 5.19/1.11
% 5.19/1.11 % (13737)Memory used [KB]: 1026
% 5.19/1.11 % (13737)Time elapsed: 0.073 s
% 5.19/1.11 % (13737)Instructions burned: 232 (million)
% 5.19/1.12 % (13734)Instruction limit reached!
% 5.19/1.12 % (13734)------------------------------
% 5.19/1.12 % (13734)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.19/1.12 % (13734)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.19/1.12 % (13734)Termination reason: Time limit
% 5.19/1.12 % (13734)Termination phase: Saturation
% 5.19/1.12
% 5.19/1.12 % (13734)Memory used [KB]: 2093
% 5.19/1.12 % (13734)Time elapsed: 0.117 s
% 5.19/1.12 % (13734)Instructions burned: 377 (million)
% 5.57/1.15 % (13677)Running in auto input_syntax mode. Trying TPTP
% 5.57/1.15 % (13741)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/1006Mi)
% 5.57/1.15 % (13736)Instruction limit reached!
% 5.57/1.15 % (13736)------------------------------
% 5.57/1.15 % (13736)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.57/1.15 % (13736)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.57/1.15 % (13736)Termination reason: Time limit
% 5.57/1.15 % (13736)Termination phase: Saturation
% 5.57/1.15
% 5.57/1.15 % (13736)Memory used [KB]: 3356
% 5.57/1.15 % (13736)Time elapsed: 0.122 s
% 5.57/1.15 % (13736)Instructions burned: 488 (million)
% 5.57/1.15 % (13677)Running in auto input_syntax mode. Trying TPTP
% 5.57/1.15 % (13742)dis+1004_1:3_av=off:bs=on:plsq=on:i=3721:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/3721Mi)
% 5.70/1.18 % (13740)Refutation not found, non-redundant clauses discarded% (13740)------------------------------
% 5.70/1.18 % (13740)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.70/1.18 % (13740)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.70/1.18 % (13740)Termination reason: Refutation not found, non-redundant clauses discarded
% 5.70/1.18
% 5.70/1.18 % (13740)Memory used [KB]: 1747
% 5.70/1.18 % (13740)Time elapsed: 0.083 s
% 5.70/1.18 % (13740)Instructions burned: 248 (million)
% 5.70/1.18 % (13740)------------------------------
% 5.70/1.18 % (13740)------------------------------
% 5.70/1.18 % (13677)Running in auto input_syntax mode. Trying TPTP
% 5.70/1.18 % (13743)ott+10_1:1_bd=preordered:drc=off:fd=preordered:nwc=5.0:sp=reverse_frequency:i=501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/501Mi)
% 5.70/1.18 % (13739)Instruction limit reached!
% 5.70/1.18 % (13739)------------------------------
% 5.70/1.18 % (13739)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.70/1.18 % (13739)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.70/1.18 % (13739)Termination reason: Time limit
% 5.70/1.18 % (13739)Termination phase: Saturation
% 5.70/1.18
% 5.70/1.18 % (13739)Memory used [KB]: 3109
% 5.70/1.18 % (13739)Time elapsed: 0.100 s
% 5.70/1.18 % (13739)Instructions burned: 382 (million)
% 5.70/1.20 % (13738)Instruction limit reached!
% 5.70/1.20 % (13738)------------------------------
% 5.70/1.20 % (13738)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.70/1.20 % (13738)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.70/1.20 % (13738)Termination reason: Time limit
% 5.70/1.20 % (13738)Termination phase: Saturation
% 5.70/1.20
% 5.70/1.20 % (13738)Memory used [KB]: 1883
% 5.70/1.20 % (13738)Time elapsed: 0.136 s
% 5.70/1.20 % (13738)Instructions burned: 360 (million)
% 5.70/1.21 % (13677)Running in auto input_syntax mode. Trying TPTP
% 5.70/1.21 % (13744)ott+1011_1:1_anc=all:avsq=on:avsqc=1:bsr=unit_only:drc=off:erd=off:fs=off:fsr=off:nwc=3.0:s2a=on:s2at=1.5:sac=on:urr=on:i=1705:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/1705Mi)
% 5.70/1.21 % (13677)Running in auto input_syntax mode. Trying TPTP
% 5.70/1.21 % (13745)lrs+10_1:1_av=off:sd=10:sos=all:ss=axioms:st=4.0:i=2416:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/2416Mi)
% 5.85/1.23 % (13677)Running in auto input_syntax mode. Trying TPTP
% 5.85/1.23 % (13746)dis+10_1:64_s2a=on:s2agt=16:slsq=on:slsqc=1:slsqr=1,1:i=1683:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/1683Mi)
% 5.95/1.34 % (13743)Instruction limit reached!
% 5.95/1.34 % (13743)------------------------------
% 5.95/1.34 % (13743)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.95/1.34 % (13743)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.95/1.34 % (13743)Termination reason: Time limit
% 5.95/1.34 % (13743)Termination phase: Saturation
% 5.95/1.34
% 5.95/1.34 % (13743)Memory used [KB]: 3811
% 5.95/1.34 % (13743)Time elapsed: 0.165 s
% 5.95/1.34 % (13743)Instructions burned: 501 (million)
% 6.19/1.37 % (13677)Running in auto input_syntax mode. Trying TPTP
% 6.19/1.37 % (13747)dis+1011_1:1_av=off:fsr=off:nm=6:plsq=on:s2a=on:s2at=3.0:slsq=on:slsqc=0:slsqr=1,8:sp=frequency:to=lpo:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/330Mi)
% 6.29/1.47 % (13741)Instruction limit reached!
% 6.29/1.47 % (13741)------------------------------
% 6.29/1.47 % (13741)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.29/1.47 % (13741)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.29/1.47 % (13741)Termination reason: Time limit
% 6.29/1.47 % (13741)Termination phase: Saturation
% 6.29/1.47
% 6.29/1.47 % (13741)Memory used [KB]: 6495
% 6.29/1.47 % (13741)Time elapsed: 0.329 s
% 6.29/1.47 % (13741)Instructions burned: 1006 (million)
% 6.29/1.48 % (13747)Instruction limit reached!
% 6.29/1.48 % (13747)------------------------------
% 6.29/1.48 % (13747)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.29/1.48 % (13747)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.29/1.48 % (13747)Termination reason: Time limit
% 6.29/1.48 % (13747)Termination phase: Saturation
% 6.29/1.48
% 6.29/1.48 % (13747)Memory used [KB]: 2989
% 6.29/1.48 % (13747)Time elapsed: 0.105 s
% 6.29/1.48 % (13747)Instructions burned: 332 (million)
% 6.29/1.51 % (13677)Running in auto input_syntax mode. Trying TPTP
% 6.29/1.51 % (13748)lrs+10_1:1_afp=1:sac=on:sas=z3:tha=off:i=113:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/113Mi)
% 6.29/1.51 % (13677)Running in auto input_syntax mode. Trying TPTP
% 6.29/1.51 % (13749)lrs+10_1:1_ep=RS:fsr=off:sos=all:i=3217:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/3217Mi)
% 6.84/1.54 % (13748)Instruction limit reached!
% 6.84/1.54 % (13748)------------------------------
% 6.84/1.54 % (13748)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.84/1.54 % (13748)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.84/1.54 % (13748)Termination reason: Time limit
% 6.84/1.54 % (13748)Termination phase: Saturation
% 6.84/1.54
% 6.84/1.54 % (13748)Memory used [KB]: 869
% 6.84/1.54 % (13748)Time elapsed: 0.034 s
% 6.84/1.54 % (13748)Instructions burned: 116 (million)
% 6.93/1.57 % (13677)Running in auto input_syntax mode. Trying TPTP
% 6.93/1.57 % (13750)ott+10_6715:511922_awrs=decay:awrsf=1:bd=preordered:bs=on:drc=off:fd=preordered:nwc=5.0:sp=frequency:spb=goal_then_units:uwa=interpreted_only:i=3528:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/3528Mi)
% 6.93/1.58 % (13744)Instruction limit reached!
% 6.93/1.58 % (13744)------------------------------
% 6.93/1.58 % (13744)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.93/1.58 % (13744)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.93/1.58 % (13744)Termination reason: Time limit
% 6.93/1.58 % (13744)Termination phase: Saturation
% 6.93/1.58
% 6.93/1.58 % (13744)Memory used [KB]: 3283
% 6.93/1.58 % (13744)Time elapsed: 0.379 s
% 6.93/1.58 % (13744)Instructions burned: 1705 (million)
% 6.93/1.62 % (13677)Running in auto input_syntax mode. Trying TPTP
% 6.93/1.62 % (13751)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=2304:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/2304Mi)
% 9.84/1.75 % (13746)Instruction limit reached!
% 9.84/1.75 % (13746)------------------------------
% 9.84/1.75 % (13746)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.84/1.75 % (13746)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.84/1.75 % (13746)Termination reason: Time limit
% 9.84/1.75 % (13746)Termination phase: Saturation
% 9.84/1.75
% 9.84/1.75 % (13746)Memory used [KB]: 9247
% 9.84/1.75 % (13746)Time elapsed: 0.544 s
% 9.84/1.75 % (13746)Instructions burned: 1684 (million)
% 9.97/1.79 % (13677)Running in auto input_syntax mode. Trying TPTP
% 9.97/1.79 % (13752)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=3780:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/3780Mi)
% 10.94/1.94 % (13745)Refutation not found, non-redundant clauses discarded% (13745)------------------------------
% 10.94/1.94 % (13745)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.94/1.94 % (13745)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.94/1.94 % (13745)Termination reason: Refutation not found, non-redundant clauses discarded
% 10.94/1.94
% 10.94/1.94 % (13745)Memory used [KB]: 7440
% 10.94/1.94 % (13745)Time elapsed: 0.731 s
% 10.94/1.94 % (13745)Instructions burned: 2263 (million)
% 10.94/1.94 % (13745)------------------------------
% 10.94/1.94 % (13745)------------------------------
% 10.94/1.97 % (13677)Running in auto input_syntax mode. Trying TPTP
% 10.94/1.97 % (13753)lrs+10_1:32_newcnf=on:sas=z3:tgt=ground:tha=off:i=238:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/238Mi)
% 11.22/2.05 % (13753)Instruction limit reached!
% 11.22/2.05 % (13753)------------------------------
% 11.22/2.05 % (13753)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.22/2.05 % (13753)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.22/2.05 % (13753)Termination reason: Time limit
% 11.22/2.05 % (13753)Termination phase: Saturation
% 11.22/2.05
% 11.22/2.05 % (13753)Memory used [KB]: 1485
% 11.22/2.05 % (13753)Time elapsed: 0.099 s
% 11.22/2.05 % (13753)Instructions burned: 240 (million)
% 11.75/2.08 % (13677)Running in auto input_syntax mode. Trying TPTP
% 11.75/2.08 % (13754)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=656:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/656Mi)
% 12.66/2.17 % (13751)Instruction limit reached!
% 12.66/2.17 % (13751)------------------------------
% 12.66/2.17 % (13751)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 12.66/2.17 % (13751)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 12.66/2.17 % (13751)Termination reason: Time limit
% 12.66/2.17 % (13751)Termination phase: Saturation
% 12.66/2.17
% 12.66/2.17 % (13751)Memory used [KB]: 6734
% 12.66/2.17 % (13751)Time elapsed: 0.577 s
% 12.66/2.17 % (13751)Instructions burned: 2308 (million)
% 12.66/2.20 % (13677)Running in auto input_syntax mode. Trying TPTP
% 12.66/2.20 % (13755)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=485:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/485Mi)
% 13.19/2.28 % (13754)Instruction limit reached!
% 13.19/2.28 % (13754)------------------------------
% 13.19/2.28 % (13754)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.19/2.28 % (13754)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.19/2.28 % (13754)Termination reason: Time limit
% 13.19/2.28 % (13754)Termination phase: Saturation
% 13.19/2.28
% 13.19/2.28 % (13754)Memory used [KB]: 2607
% 13.19/2.28 % (13754)Time elapsed: 0.217 s
% 13.19/2.28 % (13754)Instructions burned: 656 (million)
% 13.19/2.28 % (13742)Instruction limit reached!
% 13.19/2.28 % (13742)------------------------------
% 13.19/2.28 % (13742)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.19/2.28 % (13742)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.19/2.28 % (13742)Termination reason: Time limit
% 13.19/2.28 % (13742)Termination phase: Saturation
% 13.19/2.28
% 13.19/2.28 % (13742)Memory used [KB]: 20963
% 13.19/2.28 % (13742)Time elapsed: 1.132 s
% 13.19/2.28 % (13742)Instructions burned: 3722 (million)
% 13.52/2.31 % (13677)Running in auto input_syntax mode. Trying TPTP
% 13.52/2.31 % (13756)lrs+1010_1:1_aac=none:abs=on:bd=off:fd=off:nm=0:sas=z3:sims=off:tha=off:to=lpo:i=1302:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/1302Mi)
% 13.52/2.31 % (13677)Running in auto input_syntax mode. Trying TPTP
% 13.52/2.31 % (13757)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=980:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/980Mi)
% 13.76/2.35 % (13755)Instruction limit reached!
% 13.76/2.35 % (13755)------------------------------
% 13.76/2.35 % (13755)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.76/2.35 % (13755)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.76/2.35 % (13755)Termination reason: Time limit
% 13.76/2.35 % (13755)Termination phase: Saturation
% 13.76/2.35
% 13.76/2.35 % (13755)Memory used [KB]: 3504
% 13.76/2.35 % (13755)Time elapsed: 0.149 s
% 13.76/2.35 % (13755)Instructions burned: 486 (million)
% 13.96/2.38 % (13677)Running in auto input_syntax mode. Trying TPTP
% 13.96/2.38 % Exception at run slice level
% 13.96/2.38 User error: bad test id ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=591:si=on:rawr=on:rtra=on_0
% 14.19/2.42 % (13677)Running in auto input_syntax mode. Trying TPTP
% 14.19/2.42 % (13759)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=638:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/638Mi)
% 14.71/2.55 % (13749)Instruction limit reached!
% 14.71/2.55 % (13749)------------------------------
% 14.71/2.55 % (13749)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.71/2.55 % (13749)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.71/2.55 % (13749)Termination reason: Time limit
% 14.71/2.55 % (13749)Termination phase: Saturation
% 14.71/2.55
% 14.71/2.55 % (13749)Memory used [KB]: 18950
% 14.71/2.55 % (13749)Time elapsed: 1.063 s
% 14.71/2.55 % (13749)Instructions burned: 3218 (million)
% 14.71/2.56 % (13757)Instruction limit reached!
% 14.71/2.56 % (13757)------------------------------
% 14.71/2.56 % (13757)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.71/2.56 % (13757)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.71/2.56 % (13757)Termination reason: Time limit
% 14.71/2.56 % (13757)Termination phase: Saturation
% 14.71/2.56
% 14.71/2.56 % (13757)Memory used [KB]: 5124
% 14.71/2.56 % (13757)Time elapsed: 0.244 s
% 14.71/2.56 % (13757)Instructions burned: 982 (million)
% 14.71/2.56 % (13756)Instruction limit reached!
% 14.71/2.56 % (13756)------------------------------
% 14.71/2.56 % (13756)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.71/2.56 % (13756)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.71/2.56 % (13756)Termination reason: Time limit
% 14.71/2.56 % (13756)Termination phase: Saturation
% 14.71/2.56
% 14.71/2.56 % (13756)Memory used [KB]: 1307
% 14.71/2.56 % (13756)Time elapsed: 0.249 s
% 14.71/2.56 % (13756)Instructions burned: 1307 (million)
% 14.71/2.57 % (13759)Instruction limit reached!
% 14.71/2.57 % (13759)------------------------------
% 14.71/2.57 % (13759)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.71/2.57 % (13759)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.71/2.57 % (13759)Termination reason: Time limit
% 14.71/2.57 % (13759)Termination phase: Saturation
% 14.71/2.57
% 14.71/2.57 % (13759)Memory used [KB]: 3825
% 14.71/2.57 % (13759)Time elapsed: 0.159 s
% 14.71/2.57 % (13759)Instructions burned: 640 (million)
% 14.71/2.58 % (13677)Running in auto input_syntax mode. Trying TPTP
% 14.71/2.58 % (13760)WARNING: option skr not known.
% 14.71/2.58 % (13760)dis+1010_137062:920759_aac=none:abs=on:amm=sco:anc=none:asg=cautious:atotf=0.5:avsq=on:avsqc=2:avsqr=383,440:bce=on:bsd=on:erd=off:fde=unused:gs=on:gve=cautious:newcnf=on:nwc=3.3:sac=on:sas=z3:sfv=off:skr=on:spb=goal:tgt=ground:thsq=on:thsqc=128:thsql=off:uwa=all:i=947:si=on:rawr=on:rtra=on_0 on theBenchmark for (2977ds/947Mi)
% 14.71/2.59 % (13677)Running in auto input_syntax mode. Trying TPTP
% 14.71/2.59 % (13762)lrs+10_1:128_asg=cautious:drc=off:fde=none:gve=force:norm_ineq=on:sas=z3:sos=all:sp=reverse_arity:spb=intro:ss=axioms:to=lpo:uwa=one_side_constant:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2977ds/370Mi)
% 15.64/2.59 % (13677)Running in auto input_syntax mode. Trying TPTP
% 15.64/2.59 % (13761)lrs+10_1:1024_drc=off:fde=none:gve=force:nm=4:norm_ineq=on:sas=z3:sos=all:sp=const_min:spb=non_intro:to=lpo:uwa=one_side_constant:i=691:si=on:rawr=on:rtra=on_0 on theBenchmark for (2977ds/691Mi)
% 15.64/2.61 % (13677)Running in auto input_syntax mode. Trying TPTP
% 15.64/2.61 % (13763)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=361:si=on:rawr=on:rtra=on_0 on theBenchmark for (2977ds/361Mi)
% 15.82/2.65 % (13750)Instruction limit reached!
% 15.82/2.65 % (13750)------------------------------
% 15.82/2.65 % (13750)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 15.82/2.65 % (13750)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 15.82/2.65 % (13750)Termination reason: Time limit
% 15.82/2.65 % (13750)Termination phase: Saturation
% 15.82/2.65
% 15.82/2.65 % (13750)Memory used [KB]: 6675
% 15.82/2.65 % (13750)Time elapsed: 1.103 s
% 15.82/2.65 % (13750)Instructions burned: 3528 (million)
% 15.85/2.68 % (13677)Running in auto input_syntax mode. Trying TPTP
% 15.85/2.68 % (13764)lrs+1011_1:1_bce=on:drc=off:erd=off:gve=force:ins=2:norm_ineq=on:sac=on:sp=frequency:tha=some:urr=on:i=3058:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/3058Mi)
% 15.85/2.69 % (13762)Instruction limit reached!
% 15.85/2.69 % (13762)------------------------------
% 15.85/2.69 % (13762)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 15.85/2.69 % (13762)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 15.85/2.69 % (13762)Termination reason: Time limit
% 15.85/2.69 % (13762)Termination phase: Saturation
% 15.85/2.69
% 15.85/2.69 % (13762)Memory used [KB]: 2301
% 15.85/2.69 % (13762)Time elapsed: 0.103 s
% 15.85/2.69 % (13762)Instructions burned: 373 (million)
% 15.85/2.70 % (13763)Instruction limit reached!
% 15.85/2.70 % (13763)------------------------------
% 15.85/2.70 % (13763)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 15.85/2.70 % (13763)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 15.85/2.70 % (13763)Termination reason: Time limit
% 15.85/2.70 % (13763)Termination phase: Saturation
% 15.85/2.70
% 15.85/2.70 % (13763)Memory used [KB]: 2327
% 15.85/2.70 % (13763)Time elapsed: 0.096 s
% 15.85/2.70 % (13763)Instructions burned: 363 (million)
% 16.57/2.72 % (13677)Running in auto input_syntax mode. Trying TPTP
% 16.57/2.72 % (13765)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=1198:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/1198Mi)
% 16.57/2.75 % (13677)Running in auto input_syntax mode. Trying TPTP
% 16.57/2.75 % (13766)lrs+11_1:1_avsq=on:avsql=on:avsqr=1,16:norm_ineq=on:nwc=10.0:plsq=on:sas=z3:tha=off:urr=on:i=2501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/2501Mi)
% 16.85/2.76 % (13761)Instruction limit reached!
% 16.85/2.76 % (13761)------------------------------
% 16.85/2.76 % (13761)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 16.85/2.76 % (13761)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 16.85/2.76 % (13761)Termination reason: Time limit
% 16.85/2.76 % (13761)Termination phase: Saturation
% 16.85/2.76
% 16.85/2.76 % (13761)Memory used [KB]: 3177
% 16.85/2.76 % (13761)Time elapsed: 0.169 s
% 16.85/2.76 % (13761)Instructions burned: 694 (million)
% 16.85/2.79 % (13677)Running in auto input_syntax mode. Trying TPTP
% 16.85/2.79 % (13767)lrs+10_1:1_av=off:fde=none:lwlo=on:nwc=10.0:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/256Mi)
% 16.85/2.80 % (13752)Instruction limit reached!
% 16.85/2.80 % (13752)------------------------------
% 16.85/2.80 % (13752)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 16.85/2.80 % (13752)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 16.85/2.80 % (13752)Termination reason: Time limit
% 16.85/2.80 % (13752)Termination phase: Saturation
% 16.85/2.80
% 16.85/2.80 % (13752)Memory used [KB]: 7804
% 16.85/2.80 % (13752)Time elapsed: 1.026 s
% 16.85/2.80 % (13752)Instructions burned: 3783 (million)
% 16.85/2.83 % (13677)Running in auto input_syntax mode. Trying TPTP
% 16.85/2.83 % (13768)dis+1011_1:1_bd=preordered:sd=2:sos=all:ss=axioms:i=217:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/217Mi)
% 16.85/2.84 % (13760)Instruction limit reached!
% 16.85/2.84 % (13760)------------------------------
% 16.85/2.84 % (13760)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 16.85/2.84 % (13760)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 16.85/2.84 % (13760)Termination reason: Time limit
% 16.85/2.84 % (13760)Termination phase: Saturation
% 16.85/2.84
% 16.85/2.84 % (13760)Memory used [KB]: 5407
% 16.85/2.84 % (13760)Time elapsed: 0.255 s
% 16.85/2.84 % (13760)Instructions burned: 948 (million)
% 17.38/2.87 % (13677)Running in auto input_syntax mode. Trying TPTP
% 17.38/2.87 % (13769)ott+11_1:1_aac=none:amm=off:bd=off:fsr=off:sas=z3:sos=all:sp=const_frequency:tha=off:i=1168:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/1168Mi)
% 17.38/2.87 % (13767)Instruction limit reached!
% 17.38/2.87 % (13767)------------------------------
% 17.38/2.87 % (13767)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 17.38/2.87 % (13767)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 17.38/2.87 % (13767)Termination reason: Time limit
% 17.38/2.87 % (13767)Termination phase: Saturation
% 17.38/2.87
% 17.38/2.87 % (13767)Memory used [KB]: 1914
% 17.38/2.87 % (13767)Time elapsed: 0.085 s
% 17.38/2.88 % (13767)Instructions burned: 257 (million)
% 17.67/2.91 % (13677)Running in auto input_syntax mode. Trying TPTP
% 17.67/2.91 % (13770)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (2974ds/1006Mi)
% 17.67/2.91 % (13768)Instruction limit reached!
% 17.67/2.91 % (13768)------------------------------
% 17.67/2.91 % (13768)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 17.67/2.91 % (13768)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 17.67/2.91 % (13768)Termination reason: Time limit
% 17.67/2.91 % (13768)Termination phase: Saturation
% 17.67/2.91
% 17.67/2.91 % (13768)Memory used [KB]: 2584
% 17.67/2.91 % (13768)Time elapsed: 0.077 s
% 17.67/2.91 % (13768)Instructions burned: 217 (million)
% 17.98/2.94 % (13677)Running in auto input_syntax mode. Trying TPTP
% 17.98/2.94 % (13771)dis+1004_1:3_av=off:bs=on:plsq=on:i=4966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2974ds/4966Mi)
% 18.02/2.99 % (13765)Instruction limit reached!
% 18.02/2.99 % (13765)------------------------------
% 18.02/2.99 % (13765)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 18.02/2.99 % (13765)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 18.02/2.99 % (13765)Termination reason: Time limit
% 18.02/2.99 % (13765)Termination phase: Saturation
% 18.02/2.99
% 18.02/2.99 % (13765)Memory used [KB]: 3836
% 18.02/2.99 % (13765)Time elapsed: 0.267 s
% 18.02/2.99 % (13765)Instructions burned: 1200 (million)
% 18.22/3.02 % (13677)Running in auto input_syntax mode. Trying TPTP
% 18.22/3.02 % (13772)ott+10_18762:894869_awrs=decay:awrsf=8:bsd=on:drc=off:fsr=off:irw=on:newcnf=on:slsq=on:slsqc=1:slsqr=76,61:i=4835:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/4835Mi)
% 18.37/3.13 % (13769)Instruction limit reached!
% 18.37/3.13 % (13769)------------------------------
% 18.37/3.13 % (13769)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 18.37/3.13 % (13769)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 18.37/3.13 % (13769)Termination reason: Time limit
% 18.37/3.13 % (13769)Termination phase: Saturation
% 18.37/3.13
% 18.37/3.13 % (13769)Memory used [KB]: 2296
% 18.37/3.13 % (13769)Time elapsed: 0.263 s
% 18.37/3.13 % (13769)Instructions burned: 1172 (million)
% 18.94/3.17 % (13677)Running in auto input_syntax mode. Trying TPTP
% 18.94/3.17 % (13773)ott+0_1:128_afr=on:amm=sco:anc=none:awrs=converge:awrsf=110:bsd=on:cond=fast:etr=on:fde=unused:flr=on:fsd=on:gve=force:irw=on:norm_ineq=on:sas=z3:sos=all:spb=units:tha=off:thi=strong:to=lpo:uwa=one_side_interpreted:i=3932:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/3932Mi)
% 19.08/3.23 % (13770)Instruction limit reached!
% 19.08/3.23 % (13770)------------------------------
% 19.08/3.23 % (13770)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 19.08/3.23 % (13770)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 19.08/3.23 % (13770)Termination reason: Time limit
% 19.08/3.23 % (13770)Termination phase: Saturation
% 19.08/3.23
% 19.08/3.23 % (13770)Memory used [KB]: 6546
% 19.08/3.23 % (13770)Time elapsed: 0.329 s
% 19.08/3.23 % (13770)Instructions burned: 1007 (million)
% 20.34/3.27 % (13677)Running in auto input_syntax mode. Trying TPTP
% 20.34/3.27 % (13774)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=1742:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/1742Mi)
% 20.76/3.33 % (13766)Instruction limit reached!
% 20.76/3.33 % (13766)------------------------------
% 20.76/3.33 % (13766)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 20.76/3.33 % (13766)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 20.76/3.33 % (13766)Termination reason: Time limit
% 20.76/3.33 % (13766)Termination phase: Saturation
% 20.76/3.33
% 20.76/3.33 % (13766)Memory used [KB]: 9235
% 20.76/3.33 % (13766)Time elapsed: 0.584 s
% 20.76/3.33 % (13766)Instructions burned: 2504 (million)
% 21.08/3.37 % (13677)Running in auto input_syntax mode. Trying TPTP
% 21.08/3.37 % (13775)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=3843:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/3843Mi)
% 21.08/3.41 % (13764)Instruction limit reached!
% 21.08/3.41 % (13764)------------------------------
% 21.08/3.41 % (13764)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 21.08/3.41 % (13764)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 21.08/3.41 % (13764)Termination reason: Time limit
% 21.08/3.41 % (13764)Termination phase: Saturation
% 21.08/3.41
% 21.08/3.41 % (13764)Memory used [KB]: 3590
% 21.08/3.41 % (13764)Time elapsed: 0.724 s
% 21.08/3.41 % (13764)Instructions burned: 3059 (million)
% 21.08/3.44 % (13677)Running in auto input_syntax mode. Trying TPTP
% 21.08/3.44 % (13776)WARNING: option skr not known.
% 21.08/3.44 % (13776)dis+1010_137062:920759_aac=none:abs=on:amm=sco:anc=none:asg=cautious:atotf=0.5:avsq=on:avsqc=2:avsqr=383,440:bce=on:bsd=on:erd=off:fde=unused:gs=on:gve=cautious:newcnf=on:nwc=3.3:sac=on:sas=z3:sfv=off:skr=on:spb=goal:tgt=ground:thsq=on:thsqc=128:thsql=off:uwa=all:i=947:si=on:rawr=on:rtra=on_0 on theBenchmark for (2969ds/947Mi)
% 22.64/3.69 % (13774)Instruction limit reached!
% 22.64/3.69 % (13774)------------------------------
% 22.64/3.69 % (13774)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 22.64/3.69 % (13774)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 22.64/3.69 % (13774)Termination reason: Time limit
% 22.64/3.69 % (13774)Termination phase: Saturation
% 22.64/3.69
% 22.64/3.69 % (13774)Memory used [KB]: 5509
% 22.64/3.69 % (13774)Time elapsed: 0.425 s
% 22.64/3.69 % (13774)Instructions burned: 1745 (million)
% 22.64/3.70 % (13776)Instruction limit reached!
% 22.64/3.70 % (13776)------------------------------
% 22.64/3.70 % (13776)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 22.64/3.70 % (13776)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 22.64/3.70 % (13776)Termination reason: Time limit
% 22.64/3.70 % (13776)Termination phase: Saturation
% 22.64/3.70
% 22.64/3.70 % (13776)Memory used [KB]: 5409
% 22.64/3.70 % (13776)Time elapsed: 0.261 s
% 22.64/3.70 % (13776)Instructions burned: 950 (million)
% 22.64/3.72 % (13677)Running in auto input_syntax mode. Trying TPTP
% 22.64/3.72 % (13777)dis+10_1:14_awrs=converge:sp=unary_first:tgt=ground:i=3622:si=on:rawr=on:rtra=on_0 on theBenchmark for (2966ds/3622Mi)
% 22.64/3.73 % (13677)Running in auto input_syntax mode. Trying TPTP
% 22.64/3.73 % (13778)lrs+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=4725:si=on:rawr=on:rtra=on_0 on theBenchmark for (2966ds/4725Mi)
% 25.26/4.00 % (13773)Instruction limit reached!
% 25.26/4.00 % (13773)------------------------------
% 25.26/4.00 % (13773)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 25.26/4.00 % (13773)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 25.26/4.00 % (13773)Termination reason: Time limit
% 25.26/4.00 % (13773)Termination phase: Saturation
% 25.26/4.00
% 25.26/4.00 % (13773)Memory used [KB]: 7158
% 25.26/4.00 % (13773)Time elapsed: 0.832 s
% 25.26/4.00 % (13773)Instructions burned: 3935 (million)
% 25.26/4.03 % (13677)Running in auto input_syntax mode. Trying TPTP
% 25.26/4.03 % (13779)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=1518:si=on:rawr=on:rtra=on_0 on theBenchmark for (2963ds/1518Mi)
% 27.56/4.34 % (13775)Instruction limit reached!
% 27.56/4.34 % (13775)------------------------------
% 27.56/4.34 % (13775)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 27.56/4.34 % (13775)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 27.56/4.34 % (13775)Termination reason: Time limit
% 27.56/4.34 % (13775)Termination phase: Saturation
% 27.56/4.34
% 27.56/4.34 % (13775)Memory used [KB]: 7842
% 27.56/4.34 % (13775)Time elapsed: 0.970 s
% 27.56/4.34 % (13775)Instructions burned: 3845 (million)
% 27.56/4.37 % (13677)Running in auto input_syntax mode. Trying TPTP
% 27.56/4.37 % (13780)lrs+11_1:1_avsq=on:avsql=on:avsqr=1,16:norm_ineq=on:nwc=10.0:plsq=on:sas=z3:tha=off:urr=on:i=2661:si=on:rawr=on:rtra=on_0 on theBenchmark for (2960ds/2661Mi)
% 28.16/4.40 % (13779)Instruction limit reached!
% 28.16/4.40 % (13779)------------------------------
% 28.16/4.40 % (13779)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 28.16/4.40 % (13779)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 28.16/4.40 % (13779)Termination reason: Time limit
% 28.16/4.40 % (13779)Termination phase: Saturation
% 28.16/4.40
% 28.16/4.40 % (13779)Memory used [KB]: 7437
% 28.16/4.40 % (13779)Time elapsed: 0.367 s
% 28.16/4.40 % (13779)Instructions burned: 1519 (million)
% 28.16/4.43 % (13677)Running in auto input_syntax mode. Trying TPTP
% 28.16/4.43 % (13781)ott+11_2:1_add=large:afp=4000:newcnf=on:sd=1:sos=on:sp=const_min:ss=axioms:i=1324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2959ds/1324Mi)
% 28.72/4.47 % (13771)Instruction limit reached!
% 28.72/4.47 % (13771)------------------------------
% 28.72/4.47 % (13771)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 28.72/4.47 % (13771)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 28.72/4.47 % (13771)Termination reason: Time limit
% 28.72/4.47 % (13771)Termination phase: Saturation
% 28.72/4.47
% 28.72/4.47 % (13771)Memory used [KB]: 30068
% 28.72/4.47 % (13771)Time elapsed: 1.528 s
% 28.72/4.47 % (13771)Instructions burned: 4967 (million)
% 28.72/4.51 % (13677)Running in auto input_syntax mode. Trying TPTP
% 28.72/4.51 % (13782)ott+11_1:1_aac=none:amm=off:bd=off:fsr=off:sas=z3:sos=all:sp=const_frequency:tha=off:i=1168:si=on:rawr=on:rtra=on_0 on theBenchmark for (2958ds/1168Mi)
% 30.12/4.75 % (13772)Instruction limit reached!
% 30.12/4.75 % (13772)------------------------------
% 30.12/4.75 % (13772)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 30.12/4.75 % (13772)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 30.12/4.75 % (13772)Termination reason: Time limit
% 30.12/4.75 % (13772)Termination phase: Saturation
% 30.12/4.75
% 30.12/4.75 % (13772)Memory used [KB]: 19913
% 30.12/4.75 % (13772)Time elapsed: 1.728 s
% 30.12/4.75 % (13772)Instructions burned: 4836 (million)
% 30.27/4.78 % (13782)Instruction limit reached!
% 30.27/4.78 % (13782)------------------------------
% 30.27/4.78 % (13782)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 30.27/4.78 % (13782)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 30.27/4.78 % (13782)Termination reason: Time limit
% 30.27/4.78 % (13782)Termination phase: Saturation
% 30.27/4.78
% 30.27/4.78 % (13782)Memory used [KB]: 2296
% 30.27/4.78 % (13782)Time elapsed: 0.270 s
% 30.27/4.78 % (13782)Instructions burned: 1172 (million)
% 30.27/4.79 % (13778)Instruction limit reached!
% 30.27/4.79 % (13778)------------------------------
% 30.27/4.79 % (13778)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 30.27/4.79 % (13778)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 30.27/4.79 % (13778)Termination reason: Time limit
% 30.27/4.79 % (13778)Termination phase: Saturation
% 30.27/4.79
% 30.27/4.79 % (13778)Memory used [KB]: 2291
% 30.27/4.79 % (13778)Time elapsed: 1.054 s
% 30.27/4.79 % (13778)Instructions burned: 4727 (million)
% 30.27/4.79 % (13677)Running in auto input_syntax mode. Trying TPTP
% 30.27/4.79 % (13783)dis+1004_1:3_av=off:bs=on:plsq=on:i=11321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2956ds/11321Mi)
% 30.27/4.81 % (13677)Running in auto input_syntax mode. Trying TPTP
% 30.27/4.81 % (13784)lrs+10_1:1_av=off:sd=10:sos=all:ss=axioms:st=4.0:i=12082:si=on:rawr=on:rtra=on_0 on theBenchmark for (2955ds/12082Mi)
% 30.27/4.82 % (13677)Running in auto input_syntax mode. Trying TPTP
% 30.27/4.82 % (13785)lrs+10_3:1_abs=on:ep=RST:newcnf=on:nm=2:sas=z3:sd=1:sos=all:ss=included:to=lpo:i=31695:si=on:rawr=on:rtra=on_0 on theBenchmark for (2955ds/31695Mi)
% 30.77/4.84 % (13777)Instruction limit reached!
% 30.77/4.84 % (13777)------------------------------
% 30.77/4.84 % (13777)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 30.77/4.84 % (13777)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 30.77/4.84 % (13777)Termination reason: Time limit
% 30.77/4.84 % (13777)Termination phase: Saturation
% 30.77/4.84
% 30.77/4.84 % (13777)Memory used [KB]: 28295
% 30.77/4.84 % (13777)Time elapsed: 1.117 s
% 30.77/4.84 % (13777)Instructions burned: 3622 (million)
% 30.85/4.86 % (13781)Instruction limit reached!
% 30.85/4.86 % (13781)------------------------------
% 30.85/4.86 % (13781)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 30.85/4.86 % (13781)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 30.85/4.86 % (13781)Termination reason: Time limit
% 30.85/4.86 % (13781)Termination phase: Saturation
% 30.85/4.86
% 30.85/4.86 % (13781)Memory used [KB]: 5763
% 30.85/4.86 % (13781)Time elapsed: 0.432 s
% 30.85/4.86 % (13781)Instructions burned: 1324 (million)
% 30.85/4.87 % (13677)Running in auto input_syntax mode. Trying TPTP
% 30.85/4.87 % (13786)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=7145:si=on:rawr=on:rtra=on_0 on theBenchmark for (2955ds/7145Mi)
% 30.85/4.89 % (13677)Running in auto input_syntax mode. Trying TPTP
% 30.85/4.89 % (13787)lrs+10_1:1_br=off:ep=RSTC:plsq=on:plsqc=1:plsqr=32,1:urr=on:i=48352:si=on:rawr=on:rtra=on_0 on theBenchmark for (2955ds/48352Mi)
% 32.39/4.99 % (13780)Instruction limit reached!
% 32.39/4.99 % (13780)------------------------------
% 32.39/4.99 % (13780)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 32.39/4.99 % (13780)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 32.39/4.99 % (13780)Termination reason: Time limit
% 32.39/4.99 % (13780)Termination phase: Saturation
% 32.39/4.99
% 32.39/4.99 % (13780)Memory used [KB]: 9431
% 32.39/4.99 % (13780)Time elapsed: 0.622 s
% 32.39/4.99 % (13780)Instructions burned: 2664 (million)
% 32.39/5.00 % (13785)First to succeed.
% 32.39/5.02 % (13785)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13677"
% 32.39/5.02 % (13677)Running in auto input_syntax mode. Trying TPTP
% 32.39/5.02 % (13785)Refutation found. Thanks to Tanya!
% 32.39/5.02 % SZS status Theorem for theBenchmark
% 32.39/5.02 % SZS output start Proof for theBenchmark
% 32.39/5.02 tff(type_def_5, type, uni: $tType).
% 32.39/5.02 tff(type_def_6, type, ty: $tType).
% 32.39/5.02 tff(type_def_7, type, bool: $tType).
% 32.39/5.02 tff(type_def_8, type, tuple0: $tType).
% 32.39/5.02 tff(func_def_0, type, witness: ty > uni).
% 32.39/5.02 tff(func_def_1, type, int: ty).
% 32.39/5.02 tff(func_def_2, type, real: ty).
% 32.39/5.02 tff(func_def_3, type, bool1: ty).
% 32.39/5.02 tff(func_def_4, type, true: bool).
% 32.39/5.02 tff(func_def_5, type, false: bool).
% 32.39/5.02 tff(func_def_6, type, match_bool: (ty * bool * uni * uni) > uni).
% 32.39/5.02 tff(func_def_7, type, tuple01: ty).
% 32.39/5.02 tff(func_def_8, type, tuple02: tuple0).
% 32.39/5.02 tff(func_def_9, type, qtmark: ty).
% 32.39/5.02 tff(func_def_12, type, ref: ty > ty).
% 32.39/5.02 tff(func_def_13, type, mk_ref: (ty * uni) > uni).
% 32.39/5.02 tff(func_def_14, type, contents: (ty * uni) > uni).
% 32.39/5.02 tff(func_def_15, type, x2: $int).
% 32.39/5.02 tff(func_def_16, type, y2: $int).
% 32.39/5.02 tff(func_def_17, type, abs: $int > $int).
% 32.39/5.02 tff(func_def_23, type, sK0: $int).
% 32.39/5.02 tff(func_def_24, type, sK1: $int).
% 32.39/5.02 tff(func_def_25, type, sK2: $int).
% 32.39/5.02 tff(func_def_26, type, sK3: ($int * $int) > $int).
% 32.39/5.02 tff(pred_def_1, type, sort: (ty * uni) > $o).
% 32.39/5.02 tff(pred_def_3, type, best: ($int * $int) > $o).
% 32.39/5.02 tff(pred_def_5, type, sQ4_eqProxy: ($int * $int) > $o).
% 32.39/5.02 tff(pred_def_6, type, sQ5_eqProxy: (uni * uni) > $o).
% 32.39/5.02 tff(pred_def_7, type, sQ6_eqProxy: (bool * bool) > $o).
% 32.39/5.02 tff(pred_def_8, type, sQ7_eqProxy: (tuple0 * tuple0) > $o).
% 32.39/5.02 tff(f8136,plain,(
% 32.39/5.02 $false),
% 32.39/5.02 inference(avatar_smt_refutation,[],[f151,f156,f161,f166,f171,f176,f181,f187,f204,f209,f218,f223,f228,f243,f248,f257,f262,f275,f284,f289,f298,f303,f315,f320,f330,f335,f347,f352,f367,f372,f381,f386,f402,f407,f416,f431,f440,f445,f450,f458,f474,f483,f488,f499,f504,f513,f518,f527,f536,f541,f554,f559,f570,f575,f582,f583,f591,f608,f613,f622,f627,f628,f639,f644,f651,f652,f660,f677,f682,f683,f692,f697,f710,f715,f722,f723,f736,f741,f752,f757,f770,f775,f785,f790,f805,f814,f819,f824,f846,f851,f866,f875,f880,f885,f901,f906,f938,f947,f952,f953,f958,f969,f974,f981,f982,f993,f998,f1018,f1026,f1031,f1041,f1046,f1063,f1068,f1077,f1078,f1083,f1094,f1099,f1106,f1107,f1126,f1135,f1140,f1145,f1180,f1185,f1213,f1218,f1233,f1238,f1247,f1252,f1271,f1283,f1288,f1293,f1307,f1312,f1323,f1328,f1340,f1345,f1359,f1364,f1379,f1384,f1397,f1402,f1421,f1426,f1437,f1442,f1457,f1466,f1471,f1476,f1491,f1496,f1501,f1510,f1524,f1529,f1540,f1555,f1560,f1565,f1576,f1581,f1596,f1601,f1606,f1611,f1627,f1636,f1641,f1656,f1661,f1666,f1671,f1682,f1687,f1702,f1707,f1716,f1721,f1733,f1738,f1752,f1757,f1768,f1777,f1786,f1791,f1804,f1809,f1814,f1826,f1831,f1844,f1849,f1854,f1868,f1873,f1886,f1895,f1912,f1917,f1935,f1940,f1945,f1974,f1979,f1984,f1989,f2003,f2027,f2032,f2037,f2042,f2078,f2083,f2097,f2113,f2122,f2127,f2138,f2143,f2161,f2166,f2171,f2176,f2181,f2186,f2191,f2207,f2212,f2221,f2234,f2239,f2249,f2254,f2267,f2276,f2282,f2300,f2305,f2310,f2315,f2320,f2325,f2330,f2344,f2349,f2362,f2367,f2381,f2386,f2397,f2402,f2420,f2425,f2436,f2441,f2467,f2472,f2477,f2482,f2487,f2502,f2507,f2516,f2521,f2541,f2550,f2573,f2578,f2583,f2590,f2595,f2620,f2636,f2642,f2646,f2662,f2677,f2686,f2691,f2696,f2708,f2713,f2717,f2731,f2736,f2751,f2756,f2765,f2770,f2791,f2796,f2801,f2819,f2821,f2826,f2844,f2861,f2870,f2879,f2884,f2910,f2915,f2920,f2925,f2947,f2952,f2964,f2969,f2994,f2999,f3005,f3011,f3016,f3035,f3044,f3055,f3060,f3075,f3084,f3089,f3094,f3105,f3114,f3133,f3138,f3142,f3147,f3148,f3153,f3177,f3178,f3193,f3198,f3203,f3212,f3216,f3228,f3233,f3244,f3249,f3257,f3279,f3310,f3331,f3333,f3351,f3373,f3374,f3389,f3398,f3443,f3448,f3453,f3458,f3473,f3482,f3487,f3492,f3507,f3512,f3517,f3526,f3546,f3573,f3578,f3583,f3588,f3609,f3624,f3629,f3641,f3646,f3670,f3675,f3680,f3685,f3690,f3695,f3700,f3705,f3710,f3715,f3720,f3725,f3730,f3741,f3746,f3761,f3766,f3775,f3780,f3798,f3803,f3827,f3832,f3837,f3842,f3847,f3852,f3857,f3862,f3867,f3872,f3877,f3882,f3887,f3903,f3908,f3917,f3935,f3940,f3945,f3956,f3961,f4024,f4029,f4034,f4039,f4044,f4049,f4054,f4059,f4089,f4126,f4131,f4136,f4141,f4146,f4151,f4172,f4183,f4192,f4201,f4206,f4245,f4250,f4255,f4260,f4265,f4270,f4275,f4335,f4340,f4345,f4350,f4355,f4360,f4365,f4378,f4383,f4394,f4399,f4414,f4419,f4428,f4433,f4445,f4471,f4480,f4489,f4494,f4523,f4528,f4544,f4553,f4558,f4571,f4576,f4587,f4592,f4611,f4616,f4637,f4646,f4651,f4656,f4792,f4797,f4802,f4807,f4812,f4817,f4822,f4827,f4832,f4837,f4870,f4879,f4884,f4892,f4897,f4898,f4902,f4907,f4908,f4913,f4914,f4915,f4916,f4917,f4951,f4960,f4966,f4971,f4980,f4985,f4990,f4995,f5000,f5001,f5006,f5033,f5042,f5078,f5083,f5088,f5093,f5098,f5103,f5108,f5119,f5124,f5174,f5179,f5184,f5189,f5194,f5199,f5200,f5205,f5220,f5225,f5234,f5239,f5251,f5283,f5292,f5297,f5308,f5313,f5324,f5329,f5358,f5363,f5389,f5394,f5405,f5414,f5423,f5428,f5443,f5452,f5457,f5462,f5506,f5511,f5522,f5527,f5542,f5551,f5556,f5561,f5588,f5594,f5600,f5606,f5614,f5616,f5618,f5633,f5638,f5661,f5666,f5675,f5688,f5693,f5704,f5709,f5750,f5755,f5764,f5769,f5774,f5783,f5792,f5796,f5805,f5810,f5811,f5816,f5821,f5826,f5831,f5836,f5847,f5856,f5865,f5870,f5883,f5888,f5929,f5934,f5939,f5944,f5949,f5954,f5965,f5970,f6009,f6010,f6014,f6158,f6163,f6168,f6173,f6178,f6183,f6188,f6193,f6198,f6203,f6208,f6213,f6218,f6223,f6228,f6233,f6238,f6243,f6248,f6253,f6258,f6263,f6268,f6273,f6278,f6283,f6288,f6293,f6298,f6303,f6308,f6313,f6318,f6323,f6328,f6333,f6338,f6343,f6348,f6353,f6358,f6363,f6368,f6373,f6378,f6383,f6388,f6393,f6398,f6403,f6408,f6413,f6418,f6423,f6428,f6433,f6438,f6443,f6448,f6453,f6477,f6482,f6483,f6628,f6633,f6638,f6643,f6648,f6653,f6658,f6663,f6668,f6673,f6678,f6683,f6688,f6693,f6698,f6703,f6708,f6713,f6718,f6723,f6728,f6733,f6738,f6743,f6748,f6753,f6758,f6763,f6768,f6773,f6778,f6783,f6788,f6793,f6798,f6803,f6808,f6813,f6818,f6823,f6828,f6833,f6838,f6843,f6848,f6853,f6858,f6863,f6868,f6873,f6878,f6883,f6888,f6893,f6898,f6903,f6908,f6913,f6918,f6923,f6928,f6950,f6955,f6960,f6969,f7002,f7007,f7016,f7021,f7026,f7031,f7258,f7262,f7289,f7294,f7299,f7304,f7313,f7318,f7331,f7336,f7347,f7352,f7371,f7380,f7389,f7394,f7399,f7404,f7443,f7448,f7457,f7466,f7471,f7476,f7510,f7515,f7568,f7573,f7582,f7587,f7592,f7597,f7656,f7661,f7692,f7697,f7706,f7715,f7720,f7725,f7771,f7804,f7813,f7818,f7823,f7828,f7837,f7888,f7893,f7904,f7909,f7919,f7950,f7955,f7960,f7965,f7970,f7979,f8004,f8010,f8016,f8025,f8043,f8048,f8053,f8062,f8067,f8068,f8091,f8095,f8112,f8114,f8116,f8131,f8133,f8135])).
% 32.39/5.02 tff(f8135,plain,(
% 32.39/5.02 ~spl8_12 | ~spl8_136 | spl8_340),
% 32.39/5.02 inference(avatar_contradiction_clause,[],[f8134])).
% 32.39/5.02 tff(f8134,plain,(
% 32.39/5.02 $false | (~spl8_12 | ~spl8_136 | spl8_340)),
% 32.39/5.02 inference(subsumption_resolution,[],[f8126,f2790])).
% 32.39/5.02 tff(f2790,plain,(
% 32.39/5.02 ~sQ4_eqProxy(sK2,sK0) | spl8_340),
% 32.39/5.02 inference(avatar_component_clause,[],[f2788])).
% 32.39/5.02 tff(f2788,plain,(
% 32.39/5.02 spl8_340 <=> sQ4_eqProxy(sK2,sK0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_340])])).
% 32.39/5.02 tff(f8126,plain,(
% 32.39/5.02 sQ4_eqProxy(sK2,sK0) | (~spl8_12 | ~spl8_136)),
% 32.39/5.02 inference(resolution,[],[f1130,f2648])).
% 32.39/5.02 tff(f2648,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~sQ4_eqProxy(0,X0) | sQ4_eqProxy(sK2,X0)) ) | ~spl8_12),
% 32.39/5.02 inference(resolution,[],[f213,f143])).
% 32.39/5.02 tff(f143,plain,(
% 32.39/5.02 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~sQ4_eqProxy(X0,X1) | ~sQ4_eqProxy(X1,X2) | sQ4_eqProxy(X0,X2)) )),
% 32.39/5.02 inference(equality_proxy_axiom,[],[f105])).
% 32.39/5.02 tff(f105,plain,(
% 32.39/5.02 ! [X0 : $int,X1 : $int] : (sQ4_eqProxy(X0,X1) <=> X0 = X1)),
% 32.39/5.02 introduced(equality_proxy_definition,[new_symbols(naming,[sQ4_eqProxy])])).
% 32.39/5.02 tff(f213,plain,(
% 32.39/5.02 sQ4_eqProxy(sK2,0) | ~spl8_12),
% 32.39/5.02 inference(avatar_component_clause,[],[f211])).
% 32.39/5.02 tff(f211,plain,(
% 32.39/5.02 spl8_12 <=> sQ4_eqProxy(sK2,0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_12])])).
% 32.39/5.02 tff(f1130,plain,(
% 32.39/5.02 sQ4_eqProxy(0,sK0) | ~spl8_136),
% 32.39/5.02 inference(avatar_component_clause,[],[f1128])).
% 32.39/5.02 tff(f1128,plain,(
% 32.39/5.02 spl8_136 <=> sQ4_eqProxy(0,sK0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_136])])).
% 32.39/5.02 tff(f8133,plain,(
% 32.39/5.02 ~spl8_24 | ~spl8_136 | spl8_908),
% 32.39/5.02 inference(avatar_contradiction_clause,[],[f8132])).
% 32.39/5.02 tff(f8132,plain,(
% 32.39/5.02 $false | (~spl8_24 | ~spl8_136 | spl8_908)),
% 32.39/5.02 inference(subsumption_resolution,[],[f8125,f8090])).
% 32.39/5.02 tff(f8090,plain,(
% 32.39/5.02 ~sQ4_eqProxy(x2,sK0) | spl8_908),
% 32.39/5.02 inference(avatar_component_clause,[],[f8088])).
% 32.39/5.02 tff(f8088,plain,(
% 32.39/5.02 spl8_908 <=> sQ4_eqProxy(x2,sK0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_908])])).
% 32.39/5.02 tff(f8125,plain,(
% 32.39/5.02 sQ4_eqProxy(x2,sK0) | (~spl8_24 | ~spl8_136)),
% 32.39/5.02 inference(resolution,[],[f1130,f3160])).
% 32.39/5.02 tff(f3160,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~sQ4_eqProxy(0,X0) | sQ4_eqProxy(x2,X0)) ) | ~spl8_24),
% 32.39/5.02 inference(resolution,[],[f283,f143])).
% 32.39/5.02 tff(f283,plain,(
% 32.39/5.02 sQ4_eqProxy(x2,0) | ~spl8_24),
% 32.39/5.02 inference(avatar_component_clause,[],[f281])).
% 32.39/5.02 tff(f281,plain,(
% 32.39/5.02 spl8_24 <=> sQ4_eqProxy(x2,0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_24])])).
% 32.39/5.02 tff(f8131,plain,(
% 32.39/5.02 spl8_139 | ~spl8_136),
% 32.39/5.02 inference(avatar_split_clause,[],[f8130,f1128,f1142])).
% 32.39/5.02 tff(f1142,plain,(
% 32.39/5.02 spl8_139 <=> sQ4_eqProxy(sK0,0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_139])])).
% 32.39/5.02 tff(f8130,plain,(
% 32.39/5.02 sQ4_eqProxy(sK0,0) | ~spl8_136),
% 32.39/5.02 inference(resolution,[],[f1130,f142])).
% 32.39/5.02 tff(f142,plain,(
% 32.39/5.02 ( ! [X0 : $int,X1 : $int] : (~sQ4_eqProxy(X0,X1) | sQ4_eqProxy(X1,X0)) )),
% 32.39/5.02 inference(equality_proxy_axiom,[],[f105])).
% 32.39/5.02 tff(f8116,plain,(
% 32.39/5.02 spl8_903 | ~spl8_5 | ~spl8_25 | ~spl8_393),
% 32.39/5.02 inference(avatar_split_clause,[],[f8115,f3348,f286,f168,f8050])).
% 32.39/5.02 tff(f8050,plain,(
% 32.39/5.02 spl8_903 <=> sQ4_eqProxy(sK0,abs(x2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_903])])).
% 32.39/5.02 tff(f168,plain,(
% 32.39/5.02 spl8_5 <=> sQ4_eqProxy(sK0,$sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_5])])).
% 32.39/5.02 tff(f286,plain,(
% 32.39/5.02 spl8_25 <=> sQ4_eqProxy(abs(x2),x2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_25])])).
% 32.39/5.02 tff(f3348,plain,(
% 32.39/5.02 spl8_393 <=> sQ4_eqProxy(x2,$sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_393])])).
% 32.39/5.02 tff(f8115,plain,(
% 32.39/5.02 sQ4_eqProxy(sK0,abs(x2)) | (~spl8_5 | ~spl8_25 | ~spl8_393)),
% 32.39/5.02 inference(subsumption_resolution,[],[f8108,f3350])).
% 32.39/5.02 tff(f3350,plain,(
% 32.39/5.02 sQ4_eqProxy(x2,$sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2)))) | ~spl8_393),
% 32.39/5.02 inference(avatar_component_clause,[],[f3348])).
% 32.39/5.02 tff(f8108,plain,(
% 32.39/5.02 ~sQ4_eqProxy(x2,$sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2)))) | sQ4_eqProxy(sK0,abs(x2)) | (~spl8_5 | ~spl8_25)),
% 32.39/5.02 inference(resolution,[],[f1260,f654])).
% 32.39/5.02 tff(f654,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (sQ4_eqProxy(abs(x2),X0) | ~sQ4_eqProxy(x2,X0)) ) | ~spl8_25),
% 32.39/5.02 inference(resolution,[],[f288,f143])).
% 32.39/5.02 tff(f288,plain,(
% 32.39/5.02 sQ4_eqProxy(abs(x2),x2) | ~spl8_25),
% 32.39/5.02 inference(avatar_component_clause,[],[f286])).
% 32.39/5.02 tff(f1260,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~sQ4_eqProxy(X0,$sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2)))) | sQ4_eqProxy(sK0,X0)) ) | ~spl8_5),
% 32.39/5.02 inference(resolution,[],[f452,f142])).
% 32.39/5.02 tff(f452,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~sQ4_eqProxy($sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))),X0) | sQ4_eqProxy(sK0,X0)) ) | ~spl8_5),
% 32.39/5.02 inference(resolution,[],[f170,f143])).
% 32.39/5.02 tff(f170,plain,(
% 32.39/5.02 sQ4_eqProxy(sK0,$sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2)))) | ~spl8_5),
% 32.39/5.02 inference(avatar_component_clause,[],[f168])).
% 32.39/5.02 tff(f8114,plain,(
% 32.39/5.02 spl8_906 | ~spl8_5 | ~spl8_11 | ~spl8_345),
% 32.39/5.02 inference(avatar_split_clause,[],[f8113,f2841,f206,f168,f8064])).
% 32.39/5.02 tff(f8064,plain,(
% 32.39/5.02 spl8_906 <=> sQ4_eqProxy(sK0,abs(sK2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_906])])).
% 32.39/5.02 tff(f206,plain,(
% 32.39/5.02 spl8_11 <=> sQ4_eqProxy(abs(sK2),sK2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_11])])).
% 32.39/5.02 tff(f2841,plain,(
% 32.39/5.02 spl8_345 <=> sQ4_eqProxy(sK2,$sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_345])])).
% 32.39/5.02 tff(f8113,plain,(
% 32.39/5.02 sQ4_eqProxy(sK0,abs(sK2)) | (~spl8_5 | ~spl8_11 | ~spl8_345)),
% 32.39/5.02 inference(subsumption_resolution,[],[f8107,f2843])).
% 32.39/5.02 tff(f2843,plain,(
% 32.39/5.02 sQ4_eqProxy(sK2,$sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2)))) | ~spl8_345),
% 32.39/5.02 inference(avatar_component_clause,[],[f2841])).
% 32.39/5.02 tff(f8107,plain,(
% 32.39/5.02 ~sQ4_eqProxy(sK2,$sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2)))) | sQ4_eqProxy(sK0,abs(sK2)) | (~spl8_5 | ~spl8_11)),
% 32.39/5.02 inference(resolution,[],[f1260,f585])).
% 32.39/5.02 tff(f585,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (sQ4_eqProxy(abs(sK2),X0) | ~sQ4_eqProxy(sK2,X0)) ) | ~spl8_11),
% 32.39/5.02 inference(resolution,[],[f208,f143])).
% 32.39/5.02 tff(f208,plain,(
% 32.39/5.02 sQ4_eqProxy(abs(sK2),sK2) | ~spl8_11),
% 32.39/5.02 inference(avatar_component_clause,[],[f206])).
% 32.39/5.02 tff(f8112,plain,(
% 32.39/5.02 spl8_896 | spl8_139 | ~spl8_5),
% 32.39/5.02 inference(avatar_split_clause,[],[f8105,f168,f1142,f8002])).
% 32.39/5.02 tff(f8002,plain,(
% 32.39/5.02 spl8_896 <=> ! [X0 : $int,X1 : $int] : (sQ4_eqProxy(X0,X1) | ~sQ4_eqProxy($product($sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))),X0),$product($sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))),X1)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_896])])).
% 32.39/5.02 tff(f8105,plain,(
% 32.39/5.02 ( ! [X0 : $int,X1 : $int] : (sQ4_eqProxy(sK0,0) | ~sQ4_eqProxy($product($sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))),X0),$product($sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))),X1)) | sQ4_eqProxy(X0,X1)) ) | ~spl8_5),
% 32.39/5.02 inference(resolution,[],[f1260,f131])).
% 32.39/5.02 tff(f131,plain,(
% 32.39/5.02 ( ! [X2 : $int,X3 : $int,X0 : $int] : (sQ4_eqProxy(X2,X3) | ~sQ4_eqProxy($product(X0,X2),$product(X0,X3)) | sQ4_eqProxy(0,X0)) )),
% 32.39/5.02 inference(equality_proxy_replacement,[],[f104,f105,f105,f105])).
% 32.39/5.02 tff(f104,plain,(
% 32.39/5.02 ( ! [X2 : $int,X3 : $int,X0 : $int] : (0 = X0 | X2 = X3 | $product(X0,X2) != $product(X0,X3)) )),
% 32.39/5.02 inference(equality_resolution,[],[f45])).
% 32.39/5.02 tff(f45,plain,(
% 32.39/5.02 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : (0 = X0 | X2 = X3 | $product(X0,X2) != X1 | $product(X0,X3) != X1) )),
% 32.39/5.02 introduced(theory_axiom_159,[])).
% 32.39/5.02 tff(f8095,plain,(
% 32.39/5.02 spl8_905 | spl8_909 | ~spl8_5),
% 32.39/5.02 inference(avatar_split_clause,[],[f8077,f168,f8093,f8059])).
% 32.39/5.02 tff(f8059,plain,(
% 32.39/5.02 spl8_905 <=> sQ4_eqProxy($sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))),0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_905])])).
% 32.39/5.02 tff(f8093,plain,(
% 32.39/5.02 spl8_909 <=> ! [X0 : $int,X1 : $int] : (~sQ4_eqProxy($product(sK0,X0),$product(sK0,X1)) | sQ4_eqProxy(X0,X1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_909])])).
% 32.39/5.02 tff(f8077,plain,(
% 32.39/5.02 ( ! [X0 : $int,X1 : $int] : (~sQ4_eqProxy($product(sK0,X0),$product(sK0,X1)) | sQ4_eqProxy(X0,X1) | sQ4_eqProxy($sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))),0)) ) | ~spl8_5),
% 32.39/5.02 inference(resolution,[],[f1255,f131])).
% 32.39/5.02 tff(f1255,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~sQ4_eqProxy(X0,sK0) | sQ4_eqProxy($sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))),X0)) ) | ~spl8_5),
% 32.39/5.02 inference(resolution,[],[f451,f142])).
% 32.39/5.02 tff(f451,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (sQ4_eqProxy(X0,$sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2)))) | ~sQ4_eqProxy(X0,sK0)) ) | ~spl8_5),
% 32.39/5.02 inference(resolution,[],[f170,f143])).
% 32.39/5.02 tff(f8091,plain,(
% 32.39/5.02 spl8_907 | ~spl8_908 | ~spl8_5 | ~spl8_25),
% 32.39/5.02 inference(avatar_split_clause,[],[f8080,f286,f168,f8088,f8084])).
% 32.39/5.02 tff(f8084,plain,(
% 32.39/5.02 spl8_907 <=> sQ4_eqProxy($sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))),abs(x2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_907])])).
% 32.39/5.02 tff(f8080,plain,(
% 32.39/5.02 sQ4_eqProxy($sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))),abs(x2)) | ~sQ4_eqProxy(x2,sK0) | (~spl8_5 | ~spl8_25)),
% 32.39/5.02 inference(resolution,[],[f1255,f654])).
% 32.39/5.02 tff(f8068,plain,(
% 32.39/5.02 spl8_901 | ~spl8_904 | ~spl8_18 | ~spl8_52),
% 32.39/5.02 inference(avatar_split_clause,[],[f8033,f455,f245,f8055,f8040])).
% 32.39/5.02 tff(f8040,plain,(
% 32.39/5.02 spl8_901 <=> sQ4_eqProxy($sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))),sK2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_901])])).
% 32.39/5.02 tff(f8055,plain,(
% 32.39/5.02 spl8_904 <=> sQ4_eqProxy(sK0,x2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_904])])).
% 32.39/5.02 tff(f245,plain,(
% 32.39/5.02 spl8_18 <=> sQ4_eqProxy(x2,sK2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_18])])).
% 32.39/5.02 tff(f455,plain,(
% 32.39/5.02 spl8_52 <=> sQ4_eqProxy($sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))),sK0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_52])])).
% 32.39/5.02 tff(f8033,plain,(
% 32.39/5.02 ~sQ4_eqProxy(sK0,x2) | sQ4_eqProxy($sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))),sK2) | (~spl8_18 | ~spl8_52)),
% 32.39/5.02 inference(resolution,[],[f1220,f3155])).
% 32.39/5.02 tff(f3155,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~sQ4_eqProxy(X0,x2) | sQ4_eqProxy(X0,sK2)) ) | ~spl8_18),
% 32.39/5.02 inference(resolution,[],[f247,f143])).
% 32.39/5.02 tff(f247,plain,(
% 32.39/5.02 sQ4_eqProxy(x2,sK2) | ~spl8_18),
% 32.39/5.02 inference(avatar_component_clause,[],[f245])).
% 32.39/5.02 tff(f1220,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (sQ4_eqProxy($sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))),X0) | ~sQ4_eqProxy(sK0,X0)) ) | ~spl8_52),
% 32.39/5.02 inference(resolution,[],[f457,f143])).
% 32.39/5.02 tff(f457,plain,(
% 32.39/5.02 sQ4_eqProxy($sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))),sK0) | ~spl8_52),
% 32.39/5.02 inference(avatar_component_clause,[],[f455])).
% 32.39/5.02 tff(f8067,plain,(
% 32.39/5.02 ~spl8_906 | spl8_901 | ~spl8_11 | ~spl8_52),
% 32.39/5.02 inference(avatar_split_clause,[],[f8034,f455,f206,f8040,f8064])).
% 32.39/5.02 tff(f8034,plain,(
% 32.39/5.02 sQ4_eqProxy($sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))),sK2) | ~sQ4_eqProxy(sK0,abs(sK2)) | (~spl8_11 | ~spl8_52)),
% 32.39/5.02 inference(resolution,[],[f1220,f584])).
% 32.39/5.02 tff(f584,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~sQ4_eqProxy(X0,abs(sK2)) | sQ4_eqProxy(X0,sK2)) ) | ~spl8_11),
% 32.39/5.02 inference(resolution,[],[f208,f143])).
% 32.39/5.02 tff(f8062,plain,(
% 32.39/5.02 ~spl8_904 | spl8_905 | ~spl8_24 | ~spl8_52),
% 32.39/5.02 inference(avatar_split_clause,[],[f8032,f455,f281,f8059,f8055])).
% 32.39/5.02 tff(f8032,plain,(
% 32.39/5.02 sQ4_eqProxy($sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))),0) | ~sQ4_eqProxy(sK0,x2) | (~spl8_24 | ~spl8_52)),
% 32.39/5.02 inference(resolution,[],[f1220,f3159])).
% 32.39/5.02 tff(f3159,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~sQ4_eqProxy(X0,x2) | sQ4_eqProxy(X0,0)) ) | ~spl8_24),
% 32.39/5.02 inference(resolution,[],[f283,f143])).
% 32.39/5.02 tff(f8053,plain,(
% 32.39/5.02 ~spl8_903 | spl8_902 | ~spl8_25 | ~spl8_52),
% 32.39/5.02 inference(avatar_split_clause,[],[f8035,f455,f286,f8045,f8050])).
% 32.39/5.02 tff(f8045,plain,(
% 32.39/5.02 spl8_902 <=> sQ4_eqProxy($sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))),x2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_902])])).
% 32.39/5.02 tff(f8035,plain,(
% 32.39/5.02 sQ4_eqProxy($sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))),x2) | ~sQ4_eqProxy(sK0,abs(x2)) | (~spl8_25 | ~spl8_52)),
% 32.39/5.02 inference(resolution,[],[f1220,f653])).
% 32.39/5.02 tff(f653,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~sQ4_eqProxy(X0,abs(x2)) | sQ4_eqProxy(X0,x2)) ) | ~spl8_25),
% 32.39/5.02 inference(resolution,[],[f288,f143])).
% 32.39/5.02 tff(f8048,plain,(
% 32.39/5.02 spl8_902 | ~spl8_139 | ~spl8_28 | ~spl8_52),
% 32.39/5.02 inference(avatar_split_clause,[],[f8030,f455,f300,f1142,f8045])).
% 32.39/5.02 tff(f300,plain,(
% 32.39/5.02 spl8_28 <=> sQ4_eqProxy(0,x2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_28])])).
% 32.39/5.02 tff(f8030,plain,(
% 32.39/5.02 ~sQ4_eqProxy(sK0,0) | sQ4_eqProxy($sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))),x2) | (~spl8_28 | ~spl8_52)),
% 32.39/5.02 inference(resolution,[],[f1220,f3144])).
% 32.39/5.02 tff(f3144,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~sQ4_eqProxy(X0,0) | sQ4_eqProxy(X0,x2)) ) | ~spl8_28),
% 32.39/5.02 inference(resolution,[],[f302,f143])).
% 32.39/5.02 tff(f302,plain,(
% 32.39/5.02 sQ4_eqProxy(0,x2) | ~spl8_28),
% 32.39/5.02 inference(avatar_component_clause,[],[f300])).
% 32.39/5.02 tff(f8043,plain,(
% 32.39/5.02 spl8_901 | ~spl8_139 | ~spl8_14 | ~spl8_52),
% 32.39/5.02 inference(avatar_split_clause,[],[f8031,f455,f220,f1142,f8040])).
% 32.39/5.02 tff(f220,plain,(
% 32.39/5.02 spl8_14 <=> sQ4_eqProxy(0,sK2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_14])])).
% 32.39/5.02 tff(f8031,plain,(
% 32.39/5.02 sQ4_eqProxy($sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))),sK2) | ~sQ4_eqProxy(sK0,0) | (~spl8_14 | ~spl8_52)),
% 32.39/5.02 inference(resolution,[],[f1220,f2643])).
% 32.39/5.02 tff(f2643,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~sQ4_eqProxy(X0,0) | sQ4_eqProxy(X0,sK2)) ) | ~spl8_14),
% 32.39/5.02 inference(resolution,[],[f222,f143])).
% 32.39/5.02 tff(f222,plain,(
% 32.39/5.02 sQ4_eqProxy(0,sK2) | ~spl8_14),
% 32.39/5.02 inference(avatar_component_clause,[],[f220])).
% 32.39/5.02 tff(f8025,plain,(
% 32.39/5.02 spl8_899 | spl8_900 | ~spl8_52),
% 32.39/5.02 inference(avatar_split_clause,[],[f7996,f455,f8022,f8018])).
% 32.39/5.02 tff(f8018,plain,(
% 32.39/5.02 spl8_899 <=> $less($sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))),0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_899])])).
% 32.39/5.02 tff(f8022,plain,(
% 32.39/5.02 spl8_900 <=> sQ4_eqProxy(abs($sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2)))),sK0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_900])])).
% 32.39/5.02 tff(f7996,plain,(
% 32.39/5.02 sQ4_eqProxy(abs($sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2)))),sK0) | $less($sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))),0) | ~spl8_52),
% 32.39/5.02 inference(resolution,[],[f1219,f127])).
% 32.39/5.02 tff(f127,plain,(
% 32.39/5.02 ( ! [X0 : $int] : ($less(X0,0) | sQ4_eqProxy(abs(X0),X0)) )),
% 32.39/5.02 inference(equality_proxy_replacement,[],[f100,f105])).
% 32.39/5.02 tff(f100,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (abs(X0) = X0 | $less(X0,0)) )),
% 32.39/5.02 inference(cnf_transformation,[],[f72])).
% 32.39/5.02 tff(f72,plain,(
% 32.39/5.02 ! [X0 : $int] : (($uminus(X0) = abs(X0) | ~$less(X0,0)) & ($less(X0,0) | abs(X0) = X0))),
% 32.39/5.02 inference(ennf_transformation,[],[f47])).
% 32.39/5.02 tff(f47,plain,(
% 32.39/5.02 ! [X0 : $int] : (($less(X0,0) => $uminus(X0) = abs(X0)) & (~$less(X0,0) => abs(X0) = X0))),
% 32.39/5.02 inference(rectify,[],[f21])).
% 32.39/5.02 tff(f21,plain,(
% 32.39/5.02 ! [X1 : $int] : ((~$less(X1,0) => abs(X1) = X1) & ($less(X1,0) => abs(X1) = $uminus(X1)))),
% 32.39/5.02 inference(theory_normalization,[],[f14])).
% 32.39/5.02 tff(f14,axiom,(
% 32.39/5.02 ! [X1 : $int] : (($lesseq(0,X1) => abs(X1) = X1) & (~$lesseq(0,X1) => abs(X1) = $uminus(X1)))),
% 32.39/5.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
% 32.39/5.02 tff(f1219,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~sQ4_eqProxy(X0,$sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2)))) | sQ4_eqProxy(X0,sK0)) ) | ~spl8_52),
% 32.39/5.02 inference(resolution,[],[f457,f143])).
% 32.39/5.02 tff(f8016,plain,(
% 32.39/5.02 spl8_898 | ~spl8_11 | ~spl8_52 | ~spl8_345),
% 32.39/5.02 inference(avatar_split_clause,[],[f8011,f2841,f455,f206,f8013])).
% 32.39/5.02 tff(f8013,plain,(
% 32.39/5.02 spl8_898 <=> sQ4_eqProxy(abs(sK2),sK0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_898])])).
% 32.39/5.02 tff(f8011,plain,(
% 32.39/5.02 sQ4_eqProxy(abs(sK2),sK0) | (~spl8_11 | ~spl8_52 | ~spl8_345)),
% 32.39/5.02 inference(subsumption_resolution,[],[f7997,f2843])).
% 32.39/5.02 tff(f7997,plain,(
% 32.39/5.02 ~sQ4_eqProxy(sK2,$sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2)))) | sQ4_eqProxy(abs(sK2),sK0) | (~spl8_11 | ~spl8_52)),
% 32.39/5.02 inference(resolution,[],[f1219,f585])).
% 32.39/5.02 tff(f8010,plain,(
% 32.39/5.02 spl8_897 | ~spl8_25 | ~spl8_52 | ~spl8_393),
% 32.39/5.02 inference(avatar_split_clause,[],[f8005,f3348,f455,f286,f8007])).
% 32.39/5.02 tff(f8007,plain,(
% 32.39/5.02 spl8_897 <=> sQ4_eqProxy(abs(x2),sK0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_897])])).
% 32.39/5.02 tff(f8005,plain,(
% 32.39/5.02 sQ4_eqProxy(abs(x2),sK0) | (~spl8_25 | ~spl8_52 | ~spl8_393)),
% 32.39/5.02 inference(subsumption_resolution,[],[f7998,f3350])).
% 32.39/5.02 tff(f7998,plain,(
% 32.39/5.02 ~sQ4_eqProxy(x2,$sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2)))) | sQ4_eqProxy(abs(x2),sK0) | (~spl8_25 | ~spl8_52)),
% 32.39/5.02 inference(resolution,[],[f1219,f654])).
% 32.39/5.02 tff(f8004,plain,(
% 32.39/5.02 spl8_136 | spl8_896 | ~spl8_52),
% 32.39/5.02 inference(avatar_split_clause,[],[f7995,f455,f8002,f1128])).
% 32.39/5.02 tff(f7995,plain,(
% 32.39/5.02 ( ! [X0 : $int,X1 : $int] : (sQ4_eqProxy(0,sK0) | sQ4_eqProxy(X0,X1) | ~sQ4_eqProxy($product($sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))),X0),$product($sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))),X1))) ) | ~spl8_52),
% 32.39/5.02 inference(resolution,[],[f1219,f131])).
% 32.39/5.02 tff(f7979,plain,(
% 32.39/5.02 spl8_894 | ~spl8_895 | spl8_884),
% 32.39/5.02 inference(avatar_split_clause,[],[f7936,f7890,f7976,f7972])).
% 32.39/5.02 tff(f7972,plain,(
% 32.39/5.02 spl8_894 <=> $less(17,$uminus(sK2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_894])])).
% 32.39/5.02 tff(f7976,plain,(
% 32.39/5.02 spl8_895 <=> $less(sK2,abs(17))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_895])])).
% 32.39/5.02 tff(f7890,plain,(
% 32.39/5.02 spl8_884 <=> $less(sK2,17)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_884])])).
% 32.39/5.02 tff(f7936,plain,(
% 32.39/5.02 $less(17,$uminus(sK2)) | ~$less(sK2,abs(17)) | spl8_884),
% 32.39/5.02 inference(resolution,[],[f7892,f89])).
% 32.39/5.02 tff(f89,plain,(
% 32.39/5.02 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$uminus(X0)) | ~$less(X0,abs(X1))) )),
% 32.39/5.02 inference(cnf_transformation,[],[f62])).
% 32.39/5.02 tff(f62,plain,(
% 32.39/5.02 ! [X0 : $int,X1 : $int] : (~$less(X0,abs(X1)) <=> (~$less(X1,$uminus(X0)) & ~$less(X0,X1)))),
% 32.39/5.02 inference(rectify,[],[f28])).
% 32.39/5.02 tff(f28,plain,(
% 32.39/5.02 ! [X7 : $int,X1 : $int] : (~$less(X7,abs(X1)) <=> (~$less(X1,$uminus(X7)) & ~$less(X7,X1)))),
% 32.39/5.02 inference(theory_normalization,[],[f15])).
% 32.39/5.02 tff(f15,axiom,(
% 32.39/5.02 ! [X7 : $int,X1 : $int] : ($lesseq(abs(X1),X7) <=> ($lesseq($uminus(X7),X1) & $lesseq(X1,X7)))),
% 32.39/5.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
% 32.39/5.02 tff(f7892,plain,(
% 32.39/5.02 ~$less(sK2,17) | spl8_884),
% 32.39/5.02 inference(avatar_component_clause,[],[f7890])).
% 32.39/5.02 tff(f7970,plain,(
% 32.39/5.02 spl8_893 | spl8_884),
% 32.39/5.02 inference(avatar_split_clause,[],[f7935,f7890,f7967])).
% 32.39/5.02 tff(f7967,plain,(
% 32.39/5.02 spl8_893 <=> $less(17,$sum(sK2,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_893])])).
% 32.39/5.02 tff(f7935,plain,(
% 32.39/5.02 $less(17,$sum(sK2,1)) | spl8_884),
% 32.39/5.02 inference(resolution,[],[f7892,f38])).
% 32.39/5.02 tff(f38,plain,(
% 32.39/5.02 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )),
% 32.39/5.02 introduced(theory_axiom_155,[])).
% 32.39/5.02 tff(f7965,plain,(
% 32.39/5.02 spl8_892 | spl8_2 | spl8_884),
% 32.39/5.02 inference(avatar_split_clause,[],[f7940,f7890,f153,f7962])).
% 32.39/5.02 tff(f7962,plain,(
% 32.39/5.02 spl8_892 <=> $less($product(17,sK2),$sum($product(sK2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_892])])).
% 32.39/5.02 tff(f153,plain,(
% 32.39/5.02 spl8_2 <=> $less(sK2,0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_2])])).
% 32.39/5.02 tff(f7940,plain,(
% 32.39/5.02 $less($product(17,sK2),$sum($product(sK2,sK2),1)) | (spl8_2 | spl8_884)),
% 32.39/5.02 inference(resolution,[],[f7892,f1109])).
% 32.39/5.02 tff(f1109,plain,(
% 32.39/5.02 ( ! [X0 : $int,X1 : $int] : ($less($product(X1,sK2),$sum($product(X0,sK2),1)) | $less(X0,X1)) ) | spl8_2),
% 32.39/5.02 inference(resolution,[],[f189,f38])).
% 32.39/5.02 tff(f189,plain,(
% 32.39/5.02 ( ! [X0 : $int,X1 : $int] : (~$less($product(X0,sK2),$product(X1,sK2)) | $less(X0,X1)) ) | spl8_2),
% 32.39/5.02 inference(resolution,[],[f155,f93])).
% 32.39/5.02 tff(f93,plain,(
% 32.39/5.02 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X1,0) | ~$less($product(X0,X1),$product(X2,X1)) | $less(X0,X2)) )),
% 32.39/5.02 inference(cnf_transformation,[],[f67])).
% 32.39/5.02 tff(f67,plain,(
% 32.39/5.02 ! [X2 : $int,X1 : $int,X0 : $int] : (~$less($product(X0,X1),$product(X2,X1)) | $less(X1,0) | $less(X0,X2))),
% 32.39/5.02 inference(flattening,[],[f66])).
% 32.39/5.02 tff(f66,plain,(
% 32.39/5.02 ! [X1 : $int,X0 : $int,X2 : $int] : ((~$less($product(X0,X1),$product(X2,X1)) | $less(X1,0)) | $less(X0,X2))),
% 32.39/5.02 inference(ennf_transformation,[],[f60])).
% 32.39/5.02 tff(f60,plain,(
% 32.39/5.02 ! [X1 : $int,X0 : $int,X2 : $int] : (~$less(X0,X2) => (~$less(X1,0) => ~$less($product(X0,X1),$product(X2,X1))))),
% 32.39/5.02 inference(rectify,[],[f27])).
% 32.39/5.02 tff(f27,plain,(
% 32.39/5.02 ! [X7 : $int,X4 : $int,X1 : $int] : (~$less(X7,X1) => (~$less(X4,0) => ~$less($product(X7,X4),$product(X1,X4))))),
% 32.39/5.02 inference(theory_normalization,[],[f8])).
% 32.39/5.02 tff(f8,axiom,(
% 32.39/5.02 ! [X7 : $int,X4 : $int,X1 : $int] : ($lesseq(X1,X7) => ($lesseq(0,X4) => $lesseq($product(X1,X4),$product(X7,X4))))),
% 32.39/5.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
% 32.39/5.02 tff(f155,plain,(
% 32.39/5.02 ~$less(sK2,0) | spl8_2),
% 32.39/5.02 inference(avatar_component_clause,[],[f153])).
% 32.39/5.02 tff(f7960,plain,(
% 32.39/5.02 spl8_891 | spl8_888 | spl8_884),
% 32.39/5.02 inference(avatar_split_clause,[],[f7939,f7890,f7943,f7957])).
% 32.39/5.02 tff(f7957,plain,(
% 32.39/5.02 spl8_891 <=> sQ4_eqProxy(17,sK2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_891])])).
% 32.39/5.02 tff(f7943,plain,(
% 32.39/5.02 spl8_888 <=> $less(17,sK2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_888])])).
% 32.39/5.02 tff(f7939,plain,(
% 32.39/5.02 sQ4_eqProxy(17,sK2) | $less(17,sK2) | spl8_884),
% 32.39/5.02 inference(resolution,[],[f7892,f124])).
% 32.39/5.02 tff(f124,plain,(
% 32.39/5.02 ( ! [X0 : $int,X1 : $int] : (sQ4_eqProxy(X0,X1) | $less(X0,X1) | $less(X1,X0)) )),
% 32.39/5.02 inference(equality_proxy_replacement,[],[f36,f105])).
% 32.39/5.02 tff(f36,plain,(
% 32.39/5.02 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 32.39/5.02 introduced(theory_axiom_152,[])).
% 32.39/5.02 tff(f7955,plain,(
% 32.39/5.02 spl8_890 | spl8_6 | spl8_884),
% 32.39/5.02 inference(avatar_split_clause,[],[f7941,f7890,f173,f7952])).
% 32.39/5.02 tff(f7952,plain,(
% 32.39/5.02 spl8_890 <=> $less($product(17,x2),$sum($product(sK2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_890])])).
% 32.39/5.02 tff(f173,plain,(
% 32.39/5.02 spl8_6 <=> $less(x2,0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_6])])).
% 32.39/5.02 tff(f7941,plain,(
% 32.39/5.02 $less($product(17,x2),$sum($product(sK2,x2),1)) | (spl8_6 | spl8_884)),
% 32.39/5.02 inference(resolution,[],[f7892,f1159])).
% 32.39/5.02 tff(f1159,plain,(
% 32.39/5.02 ( ! [X0 : $int,X1 : $int] : ($less($product(X1,x2),$sum($product(X0,x2),1)) | $less(X0,X1)) ) | spl8_6),
% 32.39/5.02 inference(resolution,[],[f264,f38])).
% 32.39/5.02 tff(f264,plain,(
% 32.39/5.02 ( ! [X0 : $int,X1 : $int] : (~$less($product(X0,x2),$product(X1,x2)) | $less(X0,X1)) ) | spl8_6),
% 32.39/5.02 inference(resolution,[],[f175,f93])).
% 32.39/5.02 tff(f175,plain,(
% 32.39/5.02 ~$less(x2,0) | spl8_6),
% 32.39/5.02 inference(avatar_component_clause,[],[f173])).
% 32.39/5.02 tff(f7950,plain,(
% 32.39/5.02 spl8_888 | spl8_889 | spl8_884),
% 32.39/5.02 inference(avatar_split_clause,[],[f7938,f7890,f7947,f7943])).
% 32.39/5.02 tff(f7947,plain,(
% 32.39/5.02 spl8_889 <=> sQ4_eqProxy(sK2,17)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_889])])).
% 32.39/5.02 tff(f7938,plain,(
% 32.39/5.02 sQ4_eqProxy(sK2,17) | $less(17,sK2) | spl8_884),
% 32.39/5.02 inference(resolution,[],[f7892,f124])).
% 32.39/5.02 tff(f7919,plain,(
% 32.39/5.02 ~spl8_887 | ~spl8_146),
% 32.39/5.02 inference(avatar_split_clause,[],[f7911,f1240,f7916])).
% 32.39/5.02 tff(f7916,plain,(
% 32.39/5.02 spl8_887 <=> $less($sum($product(x2,sK1),$uminus($product(sK2,y2))),$sum(abs($sum($product(x2,sK3(sK2,sK1)),$uminus($product(sK2,y2)))),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_887])])).
% 32.39/5.02 tff(f1240,plain,(
% 32.39/5.02 spl8_146 <=> $less(abs($sum($product(x2,sK3(sK2,sK1)),$uminus($product(sK2,y2)))),$sum($product(x2,sK1),$uminus($product(sK2,y2))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_146])])).
% 32.39/5.02 tff(f7911,plain,(
% 32.39/5.02 ~$less($sum($product(x2,sK1),$uminus($product(sK2,y2))),$sum(abs($sum($product(x2,sK3(sK2,sK1)),$uminus($product(sK2,y2)))),1)) | ~spl8_146),
% 32.39/5.02 inference(resolution,[],[f1242,f46])).
% 32.39/5.02 tff(f46,plain,(
% 32.39/5.02 ( ! [X0 : $int,X1 : $int] : (~$less(X1,$sum(X0,1)) | ~$less(X0,X1)) )),
% 32.39/5.02 introduced(theory_axiom_169,[])).
% 32.39/5.02 tff(f1242,plain,(
% 32.39/5.02 $less(abs($sum($product(x2,sK3(sK2,sK1)),$uminus($product(sK2,y2)))),$sum($product(x2,sK1),$uminus($product(sK2,y2)))) | ~spl8_146),
% 32.39/5.02 inference(avatar_component_clause,[],[f1240])).
% 32.39/5.02 tff(f7909,plain,(
% 32.39/5.02 ~spl8_886 | ~spl8_877),
% 32.39/5.02 inference(avatar_split_clause,[],[f7899,f7810,f7906])).
% 32.39/5.02 tff(f7906,plain,(
% 32.39/5.02 spl8_886 <=> $less(x2,17)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_886])])).
% 32.39/5.02 tff(f7810,plain,(
% 32.39/5.02 spl8_877 <=> $less(16,x2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_877])])).
% 32.39/5.02 tff(f7899,plain,(
% 32.39/5.02 ~$less(x2,17) | ~spl8_877),
% 32.39/5.02 inference(evaluation,[],[f7895])).
% 32.39/5.02 tff(f7895,plain,(
% 32.39/5.02 ~$less(x2,$sum(16,1)) | ~spl8_877),
% 32.39/5.02 inference(resolution,[],[f7812,f46])).
% 32.39/5.02 tff(f7812,plain,(
% 32.39/5.02 $less(16,x2) | ~spl8_877),
% 32.39/5.02 inference(avatar_component_clause,[],[f7810])).
% 32.39/5.02 tff(f7904,plain,(
% 32.39/5.02 spl8_885 | ~spl8_877),
% 32.39/5.02 inference(avatar_split_clause,[],[f7894,f7810,f7901])).
% 32.39/5.02 tff(f7901,plain,(
% 32.39/5.02 spl8_885 <=> $less(16,abs(x2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_885])])).
% 32.39/5.02 tff(f7894,plain,(
% 32.39/5.02 $less(16,abs(x2)) | ~spl8_877),
% 32.39/5.02 inference(resolution,[],[f7812,f87])).
% 32.39/5.02 tff(f87,plain,(
% 32.39/5.02 ( ! [X0 : $int,X1 : $int] : ($less(X0,abs(X1)) | ~$less(X0,X1)) )),
% 32.39/5.02 inference(cnf_transformation,[],[f62])).
% 32.39/5.02 tff(f7893,plain,(
% 32.39/5.02 ~spl8_884 | ~spl8_871),
% 32.39/5.02 inference(avatar_split_clause,[],[f7883,f7712,f7890])).
% 32.39/5.02 tff(f7712,plain,(
% 32.39/5.02 spl8_871 <=> $less(16,sK2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_871])])).
% 32.39/5.02 tff(f7883,plain,(
% 32.39/5.02 ~$less(sK2,17) | ~spl8_871),
% 32.39/5.02 inference(evaluation,[],[f7879])).
% 32.39/5.02 tff(f7879,plain,(
% 32.39/5.02 ~$less(sK2,$sum(16,1)) | ~spl8_871),
% 32.39/5.02 inference(resolution,[],[f7714,f46])).
% 32.39/5.02 tff(f7714,plain,(
% 32.39/5.02 $less(16,sK2) | ~spl8_871),
% 32.39/5.02 inference(avatar_component_clause,[],[f7712])).
% 32.39/5.02 tff(f7888,plain,(
% 32.39/5.02 spl8_883 | ~spl8_871),
% 32.39/5.02 inference(avatar_split_clause,[],[f7878,f7712,f7885])).
% 32.39/5.02 tff(f7885,plain,(
% 32.39/5.02 spl8_883 <=> $less(16,abs(sK2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_883])])).
% 32.39/5.02 tff(f7878,plain,(
% 32.39/5.02 $less(16,abs(sK2)) | ~spl8_871),
% 32.39/5.02 inference(resolution,[],[f7714,f87])).
% 32.39/5.02 tff(f7837,plain,(
% 32.39/5.02 spl8_881 | ~spl8_882 | spl8_865),
% 32.39/5.02 inference(avatar_split_clause,[],[f7794,f7658,f7834,f7830])).
% 32.39/5.02 tff(f7830,plain,(
% 32.39/5.02 spl8_881 <=> $less(16,$uminus(x2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_881])])).
% 32.39/5.02 tff(f7834,plain,(
% 32.39/5.02 spl8_882 <=> $less(x2,abs(16))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_882])])).
% 32.39/5.02 tff(f7658,plain,(
% 32.39/5.02 spl8_865 <=> $less(x2,16)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_865])])).
% 32.39/5.02 tff(f7794,plain,(
% 32.39/5.02 ~$less(x2,abs(16)) | $less(16,$uminus(x2)) | spl8_865),
% 32.39/5.02 inference(resolution,[],[f7660,f89])).
% 32.39/5.02 tff(f7660,plain,(
% 32.39/5.02 ~$less(x2,16) | spl8_865),
% 32.39/5.02 inference(avatar_component_clause,[],[f7658])).
% 32.39/5.02 tff(f7828,plain,(
% 32.39/5.02 spl8_880 | spl8_877 | spl8_865),
% 32.39/5.02 inference(avatar_split_clause,[],[f7797,f7658,f7810,f7825])).
% 32.39/5.02 tff(f7825,plain,(
% 32.39/5.02 spl8_880 <=> sQ4_eqProxy(16,x2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_880])])).
% 32.39/5.02 tff(f7797,plain,(
% 32.39/5.02 $less(16,x2) | sQ4_eqProxy(16,x2) | spl8_865),
% 32.39/5.02 inference(resolution,[],[f7660,f124])).
% 32.39/5.02 tff(f7823,plain,(
% 32.39/5.02 spl8_879 | spl8_6 | spl8_865),
% 32.39/5.02 inference(avatar_split_clause,[],[f7799,f7658,f173,f7820])).
% 32.39/5.02 tff(f7820,plain,(
% 32.39/5.02 spl8_879 <=> $less($product(16,x2),$sum($product(x2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_879])])).
% 32.39/5.02 tff(f7799,plain,(
% 32.39/5.02 $less($product(16,x2),$sum($product(x2,x2),1)) | (spl8_6 | spl8_865)),
% 32.39/5.02 inference(resolution,[],[f7660,f1159])).
% 32.39/5.02 tff(f7818,plain,(
% 32.39/5.02 spl8_878 | spl8_865),
% 32.39/5.02 inference(avatar_split_clause,[],[f7793,f7658,f7815])).
% 32.39/5.02 tff(f7815,plain,(
% 32.39/5.02 spl8_878 <=> $less(16,$sum(x2,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_878])])).
% 32.39/5.02 tff(f7793,plain,(
% 32.39/5.02 $less(16,$sum(x2,1)) | spl8_865),
% 32.39/5.02 inference(resolution,[],[f7660,f38])).
% 32.39/5.02 tff(f7813,plain,(
% 32.39/5.02 spl8_876 | spl8_877 | spl8_865),
% 32.39/5.02 inference(avatar_split_clause,[],[f7796,f7658,f7810,f7806])).
% 32.39/5.02 tff(f7806,plain,(
% 32.39/5.02 spl8_876 <=> sQ4_eqProxy(x2,16)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_876])])).
% 32.39/5.02 tff(f7796,plain,(
% 32.39/5.02 $less(16,x2) | sQ4_eqProxy(x2,16) | spl8_865),
% 32.39/5.02 inference(resolution,[],[f7660,f124])).
% 32.39/5.02 tff(f7804,plain,(
% 32.39/5.02 spl8_875 | spl8_2 | spl8_865),
% 32.39/5.02 inference(avatar_split_clause,[],[f7798,f7658,f153,f7801])).
% 32.39/5.02 tff(f7801,plain,(
% 32.39/5.02 spl8_875 <=> $less($product(16,sK2),$sum($product(x2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_875])])).
% 32.39/5.02 tff(f7798,plain,(
% 32.39/5.02 $less($product(16,sK2),$sum($product(x2,sK2),1)) | (spl8_2 | spl8_865)),
% 32.39/5.02 inference(resolution,[],[f7660,f1109])).
% 32.39/5.02 tff(f7771,plain,(
% 32.39/5.02 spl8_874 | ~spl8_149),
% 32.39/5.02 inference(avatar_split_clause,[],[f7766,f1268,f7768])).
% 32.39/5.02 tff(f7768,plain,(
% 32.39/5.02 spl8_874 <=> sQ4_eqProxy($sum($uminus($product($sum($product(2,sK1),1),x2)),$product($product(2,$sum(sK2,1)),y2)),sK0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_874])])).
% 32.39/5.02 tff(f1268,plain,(
% 32.39/5.02 spl8_149 <=> sQ4_eqProxy(sK0,$sum($uminus($product($sum($product(2,sK1),1),x2)),$product($product(2,$sum(sK2,1)),y2)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_149])])).
% 32.39/5.02 tff(f7766,plain,(
% 32.39/5.02 sQ4_eqProxy($sum($uminus($product($sum($product(2,sK1),1),x2)),$product($product(2,$sum(sK2,1)),y2)),sK0) | ~spl8_149),
% 32.39/5.02 inference(resolution,[],[f1270,f142])).
% 32.39/5.02 tff(f1270,plain,(
% 32.39/5.02 sQ4_eqProxy(sK0,$sum($uminus($product($sum($product(2,sK1),1),x2)),$product($product(2,$sum(sK2,1)),y2))) | ~spl8_149),
% 32.39/5.02 inference(avatar_component_clause,[],[f1268])).
% 32.39/5.02 tff(f7725,plain,(
% 32.39/5.02 spl8_873 | spl8_6 | spl8_855),
% 32.39/5.02 inference(avatar_split_clause,[],[f7687,f7507,f173,f7722])).
% 32.39/5.02 tff(f7722,plain,(
% 32.39/5.02 spl8_873 <=> $less($product(16,x2),$sum($product(sK2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_873])])).
% 32.39/5.02 tff(f7507,plain,(
% 32.39/5.02 spl8_855 <=> $less(sK2,16)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_855])])).
% 32.39/5.02 tff(f7687,plain,(
% 32.39/5.02 $less($product(16,x2),$sum($product(sK2,x2),1)) | (spl8_6 | spl8_855)),
% 32.39/5.02 inference(resolution,[],[f7509,f1159])).
% 32.39/5.02 tff(f7509,plain,(
% 32.39/5.02 ~$less(sK2,16) | spl8_855),
% 32.39/5.02 inference(avatar_component_clause,[],[f7507])).
% 32.39/5.02 tff(f7720,plain,(
% 32.39/5.02 spl8_871 | spl8_872 | spl8_855),
% 32.39/5.02 inference(avatar_split_clause,[],[f7684,f7507,f7717,f7712])).
% 32.39/5.02 tff(f7717,plain,(
% 32.39/5.02 spl8_872 <=> sQ4_eqProxy(sK2,16)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_872])])).
% 32.39/5.02 tff(f7684,plain,(
% 32.39/5.02 $less(16,sK2) | sQ4_eqProxy(sK2,16) | spl8_855),
% 32.39/5.02 inference(resolution,[],[f7509,f124])).
% 32.39/5.02 tff(f7715,plain,(
% 32.39/5.02 spl8_870 | spl8_871 | spl8_855),
% 32.39/5.02 inference(avatar_split_clause,[],[f7685,f7507,f7712,f7708])).
% 32.39/5.02 tff(f7708,plain,(
% 32.39/5.02 spl8_870 <=> sQ4_eqProxy(16,sK2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_870])])).
% 32.39/5.02 tff(f7685,plain,(
% 32.39/5.02 sQ4_eqProxy(16,sK2) | $less(16,sK2) | spl8_855),
% 32.39/5.02 inference(resolution,[],[f7509,f124])).
% 32.39/5.02 tff(f7706,plain,(
% 32.39/5.02 ~spl8_868 | spl8_869 | spl8_855),
% 32.39/5.02 inference(avatar_split_clause,[],[f7682,f7507,f7703,f7699])).
% 32.39/5.02 tff(f7699,plain,(
% 32.39/5.02 spl8_868 <=> $less(sK2,abs(16))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_868])])).
% 32.39/5.02 tff(f7703,plain,(
% 32.39/5.02 spl8_869 <=> $less(16,$uminus(sK2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_869])])).
% 32.39/5.02 tff(f7682,plain,(
% 32.39/5.02 ~$less(sK2,abs(16)) | $less(16,$uminus(sK2)) | spl8_855),
% 32.39/5.02 inference(resolution,[],[f7509,f89])).
% 32.39/5.02 tff(f7697,plain,(
% 32.39/5.02 spl8_867 | spl8_855),
% 32.39/5.02 inference(avatar_split_clause,[],[f7681,f7507,f7694])).
% 32.39/5.02 tff(f7694,plain,(
% 32.39/5.02 spl8_867 <=> $less(16,$sum(sK2,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_867])])).
% 32.39/5.02 tff(f7681,plain,(
% 32.39/5.02 $less(16,$sum(sK2,1)) | spl8_855),
% 32.39/5.02 inference(resolution,[],[f7509,f38])).
% 32.39/5.02 tff(f7692,plain,(
% 32.39/5.02 spl8_866 | spl8_2 | spl8_855),
% 32.39/5.02 inference(avatar_split_clause,[],[f7686,f7507,f153,f7689])).
% 32.39/5.02 tff(f7689,plain,(
% 32.39/5.02 spl8_866 <=> $less($product(16,sK2),$sum($product(sK2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_866])])).
% 32.39/5.02 tff(f7686,plain,(
% 32.39/5.02 $less($product(16,sK2),$sum($product(sK2,sK2),1)) | (spl8_2 | spl8_855)),
% 32.39/5.02 inference(resolution,[],[f7509,f1109])).
% 32.39/5.02 tff(f7661,plain,(
% 32.39/5.02 ~spl8_865 | ~spl8_849),
% 32.39/5.02 inference(avatar_split_clause,[],[f7651,f7450,f7658])).
% 32.39/5.02 tff(f7450,plain,(
% 32.39/5.02 spl8_849 <=> $less(15,x2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_849])])).
% 32.39/5.02 tff(f7651,plain,(
% 32.39/5.02 ~$less(x2,16) | ~spl8_849),
% 32.39/5.02 inference(evaluation,[],[f7647])).
% 32.39/5.02 tff(f7647,plain,(
% 32.39/5.02 ~$less(x2,$sum(15,1)) | ~spl8_849),
% 32.39/5.02 inference(resolution,[],[f7452,f46])).
% 32.39/5.02 tff(f7452,plain,(
% 32.39/5.02 $less(15,x2) | ~spl8_849),
% 32.39/5.02 inference(avatar_component_clause,[],[f7450])).
% 32.39/5.02 tff(f7656,plain,(
% 32.39/5.02 spl8_864 | ~spl8_849),
% 32.39/5.02 inference(avatar_split_clause,[],[f7646,f7450,f7653])).
% 32.39/5.02 tff(f7653,plain,(
% 32.39/5.02 spl8_864 <=> $less(15,abs(x2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_864])])).
% 32.39/5.02 tff(f7646,plain,(
% 32.39/5.02 $less(15,abs(x2)) | ~spl8_849),
% 32.39/5.02 inference(resolution,[],[f7452,f87])).
% 32.39/5.02 tff(f7597,plain,(
% 32.39/5.02 spl8_863 | ~spl8_17 | ~spl8_148),
% 32.39/5.02 inference(avatar_split_clause,[],[f7555,f1249,f240,f7594])).
% 32.39/5.02 tff(f7594,plain,(
% 32.39/5.02 spl8_863 <=> $less(sK2,abs($sum($product($product(2,x2),sK1),$uminus($product(2,$product(sK2,y2))))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_863])])).
% 32.39/5.02 tff(f240,plain,(
% 32.39/5.02 spl8_17 <=> $less(sK2,x2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_17])])).
% 32.39/5.02 tff(f1249,plain,(
% 32.39/5.02 spl8_148 <=> $less(x2,abs($sum($product($product(2,x2),sK1),$uminus($product(2,$product(sK2,y2))))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_148])])).
% 32.39/5.02 tff(f7555,plain,(
% 32.39/5.02 $less(sK2,abs($sum($product($product(2,x2),sK1),$uminus($product(2,$product(sK2,y2)))))) | (~spl8_17 | ~spl8_148)),
% 32.39/5.02 inference(resolution,[],[f1251,f323])).
% 32.39/5.02 tff(f323,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~$less(x2,X0) | $less(sK2,X0)) ) | ~spl8_17),
% 32.39/5.02 inference(resolution,[],[f242,f35])).
% 32.39/5.02 tff(f35,plain,(
% 32.39/5.02 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X0,X2) | ~$less(X1,X2) | ~$less(X0,X1)) )),
% 32.39/5.02 introduced(theory_axiom_151,[])).
% 32.39/5.02 tff(f242,plain,(
% 32.39/5.02 $less(sK2,x2) | ~spl8_17),
% 32.39/5.02 inference(avatar_component_clause,[],[f240])).
% 32.39/5.02 tff(f1251,plain,(
% 32.39/5.02 $less(x2,abs($sum($product($product(2,x2),sK1),$uminus($product(2,$product(sK2,y2)))))) | ~spl8_148),
% 32.39/5.02 inference(avatar_component_clause,[],[f1249])).
% 32.39/5.02 tff(f7592,plain,(
% 32.39/5.02 ~spl8_862 | spl8_3 | ~spl8_148),
% 32.39/5.02 inference(avatar_split_clause,[],[f7557,f1249,f158,f7589])).
% 32.39/5.02 tff(f7589,plain,(
% 32.39/5.02 spl8_862 <=> $less(abs($sum($product($product(2,x2),sK1),$uminus($product(2,$product(sK2,y2))))),sK2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_862])])).
% 32.39/5.02 tff(f158,plain,(
% 32.39/5.02 spl8_3 <=> $less(x2,sK2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_3])])).
% 32.39/5.02 tff(f7557,plain,(
% 32.39/5.02 ~$less(abs($sum($product($product(2,x2),sK1),$uminus($product(2,$product(sK2,y2))))),sK2) | (spl8_3 | ~spl8_148)),
% 32.39/5.02 inference(resolution,[],[f1251,f231])).
% 32.39/5.02 tff(f231,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~$less(x2,X0) | ~$less(X0,sK2)) ) | spl8_3),
% 32.39/5.02 inference(resolution,[],[f160,f35])).
% 32.39/5.02 tff(f160,plain,(
% 32.39/5.02 ~$less(x2,sK2) | spl8_3),
% 32.39/5.02 inference(avatar_component_clause,[],[f158])).
% 32.39/5.02 tff(f7587,plain,(
% 32.39/5.02 ~spl8_861 | ~spl8_148),
% 32.39/5.02 inference(avatar_split_clause,[],[f7560,f1249,f7584])).
% 32.39/5.02 tff(f7584,plain,(
% 32.39/5.02 spl8_861 <=> $less(abs($sum($product($product(2,x2),sK1),$uminus($product(2,$product(sK2,y2))))),$sum(x2,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_861])])).
% 32.39/5.02 tff(f7560,plain,(
% 32.39/5.02 ~$less(abs($sum($product($product(2,x2),sK1),$uminus($product(2,$product(sK2,y2))))),$sum(x2,1)) | ~spl8_148),
% 32.39/5.02 inference(resolution,[],[f1251,f46])).
% 32.39/5.02 tff(f7582,plain,(
% 32.39/5.02 spl8_859 | spl8_860 | ~spl8_148),
% 32.39/5.02 inference(avatar_split_clause,[],[f7558,f1249,f7579,f7575])).
% 32.39/5.02 tff(f7575,plain,(
% 32.39/5.02 spl8_859 <=> $less($sum($product($product(2,x2),sK1),$uminus($product(2,$product(sK2,y2)))),$uminus(x2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_859])])).
% 32.39/5.02 tff(f7579,plain,(
% 32.39/5.02 spl8_860 <=> $less(x2,$sum($product($product(2,x2),sK1),$uminus($product(2,$product(sK2,y2)))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_860])])).
% 32.39/5.02 tff(f7558,plain,(
% 32.39/5.02 $less(x2,$sum($product($product(2,x2),sK1),$uminus($product(2,$product(sK2,y2))))) | $less($sum($product($product(2,x2),sK1),$uminus($product(2,$product(sK2,y2)))),$uminus(x2)) | ~spl8_148),
% 32.39/5.02 inference(resolution,[],[f1251,f89])).
% 32.39/5.02 tff(f7573,plain,(
% 32.39/5.02 spl8_858 | ~spl8_148),
% 32.39/5.02 inference(avatar_split_clause,[],[f7559,f1249,f7570])).
% 32.39/5.02 tff(f7570,plain,(
% 32.39/5.02 spl8_858 <=> $less(x2,abs(abs($sum($product($product(2,x2),sK1),$uminus($product(2,$product(sK2,y2)))))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_858])])).
% 32.39/5.02 tff(f7559,plain,(
% 32.39/5.02 $less(x2,abs(abs($sum($product($product(2,x2),sK1),$uminus($product(2,$product(sK2,y2))))))) | ~spl8_148),
% 32.39/5.02 inference(resolution,[],[f1251,f87])).
% 32.39/5.02 tff(f7568,plain,(
% 32.39/5.02 spl8_857 | ~spl8_23 | ~spl8_148),
% 32.39/5.02 inference(avatar_split_clause,[],[f7554,f1249,f277,f7565])).
% 32.39/5.02 tff(f7565,plain,(
% 32.39/5.02 spl8_857 <=> $less(0,abs($sum($product($product(2,x2),sK1),$uminus($product(2,$product(sK2,y2))))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_857])])).
% 32.39/5.02 tff(f277,plain,(
% 32.39/5.02 spl8_23 <=> $less(0,x2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_23])])).
% 32.39/5.02 tff(f7554,plain,(
% 32.39/5.02 $less(0,abs($sum($product($product(2,x2),sK1),$uminus($product(2,$product(sK2,y2)))))) | (~spl8_23 | ~spl8_148)),
% 32.39/5.02 inference(resolution,[],[f1251,f338])).
% 32.39/5.02 tff(f338,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~$less(x2,X0) | $less(0,X0)) ) | ~spl8_23),
% 32.39/5.02 inference(resolution,[],[f279,f35])).
% 32.39/5.02 tff(f279,plain,(
% 32.39/5.02 $less(0,x2) | ~spl8_23),
% 32.39/5.02 inference(avatar_component_clause,[],[f277])).
% 32.39/5.02 tff(f7515,plain,(
% 32.39/5.02 spl8_856 | ~spl8_842),
% 32.39/5.02 inference(avatar_split_clause,[],[f7500,f7382,f7512])).
% 32.39/5.02 tff(f7512,plain,(
% 32.39/5.02 spl8_856 <=> $less(15,abs(sK2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_856])])).
% 32.39/5.02 tff(f7382,plain,(
% 32.39/5.02 spl8_842 <=> $less(15,sK2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_842])])).
% 32.39/5.02 tff(f7500,plain,(
% 32.39/5.02 $less(15,abs(sK2)) | ~spl8_842),
% 32.39/5.02 inference(resolution,[],[f7384,f87])).
% 32.39/5.02 tff(f7384,plain,(
% 32.39/5.02 $less(15,sK2) | ~spl8_842),
% 32.39/5.02 inference(avatar_component_clause,[],[f7382])).
% 32.39/5.02 tff(f7510,plain,(
% 32.39/5.02 ~spl8_855 | ~spl8_842),
% 32.39/5.02 inference(avatar_split_clause,[],[f7505,f7382,f7507])).
% 32.39/5.02 tff(f7505,plain,(
% 32.39/5.02 ~$less(sK2,16) | ~spl8_842),
% 32.39/5.02 inference(evaluation,[],[f7501])).
% 32.39/5.02 tff(f7501,plain,(
% 32.39/5.02 ~$less(sK2,$sum(15,1)) | ~spl8_842),
% 32.39/5.02 inference(resolution,[],[f7384,f46])).
% 32.39/5.02 tff(f7476,plain,(
% 32.39/5.02 spl8_849 | spl8_854 | spl8_837),
% 32.39/5.02 inference(avatar_split_clause,[],[f7436,f7344,f7473,f7450])).
% 32.39/5.02 tff(f7473,plain,(
% 32.39/5.02 spl8_854 <=> sQ4_eqProxy(15,x2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_854])])).
% 32.39/5.02 tff(f7344,plain,(
% 32.39/5.02 spl8_837 <=> $less(x2,15)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_837])])).
% 32.39/5.02 tff(f7436,plain,(
% 32.39/5.02 sQ4_eqProxy(15,x2) | $less(15,x2) | spl8_837),
% 32.39/5.02 inference(resolution,[],[f7346,f124])).
% 32.39/5.02 tff(f7346,plain,(
% 32.39/5.02 ~$less(x2,15) | spl8_837),
% 32.39/5.02 inference(avatar_component_clause,[],[f7344])).
% 32.39/5.02 tff(f7471,plain,(
% 32.39/5.02 spl8_853 | spl8_6 | spl8_837),
% 32.39/5.02 inference(avatar_split_clause,[],[f7438,f7344,f173,f7468])).
% 32.39/5.02 tff(f7468,plain,(
% 32.39/5.02 spl8_853 <=> $less($product(15,x2),$sum($product(x2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_853])])).
% 32.39/5.02 tff(f7438,plain,(
% 32.39/5.02 $less($product(15,x2),$sum($product(x2,x2),1)) | (spl8_6 | spl8_837)),
% 32.39/5.02 inference(resolution,[],[f7346,f1159])).
% 32.39/5.02 tff(f7466,plain,(
% 32.39/5.02 ~spl8_851 | spl8_852 | spl8_837),
% 32.39/5.02 inference(avatar_split_clause,[],[f7433,f7344,f7463,f7459])).
% 32.39/5.02 tff(f7459,plain,(
% 32.39/5.02 spl8_851 <=> $less(x2,abs(15))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_851])])).
% 32.39/5.02 tff(f7463,plain,(
% 32.39/5.02 spl8_852 <=> $less(15,$uminus(x2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_852])])).
% 32.39/5.02 tff(f7433,plain,(
% 32.39/5.02 $less(15,$uminus(x2)) | ~$less(x2,abs(15)) | spl8_837),
% 32.39/5.02 inference(resolution,[],[f7346,f89])).
% 32.39/5.02 tff(f7457,plain,(
% 32.39/5.02 spl8_849 | spl8_850 | spl8_837),
% 32.39/5.02 inference(avatar_split_clause,[],[f7435,f7344,f7454,f7450])).
% 32.39/5.02 tff(f7454,plain,(
% 32.39/5.02 spl8_850 <=> sQ4_eqProxy(x2,15)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_850])])).
% 32.39/5.02 tff(f7435,plain,(
% 32.39/5.02 $less(15,x2) | sQ4_eqProxy(x2,15) | spl8_837),
% 32.39/5.02 inference(resolution,[],[f7346,f124])).
% 32.39/5.02 tff(f7448,plain,(
% 32.39/5.02 spl8_848 | spl8_837),
% 32.39/5.02 inference(avatar_split_clause,[],[f7432,f7344,f7445])).
% 32.39/5.02 tff(f7445,plain,(
% 32.39/5.02 spl8_848 <=> $less(15,$sum(x2,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_848])])).
% 32.39/5.02 tff(f7432,plain,(
% 32.39/5.02 $less(15,$sum(x2,1)) | spl8_837),
% 32.39/5.02 inference(resolution,[],[f7346,f38])).
% 32.39/5.02 tff(f7443,plain,(
% 32.39/5.02 spl8_847 | spl8_2 | spl8_837),
% 32.39/5.02 inference(avatar_split_clause,[],[f7437,f7344,f153,f7440])).
% 32.39/5.02 tff(f7440,plain,(
% 32.39/5.02 spl8_847 <=> $less($product(15,sK2),$sum($product(x2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_847])])).
% 32.39/5.02 tff(f7437,plain,(
% 32.39/5.02 $less($product(15,sK2),$sum($product(x2,sK2),1)) | (spl8_2 | spl8_837)),
% 32.39/5.02 inference(resolution,[],[f7346,f1109])).
% 32.39/5.02 tff(f7404,plain,(
% 32.39/5.02 spl8_842 | spl8_846 | spl8_835),
% 32.39/5.02 inference(avatar_split_clause,[],[f7363,f7328,f7401,f7382])).
% 32.39/5.02 tff(f7401,plain,(
% 32.39/5.02 spl8_846 <=> sQ4_eqProxy(sK2,15)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_846])])).
% 32.39/5.02 tff(f7328,plain,(
% 32.39/5.02 spl8_835 <=> $less(sK2,15)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_835])])).
% 32.39/5.02 tff(f7363,plain,(
% 32.39/5.02 sQ4_eqProxy(sK2,15) | $less(15,sK2) | spl8_835),
% 32.39/5.02 inference(resolution,[],[f7330,f124])).
% 32.39/5.02 tff(f7330,plain,(
% 32.39/5.02 ~$less(sK2,15) | spl8_835),
% 32.39/5.02 inference(avatar_component_clause,[],[f7328])).
% 32.39/5.02 tff(f7399,plain,(
% 32.39/5.02 spl8_845 | spl8_6 | spl8_835),
% 32.39/5.02 inference(avatar_split_clause,[],[f7366,f7328,f173,f7396])).
% 32.39/5.02 tff(f7396,plain,(
% 32.39/5.02 spl8_845 <=> $less($product(15,x2),$sum($product(sK2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_845])])).
% 32.39/5.02 tff(f7366,plain,(
% 32.39/5.02 $less($product(15,x2),$sum($product(sK2,x2),1)) | (spl8_6 | spl8_835)),
% 32.39/5.02 inference(resolution,[],[f7330,f1159])).
% 32.39/5.02 tff(f7394,plain,(
% 32.39/5.02 spl8_844 | spl8_2 | spl8_835),
% 32.39/5.02 inference(avatar_split_clause,[],[f7365,f7328,f153,f7391])).
% 32.39/5.02 tff(f7391,plain,(
% 32.39/5.02 spl8_844 <=> $less($product(15,sK2),$sum($product(sK2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_844])])).
% 32.39/5.02 tff(f7365,plain,(
% 32.39/5.02 $less($product(15,sK2),$sum($product(sK2,sK2),1)) | (spl8_2 | spl8_835)),
% 32.39/5.02 inference(resolution,[],[f7330,f1109])).
% 32.39/5.02 tff(f7389,plain,(
% 32.39/5.02 spl8_842 | spl8_843 | spl8_835),
% 32.39/5.02 inference(avatar_split_clause,[],[f7364,f7328,f7386,f7382])).
% 32.39/5.02 tff(f7386,plain,(
% 32.39/5.02 spl8_843 <=> sQ4_eqProxy(15,sK2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_843])])).
% 32.39/5.02 tff(f7364,plain,(
% 32.39/5.02 $less(15,sK2) | sQ4_eqProxy(15,sK2) | spl8_835),
% 32.39/5.02 inference(resolution,[],[f7330,f124])).
% 32.39/5.02 tff(f7380,plain,(
% 32.39/5.02 ~spl8_840 | spl8_841 | spl8_835),
% 32.39/5.02 inference(avatar_split_clause,[],[f7361,f7328,f7377,f7373])).
% 32.39/5.02 tff(f7373,plain,(
% 32.39/5.02 spl8_840 <=> $less(sK2,abs(15))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_840])])).
% 32.39/5.02 tff(f7377,plain,(
% 32.39/5.02 spl8_841 <=> $less(15,$uminus(sK2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_841])])).
% 32.39/5.02 tff(f7361,plain,(
% 32.39/5.02 ~$less(sK2,abs(15)) | $less(15,$uminus(sK2)) | spl8_835),
% 32.39/5.02 inference(resolution,[],[f7330,f89])).
% 32.39/5.02 tff(f7371,plain,(
% 32.39/5.02 spl8_839 | spl8_835),
% 32.39/5.02 inference(avatar_split_clause,[],[f7360,f7328,f7368])).
% 32.39/5.02 tff(f7368,plain,(
% 32.39/5.02 spl8_839 <=> $less(15,$sum(sK2,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_839])])).
% 32.39/5.02 tff(f7360,plain,(
% 32.39/5.02 $less(15,$sum(sK2,1)) | spl8_835),
% 32.39/5.02 inference(resolution,[],[f7330,f38])).
% 32.39/5.02 tff(f7352,plain,(
% 32.39/5.02 spl8_838 | ~spl8_828),
% 32.39/5.02 inference(avatar_split_clause,[],[f7337,f7286,f7349])).
% 32.39/5.02 tff(f7349,plain,(
% 32.39/5.02 spl8_838 <=> $less(14,abs(x2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_838])])).
% 32.39/5.02 tff(f7286,plain,(
% 32.39/5.02 spl8_828 <=> $less(14,x2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_828])])).
% 32.39/5.02 tff(f7337,plain,(
% 32.39/5.02 $less(14,abs(x2)) | ~spl8_828),
% 32.39/5.02 inference(resolution,[],[f7288,f87])).
% 32.39/5.02 tff(f7288,plain,(
% 32.39/5.02 $less(14,x2) | ~spl8_828),
% 32.39/5.02 inference(avatar_component_clause,[],[f7286])).
% 32.39/5.02 tff(f7347,plain,(
% 32.39/5.02 ~spl8_837 | ~spl8_828),
% 32.39/5.02 inference(avatar_split_clause,[],[f7342,f7286,f7344])).
% 32.39/5.02 tff(f7342,plain,(
% 32.39/5.02 ~$less(x2,15) | ~spl8_828),
% 32.39/5.02 inference(evaluation,[],[f7338])).
% 32.39/5.02 tff(f7338,plain,(
% 32.39/5.02 ~$less(x2,$sum(14,1)) | ~spl8_828),
% 32.39/5.02 inference(resolution,[],[f7288,f46])).
% 32.39/5.02 tff(f7336,plain,(
% 32.39/5.02 spl8_836 | ~spl8_820),
% 32.39/5.02 inference(avatar_split_clause,[],[f7321,f7009,f7333])).
% 32.39/5.02 tff(f7333,plain,(
% 32.39/5.02 spl8_836 <=> $less(14,abs(sK2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_836])])).
% 32.39/5.02 tff(f7009,plain,(
% 32.39/5.02 spl8_820 <=> $less(14,sK2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_820])])).
% 32.39/5.02 tff(f7321,plain,(
% 32.39/5.02 $less(14,abs(sK2)) | ~spl8_820),
% 32.39/5.02 inference(resolution,[],[f7011,f87])).
% 32.39/5.02 tff(f7011,plain,(
% 32.39/5.02 $less(14,sK2) | ~spl8_820),
% 32.39/5.02 inference(avatar_component_clause,[],[f7009])).
% 32.39/5.02 tff(f7331,plain,(
% 32.39/5.02 ~spl8_835 | ~spl8_820),
% 32.39/5.02 inference(avatar_split_clause,[],[f7326,f7009,f7328])).
% 32.39/5.02 tff(f7326,plain,(
% 32.39/5.02 ~$less(sK2,15) | ~spl8_820),
% 32.39/5.02 inference(evaluation,[],[f7322])).
% 32.39/5.02 tff(f7322,plain,(
% 32.39/5.02 ~$less(sK2,$sum(14,1)) | ~spl8_820),
% 32.39/5.02 inference(resolution,[],[f7011,f46])).
% 32.39/5.02 tff(f7318,plain,(
% 32.39/5.02 spl8_834 | spl8_6 | spl8_686),
% 32.39/5.02 inference(avatar_split_clause,[],[f7280,f5967,f173,f7315])).
% 32.39/5.02 tff(f7315,plain,(
% 32.39/5.02 spl8_834 <=> $less($product(14,x2),$sum($product(x2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_834])])).
% 32.39/5.02 tff(f5967,plain,(
% 32.39/5.02 spl8_686 <=> $less(x2,14)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_686])])).
% 32.39/5.02 tff(f7280,plain,(
% 32.39/5.02 $less($product(14,x2),$sum($product(x2,x2),1)) | (spl8_6 | spl8_686)),
% 32.39/5.02 inference(resolution,[],[f5969,f1159])).
% 32.39/5.02 tff(f5969,plain,(
% 32.39/5.02 ~$less(x2,14) | spl8_686),
% 32.39/5.02 inference(avatar_component_clause,[],[f5967])).
% 32.39/5.02 tff(f7313,plain,(
% 32.39/5.02 spl8_832 | ~spl8_833 | spl8_686),
% 32.39/5.02 inference(avatar_split_clause,[],[f7275,f5967,f7310,f7306])).
% 32.39/5.02 tff(f7306,plain,(
% 32.39/5.02 spl8_832 <=> $less(14,$uminus(x2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_832])])).
% 32.39/5.02 tff(f7310,plain,(
% 32.39/5.02 spl8_833 <=> $less(x2,abs(14))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_833])])).
% 32.39/5.02 tff(f7275,plain,(
% 32.39/5.02 ~$less(x2,abs(14)) | $less(14,$uminus(x2)) | spl8_686),
% 32.39/5.02 inference(resolution,[],[f5969,f89])).
% 32.39/5.02 tff(f7304,plain,(
% 32.39/5.02 spl8_828 | spl8_831 | spl8_686),
% 32.39/5.02 inference(avatar_split_clause,[],[f7278,f5967,f7301,f7286])).
% 32.39/5.02 tff(f7301,plain,(
% 32.39/5.02 spl8_831 <=> sQ4_eqProxy(14,x2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_831])])).
% 32.39/5.02 tff(f7278,plain,(
% 32.39/5.02 $less(14,x2) | sQ4_eqProxy(14,x2) | spl8_686),
% 32.39/5.02 inference(resolution,[],[f5969,f124])).
% 32.39/5.02 tff(f7299,plain,(
% 32.39/5.02 spl8_830 | spl8_686),
% 32.39/5.02 inference(avatar_split_clause,[],[f7274,f5967,f7296])).
% 32.39/5.02 tff(f7296,plain,(
% 32.39/5.02 spl8_830 <=> $less(14,$sum(x2,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_830])])).
% 32.39/5.02 tff(f7274,plain,(
% 32.39/5.02 $less(14,$sum(x2,1)) | spl8_686),
% 32.39/5.02 inference(resolution,[],[f5969,f38])).
% 32.39/5.02 tff(f7294,plain,(
% 32.39/5.02 spl8_829 | spl8_2 | spl8_686),
% 32.39/5.02 inference(avatar_split_clause,[],[f7279,f5967,f153,f7291])).
% 32.39/5.02 tff(f7291,plain,(
% 32.39/5.02 spl8_829 <=> $less($product(14,sK2),$sum($product(x2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_829])])).
% 32.39/5.02 tff(f7279,plain,(
% 32.39/5.02 $less($product(14,sK2),$sum($product(x2,sK2),1)) | (spl8_2 | spl8_686)),
% 32.39/5.02 inference(resolution,[],[f5969,f1109])).
% 32.39/5.02 tff(f7289,plain,(
% 32.39/5.02 spl8_827 | spl8_828 | spl8_686),
% 32.39/5.02 inference(avatar_split_clause,[],[f7277,f5967,f7286,f7282])).
% 32.39/5.02 tff(f7282,plain,(
% 32.39/5.02 spl8_827 <=> sQ4_eqProxy(x2,14)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_827])])).
% 32.39/5.02 tff(f7277,plain,(
% 32.39/5.02 $less(14,x2) | sQ4_eqProxy(x2,14) | spl8_686),
% 32.39/5.02 inference(resolution,[],[f5969,f124])).
% 32.39/5.02 tff(f7262,plain,(
% 32.39/5.02 spl8_826 | spl8_639 | ~spl8_50),
% 32.39/5.02 inference(avatar_split_clause,[],[f7232,f442,f5611,f7260])).
% 32.39/5.02 tff(f7260,plain,(
% 32.39/5.02 spl8_826 <=> ! [X0 : $int] : (~$less($sum(sK0,1),$product(X0,$sum(y2,$uminus(x2)))) | $less(2,X0))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_826])])).
% 32.39/5.02 tff(f5611,plain,(
% 32.39/5.02 spl8_639 <=> $less($sum(y2,$uminus(x2)),0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_639])])).
% 32.39/5.02 tff(f442,plain,(
% 32.39/5.02 spl8_50 <=> $less($product(2,$sum(y2,$uminus(x2))),$sum(sK0,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_50])])).
% 32.39/5.02 tff(f7232,plain,(
% 32.39/5.02 ( ! [X0 : $int] : ($less($sum(y2,$uminus(x2)),0) | ~$less($sum(sK0,1),$product(X0,$sum(y2,$uminus(x2)))) | $less(2,X0)) ) | ~spl8_50),
% 32.39/5.02 inference(resolution,[],[f1173,f93])).
% 32.39/5.02 tff(f1173,plain,(
% 32.39/5.02 ( ! [X0 : $int] : ($less($product(2,$sum(y2,$uminus(x2))),X0) | ~$less($sum(sK0,1),X0)) ) | ~spl8_50),
% 32.39/5.02 inference(resolution,[],[f444,f35])).
% 32.39/5.02 tff(f444,plain,(
% 32.39/5.02 $less($product(2,$sum(y2,$uminus(x2))),$sum(sK0,1)) | ~spl8_50),
% 32.39/5.02 inference(avatar_component_clause,[],[f442])).
% 32.39/5.02 tff(f7258,plain,(
% 32.39/5.02 ~spl8_825 | ~spl8_50),
% 32.39/5.02 inference(avatar_split_clause,[],[f7233,f442,f7255])).
% 32.39/5.02 tff(f7255,plain,(
% 32.39/5.02 spl8_825 <=> $less($sum(sK0,1),$product(2,$sum(y2,$uminus(x2))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_825])])).
% 32.39/5.02 tff(f7233,plain,(
% 32.39/5.02 ~$less($sum(sK0,1),$product(2,$sum(y2,$uminus(x2)))) | ~spl8_50),
% 32.39/5.02 inference(resolution,[],[f1173,f34])).
% 32.39/5.02 tff(f34,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 32.39/5.02 introduced(theory_axiom_150,[])).
% 32.39/5.02 tff(f7031,plain,(
% 32.39/5.02 spl8_824 | spl8_2 | spl8_677),
% 32.39/5.02 inference(avatar_split_clause,[],[f6992,f5880,f153,f7028])).
% 32.39/5.02 tff(f7028,plain,(
% 32.39/5.02 spl8_824 <=> $less($product(14,sK2),$sum($product(sK2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_824])])).
% 32.39/5.02 tff(f5880,plain,(
% 32.39/5.02 spl8_677 <=> $less(sK2,14)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_677])])).
% 32.39/5.02 tff(f6992,plain,(
% 32.39/5.02 $less($product(14,sK2),$sum($product(sK2,sK2),1)) | (spl8_2 | spl8_677)),
% 32.39/5.02 inference(resolution,[],[f5882,f1109])).
% 32.39/5.02 tff(f5882,plain,(
% 32.39/5.02 ~$less(sK2,14) | spl8_677),
% 32.39/5.02 inference(avatar_component_clause,[],[f5880])).
% 32.39/5.02 tff(f7026,plain,(
% 32.39/5.02 spl8_823 | spl8_677),
% 32.39/5.02 inference(avatar_split_clause,[],[f6987,f5880,f7023])).
% 32.39/5.02 tff(f7023,plain,(
% 32.39/5.02 spl8_823 <=> $less(14,$sum(sK2,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_823])])).
% 32.39/5.02 tff(f6987,plain,(
% 32.39/5.02 $less(14,$sum(sK2,1)) | spl8_677),
% 32.39/5.02 inference(resolution,[],[f5882,f38])).
% 32.39/5.02 tff(f7021,plain,(
% 32.39/5.02 spl8_820 | spl8_822 | spl8_677),
% 32.39/5.02 inference(avatar_split_clause,[],[f6990,f5880,f7018,f7009])).
% 32.39/5.02 tff(f7018,plain,(
% 32.39/5.02 spl8_822 <=> sQ4_eqProxy(sK2,14)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_822])])).
% 32.39/5.02 tff(f6990,plain,(
% 32.39/5.02 $less(14,sK2) | sQ4_eqProxy(sK2,14) | spl8_677),
% 32.39/5.02 inference(resolution,[],[f5882,f124])).
% 32.39/5.02 tff(f7016,plain,(
% 32.39/5.02 spl8_820 | spl8_821 | spl8_677),
% 32.39/5.02 inference(avatar_split_clause,[],[f6991,f5880,f7013,f7009])).
% 32.39/5.02 tff(f7013,plain,(
% 32.39/5.02 spl8_821 <=> sQ4_eqProxy(14,sK2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_821])])).
% 32.39/5.02 tff(f6991,plain,(
% 32.39/5.02 $less(14,sK2) | sQ4_eqProxy(14,sK2) | spl8_677),
% 32.39/5.02 inference(resolution,[],[f5882,f124])).
% 32.39/5.02 tff(f7007,plain,(
% 32.39/5.02 spl8_819 | spl8_6 | spl8_677),
% 32.39/5.02 inference(avatar_split_clause,[],[f6993,f5880,f173,f7004])).
% 32.39/5.02 tff(f7004,plain,(
% 32.39/5.02 spl8_819 <=> $less($product(14,x2),$sum($product(sK2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_819])])).
% 32.39/5.02 tff(f6993,plain,(
% 32.39/5.02 $less($product(14,x2),$sum($product(sK2,x2),1)) | (spl8_6 | spl8_677)),
% 32.39/5.02 inference(resolution,[],[f5882,f1159])).
% 32.39/5.02 tff(f7002,plain,(
% 32.39/5.02 spl8_817 | ~spl8_818 | spl8_677),
% 32.39/5.02 inference(avatar_split_clause,[],[f6988,f5880,f6999,f6995])).
% 32.39/5.02 tff(f6995,plain,(
% 32.39/5.02 spl8_817 <=> $less(14,$uminus(sK2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_817])])).
% 32.39/5.02 tff(f6999,plain,(
% 32.39/5.02 spl8_818 <=> $less(sK2,abs(14))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_818])])).
% 32.39/5.02 tff(f6988,plain,(
% 32.39/5.02 ~$less(sK2,abs(14)) | $less(14,$uminus(sK2)) | spl8_677),
% 32.39/5.02 inference(resolution,[],[f5882,f89])).
% 32.39/5.02 tff(f6969,plain,(
% 32.39/5.02 spl8_815 | ~spl8_816 | spl8_141),
% 32.39/5.02 inference(avatar_split_clause,[],[f6939,f1182,f6966,f6962])).
% 32.39/5.02 tff(f6962,plain,(
% 32.39/5.02 spl8_815 <=> $less($sum($product(2,$sum(y2,$uminus(x2))),1),$uminus($sum(sK0,1)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_815])])).
% 32.39/5.02 tff(f6966,plain,(
% 32.39/5.02 spl8_816 <=> $less($sum(sK0,1),abs($sum($product(2,$sum(y2,$uminus(x2))),1)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_816])])).
% 32.39/5.02 tff(f1182,plain,(
% 32.39/5.02 spl8_141 <=> $less($sum(sK0,1),$sum($product(2,$sum(y2,$uminus(x2))),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_141])])).
% 32.39/5.02 tff(f6939,plain,(
% 32.39/5.02 $less($sum($product(2,$sum(y2,$uminus(x2))),1),$uminus($sum(sK0,1))) | ~$less($sum(sK0,1),abs($sum($product(2,$sum(y2,$uminus(x2))),1))) | spl8_141),
% 32.39/5.02 inference(resolution,[],[f1184,f89])).
% 32.39/5.02 tff(f1184,plain,(
% 32.39/5.02 ~$less($sum(sK0,1),$sum($product(2,$sum(y2,$uminus(x2))),1)) | spl8_141),
% 32.39/5.02 inference(avatar_component_clause,[],[f1182])).
% 32.39/5.02 tff(f6960,plain,(
% 32.39/5.02 spl8_814 | spl8_6 | spl8_141),
% 32.39/5.02 inference(avatar_split_clause,[],[f6944,f1182,f173,f6957])).
% 32.39/5.02 tff(f6957,plain,(
% 32.39/5.02 spl8_814 <=> $less($product($sum($product(2,$sum(y2,$uminus(x2))),1),x2),$sum($product($sum(sK0,1),x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_814])])).
% 32.39/5.02 tff(f6944,plain,(
% 32.39/5.02 $less($product($sum($product(2,$sum(y2,$uminus(x2))),1),x2),$sum($product($sum(sK0,1),x2),1)) | (spl8_6 | spl8_141)),
% 32.39/5.02 inference(resolution,[],[f1184,f1159])).
% 32.39/5.02 tff(f6955,plain,(
% 32.39/5.02 spl8_813 | spl8_2 | spl8_141),
% 32.39/5.02 inference(avatar_split_clause,[],[f6943,f1182,f153,f6952])).
% 32.39/5.02 tff(f6952,plain,(
% 32.39/5.02 spl8_813 <=> $less($product($sum($product(2,$sum(y2,$uminus(x2))),1),sK2),$sum($product($sum(sK0,1),sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_813])])).
% 32.39/5.02 tff(f6943,plain,(
% 32.39/5.02 $less($product($sum($product(2,$sum(y2,$uminus(x2))),1),sK2),$sum($product($sum(sK0,1),sK2),1)) | (spl8_2 | spl8_141)),
% 32.39/5.02 inference(resolution,[],[f1184,f1109])).
% 32.39/5.02 tff(f6950,plain,(
% 32.39/5.02 spl8_812 | spl8_141),
% 32.39/5.02 inference(avatar_split_clause,[],[f6945,f1182,f6947])).
% 32.39/5.02 tff(f6947,plain,(
% 32.39/5.02 spl8_812 <=> $less($sum($product(2,$sum(y2,$uminus(x2))),1),$sum(2,sK0))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_812])])).
% 32.39/5.02 tff(f6945,plain,(
% 32.39/5.02 $less($sum($product(2,$sum(y2,$uminus(x2))),1),$sum(2,sK0)) | spl8_141),
% 32.39/5.02 inference(evaluation,[],[f6938])).
% 32.39/5.02 tff(f6938,plain,(
% 32.39/5.02 $less($sum($product(2,$sum(y2,$uminus(x2))),1),$sum($sum(sK0,1),1)) | spl8_141),
% 32.39/5.02 inference(resolution,[],[f1184,f38])).
% 32.39/5.02 tff(f6928,plain,(
% 32.39/5.02 spl8_811 | spl8_6),
% 32.39/5.02 inference(avatar_split_clause,[],[f6550,f173,f6925])).
% 32.39/5.02 tff(f6925,plain,(
% 32.39/5.02 spl8_811 <=> $less($product(0,x2),$sum($product(y2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_811])])).
% 32.39/5.02 tff(f6550,plain,(
% 32.39/5.02 $less($product(0,x2),$sum($product(y2,x2),1)) | spl8_6),
% 32.39/5.02 inference(resolution,[],[f1159,f92])).
% 32.39/5.02 tff(f92,plain,(
% 32.39/5.02 ~$less(y2,0)),
% 32.39/5.02 inference(cnf_transformation,[],[f26])).
% 32.39/5.02 tff(f26,plain,(
% 32.39/5.02 ~$less(y2,0) & ~$less(x2,y2)),
% 32.39/5.02 inference(theory_normalization,[],[f13])).
% 32.39/5.02 tff(f13,axiom,(
% 32.39/5.02 $lesseq(0,y2) & $lesseq(y2,x2)),
% 32.39/5.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
% 32.39/5.02 tff(f6923,plain,(
% 32.39/5.02 spl8_810 | spl8_6 | spl8_68),
% 32.39/5.02 inference(avatar_split_clause,[],[f6534,f567,f173,f6920])).
% 32.39/5.02 tff(f6920,plain,(
% 32.39/5.02 spl8_810 <=> $less($product(2,x2),$sum($product(x2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_810])])).
% 32.39/5.02 tff(f567,plain,(
% 32.39/5.02 spl8_68 <=> $less(x2,2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_68])])).
% 32.39/5.02 tff(f6534,plain,(
% 32.39/5.02 $less($product(2,x2),$sum($product(x2,x2),1)) | (spl8_6 | spl8_68)),
% 32.39/5.02 inference(resolution,[],[f1159,f569])).
% 32.39/5.02 tff(f569,plain,(
% 32.39/5.02 ~$less(x2,2) | spl8_68),
% 32.39/5.02 inference(avatar_component_clause,[],[f567])).
% 32.39/5.02 tff(f6918,plain,(
% 32.39/5.02 spl8_809 | spl8_6 | spl8_555),
% 32.39/5.02 inference(avatar_split_clause,[],[f6537,f4886,f173,f6915])).
% 32.39/5.02 tff(f6915,plain,(
% 32.39/5.02 spl8_809 <=> $less($product(sK0,x2),$sum($product(x2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_809])])).
% 32.39/5.02 tff(f4886,plain,(
% 32.39/5.02 spl8_555 <=> $less(x2,sK0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_555])])).
% 32.39/5.02 tff(f6537,plain,(
% 32.39/5.02 $less($product(sK0,x2),$sum($product(x2,x2),1)) | (spl8_6 | spl8_555)),
% 32.39/5.02 inference(resolution,[],[f1159,f4888])).
% 32.39/5.02 tff(f4888,plain,(
% 32.39/5.02 ~$less(x2,sK0) | spl8_555),
% 32.39/5.02 inference(avatar_component_clause,[],[f4886])).
% 32.39/5.02 tff(f6913,plain,(
% 32.39/5.02 spl8_808 | spl8_6 | spl8_168),
% 32.39/5.02 inference(avatar_split_clause,[],[f6540,f1434,f173,f6910])).
% 32.39/5.02 tff(f6910,plain,(
% 32.39/5.02 spl8_808 <=> $less($product(3,x2),$sum($product(x2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_808])])).
% 32.39/5.02 tff(f1434,plain,(
% 32.39/5.02 spl8_168 <=> $less(x2,3)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_168])])).
% 32.39/5.02 tff(f6540,plain,(
% 32.39/5.02 $less($product(3,x2),$sum($product(x2,x2),1)) | (spl8_6 | spl8_168)),
% 32.39/5.02 inference(resolution,[],[f1159,f1436])).
% 32.39/5.02 tff(f1436,plain,(
% 32.39/5.02 ~$less(x2,3) | spl8_168),
% 32.39/5.02 inference(avatar_component_clause,[],[f1434])).
% 32.39/5.02 tff(f6908,plain,(
% 32.39/5.02 spl8_807 | spl8_6 | spl8_61),
% 32.39/5.02 inference(avatar_split_clause,[],[f6567,f520,f173,f6905])).
% 32.39/5.02 tff(f6905,plain,(
% 32.39/5.02 spl8_807 <=> $less($product(sK2,x2),$sum($product(abs(0),x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_807])])).
% 32.39/5.02 tff(f520,plain,(
% 32.39/5.02 spl8_61 <=> $less(abs(0),sK2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_61])])).
% 32.39/5.02 tff(f6567,plain,(
% 32.39/5.02 $less($product(sK2,x2),$sum($product(abs(0),x2),1)) | (spl8_6 | spl8_61)),
% 32.39/5.02 inference(resolution,[],[f1159,f521])).
% 32.39/5.02 tff(f521,plain,(
% 32.39/5.02 ~$less(abs(0),sK2) | spl8_61),
% 32.39/5.02 inference(avatar_component_clause,[],[f520])).
% 32.39/5.02 tff(f6903,plain,(
% 32.39/5.02 spl8_806 | spl8_6 | spl8_419),
% 32.39/5.02 inference(avatar_split_clause,[],[f6613,f3638,f173,f6900])).
% 32.39/5.02 tff(f6900,plain,(
% 32.39/5.02 spl8_806 <=> $less($product(9,x2),$sum($product(sK2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_806])])).
% 32.39/5.02 tff(f3638,plain,(
% 32.39/5.02 spl8_419 <=> $less(sK2,9)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_419])])).
% 32.39/5.02 tff(f6613,plain,(
% 32.39/5.02 $less($product(9,x2),$sum($product(sK2,x2),1)) | (spl8_6 | spl8_419)),
% 32.39/5.02 inference(resolution,[],[f1159,f3640])).
% 32.39/5.02 tff(f3640,plain,(
% 32.39/5.02 ~$less(sK2,9) | spl8_419),
% 32.39/5.02 inference(avatar_component_clause,[],[f3638])).
% 32.39/5.02 tff(f6898,plain,(
% 32.39/5.02 spl8_805 | spl8_6 | spl8_390),
% 32.39/5.02 inference(avatar_split_clause,[],[f6544,f3246,f173,f6895])).
% 32.39/5.02 tff(f6895,plain,(
% 32.39/5.02 spl8_805 <=> $less($product(8,x2),$sum($product(x2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_805])])).
% 32.39/5.02 tff(f3246,plain,(
% 32.39/5.02 spl8_390 <=> $less(x2,8)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_390])])).
% 32.39/5.02 tff(f6544,plain,(
% 32.39/5.02 $less($product(8,x2),$sum($product(x2,x2),1)) | (spl8_6 | spl8_390)),
% 32.39/5.02 inference(resolution,[],[f1159,f3248])).
% 32.39/5.02 tff(f3248,plain,(
% 32.39/5.02 ~$less(x2,8) | spl8_390),
% 32.39/5.02 inference(avatar_component_clause,[],[f3246])).
% 32.39/5.02 tff(f6893,plain,(
% 32.39/5.02 spl8_804 | spl8_6 | spl8_91),
% 32.39/5.02 inference(avatar_split_clause,[],[f6594,f754,f173,f6890])).
% 32.39/5.02 tff(f6890,plain,(
% 32.39/5.02 spl8_804 <=> $less($product($sum(sK2,1),x2),$sum($product($sum(x2,1),x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_804])])).
% 32.39/5.02 tff(f754,plain,(
% 32.39/5.02 spl8_91 <=> $less($sum(x2,1),$sum(sK2,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_91])])).
% 32.39/5.02 tff(f6594,plain,(
% 32.39/5.02 $less($product($sum(sK2,1),x2),$sum($product($sum(x2,1),x2),1)) | (spl8_6 | spl8_91)),
% 32.39/5.02 inference(resolution,[],[f1159,f756])).
% 32.39/5.02 tff(f756,plain,(
% 32.39/5.02 ~$less($sum(x2,1),$sum(sK2,1)) | spl8_91),
% 32.39/5.02 inference(avatar_component_clause,[],[f754])).
% 32.39/5.02 tff(f6888,plain,(
% 32.39/5.02 spl8_803 | spl8_6 | spl8_522),
% 32.39/5.02 inference(avatar_split_clause,[],[f6615,f4525,f173,f6885])).
% 32.39/5.02 tff(f6885,plain,(
% 32.39/5.02 spl8_803 <=> $less($product(11,x2),$sum($product(sK2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_803])])).
% 32.39/5.02 tff(f4525,plain,(
% 32.39/5.02 spl8_522 <=> $less(sK2,11)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_522])])).
% 32.39/5.02 tff(f6615,plain,(
% 32.39/5.02 $less($product(11,x2),$sum($product(sK2,x2),1)) | (spl8_6 | spl8_522)),
% 32.39/5.02 inference(resolution,[],[f1159,f4527])).
% 32.39/5.02 tff(f4527,plain,(
% 32.39/5.02 ~$less(sK2,11) | spl8_522),
% 32.39/5.02 inference(avatar_component_clause,[],[f4525])).
% 32.39/5.02 tff(f6883,plain,(
% 32.39/5.02 spl8_802 | spl8_6 | spl8_78),
% 32.39/5.02 inference(avatar_split_clause,[],[f6581,f641,f173,f6880])).
% 32.39/5.02 tff(f6880,plain,(
% 32.39/5.02 spl8_802 <=> $less($product($sum(sK2,1),x2),$sum($product($uminus(x2),x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_802])])).
% 32.39/5.02 tff(f641,plain,(
% 32.39/5.02 spl8_78 <=> $less($uminus(x2),$sum(sK2,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_78])])).
% 32.39/5.02 tff(f6581,plain,(
% 32.39/5.02 $less($product($sum(sK2,1),x2),$sum($product($uminus(x2),x2),1)) | (spl8_6 | spl8_78)),
% 32.39/5.02 inference(resolution,[],[f1159,f643])).
% 32.39/5.02 tff(f643,plain,(
% 32.39/5.02 ~$less($uminus(x2),$sum(sK2,1)) | spl8_78),
% 32.39/5.02 inference(avatar_component_clause,[],[f641])).
% 32.39/5.02 tff(f6878,plain,(
% 32.39/5.02 spl8_801 | spl8_6 | spl8_204),
% 32.39/5.02 inference(avatar_split_clause,[],[f6539,f1679,f173,f6875])).
% 32.39/5.02 tff(f6875,plain,(
% 32.39/5.02 spl8_801 <=> $less($product(4,x2),$sum($product(x2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_801])])).
% 32.39/5.02 tff(f1679,plain,(
% 32.39/5.02 spl8_204 <=> $less(x2,4)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_204])])).
% 32.39/5.02 tff(f6539,plain,(
% 32.39/5.02 $less($product(4,x2),$sum($product(x2,x2),1)) | (spl8_6 | spl8_204)),
% 32.39/5.02 inference(resolution,[],[f1159,f1681])).
% 32.39/5.02 tff(f1681,plain,(
% 32.39/5.02 ~$less(x2,4) | spl8_204),
% 32.39/5.02 inference(avatar_component_clause,[],[f1679])).
% 32.39/5.02 tff(f6873,plain,(
% 32.39/5.02 spl8_800 | spl8_6 | spl8_89),
% 32.39/5.02 inference(avatar_split_clause,[],[f6618,f738,f173,f6870])).
% 32.39/5.02 tff(f6870,plain,(
% 32.39/5.02 spl8_800 <=> $less(x2,$sum($product($sum(sK2,1),x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_800])])).
% 32.39/5.02 tff(f738,plain,(
% 32.39/5.02 spl8_89 <=> $less($sum(sK2,1),1)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_89])])).
% 32.39/5.02 tff(f6618,plain,(
% 32.39/5.02 $less(x2,$sum($product($sum(sK2,1),x2),1)) | (spl8_6 | spl8_89)),
% 32.39/5.02 inference(evaluation,[],[f6592])).
% 32.39/5.02 tff(f6592,plain,(
% 32.39/5.02 $less($product(1,x2),$sum($product($sum(sK2,1),x2),1)) | (spl8_6 | spl8_89)),
% 32.39/5.02 inference(resolution,[],[f1159,f740])).
% 32.39/5.02 tff(f740,plain,(
% 32.39/5.02 ~$less($sum(sK2,1),1) | spl8_89),
% 32.39/5.02 inference(avatar_component_clause,[],[f738])).
% 32.39/5.02 tff(f6868,plain,(
% 32.39/5.02 spl8_799 | spl8_6 | spl8_87),
% 32.39/5.02 inference(avatar_split_clause,[],[f6619,f712,f173,f6865])).
% 32.39/5.02 tff(f6865,plain,(
% 32.39/5.02 spl8_799 <=> $less(x2,$sum($product($uminus(x2),x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_799])])).
% 32.39/5.02 tff(f712,plain,(
% 32.39/5.02 spl8_87 <=> $less($uminus(x2),1)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_87])])).
% 32.39/5.02 tff(f6619,plain,(
% 32.39/5.02 $less(x2,$sum($product($uminus(x2),x2),1)) | (spl8_6 | spl8_87)),
% 32.39/5.02 inference(evaluation,[],[f6580])).
% 32.39/5.02 tff(f6580,plain,(
% 32.39/5.02 $less($product(1,x2),$sum($product($uminus(x2),x2),1)) | (spl8_6 | spl8_87)),
% 32.39/5.02 inference(resolution,[],[f1159,f714])).
% 32.39/5.02 tff(f714,plain,(
% 32.39/5.02 ~$less($uminus(x2),1) | spl8_87),
% 32.39/5.02 inference(avatar_component_clause,[],[f712])).
% 32.39/5.02 tff(f6863,plain,(
% 32.39/5.02 spl8_798 | spl8_6 | spl8_298),
% 32.39/5.02 inference(avatar_split_clause,[],[f6541,f2433,f173,f6860])).
% 32.39/5.02 tff(f6860,plain,(
% 32.39/5.02 spl8_798 <=> $less($product(5,x2),$sum($product(x2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_798])])).
% 32.39/5.02 tff(f2433,plain,(
% 32.39/5.02 spl8_298 <=> $less(x2,5)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_298])])).
% 32.39/5.02 tff(f6541,plain,(
% 32.39/5.02 $less($product(5,x2),$sum($product(x2,x2),1)) | (spl8_6 | spl8_298)),
% 32.39/5.02 inference(resolution,[],[f1159,f2435])).
% 32.39/5.02 tff(f2435,plain,(
% 32.39/5.02 ~$less(x2,5) | spl8_298),
% 32.39/5.02 inference(avatar_component_clause,[],[f2433])).
% 32.39/5.02 tff(f6858,plain,(
% 32.39/5.02 spl8_797 | spl8_6 | spl8_504),
% 32.39/5.02 inference(avatar_split_clause,[],[f6614,f4375,f173,f6855])).
% 32.39/5.02 tff(f6855,plain,(
% 32.39/5.02 spl8_797 <=> $less($product(10,x2),$sum($product(sK2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_797])])).
% 32.39/5.02 tff(f4375,plain,(
% 32.39/5.02 spl8_504 <=> $less(sK2,10)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_504])])).
% 32.39/5.02 tff(f6614,plain,(
% 32.39/5.02 $less($product(10,x2),$sum($product(sK2,x2),1)) | (spl8_6 | spl8_504)),
% 32.39/5.02 inference(resolution,[],[f1159,f4377])).
% 32.39/5.02 tff(f4377,plain,(
% 32.39/5.02 ~$less(sK2,10) | spl8_504),
% 32.39/5.02 inference(avatar_component_clause,[],[f4375])).
% 32.39/5.02 tff(f6853,plain,(
% 32.39/5.02 spl8_796 | spl8_6 | spl8_189),
% 32.39/5.02 inference(avatar_split_clause,[],[f6607,f1573,f173,f6850])).
% 32.39/5.02 tff(f6850,plain,(
% 32.39/5.02 spl8_796 <=> $less($product(4,x2),$sum($product(sK2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_796])])).
% 32.39/5.02 tff(f1573,plain,(
% 32.39/5.02 spl8_189 <=> $less(sK2,4)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_189])])).
% 32.39/5.02 tff(f6607,plain,(
% 32.39/5.02 $less($product(4,x2),$sum($product(sK2,x2),1)) | (spl8_6 | spl8_189)),
% 32.39/5.02 inference(resolution,[],[f1159,f1575])).
% 32.39/5.02 tff(f1575,plain,(
% 32.39/5.02 ~$less(sK2,4) | spl8_189),
% 32.39/5.02 inference(avatar_component_clause,[],[f1573])).
% 32.39/5.02 tff(f6848,plain,(
% 32.39/5.02 spl8_795 | spl8_6 | spl8_30),
% 32.39/5.02 inference(avatar_split_clause,[],[f6620,f317,f173,f6845])).
% 32.39/5.02 tff(f6845,plain,(
% 32.39/5.02 spl8_795 <=> $less(x2,$sum($product(sK2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_795])])).
% 32.39/5.02 tff(f317,plain,(
% 32.39/5.02 spl8_30 <=> $less(sK2,1)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_30])])).
% 32.39/5.02 tff(f6620,plain,(
% 32.39/5.02 $less(x2,$sum($product(sK2,x2),1)) | (spl8_6 | spl8_30)),
% 32.39/5.02 inference(evaluation,[],[f6605])).
% 32.39/5.02 tff(f6605,plain,(
% 32.39/5.02 $less($product(1,x2),$sum($product(sK2,x2),1)) | (spl8_6 | spl8_30)),
% 32.39/5.02 inference(resolution,[],[f1159,f319])).
% 32.39/5.02 tff(f319,plain,(
% 32.39/5.02 ~$less(sK2,1) | spl8_30),
% 32.39/5.02 inference(avatar_component_clause,[],[f317])).
% 32.39/5.02 tff(f6843,plain,(
% 32.39/5.02 spl8_794 | spl8_6 | spl8_626),
% 32.39/5.02 inference(avatar_split_clause,[],[f6549,f5519,f173,f6840])).
% 32.39/5.02 tff(f6840,plain,(
% 32.39/5.02 spl8_794 <=> $less($product(13,x2),$sum($product(x2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_794])])).
% 32.39/5.02 tff(f5519,plain,(
% 32.39/5.02 spl8_626 <=> $less(x2,13)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_626])])).
% 32.39/5.02 tff(f6549,plain,(
% 32.39/5.02 $less($product(13,x2),$sum($product(x2,x2),1)) | (spl8_6 | spl8_626)),
% 32.39/5.02 inference(resolution,[],[f1159,f5521])).
% 32.39/5.02 tff(f5521,plain,(
% 32.39/5.02 ~$less(x2,13) | spl8_626),
% 32.39/5.02 inference(avatar_component_clause,[],[f5519])).
% 32.39/5.02 tff(f6838,plain,(
% 32.39/5.02 spl8_793 | spl8_6 | spl8_110),
% 32.39/5.02 inference(avatar_split_clause,[],[f6568,f903,f173,f6835])).
% 32.39/5.02 tff(f6835,plain,(
% 32.39/5.02 spl8_793 <=> $less($product(sK2,x2),$sum($product(abs(sK2),x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_793])])).
% 32.39/5.02 tff(f903,plain,(
% 32.39/5.02 spl8_110 <=> $less(abs(sK2),sK2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_110])])).
% 32.39/5.02 tff(f6568,plain,(
% 32.39/5.02 $less($product(sK2,x2),$sum($product(abs(sK2),x2),1)) | (spl8_6 | spl8_110)),
% 32.39/5.02 inference(resolution,[],[f1159,f905])).
% 32.39/5.02 tff(f905,plain,(
% 32.39/5.02 ~$less(abs(sK2),sK2) | spl8_110),
% 32.39/5.02 inference(avatar_component_clause,[],[f903])).
% 32.39/5.02 tff(f6833,plain,(
% 32.39/5.02 spl8_792 | spl8_6 | spl8_73),
% 32.39/5.02 inference(avatar_split_clause,[],[f6564,f610,f173,f6830])).
% 32.39/5.02 tff(f6830,plain,(
% 32.39/5.02 spl8_792 <=> $less($product($sum(x2,1),x2),$sum($product(abs(sK2),x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_792])])).
% 32.39/5.02 tff(f610,plain,(
% 32.39/5.02 spl8_73 <=> $less(abs(sK2),$sum(x2,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_73])])).
% 32.39/5.02 tff(f6564,plain,(
% 32.39/5.02 $less($product($sum(x2,1),x2),$sum($product(abs(sK2),x2),1)) | (spl8_6 | spl8_73)),
% 32.39/5.02 inference(resolution,[],[f1159,f611])).
% 32.39/5.02 tff(f611,plain,(
% 32.39/5.02 ~$less(abs(sK2),$sum(x2,1)) | spl8_73),
% 32.39/5.02 inference(avatar_component_clause,[],[f610])).
% 32.39/5.02 tff(f6828,plain,(
% 32.39/5.02 spl8_791 | spl8_6 | spl8_609),
% 32.39/5.02 inference(avatar_split_clause,[],[f6616,f5360,f173,f6825])).
% 32.39/5.02 tff(f6825,plain,(
% 32.39/5.02 spl8_791 <=> $less($product(12,x2),$sum($product(sK2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_791])])).
% 32.39/5.02 tff(f5360,plain,(
% 32.39/5.02 spl8_609 <=> $less(sK2,12)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_609])])).
% 32.39/5.02 tff(f6616,plain,(
% 32.39/5.02 $less($product(12,x2),$sum($product(sK2,x2),1)) | (spl8_6 | spl8_609)),
% 32.39/5.02 inference(resolution,[],[f1159,f5362])).
% 32.39/5.02 tff(f5362,plain,(
% 32.39/5.02 ~$less(sK2,12) | spl8_609),
% 32.39/5.02 inference(avatar_component_clause,[],[f5360])).
% 32.39/5.02 tff(f6823,plain,(
% 32.39/5.02 spl8_790 | spl8_6 | spl8_66),
% 32.39/5.02 inference(avatar_split_clause,[],[f6621,f551,f173,f6820])).
% 32.39/5.02 tff(f6820,plain,(
% 32.39/5.02 spl8_790 <=> $less(x2,$sum($product($uminus(sK2),x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_790])])).
% 32.39/5.02 tff(f551,plain,(
% 32.39/5.02 spl8_66 <=> $less($uminus(sK2),1)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_66])])).
% 32.39/5.02 tff(f6621,plain,(
% 32.39/5.02 $less(x2,$sum($product($uminus(sK2),x2),1)) | (spl8_6 | spl8_66)),
% 32.39/5.02 inference(evaluation,[],[f6579])).
% 32.39/5.02 tff(f6579,plain,(
% 32.39/5.02 $less($product(1,x2),$sum($product($uminus(sK2),x2),1)) | (spl8_6 | spl8_66)),
% 32.39/5.02 inference(resolution,[],[f1159,f553])).
% 32.39/5.02 tff(f553,plain,(
% 32.39/5.02 ~$less($uminus(sK2),1) | spl8_66),
% 32.39/5.02 inference(avatar_component_clause,[],[f551])).
% 32.39/5.02 tff(f6818,plain,(
% 32.39/5.02 spl8_789 | spl8_6 | spl8_329),
% 32.39/5.02 inference(avatar_split_clause,[],[f6610,f2705,f173,f6815])).
% 32.39/5.02 tff(f6815,plain,(
% 32.39/5.02 spl8_789 <=> $less($product(6,x2),$sum($product(sK2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_789])])).
% 32.39/5.02 tff(f2705,plain,(
% 32.39/5.02 spl8_329 <=> $less(sK2,6)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_329])])).
% 32.39/5.02 tff(f6610,plain,(
% 32.39/5.02 $less($product(6,x2),$sum($product(sK2,x2),1)) | (spl8_6 | spl8_329)),
% 32.39/5.02 inference(resolution,[],[f1159,f2707])).
% 32.39/5.02 tff(f2707,plain,(
% 32.39/5.02 ~$less(sK2,6) | spl8_329),
% 32.39/5.02 inference(avatar_component_clause,[],[f2705])).
% 32.39/5.02 tff(f6813,plain,(
% 32.39/5.02 spl8_788 | spl8_6 | spl8_7),
% 32.39/5.02 inference(avatar_split_clause,[],[f6598,f178,f173,f6810])).
% 32.39/5.02 tff(f6810,plain,(
% 32.39/5.02 spl8_788 <=> $less($product($product(2,$sum(y2,$uminus(x2))),x2),$sum($product(sK0,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_788])])).
% 32.39/5.02 tff(f178,plain,(
% 32.39/5.02 spl8_7 <=> $less(sK0,$product(2,$sum(y2,$uminus(x2))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_7])])).
% 32.39/5.02 tff(f6598,plain,(
% 32.39/5.02 $less($product($product(2,$sum(y2,$uminus(x2))),x2),$sum($product(sK0,x2),1)) | (spl8_6 | spl8_7)),
% 32.39/5.02 inference(resolution,[],[f1159,f180])).
% 32.39/5.02 tff(f180,plain,(
% 32.39/5.02 ~$less(sK0,$product(2,$sum(y2,$uminus(x2)))) | spl8_7),
% 32.39/5.02 inference(avatar_component_clause,[],[f178])).
% 32.39/5.02 tff(f6808,plain,(
% 32.39/5.02 spl8_787 | spl8_6 | spl8_129),
% 32.39/5.02 inference(avatar_split_clause,[],[f6562,f1065,f173,f6805])).
% 32.39/5.02 tff(f6805,plain,(
% 32.39/5.02 spl8_787 <=> $less($product($sum(sK0,1),x2),$sum($product(abs($product(2,$sum(y2,$uminus(x2)))),x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_787])])).
% 32.39/5.02 tff(f1065,plain,(
% 32.39/5.02 spl8_129 <=> $less(abs($product(2,$sum(y2,$uminus(x2)))),$sum(sK0,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_129])])).
% 32.39/5.02 tff(f6562,plain,(
% 32.39/5.02 $less($product($sum(sK0,1),x2),$sum($product(abs($product(2,$sum(y2,$uminus(x2)))),x2),1)) | (spl8_6 | spl8_129)),
% 32.39/5.02 inference(resolution,[],[f1159,f1066])).
% 32.39/5.02 tff(f1066,plain,(
% 32.39/5.02 ~$less(abs($product(2,$sum(y2,$uminus(x2)))),$sum(sK0,1)) | spl8_129),
% 32.39/5.02 inference(avatar_component_clause,[],[f1065])).
% 32.39/5.02 tff(f6803,plain,(
% 32.39/5.02 spl8_786 | spl8_6 | spl8_33),
% 32.39/5.02 inference(avatar_split_clause,[],[f6622,f344,f173,f6800])).
% 32.39/5.02 tff(f6800,plain,(
% 32.39/5.02 spl8_786 <=> $less(x2,$sum($product(x2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_786])])).
% 32.39/5.02 tff(f344,plain,(
% 32.39/5.02 spl8_33 <=> $less(x2,1)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_33])])).
% 32.39/5.02 tff(f6622,plain,(
% 32.39/5.02 $less(x2,$sum($product(x2,x2),1)) | (spl8_6 | spl8_33)),
% 32.39/5.02 inference(evaluation,[],[f6535])).
% 32.39/5.02 tff(f6535,plain,(
% 32.39/5.02 $less($product(1,x2),$sum($product(x2,x2),1)) | (spl8_6 | spl8_33)),
% 32.39/5.02 inference(resolution,[],[f1159,f346])).
% 32.39/5.02 tff(f346,plain,(
% 32.39/5.02 ~$less(x2,1) | spl8_33),
% 32.39/5.02 inference(avatar_component_clause,[],[f344])).
% 32.39/5.02 tff(f6798,plain,(
% 32.39/5.02 spl8_785 | spl8_6 | spl8_120),
% 32.39/5.02 inference(avatar_split_clause,[],[f6595,f995,f173,f6795])).
% 32.39/5.02 tff(f6795,plain,(
% 32.39/5.02 spl8_785 <=> $less($product($sum(sK0,1),x2),$sum($product($sum($product(2,y2),1),x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_785])])).
% 32.39/5.02 tff(f995,plain,(
% 32.39/5.02 spl8_120 <=> $less($sum($product(2,y2),1),$sum(sK0,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_120])])).
% 32.39/5.02 tff(f6595,plain,(
% 32.39/5.02 $less($product($sum(sK0,1),x2),$sum($product($sum($product(2,y2),1),x2),1)) | (spl8_6 | spl8_120)),
% 32.39/5.02 inference(resolution,[],[f1159,f997])).
% 32.39/5.02 tff(f997,plain,(
% 32.39/5.02 ~$less($sum($product(2,y2),1),$sum(sK0,1)) | spl8_120),
% 32.39/5.02 inference(avatar_component_clause,[],[f995])).
% 32.39/5.02 tff(f6793,plain,(
% 32.39/5.02 spl8_784 | spl8_6 | spl8_116),
% 32.39/5.02 inference(avatar_split_clause,[],[f6563,f955,f173,f6790])).
% 32.39/5.02 tff(f6790,plain,(
% 32.39/5.02 spl8_784 <=> $less($product($sum($product(2,y2),1),x2),$sum($product(abs(sK0),x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_784])])).
% 32.39/5.02 tff(f955,plain,(
% 32.39/5.02 spl8_116 <=> $less(abs(sK0),$sum($product(2,y2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_116])])).
% 32.39/5.02 tff(f6563,plain,(
% 32.39/5.02 $less($product($sum($product(2,y2),1),x2),$sum($product(abs(sK0),x2),1)) | (spl8_6 | spl8_116)),
% 32.39/5.02 inference(resolution,[],[f1159,f956])).
% 32.39/5.02 tff(f956,plain,(
% 32.39/5.02 ~$less(abs(sK0),$sum($product(2,y2),1)) | spl8_116),
% 32.39/5.02 inference(avatar_component_clause,[],[f955])).
% 32.39/5.02 tff(f6788,plain,(
% 32.39/5.02 spl8_783 | spl8_6 | spl8_332),
% 32.39/5.02 inference(avatar_split_clause,[],[f6542,f2733,f173,f6785])).
% 32.39/5.02 tff(f6785,plain,(
% 32.39/5.02 spl8_783 <=> $less($product(6,x2),$sum($product(x2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_783])])).
% 32.39/5.02 tff(f2733,plain,(
% 32.39/5.02 spl8_332 <=> $less(x2,6)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_332])])).
% 32.39/5.02 tff(f6542,plain,(
% 32.39/5.02 $less($product(6,x2),$sum($product(x2,x2),1)) | (spl8_6 | spl8_332)),
% 32.39/5.02 inference(resolution,[],[f1159,f2735])).
% 32.39/5.02 tff(f2735,plain,(
% 32.39/5.02 ~$less(x2,6) | spl8_332),
% 32.39/5.02 inference(avatar_component_clause,[],[f2733])).
% 32.39/5.02 tff(f6783,plain,(
% 32.39/5.02 spl8_782 | spl8_6 | spl8_122),
% 32.39/5.02 inference(avatar_split_clause,[],[f6511,f1020,f173,f6780])).
% 32.39/5.02 tff(f6780,plain,(
% 32.39/5.02 spl8_782 <=> $less($product(sK0,x2),$sum($product(0,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_782])])).
% 32.39/5.02 tff(f1020,plain,(
% 32.39/5.02 spl8_122 <=> $less(0,sK0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_122])])).
% 32.39/5.02 tff(f6511,plain,(
% 32.39/5.02 $less($product(sK0,x2),$sum($product(0,x2),1)) | (spl8_6 | spl8_122)),
% 32.39/5.02 inference(resolution,[],[f1159,f1022])).
% 32.39/5.02 tff(f1022,plain,(
% 32.39/5.02 ~$less(0,sK0) | spl8_122),
% 32.39/5.02 inference(avatar_component_clause,[],[f1020])).
% 32.39/5.02 tff(f6778,plain,(
% 32.39/5.02 spl8_781 | spl8_6 | spl8_117),
% 32.39/5.02 inference(avatar_split_clause,[],[f6582,f966,f173,f6775])).
% 32.39/5.02 tff(f6775,plain,(
% 32.39/5.02 spl8_781 <=> $less($product($sum(sK0,1),x2),$sum($product($uminus($product(2,y2)),x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_781])])).
% 32.39/5.02 tff(f966,plain,(
% 32.39/5.02 spl8_117 <=> $less($uminus($product(2,y2)),$sum(sK0,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_117])])).
% 32.39/5.02 tff(f6582,plain,(
% 32.39/5.02 $less($product($sum(sK0,1),x2),$sum($product($uminus($product(2,y2)),x2),1)) | (spl8_6 | spl8_117)),
% 32.39/5.02 inference(resolution,[],[f1159,f968])).
% 32.39/5.02 tff(f968,plain,(
% 32.39/5.02 ~$less($uminus($product(2,y2)),$sum(sK0,1)) | spl8_117),
% 32.39/5.02 inference(avatar_component_clause,[],[f966])).
% 32.39/5.02 tff(f6773,plain,(
% 32.39/5.02 spl8_780 | spl8_6 | spl8_31),
% 32.39/5.02 inference(avatar_split_clause,[],[f6536,f327,f173,f6770])).
% 32.39/5.02 tff(f6770,plain,(
% 32.39/5.02 spl8_780 <=> $less($product($sum(sK2,1),x2),$sum($product(x2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_780])])).
% 32.39/5.02 tff(f327,plain,(
% 32.39/5.02 spl8_31 <=> $less(x2,$sum(sK2,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_31])])).
% 32.39/5.02 tff(f6536,plain,(
% 32.39/5.02 $less($product($sum(sK2,1),x2),$sum($product(x2,x2),1)) | (spl8_6 | spl8_31)),
% 32.39/5.02 inference(resolution,[],[f1159,f329])).
% 32.39/5.02 tff(f329,plain,(
% 32.39/5.02 ~$less(x2,$sum(sK2,1)) | spl8_31),
% 32.39/5.02 inference(avatar_component_clause,[],[f327])).
% 32.39/5.02 tff(f6768,plain,(
% 32.39/5.02 spl8_779 | spl8_2 | spl8_6),
% 32.39/5.02 inference(avatar_split_clause,[],[f6603,f173,f153,f6765])).
% 32.39/5.02 tff(f6765,plain,(
% 32.39/5.02 spl8_779 <=> $less($product(0,x2),$sum($product(sK2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_779])])).
% 32.39/5.02 tff(f6603,plain,(
% 32.39/5.02 $less($product(0,x2),$sum($product(sK2,x2),1)) | (spl8_2 | spl8_6)),
% 32.39/5.02 inference(resolution,[],[f1159,f155])).
% 32.39/5.02 tff(f6763,plain,(
% 32.39/5.02 spl8_778 | spl8_6 | spl8_507),
% 32.39/5.02 inference(avatar_split_clause,[],[f6546,f4396,f173,f6760])).
% 32.39/5.02 tff(f6760,plain,(
% 32.39/5.02 spl8_778 <=> $less($product(10,x2),$sum($product(x2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_778])])).
% 32.39/5.02 tff(f4396,plain,(
% 32.39/5.02 spl8_507 <=> $less(x2,10)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_507])])).
% 32.39/5.02 tff(f6546,plain,(
% 32.39/5.02 $less($product(10,x2),$sum($product(x2,x2),1)) | (spl8_6 | spl8_507)),
% 32.39/5.02 inference(resolution,[],[f1159,f4398])).
% 32.39/5.02 tff(f4398,plain,(
% 32.39/5.02 ~$less(x2,10) | spl8_507),
% 32.39/5.02 inference(avatar_component_clause,[],[f4396])).
% 32.39/5.02 tff(f6758,plain,(
% 32.39/5.02 spl8_777 | spl8_6 | spl8_103),
% 32.39/5.02 inference(avatar_split_clause,[],[f6576,f848,f173,f6755])).
% 32.39/5.02 tff(f6755,plain,(
% 32.39/5.02 spl8_777 <=> $less($product(0,x2),$sum($product($uminus(x2),x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_777])])).
% 32.39/5.02 tff(f848,plain,(
% 32.39/5.02 spl8_103 <=> $less($uminus(x2),0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_103])])).
% 32.39/5.02 tff(f6576,plain,(
% 32.39/5.02 $less($product(0,x2),$sum($product($uminus(x2),x2),1)) | (spl8_6 | spl8_103)),
% 32.39/5.02 inference(resolution,[],[f1159,f850])).
% 32.39/5.02 tff(f850,plain,(
% 32.39/5.02 ~$less($uminus(x2),0) | spl8_103),
% 32.39/5.02 inference(avatar_component_clause,[],[f848])).
% 32.39/5.02 tff(f6753,plain,(
% 32.39/5.02 spl8_776 | spl8_6 | spl8_60),
% 32.39/5.02 inference(avatar_split_clause,[],[f6560,f515,f173,f6750])).
% 32.39/5.02 tff(f6750,plain,(
% 32.39/5.02 spl8_776 <=> $less($product($sum(sK2,1),x2),$sum($product(abs(0),x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_776])])).
% 32.39/5.02 tff(f515,plain,(
% 32.39/5.02 spl8_60 <=> $less(abs(0),$sum(sK2,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_60])])).
% 32.39/5.02 tff(f6560,plain,(
% 32.39/5.02 $less($product($sum(sK2,1),x2),$sum($product(abs(0),x2),1)) | (spl8_6 | spl8_60)),
% 32.39/5.02 inference(resolution,[],[f1159,f516])).
% 32.39/5.02 tff(f516,plain,(
% 32.39/5.02 ~$less(abs(0),$sum(sK2,1)) | spl8_60),
% 32.39/5.02 inference(avatar_component_clause,[],[f515])).
% 32.39/5.02 tff(f6748,plain,(
% 32.39/5.02 spl8_775 | spl8_3 | spl8_6),
% 32.39/5.02 inference(avatar_split_clause,[],[f6538,f173,f158,f6745])).
% 32.39/5.02 tff(f6745,plain,(
% 32.39/5.02 spl8_775 <=> $less($product(sK2,x2),$sum($product(x2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_775])])).
% 32.39/5.02 tff(f6538,plain,(
% 32.39/5.02 $less($product(sK2,x2),$sum($product(x2,x2),1)) | (spl8_3 | spl8_6)),
% 32.39/5.02 inference(resolution,[],[f1159,f160])).
% 32.39/5.02 tff(f6743,plain,(
% 32.39/5.02 spl8_774 | spl8_6 | spl8_367),
% 32.39/5.02 inference(avatar_split_clause,[],[f6543,f3052,f173,f6740])).
% 32.39/5.02 tff(f6740,plain,(
% 32.39/5.02 spl8_774 <=> $less($product(7,x2),$sum($product(x2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_774])])).
% 32.39/5.02 tff(f3052,plain,(
% 32.39/5.02 spl8_367 <=> $less(x2,7)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_367])])).
% 32.39/5.02 tff(f6543,plain,(
% 32.39/5.02 $less($product(7,x2),$sum($product(x2,x2),1)) | (spl8_6 | spl8_367)),
% 32.39/5.02 inference(resolution,[],[f1159,f3054])).
% 32.39/5.02 tff(f3054,plain,(
% 32.39/5.02 ~$less(x2,7) | spl8_367),
% 32.39/5.02 inference(avatar_component_clause,[],[f3052])).
% 32.39/5.02 tff(f6738,plain,(
% 32.39/5.02 spl8_773 | spl8_6 | spl8_358),
% 32.39/5.02 inference(avatar_split_clause,[],[f6611,f2961,f173,f6735])).
% 32.39/5.02 tff(f6735,plain,(
% 32.39/5.02 spl8_773 <=> $less($product(7,x2),$sum($product(sK2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_773])])).
% 32.39/5.02 tff(f2961,plain,(
% 32.39/5.02 spl8_358 <=> $less(sK2,7)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_358])])).
% 32.39/5.02 tff(f6611,plain,(
% 32.39/5.02 $less($product(7,x2),$sum($product(sK2,x2),1)) | (spl8_6 | spl8_358)),
% 32.39/5.02 inference(resolution,[],[f1159,f2963])).
% 32.39/5.02 tff(f2963,plain,(
% 32.39/5.02 ~$less(sK2,7) | spl8_358),
% 32.39/5.02 inference(avatar_component_clause,[],[f2961])).
% 32.39/5.02 tff(f6733,plain,(
% 32.39/5.02 spl8_772 | spl8_6 | spl8_92),
% 32.39/5.02 inference(avatar_split_clause,[],[f6623,f767,f173,f6730])).
% 32.39/5.02 tff(f6730,plain,(
% 32.39/5.02 spl8_772 <=> $less(x2,$sum($product($sum(x2,1),x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_772])])).
% 32.39/5.02 tff(f767,plain,(
% 32.39/5.02 spl8_92 <=> $less($sum(x2,1),1)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_92])])).
% 32.39/5.02 tff(f6623,plain,(
% 32.39/5.02 $less(x2,$sum($product($sum(x2,1),x2),1)) | (spl8_6 | spl8_92)),
% 32.39/5.02 inference(evaluation,[],[f6593])).
% 32.39/5.02 tff(f6593,plain,(
% 32.39/5.02 $less($product(1,x2),$sum($product($sum(x2,1),x2),1)) | (spl8_6 | spl8_92)),
% 32.39/5.02 inference(resolution,[],[f1159,f769])).
% 32.39/5.02 tff(f769,plain,(
% 32.39/5.02 ~$less($sum(x2,1),1) | spl8_92),
% 32.39/5.02 inference(avatar_component_clause,[],[f767])).
% 32.39/5.02 tff(f6728,plain,(
% 32.39/5.02 spl8_771 | spl8_6 | spl8_130),
% 32.39/5.02 inference(avatar_split_clause,[],[f6566,f1070,f173,f6725])).
% 32.39/5.02 tff(f6725,plain,(
% 32.39/5.02 spl8_771 <=> $less($product(sK0,x2),$sum($product(abs($product(2,$sum(y2,$uminus(x2)))),x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_771])])).
% 32.39/5.02 tff(f1070,plain,(
% 32.39/5.02 spl8_130 <=> $less(abs($product(2,$sum(y2,$uminus(x2)))),sK0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_130])])).
% 32.39/5.02 tff(f6566,plain,(
% 32.39/5.02 $less($product(sK0,x2),$sum($product(abs($product(2,$sum(y2,$uminus(x2)))),x2),1)) | (spl8_6 | spl8_130)),
% 32.39/5.02 inference(resolution,[],[f1159,f1071])).
% 32.39/5.02 tff(f1071,plain,(
% 32.39/5.02 ~$less(abs($product(2,$sum(y2,$uminus(x2)))),sK0) | spl8_130),
% 32.39/5.02 inference(avatar_component_clause,[],[f1070])).
% 32.39/5.02 tff(f6723,plain,(
% 32.39/5.02 spl8_770 | spl8_6 | spl8_81),
% 32.39/5.02 inference(avatar_split_clause,[],[f6558,f674,f173,f6720])).
% 32.39/5.02 tff(f6720,plain,(
% 32.39/5.02 spl8_770 <=> $less($product(x2,x2),$sum($product(abs(0),x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_770])])).
% 32.39/5.02 tff(f674,plain,(
% 32.39/5.02 spl8_81 <=> $less(abs(0),x2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_81])])).
% 32.39/5.02 tff(f6558,plain,(
% 32.39/5.02 $less($product(x2,x2),$sum($product(abs(0),x2),1)) | (spl8_6 | spl8_81)),
% 32.39/5.02 inference(resolution,[],[f1159,f675])).
% 32.39/5.02 tff(f675,plain,(
% 32.39/5.02 ~$less(abs(0),x2) | spl8_81),
% 32.39/5.02 inference(avatar_component_clause,[],[f674])).
% 32.39/5.02 tff(f6718,plain,(
% 32.39/5.02 spl8_769 | spl8_6 | spl8_296),
% 32.39/5.02 inference(avatar_split_clause,[],[f6609,f2417,f173,f6715])).
% 32.39/5.02 tff(f6715,plain,(
% 32.39/5.02 spl8_769 <=> $less($product(5,x2),$sum($product(sK2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_769])])).
% 32.39/5.02 tff(f2417,plain,(
% 32.39/5.02 spl8_296 <=> $less(sK2,5)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_296])])).
% 32.39/5.02 tff(f6609,plain,(
% 32.39/5.02 $less($product(5,x2),$sum($product(sK2,x2),1)) | (spl8_6 | spl8_296)),
% 32.39/5.02 inference(resolution,[],[f1159,f2419])).
% 32.39/5.02 tff(f2419,plain,(
% 32.39/5.02 ~$less(sK2,5) | spl8_296),
% 32.39/5.02 inference(avatar_component_clause,[],[f2417])).
% 32.39/5.02 tff(f6713,plain,(
% 32.39/5.02 spl8_768 | spl8_6 | spl8_610),
% 32.39/5.02 inference(avatar_split_clause,[],[f6548,f5386,f173,f6710])).
% 32.39/5.02 tff(f6710,plain,(
% 32.39/5.02 spl8_768 <=> $less($product(12,x2),$sum($product(x2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_768])])).
% 32.39/5.02 tff(f5386,plain,(
% 32.39/5.02 spl8_610 <=> $less(x2,12)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_610])])).
% 32.39/5.02 tff(f6548,plain,(
% 32.39/5.02 $less($product(12,x2),$sum($product(x2,x2),1)) | (spl8_6 | spl8_610)),
% 32.39/5.02 inference(resolution,[],[f1159,f5388])).
% 32.39/5.02 tff(f5388,plain,(
% 32.39/5.02 ~$less(x2,12) | spl8_610),
% 32.39/5.02 inference(avatar_component_clause,[],[f5386])).
% 32.39/5.02 tff(f6708,plain,(
% 32.39/5.02 spl8_767 | spl8_6 | spl8_387),
% 32.39/5.02 inference(avatar_split_clause,[],[f6612,f3225,f173,f6705])).
% 32.39/5.02 tff(f6705,plain,(
% 32.39/5.02 spl8_767 <=> $less($product(8,x2),$sum($product(sK2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_767])])).
% 32.39/5.02 tff(f3225,plain,(
% 32.39/5.02 spl8_387 <=> $less(sK2,8)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_387])])).
% 32.39/5.02 tff(f6612,plain,(
% 32.39/5.02 $less($product(8,x2),$sum($product(sK2,x2),1)) | (spl8_6 | spl8_387)),
% 32.39/5.02 inference(resolution,[],[f1159,f3227])).
% 32.39/5.02 tff(f3227,plain,(
% 32.39/5.02 ~$less(sK2,8) | spl8_387),
% 32.39/5.02 inference(avatar_component_clause,[],[f3225])).
% 32.39/5.02 tff(f6703,plain,(
% 32.39/5.02 spl8_766 | spl8_6 | spl8_624),
% 32.39/5.02 inference(avatar_split_clause,[],[f6617,f5503,f173,f6700])).
% 32.39/5.02 tff(f6700,plain,(
% 32.39/5.02 spl8_766 <=> $less($product(13,x2),$sum($product(sK2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_766])])).
% 32.39/5.02 tff(f5503,plain,(
% 32.39/5.02 spl8_624 <=> $less(sK2,13)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_624])])).
% 32.39/5.02 tff(f6617,plain,(
% 32.39/5.02 $less($product(13,x2),$sum($product(sK2,x2),1)) | (spl8_6 | spl8_624)),
% 32.39/5.02 inference(resolution,[],[f1159,f5505])).
% 32.39/5.02 tff(f5505,plain,(
% 32.39/5.02 ~$less(sK2,13) | spl8_624),
% 32.39/5.02 inference(avatar_component_clause,[],[f5503])).
% 32.39/5.02 tff(f6698,plain,(
% 32.39/5.02 spl8_765 | spl8_6 | spl8_58),
% 32.39/5.02 inference(avatar_split_clause,[],[f6604,f496,f173,f6695])).
% 32.39/5.02 tff(f6695,plain,(
% 32.39/5.02 spl8_765 <=> $less($product(2,x2),$sum($product(sK2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_765])])).
% 32.39/5.02 tff(f496,plain,(
% 32.39/5.02 spl8_58 <=> $less(sK2,2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_58])])).
% 32.39/5.02 tff(f6604,plain,(
% 32.39/5.02 $less($product(2,x2),$sum($product(sK2,x2),1)) | (spl8_6 | spl8_58)),
% 32.39/5.02 inference(resolution,[],[f1159,f498])).
% 32.39/5.02 tff(f498,plain,(
% 32.39/5.02 ~$less(sK2,2) | spl8_58),
% 32.39/5.02 inference(avatar_component_clause,[],[f496])).
% 32.39/5.02 tff(f6693,plain,(
% 32.39/5.02 spl8_764 | spl8_6 | spl8_95),
% 32.39/5.02 inference(avatar_split_clause,[],[f6524,f787,f173,f6690])).
% 32.39/5.02 tff(f6690,plain,(
% 32.39/5.02 spl8_764 <=> $less($product($sum(sK0,1),x2),$sum($product($product(2,y2),x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_764])])).
% 32.39/5.02 tff(f787,plain,(
% 32.39/5.02 spl8_95 <=> $less($product(2,y2),$sum(sK0,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_95])])).
% 32.39/5.02 tff(f6524,plain,(
% 32.39/5.02 $less($product($sum(sK0,1),x2),$sum($product($product(2,y2),x2),1)) | (spl8_6 | spl8_95)),
% 32.39/5.02 inference(resolution,[],[f1159,f789])).
% 32.39/5.02 tff(f789,plain,(
% 32.39/5.02 ~$less($product(2,y2),$sum(sK0,1)) | spl8_95),
% 32.39/5.02 inference(avatar_component_clause,[],[f787])).
% 32.39/5.02 tff(f6688,plain,(
% 32.39/5.02 spl8_763 | spl8_6),
% 32.39/5.02 inference(avatar_split_clause,[],[f6532,f173,f6685])).
% 32.39/5.02 tff(f6685,plain,(
% 32.39/5.02 spl8_763 <=> $less($product(0,x2),$sum($product(x2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_763])])).
% 32.39/5.02 tff(f6532,plain,(
% 32.39/5.02 $less($product(0,x2),$sum($product(x2,x2),1)) | spl8_6),
% 32.39/5.02 inference(resolution,[],[f1159,f175])).
% 32.39/5.02 tff(f6683,plain,(
% 32.39/5.02 spl8_762 | spl8_6 | spl8_82),
% 32.39/5.02 inference(avatar_split_clause,[],[f6561,f679,f173,f6680])).
% 32.39/5.02 tff(f6680,plain,(
% 32.39/5.02 spl8_762 <=> $less($product($sum(x2,1),x2),$sum($product(abs(0),x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_762])])).
% 32.39/5.02 tff(f679,plain,(
% 32.39/5.02 spl8_82 <=> $less(abs(0),$sum(x2,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_82])])).
% 32.39/5.02 tff(f6561,plain,(
% 32.39/5.02 $less($product($sum(x2,1),x2),$sum($product(abs(0),x2),1)) | (spl8_6 | spl8_82)),
% 32.39/5.02 inference(resolution,[],[f1159,f680])).
% 32.39/5.02 tff(f680,plain,(
% 32.39/5.02 ~$less(abs(0),$sum(x2,1)) | spl8_82),
% 32.39/5.02 inference(avatar_component_clause,[],[f679])).
% 32.39/5.02 tff(f6678,plain,(
% 32.39/5.02 spl8_761 | spl8_6 | spl8_133),
% 32.39/5.02 inference(avatar_split_clause,[],[f6583,f1091,f173,f6675])).
% 32.39/5.02 tff(f6675,plain,(
% 32.39/5.02 spl8_761 <=> $less($product($sum($product(2,$sum(y2,$uminus(x2))),1),x2),$sum($product($uminus(sK0),x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_761])])).
% 32.39/5.02 tff(f1091,plain,(
% 32.39/5.02 spl8_133 <=> $less($uminus(sK0),$sum($product(2,$sum(y2,$uminus(x2))),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_133])])).
% 32.39/5.02 tff(f6583,plain,(
% 32.39/5.02 $less($product($sum($product(2,$sum(y2,$uminus(x2))),1),x2),$sum($product($uminus(sK0),x2),1)) | (spl8_6 | spl8_133)),
% 32.39/5.02 inference(resolution,[],[f1159,f1093])).
% 32.39/5.02 tff(f1093,plain,(
% 32.39/5.02 ~$less($uminus(sK0),$sum($product(2,$sum(y2,$uminus(x2))),1)) | spl8_133),
% 32.39/5.02 inference(avatar_component_clause,[],[f1091])).
% 32.39/5.02 tff(f6673,plain,(
% 32.39/5.02 spl8_760 | spl8_6 | spl8_434),
% 32.39/5.02 inference(avatar_split_clause,[],[f6545,f3738,f173,f6670])).
% 32.39/5.02 tff(f6670,plain,(
% 32.39/5.02 spl8_760 <=> $less($product(9,x2),$sum($product(x2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_760])])).
% 32.39/5.02 tff(f3738,plain,(
% 32.39/5.02 spl8_434 <=> $less(x2,9)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_434])])).
% 32.39/5.02 tff(f6545,plain,(
% 32.39/5.02 $less($product(9,x2),$sum($product(x2,x2),1)) | (spl8_6 | spl8_434)),
% 32.39/5.02 inference(resolution,[],[f1159,f3740])).
% 32.39/5.02 tff(f3740,plain,(
% 32.39/5.02 ~$less(x2,9) | spl8_434),
% 32.39/5.02 inference(avatar_component_clause,[],[f3738])).
% 32.39/5.02 tff(f6668,plain,(
% 32.39/5.02 spl8_759 | spl8_6 | spl8_156),
% 32.39/5.02 inference(avatar_split_clause,[],[f6608,f1325,f173,f6665])).
% 32.39/5.02 tff(f6665,plain,(
% 32.39/5.02 spl8_759 <=> $less($product(3,x2),$sum($product(sK2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_759])])).
% 32.39/5.02 tff(f1325,plain,(
% 32.39/5.02 spl8_156 <=> $less(sK2,3)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_156])])).
% 32.39/5.02 tff(f6608,plain,(
% 32.39/5.02 $less($product(3,x2),$sum($product(sK2,x2),1)) | (spl8_6 | spl8_156)),
% 32.39/5.02 inference(resolution,[],[f1159,f1327])).
% 32.39/5.02 tff(f1327,plain,(
% 32.39/5.02 ~$less(sK2,3) | spl8_156),
% 32.39/5.02 inference(avatar_component_clause,[],[f1325])).
% 32.39/5.02 tff(f6663,plain,(
% 32.39/5.02 spl8_758 | spl8_6),
% 32.39/5.02 inference(avatar_split_clause,[],[f6533,f173,f6660])).
% 32.39/5.02 tff(f6660,plain,(
% 32.39/5.02 spl8_758 <=> $less($product(y2,x2),$sum($product(x2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_758])])).
% 32.39/5.02 tff(f6533,plain,(
% 32.39/5.02 $less($product(y2,x2),$sum($product(x2,x2),1)) | spl8_6),
% 32.39/5.02 inference(resolution,[],[f1159,f91])).
% 32.39/5.02 tff(f91,plain,(
% 32.39/5.02 ~$less(x2,y2)),
% 32.39/5.02 inference(cnf_transformation,[],[f26])).
% 32.39/5.02 tff(f6658,plain,(
% 32.39/5.02 spl8_757 | spl8_6 | spl8_72),
% 32.39/5.02 inference(avatar_split_clause,[],[f6557,f605,f173,f6655])).
% 32.39/5.02 tff(f6655,plain,(
% 32.39/5.02 spl8_757 <=> $less($product(x2,x2),$sum($product(abs(sK2),x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_757])])).
% 32.39/5.02 tff(f605,plain,(
% 32.39/5.02 spl8_72 <=> $less(abs(sK2),x2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_72])])).
% 32.39/5.02 tff(f6557,plain,(
% 32.39/5.02 $less($product(x2,x2),$sum($product(abs(sK2),x2),1)) | (spl8_6 | spl8_72)),
% 32.39/5.02 inference(resolution,[],[f1159,f606])).
% 32.39/5.02 tff(f606,plain,(
% 32.39/5.02 ~$less(abs(sK2),x2) | spl8_72),
% 32.39/5.02 inference(avatar_component_clause,[],[f605])).
% 32.39/5.02 tff(f6653,plain,(
% 32.39/5.02 spl8_756 | spl8_6 | spl8_533),
% 32.39/5.02 inference(avatar_split_clause,[],[f6547,f4613,f173,f6650])).
% 32.39/5.02 tff(f6650,plain,(
% 32.39/5.02 spl8_756 <=> $less($product(11,x2),$sum($product(x2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_756])])).
% 32.39/5.02 tff(f4613,plain,(
% 32.39/5.02 spl8_533 <=> $less(x2,11)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_533])])).
% 32.39/5.02 tff(f6547,plain,(
% 32.39/5.02 $less($product(11,x2),$sum($product(x2,x2),1)) | (spl8_6 | spl8_533)),
% 32.39/5.02 inference(resolution,[],[f1159,f4615])).
% 32.39/5.02 tff(f4615,plain,(
% 32.39/5.02 ~$less(x2,11) | spl8_533),
% 32.39/5.02 inference(avatar_component_clause,[],[f4613])).
% 32.39/5.02 tff(f6648,plain,(
% 32.39/5.02 spl8_755 | spl8_4 | spl8_6),
% 32.39/5.02 inference(avatar_split_clause,[],[f6525,f173,f163,f6645])).
% 32.39/5.02 tff(f6645,plain,(
% 32.39/5.02 spl8_755 <=> $less($product(sK0,x2),$sum($product($product(2,y2),x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_755])])).
% 32.39/5.02 tff(f163,plain,(
% 32.39/5.02 spl8_4 <=> $less($product(2,y2),sK0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_4])])).
% 32.39/5.02 tff(f6525,plain,(
% 32.39/5.02 $less($product(sK0,x2),$sum($product($product(2,y2),x2),1)) | (spl8_4 | spl8_6)),
% 32.39/5.02 inference(resolution,[],[f1159,f165])).
% 32.39/5.02 tff(f165,plain,(
% 32.39/5.02 ~$less($product(2,y2),sK0) | spl8_4),
% 32.39/5.02 inference(avatar_component_clause,[],[f163])).
% 32.39/5.02 tff(f6643,plain,(
% 32.39/5.02 spl8_754 | spl8_6 | spl8_557),
% 32.39/5.02 inference(avatar_split_clause,[],[f6606,f4894,f173,f6640])).
% 32.39/5.02 tff(f6640,plain,(
% 32.39/5.02 spl8_754 <=> $less($product(sK0,x2),$sum($product(sK2,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_754])])).
% 32.39/5.02 tff(f4894,plain,(
% 32.39/5.02 spl8_557 <=> $less(sK2,sK0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_557])])).
% 32.39/5.02 tff(f6606,plain,(
% 32.39/5.02 $less($product(sK0,x2),$sum($product(sK2,x2),1)) | (spl8_6 | spl8_557)),
% 32.39/5.02 inference(resolution,[],[f1159,f4896])).
% 32.39/5.02 tff(f4896,plain,(
% 32.39/5.02 ~$less(sK2,sK0) | spl8_557),
% 32.39/5.02 inference(avatar_component_clause,[],[f4894])).
% 32.39/5.02 tff(f6638,plain,(
% 32.39/5.02 spl8_753 | spl8_6 | spl8_102),
% 32.39/5.02 inference(avatar_split_clause,[],[f6589,f843,f173,f6635])).
% 32.39/5.02 tff(f6635,plain,(
% 32.39/5.02 spl8_753 <=> $less($product(0,x2),$sum($product($sum(x2,1),x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_753])])).
% 32.39/5.02 tff(f843,plain,(
% 32.39/5.02 spl8_102 <=> $less($sum(x2,1),0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_102])])).
% 32.39/5.02 tff(f6589,plain,(
% 32.39/5.02 $less($product(0,x2),$sum($product($sum(x2,1),x2),1)) | (spl8_6 | spl8_102)),
% 32.39/5.02 inference(resolution,[],[f1159,f845])).
% 32.39/5.02 tff(f845,plain,(
% 32.39/5.02 ~$less($sum(x2,1),0) | spl8_102),
% 32.39/5.02 inference(avatar_component_clause,[],[f843])).
% 32.39/5.02 tff(f6633,plain,(
% 32.39/5.02 spl8_752 | spl8_6 | spl8_121),
% 32.39/5.02 inference(avatar_split_clause,[],[f6565,f1015,f173,f6630])).
% 32.39/5.02 tff(f6630,plain,(
% 32.39/5.02 spl8_752 <=> $less($product(sK0,x2),$sum($product(abs(sK0),x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_752])])).
% 32.39/5.02 tff(f1015,plain,(
% 32.39/5.02 spl8_121 <=> $less(abs(sK0),sK0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_121])])).
% 32.39/5.02 tff(f6565,plain,(
% 32.39/5.02 $less($product(sK0,x2),$sum($product(abs(sK0),x2),1)) | (spl8_6 | spl8_121)),
% 32.39/5.02 inference(resolution,[],[f1159,f1017])).
% 32.39/5.02 tff(f1017,plain,(
% 32.39/5.02 ~$less(abs(sK0),sK0) | spl8_121),
% 32.39/5.02 inference(avatar_component_clause,[],[f1015])).
% 32.39/5.02 tff(f6628,plain,(
% 32.39/5.02 spl8_751 | spl8_6 | spl8_126),
% 32.39/5.02 inference(avatar_split_clause,[],[f6599,f1043,f173,f6625])).
% 32.39/5.02 tff(f6625,plain,(
% 32.39/5.02 spl8_751 <=> $less($product($sum($product(2,$sum(y2,$uminus(x2))),1),x2),$sum($product(sK0,x2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_751])])).
% 32.39/5.02 tff(f1043,plain,(
% 32.39/5.02 spl8_126 <=> $less(sK0,$sum($product(2,$sum(y2,$uminus(x2))),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_126])])).
% 32.39/5.02 tff(f6599,plain,(
% 32.39/5.02 $less($product($sum($product(2,$sum(y2,$uminus(x2))),1),x2),$sum($product(sK0,x2),1)) | (spl8_6 | spl8_126)),
% 32.39/5.02 inference(resolution,[],[f1159,f1045])).
% 32.39/5.02 tff(f1045,plain,(
% 32.39/5.02 ~$less(sK0,$sum($product(2,$sum(y2,$uminus(x2))),1)) | spl8_126),
% 32.39/5.02 inference(avatar_component_clause,[],[f1043])).
% 32.39/5.02 tff(f6483,plain,(
% 32.39/5.02 spl8_550 | spl8_557),
% 32.39/5.02 inference(avatar_split_clause,[],[f6467,f4894,f4834])).
% 32.39/5.02 tff(f4834,plain,(
% 32.39/5.02 spl8_550 <=> $less(sK0,$sum(sK2,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_550])])).
% 32.39/5.02 tff(f6467,plain,(
% 32.39/5.02 $less(sK0,$sum(sK2,1)) | spl8_557),
% 32.39/5.02 inference(resolution,[],[f4896,f38])).
% 32.39/5.02 tff(f6482,plain,(
% 32.39/5.02 spl8_750 | spl8_2 | spl8_557),
% 32.39/5.02 inference(avatar_split_clause,[],[f6472,f4894,f153,f6479])).
% 32.39/5.02 tff(f6479,plain,(
% 32.39/5.02 spl8_750 <=> $less($product(sK0,sK2),$sum($product(sK2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_750])])).
% 32.39/5.02 tff(f6472,plain,(
% 32.39/5.02 $less($product(sK0,sK2),$sum($product(sK2,sK2),1)) | (spl8_2 | spl8_557)),
% 32.39/5.02 inference(resolution,[],[f4896,f1109])).
% 32.39/5.02 tff(f6477,plain,(
% 32.39/5.02 spl8_547 | ~spl8_749 | spl8_557),
% 32.39/5.02 inference(avatar_split_clause,[],[f6468,f4894,f6474,f4819])).
% 32.39/5.02 tff(f4819,plain,(
% 32.39/5.02 spl8_547 <=> $less(sK0,$uminus(sK2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_547])])).
% 32.39/5.02 tff(f6474,plain,(
% 32.39/5.02 spl8_749 <=> $less(sK2,abs(sK0))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_749])])).
% 32.39/5.02 tff(f6468,plain,(
% 32.39/5.02 ~$less(sK2,abs(sK0)) | $less(sK0,$uminus(sK2)) | spl8_557),
% 32.39/5.02 inference(resolution,[],[f4896,f89])).
% 32.39/5.02 tff(f6453,plain,(
% 32.39/5.02 spl8_748 | spl8_2 | spl8_390),
% 32.39/5.02 inference(avatar_split_clause,[],[f6075,f3246,f153,f6450])).
% 32.39/5.02 tff(f6450,plain,(
% 32.39/5.02 spl8_748 <=> $less($product(8,sK2),$sum($product(x2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_748])])).
% 32.39/5.02 tff(f6075,plain,(
% 32.39/5.02 $less($product(8,sK2),$sum($product(x2,sK2),1)) | (spl8_2 | spl8_390)),
% 32.39/5.02 inference(resolution,[],[f1109,f3248])).
% 32.39/5.02 tff(f6448,plain,(
% 32.39/5.02 spl8_747 | spl8_2 | spl8_61),
% 32.39/5.02 inference(avatar_split_clause,[],[f6098,f520,f153,f6445])).
% 32.39/5.02 tff(f6445,plain,(
% 32.39/5.02 spl8_747 <=> $less($product(sK2,sK2),$sum($product(abs(0),sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_747])])).
% 32.39/5.02 tff(f6098,plain,(
% 32.39/5.02 $less($product(sK2,sK2),$sum($product(abs(0),sK2),1)) | (spl8_2 | spl8_61)),
% 32.39/5.02 inference(resolution,[],[f1109,f521])).
% 32.39/5.02 tff(f6443,plain,(
% 32.39/5.02 spl8_746 | spl8_2 | spl8_95),
% 32.39/5.02 inference(avatar_split_clause,[],[f6055,f787,f153,f6440])).
% 32.39/5.02 tff(f6440,plain,(
% 32.39/5.02 spl8_746 <=> $less($product($sum(sK0,1),sK2),$sum($product($product(2,y2),sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_746])])).
% 32.39/5.02 tff(f6055,plain,(
% 32.39/5.02 $less($product($sum(sK0,1),sK2),$sum($product($product(2,y2),sK2),1)) | (spl8_2 | spl8_95)),
% 32.39/5.02 inference(resolution,[],[f1109,f789])).
% 32.39/5.02 tff(f6438,plain,(
% 32.39/5.02 spl8_745 | spl8_2),
% 32.39/5.02 inference(avatar_split_clause,[],[f6134,f153,f6435])).
% 32.39/5.02 tff(f6435,plain,(
% 32.39/5.02 spl8_745 <=> $less($product(0,sK2),$sum($product(sK2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_745])])).
% 32.39/5.02 tff(f6134,plain,(
% 32.39/5.02 $less($product(0,sK2),$sum($product(sK2,sK2),1)) | spl8_2),
% 32.39/5.02 inference(resolution,[],[f1109,f155])).
% 32.39/5.02 tff(f6433,plain,(
% 32.39/5.02 spl8_744 | spl8_2 | spl8_58),
% 32.39/5.02 inference(avatar_split_clause,[],[f6135,f496,f153,f6430])).
% 32.39/5.02 tff(f6430,plain,(
% 32.39/5.02 spl8_744 <=> $less($product(2,sK2),$sum($product(sK2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_744])])).
% 32.39/5.02 tff(f6135,plain,(
% 32.39/5.02 $less($product(2,sK2),$sum($product(sK2,sK2),1)) | (spl8_2 | spl8_58)),
% 32.39/5.02 inference(resolution,[],[f1109,f498])).
% 32.39/5.02 tff(f6428,plain,(
% 32.39/5.02 spl8_743 | spl8_2 | spl8_533),
% 32.39/5.02 inference(avatar_split_clause,[],[f6078,f4613,f153,f6425])).
% 32.39/5.02 tff(f6425,plain,(
% 32.39/5.02 spl8_743 <=> $less($product(11,sK2),$sum($product(x2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_743])])).
% 32.39/5.02 tff(f6078,plain,(
% 32.39/5.02 $less($product(11,sK2),$sum($product(x2,sK2),1)) | (spl8_2 | spl8_533)),
% 32.39/5.02 inference(resolution,[],[f1109,f4615])).
% 32.39/5.02 tff(f6423,plain,(
% 32.39/5.02 spl8_742 | spl8_2 | spl8_60),
% 32.39/5.02 inference(avatar_split_clause,[],[f6091,f515,f153,f6420])).
% 32.39/5.02 tff(f6420,plain,(
% 32.39/5.02 spl8_742 <=> $less($product($sum(sK2,1),sK2),$sum($product(abs(0),sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_742])])).
% 32.39/5.02 tff(f6091,plain,(
% 32.39/5.02 $less($product($sum(sK2,1),sK2),$sum($product(abs(0),sK2),1)) | (spl8_2 | spl8_60)),
% 32.39/5.02 inference(resolution,[],[f1109,f516])).
% 32.39/5.02 tff(f6418,plain,(
% 32.39/5.02 spl8_741 | spl8_2 | spl8_329),
% 32.39/5.02 inference(avatar_split_clause,[],[f6140,f2705,f153,f6415])).
% 32.39/5.02 tff(f6415,plain,(
% 32.39/5.02 spl8_741 <=> $less($product(6,sK2),$sum($product(sK2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_741])])).
% 32.39/5.02 tff(f6140,plain,(
% 32.39/5.02 $less($product(6,sK2),$sum($product(sK2,sK2),1)) | (spl8_2 | spl8_329)),
% 32.39/5.02 inference(resolution,[],[f1109,f2707])).
% 32.39/5.02 tff(f6413,plain,(
% 32.39/5.02 spl8_740 | spl8_2 | spl8_92),
% 32.39/5.02 inference(avatar_split_clause,[],[f6148,f767,f153,f6410])).
% 32.39/5.02 tff(f6410,plain,(
% 32.39/5.02 spl8_740 <=> $less(sK2,$sum($product($sum(x2,1),sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_740])])).
% 32.39/5.02 tff(f6148,plain,(
% 32.39/5.02 $less(sK2,$sum($product($sum(x2,1),sK2),1)) | (spl8_2 | spl8_92)),
% 32.39/5.02 inference(evaluation,[],[f6124])).
% 32.39/5.02 tff(f6124,plain,(
% 32.39/5.02 $less($product(1,sK2),$sum($product($sum(x2,1),sK2),1)) | (spl8_2 | spl8_92)),
% 32.39/5.02 inference(resolution,[],[f1109,f769])).
% 32.39/5.02 tff(f6408,plain,(
% 32.39/5.02 spl8_739 | spl8_2 | spl8_296),
% 32.39/5.02 inference(avatar_split_clause,[],[f6139,f2417,f153,f6405])).
% 32.39/5.02 tff(f6405,plain,(
% 32.39/5.02 spl8_739 <=> $less($product(5,sK2),$sum($product(sK2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_739])])).
% 32.39/5.02 tff(f6139,plain,(
% 32.39/5.02 $less($product(5,sK2),$sum($product(sK2,sK2),1)) | (spl8_2 | spl8_296)),
% 32.39/5.02 inference(resolution,[],[f1109,f2419])).
% 32.39/5.02 tff(f6403,plain,(
% 32.39/5.02 spl8_738 | spl8_2 | spl8_504),
% 32.39/5.02 inference(avatar_split_clause,[],[f6144,f4375,f153,f6400])).
% 32.39/5.02 tff(f6400,plain,(
% 32.39/5.02 spl8_738 <=> $less($product(10,sK2),$sum($product(sK2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_738])])).
% 32.39/5.02 tff(f6144,plain,(
% 32.39/5.02 $less($product(10,sK2),$sum($product(sK2,sK2),1)) | (spl8_2 | spl8_504)),
% 32.39/5.02 inference(resolution,[],[f1109,f4377])).
% 32.39/5.02 tff(f6398,plain,(
% 32.39/5.02 spl8_737 | spl8_2 | spl8_117),
% 32.39/5.02 inference(avatar_split_clause,[],[f6113,f966,f153,f6395])).
% 32.39/5.02 tff(f6395,plain,(
% 32.39/5.02 spl8_737 <=> $less($product($sum(sK0,1),sK2),$sum($product($uminus($product(2,y2)),sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_737])])).
% 32.39/5.02 tff(f6113,plain,(
% 32.39/5.02 $less($product($sum(sK0,1),sK2),$sum($product($uminus($product(2,y2)),sK2),1)) | (spl8_2 | spl8_117)),
% 32.39/5.02 inference(resolution,[],[f1109,f968])).
% 32.39/5.02 tff(f6393,plain,(
% 32.39/5.02 spl8_736 | spl8_2 | spl8_73),
% 32.39/5.02 inference(avatar_split_clause,[],[f6095,f610,f153,f6390])).
% 32.39/5.02 tff(f6390,plain,(
% 32.39/5.02 spl8_736 <=> $less($product($sum(x2,1),sK2),$sum($product(abs(sK2),sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_736])])).
% 32.39/5.02 tff(f6095,plain,(
% 32.39/5.02 $less($product($sum(x2,1),sK2),$sum($product(abs(sK2),sK2),1)) | (spl8_2 | spl8_73)),
% 32.39/5.02 inference(resolution,[],[f1109,f611])).
% 32.39/5.02 tff(f6388,plain,(
% 32.39/5.02 spl8_735 | spl8_2 | spl8_133),
% 32.39/5.02 inference(avatar_split_clause,[],[f6114,f1091,f153,f6385])).
% 32.39/5.02 tff(f6385,plain,(
% 32.39/5.02 spl8_735 <=> $less($product($sum($product(2,$sum(y2,$uminus(x2))),1),sK2),$sum($product($uminus(sK0),sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_735])])).
% 32.39/5.02 tff(f6114,plain,(
% 32.39/5.02 $less($product($sum($product(2,$sum(y2,$uminus(x2))),1),sK2),$sum($product($uminus(sK0),sK2),1)) | (spl8_2 | spl8_133)),
% 32.39/5.02 inference(resolution,[],[f1109,f1093])).
% 32.39/5.02 tff(f6383,plain,(
% 32.39/5.02 spl8_734 | spl8_2 | spl8_66),
% 32.39/5.02 inference(avatar_split_clause,[],[f6149,f551,f153,f6380])).
% 32.39/5.02 tff(f6380,plain,(
% 32.39/5.02 spl8_734 <=> $less(sK2,$sum($product($uminus(sK2),sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_734])])).
% 32.39/5.02 tff(f6149,plain,(
% 32.39/5.02 $less(sK2,$sum($product($uminus(sK2),sK2),1)) | (spl8_2 | spl8_66)),
% 32.39/5.02 inference(evaluation,[],[f6110])).
% 32.39/5.02 tff(f6110,plain,(
% 32.39/5.02 $less($product(1,sK2),$sum($product($uminus(sK2),sK2),1)) | (spl8_2 | spl8_66)),
% 32.39/5.02 inference(resolution,[],[f1109,f553])).
% 32.39/5.02 tff(f6378,plain,(
% 32.39/5.02 spl8_733 | spl8_2 | spl8_89),
% 32.39/5.02 inference(avatar_split_clause,[],[f6150,f738,f153,f6375])).
% 32.39/5.02 tff(f6375,plain,(
% 32.39/5.02 spl8_733 <=> $less(sK2,$sum($product($sum(sK2,1),sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_733])])).
% 32.39/5.02 tff(f6150,plain,(
% 32.39/5.02 $less(sK2,$sum($product($sum(sK2,1),sK2),1)) | (spl8_2 | spl8_89)),
% 32.39/5.02 inference(evaluation,[],[f6123])).
% 32.39/5.02 tff(f6123,plain,(
% 32.39/5.02 $less($product(1,sK2),$sum($product($sum(sK2,1),sK2),1)) | (spl8_2 | spl8_89)),
% 32.39/5.02 inference(resolution,[],[f1109,f740])).
% 32.39/5.02 tff(f6373,plain,(
% 32.39/5.02 spl8_732 | spl8_2 | spl8_298),
% 32.39/5.02 inference(avatar_split_clause,[],[f6072,f2433,f153,f6370])).
% 32.39/5.02 tff(f6370,plain,(
% 32.39/5.02 spl8_732 <=> $less($product(5,sK2),$sum($product(x2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_732])])).
% 32.39/5.02 tff(f6072,plain,(
% 32.39/5.02 $less($product(5,sK2),$sum($product(x2,sK2),1)) | (spl8_2 | spl8_298)),
% 32.39/5.02 inference(resolution,[],[f1109,f2435])).
% 32.39/5.02 tff(f6368,plain,(
% 32.39/5.02 spl8_731 | spl8_2 | spl8_367),
% 32.39/5.02 inference(avatar_split_clause,[],[f6074,f3052,f153,f6365])).
% 32.39/5.02 tff(f6365,plain,(
% 32.39/5.02 spl8_731 <=> $less($product(7,sK2),$sum($product(x2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_731])])).
% 32.39/5.02 tff(f6074,plain,(
% 32.39/5.02 $less($product(7,sK2),$sum($product(x2,sK2),1)) | (spl8_2 | spl8_367)),
% 32.39/5.02 inference(resolution,[],[f1109,f3054])).
% 32.39/5.02 tff(f6363,plain,(
% 32.39/5.02 spl8_730 | spl8_2 | spl8_387),
% 32.39/5.02 inference(avatar_split_clause,[],[f6142,f3225,f153,f6360])).
% 32.39/5.02 tff(f6360,plain,(
% 32.39/5.02 spl8_730 <=> $less($product(8,sK2),$sum($product(sK2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_730])])).
% 32.39/5.02 tff(f6142,plain,(
% 32.39/5.02 $less($product(8,sK2),$sum($product(sK2,sK2),1)) | (spl8_2 | spl8_387)),
% 32.39/5.02 inference(resolution,[],[f1109,f3227])).
% 32.39/5.02 tff(f6358,plain,(
% 32.39/5.02 spl8_729 | spl8_2 | spl8_358),
% 32.39/5.02 inference(avatar_split_clause,[],[f6141,f2961,f153,f6355])).
% 32.39/5.02 tff(f6355,plain,(
% 32.39/5.02 spl8_729 <=> $less($product(7,sK2),$sum($product(sK2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_729])])).
% 32.39/5.02 tff(f6141,plain,(
% 32.39/5.02 $less($product(7,sK2),$sum($product(sK2,sK2),1)) | (spl8_2 | spl8_358)),
% 32.39/5.02 inference(resolution,[],[f1109,f2963])).
% 32.39/5.02 tff(f6353,plain,(
% 32.39/5.02 spl8_728 | spl8_2 | spl8_204),
% 32.39/5.02 inference(avatar_split_clause,[],[f6070,f1679,f153,f6350])).
% 32.39/5.02 tff(f6350,plain,(
% 32.39/5.02 spl8_728 <=> $less($product(4,sK2),$sum($product(x2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_728])])).
% 32.39/5.02 tff(f6070,plain,(
% 32.39/5.02 $less($product(4,sK2),$sum($product(x2,sK2),1)) | (spl8_2 | spl8_204)),
% 32.39/5.02 inference(resolution,[],[f1109,f1681])).
% 32.39/5.02 tff(f6348,plain,(
% 32.39/5.02 spl8_727 | spl8_2 | spl8_116),
% 32.39/5.02 inference(avatar_split_clause,[],[f6094,f955,f153,f6345])).
% 32.39/5.02 tff(f6345,plain,(
% 32.39/5.02 spl8_727 <=> $less($product($sum($product(2,y2),1),sK2),$sum($product(abs(sK0),sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_727])])).
% 32.39/5.02 tff(f6094,plain,(
% 32.39/5.02 $less($product($sum($product(2,y2),1),sK2),$sum($product(abs(sK0),sK2),1)) | (spl8_2 | spl8_116)),
% 32.39/5.02 inference(resolution,[],[f1109,f956])).
% 32.39/5.02 tff(f6343,plain,(
% 32.39/5.02 spl8_726 | spl8_2 | spl8_78),
% 32.39/5.02 inference(avatar_split_clause,[],[f6112,f641,f153,f6340])).
% 32.39/5.02 tff(f6340,plain,(
% 32.39/5.02 spl8_726 <=> $less($product($sum(sK2,1),sK2),$sum($product($uminus(x2),sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_726])])).
% 32.39/5.02 tff(f6112,plain,(
% 32.39/5.02 $less($product($sum(sK2,1),sK2),$sum($product($uminus(x2),sK2),1)) | (spl8_2 | spl8_78)),
% 32.39/5.02 inference(resolution,[],[f1109,f643])).
% 32.39/5.02 tff(f6338,plain,(
% 32.39/5.02 spl8_725 | spl8_2 | spl8_419),
% 32.39/5.02 inference(avatar_split_clause,[],[f6143,f3638,f153,f6335])).
% 32.39/5.02 tff(f6335,plain,(
% 32.39/5.02 spl8_725 <=> $less($product(9,sK2),$sum($product(sK2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_725])])).
% 32.39/5.02 tff(f6143,plain,(
% 32.39/5.02 $less($product(9,sK2),$sum($product(sK2,sK2),1)) | (spl8_2 | spl8_419)),
% 32.39/5.02 inference(resolution,[],[f1109,f3640])).
% 32.39/5.02 tff(f6333,plain,(
% 32.39/5.02 spl8_724 | spl8_2 | spl8_168),
% 32.39/5.02 inference(avatar_split_clause,[],[f6071,f1434,f153,f6330])).
% 32.39/5.02 tff(f6330,plain,(
% 32.39/5.02 spl8_724 <=> $less($product(3,sK2),$sum($product(x2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_724])])).
% 32.39/5.02 tff(f6071,plain,(
% 32.39/5.02 $less($product(3,sK2),$sum($product(x2,sK2),1)) | (spl8_2 | spl8_168)),
% 32.39/5.02 inference(resolution,[],[f1109,f1436])).
% 32.39/5.02 tff(f6328,plain,(
% 32.39/5.02 spl8_723 | spl8_2 | spl8_624),
% 32.39/5.02 inference(avatar_split_clause,[],[f6147,f5503,f153,f6325])).
% 32.39/5.02 tff(f6325,plain,(
% 32.39/5.02 spl8_723 <=> $less($product(13,sK2),$sum($product(sK2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_723])])).
% 32.39/5.02 tff(f6147,plain,(
% 32.39/5.02 $less($product(13,sK2),$sum($product(sK2,sK2),1)) | (spl8_2 | spl8_624)),
% 32.39/5.02 inference(resolution,[],[f1109,f5505])).
% 32.39/5.02 tff(f6323,plain,(
% 32.39/5.02 spl8_722 | spl8_2 | spl8_129),
% 32.39/5.02 inference(avatar_split_clause,[],[f6093,f1065,f153,f6320])).
% 32.39/5.02 tff(f6320,plain,(
% 32.39/5.02 spl8_722 <=> $less($product($sum(sK0,1),sK2),$sum($product(abs($product(2,$sum(y2,$uminus(x2)))),sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_722])])).
% 32.39/5.02 tff(f6093,plain,(
% 32.39/5.02 $less($product($sum(sK0,1),sK2),$sum($product(abs($product(2,$sum(y2,$uminus(x2)))),sK2),1)) | (spl8_2 | spl8_129)),
% 32.39/5.02 inference(resolution,[],[f1109,f1066])).
% 32.39/5.02 tff(f6318,plain,(
% 32.39/5.02 spl8_721 | spl8_2 | spl8_332),
% 32.39/5.02 inference(avatar_split_clause,[],[f6073,f2733,f153,f6315])).
% 32.39/5.02 tff(f6315,plain,(
% 32.39/5.02 spl8_721 <=> $less($product(6,sK2),$sum($product(x2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_721])])).
% 32.39/5.02 tff(f6073,plain,(
% 32.39/5.02 $less($product(6,sK2),$sum($product(x2,sK2),1)) | (spl8_2 | spl8_332)),
% 32.39/5.02 inference(resolution,[],[f1109,f2735])).
% 32.39/5.02 tff(f6313,plain,(
% 32.39/5.02 spl8_720 | spl8_2 | spl8_68),
% 32.39/5.02 inference(avatar_split_clause,[],[f6065,f567,f153,f6310])).
% 32.39/5.02 tff(f6310,plain,(
% 32.39/5.02 spl8_720 <=> $less($product(2,sK2),$sum($product(x2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_720])])).
% 32.39/5.02 tff(f6065,plain,(
% 32.39/5.02 $less($product(2,sK2),$sum($product(x2,sK2),1)) | (spl8_2 | spl8_68)),
% 32.39/5.02 inference(resolution,[],[f1109,f569])).
% 32.39/5.02 tff(f6308,plain,(
% 32.39/5.02 spl8_719 | spl8_2 | spl8_120),
% 32.39/5.02 inference(avatar_split_clause,[],[f6126,f995,f153,f6305])).
% 32.39/5.02 tff(f6305,plain,(
% 32.39/5.02 spl8_719 <=> $less($product($sum(sK0,1),sK2),$sum($product($sum($product(2,y2),1),sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_719])])).
% 32.39/5.02 tff(f6126,plain,(
% 32.39/5.02 $less($product($sum(sK0,1),sK2),$sum($product($sum($product(2,y2),1),sK2),1)) | (spl8_2 | spl8_120)),
% 32.39/5.02 inference(resolution,[],[f1109,f997])).
% 32.39/5.02 tff(f6303,plain,(
% 32.39/5.02 spl8_718 | spl8_2 | spl8_626),
% 32.39/5.02 inference(avatar_split_clause,[],[f6080,f5519,f153,f6300])).
% 32.39/5.02 tff(f6300,plain,(
% 32.39/5.02 spl8_718 <=> $less($product(13,sK2),$sum($product(x2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_718])])).
% 32.39/5.02 tff(f6080,plain,(
% 32.39/5.02 $less($product(13,sK2),$sum($product(x2,sK2),1)) | (spl8_2 | spl8_626)),
% 32.39/5.02 inference(resolution,[],[f1109,f5521])).
% 32.39/5.02 tff(f6298,plain,(
% 32.39/5.02 spl8_717 | spl8_2 | spl8_7),
% 32.39/5.02 inference(avatar_split_clause,[],[f6129,f178,f153,f6295])).
% 32.39/5.02 tff(f6295,plain,(
% 32.39/5.02 spl8_717 <=> $less($product($product(2,$sum(y2,$uminus(x2))),sK2),$sum($product(sK0,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_717])])).
% 32.39/5.02 tff(f6129,plain,(
% 32.39/5.02 $less($product($product(2,$sum(y2,$uminus(x2))),sK2),$sum($product(sK0,sK2),1)) | (spl8_2 | spl8_7)),
% 32.39/5.02 inference(resolution,[],[f1109,f180])).
% 32.39/5.02 tff(f6293,plain,(
% 32.39/5.02 spl8_716 | spl8_2 | spl8_121),
% 32.39/5.02 inference(avatar_split_clause,[],[f6096,f1015,f153,f6290])).
% 32.39/5.02 tff(f6290,plain,(
% 32.39/5.02 spl8_716 <=> $less($product(sK0,sK2),$sum($product(abs(sK0),sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_716])])).
% 32.39/5.02 tff(f6096,plain,(
% 32.39/5.02 $less($product(sK0,sK2),$sum($product(abs(sK0),sK2),1)) | (spl8_2 | spl8_121)),
% 32.39/5.02 inference(resolution,[],[f1109,f1017])).
% 32.39/5.02 tff(f6288,plain,(
% 32.39/5.02 spl8_715 | spl8_2 | spl8_609),
% 32.39/5.02 inference(avatar_split_clause,[],[f6146,f5360,f153,f6285])).
% 32.39/5.02 tff(f6285,plain,(
% 32.39/5.02 spl8_715 <=> $less($product(12,sK2),$sum($product(sK2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_715])])).
% 32.39/5.02 tff(f6146,plain,(
% 32.39/5.02 $less($product(12,sK2),$sum($product(sK2,sK2),1)) | (spl8_2 | spl8_609)),
% 32.39/5.02 inference(resolution,[],[f1109,f5362])).
% 32.39/5.02 tff(f6283,plain,(
% 32.39/5.02 spl8_714 | spl8_2 | spl8_610),
% 32.39/5.02 inference(avatar_split_clause,[],[f6079,f5386,f153,f6280])).
% 32.39/5.02 tff(f6280,plain,(
% 32.39/5.02 spl8_714 <=> $less($product(12,sK2),$sum($product(x2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_714])])).
% 32.39/5.02 tff(f6079,plain,(
% 32.39/5.02 $less($product(12,sK2),$sum($product(x2,sK2),1)) | (spl8_2 | spl8_610)),
% 32.39/5.02 inference(resolution,[],[f1109,f5388])).
% 32.39/5.02 tff(f6278,plain,(
% 32.39/5.02 spl8_713 | spl8_2 | spl8_434),
% 32.39/5.02 inference(avatar_split_clause,[],[f6076,f3738,f153,f6275])).
% 32.39/5.02 tff(f6275,plain,(
% 32.39/5.02 spl8_713 <=> $less($product(9,sK2),$sum($product(x2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_713])])).
% 32.39/5.02 tff(f6076,plain,(
% 32.39/5.02 $less($product(9,sK2),$sum($product(x2,sK2),1)) | (spl8_2 | spl8_434)),
% 32.39/5.02 inference(resolution,[],[f1109,f3740])).
% 32.39/5.02 tff(f6273,plain,(
% 32.39/5.02 spl8_712 | spl8_2 | spl8_72),
% 32.39/5.02 inference(avatar_split_clause,[],[f6088,f605,f153,f6270])).
% 32.39/5.02 tff(f6270,plain,(
% 32.39/5.02 spl8_712 <=> $less($product(x2,sK2),$sum($product(abs(sK2),sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_712])])).
% 32.39/5.02 tff(f6088,plain,(
% 32.39/5.02 $less($product(x2,sK2),$sum($product(abs(sK2),sK2),1)) | (spl8_2 | spl8_72)),
% 32.39/5.02 inference(resolution,[],[f1109,f606])).
% 32.39/5.02 tff(f6268,plain,(
% 32.39/5.02 spl8_711 | spl8_2 | spl8_4),
% 32.39/5.02 inference(avatar_split_clause,[],[f6056,f163,f153,f6265])).
% 32.39/5.02 tff(f6265,plain,(
% 32.39/5.02 spl8_711 <=> $less($product(sK0,sK2),$sum($product($product(2,y2),sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_711])])).
% 32.39/5.02 tff(f6056,plain,(
% 32.39/5.02 $less($product(sK0,sK2),$sum($product($product(2,y2),sK2),1)) | (spl8_2 | spl8_4)),
% 32.39/5.02 inference(resolution,[],[f1109,f165])).
% 32.39/5.02 tff(f6263,plain,(
% 32.39/5.02 spl8_710 | spl8_2 | spl8_522),
% 32.39/5.02 inference(avatar_split_clause,[],[f6145,f4525,f153,f6260])).
% 32.39/5.02 tff(f6260,plain,(
% 32.39/5.02 spl8_710 <=> $less($product(11,sK2),$sum($product(sK2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_710])])).
% 32.39/5.02 tff(f6145,plain,(
% 32.39/5.02 $less($product(11,sK2),$sum($product(sK2,sK2),1)) | (spl8_2 | spl8_522)),
% 32.39/5.02 inference(resolution,[],[f1109,f4527])).
% 32.39/5.02 tff(f6258,plain,(
% 32.39/5.02 spl8_709 | spl8_2 | spl8_156),
% 32.39/5.02 inference(avatar_split_clause,[],[f6138,f1325,f153,f6255])).
% 32.39/5.02 tff(f6255,plain,(
% 32.39/5.02 spl8_709 <=> $less($product(3,sK2),$sum($product(sK2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_709])])).
% 32.39/5.02 tff(f6138,plain,(
% 32.39/5.02 $less($product(3,sK2),$sum($product(sK2,sK2),1)) | (spl8_2 | spl8_156)),
% 32.39/5.02 inference(resolution,[],[f1109,f1327])).
% 32.39/5.02 tff(f6253,plain,(
% 32.39/5.02 spl8_708 | spl8_2 | spl8_555),
% 32.39/5.02 inference(avatar_split_clause,[],[f6068,f4886,f153,f6250])).
% 32.39/5.02 tff(f6250,plain,(
% 32.39/5.02 spl8_708 <=> $less($product(sK0,sK2),$sum($product(x2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_708])])).
% 32.39/5.02 tff(f6068,plain,(
% 32.39/5.02 $less($product(sK0,sK2),$sum($product(x2,sK2),1)) | (spl8_2 | spl8_555)),
% 32.39/5.02 inference(resolution,[],[f1109,f4888])).
% 32.39/5.02 tff(f6248,plain,(
% 32.39/5.02 spl8_707 | spl8_2 | spl8_126),
% 32.39/5.02 inference(avatar_split_clause,[],[f6130,f1043,f153,f6245])).
% 32.39/5.02 tff(f6245,plain,(
% 32.39/5.02 spl8_707 <=> $less($product($sum($product(2,$sum(y2,$uminus(x2))),1),sK2),$sum($product(sK0,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_707])])).
% 32.39/5.02 tff(f6130,plain,(
% 32.39/5.02 $less($product($sum($product(2,$sum(y2,$uminus(x2))),1),sK2),$sum($product(sK0,sK2),1)) | (spl8_2 | spl8_126)),
% 32.39/5.02 inference(resolution,[],[f1109,f1045])).
% 32.39/5.02 tff(f6243,plain,(
% 32.39/5.02 spl8_706 | spl8_2 | spl8_189),
% 32.39/5.02 inference(avatar_split_clause,[],[f6137,f1573,f153,f6240])).
% 32.39/5.02 tff(f6240,plain,(
% 32.39/5.02 spl8_706 <=> $less($product(4,sK2),$sum($product(sK2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_706])])).
% 32.39/5.02 tff(f6137,plain,(
% 32.39/5.02 $less($product(4,sK2),$sum($product(sK2,sK2),1)) | (spl8_2 | spl8_189)),
% 32.39/5.02 inference(resolution,[],[f1109,f1575])).
% 32.39/5.02 tff(f6238,plain,(
% 32.39/5.02 spl8_705 | spl8_2 | spl8_102),
% 32.39/5.02 inference(avatar_split_clause,[],[f6120,f843,f153,f6235])).
% 32.39/5.02 tff(f6235,plain,(
% 32.39/5.02 spl8_705 <=> $less($product(0,sK2),$sum($product($sum(x2,1),sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_705])])).
% 32.39/5.02 tff(f6120,plain,(
% 32.39/5.02 $less($product(0,sK2),$sum($product($sum(x2,1),sK2),1)) | (spl8_2 | spl8_102)),
% 32.39/5.02 inference(resolution,[],[f1109,f845])).
% 32.39/5.02 tff(f6233,plain,(
% 32.39/5.02 spl8_704 | spl8_2 | spl8_33),
% 32.39/5.02 inference(avatar_split_clause,[],[f6151,f344,f153,f6230])).
% 32.39/5.02 tff(f6230,plain,(
% 32.39/5.02 spl8_704 <=> $less(sK2,$sum($product(x2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_704])])).
% 32.39/5.02 tff(f6151,plain,(
% 32.39/5.02 $less(sK2,$sum($product(x2,sK2),1)) | (spl8_2 | spl8_33)),
% 32.39/5.02 inference(evaluation,[],[f6066])).
% 32.39/5.02 tff(f6066,plain,(
% 32.39/5.02 $less($product(1,sK2),$sum($product(x2,sK2),1)) | (spl8_2 | spl8_33)),
% 32.39/5.02 inference(resolution,[],[f1109,f346])).
% 32.39/5.02 tff(f6228,plain,(
% 32.39/5.02 spl8_703 | spl8_2),
% 32.39/5.02 inference(avatar_split_clause,[],[f6064,f153,f6225])).
% 32.39/5.02 tff(f6225,plain,(
% 32.39/5.02 spl8_703 <=> $less($product(y2,sK2),$sum($product(x2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_703])])).
% 32.39/5.02 tff(f6064,plain,(
% 32.39/5.02 $less($product(y2,sK2),$sum($product(x2,sK2),1)) | spl8_2),
% 32.39/5.02 inference(resolution,[],[f1109,f91])).
% 32.39/5.02 tff(f6223,plain,(
% 32.39/5.02 spl8_702 | spl8_2 | spl8_6),
% 32.39/5.02 inference(avatar_split_clause,[],[f6063,f173,f153,f6220])).
% 32.39/5.02 tff(f6220,plain,(
% 32.39/5.02 spl8_702 <=> $less($product(0,sK2),$sum($product(x2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_702])])).
% 32.39/5.02 tff(f6063,plain,(
% 32.39/5.02 $less($product(0,sK2),$sum($product(x2,sK2),1)) | (spl8_2 | spl8_6)),
% 32.39/5.02 inference(resolution,[],[f1109,f175])).
% 32.39/5.02 tff(f6218,plain,(
% 32.39/5.02 spl8_701 | spl8_2 | spl8_507),
% 32.39/5.02 inference(avatar_split_clause,[],[f6077,f4396,f153,f6215])).
% 32.39/5.02 tff(f6215,plain,(
% 32.39/5.02 spl8_701 <=> $less($product(10,sK2),$sum($product(x2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_701])])).
% 32.39/5.02 tff(f6077,plain,(
% 32.39/5.02 $less($product(10,sK2),$sum($product(x2,sK2),1)) | (spl8_2 | spl8_507)),
% 32.39/5.02 inference(resolution,[],[f1109,f4398])).
% 32.39/5.02 tff(f6213,plain,(
% 32.39/5.02 spl8_700 | spl8_2 | spl8_130),
% 32.39/5.02 inference(avatar_split_clause,[],[f6097,f1070,f153,f6210])).
% 32.39/5.02 tff(f6210,plain,(
% 32.39/5.02 spl8_700 <=> $less($product(sK0,sK2),$sum($product(abs($product(2,$sum(y2,$uminus(x2)))),sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_700])])).
% 32.39/5.02 tff(f6097,plain,(
% 32.39/5.02 $less($product(sK0,sK2),$sum($product(abs($product(2,$sum(y2,$uminus(x2)))),sK2),1)) | (spl8_2 | spl8_130)),
% 32.39/5.02 inference(resolution,[],[f1109,f1071])).
% 32.39/5.02 tff(f6208,plain,(
% 32.39/5.02 spl8_699 | spl8_2 | spl8_91),
% 32.39/5.02 inference(avatar_split_clause,[],[f6125,f754,f153,f6205])).
% 32.39/5.02 tff(f6205,plain,(
% 32.39/5.02 spl8_699 <=> $less($product($sum(sK2,1),sK2),$sum($product($sum(x2,1),sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_699])])).
% 32.39/5.02 tff(f6125,plain,(
% 32.39/5.02 $less($product($sum(sK2,1),sK2),$sum($product($sum(x2,1),sK2),1)) | (spl8_2 | spl8_91)),
% 32.39/5.02 inference(resolution,[],[f1109,f756])).
% 32.39/5.02 tff(f6203,plain,(
% 32.39/5.02 spl8_698 | spl8_2),
% 32.39/5.02 inference(avatar_split_clause,[],[f6081,f153,f6200])).
% 32.39/5.02 tff(f6200,plain,(
% 32.39/5.02 spl8_698 <=> $less($product(0,sK2),$sum($product(y2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_698])])).
% 32.39/5.02 tff(f6081,plain,(
% 32.39/5.02 $less($product(0,sK2),$sum($product(y2,sK2),1)) | spl8_2),
% 32.39/5.02 inference(resolution,[],[f1109,f92])).
% 32.39/5.02 tff(f6198,plain,(
% 32.39/5.02 spl8_697 | spl8_2 | spl8_122),
% 32.39/5.02 inference(avatar_split_clause,[],[f6042,f1020,f153,f6195])).
% 32.39/5.02 tff(f6195,plain,(
% 32.39/5.02 spl8_697 <=> $less($product(sK0,sK2),$sum($product(0,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_697])])).
% 32.39/5.02 tff(f6042,plain,(
% 32.39/5.02 $less($product(sK0,sK2),$sum($product(0,sK2),1)) | (spl8_2 | spl8_122)),
% 32.39/5.02 inference(resolution,[],[f1109,f1022])).
% 32.39/5.02 tff(f6193,plain,(
% 32.39/5.02 spl8_696 | spl8_2 | spl8_87),
% 32.39/5.02 inference(avatar_split_clause,[],[f6152,f712,f153,f6190])).
% 32.39/5.02 tff(f6190,plain,(
% 32.39/5.02 spl8_696 <=> $less(sK2,$sum($product($uminus(x2),sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_696])])).
% 32.39/5.02 tff(f6152,plain,(
% 32.39/5.02 $less(sK2,$sum($product($uminus(x2),sK2),1)) | (spl8_2 | spl8_87)),
% 32.39/5.02 inference(evaluation,[],[f6111])).
% 32.39/5.02 tff(f6111,plain,(
% 32.39/5.02 $less($product(1,sK2),$sum($product($uminus(x2),sK2),1)) | (spl8_2 | spl8_87)),
% 32.39/5.02 inference(resolution,[],[f1109,f714])).
% 32.39/5.02 tff(f6188,plain,(
% 32.39/5.02 spl8_695 | spl8_2 | spl8_110),
% 32.39/5.02 inference(avatar_split_clause,[],[f6099,f903,f153,f6185])).
% 32.39/5.02 tff(f6185,plain,(
% 32.39/5.02 spl8_695 <=> $less($product(sK2,sK2),$sum($product(abs(sK2),sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_695])])).
% 32.39/5.02 tff(f6099,plain,(
% 32.39/5.02 $less($product(sK2,sK2),$sum($product(abs(sK2),sK2),1)) | (spl8_2 | spl8_110)),
% 32.39/5.02 inference(resolution,[],[f1109,f905])).
% 32.39/5.02 tff(f6183,plain,(
% 32.39/5.02 spl8_694 | spl8_2 | spl8_3),
% 32.39/5.02 inference(avatar_split_clause,[],[f6069,f158,f153,f6180])).
% 32.39/5.02 tff(f6180,plain,(
% 32.39/5.02 spl8_694 <=> $less($product(sK2,sK2),$sum($product(x2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_694])])).
% 32.39/5.02 tff(f6069,plain,(
% 32.39/5.02 $less($product(sK2,sK2),$sum($product(x2,sK2),1)) | (spl8_2 | spl8_3)),
% 32.39/5.02 inference(resolution,[],[f1109,f160])).
% 32.39/5.02 tff(f6178,plain,(
% 32.39/5.02 spl8_693 | spl8_2 | spl8_81),
% 32.39/5.02 inference(avatar_split_clause,[],[f6089,f674,f153,f6175])).
% 32.39/5.02 tff(f6175,plain,(
% 32.39/5.02 spl8_693 <=> $less($product(x2,sK2),$sum($product(abs(0),sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_693])])).
% 32.39/5.02 tff(f6089,plain,(
% 32.39/5.02 $less($product(x2,sK2),$sum($product(abs(0),sK2),1)) | (spl8_2 | spl8_81)),
% 32.39/5.02 inference(resolution,[],[f1109,f675])).
% 32.39/5.02 tff(f6173,plain,(
% 32.39/5.02 spl8_692 | spl8_2 | spl8_31),
% 32.39/5.02 inference(avatar_split_clause,[],[f6067,f327,f153,f6170])).
% 32.39/5.02 tff(f6170,plain,(
% 32.39/5.02 spl8_692 <=> $less($product($sum(sK2,1),sK2),$sum($product(x2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_692])])).
% 32.39/5.02 tff(f6067,plain,(
% 32.39/5.02 $less($product($sum(sK2,1),sK2),$sum($product(x2,sK2),1)) | (spl8_2 | spl8_31)),
% 32.39/5.02 inference(resolution,[],[f1109,f329])).
% 32.39/5.02 tff(f6168,plain,(
% 32.39/5.02 spl8_691 | spl8_2 | spl8_30),
% 32.39/5.02 inference(avatar_split_clause,[],[f6153,f317,f153,f6165])).
% 32.39/5.02 tff(f6165,plain,(
% 32.39/5.02 spl8_691 <=> $less(sK2,$sum($product(sK2,sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_691])])).
% 32.39/5.02 tff(f6153,plain,(
% 32.39/5.02 $less(sK2,$sum($product(sK2,sK2),1)) | (spl8_2 | spl8_30)),
% 32.39/5.02 inference(evaluation,[],[f6136])).
% 32.39/5.02 tff(f6136,plain,(
% 32.39/5.02 $less($product(1,sK2),$sum($product(sK2,sK2),1)) | (spl8_2 | spl8_30)),
% 32.39/5.02 inference(resolution,[],[f1109,f319])).
% 32.39/5.02 tff(f6163,plain,(
% 32.39/5.02 spl8_690 | spl8_2 | spl8_82),
% 32.39/5.02 inference(avatar_split_clause,[],[f6092,f679,f153,f6160])).
% 32.39/5.02 tff(f6160,plain,(
% 32.39/5.02 spl8_690 <=> $less($product($sum(x2,1),sK2),$sum($product(abs(0),sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_690])])).
% 32.39/5.02 tff(f6092,plain,(
% 32.39/5.02 $less($product($sum(x2,1),sK2),$sum($product(abs(0),sK2),1)) | (spl8_2 | spl8_82)),
% 32.39/5.02 inference(resolution,[],[f1109,f680])).
% 32.39/5.02 tff(f6158,plain,(
% 32.39/5.02 spl8_689 | spl8_2 | spl8_103),
% 32.39/5.02 inference(avatar_split_clause,[],[f6107,f848,f153,f6155])).
% 32.39/5.02 tff(f6155,plain,(
% 32.39/5.02 spl8_689 <=> $less($product(0,sK2),$sum($product($uminus(x2),sK2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_689])])).
% 32.39/5.02 tff(f6107,plain,(
% 32.39/5.02 $less($product(0,sK2),$sum($product($uminus(x2),sK2),1)) | (spl8_2 | spl8_103)),
% 32.39/5.02 inference(resolution,[],[f1109,f850])).
% 32.39/5.02 tff(f6014,plain,(
% 32.39/5.02 ~spl8_557 | spl8_688 | spl8_2 | ~spl8_49),
% 32.39/5.02 inference(avatar_split_clause,[],[f6002,f437,f153,f6012,f4894])).
% 32.39/5.02 tff(f6012,plain,(
% 32.39/5.02 spl8_688 <=> ! [X0 : $int] : (~$less(abs($product(2,$sum(y2,$uminus(x2)))),X0) | ~$less(X0,0))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_688])])).
% 32.39/5.02 tff(f437,plain,(
% 32.39/5.02 spl8_49 <=> $less(sK0,abs($product(2,$sum(y2,$uminus(x2)))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_49])])).
% 32.39/5.02 tff(f6002,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~$less(abs($product(2,$sum(y2,$uminus(x2)))),X0) | ~$less(X0,0) | ~$less(sK2,sK0)) ) | (spl8_2 | ~spl8_49)),
% 32.39/5.02 inference(resolution,[],[f1104,f831])).
% 32.39/5.02 tff(f831,plain,(
% 32.39/5.02 ( ! [X0 : $int,X1 : $int] : (~$less(sK2,X1) | ~$less(X1,X0) | ~$less(X0,0)) ) | spl8_2),
% 32.39/5.02 inference(resolution,[],[f192,f35])).
% 32.39/5.02 tff(f192,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~$less(sK2,X0) | ~$less(X0,0)) ) | spl8_2),
% 32.39/5.02 inference(resolution,[],[f155,f35])).
% 32.39/5.02 tff(f1104,plain,(
% 32.39/5.02 ( ! [X0 : $int] : ($less(X0,abs($product(2,$sum(y2,$uminus(x2))))) | ~$less(X0,sK0)) ) | ~spl8_49),
% 32.39/5.02 inference(resolution,[],[f438,f35])).
% 32.39/5.02 tff(f438,plain,(
% 32.39/5.02 $less(sK0,abs($product(2,$sum(y2,$uminus(x2))))) | ~spl8_49),
% 32.39/5.02 inference(avatar_component_clause,[],[f437])).
% 32.39/5.02 tff(f6010,plain,(
% 32.39/5.02 spl8_687 | ~spl8_557 | ~spl8_13 | ~spl8_49),
% 32.39/5.02 inference(avatar_split_clause,[],[f6003,f437,f215,f4894,f6006])).
% 32.39/5.02 tff(f6006,plain,(
% 32.39/5.02 spl8_687 <=> $less(0,abs($product(2,$sum(y2,$uminus(x2)))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_687])])).
% 32.39/5.02 tff(f215,plain,(
% 32.39/5.02 spl8_13 <=> $less(0,sK2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_13])])).
% 32.39/5.02 tff(f6003,plain,(
% 32.39/5.02 $less(0,abs($product(2,$sum(y2,$uminus(x2))))) | ~$less(sK2,sK0) | (~spl8_13 | ~spl8_49)),
% 32.39/5.02 inference(resolution,[],[f1104,f306])).
% 32.39/5.02 tff(f306,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~$less(sK2,X0) | $less(0,X0)) ) | ~spl8_13),
% 32.39/5.02 inference(resolution,[],[f217,f35])).
% 32.39/5.02 tff(f217,plain,(
% 32.39/5.02 $less(0,sK2) | ~spl8_13),
% 32.39/5.02 inference(avatar_component_clause,[],[f215])).
% 32.39/5.02 tff(f6009,plain,(
% 32.39/5.02 ~spl8_559 | spl8_687 | ~spl8_15 | ~spl8_49),
% 32.39/5.02 inference(avatar_split_clause,[],[f5998,f437,f225,f6006,f4904])).
% 32.39/5.02 tff(f4904,plain,(
% 32.39/5.02 spl8_559 <=> $less($sum(sK2,1),sK0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_559])])).
% 32.39/5.02 tff(f225,plain,(
% 32.39/5.02 spl8_15 <=> $less(0,$sum(sK2,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_15])])).
% 32.39/5.02 tff(f5998,plain,(
% 32.39/5.02 ~$less($sum(sK2,1),sK0) | $less(0,abs($product(2,$sum(y2,$uminus(x2))))) | (~spl8_15 | ~spl8_49)),
% 32.39/5.02 inference(resolution,[],[f1104,f727])).
% 32.39/5.02 tff(f727,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~$less($sum(sK2,1),X0) | $less(0,X0)) ) | ~spl8_15),
% 32.39/5.02 inference(resolution,[],[f227,f35])).
% 32.39/5.02 tff(f227,plain,(
% 32.39/5.02 $less(0,$sum(sK2,1)) | ~spl8_15),
% 32.39/5.02 inference(avatar_component_clause,[],[f225])).
% 32.39/5.02 tff(f5970,plain,(
% 32.39/5.02 ~spl8_686 | ~spl8_674),
% 32.39/5.02 inference(avatar_split_clause,[],[f5960,f5858,f5967])).
% 32.39/5.02 tff(f5858,plain,(
% 32.39/5.02 spl8_674 <=> $less(13,x2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_674])])).
% 32.39/5.02 tff(f5960,plain,(
% 32.39/5.02 ~$less(x2,14) | ~spl8_674),
% 32.39/5.02 inference(evaluation,[],[f5956])).
% 32.39/5.02 tff(f5956,plain,(
% 32.39/5.02 ~$less(x2,$sum(13,1)) | ~spl8_674),
% 32.39/5.02 inference(resolution,[],[f5860,f46])).
% 32.39/5.02 tff(f5860,plain,(
% 32.39/5.02 $less(13,x2) | ~spl8_674),
% 32.39/5.02 inference(avatar_component_clause,[],[f5858])).
% 32.39/5.02 tff(f5965,plain,(
% 32.39/5.02 spl8_685 | ~spl8_674),
% 32.39/5.02 inference(avatar_split_clause,[],[f5955,f5858,f5962])).
% 32.39/5.02 tff(f5962,plain,(
% 32.39/5.02 spl8_685 <=> $less(13,abs(x2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_685])])).
% 32.39/5.02 tff(f5955,plain,(
% 32.39/5.02 $less(13,abs(x2)) | ~spl8_674),
% 32.39/5.02 inference(resolution,[],[f5860,f87])).
% 32.39/5.02 tff(f5954,plain,(
% 32.39/5.02 spl8_684 | ~spl8_26 | ~spl8_49),
% 32.39/5.02 inference(avatar_split_clause,[],[f5919,f437,f291,f5951])).
% 32.39/5.02 tff(f5951,plain,(
% 32.39/5.02 spl8_684 <=> $less(sK0,$sum($uminus(x2),abs($product(2,$sum(y2,$uminus(x2))))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_684])])).
% 32.39/5.02 tff(f291,plain,(
% 32.39/5.02 spl8_26 <=> $less(0,$uminus(x2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_26])])).
% 32.39/5.02 tff(f5919,plain,(
% 32.39/5.02 $less(sK0,$sum($uminus(x2),abs($product(2,$sum(y2,$uminus(x2)))))) | (~spl8_26 | ~spl8_49)),
% 32.39/5.02 inference(resolution,[],[f1103,f705])).
% 32.39/5.02 tff(f705,plain,(
% 32.39/5.02 ( ! [X0 : $int] : ($less(X0,$sum($uminus(x2),X0))) ) | ~spl8_26),
% 32.39/5.02 inference(evaluation,[],[f703])).
% 32.39/5.02 tff(f703,plain,(
% 32.39/5.02 ( ! [X0 : $int] : ($less($sum(0,X0),$sum($uminus(x2),X0))) ) | ~spl8_26),
% 32.39/5.02 inference(resolution,[],[f293,f37])).
% 32.39/5.02 tff(f37,plain,(
% 32.39/5.02 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | $less($sum(X0,X2),$sum(X1,X2))) )),
% 32.39/5.02 introduced(theory_axiom_153,[])).
% 32.39/5.02 tff(f293,plain,(
% 32.39/5.02 $less(0,$uminus(x2)) | ~spl8_26),
% 32.39/5.02 inference(avatar_component_clause,[],[f291])).
% 32.39/5.02 tff(f1103,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~$less(abs($product(2,$sum(y2,$uminus(x2)))),X0) | $less(sK0,X0)) ) | ~spl8_49),
% 32.39/5.02 inference(resolution,[],[f438,f35])).
% 32.39/5.02 tff(f5949,plain,(
% 32.39/5.02 spl8_683 | ~spl8_15 | ~spl8_49),
% 32.39/5.02 inference(avatar_split_clause,[],[f5920,f437,f225,f5946])).
% 32.39/5.02 tff(f5946,plain,(
% 32.39/5.02 spl8_683 <=> $less(sK0,$sum($sum(sK2,1),abs($product(2,$sum(y2,$uminus(x2))))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_683])])).
% 32.39/5.02 tff(f5920,plain,(
% 32.39/5.02 $less(sK0,$sum($sum(sK2,1),abs($product(2,$sum(y2,$uminus(x2)))))) | (~spl8_15 | ~spl8_49)),
% 32.39/5.02 inference(resolution,[],[f1103,f731])).
% 32.39/5.02 tff(f731,plain,(
% 32.39/5.02 ( ! [X0 : $int] : ($less(X0,$sum($sum(sK2,1),X0))) ) | ~spl8_15),
% 32.39/5.02 inference(evaluation,[],[f729])).
% 32.39/5.02 tff(f729,plain,(
% 32.39/5.02 ( ! [X0 : $int] : ($less($sum(0,X0),$sum($sum(sK2,1),X0))) ) | ~spl8_15),
% 32.39/5.02 inference(resolution,[],[f227,f37])).
% 32.39/5.02 tff(f5944,plain,(
% 32.39/5.02 spl8_682 | ~spl8_23 | ~spl8_49),
% 32.39/5.02 inference(avatar_split_clause,[],[f5916,f437,f277,f5941])).
% 32.39/5.02 tff(f5941,plain,(
% 32.39/5.02 spl8_682 <=> $less(sK0,$sum(x2,abs($product(2,$sum(y2,$uminus(x2))))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_682])])).
% 32.39/5.02 tff(f5916,plain,(
% 32.39/5.02 $less(sK0,$sum(x2,abs($product(2,$sum(y2,$uminus(x2)))))) | (~spl8_23 | ~spl8_49)),
% 32.39/5.02 inference(resolution,[],[f1103,f342])).
% 32.39/5.02 tff(f342,plain,(
% 32.39/5.02 ( ! [X0 : $int] : ($less(X0,$sum(x2,X0))) ) | ~spl8_23),
% 32.39/5.02 inference(evaluation,[],[f340])).
% 32.39/5.02 tff(f340,plain,(
% 32.39/5.02 ( ! [X0 : $int] : ($less($sum(0,X0),$sum(x2,X0))) ) | ~spl8_23),
% 32.39/5.02 inference(resolution,[],[f279,f37])).
% 32.39/5.02 tff(f5939,plain,(
% 32.39/5.02 spl8_681 | ~spl8_9 | ~spl8_49),
% 32.39/5.02 inference(avatar_split_clause,[],[f5918,f437,f197,f5936])).
% 32.39/5.02 tff(f5936,plain,(
% 32.39/5.02 spl8_681 <=> $less(sK0,$sum($uminus(sK2),abs($product(2,$sum(y2,$uminus(x2))))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_681])])).
% 32.39/5.02 tff(f197,plain,(
% 32.39/5.02 spl8_9 <=> $less(0,$uminus(sK2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_9])])).
% 32.39/5.02 tff(f5918,plain,(
% 32.39/5.02 $less(sK0,$sum($uminus(sK2),abs($product(2,$sum(y2,$uminus(x2)))))) | (~spl8_9 | ~spl8_49)),
% 32.39/5.02 inference(resolution,[],[f1103,f548])).
% 32.39/5.02 tff(f548,plain,(
% 32.39/5.02 ( ! [X0 : $int] : ($less(X0,$sum($uminus(sK2),X0))) ) | ~spl8_9),
% 32.39/5.02 inference(evaluation,[],[f547])).
% 32.39/5.02 tff(f547,plain,(
% 32.39/5.02 ( ! [X0 : $int] : ($less($sum(0,X0),$sum($uminus(sK2),X0))) ) | ~spl8_9),
% 32.39/5.02 inference(resolution,[],[f199,f37])).
% 32.39/5.02 tff(f199,plain,(
% 32.39/5.02 $less(0,$uminus(sK2)) | ~spl8_9),
% 32.39/5.02 inference(avatar_component_clause,[],[f197])).
% 32.39/5.02 tff(f5934,plain,(
% 32.39/5.02 spl8_680 | ~spl8_22 | ~spl8_49),
% 32.39/5.02 inference(avatar_split_clause,[],[f5921,f437,f272,f5931])).
% 32.39/5.02 tff(f5931,plain,(
% 32.39/5.02 spl8_680 <=> $less(sK0,$sum($sum(x2,1),abs($product(2,$sum(y2,$uminus(x2))))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_680])])).
% 32.39/5.02 tff(f272,plain,(
% 32.39/5.02 spl8_22 <=> $less(0,$sum(x2,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_22])])).
% 32.39/5.02 tff(f5921,plain,(
% 32.39/5.02 $less(sK0,$sum($sum(x2,1),abs($product(2,$sum(y2,$uminus(x2)))))) | (~spl8_22 | ~spl8_49)),
% 32.39/5.02 inference(resolution,[],[f1103,f764])).
% 32.39/5.02 tff(f764,plain,(
% 32.39/5.02 ( ! [X0 : $int] : ($less(X0,$sum($sum(x2,1),X0))) ) | ~spl8_22),
% 32.39/5.02 inference(evaluation,[],[f763])).
% 32.39/5.02 tff(f763,plain,(
% 32.39/5.02 ( ! [X0 : $int] : ($less($sum(0,X0),$sum($sum(x2,1),X0))) ) | ~spl8_22),
% 32.39/5.02 inference(resolution,[],[f274,f37])).
% 32.39/5.02 tff(f274,plain,(
% 32.39/5.02 $less(0,$sum(x2,1)) | ~spl8_22),
% 32.39/5.02 inference(avatar_component_clause,[],[f272])).
% 32.39/5.02 tff(f5929,plain,(
% 32.39/5.02 spl8_679 | ~spl8_13 | ~spl8_49),
% 32.39/5.02 inference(avatar_split_clause,[],[f5922,f437,f215,f5926])).
% 32.39/5.02 tff(f5926,plain,(
% 32.39/5.02 spl8_679 <=> $less(sK0,$sum(sK2,abs($product(2,$sum(y2,$uminus(x2))))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_679])])).
% 32.39/5.02 tff(f5922,plain,(
% 32.39/5.02 $less(sK0,$sum(sK2,abs($product(2,$sum(y2,$uminus(x2)))))) | (~spl8_13 | ~spl8_49)),
% 32.39/5.02 inference(resolution,[],[f1103,f310])).
% 32.39/5.02 tff(f310,plain,(
% 32.39/5.02 ( ! [X0 : $int] : ($less(X0,$sum(sK2,X0))) ) | ~spl8_13),
% 32.39/5.02 inference(evaluation,[],[f308])).
% 32.39/5.02 tff(f308,plain,(
% 32.39/5.02 ( ! [X0 : $int] : ($less($sum(0,X0),$sum(sK2,X0))) ) | ~spl8_13),
% 32.39/5.02 inference(resolution,[],[f217,f37])).
% 32.39/5.02 tff(f5888,plain,(
% 32.39/5.02 spl8_678 | ~spl8_628),
% 32.39/5.02 inference(avatar_split_clause,[],[f5873,f5535,f5885])).
% 32.39/5.02 tff(f5885,plain,(
% 32.39/5.02 spl8_678 <=> $less(13,abs(sK2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_678])])).
% 32.39/5.02 tff(f5535,plain,(
% 32.39/5.02 spl8_628 <=> $less(13,sK2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_628])])).
% 32.39/5.02 tff(f5873,plain,(
% 32.39/5.02 $less(13,abs(sK2)) | ~spl8_628),
% 32.39/5.02 inference(resolution,[],[f5537,f87])).
% 32.39/5.02 tff(f5537,plain,(
% 32.39/5.02 $less(13,sK2) | ~spl8_628),
% 32.39/5.02 inference(avatar_component_clause,[],[f5535])).
% 32.39/5.02 tff(f5883,plain,(
% 32.39/5.02 ~spl8_677 | ~spl8_628),
% 32.39/5.02 inference(avatar_split_clause,[],[f5878,f5535,f5880])).
% 32.39/5.02 tff(f5878,plain,(
% 32.39/5.02 ~$less(sK2,14) | ~spl8_628),
% 32.39/5.02 inference(evaluation,[],[f5874])).
% 32.39/5.02 tff(f5874,plain,(
% 32.39/5.02 ~$less(sK2,$sum(13,1)) | ~spl8_628),
% 32.39/5.02 inference(resolution,[],[f5537,f46])).
% 32.39/5.02 tff(f5870,plain,(
% 32.39/5.02 spl8_676 | spl8_674 | spl8_626),
% 32.39/5.02 inference(avatar_split_clause,[],[f5841,f5519,f5858,f5867])).
% 32.39/5.02 tff(f5867,plain,(
% 32.39/5.02 spl8_676 <=> sQ4_eqProxy(x2,13)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_676])])).
% 32.39/5.02 tff(f5841,plain,(
% 32.39/5.02 sQ4_eqProxy(x2,13) | $less(13,x2) | spl8_626),
% 32.39/5.02 inference(resolution,[],[f5521,f124])).
% 32.39/5.02 tff(f5865,plain,(
% 32.39/5.02 spl8_674 | spl8_675 | spl8_626),
% 32.39/5.02 inference(avatar_split_clause,[],[f5840,f5519,f5862,f5858])).
% 32.39/5.02 tff(f5862,plain,(
% 32.39/5.02 spl8_675 <=> sQ4_eqProxy(13,x2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_675])])).
% 32.39/5.02 tff(f5840,plain,(
% 32.39/5.02 $less(13,x2) | sQ4_eqProxy(13,x2) | spl8_626),
% 32.39/5.02 inference(resolution,[],[f5521,f124])).
% 32.39/5.02 tff(f5856,plain,(
% 32.39/5.02 spl8_672 | ~spl8_673 | spl8_626),
% 32.39/5.02 inference(avatar_split_clause,[],[f5837,f5519,f5853,f5849])).
% 32.39/5.02 tff(f5849,plain,(
% 32.39/5.02 spl8_672 <=> $less(13,$uminus(x2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_672])])).
% 32.39/5.02 tff(f5853,plain,(
% 32.39/5.02 spl8_673 <=> $less(x2,abs(13))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_673])])).
% 32.39/5.02 tff(f5837,plain,(
% 32.39/5.02 $less(13,$uminus(x2)) | ~$less(x2,abs(13)) | spl8_626),
% 32.39/5.02 inference(resolution,[],[f5521,f89])).
% 32.39/5.02 tff(f5847,plain,(
% 32.39/5.02 spl8_671 | spl8_626),
% 32.39/5.02 inference(avatar_split_clause,[],[f5838,f5519,f5844])).
% 32.39/5.02 tff(f5844,plain,(
% 32.39/5.02 spl8_671 <=> $less(13,$sum(x2,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_671])])).
% 32.39/5.02 tff(f5838,plain,(
% 32.39/5.02 $less(13,$sum(x2,1)) | spl8_626),
% 32.39/5.02 inference(resolution,[],[f5521,f38])).
% 32.39/5.02 tff(f5836,plain,(
% 32.39/5.02 spl8_670 | ~spl8_661 | ~spl8_15 | ~spl8_48),
% 32.39/5.02 inference(avatar_split_clause,[],[f5743,f433,f225,f5789,f5833])).
% 32.39/5.02 tff(f5833,plain,(
% 32.39/5.02 spl8_670 <=> $less($product(2,$sum(y2,$uminus(x2))),$sum(sK2,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_670])])).
% 32.39/5.02 tff(f5789,plain,(
% 32.39/5.02 spl8_661 <=> $less($uminus(sK0),0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_661])])).
% 32.39/5.02 tff(f433,plain,(
% 32.39/5.02 spl8_48 <=> $less($product(2,$sum(y2,$uminus(x2))),$uminus(sK0))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_48])])).
% 32.39/5.02 tff(f5743,plain,(
% 32.39/5.02 ~$less($uminus(sK0),0) | $less($product(2,$sum(y2,$uminus(x2))),$sum(sK2,1)) | (~spl8_15 | ~spl8_48)),
% 32.39/5.02 inference(resolution,[],[f1087,f728])).
% 32.39/5.02 tff(f728,plain,(
% 32.39/5.02 ( ! [X0 : $int] : ($less(X0,$sum(sK2,1)) | ~$less(X0,0)) ) | ~spl8_15),
% 32.39/5.02 inference(resolution,[],[f227,f35])).
% 32.39/5.02 tff(f1087,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~$less($uminus(sK0),X0) | $less($product(2,$sum(y2,$uminus(x2))),X0)) ) | ~spl8_48),
% 32.39/5.02 inference(resolution,[],[f435,f35])).
% 32.39/5.02 tff(f435,plain,(
% 32.39/5.02 $less($product(2,$sum(y2,$uminus(x2))),$uminus(sK0)) | ~spl8_48),
% 32.39/5.02 inference(avatar_component_clause,[],[f433])).
% 32.39/5.02 tff(f5831,plain,(
% 32.39/5.02 spl8_669 | ~spl8_13 | ~spl8_48),
% 32.39/5.02 inference(avatar_split_clause,[],[f5742,f433,f215,f5828])).
% 32.39/5.02 tff(f5828,plain,(
% 32.39/5.02 spl8_669 <=> $less($product(2,$sum(y2,$uminus(x2))),$sum(sK2,$uminus(sK0)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_669])])).
% 32.39/5.02 tff(f5742,plain,(
% 32.39/5.02 $less($product(2,$sum(y2,$uminus(x2))),$sum(sK2,$uminus(sK0))) | (~spl8_13 | ~spl8_48)),
% 32.39/5.02 inference(resolution,[],[f1087,f310])).
% 32.39/5.02 tff(f5826,plain,(
% 32.39/5.02 spl8_668 | ~spl8_26 | ~spl8_48),
% 32.39/5.02 inference(avatar_split_clause,[],[f5739,f433,f291,f5823])).
% 32.39/5.02 tff(f5823,plain,(
% 32.39/5.02 spl8_668 <=> $less($product(2,$sum(y2,$uminus(x2))),$sum($uminus(x2),$uminus(sK0)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_668])])).
% 32.39/5.02 tff(f5739,plain,(
% 32.39/5.02 $less($product(2,$sum(y2,$uminus(x2))),$sum($uminus(x2),$uminus(sK0))) | (~spl8_26 | ~spl8_48)),
% 32.39/5.02 inference(resolution,[],[f1087,f705])).
% 32.39/5.02 tff(f5821,plain,(
% 32.39/5.02 spl8_667 | ~spl8_22 | ~spl8_48),
% 32.39/5.02 inference(avatar_split_clause,[],[f5741,f433,f272,f5818])).
% 32.39/5.02 tff(f5818,plain,(
% 32.39/5.02 spl8_667 <=> $less($product(2,$sum(y2,$uminus(x2))),$sum($sum(x2,1),$uminus(sK0)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_667])])).
% 32.39/5.02 tff(f5741,plain,(
% 32.39/5.02 $less($product(2,$sum(y2,$uminus(x2))),$sum($sum(x2,1),$uminus(sK0))) | (~spl8_22 | ~spl8_48)),
% 32.39/5.02 inference(resolution,[],[f1087,f764])).
% 32.39/5.02 tff(f5816,plain,(
% 32.39/5.02 spl8_666 | ~spl8_661 | ~spl8_9 | ~spl8_48),
% 32.39/5.02 inference(avatar_split_clause,[],[f5734,f433,f197,f5789,f5813])).
% 32.39/5.02 tff(f5813,plain,(
% 32.39/5.02 spl8_666 <=> $less($product(2,$sum(y2,$uminus(x2))),$uminus(sK2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_666])])).
% 32.39/5.02 tff(f5734,plain,(
% 32.39/5.02 ~$less($uminus(sK0),0) | $less($product(2,$sum(y2,$uminus(x2))),$uminus(sK2)) | (~spl8_9 | ~spl8_48)),
% 32.39/5.02 inference(resolution,[],[f1087,f546])).
% 32.39/5.02 tff(f546,plain,(
% 32.39/5.02 ( ! [X0 : $int] : ($less(X0,$uminus(sK2)) | ~$less(X0,0)) ) | ~spl8_9),
% 32.39/5.02 inference(resolution,[],[f199,f35])).
% 32.39/5.02 tff(f5811,plain,(
% 32.39/5.02 ~spl8_665 | spl8_656 | ~spl8_10 | ~spl8_48),
% 32.39/5.02 inference(avatar_split_clause,[],[f5727,f433,f201,f5766,f5807])).
% 32.39/5.02 tff(f5807,plain,(
% 32.39/5.02 spl8_665 <=> $less($uminus(sK0),sK2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_665])])).
% 32.39/5.02 tff(f5766,plain,(
% 32.39/5.02 spl8_656 <=> $less($product(2,$sum(y2,$uminus(x2))),abs(0))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_656])])).
% 32.39/5.02 tff(f201,plain,(
% 32.39/5.02 spl8_10 <=> $less(sK2,abs(0))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_10])])).
% 32.39/5.02 tff(f5727,plain,(
% 32.39/5.02 ~$less($uminus(sK0),sK2) | $less($product(2,$sum(y2,$uminus(x2))),abs(0)) | (~spl8_10 | ~spl8_48)),
% 32.39/5.02 inference(resolution,[],[f1087,f580])).
% 32.39/5.02 tff(f580,plain,(
% 32.39/5.02 ( ! [X0 : $int] : ($less(X0,abs(0)) | ~$less(X0,sK2)) ) | ~spl8_10),
% 32.39/5.02 inference(resolution,[],[f202,f35])).
% 32.39/5.02 tff(f202,plain,(
% 32.39/5.02 $less(sK2,abs(0)) | ~spl8_10),
% 32.39/5.02 inference(avatar_component_clause,[],[f201])).
% 32.39/5.02 tff(f5810,plain,(
% 32.39/5.02 ~spl8_665 | spl8_660 | ~spl8_19 | ~spl8_48),
% 32.39/5.02 inference(avatar_split_clause,[],[f5733,f433,f250,f5785,f5807])).
% 32.39/5.02 tff(f5785,plain,(
% 32.39/5.02 spl8_660 <=> $less($product(2,$sum(y2,$uminus(x2))),$uminus(x2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_660])])).
% 32.39/5.02 tff(f250,plain,(
% 32.39/5.02 spl8_19 <=> $less(sK2,$uminus(x2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_19])])).
% 32.39/5.02 tff(f5733,plain,(
% 32.39/5.02 $less($product(2,$sum(y2,$uminus(x2))),$uminus(x2)) | ~$less($uminus(sK0),sK2) | (~spl8_19 | ~spl8_48)),
% 32.39/5.02 inference(resolution,[],[f1087,f633])).
% 32.39/5.02 tff(f633,plain,(
% 32.39/5.02 ( ! [X0 : $int] : ($less(X0,$uminus(x2)) | ~$less(X0,sK2)) ) | ~spl8_19),
% 32.39/5.02 inference(resolution,[],[f252,f35])).
% 32.39/5.02 tff(f252,plain,(
% 32.39/5.02 $less(sK2,$uminus(x2)) | ~spl8_19),
% 32.39/5.02 inference(avatar_component_clause,[],[f250])).
% 32.39/5.02 tff(f5805,plain,(
% 32.39/5.02 ~spl8_663 | spl8_664 | ~spl8_38 | ~spl8_48),
% 32.39/5.02 inference(avatar_split_clause,[],[f5731,f433,f374,f5802,f5798])).
% 32.39/5.02 tff(f5798,plain,(
% 32.39/5.02 spl8_663 <=> $less($uminus(sK0),sK0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_663])])).
% 32.39/5.02 tff(f5802,plain,(
% 32.39/5.02 spl8_664 <=> $less($product(2,$sum(y2,$uminus(x2))),$uminus($product(2,y2)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_664])])).
% 32.39/5.02 tff(f374,plain,(
% 32.39/5.02 spl8_38 <=> $less(sK0,$uminus($product(2,y2)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_38])])).
% 32.39/5.02 tff(f5731,plain,(
% 32.39/5.02 $less($product(2,$sum(y2,$uminus(x2))),$uminus($product(2,y2))) | ~$less($uminus(sK0),sK0) | (~spl8_38 | ~spl8_48)),
% 32.39/5.02 inference(resolution,[],[f1087,f963])).
% 32.39/5.02 tff(f963,plain,(
% 32.39/5.02 ( ! [X0 : $int] : ($less(X0,$uminus($product(2,y2))) | ~$less(X0,sK0)) ) | ~spl8_38),
% 32.39/5.02 inference(resolution,[],[f376,f35])).
% 32.39/5.02 tff(f376,plain,(
% 32.39/5.02 $less(sK0,$uminus($product(2,y2))) | ~spl8_38),
% 32.39/5.02 inference(avatar_component_clause,[],[f374])).
% 32.39/5.02 tff(f5796,plain,(
% 32.39/5.02 spl8_662 | spl8_659 | ~spl8_48),
% 32.39/5.02 inference(avatar_split_clause,[],[f5723,f433,f5780,f5794])).
% 32.39/5.02 tff(f5794,plain,(
% 32.39/5.02 spl8_662 <=> ! [X0 : $int,X1 : $int] : ($less(X0,X1) | ~$less($product(X0,$uminus(sK0)),$product(X1,$uminus(sK0))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_662])])).
% 32.39/5.02 tff(f5780,plain,(
% 32.39/5.02 spl8_659 <=> $less($product(2,$sum(y2,$uminus(x2))),0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_659])])).
% 32.39/5.02 tff(f5723,plain,(
% 32.39/5.02 ( ! [X0 : $int,X1 : $int] : ($less($product(2,$sum(y2,$uminus(x2))),0) | $less(X0,X1) | ~$less($product(X0,$uminus(sK0)),$product(X1,$uminus(sK0)))) ) | ~spl8_48),
% 32.39/5.02 inference(resolution,[],[f1087,f93])).
% 32.39/5.02 tff(f5792,plain,(
% 32.39/5.02 spl8_660 | ~spl8_661 | ~spl8_26 | ~spl8_48),
% 32.39/5.02 inference(avatar_split_clause,[],[f5732,f433,f291,f5789,f5785])).
% 32.39/5.02 tff(f5732,plain,(
% 32.39/5.02 $less($product(2,$sum(y2,$uminus(x2))),$uminus(x2)) | ~$less($uminus(sK0),0) | (~spl8_26 | ~spl8_48)),
% 32.39/5.02 inference(resolution,[],[f1087,f702])).
% 32.39/5.02 tff(f702,plain,(
% 32.39/5.02 ( ! [X0 : $int] : ($less(X0,$uminus(x2)) | ~$less(X0,0)) ) | ~spl8_26),
% 32.39/5.02 inference(resolution,[],[f293,f35])).
% 32.39/5.02 tff(f5783,plain,(
% 32.39/5.02 spl8_658 | spl8_659 | ~spl8_48),
% 32.39/5.02 inference(avatar_split_clause,[],[f5722,f433,f5780,f5776])).
% 32.39/5.02 tff(f5776,plain,(
% 32.39/5.02 spl8_658 <=> sQ4_eqProxy(abs($uminus(sK0)),$uminus(sK0))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_658])])).
% 32.39/5.02 tff(f5722,plain,(
% 32.39/5.02 sQ4_eqProxy(abs($uminus(sK0)),$uminus(sK0)) | $less($product(2,$sum(y2,$uminus(x2))),0) | ~spl8_48),
% 32.39/5.02 inference(resolution,[],[f1087,f127])).
% 32.39/5.02 tff(f5774,plain,(
% 32.39/5.02 spl8_657 | ~spl8_15 | ~spl8_48),
% 32.39/5.02 inference(avatar_split_clause,[],[f5740,f433,f225,f5771])).
% 32.39/5.02 tff(f5771,plain,(
% 32.39/5.02 spl8_657 <=> $less($product(2,$sum(y2,$uminus(x2))),$sum($sum(sK2,1),$uminus(sK0)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_657])])).
% 32.39/5.02 tff(f5740,plain,(
% 32.39/5.02 $less($product(2,$sum(y2,$uminus(x2))),$sum($sum(sK2,1),$uminus(sK0))) | (~spl8_15 | ~spl8_48)),
% 32.39/5.02 inference(resolution,[],[f1087,f731])).
% 32.39/5.02 tff(f5769,plain,(
% 32.39/5.02 spl8_656 | ~spl8_655 | ~spl8_27 | ~spl8_48),
% 32.39/5.02 inference(avatar_split_clause,[],[f5726,f433,f295,f5761,f5766])).
% 32.39/5.02 tff(f5761,plain,(
% 32.39/5.02 spl8_655 <=> $less($uminus(sK0),x2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_655])])).
% 32.39/5.02 tff(f295,plain,(
% 32.39/5.02 spl8_27 <=> $less(x2,abs(0))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_27])])).
% 32.39/5.02 tff(f5726,plain,(
% 32.39/5.02 $less($product(2,$sum(y2,$uminus(x2))),abs(0)) | ~$less($uminus(sK0),x2) | (~spl8_27 | ~spl8_48)),
% 32.39/5.02 inference(resolution,[],[f1087,f720])).
% 32.39/5.02 tff(f720,plain,(
% 32.39/5.02 ( ! [X0 : $int] : ($less(X0,abs(0)) | ~$less(X0,x2)) ) | ~spl8_27),
% 32.39/5.02 inference(resolution,[],[f296,f35])).
% 32.39/5.02 tff(f296,plain,(
% 32.39/5.02 $less(x2,abs(0)) | ~spl8_27),
% 32.39/5.02 inference(avatar_component_clause,[],[f295])).
% 32.39/5.02 tff(f5764,plain,(
% 32.39/5.02 spl8_654 | ~spl8_655 | ~spl8_20 | ~spl8_48),
% 32.39/5.02 inference(avatar_split_clause,[],[f5729,f433,f254,f5761,f5757])).
% 32.39/5.02 tff(f5757,plain,(
% 32.39/5.02 spl8_654 <=> $less($product(2,$sum(y2,$uminus(x2))),abs(sK2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_654])])).
% 32.39/5.02 tff(f254,plain,(
% 32.39/5.02 spl8_20 <=> $less(x2,abs(sK2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_20])])).
% 32.39/5.02 tff(f5729,plain,(
% 32.39/5.02 ~$less($uminus(sK0),x2) | $less($product(2,$sum(y2,$uminus(x2))),abs(sK2)) | (~spl8_20 | ~spl8_48)),
% 32.39/5.02 inference(resolution,[],[f1087,f649])).
% 32.39/5.02 tff(f649,plain,(
% 32.39/5.02 ( ! [X0 : $int] : ($less(X0,abs(sK2)) | ~$less(X0,x2)) ) | ~spl8_20),
% 32.39/5.02 inference(resolution,[],[f255,f35])).
% 32.39/5.02 tff(f255,plain,(
% 32.39/5.02 $less(x2,abs(sK2)) | ~spl8_20),
% 32.39/5.02 inference(avatar_component_clause,[],[f254])).
% 32.39/5.02 tff(f5755,plain,(
% 32.39/5.02 spl8_653 | ~spl8_9 | ~spl8_48),
% 32.39/5.02 inference(avatar_split_clause,[],[f5738,f433,f197,f5752])).
% 32.39/5.02 tff(f5752,plain,(
% 32.39/5.02 spl8_653 <=> $less($product(2,$sum(y2,$uminus(x2))),$sum($uminus(sK2),$uminus(sK0)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_653])])).
% 32.39/5.02 tff(f5738,plain,(
% 32.39/5.02 $less($product(2,$sum(y2,$uminus(x2))),$sum($uminus(sK2),$uminus(sK0))) | (~spl8_9 | ~spl8_48)),
% 32.39/5.02 inference(resolution,[],[f1087,f548])).
% 32.39/5.02 tff(f5750,plain,(
% 32.39/5.02 spl8_652 | ~spl8_23 | ~spl8_48),
% 32.39/5.02 inference(avatar_split_clause,[],[f5736,f433,f277,f5747])).
% 32.39/5.02 tff(f5747,plain,(
% 32.39/5.02 spl8_652 <=> $less($product(2,$sum(y2,$uminus(x2))),$sum(x2,$uminus(sK0)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_652])])).
% 32.39/5.02 tff(f5736,plain,(
% 32.39/5.02 $less($product(2,$sum(y2,$uminus(x2))),$sum(x2,$uminus(sK0))) | (~spl8_23 | ~spl8_48)),
% 32.39/5.02 inference(resolution,[],[f1087,f342])).
% 32.39/5.02 tff(f5709,plain,(
% 32.39/5.02 ~spl8_651 | ~spl8_140),
% 32.39/5.02 inference(avatar_split_clause,[],[f5696,f1177,f5706])).
% 32.39/5.02 tff(f5706,plain,(
% 32.39/5.02 spl8_651 <=> $less(abs($sum(sK0,1)),$sum($product(2,$sum(y2,$uminus(x2))),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_651])])).
% 32.39/5.02 tff(f1177,plain,(
% 32.39/5.02 spl8_140 <=> $less($product(2,$sum(y2,$uminus(x2))),abs($sum(sK0,1)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_140])])).
% 32.39/5.02 tff(f5696,plain,(
% 32.39/5.02 ~$less(abs($sum(sK0,1)),$sum($product(2,$sum(y2,$uminus(x2))),1)) | ~spl8_140),
% 32.39/5.02 inference(resolution,[],[f1179,f46])).
% 32.39/5.02 tff(f1179,plain,(
% 32.39/5.02 $less($product(2,$sum(y2,$uminus(x2))),abs($sum(sK0,1))) | ~spl8_140),
% 32.39/5.02 inference(avatar_component_clause,[],[f1177])).
% 32.39/5.02 tff(f5704,plain,(
% 32.39/5.02 spl8_650 | ~spl8_140),
% 32.39/5.02 inference(avatar_split_clause,[],[f5695,f1177,f5701])).
% 32.39/5.02 tff(f5701,plain,(
% 32.39/5.02 spl8_650 <=> $less($product(2,$sum(y2,$uminus(x2))),abs(abs($sum(sK0,1))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_650])])).
% 32.39/5.02 tff(f5695,plain,(
% 32.39/5.02 $less($product(2,$sum(y2,$uminus(x2))),abs(abs($sum(sK0,1)))) | ~spl8_140),
% 32.39/5.02 inference(resolution,[],[f1179,f87])).
% 32.39/5.02 tff(f5693,plain,(
% 32.39/5.02 spl8_649 | spl8_599 | spl8_133),
% 32.39/5.02 inference(avatar_split_clause,[],[f5680,f1091,f5276,f5690])).
% 32.39/5.02 tff(f5690,plain,(
% 32.39/5.02 spl8_649 <=> sQ4_eqProxy($sum($product(2,$sum(y2,$uminus(x2))),1),$uminus(sK0))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_649])])).
% 32.39/5.02 tff(f5276,plain,(
% 32.39/5.02 spl8_599 <=> $less($sum($product(2,$sum(y2,$uminus(x2))),1),$uminus(sK0))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_599])])).
% 32.39/5.02 tff(f5680,plain,(
% 32.39/5.02 sQ4_eqProxy($sum($product(2,$sum(y2,$uminus(x2))),1),$uminus(sK0)) | $less($sum($product(2,$sum(y2,$uminus(x2))),1),$uminus(sK0)) | spl8_133),
% 32.39/5.02 inference(resolution,[],[f1093,f124])).
% 32.39/5.02 tff(f5688,plain,(
% 32.39/5.02 spl8_648 | spl8_599 | spl8_133),
% 32.39/5.02 inference(avatar_split_clause,[],[f5681,f1091,f5276,f5685])).
% 32.39/5.02 tff(f5685,plain,(
% 32.39/5.02 spl8_648 <=> sQ4_eqProxy($uminus(sK0),$sum($product(2,$sum(y2,$uminus(x2))),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_648])])).
% 32.39/5.02 tff(f5681,plain,(
% 32.39/5.02 sQ4_eqProxy($uminus(sK0),$sum($product(2,$sum(y2,$uminus(x2))),1)) | $less($sum($product(2,$sum(y2,$uminus(x2))),1),$uminus(sK0)) | spl8_133),
% 32.39/5.02 inference(resolution,[],[f1093,f124])).
% 32.39/5.02 tff(f5675,plain,(
% 32.39/5.02 spl8_646 | ~spl8_647 | spl8_129),
% 32.39/5.02 inference(avatar_split_clause,[],[f5647,f1065,f5672,f5668])).
% 32.39/5.02 tff(f5668,plain,(
% 32.39/5.02 spl8_646 <=> $less($sum(sK0,1),$uminus(abs($product(2,$sum(y2,$uminus(x2))))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_646])])).
% 32.39/5.02 tff(f5672,plain,(
% 32.39/5.02 spl8_647 <=> $less(abs($product(2,$sum(y2,$uminus(x2)))),abs($sum(sK0,1)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_647])])).
% 32.39/5.02 tff(f5647,plain,(
% 32.39/5.02 $less($sum(sK0,1),$uminus(abs($product(2,$sum(y2,$uminus(x2)))))) | ~$less(abs($product(2,$sum(y2,$uminus(x2)))),abs($sum(sK0,1))) | spl8_129),
% 32.39/5.02 inference(resolution,[],[f1066,f89])).
% 32.39/5.02 tff(f5666,plain,(
% 32.39/5.02 spl8_643 | spl8_645 | spl8_129),
% 32.39/5.02 inference(avatar_split_clause,[],[f5650,f1065,f5663,f5654])).
% 32.39/5.02 tff(f5654,plain,(
% 32.39/5.02 spl8_643 <=> $less($sum(sK0,1),abs($product(2,$sum(y2,$uminus(x2)))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_643])])).
% 32.39/5.02 tff(f5663,plain,(
% 32.39/5.02 spl8_645 <=> sQ4_eqProxy($sum(sK0,1),abs($product(2,$sum(y2,$uminus(x2)))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_645])])).
% 32.39/5.02 tff(f5650,plain,(
% 32.39/5.02 $less($sum(sK0,1),abs($product(2,$sum(y2,$uminus(x2))))) | sQ4_eqProxy($sum(sK0,1),abs($product(2,$sum(y2,$uminus(x2))))) | spl8_129),
% 32.39/5.02 inference(resolution,[],[f1066,f124])).
% 32.39/5.02 tff(f5661,plain,(
% 32.39/5.02 spl8_643 | spl8_644 | spl8_129),
% 32.39/5.02 inference(avatar_split_clause,[],[f5651,f1065,f5658,f5654])).
% 32.39/5.02 tff(f5658,plain,(
% 32.39/5.02 spl8_644 <=> sQ4_eqProxy(abs($product(2,$sum(y2,$uminus(x2)))),$sum(sK0,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_644])])).
% 32.39/5.02 tff(f5651,plain,(
% 32.39/5.02 $less($sum(sK0,1),abs($product(2,$sum(y2,$uminus(x2))))) | sQ4_eqProxy(abs($product(2,$sum(y2,$uminus(x2)))),$sum(sK0,1)) | spl8_129),
% 32.39/5.02 inference(resolution,[],[f1066,f124])).
% 32.39/5.02 tff(f5638,plain,(
% 32.39/5.02 spl8_642 | spl8_130),
% 32.39/5.02 inference(avatar_split_clause,[],[f5620,f1070,f5635])).
% 32.39/5.02 tff(f5635,plain,(
% 32.39/5.02 spl8_642 <=> $less(sK0,$sum(abs($product(2,$sum(y2,$uminus(x2)))),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_642])])).
% 32.39/5.02 tff(f5620,plain,(
% 32.39/5.02 $less(sK0,$sum(abs($product(2,$sum(y2,$uminus(x2)))),1)) | spl8_130),
% 32.39/5.02 inference(resolution,[],[f1071,f38])).
% 32.39/5.02 tff(f5633,plain,(
% 32.39/5.02 spl8_640 | ~spl8_641 | spl8_130),
% 32.39/5.02 inference(avatar_split_clause,[],[f5619,f1070,f5630,f5626])).
% 32.39/5.02 tff(f5626,plain,(
% 32.39/5.02 spl8_640 <=> $less(sK0,$uminus(abs($product(2,$sum(y2,$uminus(x2))))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_640])])).
% 32.39/5.02 tff(f5630,plain,(
% 32.39/5.02 spl8_641 <=> $less(abs($product(2,$sum(y2,$uminus(x2)))),abs(sK0))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_641])])).
% 32.39/5.02 tff(f5619,plain,(
% 32.39/5.02 ~$less(abs($product(2,$sum(y2,$uminus(x2)))),abs(sK0)) | $less(sK0,$uminus(abs($product(2,$sum(y2,$uminus(x2)))))) | spl8_130),
% 32.39/5.02 inference(resolution,[],[f1071,f89])).
% 32.39/5.02 tff(f5618,plain,(
% 32.39/5.02 spl8_637 | ~spl8_17 | ~spl8_46 | ~spl8_246),
% 32.39/5.02 inference(avatar_split_clause,[],[f5617,f2000,f424,f240,f5603])).
% 32.39/5.02 tff(f5603,plain,(
% 32.39/5.02 spl8_637 <=> $less($product(2,$sum(y2,$uminus(x2))),x2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_637])])).
% 32.39/5.02 tff(f424,plain,(
% 32.39/5.02 spl8_46 <=> $less($product(2,$sum(y2,$uminus(x2))),sK0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_46])])).
% 32.39/5.02 tff(f2000,plain,(
% 32.39/5.02 spl8_246 <=> $less(sK0,sK2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_246])])).
% 32.39/5.02 tff(f5617,plain,(
% 32.39/5.02 $less($product(2,$sum(y2,$uminus(x2))),x2) | (~spl8_17 | ~spl8_46 | ~spl8_246)),
% 32.39/5.02 inference(subsumption_resolution,[],[f5581,f2002])).
% 32.39/5.02 tff(f2002,plain,(
% 32.39/5.02 $less(sK0,sK2) | ~spl8_246),
% 32.39/5.02 inference(avatar_component_clause,[],[f2000])).
% 32.39/5.02 tff(f5581,plain,(
% 32.39/5.02 ~$less(sK0,sK2) | $less($product(2,$sum(y2,$uminus(x2))),x2) | (~spl8_17 | ~spl8_46)),
% 32.39/5.02 inference(resolution,[],[f1034,f324])).
% 32.39/5.02 tff(f324,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~$less(X0,sK2) | $less(X0,x2)) ) | ~spl8_17),
% 32.39/5.02 inference(resolution,[],[f242,f35])).
% 32.39/5.02 tff(f1034,plain,(
% 32.39/5.02 ( ! [X0 : $int] : ($less($product(2,$sum(y2,$uminus(x2))),X0) | ~$less(sK0,X0)) ) | ~spl8_46),
% 32.39/5.02 inference(resolution,[],[f426,f35])).
% 32.39/5.02 tff(f426,plain,(
% 32.39/5.02 $less($product(2,$sum(y2,$uminus(x2))),sK0) | ~spl8_46),
% 32.39/5.02 inference(avatar_component_clause,[],[f424])).
% 32.39/5.02 tff(f5616,plain,(
% 32.39/5.02 ~spl8_130 | spl8_4 | ~spl8_38 | ~spl8_46),
% 32.39/5.02 inference(avatar_split_clause,[],[f5615,f424,f374,f163,f1070])).
% 32.39/5.02 tff(f5615,plain,(
% 32.39/5.02 ~$less(abs($product(2,$sum(y2,$uminus(x2)))),sK0) | (spl8_4 | ~spl8_38 | ~spl8_46)),
% 32.39/5.02 inference(subsumption_resolution,[],[f5576,f376])).
% 32.39/5.02 tff(f5576,plain,(
% 32.39/5.02 ~$less(abs($product(2,$sum(y2,$uminus(x2)))),sK0) | ~$less(sK0,$uminus($product(2,y2))) | (spl8_4 | ~spl8_46)),
% 32.39/5.02 inference(resolution,[],[f1034,f1009])).
% 32.39/5.02 tff(f1009,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~$less(X0,$uminus($product(2,y2))) | ~$less(abs(X0),sK0)) ) | spl8_4),
% 32.39/5.02 inference(resolution,[],[f355,f88])).
% 32.39/5.02 tff(f88,plain,(
% 32.39/5.02 ( ! [X0 : $int,X1 : $int] : (~$less(X1,$uminus(X0)) | $less(X0,abs(X1))) )),
% 32.39/5.02 inference(cnf_transformation,[],[f62])).
% 32.39/5.02 tff(f355,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~$less($product(2,y2),X0) | ~$less(X0,sK0)) ) | spl8_4),
% 32.39/5.02 inference(resolution,[],[f165,f35])).
% 32.39/5.02 tff(f5614,plain,(
% 32.39/5.02 spl8_638 | spl8_639 | ~spl8_46),
% 32.39/5.02 inference(avatar_split_clause,[],[f5562,f424,f5611,f5608])).
% 32.39/5.02 tff(f5608,plain,(
% 32.39/5.02 spl8_638 <=> ! [X0 : $int] : (~$less(sK0,$product(X0,$sum(y2,$uminus(x2)))) | $less(2,X0))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_638])])).
% 32.39/5.02 tff(f5562,plain,(
% 32.39/5.02 ( ! [X0 : $int] : ($less($sum(y2,$uminus(x2)),0) | ~$less(sK0,$product(X0,$sum(y2,$uminus(x2)))) | $less(2,X0)) ) | ~spl8_46),
% 32.39/5.02 inference(resolution,[],[f1034,f93])).
% 32.39/5.02 tff(f5606,plain,(
% 32.39/5.02 spl8_637 | ~spl8_23 | ~spl8_46 | ~spl8_137),
% 32.39/5.02 inference(avatar_split_clause,[],[f5601,f1132,f424,f277,f5603])).
% 32.39/5.02 tff(f1132,plain,(
% 32.39/5.02 spl8_137 <=> $less(sK0,0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_137])])).
% 32.39/5.02 tff(f5601,plain,(
% 32.39/5.02 $less($product(2,$sum(y2,$uminus(x2))),x2) | (~spl8_23 | ~spl8_46 | ~spl8_137)),
% 32.39/5.02 inference(subsumption_resolution,[],[f5569,f1134])).
% 32.39/5.02 tff(f1134,plain,(
% 32.39/5.02 $less(sK0,0) | ~spl8_137),
% 32.39/5.02 inference(avatar_component_clause,[],[f1132])).
% 32.39/5.02 tff(f5569,plain,(
% 32.39/5.02 $less($product(2,$sum(y2,$uminus(x2))),x2) | ~$less(sK0,0) | (~spl8_23 | ~spl8_46)),
% 32.39/5.02 inference(resolution,[],[f1034,f339])).
% 32.39/5.02 tff(f339,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,x2)) ) | ~spl8_23),
% 32.39/5.02 inference(resolution,[],[f279,f35])).
% 32.39/5.02 tff(f5600,plain,(
% 32.39/5.02 spl8_636 | ~spl8_13 | ~spl8_46 | ~spl8_137),
% 32.39/5.02 inference(avatar_split_clause,[],[f5595,f1132,f424,f215,f5597])).
% 32.39/5.02 tff(f5597,plain,(
% 32.39/5.02 spl8_636 <=> $less($product(2,$sum(y2,$uminus(x2))),sK2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_636])])).
% 32.39/5.02 tff(f5595,plain,(
% 32.39/5.02 $less($product(2,$sum(y2,$uminus(x2))),sK2) | (~spl8_13 | ~spl8_46 | ~spl8_137)),
% 32.39/5.02 inference(subsumption_resolution,[],[f5570,f1134])).
% 32.39/5.02 tff(f5570,plain,(
% 32.39/5.02 $less($product(2,$sum(y2,$uminus(x2))),sK2) | ~$less(sK0,0) | (~spl8_13 | ~spl8_46)),
% 32.39/5.02 inference(resolution,[],[f1034,f307])).
% 32.39/5.02 tff(f307,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,sK2)) ) | ~spl8_13),
% 32.39/5.02 inference(resolution,[],[f217,f35])).
% 32.39/5.02 tff(f5594,plain,(
% 32.39/5.02 spl8_635 | ~spl8_46 | ~spl8_137),
% 32.39/5.02 inference(avatar_split_clause,[],[f5589,f1132,f424,f5591])).
% 32.39/5.02 tff(f5591,plain,(
% 32.39/5.02 spl8_635 <=> sQ4_eqProxy($uminus($product(2,$sum(y2,$uminus(x2)))),abs($product(2,$sum(y2,$uminus(x2)))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_635])])).
% 32.39/5.02 tff(f5589,plain,(
% 32.39/5.02 sQ4_eqProxy($uminus($product(2,$sum(y2,$uminus(x2)))),abs($product(2,$sum(y2,$uminus(x2))))) | (~spl8_46 | ~spl8_137)),
% 32.39/5.02 inference(subsumption_resolution,[],[f5571,f1134])).
% 32.39/5.02 tff(f5571,plain,(
% 32.39/5.02 ~$less(sK0,0) | sQ4_eqProxy($uminus($product(2,$sum(y2,$uminus(x2)))),abs($product(2,$sum(y2,$uminus(x2))))) | ~spl8_46),
% 32.39/5.02 inference(resolution,[],[f1034,f128])).
% 32.39/5.02 tff(f128,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (sQ4_eqProxy($uminus(X0),abs(X0)) | ~$less(X0,0)) )),
% 32.39/5.02 inference(equality_proxy_replacement,[],[f99,f105])).
% 32.39/5.02 tff(f99,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~$less(X0,0) | $uminus(X0) = abs(X0)) )),
% 32.39/5.02 inference(cnf_transformation,[],[f72])).
% 32.39/5.02 tff(f5588,plain,(
% 32.39/5.02 spl8_634 | ~spl8_21 | ~spl8_46 | ~spl8_246),
% 32.39/5.02 inference(avatar_split_clause,[],[f5583,f2000,f424,f259,f5585])).
% 32.39/5.02 tff(f5585,plain,(
% 32.39/5.02 spl8_634 <=> $less($product(2,$sum(y2,$uminus(x2))),$sum(x2,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_634])])).
% 32.39/5.02 tff(f259,plain,(
% 32.39/5.02 spl8_21 <=> $less(sK2,$sum(x2,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_21])])).
% 32.39/5.02 tff(f5583,plain,(
% 32.39/5.02 $less($product(2,$sum(y2,$uminus(x2))),$sum(x2,1)) | (~spl8_21 | ~spl8_46 | ~spl8_246)),
% 32.39/5.02 inference(subsumption_resolution,[],[f5580,f2002])).
% 32.39/5.02 tff(f5580,plain,(
% 32.39/5.02 ~$less(sK0,sK2) | $less($product(2,$sum(y2,$uminus(x2))),$sum(x2,1)) | (~spl8_21 | ~spl8_46)),
% 32.39/5.02 inference(resolution,[],[f1034,f746])).
% 32.39/5.02 tff(f746,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~$less(X0,sK2) | $less(X0,$sum(x2,1))) ) | ~spl8_21),
% 32.39/5.02 inference(resolution,[],[f261,f35])).
% 32.39/5.02 tff(f261,plain,(
% 32.39/5.02 $less(sK2,$sum(x2,1)) | ~spl8_21),
% 32.39/5.02 inference(avatar_component_clause,[],[f259])).
% 32.39/5.02 tff(f5561,plain,(
% 32.39/5.02 spl8_633 | spl8_624),
% 32.39/5.02 inference(avatar_split_clause,[],[f5529,f5503,f5558])).
% 32.39/5.02 tff(f5558,plain,(
% 32.39/5.02 spl8_633 <=> $less(13,$sum(sK2,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_633])])).
% 32.39/5.02 tff(f5529,plain,(
% 32.39/5.02 $less(13,$sum(sK2,1)) | spl8_624),
% 32.39/5.02 inference(resolution,[],[f5505,f38])).
% 32.39/5.02 tff(f5556,plain,(
% 32.39/5.02 spl8_632 | spl8_628 | spl8_624),
% 32.39/5.02 inference(avatar_split_clause,[],[f5531,f5503,f5535,f5553])).
% 32.39/5.02 tff(f5553,plain,(
% 32.39/5.02 spl8_632 <=> sQ4_eqProxy(13,sK2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_632])])).
% 32.39/5.02 tff(f5531,plain,(
% 32.39/5.02 $less(13,sK2) | sQ4_eqProxy(13,sK2) | spl8_624),
% 32.39/5.02 inference(resolution,[],[f5505,f124])).
% 32.39/5.02 tff(f5551,plain,(
% 32.39/5.02 ~spl8_630 | spl8_631 | spl8_624),
% 32.39/5.02 inference(avatar_split_clause,[],[f5528,f5503,f5548,f5544])).
% 32.39/5.02 tff(f5544,plain,(
% 32.39/5.02 spl8_630 <=> $less(sK2,abs(13))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_630])])).
% 32.39/5.02 tff(f5548,plain,(
% 32.39/5.02 spl8_631 <=> $less(13,$uminus(sK2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_631])])).
% 32.39/5.02 tff(f5528,plain,(
% 32.39/5.02 ~$less(sK2,abs(13)) | $less(13,$uminus(sK2)) | spl8_624),
% 32.39/5.02 inference(resolution,[],[f5505,f89])).
% 32.39/5.02 tff(f5542,plain,(
% 32.39/5.02 spl8_628 | spl8_629 | spl8_624),
% 32.39/5.02 inference(avatar_split_clause,[],[f5532,f5503,f5539,f5535])).
% 32.39/5.02 tff(f5539,plain,(
% 32.39/5.02 spl8_629 <=> sQ4_eqProxy(sK2,13)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_629])])).
% 32.39/5.02 tff(f5532,plain,(
% 32.39/5.02 sQ4_eqProxy(sK2,13) | $less(13,sK2) | spl8_624),
% 32.39/5.02 inference(resolution,[],[f5505,f124])).
% 32.39/5.02 tff(f5527,plain,(
% 32.39/5.02 spl8_627 | ~spl8_620),
% 32.39/5.02 inference(avatar_split_clause,[],[f5512,f5445,f5524])).
% 32.39/5.02 tff(f5524,plain,(
% 32.39/5.02 spl8_627 <=> $less(12,abs(x2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_627])])).
% 32.39/5.02 tff(f5445,plain,(
% 32.39/5.02 spl8_620 <=> $less(12,x2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_620])])).
% 32.39/5.02 tff(f5512,plain,(
% 32.39/5.02 $less(12,abs(x2)) | ~spl8_620),
% 32.39/5.02 inference(resolution,[],[f5447,f87])).
% 32.39/5.02 tff(f5447,plain,(
% 32.39/5.02 $less(12,x2) | ~spl8_620),
% 32.39/5.02 inference(avatar_component_clause,[],[f5445])).
% 32.39/5.02 tff(f5522,plain,(
% 32.39/5.02 ~spl8_626 | ~spl8_620),
% 32.39/5.02 inference(avatar_split_clause,[],[f5517,f5445,f5519])).
% 32.39/5.02 tff(f5517,plain,(
% 32.39/5.02 ~$less(x2,13) | ~spl8_620),
% 32.39/5.02 inference(evaluation,[],[f5513])).
% 32.39/5.02 tff(f5513,plain,(
% 32.39/5.02 ~$less(x2,$sum(12,1)) | ~spl8_620),
% 32.39/5.02 inference(resolution,[],[f5447,f46])).
% 32.39/5.02 tff(f5511,plain,(
% 32.39/5.02 spl8_625 | ~spl8_613),
% 32.39/5.02 inference(avatar_split_clause,[],[f5496,f5407,f5508])).
% 32.39/5.02 tff(f5508,plain,(
% 32.39/5.02 spl8_625 <=> $less(12,abs(sK2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_625])])).
% 32.39/5.02 tff(f5407,plain,(
% 32.39/5.02 spl8_613 <=> $less(12,sK2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_613])])).
% 32.39/5.02 tff(f5496,plain,(
% 32.39/5.02 $less(12,abs(sK2)) | ~spl8_613),
% 32.39/5.02 inference(resolution,[],[f5409,f87])).
% 32.39/5.02 tff(f5409,plain,(
% 32.39/5.02 $less(12,sK2) | ~spl8_613),
% 32.39/5.02 inference(avatar_component_clause,[],[f5407])).
% 32.39/5.02 tff(f5506,plain,(
% 32.39/5.02 ~spl8_624 | ~spl8_613),
% 32.39/5.02 inference(avatar_split_clause,[],[f5501,f5407,f5503])).
% 32.39/5.02 tff(f5501,plain,(
% 32.39/5.02 ~$less(sK2,13) | ~spl8_613),
% 32.39/5.02 inference(evaluation,[],[f5497])).
% 32.39/5.02 tff(f5497,plain,(
% 32.39/5.02 ~$less(sK2,$sum(12,1)) | ~spl8_613),
% 32.39/5.02 inference(resolution,[],[f5409,f46])).
% 32.39/5.02 tff(f5462,plain,(
% 32.39/5.02 spl8_623 | spl8_610),
% 32.39/5.02 inference(avatar_split_clause,[],[f5430,f5386,f5459])).
% 32.39/5.02 tff(f5459,plain,(
% 32.39/5.02 spl8_623 <=> $less(12,$sum(x2,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_623])])).
% 32.39/5.02 tff(f5430,plain,(
% 32.39/5.02 $less(12,$sum(x2,1)) | spl8_610),
% 32.39/5.02 inference(resolution,[],[f5388,f38])).
% 32.39/5.02 tff(f5457,plain,(
% 32.39/5.02 spl8_620 | spl8_622 | spl8_610),
% 32.39/5.02 inference(avatar_split_clause,[],[f5432,f5386,f5454,f5445])).
% 32.39/5.02 tff(f5454,plain,(
% 32.39/5.02 spl8_622 <=> sQ4_eqProxy(12,x2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_622])])).
% 32.39/5.02 tff(f5432,plain,(
% 32.39/5.02 $less(12,x2) | sQ4_eqProxy(12,x2) | spl8_610),
% 32.39/5.02 inference(resolution,[],[f5388,f124])).
% 32.39/5.02 tff(f5452,plain,(
% 32.39/5.02 spl8_620 | spl8_621 | spl8_610),
% 32.39/5.02 inference(avatar_split_clause,[],[f5433,f5386,f5449,f5445])).
% 32.39/5.02 tff(f5449,plain,(
% 32.39/5.02 spl8_621 <=> sQ4_eqProxy(x2,12)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_621])])).
% 32.39/5.02 tff(f5433,plain,(
% 32.39/5.02 sQ4_eqProxy(x2,12) | $less(12,x2) | spl8_610),
% 32.39/5.02 inference(resolution,[],[f5388,f124])).
% 32.39/5.02 tff(f5443,plain,(
% 32.39/5.02 spl8_618 | ~spl8_619 | spl8_610),
% 32.39/5.02 inference(avatar_split_clause,[],[f5429,f5386,f5440,f5436])).
% 32.39/5.02 tff(f5436,plain,(
% 32.39/5.02 spl8_618 <=> $less(12,$uminus(x2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_618])])).
% 32.39/5.02 tff(f5440,plain,(
% 32.39/5.02 spl8_619 <=> $less(x2,abs(12))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_619])])).
% 32.39/5.02 tff(f5429,plain,(
% 32.39/5.02 ~$less(x2,abs(12)) | $less(12,$uminus(x2)) | spl8_610),
% 32.39/5.02 inference(resolution,[],[f5388,f89])).
% 32.39/5.02 tff(f5428,plain,(
% 32.39/5.02 spl8_617 | spl8_613 | spl8_609),
% 32.39/5.02 inference(avatar_split_clause,[],[f5398,f5360,f5407,f5425])).
% 32.39/5.02 tff(f5425,plain,(
% 32.39/5.02 spl8_617 <=> sQ4_eqProxy(12,sK2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_617])])).
% 32.39/5.02 tff(f5398,plain,(
% 32.39/5.02 sQ4_eqProxy(12,sK2) | $less(12,sK2) | spl8_609),
% 32.39/5.02 inference(resolution,[],[f5362,f124])).
% 32.39/5.02 tff(f5423,plain,(
% 32.39/5.02 ~spl8_615 | spl8_616 | spl8_609),
% 32.39/5.02 inference(avatar_split_clause,[],[f5395,f5360,f5420,f5416])).
% 32.39/5.02 tff(f5416,plain,(
% 32.39/5.02 spl8_615 <=> $less(sK2,abs(12))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_615])])).
% 32.39/5.02 tff(f5420,plain,(
% 32.39/5.02 spl8_616 <=> $less(12,$uminus(sK2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_616])])).
% 32.39/5.02 tff(f5395,plain,(
% 32.39/5.02 $less(12,$uminus(sK2)) | ~$less(sK2,abs(12)) | spl8_609),
% 32.39/5.02 inference(resolution,[],[f5362,f89])).
% 32.39/5.02 tff(f5414,plain,(
% 32.39/5.02 spl8_613 | spl8_614 | spl8_609),
% 32.39/5.02 inference(avatar_split_clause,[],[f5399,f5360,f5411,f5407])).
% 32.39/5.02 tff(f5411,plain,(
% 32.39/5.02 spl8_614 <=> sQ4_eqProxy(sK2,12)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_614])])).
% 32.39/5.02 tff(f5399,plain,(
% 32.39/5.02 sQ4_eqProxy(sK2,12) | $less(12,sK2) | spl8_609),
% 32.39/5.02 inference(resolution,[],[f5362,f124])).
% 32.39/5.02 tff(f5405,plain,(
% 32.39/5.02 spl8_612 | spl8_609),
% 32.39/5.02 inference(avatar_split_clause,[],[f5396,f5360,f5402])).
% 32.39/5.02 tff(f5402,plain,(
% 32.39/5.02 spl8_612 <=> $less(12,$sum(sK2,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_612])])).
% 32.39/5.02 tff(f5396,plain,(
% 32.39/5.02 $less(12,$sum(sK2,1)) | spl8_609),
% 32.39/5.02 inference(resolution,[],[f5362,f38])).
% 32.39/5.02 tff(f5394,plain,(
% 32.39/5.02 spl8_611 | ~spl8_592),
% 32.39/5.02 inference(avatar_split_clause,[],[f5379,f5213,f5391])).
% 32.39/5.02 tff(f5391,plain,(
% 32.39/5.02 spl8_611 <=> $less(11,abs(x2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_611])])).
% 32.39/5.02 tff(f5213,plain,(
% 32.39/5.02 spl8_592 <=> $less(11,x2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_592])])).
% 32.39/5.02 tff(f5379,plain,(
% 32.39/5.02 $less(11,abs(x2)) | ~spl8_592),
% 32.39/5.02 inference(resolution,[],[f5215,f87])).
% 32.39/5.02 tff(f5215,plain,(
% 32.39/5.02 $less(11,x2) | ~spl8_592),
% 32.39/5.02 inference(avatar_component_clause,[],[f5213])).
% 32.39/5.02 tff(f5389,plain,(
% 32.39/5.02 ~spl8_610 | ~spl8_592),
% 32.39/5.02 inference(avatar_split_clause,[],[f5384,f5213,f5386])).
% 32.39/5.02 tff(f5384,plain,(
% 32.39/5.02 ~$less(x2,12) | ~spl8_592),
% 32.39/5.02 inference(evaluation,[],[f5380])).
% 32.39/5.02 tff(f5380,plain,(
% 32.39/5.02 ~$less(x2,$sum(11,1)) | ~spl8_592),
% 32.39/5.02 inference(resolution,[],[f5215,f46])).
% 32.39/5.02 tff(f5363,plain,(
% 32.39/5.02 ~spl8_609 | ~spl8_536),
% 32.39/5.02 inference(avatar_split_clause,[],[f5353,f4639,f5360])).
% 32.39/5.02 tff(f4639,plain,(
% 32.39/5.02 spl8_536 <=> $less(11,sK2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_536])])).
% 32.39/5.02 tff(f5353,plain,(
% 32.39/5.02 ~$less(sK2,12) | ~spl8_536),
% 32.39/5.02 inference(evaluation,[],[f5349])).
% 32.39/5.02 tff(f5349,plain,(
% 32.39/5.02 ~$less(sK2,$sum(11,1)) | ~spl8_536),
% 32.39/5.02 inference(resolution,[],[f4641,f46])).
% 32.39/5.02 tff(f4641,plain,(
% 32.39/5.02 $less(11,sK2) | ~spl8_536),
% 32.39/5.02 inference(avatar_component_clause,[],[f4639])).
% 32.39/5.02 tff(f5358,plain,(
% 32.39/5.02 spl8_608 | ~spl8_536),
% 32.39/5.02 inference(avatar_split_clause,[],[f5348,f4639,f5355])).
% 32.39/5.02 tff(f5355,plain,(
% 32.39/5.02 spl8_608 <=> $less(11,abs(sK2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_608])])).
% 32.39/5.02 tff(f5348,plain,(
% 32.39/5.02 $less(11,abs(sK2)) | ~spl8_536),
% 32.39/5.02 inference(resolution,[],[f4641,f87])).
% 32.39/5.02 tff(f5329,plain,(
% 32.39/5.02 ~spl8_607 | ~spl8_134),
% 32.39/5.02 inference(avatar_split_clause,[],[f5316,f1096,f5326])).
% 32.39/5.02 tff(f5326,plain,(
% 32.39/5.02 spl8_607 <=> $less(abs($uminus(sK0)),$sum($product(2,$sum(y2,$uminus(x2))),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_607])])).
% 32.39/5.02 tff(f1096,plain,(
% 32.39/5.02 spl8_134 <=> $less($product(2,$sum(y2,$uminus(x2))),abs($uminus(sK0)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_134])])).
% 32.39/5.02 tff(f5316,plain,(
% 32.39/5.02 ~$less(abs($uminus(sK0)),$sum($product(2,$sum(y2,$uminus(x2))),1)) | ~spl8_134),
% 32.39/5.02 inference(resolution,[],[f1098,f46])).
% 32.39/5.02 tff(f1098,plain,(
% 32.39/5.02 $less($product(2,$sum(y2,$uminus(x2))),abs($uminus(sK0))) | ~spl8_134),
% 32.39/5.02 inference(avatar_component_clause,[],[f1096])).
% 32.39/5.02 tff(f5324,plain,(
% 32.39/5.02 spl8_606 | ~spl8_134),
% 32.39/5.02 inference(avatar_split_clause,[],[f5315,f1096,f5321])).
% 32.39/5.02 tff(f5321,plain,(
% 32.39/5.02 spl8_606 <=> $less($product(2,$sum(y2,$uminus(x2))),abs(abs($uminus(sK0))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_606])])).
% 32.39/5.02 tff(f5315,plain,(
% 32.39/5.02 $less($product(2,$sum(y2,$uminus(x2))),abs(abs($uminus(sK0)))) | ~spl8_134),
% 32.39/5.02 inference(resolution,[],[f1098,f87])).
% 32.39/5.02 tff(f5313,plain,(
% 32.39/5.02 spl8_605 | ~spl8_127),
% 32.39/5.02 inference(avatar_split_clause,[],[f5299,f1056,f5310])).
% 32.39/5.02 tff(f5310,plain,(
% 32.39/5.02 spl8_605 <=> $less(sK0,abs(abs(abs($product(2,$sum(y2,$uminus(x2)))))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_605])])).
% 32.39/5.02 tff(f1056,plain,(
% 32.39/5.02 spl8_127 <=> $less(sK0,abs(abs($product(2,$sum(y2,$uminus(x2))))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_127])])).
% 32.39/5.02 tff(f5299,plain,(
% 32.39/5.02 $less(sK0,abs(abs(abs($product(2,$sum(y2,$uminus(x2))))))) | ~spl8_127),
% 32.39/5.02 inference(resolution,[],[f1057,f87])).
% 32.39/5.02 tff(f1057,plain,(
% 32.39/5.02 $less(sK0,abs(abs($product(2,$sum(y2,$uminus(x2)))))) | ~spl8_127),
% 32.39/5.02 inference(avatar_component_clause,[],[f1056])).
% 32.39/5.02 tff(f5308,plain,(
% 32.39/5.02 ~spl8_604 | ~spl8_127),
% 32.39/5.02 inference(avatar_split_clause,[],[f5300,f1056,f5305])).
% 32.39/5.02 tff(f5305,plain,(
% 32.39/5.02 spl8_604 <=> $less(abs(abs($product(2,$sum(y2,$uminus(x2))))),$sum(sK0,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_604])])).
% 32.39/5.02 tff(f5300,plain,(
% 32.39/5.02 ~$less(abs(abs($product(2,$sum(y2,$uminus(x2))))),$sum(sK0,1)) | ~spl8_127),
% 32.39/5.02 inference(resolution,[],[f1057,f46])).
% 32.39/5.02 tff(f5297,plain,(
% 32.39/5.02 spl8_603 | spl8_602 | spl8_126),
% 32.39/5.02 inference(avatar_split_clause,[],[f5272,f1043,f5289,f5294])).
% 32.39/5.02 tff(f5294,plain,(
% 32.39/5.02 spl8_603 <=> sQ4_eqProxy($sum($product(2,$sum(y2,$uminus(x2))),1),sK0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_603])])).
% 32.39/5.02 tff(f5289,plain,(
% 32.39/5.02 spl8_602 <=> $less($sum($product(2,$sum(y2,$uminus(x2))),1),sK0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_602])])).
% 32.39/5.02 tff(f5272,plain,(
% 32.39/5.02 sQ4_eqProxy($sum($product(2,$sum(y2,$uminus(x2))),1),sK0) | $less($sum($product(2,$sum(y2,$uminus(x2))),1),sK0) | spl8_126),
% 32.39/5.02 inference(resolution,[],[f1045,f124])).
% 32.39/5.02 tff(f5292,plain,(
% 32.39/5.02 spl8_601 | spl8_602 | spl8_126),
% 32.39/5.02 inference(avatar_split_clause,[],[f5273,f1043,f5289,f5285])).
% 32.39/5.02 tff(f5285,plain,(
% 32.39/5.02 spl8_601 <=> sQ4_eqProxy(sK0,$sum($product(2,$sum(y2,$uminus(x2))),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_601])])).
% 32.39/5.02 tff(f5273,plain,(
% 32.39/5.02 sQ4_eqProxy(sK0,$sum($product(2,$sum(y2,$uminus(x2))),1)) | $less($sum($product(2,$sum(y2,$uminus(x2))),1),sK0) | spl8_126),
% 32.39/5.02 inference(resolution,[],[f1045,f124])).
% 32.39/5.02 tff(f5283,plain,(
% 32.39/5.02 spl8_599 | ~spl8_600 | spl8_126),
% 32.39/5.02 inference(avatar_split_clause,[],[f5269,f1043,f5280,f5276])).
% 32.39/5.02 tff(f5280,plain,(
% 32.39/5.02 spl8_600 <=> $less(sK0,abs($sum($product(2,$sum(y2,$uminus(x2))),1)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_600])])).
% 32.39/5.02 tff(f5269,plain,(
% 32.39/5.02 ~$less(sK0,abs($sum($product(2,$sum(y2,$uminus(x2))),1))) | $less($sum($product(2,$sum(y2,$uminus(x2))),1),$uminus(sK0)) | spl8_126),
% 32.39/5.02 inference(resolution,[],[f1045,f89])).
% 32.39/5.02 tff(f5251,plain,(
% 32.39/5.02 spl8_598 | ~spl8_40 | ~spl8_46),
% 32.39/5.02 inference(avatar_split_clause,[],[f5246,f424,f383,f5248])).
% 32.39/5.02 tff(f5248,plain,(
% 32.39/5.02 spl8_598 <=> $less($product(2,$sum(y2,$uminus(x2))),$sum($product(2,y2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_598])])).
% 32.39/5.02 tff(f383,plain,(
% 32.39/5.02 spl8_40 <=> $less(sK0,$sum($product(2,y2),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_40])])).
% 32.39/5.02 tff(f5246,plain,(
% 32.39/5.02 $less($product(2,$sum(y2,$uminus(x2))),$sum($product(2,y2),1)) | (~spl8_40 | ~spl8_46)),
% 32.39/5.02 inference(resolution,[],[f987,f426])).
% 32.39/5.02 tff(f987,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~$less(X0,sK0) | $less(X0,$sum($product(2,y2),1))) ) | ~spl8_40),
% 32.39/5.02 inference(resolution,[],[f385,f35])).
% 32.39/5.02 tff(f385,plain,(
% 32.39/5.02 $less(sK0,$sum($product(2,y2),1)) | ~spl8_40),
% 32.39/5.02 inference(avatar_component_clause,[],[f383])).
% 32.39/5.02 tff(f5239,plain,(
% 32.39/5.02 spl8_597 | spl8_533),
% 32.39/5.02 inference(avatar_split_clause,[],[f5207,f4613,f5236])).
% 32.39/5.02 tff(f5236,plain,(
% 32.39/5.02 spl8_597 <=> $less(11,$sum(x2,1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_597])])).
% 32.39/5.02 tff(f5207,plain,(
% 32.39/5.02 $less(11,$sum(x2,1)) | spl8_533),
% 32.39/5.02 inference(resolution,[],[f4615,f38])).
% 32.39/5.02 tff(f5234,plain,(
% 32.39/5.02 spl8_595 | ~spl8_596 | spl8_533),
% 32.39/5.02 inference(avatar_split_clause,[],[f5206,f4613,f5231,f5227])).
% 32.39/5.02 tff(f5227,plain,(
% 32.39/5.02 spl8_595 <=> $less(11,$uminus(x2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_595])])).
% 32.39/5.02 tff(f5231,plain,(
% 32.39/5.02 spl8_596 <=> $less(x2,abs(11))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_596])])).
% 32.39/5.02 tff(f5206,plain,(
% 32.39/5.02 ~$less(x2,abs(11)) | $less(11,$uminus(x2)) | spl8_533),
% 32.39/5.02 inference(resolution,[],[f4615,f89])).
% 32.39/5.02 tff(f5225,plain,(
% 32.39/5.02 spl8_594 | spl8_592 | spl8_533),
% 32.39/5.02 inference(avatar_split_clause,[],[f5210,f4613,f5213,f5222])).
% 32.39/5.02 tff(f5222,plain,(
% 32.39/5.02 spl8_594 <=> sQ4_eqProxy(x2,11)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_594])])).
% 32.39/5.02 tff(f5210,plain,(
% 32.39/5.02 $less(11,x2) | sQ4_eqProxy(x2,11) | spl8_533),
% 32.39/5.02 inference(resolution,[],[f4615,f124])).
% 32.39/5.02 tff(f5220,plain,(
% 32.39/5.02 spl8_592 | spl8_593 | spl8_533),
% 32.39/5.02 inference(avatar_split_clause,[],[f5209,f4613,f5217,f5213])).
% 32.39/5.02 tff(f5217,plain,(
% 32.39/5.02 spl8_593 <=> sQ4_eqProxy(11,x2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_593])])).
% 32.39/5.02 tff(f5209,plain,(
% 32.39/5.02 sQ4_eqProxy(11,x2) | $less(11,x2) | spl8_533),
% 32.39/5.02 inference(resolution,[],[f4615,f124])).
% 32.39/5.02 tff(f5205,plain,(
% 32.39/5.02 spl8_591 | ~spl8_9 | ~spl8_40),
% 32.39/5.02 inference(avatar_split_clause,[],[f5161,f383,f197,f5202])).
% 32.39/5.02 tff(f5202,plain,(
% 32.39/5.02 spl8_591 <=> $less(sK0,$sum($uminus(sK2),$sum($product(2,y2),1)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_591])])).
% 32.39/5.02 tff(f5161,plain,(
% 32.39/5.02 $less(sK0,$sum($uminus(sK2),$sum($product(2,y2),1))) | (~spl8_9 | ~spl8_40)),
% 32.39/5.02 inference(resolution,[],[f986,f548])).
% 32.39/5.02 tff(f986,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~$less($sum($product(2,y2),1),X0) | $less(sK0,X0)) ) | ~spl8_40),
% 32.39/5.02 inference(resolution,[],[f385,f35])).
% 32.39/5.02 tff(f5200,plain,(
% 32.39/5.02 spl8_547 | ~spl8_588 | ~spl8_9 | ~spl8_40),
% 32.39/5.02 inference(avatar_split_clause,[],[f5157,f383,f197,f5186,f4819])).
% 32.39/5.02 tff(f5186,plain,(
% 32.39/5.02 spl8_588 <=> $less($sum($product(2,y2),1),0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_588])])).
% 32.39/5.02 tff(f5157,plain,(
% 32.39/5.02 ~$less($sum($product(2,y2),1),0) | $less(sK0,$uminus(sK2)) | (~spl8_9 | ~spl8_40)),
% 32.39/5.02 inference(resolution,[],[f986,f546])).
% 32.39/5.02 tff(f5199,plain,(
% 32.39/5.02 spl8_590 | ~spl8_26 | ~spl8_40),
% 32.39/5.02 inference(avatar_split_clause,[],[f5162,f383,f291,f5196])).
% 32.39/5.02 tff(f5196,plain,(
% 32.39/5.02 spl8_590 <=> $less(sK0,$sum($uminus(x2),$sum($product(2,y2),1)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_590])])).
% 32.39/5.02 tff(f5162,plain,(
% 32.39/5.02 $less(sK0,$sum($uminus(x2),$sum($product(2,y2),1))) | (~spl8_26 | ~spl8_40)),
% 32.39/5.02 inference(resolution,[],[f986,f705])).
% 32.39/5.02 tff(f5194,plain,(
% 32.39/5.02 spl8_589 | ~spl8_13 | ~spl8_40),
% 32.39/5.02 inference(avatar_split_clause,[],[f5165,f383,f215,f5191])).
% 32.39/5.02 tff(f5191,plain,(
% 32.39/5.02 spl8_589 <=> $less(sK0,$sum(sK2,$sum($product(2,y2),1)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_589])])).
% 32.39/5.02 tff(f5165,plain,(
% 32.39/5.02 $less(sK0,$sum(sK2,$sum($product(2,y2),1))) | (~spl8_13 | ~spl8_40)),
% 32.39/5.02 inference(resolution,[],[f986,f310])).
% 32.39/5.02 tff(f5189,plain,(
% 32.39/5.02 spl8_550 | ~spl8_588 | ~spl8_15 | ~spl8_40),
% 32.39/5.02 inference(avatar_split_clause,[],[f5166,f383,f225,f5186,f4834])).
% 32.39/5.02 tff(f5166,plain,(
% 32.39/5.02 ~$less($sum($product(2,y2),1),0) | $less(sK0,$sum(sK2,1)) | (~spl8_15 | ~spl8_40)),
% 32.39/5.02 inference(resolution,[],[f986,f728])).
% 32.39/5.02 tff(f5184,plain,(
% 32.39/5.02 spl8_587 | ~spl8_22 | ~spl8_40),
% 32.39/5.02 inference(avatar_split_clause,[],[f5168,f383,f272,f5181])).
% 32.39/5.02 tff(f5181,plain,(
% 32.39/5.02 spl8_587 <=> $less(sK0,$sum(2,$sum(x2,$product(2,y2))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_587])])).
% 32.39/5.02 tff(f5168,plain,(
% 32.39/5.02 $less(sK0,$sum(2,$sum(x2,$product(2,y2)))) | (~spl8_22 | ~spl8_40)),
% 32.39/5.02 inference(evaluation,[],[f5164])).
% 32.39/5.02 tff(f5164,plain,(
% 32.39/5.02 $less(sK0,$sum($sum(x2,1),$sum($product(2,y2),1))) | (~spl8_22 | ~spl8_40)),
% 32.39/5.02 inference(resolution,[],[f986,f764])).
% 32.39/5.02 tff(f5179,plain,(
% 32.39/5.02 spl8_586 | ~spl8_23 | ~spl8_40),
% 32.39/5.02 inference(avatar_split_clause,[],[f5159,f383,f277,f5176])).
% 32.39/5.02 tff(f5176,plain,(
% 32.39/5.02 spl8_586 <=> $less(sK0,$sum(x2,$sum($product(2,y2),1)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_586])])).
% 32.39/5.02 tff(f5159,plain,(
% 32.39/5.02 $less(sK0,$sum(x2,$sum($product(2,y2),1))) | (~spl8_23 | ~spl8_40)),
% 32.39/5.02 inference(resolution,[],[f986,f342])).
% 32.39/5.02 tff(f5174,plain,(
% 32.39/5.02 spl8_585 | ~spl8_15 | ~spl8_40),
% 32.39/5.02 inference(avatar_split_clause,[],[f5169,f383,f225,f5171])).
% 32.39/5.02 tff(f5171,plain,(
% 32.39/5.02 spl8_585 <=> $less(sK0,$sum(2,$sum(sK2,$product(2,y2))))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_585])])).
% 32.39/5.02 tff(f5169,plain,(
% 32.39/5.02 $less(sK0,$sum(2,$sum(sK2,$product(2,y2)))) | (~spl8_15 | ~spl8_40)),
% 32.39/5.02 inference(evaluation,[],[f5163])).
% 32.39/5.02 tff(f5163,plain,(
% 32.39/5.02 $less(sK0,$sum($sum(sK2,1),$sum($product(2,y2),1))) | (~spl8_15 | ~spl8_40)),
% 32.39/5.02 inference(resolution,[],[f986,f731])).
% 32.39/5.02 tff(f5124,plain,(
% 32.39/5.02 ~spl8_584 | ~spl8_125),
% 32.39/5.02 inference(avatar_split_clause,[],[f5111,f1038,f5121])).
% 32.39/5.02 tff(f5121,plain,(
% 32.39/5.02 spl8_584 <=> $less(abs(sK0),$sum($product(2,$sum(y2,$uminus(x2))),1))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_584])])).
% 32.39/5.02 tff(f1038,plain,(
% 32.39/5.02 spl8_125 <=> $less($product(2,$sum(y2,$uminus(x2))),abs(sK0))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_125])])).
% 32.39/5.02 tff(f5111,plain,(
% 32.39/5.02 ~$less(abs(sK0),$sum($product(2,$sum(y2,$uminus(x2))),1)) | ~spl8_125),
% 32.39/5.02 inference(resolution,[],[f1040,f46])).
% 32.39/5.02 tff(f1040,plain,(
% 32.39/5.02 $less($product(2,$sum(y2,$uminus(x2))),abs(sK0)) | ~spl8_125),
% 32.39/5.02 inference(avatar_component_clause,[],[f1038])).
% 32.39/5.02 tff(f5119,plain,(
% 32.39/5.02 spl8_583 | ~spl8_125),
% 32.39/5.02 inference(avatar_split_clause,[],[f5110,f1038,f5116])).
% 32.39/5.02 tff(f5116,plain,(
% 32.39/5.02 spl8_583 <=> $less($product(2,$sum(y2,$uminus(x2))),abs(abs(sK0)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_583])])).
% 32.39/5.02 tff(f5110,plain,(
% 32.39/5.02 $less($product(2,$sum(y2,$uminus(x2))),abs(abs(sK0))) | ~spl8_125),
% 32.39/5.02 inference(resolution,[],[f1040,f87])).
% 32.39/5.02 tff(f5108,plain,(
% 32.39/5.02 ~spl8_582 | spl8_4 | ~spl8_23),
% 32.39/5.02 inference(avatar_split_clause,[],[f5065,f277,f163,f5105])).
% 32.39/5.02 tff(f5105,plain,(
% 32.39/5.02 spl8_582 <=> $less(abs($sum(x2,$product(2,y2))),sK0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_582])])).
% 32.39/5.02 tff(f5065,plain,(
% 32.39/5.02 ~$less(abs($sum(x2,$product(2,y2))),sK0) | (spl8_4 | ~spl8_23)),
% 32.39/5.02 inference(resolution,[],[f1008,f342])).
% 32.39/5.02 tff(f1008,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~$less($product(2,y2),X0) | ~$less(abs(X0),sK0)) ) | spl8_4),
% 32.39/5.02 inference(resolution,[],[f355,f87])).
% 32.39/5.02 tff(f5103,plain,(
% 32.39/5.02 ~spl8_581 | spl8_4 | ~spl8_22),
% 32.39/5.02 inference(avatar_split_clause,[],[f5070,f272,f163,f5100])).
% 32.39/5.02 tff(f5100,plain,(
% 32.39/5.02 spl8_581 <=> $less(abs($sum($sum(x2,1),$product(2,y2))),sK0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_581])])).
% 32.39/5.02 tff(f5070,plain,(
% 32.39/5.02 ~$less(abs($sum($sum(x2,1),$product(2,y2))),sK0) | (spl8_4 | ~spl8_22)),
% 32.39/5.02 inference(resolution,[],[f1008,f764])).
% 32.39/5.02 tff(f5098,plain,(
% 32.39/5.02 ~spl8_580 | spl8_4 | ~spl8_112),
% 32.39/5.02 inference(avatar_split_clause,[],[f5044,f935,f163,f5095])).
% 32.39/5.02 tff(f5095,plain,(
% 32.39/5.02 spl8_580 <=> $less(abs(abs(abs(sK0))),sK0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_580])])).
% 32.39/5.02 tff(f935,plain,(
% 32.39/5.02 spl8_112 <=> $less($product(2,y2),abs(abs(sK0)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_112])])).
% 32.39/5.02 tff(f5044,plain,(
% 32.39/5.02 ~$less(abs(abs(abs(sK0))),sK0) | (spl8_4 | ~spl8_112)),
% 32.39/5.02 inference(resolution,[],[f1008,f936])).
% 32.39/5.02 tff(f936,plain,(
% 32.39/5.02 $less($product(2,y2),abs(abs(sK0))) | ~spl8_112),
% 32.39/5.02 inference(avatar_component_clause,[],[f935])).
% 32.39/5.02 tff(f5093,plain,(
% 32.39/5.02 ~spl8_579 | spl8_4 | ~spl8_15),
% 32.39/5.02 inference(avatar_split_clause,[],[f5069,f225,f163,f5090])).
% 32.39/5.02 tff(f5090,plain,(
% 32.39/5.02 spl8_579 <=> $less(abs($sum($sum(sK2,1),$product(2,y2))),sK0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_579])])).
% 32.39/5.02 tff(f5069,plain,(
% 32.39/5.02 ~$less(abs($sum($sum(sK2,1),$product(2,y2))),sK0) | (spl8_4 | ~spl8_15)),
% 32.39/5.02 inference(resolution,[],[f1008,f731])).
% 32.39/5.02 tff(f5088,plain,(
% 32.39/5.02 ~spl8_578 | spl8_4 | ~spl8_9),
% 32.39/5.02 inference(avatar_split_clause,[],[f5067,f197,f163,f5085])).
% 32.39/5.02 tff(f5085,plain,(
% 32.39/5.02 spl8_578 <=> $less(abs($sum($uminus(sK2),$product(2,y2))),sK0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_578])])).
% 32.39/5.02 tff(f5067,plain,(
% 32.39/5.02 ~$less(abs($sum($uminus(sK2),$product(2,y2))),sK0) | (spl8_4 | ~spl8_9)),
% 32.39/5.02 inference(resolution,[],[f1008,f548])).
% 32.39/5.02 tff(f5083,plain,(
% 32.39/5.02 ~spl8_577 | spl8_4 | ~spl8_13),
% 32.39/5.02 inference(avatar_split_clause,[],[f5071,f215,f163,f5080])).
% 32.39/5.02 tff(f5080,plain,(
% 32.39/5.02 spl8_577 <=> $less(abs($sum(sK2,$product(2,y2))),sK0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_577])])).
% 32.39/5.02 tff(f5071,plain,(
% 32.39/5.02 ~$less(abs($sum(sK2,$product(2,y2))),sK0) | (spl8_4 | ~spl8_13)),
% 32.39/5.02 inference(resolution,[],[f1008,f310])).
% 32.39/5.02 tff(f5078,plain,(
% 32.39/5.02 ~spl8_576 | spl8_4 | ~spl8_26),
% 32.39/5.02 inference(avatar_split_clause,[],[f5068,f291,f163,f5075])).
% 32.39/5.02 tff(f5075,plain,(
% 32.39/5.02 spl8_576 <=> $less(abs($sum($uminus(x2),$product(2,y2))),sK0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_576])])).
% 32.39/5.02 tff(f5068,plain,(
% 32.39/5.02 ~$less(abs($sum($uminus(x2),$product(2,y2))),sK0) | (spl8_4 | ~spl8_26)),
% 32.39/5.02 inference(resolution,[],[f1008,f705])).
% 32.39/5.02 tff(f5042,plain,(
% 32.39/5.02 ~spl8_574 | spl8_575 | spl8_120),
% 32.39/5.02 inference(avatar_split_clause,[],[f5022,f995,f5039,f5035])).
% 32.39/5.02 tff(f5035,plain,(
% 32.39/5.02 spl8_574 <=> $less($sum($product(2,y2),1),abs($sum(sK0,1)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_574])])).
% 32.39/5.02 tff(f5039,plain,(
% 32.39/5.02 spl8_575 <=> $less($sum(sK0,1),$uminus($sum($product(2,y2),1)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_575])])).
% 32.39/5.02 tff(f5022,plain,(
% 32.39/5.02 ~$less($sum($product(2,y2),1),abs($sum(sK0,1))) | $less($sum(sK0,1),$uminus($sum($product(2,y2),1))) | spl8_120),
% 32.39/5.02 inference(resolution,[],[f997,f89])).
% 32.39/5.02 tff(f5033,plain,(
% 32.39/5.02 spl8_573 | spl8_120),
% 32.39/5.02 inference(avatar_split_clause,[],[f5028,f995,f5030])).
% 32.39/5.02 tff(f5030,plain,(
% 32.39/5.02 spl8_573 <=> $less($sum(sK0,1),$sum(2,$product(2,y2)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_573])])).
% 32.39/5.02 tff(f5028,plain,(
% 32.39/5.02 $less($sum(sK0,1),$sum(2,$product(2,y2))) | spl8_120),
% 32.39/5.02 inference(evaluation,[],[f5023])).
% 32.39/5.02 tff(f5023,plain,(
% 32.39/5.02 $less($sum(sK0,1),$sum($sum($product(2,y2),1),1)) | spl8_120),
% 32.39/5.02 inference(resolution,[],[f997,f38])).
% 32.39/5.02 tff(f5006,plain,(
% 32.39/5.02 spl8_572 | ~spl8_13 | ~spl8_39),
% 32.39/5.02 inference(avatar_split_clause,[],[f4944,f378,f215,f5003])).
% 32.39/5.02 tff(f5003,plain,(
% 32.39/5.02 spl8_572 <=> $less($product(2,y2),$sum(sK2,abs(sK0)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_572])])).
% 32.39/5.02 tff(f378,plain,(
% 32.39/5.02 spl8_39 <=> $less($product(2,y2),abs(sK0))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_39])])).
% 32.39/5.02 tff(f4944,plain,(
% 32.39/5.02 $less($product(2,y2),$sum(sK2,abs(sK0))) | (~spl8_13 | ~spl8_39)),
% 32.39/5.02 inference(resolution,[],[f978,f310])).
% 32.39/5.02 tff(f978,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~$less(abs(sK0),X0) | $less($product(2,y2),X0)) ) | ~spl8_39),
% 32.39/5.02 inference(resolution,[],[f379,f35])).
% 32.39/5.02 tff(f379,plain,(
% 32.39/5.02 $less($product(2,y2),abs(sK0)) | ~spl8_39),
% 32.39/5.02 inference(avatar_component_clause,[],[f378])).
% 32.39/5.02 tff(f5001,plain,(
% 32.39/5.02 spl8_568 | ~spl8_562 | ~spl8_27 | ~spl8_39),
% 32.39/5.02 inference(avatar_split_clause,[],[f4928,f378,f295,f4953,f4982])).
% 32.39/5.02 tff(f4982,plain,(
% 32.39/5.02 spl8_568 <=> $less($product(2,y2),abs(0))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_568])])).
% 32.39/5.02 tff(f4953,plain,(
% 32.39/5.02 spl8_562 <=> $less(abs(sK0),x2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_562])])).
% 32.39/5.02 tff(f4928,plain,(
% 32.39/5.02 $less($product(2,y2),abs(0)) | ~$less(abs(sK0),x2) | (~spl8_27 | ~spl8_39)),
% 32.39/5.02 inference(resolution,[],[f978,f720])).
% 32.39/5.02 tff(f5000,plain,(
% 32.39/5.02 spl8_571 | ~spl8_26 | ~spl8_39),
% 32.39/5.02 inference(avatar_split_clause,[],[f4941,f378,f291,f4997])).
% 32.39/5.02 tff(f4997,plain,(
% 32.39/5.02 spl8_571 <=> $less($product(2,y2),$sum($uminus(x2),abs(sK0)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_571])])).
% 32.39/5.02 tff(f4941,plain,(
% 32.39/5.02 $less($product(2,y2),$sum($uminus(x2),abs(sK0))) | (~spl8_26 | ~spl8_39)),
% 32.39/5.02 inference(resolution,[],[f978,f705])).
% 32.39/5.02 tff(f4995,plain,(
% 32.39/5.02 spl8_570 | ~spl8_23 | ~spl8_39),
% 32.39/5.02 inference(avatar_split_clause,[],[f4938,f378,f277,f4992])).
% 32.39/5.02 tff(f4992,plain,(
% 32.39/5.02 spl8_570 <=> $less($product(2,y2),$sum(x2,abs(sK0)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_570])])).
% 32.39/5.02 tff(f4938,plain,(
% 32.39/5.02 $less($product(2,y2),$sum(x2,abs(sK0))) | (~spl8_23 | ~spl8_39)),
% 32.39/5.02 inference(resolution,[],[f978,f342])).
% 32.39/5.02 tff(f4990,plain,(
% 32.39/5.02 spl8_569 | ~spl8_9 | ~spl8_39),
% 32.39/5.02 inference(avatar_split_clause,[],[f4940,f378,f197,f4987])).
% 32.39/5.02 tff(f4987,plain,(
% 32.39/5.02 spl8_569 <=> $less($product(2,y2),$sum($uminus(sK2),abs(sK0)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_569])])).
% 32.39/5.02 tff(f4940,plain,(
% 32.39/5.02 $less($product(2,y2),$sum($uminus(sK2),abs(sK0))) | (~spl8_9 | ~spl8_39)),
% 32.39/5.02 inference(resolution,[],[f978,f548])).
% 32.39/5.02 tff(f4985,plain,(
% 32.39/5.02 spl8_568 | ~spl8_567 | ~spl8_10 | ~spl8_39),
% 32.39/5.02 inference(avatar_split_clause,[],[f4929,f378,f201,f4977,f4982])).
% 32.39/5.02 tff(f4977,plain,(
% 32.39/5.02 spl8_567 <=> $less(abs(sK0),sK2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_567])])).
% 32.39/5.02 tff(f4929,plain,(
% 32.39/5.02 ~$less(abs(sK0),sK2) | $less($product(2,y2),abs(0)) | (~spl8_10 | ~spl8_39)),
% 32.39/5.02 inference(resolution,[],[f978,f580])).
% 32.39/5.02 tff(f4980,plain,(
% 32.39/5.02 spl8_566 | ~spl8_567 | ~spl8_19 | ~spl8_39),
% 32.39/5.02 inference(avatar_split_clause,[],[f4935,f378,f250,f4977,f4973])).
% 32.39/5.02 tff(f4973,plain,(
% 32.39/5.02 spl8_566 <=> $less($product(2,y2),$uminus(x2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_566])])).
% 32.39/5.02 tff(f4935,plain,(
% 32.39/5.02 ~$less(abs(sK0),sK2) | $less($product(2,y2),$uminus(x2)) | (~spl8_19 | ~spl8_39)),
% 32.39/5.02 inference(resolution,[],[f978,f633])).
% 32.39/5.02 tff(f4971,plain,(
% 32.39/5.02 spl8_565 | ~spl8_22 | ~spl8_39),
% 32.39/5.02 inference(avatar_split_clause,[],[f4943,f378,f272,f4968])).
% 32.39/5.02 tff(f4968,plain,(
% 32.39/5.02 spl8_565 <=> $less($product(2,y2),$sum($sum(x2,1),abs(sK0)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_565])])).
% 32.39/5.02 tff(f4943,plain,(
% 32.39/5.02 $less($product(2,y2),$sum($sum(x2,1),abs(sK0))) | (~spl8_22 | ~spl8_39)),
% 32.39/5.02 inference(resolution,[],[f978,f764])).
% 32.39/5.02 tff(f4966,plain,(
% 32.39/5.02 spl8_564 | ~spl8_39 | spl8_312),
% 32.39/5.02 inference(avatar_split_clause,[],[f4961,f2543,f378,f4963])).
% 32.39/5.02 tff(f4963,plain,(
% 32.39/5.02 spl8_564 <=> sQ4_eqProxy(abs(abs(sK0)),abs(sK0))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_564])])).
% 32.39/5.02 tff(f2543,plain,(
% 32.39/5.02 spl8_312 <=> $less($product(2,y2),0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_312])])).
% 32.39/5.02 tff(f4961,plain,(
% 32.39/5.02 sQ4_eqProxy(abs(abs(sK0)),abs(sK0)) | (~spl8_39 | spl8_312)),
% 32.39/5.02 inference(subsumption_resolution,[],[f4924,f2545])).
% 32.39/5.02 tff(f2545,plain,(
% 32.39/5.02 ~$less($product(2,y2),0) | spl8_312),
% 32.39/5.02 inference(avatar_component_clause,[],[f2543])).
% 32.39/5.02 tff(f4924,plain,(
% 32.39/5.02 sQ4_eqProxy(abs(abs(sK0)),abs(sK0)) | $less($product(2,y2),0) | ~spl8_39),
% 32.39/5.02 inference(resolution,[],[f978,f127])).
% 32.39/5.02 tff(f4960,plain,(
% 32.39/5.02 ~spl8_562 | spl8_563 | ~spl8_20 | ~spl8_39),
% 32.39/5.02 inference(avatar_split_clause,[],[f4931,f378,f254,f4957,f4953])).
% 32.39/5.02 tff(f4957,plain,(
% 32.39/5.02 spl8_563 <=> $less($product(2,y2),abs(sK2))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_563])])).
% 32.39/5.02 tff(f4931,plain,(
% 32.39/5.02 $less($product(2,y2),abs(sK2)) | ~$less(abs(sK0),x2) | (~spl8_20 | ~spl8_39)),
% 32.39/5.02 inference(resolution,[],[f978,f649])).
% 32.39/5.02 tff(f4951,plain,(
% 32.39/5.02 spl8_561 | ~spl8_15 | ~spl8_39),
% 32.39/5.02 inference(avatar_split_clause,[],[f4942,f378,f225,f4948])).
% 32.39/5.02 tff(f4948,plain,(
% 32.39/5.02 spl8_561 <=> $less($product(2,y2),$sum($sum(sK2,1),abs(sK0)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_561])])).
% 32.39/5.02 tff(f4942,plain,(
% 32.39/5.02 $less($product(2,y2),$sum($sum(sK2,1),abs(sK0))) | (~spl8_15 | ~spl8_39)),
% 32.39/5.02 inference(resolution,[],[f978,f731])).
% 32.39/5.02 tff(f4917,plain,(
% 32.39/5.02 ~spl8_552 | spl8_554 | ~spl8_22 | ~spl8_38),
% 32.39/5.02 inference(avatar_split_clause,[],[f4861,f374,f272,f4881,f4872])).
% 32.39/5.02 tff(f4872,plain,(
% 32.39/5.02 spl8_552 <=> $less($sum(x2,1),sK0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_552])])).
% 32.39/5.02 tff(f4881,plain,(
% 32.39/5.02 spl8_554 <=> $less(0,$uminus($product(2,y2)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_554])])).
% 32.39/5.02 tff(f4861,plain,(
% 32.39/5.02 $less(0,$uminus($product(2,y2))) | ~$less($sum(x2,1),sK0) | (~spl8_22 | ~spl8_38)),
% 32.39/5.02 inference(resolution,[],[f963,f761])).
% 32.39/5.02 tff(f761,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~$less($sum(x2,1),X0) | $less(0,X0)) ) | ~spl8_22),
% 32.39/5.02 inference(resolution,[],[f274,f35])).
% 32.39/5.02 tff(f4916,plain,(
% 32.39/5.02 ~spl8_356 | spl8_553 | ~spl8_19 | ~spl8_38),
% 32.39/5.02 inference(avatar_split_clause,[],[f4858,f374,f250,f4876,f2944])).
% 32.39/5.02 tff(f2944,plain,(
% 32.39/5.02 spl8_356 <=> $less($uminus(x2),sK0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_356])])).
% 32.39/5.02 tff(f4876,plain,(
% 32.39/5.02 spl8_553 <=> $less(sK2,$uminus($product(2,y2)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_553])])).
% 32.39/5.02 tff(f4858,plain,(
% 32.39/5.02 $less(sK2,$uminus($product(2,y2))) | ~$less($uminus(x2),sK0) | (~spl8_19 | ~spl8_38)),
% 32.39/5.02 inference(resolution,[],[f963,f632])).
% 32.39/5.02 tff(f632,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~$less($uminus(x2),X0) | $less(sK2,X0)) ) | ~spl8_19),
% 32.39/5.02 inference(resolution,[],[f252,f35])).
% 32.39/5.02 tff(f4915,plain,(
% 32.39/5.02 ~spl8_546 | ~spl8_555 | spl8_3 | ~spl8_38),
% 32.39/5.02 inference(avatar_split_clause,[],[f4852,f374,f158,f4886,f4814])).
% 32.39/5.02 tff(f4814,plain,(
% 32.39/5.02 spl8_546 <=> $less($uminus($product(2,y2)),sK2)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_546])])).
% 32.39/5.02 tff(f4852,plain,(
% 32.39/5.02 ~$less($uminus($product(2,y2)),sK2) | ~$less(x2,sK0) | (spl8_3 | ~spl8_38)),
% 32.39/5.02 inference(resolution,[],[f963,f231])).
% 32.39/5.02 tff(f4914,plain,(
% 32.39/5.02 spl8_554 | ~spl8_555 | ~spl8_23 | ~spl8_38),
% 32.39/5.02 inference(avatar_split_clause,[],[f4849,f374,f277,f4886,f4881])).
% 32.39/5.02 tff(f4849,plain,(
% 32.39/5.02 $less(0,$uminus($product(2,y2))) | ~$less(x2,sK0) | (~spl8_23 | ~spl8_38)),
% 32.39/5.02 inference(resolution,[],[f963,f338])).
% 32.39/5.02 tff(f4913,plain,(
% 32.39/5.02 spl8_560 | ~spl8_365 | ~spl8_20 | ~spl8_38),
% 32.39/5.02 inference(avatar_split_clause,[],[f4855,f374,f254,f3037,f4910])).
% 32.39/5.02 tff(f4910,plain,(
% 32.39/5.02 spl8_560 <=> $less(x2,$uminus($product(2,y2)))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_560])])).
% 32.39/5.02 tff(f3037,plain,(
% 32.39/5.02 spl8_365 <=> $less(abs(sK2),sK0)),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_365])])).
% 32.39/5.02 tff(f4855,plain,(
% 32.39/5.02 ~$less(abs(sK2),sK0) | $less(x2,$uminus($product(2,y2))) | (~spl8_20 | ~spl8_38)),
% 32.39/5.02 inference(resolution,[],[f963,f648])).
% 32.39/5.02 tff(f648,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~$less(abs(sK2),X0) | $less(x2,X0)) ) | ~spl8_20),
% 32.39/5.02 inference(resolution,[],[f255,f35])).
% 32.39/5.02 tff(f4908,plain,(
% 32.39/5.02 spl8_554 | ~spl8_557 | ~spl8_13 | ~spl8_38),
% 32.39/5.02 inference(avatar_split_clause,[],[f4864,f374,f215,f4894,f4881])).
% 32.39/5.02 tff(f4864,plain,(
% 32.39/5.02 $less(0,$uminus($product(2,y2))) | ~$less(sK2,sK0) | (~spl8_13 | ~spl8_38)),
% 32.39/5.02 inference(resolution,[],[f963,f306])).
% 32.39/5.02 tff(f4907,plain,(
% 32.39/5.02 spl8_554 | ~spl8_559 | ~spl8_15 | ~spl8_38),
% 32.39/5.02 inference(avatar_split_clause,[],[f4860,f374,f225,f4904,f4881])).
% 32.39/5.02 tff(f4860,plain,(
% 32.39/5.02 $less(0,$uminus($product(2,y2))) | ~$less($sum(sK2,1),sK0) | (~spl8_15 | ~spl8_38)),
% 32.39/5.02 inference(resolution,[],[f963,f727])).
% 32.39/5.02 tff(f4902,plain,(
% 32.39/5.02 ~spl8_555 | spl8_558 | spl8_3 | ~spl8_38),
% 32.39/5.02 inference(avatar_split_clause,[],[f4848,f374,f158,f4900,f4886])).
% 32.39/5.02 tff(f4900,plain,(
% 32.39/5.02 spl8_558 <=> ! [X0 : $int] : (~$less(X0,sK2) | ~$less($uminus($product(2,y2)),X0))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_558])])).
% 32.39/5.02 tff(f4848,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~$less(x2,sK0) | ~$less(X0,sK2) | ~$less($uminus($product(2,y2)),X0)) ) | (spl8_3 | ~spl8_38)),
% 32.39/5.02 inference(resolution,[],[f963,f890])).
% 32.39/5.02 tff(f890,plain,(
% 32.39/5.02 ( ! [X0 : $int,X1 : $int] : (~$less(x2,X1) | ~$less(X1,X0) | ~$less(X0,sK2)) ) | spl8_3),
% 32.39/5.02 inference(resolution,[],[f231,f35])).
% 32.39/5.02 tff(f4898,plain,(
% 32.39/5.02 spl8_553 | ~spl8_555 | ~spl8_17 | ~spl8_38),
% 32.39/5.02 inference(avatar_split_clause,[],[f4850,f374,f240,f4886,f4876])).
% 32.39/5.02 tff(f4850,plain,(
% 32.39/5.02 ~$less(x2,sK0) | $less(sK2,$uminus($product(2,y2))) | (~spl8_17 | ~spl8_38)),
% 32.39/5.02 inference(resolution,[],[f963,f323])).
% 32.39/5.02 tff(f4897,plain,(
% 32.39/5.02 ~spl8_557 | spl8_556 | spl8_2 | ~spl8_38),
% 32.39/5.02 inference(avatar_split_clause,[],[f4863,f374,f153,f4890,f4894])).
% 32.39/5.02 tff(f4890,plain,(
% 32.39/5.02 spl8_556 <=> ! [X0 : $int] : (~$less($uminus($product(2,y2)),X0) | ~$less(X0,0))),
% 32.39/5.02 introduced(avatar_definition,[new_symbols(naming,[spl8_556])])).
% 32.39/5.02 tff(f4863,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~$less(sK2,sK0) | ~$less($uminus($product(2,y2)),X0) | ~$less(X0,0)) ) | (spl8_2 | ~spl8_38)),
% 32.39/5.02 inference(resolution,[],[f963,f831])).
% 32.39/5.02 tff(f4892,plain,(
% 32.39/5.02 ~spl8_555 | spl8_556 | spl8_6 | ~spl8_38),
% 32.39/5.02 inference(avatar_split_clause,[],[f4847,f374,f173,f4890,f4886])).
% 32.39/5.02 tff(f4847,plain,(
% 32.39/5.02 ( ! [X0 : $int] : (~$less($uminus($product(2,y2)),X0) | ~$less(x2,sK0) | ~$less(X0,0)) ) | (spl8_6 | ~spl8_38)),
% 32.39/5.02 inference(resolution,[],[f963,f911])).
% 32.39/5.02 tff(f911,plain,(
% 32.39/5.02 ( ! [X0 : $int,X1 : $int] : (~$less(x2,X1) | ~$less(X1,X0) | ~$less(X0,0)) ) | spl8_6),
% 32.39/5.03 inference(resolution,[],[f267,f35])).
% 32.39/5.03 tff(f267,plain,(
% 32.39/5.03 ( ! [X0 : $int] : (~$less(x2,X0) | ~$less(X0,0)) ) | spl8_6),
% 32.39/5.03 inference(resolution,[],[f175,f35])).
% 32.39/5.03 tff(f4884,plain,(
% 32.39/5.03 ~spl8_356 | spl8_554 | ~spl8_26 | ~spl8_38),
% 32.39/5.03 inference(avatar_split_clause,[],[f4857,f374,f291,f4881,f2944])).
% 32.39/5.03 tff(f4857,plain,(
% 32.39/5.03 $less(0,$uminus($product(2,y2))) | ~$less($uminus(x2),sK0) | (~spl8_26 | ~spl8_38)),
% 32.39/5.03 inference(resolution,[],[f963,f701])).
% 32.39/5.03 tff(f701,plain,(
% 32.39/5.03 ( ! [X0 : $int] : (~$less($uminus(x2),X0) | $less(0,X0)) ) | ~spl8_26),
% 32.39/5.03 inference(resolution,[],[f293,f35])).
% 32.39/5.03 tff(f4879,plain,(
% 32.39/5.03 ~spl8_552 | spl8_553 | ~spl8_21 | ~spl8_38),
% 32.39/5.03 inference(avatar_split_clause,[],[f4862,f374,f259,f4876,f4872])).
% 32.39/5.03 tff(f4862,plain,(
% 32.39/5.03 $less(sK2,$uminus($product(2,y2))) | ~$less($sum(x2,1),sK0) | (~spl8_21 | ~spl8_38)),
% 32.39/5.03 inference(resolution,[],[f963,f745])).
% 32.39/5.03 tff(f745,plain,(
% 32.39/5.03 ( ! [X0 : $int] : (~$less($sum(x2,1),X0) | $less(sK2,X0)) ) | ~spl8_21),
% 32.39/5.03 inference(resolution,[],[f261,f35])).
% 32.39/5.03 tff(f4870,plain,(
% 32.39/5.03 ~spl8_551 | ~spl8_38),
% 32.39/5.03 inference(avatar_split_clause,[],[f4839,f374,f4867])).
% 32.39/5.03 tff(f4867,plain,(
% 32.39/5.03 spl8_551 <=> $less($uminus($product(2,y2)),sK0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_551])])).
% 32.39/5.03 tff(f4839,plain,(
% 32.39/5.03 ~$less($uminus($product(2,y2)),sK0) | ~spl8_38),
% 32.39/5.03 inference(resolution,[],[f963,f34])).
% 32.39/5.03 tff(f4837,plain,(
% 32.39/5.03 spl8_550 | ~spl8_541 | ~spl8_15 | ~spl8_38),
% 32.39/5.03 inference(avatar_split_clause,[],[f4781,f374,f225,f4789,f4834])).
% 32.39/5.03 tff(f4789,plain,(
% 32.39/5.03 spl8_541 <=> $less($uminus($product(2,y2)),0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_541])])).
% 32.39/5.03 tff(f4781,plain,(
% 32.39/5.03 $less(sK0,$sum(sK2,1)) | ~$less($uminus($product(2,y2)),0) | (~spl8_15 | ~spl8_38)),
% 32.39/5.03 inference(resolution,[],[f962,f728])).
% 32.39/5.03 tff(f962,plain,(
% 32.39/5.03 ( ! [X0 : $int] : (~$less($uminus($product(2,y2)),X0) | $less(sK0,X0)) ) | ~spl8_38),
% 32.39/5.03 inference(resolution,[],[f376,f35])).
% 32.39/5.03 tff(f4832,plain,(
% 32.39/5.03 spl8_549 | ~spl8_26 | ~spl8_38),
% 32.39/5.03 inference(avatar_split_clause,[],[f4777,f374,f291,f4829])).
% 32.39/5.03 tff(f4829,plain,(
% 32.39/5.03 spl8_549 <=> $less(sK0,$sum($uminus(x2),$uminus($product(2,y2))))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_549])])).
% 32.39/5.03 tff(f4777,plain,(
% 32.39/5.03 $less(sK0,$sum($uminus(x2),$uminus($product(2,y2)))) | (~spl8_26 | ~spl8_38)),
% 32.39/5.03 inference(resolution,[],[f962,f705])).
% 32.39/5.03 tff(f4827,plain,(
% 32.39/5.03 spl8_548 | ~spl8_22 | ~spl8_38),
% 32.39/5.03 inference(avatar_split_clause,[],[f4779,f374,f272,f4824])).
% 32.39/5.03 tff(f4824,plain,(
% 32.39/5.03 spl8_548 <=> $less(sK0,$sum($sum(x2,1),$uminus($product(2,y2))))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_548])])).
% 32.39/5.03 tff(f4779,plain,(
% 32.39/5.03 $less(sK0,$sum($sum(x2,1),$uminus($product(2,y2)))) | (~spl8_22 | ~spl8_38)),
% 32.39/5.03 inference(resolution,[],[f962,f764])).
% 32.39/5.03 tff(f4822,plain,(
% 32.39/5.03 spl8_547 | ~spl8_541 | ~spl8_9 | ~spl8_38),
% 32.39/5.03 inference(avatar_split_clause,[],[f4770,f374,f197,f4789,f4819])).
% 32.39/5.03 tff(f4770,plain,(
% 32.39/5.03 $less(sK0,$uminus(sK2)) | ~$less($uminus($product(2,y2)),0) | (~spl8_9 | ~spl8_38)),
% 32.39/5.03 inference(resolution,[],[f962,f546])).
% 32.39/5.03 tff(f4817,plain,(
% 32.39/5.03 spl8_540 | ~spl8_546 | ~spl8_19 | ~spl8_38),
% 32.39/5.03 inference(avatar_split_clause,[],[f4772,f374,f250,f4814,f4785])).
% 32.39/5.03 tff(f4785,plain,(
% 32.39/5.03 spl8_540 <=> $less(sK0,$uminus(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_540])])).
% 32.39/5.03 tff(f4772,plain,(
% 32.39/5.03 ~$less($uminus($product(2,y2)),sK2) | $less(sK0,$uminus(x2)) | (~spl8_19 | ~spl8_38)),
% 32.39/5.03 inference(resolution,[],[f962,f633])).
% 32.39/5.03 tff(f4812,plain,(
% 32.39/5.03 spl8_545 | ~spl8_23 | ~spl8_38),
% 32.39/5.03 inference(avatar_split_clause,[],[f4774,f374,f277,f4809])).
% 32.39/5.03 tff(f4809,plain,(
% 32.39/5.03 spl8_545 <=> $less(sK0,$sum(x2,$uminus($product(2,y2))))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_545])])).
% 32.39/5.03 tff(f4774,plain,(
% 32.39/5.03 $less(sK0,$sum(x2,$uminus($product(2,y2)))) | (~spl8_23 | ~spl8_38)),
% 32.39/5.03 inference(resolution,[],[f962,f342])).
% 32.39/5.03 tff(f4807,plain,(
% 32.39/5.03 spl8_544 | ~spl8_15 | ~spl8_38),
% 32.39/5.03 inference(avatar_split_clause,[],[f4778,f374,f225,f4804])).
% 32.39/5.03 tff(f4804,plain,(
% 32.39/5.03 spl8_544 <=> $less(sK0,$sum($sum(sK2,1),$uminus($product(2,y2))))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_544])])).
% 32.39/5.03 tff(f4778,plain,(
% 32.39/5.03 $less(sK0,$sum($sum(sK2,1),$uminus($product(2,y2)))) | (~spl8_15 | ~spl8_38)),
% 32.39/5.03 inference(resolution,[],[f962,f731])).
% 32.39/5.03 tff(f4802,plain,(
% 32.39/5.03 spl8_543 | ~spl8_13 | ~spl8_38),
% 32.39/5.03 inference(avatar_split_clause,[],[f4780,f374,f215,f4799])).
% 32.39/5.03 tff(f4799,plain,(
% 32.39/5.03 spl8_543 <=> $less(sK0,$sum(sK2,$uminus($product(2,y2))))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_543])])).
% 32.39/5.03 tff(f4780,plain,(
% 32.39/5.03 $less(sK0,$sum(sK2,$uminus($product(2,y2)))) | (~spl8_13 | ~spl8_38)),
% 32.39/5.03 inference(resolution,[],[f962,f310])).
% 32.39/5.03 tff(f4797,plain,(
% 32.39/5.03 spl8_542 | ~spl8_9 | ~spl8_38),
% 32.39/5.03 inference(avatar_split_clause,[],[f4776,f374,f197,f4794])).
% 32.39/5.03 tff(f4794,plain,(
% 32.39/5.03 spl8_542 <=> $less(sK0,$sum($uminus(sK2),$uminus($product(2,y2))))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_542])])).
% 32.39/5.03 tff(f4776,plain,(
% 32.39/5.03 $less(sK0,$sum($uminus(sK2),$uminus($product(2,y2)))) | (~spl8_9 | ~spl8_38)),
% 32.39/5.03 inference(resolution,[],[f962,f548])).
% 32.39/5.03 tff(f4792,plain,(
% 32.39/5.03 spl8_540 | ~spl8_541 | ~spl8_26 | ~spl8_38),
% 32.39/5.03 inference(avatar_split_clause,[],[f4771,f374,f291,f4789,f4785])).
% 32.39/5.03 tff(f4771,plain,(
% 32.39/5.03 ~$less($uminus($product(2,y2)),0) | $less(sK0,$uminus(x2)) | (~spl8_26 | ~spl8_38)),
% 32.39/5.03 inference(resolution,[],[f962,f702])).
% 32.39/5.03 tff(f4656,plain,(
% 32.39/5.03 spl8_539 | spl8_522),
% 32.39/5.03 inference(avatar_split_clause,[],[f4624,f4525,f4653])).
% 32.39/5.03 tff(f4653,plain,(
% 32.39/5.03 spl8_539 <=> $less(11,$sum(sK2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_539])])).
% 32.39/5.03 tff(f4624,plain,(
% 32.39/5.03 $less(11,$sum(sK2,1)) | spl8_522),
% 32.39/5.03 inference(resolution,[],[f4527,f38])).
% 32.39/5.03 tff(f4651,plain,(
% 32.39/5.03 spl8_538 | spl8_536 | spl8_522),
% 32.39/5.03 inference(avatar_split_clause,[],[f4627,f4525,f4639,f4648])).
% 32.39/5.03 tff(f4648,plain,(
% 32.39/5.03 spl8_538 <=> sQ4_eqProxy(sK2,11)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_538])])).
% 32.39/5.03 tff(f4627,plain,(
% 32.39/5.03 $less(11,sK2) | sQ4_eqProxy(sK2,11) | spl8_522),
% 32.39/5.03 inference(resolution,[],[f4527,f124])).
% 32.39/5.03 tff(f4646,plain,(
% 32.39/5.03 spl8_536 | spl8_537 | spl8_522),
% 32.39/5.03 inference(avatar_split_clause,[],[f4626,f4525,f4643,f4639])).
% 32.39/5.03 tff(f4643,plain,(
% 32.39/5.03 spl8_537 <=> sQ4_eqProxy(11,sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_537])])).
% 32.39/5.03 tff(f4626,plain,(
% 32.39/5.03 sQ4_eqProxy(11,sK2) | $less(11,sK2) | spl8_522),
% 32.39/5.03 inference(resolution,[],[f4527,f124])).
% 32.39/5.03 tff(f4637,plain,(
% 32.39/5.03 spl8_534 | ~spl8_535 | spl8_522),
% 32.39/5.03 inference(avatar_split_clause,[],[f4623,f4525,f4634,f4630])).
% 32.39/5.03 tff(f4630,plain,(
% 32.39/5.03 spl8_534 <=> $less(11,$uminus(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_534])])).
% 32.39/5.03 tff(f4634,plain,(
% 32.39/5.03 spl8_535 <=> $less(sK2,abs(11))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_535])])).
% 32.39/5.03 tff(f4623,plain,(
% 32.39/5.03 ~$less(sK2,abs(11)) | $less(11,$uminus(sK2)) | spl8_522),
% 32.39/5.03 inference(resolution,[],[f4527,f89])).
% 32.39/5.03 tff(f4616,plain,(
% 32.39/5.03 ~spl8_533 | ~spl8_519),
% 32.39/5.03 inference(avatar_split_clause,[],[f4606,f4486,f4613])).
% 32.39/5.03 tff(f4486,plain,(
% 32.39/5.03 spl8_519 <=> $less(10,x2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_519])])).
% 32.39/5.03 tff(f4606,plain,(
% 32.39/5.03 ~$less(x2,11) | ~spl8_519),
% 32.39/5.03 inference(evaluation,[],[f4602])).
% 32.39/5.03 tff(f4602,plain,(
% 32.39/5.03 ~$less(x2,$sum(10,1)) | ~spl8_519),
% 32.39/5.03 inference(resolution,[],[f4488,f46])).
% 32.39/5.03 tff(f4488,plain,(
% 32.39/5.03 $less(10,x2) | ~spl8_519),
% 32.39/5.03 inference(avatar_component_clause,[],[f4486])).
% 32.39/5.03 tff(f4611,plain,(
% 32.39/5.03 spl8_532 | ~spl8_519),
% 32.39/5.03 inference(avatar_split_clause,[],[f4601,f4486,f4608])).
% 32.39/5.03 tff(f4608,plain,(
% 32.39/5.03 spl8_532 <=> $less(10,abs(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_532])])).
% 32.39/5.03 tff(f4601,plain,(
% 32.39/5.03 $less(10,abs(x2)) | ~spl8_519),
% 32.39/5.03 inference(resolution,[],[f4488,f87])).
% 32.39/5.03 tff(f4592,plain,(
% 32.39/5.03 spl8_531 | ~spl8_119),
% 32.39/5.03 inference(avatar_split_clause,[],[f4578,f990,f4589])).
% 32.39/5.03 tff(f4589,plain,(
% 32.39/5.03 spl8_531 <=> $less(sK0,abs(abs($sum($product(2,y2),1))))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_531])])).
% 32.39/5.03 tff(f990,plain,(
% 32.39/5.03 spl8_119 <=> $less(sK0,abs($sum($product(2,y2),1)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_119])])).
% 32.39/5.03 tff(f4578,plain,(
% 32.39/5.03 $less(sK0,abs(abs($sum($product(2,y2),1)))) | ~spl8_119),
% 32.39/5.03 inference(resolution,[],[f992,f87])).
% 32.39/5.03 tff(f992,plain,(
% 32.39/5.03 $less(sK0,abs($sum($product(2,y2),1))) | ~spl8_119),
% 32.39/5.03 inference(avatar_component_clause,[],[f990])).
% 32.39/5.03 tff(f4587,plain,(
% 32.39/5.03 ~spl8_530 | ~spl8_119),
% 32.39/5.03 inference(avatar_split_clause,[],[f4579,f990,f4584])).
% 32.39/5.03 tff(f4584,plain,(
% 32.39/5.03 spl8_530 <=> $less(abs($sum($product(2,y2),1)),$sum(sK0,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_530])])).
% 32.39/5.03 tff(f4579,plain,(
% 32.39/5.03 ~$less(abs($sum($product(2,y2),1)),$sum(sK0,1)) | ~spl8_119),
% 32.39/5.03 inference(resolution,[],[f992,f46])).
% 32.39/5.03 tff(f4576,plain,(
% 32.39/5.03 spl8_462 | spl8_529 | spl8_117),
% 32.39/5.03 inference(avatar_split_clause,[],[f4564,f966,f4573,f3914])).
% 32.39/5.03 tff(f3914,plain,(
% 32.39/5.03 spl8_462 <=> $less($sum(sK0,1),$uminus($product(2,y2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_462])])).
% 32.39/5.03 tff(f4573,plain,(
% 32.39/5.03 spl8_529 <=> sQ4_eqProxy($uminus($product(2,y2)),$sum(sK0,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_529])])).
% 32.39/5.03 tff(f4564,plain,(
% 32.39/5.03 sQ4_eqProxy($uminus($product(2,y2)),$sum(sK0,1)) | $less($sum(sK0,1),$uminus($product(2,y2))) | spl8_117),
% 32.39/5.03 inference(resolution,[],[f968,f124])).
% 32.39/5.03 tff(f4571,plain,(
% 32.39/5.03 spl8_528 | spl8_462 | spl8_117),
% 32.39/5.03 inference(avatar_split_clause,[],[f4563,f966,f3914,f4568])).
% 32.39/5.03 tff(f4568,plain,(
% 32.39/5.03 spl8_528 <=> sQ4_eqProxy($sum(sK0,1),$uminus($product(2,y2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_528])])).
% 32.39/5.03 tff(f4563,plain,(
% 32.39/5.03 $less($sum(sK0,1),$uminus($product(2,y2))) | sQ4_eqProxy($sum(sK0,1),$uminus($product(2,y2))) | spl8_117),
% 32.39/5.03 inference(resolution,[],[f968,f124])).
% 32.39/5.03 tff(f4558,plain,(
% 32.39/5.03 spl8_525 | spl8_527 | spl8_116),
% 32.39/5.03 inference(avatar_split_clause,[],[f4534,f955,f4555,f4546])).
% 32.39/5.03 tff(f4546,plain,(
% 32.39/5.03 spl8_525 <=> $less($sum($product(2,y2),1),abs(sK0))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_525])])).
% 32.39/5.03 tff(f4555,plain,(
% 32.39/5.03 spl8_527 <=> sQ4_eqProxy(abs(sK0),$sum($product(2,y2),1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_527])])).
% 32.39/5.03 tff(f4534,plain,(
% 32.39/5.03 $less($sum($product(2,y2),1),abs(sK0)) | sQ4_eqProxy(abs(sK0),$sum($product(2,y2),1)) | spl8_116),
% 32.39/5.03 inference(resolution,[],[f956,f124])).
% 32.39/5.03 tff(f4553,plain,(
% 32.39/5.03 spl8_525 | spl8_526 | spl8_116),
% 32.39/5.03 inference(avatar_split_clause,[],[f4533,f955,f4550,f4546])).
% 32.39/5.03 tff(f4550,plain,(
% 32.39/5.03 spl8_526 <=> sQ4_eqProxy($sum($product(2,y2),1),abs(sK0))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_526])])).
% 32.39/5.03 tff(f4533,plain,(
% 32.39/5.03 $less($sum($product(2,y2),1),abs(sK0)) | sQ4_eqProxy($sum($product(2,y2),1),abs(sK0)) | spl8_116),
% 32.39/5.03 inference(resolution,[],[f956,f124])).
% 32.39/5.03 tff(f4544,plain,(
% 32.39/5.03 ~spl8_523 | spl8_524 | spl8_116),
% 32.39/5.03 inference(avatar_split_clause,[],[f4530,f955,f4541,f4537])).
% 32.39/5.03 tff(f4537,plain,(
% 32.39/5.03 spl8_523 <=> $less(abs(sK0),abs($sum($product(2,y2),1)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_523])])).
% 32.39/5.03 tff(f4541,plain,(
% 32.39/5.03 spl8_524 <=> $less($sum($product(2,y2),1),$uminus(abs(sK0)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_524])])).
% 32.39/5.03 tff(f4530,plain,(
% 32.39/5.03 $less($sum($product(2,y2),1),$uminus(abs(sK0))) | ~$less(abs(sK0),abs($sum($product(2,y2),1))) | spl8_116),
% 32.39/5.03 inference(resolution,[],[f956,f89])).
% 32.39/5.03 tff(f4528,plain,(
% 32.39/5.03 ~spl8_522 | ~spl8_511),
% 32.39/5.03 inference(avatar_split_clause,[],[f4518,f4421,f4525])).
% 32.39/5.03 tff(f4421,plain,(
% 32.39/5.03 spl8_511 <=> $less(10,sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_511])])).
% 32.39/5.03 tff(f4518,plain,(
% 32.39/5.03 ~$less(sK2,11) | ~spl8_511),
% 32.39/5.03 inference(evaluation,[],[f4514])).
% 32.39/5.03 tff(f4514,plain,(
% 32.39/5.03 ~$less(sK2,$sum(10,1)) | ~spl8_511),
% 32.39/5.03 inference(resolution,[],[f4423,f46])).
% 32.39/5.03 tff(f4423,plain,(
% 32.39/5.03 $less(10,sK2) | ~spl8_511),
% 32.39/5.03 inference(avatar_component_clause,[],[f4421])).
% 32.39/5.03 tff(f4523,plain,(
% 32.39/5.03 spl8_521 | ~spl8_511),
% 32.39/5.03 inference(avatar_split_clause,[],[f4513,f4421,f4520])).
% 32.39/5.03 tff(f4520,plain,(
% 32.39/5.03 spl8_521 <=> $less(10,abs(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_521])])).
% 32.39/5.03 tff(f4513,plain,(
% 32.39/5.03 $less(10,abs(sK2)) | ~spl8_511),
% 32.39/5.03 inference(resolution,[],[f4423,f87])).
% 32.39/5.03 tff(f4494,plain,(
% 32.39/5.03 spl8_520 | spl8_519 | spl8_507),
% 32.39/5.03 inference(avatar_split_clause,[],[f4464,f4396,f4486,f4491])).
% 32.39/5.03 tff(f4491,plain,(
% 32.39/5.03 spl8_520 <=> sQ4_eqProxy(10,x2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_520])])).
% 32.39/5.03 tff(f4464,plain,(
% 32.39/5.03 sQ4_eqProxy(10,x2) | $less(10,x2) | spl8_507),
% 32.39/5.03 inference(resolution,[],[f4398,f124])).
% 32.39/5.03 tff(f4489,plain,(
% 32.39/5.03 spl8_518 | spl8_519 | spl8_507),
% 32.39/5.03 inference(avatar_split_clause,[],[f4465,f4396,f4486,f4482])).
% 32.39/5.03 tff(f4482,plain,(
% 32.39/5.03 spl8_518 <=> sQ4_eqProxy(x2,10)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_518])])).
% 32.39/5.03 tff(f4465,plain,(
% 32.39/5.03 $less(10,x2) | sQ4_eqProxy(x2,10) | spl8_507),
% 32.39/5.03 inference(resolution,[],[f4398,f124])).
% 32.39/5.03 tff(f4480,plain,(
% 32.39/5.03 spl8_516 | ~spl8_517 | spl8_507),
% 32.39/5.03 inference(avatar_split_clause,[],[f4461,f4396,f4477,f4473])).
% 32.39/5.03 tff(f4473,plain,(
% 32.39/5.03 spl8_516 <=> $less(10,$uminus(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_516])])).
% 32.39/5.03 tff(f4477,plain,(
% 32.39/5.03 spl8_517 <=> $less(x2,abs(10))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_517])])).
% 32.39/5.03 tff(f4461,plain,(
% 32.39/5.03 $less(10,$uminus(x2)) | ~$less(x2,abs(10)) | spl8_507),
% 32.39/5.03 inference(resolution,[],[f4398,f89])).
% 32.39/5.03 tff(f4471,plain,(
% 32.39/5.03 spl8_515 | spl8_507),
% 32.39/5.03 inference(avatar_split_clause,[],[f4462,f4396,f4468])).
% 32.39/5.03 tff(f4468,plain,(
% 32.39/5.03 spl8_515 <=> $less(10,$sum(x2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_515])])).
% 32.39/5.03 tff(f4462,plain,(
% 32.39/5.03 $less(10,$sum(x2,1)) | spl8_507),
% 32.39/5.03 inference(resolution,[],[f4398,f38])).
% 32.39/5.03 tff(f4445,plain,(
% 32.39/5.03 spl8_514 | ~spl8_35 | ~spl8_46),
% 32.39/5.03 inference(avatar_split_clause,[],[f4440,f424,f360,f4442])).
% 32.39/5.03 tff(f4442,plain,(
% 32.39/5.03 spl8_514 <=> $less($product(2,$sum(y2,$uminus(x2))),$product(2,y2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_514])])).
% 32.39/5.03 tff(f360,plain,(
% 32.39/5.03 spl8_35 <=> $less(sK0,$product(2,y2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_35])])).
% 32.39/5.03 tff(f4440,plain,(
% 32.39/5.03 $less($product(2,$sum(y2,$uminus(x2))),$product(2,y2)) | (~spl8_35 | ~spl8_46)),
% 32.39/5.03 inference(resolution,[],[f779,f426])).
% 32.39/5.03 tff(f779,plain,(
% 32.39/5.03 ( ! [X0 : $int] : (~$less(X0,sK0) | $less(X0,$product(2,y2))) ) | ~spl8_35),
% 32.39/5.03 inference(resolution,[],[f362,f35])).
% 32.39/5.03 tff(f362,plain,(
% 32.39/5.03 $less(sK0,$product(2,y2)) | ~spl8_35),
% 32.39/5.03 inference(avatar_component_clause,[],[f360])).
% 32.39/5.03 tff(f4433,plain,(
% 32.39/5.03 spl8_511 | spl8_513 | spl8_504),
% 32.39/5.03 inference(avatar_split_clause,[],[f4403,f4375,f4430,f4421])).
% 32.39/5.03 tff(f4430,plain,(
% 32.39/5.03 spl8_513 <=> sQ4_eqProxy(10,sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_513])])).
% 32.39/5.03 tff(f4403,plain,(
% 32.39/5.03 sQ4_eqProxy(10,sK2) | $less(10,sK2) | spl8_504),
% 32.39/5.03 inference(resolution,[],[f4377,f124])).
% 32.39/5.03 tff(f4428,plain,(
% 32.39/5.03 spl8_511 | spl8_512 | spl8_504),
% 32.39/5.03 inference(avatar_split_clause,[],[f4404,f4375,f4425,f4421])).
% 32.39/5.03 tff(f4425,plain,(
% 32.39/5.03 spl8_512 <=> sQ4_eqProxy(sK2,10)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_512])])).
% 32.39/5.03 tff(f4404,plain,(
% 32.39/5.03 sQ4_eqProxy(sK2,10) | $less(10,sK2) | spl8_504),
% 32.39/5.03 inference(resolution,[],[f4377,f124])).
% 32.39/5.03 tff(f4419,plain,(
% 32.39/5.03 spl8_510 | spl8_504),
% 32.39/5.03 inference(avatar_split_clause,[],[f4401,f4375,f4416])).
% 32.39/5.03 tff(f4416,plain,(
% 32.39/5.03 spl8_510 <=> $less(10,$sum(sK2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_510])])).
% 32.39/5.03 tff(f4401,plain,(
% 32.39/5.03 $less(10,$sum(sK2,1)) | spl8_504),
% 32.39/5.03 inference(resolution,[],[f4377,f38])).
% 32.39/5.03 tff(f4414,plain,(
% 32.39/5.03 ~spl8_508 | spl8_509 | spl8_504),
% 32.39/5.03 inference(avatar_split_clause,[],[f4400,f4375,f4411,f4407])).
% 32.39/5.03 tff(f4407,plain,(
% 32.39/5.03 spl8_508 <=> $less(sK2,abs(10))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_508])])).
% 32.39/5.03 tff(f4411,plain,(
% 32.39/5.03 spl8_509 <=> $less(10,$uminus(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_509])])).
% 32.39/5.03 tff(f4400,plain,(
% 32.39/5.03 ~$less(sK2,abs(10)) | $less(10,$uminus(sK2)) | spl8_504),
% 32.39/5.03 inference(resolution,[],[f4377,f89])).
% 32.39/5.03 tff(f4399,plain,(
% 32.39/5.03 ~spl8_507 | ~spl8_488),
% 32.39/5.03 inference(avatar_split_clause,[],[f4389,f4198,f4396])).
% 32.39/5.03 tff(f4198,plain,(
% 32.39/5.03 spl8_488 <=> $less(9,x2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_488])])).
% 32.39/5.03 tff(f4389,plain,(
% 32.39/5.03 ~$less(x2,10) | ~spl8_488),
% 32.39/5.03 inference(evaluation,[],[f4385])).
% 32.39/5.03 tff(f4385,plain,(
% 32.39/5.03 ~$less(x2,$sum(9,1)) | ~spl8_488),
% 32.39/5.03 inference(resolution,[],[f4200,f46])).
% 32.39/5.03 tff(f4200,plain,(
% 32.39/5.03 $less(9,x2) | ~spl8_488),
% 32.39/5.03 inference(avatar_component_clause,[],[f4198])).
% 32.39/5.03 tff(f4394,plain,(
% 32.39/5.03 spl8_506 | ~spl8_488),
% 32.39/5.03 inference(avatar_split_clause,[],[f4384,f4198,f4391])).
% 32.39/5.03 tff(f4391,plain,(
% 32.39/5.03 spl8_506 <=> $less(9,abs(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_506])])).
% 32.39/5.03 tff(f4384,plain,(
% 32.39/5.03 $less(9,abs(x2)) | ~spl8_488),
% 32.39/5.03 inference(resolution,[],[f4200,f87])).
% 32.39/5.03 tff(f4383,plain,(
% 32.39/5.03 spl8_505 | ~spl8_440),
% 32.39/5.03 inference(avatar_split_clause,[],[f4368,f3772,f4380])).
% 32.39/5.03 tff(f4380,plain,(
% 32.39/5.03 spl8_505 <=> $less(9,abs(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_505])])).
% 32.39/5.03 tff(f3772,plain,(
% 32.39/5.03 spl8_440 <=> $less(9,sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_440])])).
% 32.39/5.03 tff(f4368,plain,(
% 32.39/5.03 $less(9,abs(sK2)) | ~spl8_440),
% 32.39/5.03 inference(resolution,[],[f3774,f87])).
% 32.39/5.03 tff(f3774,plain,(
% 32.39/5.03 $less(9,sK2) | ~spl8_440),
% 32.39/5.03 inference(avatar_component_clause,[],[f3772])).
% 32.39/5.03 tff(f4378,plain,(
% 32.39/5.03 ~spl8_504 | ~spl8_440),
% 32.39/5.03 inference(avatar_split_clause,[],[f4373,f3772,f4375])).
% 32.39/5.03 tff(f4373,plain,(
% 32.39/5.03 ~$less(sK2,10) | ~spl8_440),
% 32.39/5.03 inference(evaluation,[],[f4369])).
% 32.39/5.03 tff(f4369,plain,(
% 32.39/5.03 ~$less(sK2,$sum(9,1)) | ~spl8_440),
% 32.39/5.03 inference(resolution,[],[f3774,f46])).
% 32.39/5.03 tff(f4365,plain,(
% 32.39/5.03 spl8_503 | ~spl8_9 | ~spl8_35),
% 32.39/5.03 inference(avatar_split_clause,[],[f4324,f360,f197,f4362])).
% 32.39/5.03 tff(f4362,plain,(
% 32.39/5.03 spl8_503 <=> $less(sK0,$sum($uminus(sK2),$product(2,y2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_503])])).
% 32.39/5.03 tff(f4324,plain,(
% 32.39/5.03 $less(sK0,$sum($uminus(sK2),$product(2,y2))) | (~spl8_9 | ~spl8_35)),
% 32.39/5.03 inference(resolution,[],[f778,f548])).
% 32.39/5.03 tff(f778,plain,(
% 32.39/5.03 ( ! [X0 : $int] : (~$less($product(2,y2),X0) | $less(sK0,X0)) ) | ~spl8_35),
% 32.39/5.03 inference(resolution,[],[f362,f35])).
% 32.39/5.03 tff(f4360,plain,(
% 32.39/5.03 spl8_502 | ~spl8_26 | ~spl8_35),
% 32.39/5.03 inference(avatar_split_clause,[],[f4325,f360,f291,f4357])).
% 32.39/5.03 tff(f4357,plain,(
% 32.39/5.03 spl8_502 <=> $less(sK0,$sum($uminus(x2),$product(2,y2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_502])])).
% 32.39/5.03 tff(f4325,plain,(
% 32.39/5.03 $less(sK0,$sum($uminus(x2),$product(2,y2))) | (~spl8_26 | ~spl8_35)),
% 32.39/5.03 inference(resolution,[],[f778,f705])).
% 32.39/5.03 tff(f4355,plain,(
% 32.39/5.03 spl8_501 | ~spl8_15 | ~spl8_35),
% 32.39/5.03 inference(avatar_split_clause,[],[f4326,f360,f225,f4352])).
% 32.39/5.03 tff(f4352,plain,(
% 32.39/5.03 spl8_501 <=> $less(sK0,$sum($sum(sK2,1),$product(2,y2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_501])])).
% 32.39/5.03 tff(f4326,plain,(
% 32.39/5.03 $less(sK0,$sum($sum(sK2,1),$product(2,y2))) | (~spl8_15 | ~spl8_35)),
% 32.39/5.03 inference(resolution,[],[f778,f731])).
% 32.39/5.03 tff(f4350,plain,(
% 32.39/5.03 spl8_500 | ~spl8_35 | ~spl8_112),
% 32.39/5.03 inference(avatar_split_clause,[],[f4302,f935,f360,f4347])).
% 32.39/5.03 tff(f4347,plain,(
% 32.39/5.03 spl8_500 <=> $less(sK0,abs(abs(sK0)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_500])])).
% 32.39/5.03 tff(f4302,plain,(
% 32.39/5.03 $less(sK0,abs(abs(sK0))) | (~spl8_35 | ~spl8_112)),
% 32.39/5.03 inference(resolution,[],[f778,f936])).
% 32.39/5.03 tff(f4345,plain,(
% 32.39/5.03 spl8_499 | ~spl8_22 | ~spl8_35),
% 32.39/5.03 inference(avatar_split_clause,[],[f4327,f360,f272,f4342])).
% 32.39/5.03 tff(f4342,plain,(
% 32.39/5.03 spl8_499 <=> $less(sK0,$sum($sum(x2,1),$product(2,y2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_499])])).
% 32.39/5.03 tff(f4327,plain,(
% 32.39/5.03 $less(sK0,$sum($sum(x2,1),$product(2,y2))) | (~spl8_22 | ~spl8_35)),
% 32.39/5.03 inference(resolution,[],[f778,f764])).
% 32.39/5.03 tff(f4340,plain,(
% 32.39/5.03 spl8_498 | ~spl8_13 | ~spl8_35),
% 32.39/5.03 inference(avatar_split_clause,[],[f4328,f360,f215,f4337])).
% 32.39/5.03 tff(f4337,plain,(
% 32.39/5.03 spl8_498 <=> $less(sK0,$sum(sK2,$product(2,y2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_498])])).
% 32.39/5.03 tff(f4328,plain,(
% 32.39/5.03 $less(sK0,$sum(sK2,$product(2,y2))) | (~spl8_13 | ~spl8_35)),
% 32.39/5.03 inference(resolution,[],[f778,f310])).
% 32.39/5.03 tff(f4335,plain,(
% 32.39/5.03 spl8_497 | ~spl8_23 | ~spl8_35),
% 32.39/5.03 inference(avatar_split_clause,[],[f4322,f360,f277,f4332])).
% 32.39/5.03 tff(f4332,plain,(
% 32.39/5.03 spl8_497 <=> $less(sK0,$sum(x2,$product(2,y2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_497])])).
% 32.39/5.03 tff(f4322,plain,(
% 32.39/5.03 $less(sK0,$sum(x2,$product(2,y2))) | (~spl8_23 | ~spl8_35)),
% 32.39/5.03 inference(resolution,[],[f778,f342])).
% 32.39/5.03 tff(f4275,plain,(
% 32.39/5.03 spl8_496 | ~spl8_22 | ~spl8_26),
% 32.39/5.03 inference(avatar_split_clause,[],[f4231,f291,f272,f4272])).
% 32.39/5.03 tff(f4272,plain,(
% 32.39/5.03 spl8_496 <=> $less(0,$sum($uminus(x2),$sum(x2,1)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_496])])).
% 32.39/5.03 tff(f4231,plain,(
% 32.39/5.03 $less(0,$sum($uminus(x2),$sum(x2,1))) | (~spl8_22 | ~spl8_26)),
% 32.39/5.03 inference(resolution,[],[f761,f705])).
% 32.39/5.03 tff(f4270,plain,(
% 32.39/5.03 spl8_495 | ~spl8_22),
% 32.39/5.03 inference(avatar_split_clause,[],[f4236,f272,f4267])).
% 32.39/5.03 tff(f4267,plain,(
% 32.39/5.03 spl8_495 <=> $less(0,$sum(2,$sum(x2,x2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_495])])).
% 32.39/5.03 tff(f4236,plain,(
% 32.39/5.03 $less(0,$sum(2,$sum(x2,x2))) | ~spl8_22),
% 32.39/5.03 inference(evaluation,[],[f4233])).
% 32.39/5.03 tff(f4233,plain,(
% 32.39/5.03 $less(0,$sum($sum(x2,1),$sum(x2,1))) | ~spl8_22),
% 32.39/5.03 inference(resolution,[],[f761,f764])).
% 32.39/5.03 tff(f4265,plain,(
% 32.39/5.03 spl8_494 | ~spl8_22 | ~spl8_23),
% 32.39/5.03 inference(avatar_split_clause,[],[f4229,f277,f272,f4262])).
% 32.39/5.03 tff(f4262,plain,(
% 32.39/5.03 spl8_494 <=> $less(0,$sum(x2,$sum(x2,1)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_494])])).
% 32.39/5.03 tff(f4229,plain,(
% 32.39/5.03 $less(0,$sum(x2,$sum(x2,1))) | (~spl8_22 | ~spl8_23)),
% 32.39/5.03 inference(resolution,[],[f761,f342])).
% 32.39/5.03 tff(f4260,plain,(
% 32.39/5.03 spl8_493 | ~spl8_13 | ~spl8_22),
% 32.39/5.03 inference(avatar_split_clause,[],[f4234,f272,f215,f4257])).
% 32.39/5.03 tff(f4257,plain,(
% 32.39/5.03 spl8_493 <=> $less(0,$sum(sK2,$sum(x2,1)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_493])])).
% 32.39/5.03 tff(f4234,plain,(
% 32.39/5.03 $less(0,$sum(sK2,$sum(x2,1))) | (~spl8_13 | ~spl8_22)),
% 32.39/5.03 inference(resolution,[],[f761,f310])).
% 32.39/5.03 tff(f4255,plain,(
% 32.39/5.03 spl8_492 | ~spl8_15 | ~spl8_22),
% 32.39/5.03 inference(avatar_split_clause,[],[f4239,f272,f225,f4252])).
% 32.39/5.03 tff(f4252,plain,(
% 32.39/5.03 spl8_492 <=> $less(0,$sum(2,$sum(sK2,x2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_492])])).
% 32.39/5.03 tff(f4239,plain,(
% 32.39/5.03 $less(0,$sum(2,$sum(sK2,x2))) | (~spl8_15 | ~spl8_22)),
% 32.39/5.03 inference(evaluation,[],[f4232])).
% 32.39/5.03 tff(f4232,plain,(
% 32.39/5.03 $less(0,$sum($sum(sK2,1),$sum(x2,1))) | (~spl8_15 | ~spl8_22)),
% 32.39/5.03 inference(resolution,[],[f761,f731])).
% 32.39/5.03 tff(f4250,plain,(
% 32.39/5.03 spl8_491 | ~spl8_9 | ~spl8_22),
% 32.39/5.03 inference(avatar_split_clause,[],[f4230,f272,f197,f4247])).
% 32.39/5.03 tff(f4247,plain,(
% 32.39/5.03 spl8_491 <=> $less(0,$sum($uminus(sK2),$sum(x2,1)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_491])])).
% 32.39/5.03 tff(f4230,plain,(
% 32.39/5.03 $less(0,$sum($uminus(sK2),$sum(x2,1))) | (~spl8_9 | ~spl8_22)),
% 32.39/5.03 inference(resolution,[],[f761,f548])).
% 32.39/5.03 tff(f4245,plain,(
% 32.39/5.03 spl8_490 | ~spl8_20 | ~spl8_22),
% 32.39/5.03 inference(avatar_split_clause,[],[f4207,f272,f254,f4242])).
% 32.39/5.03 tff(f4242,plain,(
% 32.39/5.03 spl8_490 <=> $less(0,$sum(abs(sK2),1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_490])])).
% 32.39/5.03 tff(f4207,plain,(
% 32.39/5.03 $less(0,$sum(abs(sK2),1)) | (~spl8_20 | ~spl8_22)),
% 32.39/5.03 inference(resolution,[],[f761,f650])).
% 32.39/5.03 tff(f650,plain,(
% 32.39/5.03 ( ! [X0 : $int] : ($less($sum(x2,X0),$sum(abs(sK2),X0))) ) | ~spl8_20),
% 32.39/5.03 inference(resolution,[],[f255,f37])).
% 32.39/5.03 tff(f4206,plain,(
% 32.39/5.03 spl8_488 | spl8_489 | spl8_434),
% 32.39/5.03 inference(avatar_split_clause,[],[f4177,f3738,f4203,f4198])).
% 32.39/5.03 tff(f4203,plain,(
% 32.39/5.03 spl8_489 <=> sQ4_eqProxy(x2,9)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_489])])).
% 32.39/5.03 tff(f4177,plain,(
% 32.39/5.03 sQ4_eqProxy(x2,9) | $less(9,x2) | spl8_434),
% 32.39/5.03 inference(resolution,[],[f3740,f124])).
% 32.39/5.03 tff(f4201,plain,(
% 32.39/5.03 spl8_487 | spl8_488 | spl8_434),
% 32.39/5.03 inference(avatar_split_clause,[],[f4176,f3738,f4198,f4194])).
% 32.39/5.03 tff(f4194,plain,(
% 32.39/5.03 spl8_487 <=> sQ4_eqProxy(9,x2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_487])])).
% 32.39/5.03 tff(f4176,plain,(
% 32.39/5.03 sQ4_eqProxy(9,x2) | $less(9,x2) | spl8_434),
% 32.39/5.03 inference(resolution,[],[f3740,f124])).
% 32.39/5.03 tff(f4192,plain,(
% 32.39/5.03 spl8_485 | ~spl8_486 | spl8_434),
% 32.39/5.03 inference(avatar_split_clause,[],[f4173,f3738,f4189,f4185])).
% 32.39/5.03 tff(f4185,plain,(
% 32.39/5.03 spl8_485 <=> $less(9,$uminus(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_485])])).
% 32.39/5.03 tff(f4189,plain,(
% 32.39/5.03 spl8_486 <=> $less(x2,abs(9))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_486])])).
% 32.39/5.03 tff(f4173,plain,(
% 32.39/5.03 ~$less(x2,abs(9)) | $less(9,$uminus(x2)) | spl8_434),
% 32.39/5.03 inference(resolution,[],[f3740,f89])).
% 32.39/5.03 tff(f4183,plain,(
% 32.39/5.03 spl8_484 | spl8_434),
% 32.39/5.03 inference(avatar_split_clause,[],[f4174,f3738,f4180])).
% 32.39/5.03 tff(f4180,plain,(
% 32.39/5.03 spl8_484 <=> $less(9,$sum(x2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_484])])).
% 32.39/5.03 tff(f4174,plain,(
% 32.39/5.03 $less(9,$sum(x2,1)) | spl8_434),
% 32.39/5.03 inference(resolution,[],[f3740,f38])).
% 32.39/5.03 tff(f4172,plain,(
% 32.39/5.03 spl8_483 | ~spl8_21 | ~spl8_246),
% 32.39/5.03 inference(avatar_split_clause,[],[f4161,f2000,f259,f4169])).
% 32.39/5.03 tff(f4169,plain,(
% 32.39/5.03 spl8_483 <=> $less(sK0,$sum(x2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_483])])).
% 32.39/5.03 tff(f4161,plain,(
% 32.39/5.03 $less(sK0,$sum(x2,1)) | (~spl8_21 | ~spl8_246)),
% 32.39/5.03 inference(resolution,[],[f746,f2002])).
% 32.39/5.03 tff(f4151,plain,(
% 32.39/5.03 spl8_482 | ~spl8_21 | ~spl8_23),
% 32.39/5.03 inference(avatar_split_clause,[],[f4112,f277,f259,f4148])).
% 32.39/5.03 tff(f4148,plain,(
% 32.39/5.03 spl8_482 <=> $less(sK2,$sum(x2,$sum(x2,1)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_482])])).
% 32.39/5.03 tff(f4112,plain,(
% 32.39/5.03 $less(sK2,$sum(x2,$sum(x2,1))) | (~spl8_21 | ~spl8_23)),
% 32.39/5.03 inference(resolution,[],[f745,f342])).
% 32.39/5.03 tff(f4146,plain,(
% 32.39/5.03 spl8_481 | ~spl8_21 | ~spl8_22),
% 32.39/5.03 inference(avatar_split_clause,[],[f4120,f272,f259,f4143])).
% 32.39/5.03 tff(f4143,plain,(
% 32.39/5.03 spl8_481 <=> $less(sK2,$sum(2,$sum(x2,x2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_481])])).
% 32.39/5.03 tff(f4120,plain,(
% 32.39/5.03 $less(sK2,$sum(2,$sum(x2,x2))) | (~spl8_21 | ~spl8_22)),
% 32.39/5.03 inference(evaluation,[],[f4116])).
% 32.39/5.03 tff(f4116,plain,(
% 32.39/5.03 $less(sK2,$sum($sum(x2,1),$sum(x2,1))) | (~spl8_21 | ~spl8_22)),
% 32.39/5.03 inference(resolution,[],[f745,f764])).
% 32.39/5.03 tff(f4141,plain,(
% 32.39/5.03 spl8_480 | ~spl8_13 | ~spl8_21),
% 32.39/5.03 inference(avatar_split_clause,[],[f4117,f259,f215,f4138])).
% 32.39/5.03 tff(f4138,plain,(
% 32.39/5.03 spl8_480 <=> $less(sK2,$sum(sK2,$sum(x2,1)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_480])])).
% 32.39/5.03 tff(f4117,plain,(
% 32.39/5.03 $less(sK2,$sum(sK2,$sum(x2,1))) | (~spl8_13 | ~spl8_21)),
% 32.39/5.03 inference(resolution,[],[f745,f310])).
% 32.39/5.03 tff(f4136,plain,(
% 32.39/5.03 spl8_479 | ~spl8_9 | ~spl8_21),
% 32.39/5.03 inference(avatar_split_clause,[],[f4113,f259,f197,f4133])).
% 32.39/5.03 tff(f4133,plain,(
% 32.39/5.03 spl8_479 <=> $less(sK2,$sum($uminus(sK2),$sum(x2,1)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_479])])).
% 32.39/5.03 tff(f4113,plain,(
% 32.39/5.03 $less(sK2,$sum($uminus(sK2),$sum(x2,1))) | (~spl8_9 | ~spl8_21)),
% 32.39/5.03 inference(resolution,[],[f745,f548])).
% 32.39/5.03 tff(f4131,plain,(
% 32.39/5.03 spl8_478 | ~spl8_15 | ~spl8_21),
% 32.39/5.03 inference(avatar_split_clause,[],[f4121,f259,f225,f4128])).
% 32.39/5.03 tff(f4128,plain,(
% 32.39/5.03 spl8_478 <=> $less(sK2,$sum(2,$sum(sK2,x2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_478])])).
% 32.39/5.03 tff(f4121,plain,(
% 32.39/5.03 $less(sK2,$sum(2,$sum(sK2,x2))) | (~spl8_15 | ~spl8_21)),
% 32.39/5.03 inference(evaluation,[],[f4115])).
% 32.39/5.03 tff(f4115,plain,(
% 32.39/5.03 $less(sK2,$sum($sum(sK2,1),$sum(x2,1))) | (~spl8_15 | ~spl8_21)),
% 32.39/5.03 inference(resolution,[],[f745,f731])).
% 32.39/5.03 tff(f4126,plain,(
% 32.39/5.03 spl8_477 | ~spl8_21 | ~spl8_26),
% 32.39/5.03 inference(avatar_split_clause,[],[f4114,f291,f259,f4123])).
% 32.39/5.03 tff(f4123,plain,(
% 32.39/5.03 spl8_477 <=> $less(sK2,$sum($uminus(x2),$sum(x2,1)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_477])])).
% 32.39/5.03 tff(f4114,plain,(
% 32.39/5.03 $less(sK2,$sum($uminus(x2),$sum(x2,1))) | (~spl8_21 | ~spl8_26)),
% 32.39/5.03 inference(resolution,[],[f745,f705])).
% 32.39/5.03 tff(f4089,plain,(
% 32.39/5.03 ~spl8_476 | ~spl8_15),
% 32.39/5.03 inference(avatar_split_clause,[],[f4061,f225,f4086])).
% 32.39/5.03 tff(f4086,plain,(
% 32.39/5.03 spl8_476 <=> $less($sum(sK2,1),0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_476])])).
% 32.39/5.03 tff(f4061,plain,(
% 32.39/5.03 ~$less($sum(sK2,1),0) | ~spl8_15),
% 32.39/5.03 inference(resolution,[],[f728,f34])).
% 32.39/5.03 tff(f4059,plain,(
% 32.39/5.03 spl8_475 | ~spl8_13 | ~spl8_15),
% 32.39/5.03 inference(avatar_split_clause,[],[f4014,f225,f215,f4056])).
% 32.39/5.03 tff(f4056,plain,(
% 32.39/5.03 spl8_475 <=> $less(0,$sum(sK2,$sum(sK2,1)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_475])])).
% 32.39/5.03 tff(f4014,plain,(
% 32.39/5.03 $less(0,$sum(sK2,$sum(sK2,1))) | (~spl8_13 | ~spl8_15)),
% 32.39/5.03 inference(resolution,[],[f727,f310])).
% 32.39/5.03 tff(f4054,plain,(
% 32.39/5.03 spl8_474 | ~spl8_15),
% 32.39/5.03 inference(avatar_split_clause,[],[f4015,f225,f4051])).
% 32.39/5.03 tff(f4051,plain,(
% 32.39/5.03 spl8_474 <=> sQ4_eqProxy(abs($sum(sK2,1)),$sum(sK2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_474])])).
% 32.39/5.03 tff(f4015,plain,(
% 32.39/5.03 sQ4_eqProxy(abs($sum(sK2,1)),$sum(sK2,1)) | ~spl8_15),
% 32.39/5.03 inference(evaluation,[],[f3996])).
% 32.39/5.03 tff(f3996,plain,(
% 32.39/5.03 sQ4_eqProxy(abs($sum(sK2,1)),$sum(sK2,1)) | $less(0,0) | ~spl8_15),
% 32.39/5.03 inference(resolution,[],[f727,f127])).
% 32.39/5.03 tff(f4049,plain,(
% 32.39/5.03 spl8_473 | ~spl8_15 | ~spl8_22),
% 32.39/5.03 inference(avatar_split_clause,[],[f4017,f272,f225,f4046])).
% 32.39/5.03 tff(f4046,plain,(
% 32.39/5.03 spl8_473 <=> $less(0,$sum(2,$sum(x2,sK2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_473])])).
% 32.39/5.03 tff(f4017,plain,(
% 32.39/5.03 $less(0,$sum(2,$sum(x2,sK2))) | (~spl8_15 | ~spl8_22)),
% 32.39/5.03 inference(evaluation,[],[f4013])).
% 32.39/5.03 tff(f4013,plain,(
% 32.39/5.03 $less(0,$sum($sum(x2,1),$sum(sK2,1))) | (~spl8_15 | ~spl8_22)),
% 32.39/5.03 inference(resolution,[],[f727,f764])).
% 32.39/5.03 tff(f4044,plain,(
% 32.39/5.03 spl8_472 | ~spl8_15 | ~spl8_26),
% 32.39/5.03 inference(avatar_split_clause,[],[f4011,f291,f225,f4041])).
% 32.39/5.03 tff(f4041,plain,(
% 32.39/5.03 spl8_472 <=> $less(0,$sum($uminus(x2),$sum(sK2,1)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_472])])).
% 32.39/5.03 tff(f4011,plain,(
% 32.39/5.03 $less(0,$sum($uminus(x2),$sum(sK2,1))) | (~spl8_15 | ~spl8_26)),
% 32.39/5.03 inference(resolution,[],[f727,f705])).
% 32.39/5.03 tff(f4039,plain,(
% 32.39/5.03 spl8_471 | ~spl8_15),
% 32.39/5.03 inference(avatar_split_clause,[],[f4018,f225,f4036])).
% 32.39/5.03 tff(f4036,plain,(
% 32.39/5.03 spl8_471 <=> $less(0,$sum(2,$sum(sK2,sK2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_471])])).
% 32.39/5.03 tff(f4018,plain,(
% 32.39/5.03 $less(0,$sum(2,$sum(sK2,sK2))) | ~spl8_15),
% 32.39/5.03 inference(evaluation,[],[f4012])).
% 32.39/5.03 tff(f4012,plain,(
% 32.39/5.03 $less(0,$sum($sum(sK2,1),$sum(sK2,1))) | ~spl8_15),
% 32.39/5.03 inference(resolution,[],[f727,f731])).
% 32.39/5.03 tff(f4034,plain,(
% 32.39/5.03 spl8_470 | ~spl8_10 | ~spl8_15),
% 32.39/5.03 inference(avatar_split_clause,[],[f3987,f225,f201,f4031])).
% 32.39/5.03 tff(f4031,plain,(
% 32.39/5.03 spl8_470 <=> $less(0,$sum(abs(0),1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_470])])).
% 32.39/5.03 tff(f3987,plain,(
% 32.39/5.03 $less(0,$sum(abs(0),1)) | (~spl8_10 | ~spl8_15)),
% 32.39/5.03 inference(resolution,[],[f727,f581])).
% 32.39/5.03 tff(f581,plain,(
% 32.39/5.03 ( ! [X0 : $int] : ($less($sum(sK2,X0),$sum(abs(0),X0))) ) | ~spl8_10),
% 32.39/5.03 inference(resolution,[],[f202,f37])).
% 32.39/5.03 tff(f4029,plain,(
% 32.39/5.03 spl8_469 | ~spl8_15 | ~spl8_23),
% 32.39/5.03 inference(avatar_split_clause,[],[f4009,f277,f225,f4026])).
% 32.39/5.03 tff(f4026,plain,(
% 32.39/5.03 spl8_469 <=> $less(0,$sum(x2,$sum(sK2,1)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_469])])).
% 32.39/5.03 tff(f4009,plain,(
% 32.39/5.03 $less(0,$sum(x2,$sum(sK2,1))) | (~spl8_15 | ~spl8_23)),
% 32.39/5.03 inference(resolution,[],[f727,f342])).
% 32.39/5.03 tff(f4024,plain,(
% 32.39/5.03 spl8_468 | ~spl8_9 | ~spl8_15),
% 32.39/5.03 inference(avatar_split_clause,[],[f4010,f225,f197,f4021])).
% 32.39/5.03 tff(f4021,plain,(
% 32.39/5.03 spl8_468 <=> $less(0,$sum($uminus(sK2),$sum(sK2,1)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_468])])).
% 32.39/5.03 tff(f4010,plain,(
% 32.39/5.03 $less(0,$sum($uminus(sK2),$sum(sK2,1))) | (~spl8_9 | ~spl8_15)),
% 32.39/5.03 inference(resolution,[],[f727,f548])).
% 32.39/5.03 tff(f3961,plain,(
% 32.39/5.03 ~spl8_467 | ~spl8_118),
% 32.39/5.03 inference(avatar_split_clause,[],[f3948,f971,f3958])).
% 32.39/5.03 tff(f3958,plain,(
% 32.39/5.03 spl8_467 <=> $less(abs($uminus($product(2,y2))),$sum(sK0,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_467])])).
% 32.39/5.03 tff(f971,plain,(
% 32.39/5.03 spl8_118 <=> $less(sK0,abs($uminus($product(2,y2))))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_118])])).
% 32.39/5.03 tff(f3948,plain,(
% 32.39/5.03 ~$less(abs($uminus($product(2,y2))),$sum(sK0,1)) | ~spl8_118),
% 32.39/5.03 inference(resolution,[],[f973,f46])).
% 32.39/5.03 tff(f973,plain,(
% 32.39/5.03 $less(sK0,abs($uminus($product(2,y2)))) | ~spl8_118),
% 32.39/5.03 inference(avatar_component_clause,[],[f971])).
% 32.39/5.03 tff(f3956,plain,(
% 32.39/5.03 spl8_466 | ~spl8_118),
% 32.39/5.03 inference(avatar_split_clause,[],[f3947,f971,f3953])).
% 32.39/5.03 tff(f3953,plain,(
% 32.39/5.03 spl8_466 <=> $less(sK0,abs(abs($uminus($product(2,y2)))))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_466])])).
% 32.39/5.03 tff(f3947,plain,(
% 32.39/5.03 $less(sK0,abs(abs($uminus($product(2,y2))))) | ~spl8_118),
% 32.39/5.03 inference(resolution,[],[f973,f87])).
% 32.39/5.03 tff(f3945,plain,(
% 32.39/5.03 ~spl8_465 | ~spl8_112),
% 32.39/5.03 inference(avatar_split_clause,[],[f3927,f935,f3942])).
% 32.39/5.03 tff(f3942,plain,(
% 32.39/5.03 spl8_465 <=> $less(abs(abs(sK0)),$sum($product(2,y2),1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_465])])).
% 32.39/5.03 tff(f3927,plain,(
% 32.39/5.03 ~$less(abs(abs(sK0)),$sum($product(2,y2),1)) | ~spl8_112),
% 32.39/5.03 inference(resolution,[],[f936,f46])).
% 32.39/5.03 tff(f3940,plain,(
% 32.39/5.03 ~spl8_464 | spl8_4 | ~spl8_112),
% 32.39/5.03 inference(avatar_split_clause,[],[f3924,f935,f163,f3937])).
% 32.39/5.03 tff(f3937,plain,(
% 32.39/5.03 spl8_464 <=> $less(abs(abs(sK0)),sK0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_464])])).
% 32.39/5.03 tff(f3924,plain,(
% 32.39/5.03 ~$less(abs(abs(sK0)),sK0) | (spl8_4 | ~spl8_112)),
% 32.39/5.03 inference(resolution,[],[f936,f355])).
% 32.39/5.03 tff(f3935,plain,(
% 32.39/5.03 spl8_463 | ~spl8_112),
% 32.39/5.03 inference(avatar_split_clause,[],[f3926,f935,f3932])).
% 32.39/5.03 tff(f3932,plain,(
% 32.39/5.03 spl8_463 <=> $less($product(2,y2),abs(abs(abs(sK0))))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_463])])).
% 32.39/5.03 tff(f3926,plain,(
% 32.39/5.03 $less($product(2,y2),abs(abs(abs(sK0)))) | ~spl8_112),
% 32.39/5.03 inference(resolution,[],[f936,f87])).
% 32.39/5.03 tff(f3917,plain,(
% 32.39/5.03 ~spl8_461 | spl8_462 | spl8_95),
% 32.39/5.03 inference(avatar_split_clause,[],[f3889,f787,f3914,f3910])).
% 32.39/5.03 tff(f3910,plain,(
% 32.39/5.03 spl8_461 <=> $less($product(2,y2),abs($sum(sK0,1)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_461])])).
% 32.39/5.03 tff(f3889,plain,(
% 32.39/5.03 ~$less($product(2,y2),abs($sum(sK0,1))) | $less($sum(sK0,1),$uminus($product(2,y2))) | spl8_95),
% 32.39/5.03 inference(resolution,[],[f789,f89])).
% 32.39/5.03 tff(f3908,plain,(
% 32.39/5.03 spl8_458 | spl8_460 | spl8_95),
% 32.39/5.03 inference(avatar_split_clause,[],[f3893,f787,f3905,f3896])).
% 32.39/5.03 tff(f3896,plain,(
% 32.39/5.03 spl8_458 <=> $less($sum(sK0,1),$product(2,y2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_458])])).
% 32.39/5.03 tff(f3905,plain,(
% 32.39/5.03 spl8_460 <=> sQ4_eqProxy($product(2,y2),$sum(sK0,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_460])])).
% 32.39/5.03 tff(f3893,plain,(
% 32.39/5.03 sQ4_eqProxy($product(2,y2),$sum(sK0,1)) | $less($sum(sK0,1),$product(2,y2)) | spl8_95),
% 32.39/5.03 inference(resolution,[],[f789,f124])).
% 32.39/5.03 tff(f3903,plain,(
% 32.39/5.03 spl8_458 | spl8_459 | spl8_95),
% 32.39/5.03 inference(avatar_split_clause,[],[f3892,f787,f3900,f3896])).
% 32.39/5.03 tff(f3900,plain,(
% 32.39/5.03 spl8_459 <=> sQ4_eqProxy($sum(sK0,1),$product(2,y2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_459])])).
% 32.39/5.03 tff(f3892,plain,(
% 32.39/5.03 sQ4_eqProxy($sum(sK0,1),$product(2,y2)) | $less($sum(sK0,1),$product(2,y2)) | spl8_95),
% 32.39/5.03 inference(resolution,[],[f789,f124])).
% 32.39/5.03 tff(f3887,plain,(
% 32.39/5.03 spl8_457 | ~spl8_9 | ~spl8_22),
% 32.39/5.03 inference(avatar_split_clause,[],[f3818,f272,f197,f3884])).
% 32.39/5.03 tff(f3884,plain,(
% 32.39/5.03 spl8_457 <=> $less(0,$sum($sum(x2,1),$uminus(sK2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_457])])).
% 32.39/5.03 tff(f3818,plain,(
% 32.39/5.03 $less(0,$sum($sum(x2,1),$uminus(sK2))) | (~spl8_9 | ~spl8_22)),
% 32.39/5.03 inference(resolution,[],[f764,f545])).
% 32.39/5.03 tff(f545,plain,(
% 32.39/5.03 ( ! [X0 : $int] : (~$less($uminus(sK2),X0) | $less(0,X0)) ) | ~spl8_9),
% 32.39/5.03 inference(resolution,[],[f199,f35])).
% 32.39/5.03 tff(f3882,plain,(
% 32.39/5.03 spl8_456 | ~spl8_19 | ~spl8_22),
% 32.39/5.03 inference(avatar_split_clause,[],[f3820,f272,f250,f3879])).
% 32.39/5.03 tff(f3879,plain,(
% 32.39/5.03 spl8_456 <=> $less(sK2,$sum($sum(x2,1),$uminus(x2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_456])])).
% 32.39/5.03 tff(f3820,plain,(
% 32.39/5.03 $less(sK2,$sum($sum(x2,1),$uminus(x2))) | (~spl8_19 | ~spl8_22)),
% 32.39/5.03 inference(resolution,[],[f764,f632])).
% 32.39/5.03 tff(f3877,plain,(
% 32.39/5.03 ~spl8_455 | spl8_2 | ~spl8_22),
% 32.39/5.03 inference(avatar_split_clause,[],[f3822,f272,f153,f3874])).
% 32.39/5.03 tff(f3874,plain,(
% 32.39/5.03 spl8_455 <=> $less($sum($sum(x2,1),sK2),0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_455])])).
% 32.39/5.03 tff(f3822,plain,(
% 32.39/5.03 ~$less($sum($sum(x2,1),sK2),0) | (spl8_2 | ~spl8_22)),
% 32.39/5.03 inference(resolution,[],[f764,f192])).
% 32.39/5.03 tff(f3872,plain,(
% 32.39/5.03 spl8_454 | ~spl8_10 | ~spl8_22),
% 32.39/5.03 inference(avatar_split_clause,[],[f3816,f272,f201,f3869])).
% 32.39/5.03 tff(f3869,plain,(
% 32.39/5.03 spl8_454 <=> $less(sK2,$sum($sum(x2,1),abs(0)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_454])])).
% 32.39/5.03 tff(f3816,plain,(
% 32.39/5.03 $less(sK2,$sum($sum(x2,1),abs(0))) | (~spl8_10 | ~spl8_22)),
% 32.39/5.03 inference(resolution,[],[f764,f579])).
% 32.39/5.03 tff(f579,plain,(
% 32.39/5.03 ( ! [X0 : $int] : (~$less(abs(0),X0) | $less(sK2,X0)) ) | ~spl8_10),
% 32.39/5.03 inference(resolution,[],[f202,f35])).
% 32.39/5.03 tff(f3867,plain,(
% 32.39/5.03 ~spl8_453 | spl8_4 | ~spl8_22),
% 32.39/5.03 inference(avatar_split_clause,[],[f3810,f272,f163,f3864])).
% 32.39/5.03 tff(f3864,plain,(
% 32.39/5.03 spl8_453 <=> $less($sum($sum(x2,1),$product(2,y2)),sK0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_453])])).
% 32.39/5.03 tff(f3810,plain,(
% 32.39/5.03 ~$less($sum($sum(x2,1),$product(2,y2)),sK0) | (spl8_4 | ~spl8_22)),
% 32.39/5.03 inference(resolution,[],[f764,f355])).
% 32.39/5.03 tff(f3862,plain,(
% 32.39/5.03 ~spl8_452 | spl8_6 | ~spl8_22),
% 32.39/5.03 inference(avatar_split_clause,[],[f3813,f272,f173,f3859])).
% 32.39/5.03 tff(f3859,plain,(
% 32.39/5.03 spl8_452 <=> $less($sum($sum(x2,1),x2),0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_452])])).
% 32.39/5.03 tff(f3813,plain,(
% 32.39/5.03 ~$less($sum($sum(x2,1),x2),0) | (spl8_6 | ~spl8_22)),
% 32.39/5.03 inference(resolution,[],[f764,f267])).
% 32.39/5.03 tff(f3857,plain,(
% 32.39/5.03 spl8_451 | ~spl8_17 | ~spl8_22),
% 32.39/5.03 inference(avatar_split_clause,[],[f3812,f272,f240,f3854])).
% 32.39/5.03 tff(f3854,plain,(
% 32.39/5.03 spl8_451 <=> $less(sK2,$sum($sum(x2,1),x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_451])])).
% 32.39/5.03 tff(f3812,plain,(
% 32.39/5.03 $less(sK2,$sum($sum(x2,1),x2)) | (~spl8_17 | ~spl8_22)),
% 32.39/5.03 inference(resolution,[],[f764,f323])).
% 32.39/5.03 tff(f3852,plain,(
% 32.39/5.03 spl8_450 | ~spl8_22 | ~spl8_23),
% 32.39/5.03 inference(avatar_split_clause,[],[f3811,f277,f272,f3849])).
% 32.39/5.03 tff(f3849,plain,(
% 32.39/5.03 spl8_450 <=> $less(0,$sum($sum(x2,1),x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_450])])).
% 32.39/5.03 tff(f3811,plain,(
% 32.39/5.03 $less(0,$sum($sum(x2,1),x2)) | (~spl8_22 | ~spl8_23)),
% 32.39/5.03 inference(resolution,[],[f764,f338])).
% 32.39/5.03 tff(f3847,plain,(
% 32.39/5.03 spl8_449 | ~spl8_13 | ~spl8_22),
% 32.39/5.03 inference(avatar_split_clause,[],[f3821,f272,f215,f3844])).
% 32.39/5.03 tff(f3844,plain,(
% 32.39/5.03 spl8_449 <=> $less(0,$sum($sum(x2,1),sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_449])])).
% 32.39/5.03 tff(f3821,plain,(
% 32.39/5.03 $less(0,$sum($sum(x2,1),sK2)) | (~spl8_13 | ~spl8_22)),
% 32.39/5.03 inference(resolution,[],[f764,f306])).
% 32.39/5.03 tff(f3842,plain,(
% 32.39/5.03 spl8_448 | ~spl8_20 | ~spl8_22),
% 32.39/5.03 inference(avatar_split_clause,[],[f3817,f272,f254,f3839])).
% 32.39/5.03 tff(f3839,plain,(
% 32.39/5.03 spl8_448 <=> $less(x2,$sum($sum(x2,1),abs(sK2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_448])])).
% 32.39/5.03 tff(f3817,plain,(
% 32.39/5.03 $less(x2,$sum($sum(x2,1),abs(sK2))) | (~spl8_20 | ~spl8_22)),
% 32.39/5.03 inference(resolution,[],[f764,f648])).
% 32.39/5.03 tff(f3837,plain,(
% 32.39/5.03 spl8_447 | ~spl8_22 | ~spl8_26),
% 32.39/5.03 inference(avatar_split_clause,[],[f3819,f291,f272,f3834])).
% 32.39/5.03 tff(f3834,plain,(
% 32.39/5.03 spl8_447 <=> $less(0,$sum($sum(x2,1),$uminus(x2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_447])])).
% 32.39/5.03 tff(f3819,plain,(
% 32.39/5.03 $less(0,$sum($sum(x2,1),$uminus(x2))) | (~spl8_22 | ~spl8_26)),
% 32.39/5.03 inference(resolution,[],[f764,f701])).
% 32.39/5.03 tff(f3832,plain,(
% 32.39/5.03 ~spl8_446 | spl8_3 | ~spl8_22),
% 32.39/5.03 inference(avatar_split_clause,[],[f3814,f272,f158,f3829])).
% 32.39/5.03 tff(f3829,plain,(
% 32.39/5.03 spl8_446 <=> $less($sum($sum(x2,1),x2),sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_446])])).
% 32.39/5.03 tff(f3814,plain,(
% 32.39/5.03 ~$less($sum($sum(x2,1),x2),sK2) | (spl8_3 | ~spl8_22)),
% 32.39/5.03 inference(resolution,[],[f764,f231])).
% 32.39/5.03 tff(f3827,plain,(
% 32.39/5.03 spl8_445 | ~spl8_22 | ~spl8_27),
% 32.39/5.03 inference(avatar_split_clause,[],[f3815,f295,f272,f3824])).
% 32.39/5.03 tff(f3824,plain,(
% 32.39/5.03 spl8_445 <=> $less(x2,$sum($sum(x2,1),abs(0)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_445])])).
% 32.39/5.03 tff(f3815,plain,(
% 32.39/5.03 $less(x2,$sum($sum(x2,1),abs(0))) | (~spl8_22 | ~spl8_27)),
% 32.39/5.03 inference(resolution,[],[f764,f719])).
% 32.39/5.03 tff(f719,plain,(
% 32.39/5.03 ( ! [X0 : $int] : (~$less(abs(0),X0) | $less(x2,X0)) ) | ~spl8_27),
% 32.39/5.03 inference(resolution,[],[f296,f35])).
% 32.39/5.03 tff(f3803,plain,(
% 32.39/5.03 spl8_444 | spl8_91),
% 32.39/5.03 inference(avatar_split_clause,[],[f3789,f754,f3800])).
% 32.39/5.03 tff(f3800,plain,(
% 32.39/5.03 spl8_444 <=> $less($sum(sK2,1),$sum(2,x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_444])])).
% 32.39/5.03 tff(f3789,plain,(
% 32.39/5.03 $less($sum(sK2,1),$sum(2,x2)) | spl8_91),
% 32.39/5.03 inference(evaluation,[],[f3784])).
% 32.39/5.03 tff(f3784,plain,(
% 32.39/5.03 $less($sum(sK2,1),$sum($sum(x2,1),1)) | spl8_91),
% 32.39/5.03 inference(resolution,[],[f756,f38])).
% 32.39/5.03 tff(f3798,plain,(
% 32.39/5.03 spl8_442 | ~spl8_443 | spl8_91),
% 32.39/5.03 inference(avatar_split_clause,[],[f3783,f754,f3795,f3791])).
% 32.39/5.03 tff(f3791,plain,(
% 32.39/5.03 spl8_442 <=> $less($sum(sK2,1),$uminus($sum(x2,1)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_442])])).
% 32.39/5.03 tff(f3795,plain,(
% 32.39/5.03 spl8_443 <=> $less($sum(x2,1),abs($sum(sK2,1)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_443])])).
% 32.39/5.03 tff(f3783,plain,(
% 32.39/5.03 ~$less($sum(x2,1),abs($sum(sK2,1))) | $less($sum(sK2,1),$uminus($sum(x2,1))) | spl8_91),
% 32.39/5.03 inference(resolution,[],[f756,f89])).
% 32.39/5.03 tff(f3780,plain,(
% 32.39/5.03 spl8_440 | spl8_441 | spl8_419),
% 32.39/5.03 inference(avatar_split_clause,[],[f3750,f3638,f3777,f3772])).
% 32.39/5.03 tff(f3777,plain,(
% 32.39/5.03 spl8_441 <=> sQ4_eqProxy(9,sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_441])])).
% 32.39/5.03 tff(f3750,plain,(
% 32.39/5.03 $less(9,sK2) | sQ4_eqProxy(9,sK2) | spl8_419),
% 32.39/5.03 inference(resolution,[],[f3640,f124])).
% 32.39/5.03 tff(f3775,plain,(
% 32.39/5.03 spl8_439 | spl8_440 | spl8_419),
% 32.39/5.03 inference(avatar_split_clause,[],[f3751,f3638,f3772,f3768])).
% 32.39/5.03 tff(f3768,plain,(
% 32.39/5.03 spl8_439 <=> sQ4_eqProxy(sK2,9)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_439])])).
% 32.39/5.03 tff(f3751,plain,(
% 32.39/5.03 $less(9,sK2) | sQ4_eqProxy(sK2,9) | spl8_419),
% 32.39/5.03 inference(resolution,[],[f3640,f124])).
% 32.39/5.03 tff(f3766,plain,(
% 32.39/5.03 spl8_438 | spl8_419),
% 32.39/5.03 inference(avatar_split_clause,[],[f3748,f3638,f3763])).
% 32.39/5.03 tff(f3763,plain,(
% 32.39/5.03 spl8_438 <=> $less(9,$sum(sK2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_438])])).
% 32.39/5.03 tff(f3748,plain,(
% 32.39/5.03 $less(9,$sum(sK2,1)) | spl8_419),
% 32.39/5.03 inference(resolution,[],[f3640,f38])).
% 32.39/5.03 tff(f3761,plain,(
% 32.39/5.03 ~spl8_436 | spl8_437 | spl8_419),
% 32.39/5.03 inference(avatar_split_clause,[],[f3747,f3638,f3758,f3754])).
% 32.39/5.03 tff(f3754,plain,(
% 32.39/5.03 spl8_436 <=> $less(sK2,abs(9))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_436])])).
% 32.39/5.03 tff(f3758,plain,(
% 32.39/5.03 spl8_437 <=> $less(9,$uminus(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_437])])).
% 32.39/5.03 tff(f3747,plain,(
% 32.39/5.03 ~$less(sK2,abs(9)) | $less(9,$uminus(sK2)) | spl8_419),
% 32.39/5.03 inference(resolution,[],[f3640,f89])).
% 32.39/5.03 tff(f3746,plain,(
% 32.39/5.03 spl8_435 | ~spl8_407),
% 32.39/5.03 inference(avatar_split_clause,[],[f3731,f3504,f3743])).
% 32.39/5.03 tff(f3743,plain,(
% 32.39/5.03 spl8_435 <=> $less(8,abs(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_435])])).
% 32.39/5.03 tff(f3504,plain,(
% 32.39/5.03 spl8_407 <=> $less(8,x2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_407])])).
% 32.39/5.03 tff(f3731,plain,(
% 32.39/5.03 $less(8,abs(x2)) | ~spl8_407),
% 32.39/5.03 inference(resolution,[],[f3506,f87])).
% 32.39/5.03 tff(f3506,plain,(
% 32.39/5.03 $less(8,x2) | ~spl8_407),
% 32.39/5.03 inference(avatar_component_clause,[],[f3504])).
% 32.39/5.03 tff(f3741,plain,(
% 32.39/5.03 ~spl8_434 | ~spl8_407),
% 32.39/5.03 inference(avatar_split_clause,[],[f3736,f3504,f3738])).
% 32.39/5.03 tff(f3736,plain,(
% 32.39/5.03 ~$less(x2,9) | ~spl8_407),
% 32.39/5.03 inference(evaluation,[],[f3732])).
% 32.39/5.03 tff(f3732,plain,(
% 32.39/5.03 ~$less(x2,$sum(8,1)) | ~spl8_407),
% 32.39/5.03 inference(resolution,[],[f3506,f46])).
% 32.39/5.03 tff(f3730,plain,(
% 32.39/5.03 ~spl8_433 | spl8_2 | ~spl8_15),
% 32.39/5.03 inference(avatar_split_clause,[],[f3665,f225,f153,f3727])).
% 32.39/5.03 tff(f3727,plain,(
% 32.39/5.03 spl8_433 <=> $less($sum($sum(sK2,1),sK2),0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_433])])).
% 32.39/5.03 tff(f3665,plain,(
% 32.39/5.03 ~$less($sum($sum(sK2,1),sK2),0) | (spl8_2 | ~spl8_15)),
% 32.39/5.03 inference(resolution,[],[f731,f192])).
% 32.39/5.03 tff(f3725,plain,(
% 32.39/5.03 spl8_432 | ~spl8_15 | ~spl8_23),
% 32.39/5.03 inference(avatar_split_clause,[],[f3654,f277,f225,f3722])).
% 32.39/5.03 tff(f3722,plain,(
% 32.39/5.03 spl8_432 <=> $less(0,$sum($sum(sK2,1),x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_432])])).
% 32.39/5.03 tff(f3654,plain,(
% 32.39/5.03 $less(0,$sum($sum(sK2,1),x2)) | (~spl8_15 | ~spl8_23)),
% 32.39/5.03 inference(resolution,[],[f731,f338])).
% 32.39/5.03 tff(f3720,plain,(
% 32.39/5.03 spl8_431 | ~spl8_10 | ~spl8_15),
% 32.39/5.03 inference(avatar_split_clause,[],[f3659,f225,f201,f3717])).
% 32.39/5.03 tff(f3717,plain,(
% 32.39/5.03 spl8_431 <=> $less(sK2,$sum($sum(sK2,1),abs(0)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_431])])).
% 32.39/5.03 tff(f3659,plain,(
% 32.39/5.03 $less(sK2,$sum($sum(sK2,1),abs(0))) | (~spl8_10 | ~spl8_15)),
% 32.39/5.03 inference(resolution,[],[f731,f579])).
% 32.39/5.03 tff(f3715,plain,(
% 32.39/5.03 spl8_430 | ~spl8_15 | ~spl8_26),
% 32.39/5.03 inference(avatar_split_clause,[],[f3662,f291,f225,f3712])).
% 32.39/5.03 tff(f3712,plain,(
% 32.39/5.03 spl8_430 <=> $less(0,$sum($sum(sK2,1),$uminus(x2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_430])])).
% 32.39/5.03 tff(f3662,plain,(
% 32.39/5.03 $less(0,$sum($sum(sK2,1),$uminus(x2))) | (~spl8_15 | ~spl8_26)),
% 32.39/5.03 inference(resolution,[],[f731,f701])).
% 32.39/5.03 tff(f3710,plain,(
% 32.39/5.03 ~spl8_429 | spl8_6 | ~spl8_15),
% 32.39/5.03 inference(avatar_split_clause,[],[f3656,f225,f173,f3707])).
% 32.39/5.03 tff(f3707,plain,(
% 32.39/5.03 spl8_429 <=> $less($sum($sum(sK2,1),x2),0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_429])])).
% 32.39/5.03 tff(f3656,plain,(
% 32.39/5.03 ~$less($sum($sum(sK2,1),x2),0) | (spl8_6 | ~spl8_15)),
% 32.39/5.03 inference(resolution,[],[f731,f267])).
% 32.39/5.03 tff(f3705,plain,(
% 32.39/5.03 spl8_428 | ~spl8_13 | ~spl8_15),
% 32.39/5.03 inference(avatar_split_clause,[],[f3664,f225,f215,f3702])).
% 32.39/5.03 tff(f3702,plain,(
% 32.39/5.03 spl8_428 <=> $less(0,$sum($sum(sK2,1),sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_428])])).
% 32.39/5.03 tff(f3664,plain,(
% 32.39/5.03 $less(0,$sum($sum(sK2,1),sK2)) | (~spl8_13 | ~spl8_15)),
% 32.39/5.03 inference(resolution,[],[f731,f306])).
% 32.39/5.03 tff(f3700,plain,(
% 32.39/5.03 ~spl8_427 | spl8_4 | ~spl8_15),
% 32.39/5.03 inference(avatar_split_clause,[],[f3653,f225,f163,f3697])).
% 32.39/5.03 tff(f3697,plain,(
% 32.39/5.03 spl8_427 <=> $less($sum($sum(sK2,1),$product(2,y2)),sK0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_427])])).
% 32.39/5.03 tff(f3653,plain,(
% 32.39/5.03 ~$less($sum($sum(sK2,1),$product(2,y2)),sK0) | (spl8_4 | ~spl8_15)),
% 32.39/5.03 inference(resolution,[],[f731,f355])).
% 32.39/5.03 tff(f3695,plain,(
% 32.39/5.03 spl8_426 | ~spl8_9 | ~spl8_15),
% 32.39/5.03 inference(avatar_split_clause,[],[f3661,f225,f197,f3692])).
% 32.39/5.03 tff(f3692,plain,(
% 32.39/5.03 spl8_426 <=> $less(0,$sum($sum(sK2,1),$uminus(sK2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_426])])).
% 32.39/5.03 tff(f3661,plain,(
% 32.39/5.03 $less(0,$sum($sum(sK2,1),$uminus(sK2))) | (~spl8_9 | ~spl8_15)),
% 32.39/5.03 inference(resolution,[],[f731,f545])).
% 32.39/5.03 tff(f3690,plain,(
% 32.39/5.03 ~spl8_425 | spl8_3 | ~spl8_15),
% 32.39/5.03 inference(avatar_split_clause,[],[f3657,f225,f158,f3687])).
% 32.39/5.03 tff(f3687,plain,(
% 32.39/5.03 spl8_425 <=> $less($sum($sum(sK2,1),x2),sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_425])])).
% 32.39/5.03 tff(f3657,plain,(
% 32.39/5.03 ~$less($sum($sum(sK2,1),x2),sK2) | (spl8_3 | ~spl8_15)),
% 32.39/5.03 inference(resolution,[],[f731,f231])).
% 32.39/5.03 tff(f3685,plain,(
% 32.39/5.03 spl8_424 | ~spl8_15 | ~spl8_27),
% 32.39/5.03 inference(avatar_split_clause,[],[f3658,f295,f225,f3682])).
% 32.39/5.03 tff(f3682,plain,(
% 32.39/5.03 spl8_424 <=> $less(x2,$sum($sum(sK2,1),abs(0)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_424])])).
% 32.39/5.03 tff(f3658,plain,(
% 32.39/5.03 $less(x2,$sum($sum(sK2,1),abs(0))) | (~spl8_15 | ~spl8_27)),
% 32.39/5.03 inference(resolution,[],[f731,f719])).
% 32.39/5.03 tff(f3680,plain,(
% 32.39/5.03 spl8_423 | ~spl8_15 | ~spl8_19),
% 32.39/5.03 inference(avatar_split_clause,[],[f3663,f250,f225,f3677])).
% 32.39/5.03 tff(f3677,plain,(
% 32.39/5.03 spl8_423 <=> $less(sK2,$sum($sum(sK2,1),$uminus(x2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_423])])).
% 32.39/5.03 tff(f3663,plain,(
% 32.39/5.03 $less(sK2,$sum($sum(sK2,1),$uminus(x2))) | (~spl8_15 | ~spl8_19)),
% 32.39/5.03 inference(resolution,[],[f731,f632])).
% 32.39/5.03 tff(f3675,plain,(
% 32.39/5.03 spl8_422 | ~spl8_15 | ~spl8_17),
% 32.39/5.03 inference(avatar_split_clause,[],[f3655,f240,f225,f3672])).
% 32.39/5.03 tff(f3672,plain,(
% 32.39/5.03 spl8_422 <=> $less(sK2,$sum($sum(sK2,1),x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_422])])).
% 32.39/5.03 tff(f3655,plain,(
% 32.39/5.03 $less(sK2,$sum($sum(sK2,1),x2)) | (~spl8_15 | ~spl8_17)),
% 32.39/5.03 inference(resolution,[],[f731,f323])).
% 32.39/5.03 tff(f3670,plain,(
% 32.39/5.03 spl8_421 | ~spl8_15 | ~spl8_20),
% 32.39/5.03 inference(avatar_split_clause,[],[f3660,f254,f225,f3667])).
% 32.39/5.03 tff(f3667,plain,(
% 32.39/5.03 spl8_421 <=> $less(x2,$sum($sum(sK2,1),abs(sK2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_421])])).
% 32.39/5.03 tff(f3660,plain,(
% 32.39/5.03 $less(x2,$sum($sum(sK2,1),abs(sK2))) | (~spl8_15 | ~spl8_20)),
% 32.39/5.03 inference(resolution,[],[f731,f648])).
% 32.39/5.03 tff(f3646,plain,(
% 32.39/5.03 spl8_420 | ~spl8_401),
% 32.39/5.03 inference(avatar_split_clause,[],[f3631,f3470,f3643])).
% 32.39/5.03 tff(f3643,plain,(
% 32.39/5.03 spl8_420 <=> $less(8,abs(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_420])])).
% 32.39/5.03 tff(f3470,plain,(
% 32.39/5.03 spl8_401 <=> $less(8,sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_401])])).
% 32.39/5.03 tff(f3631,plain,(
% 32.39/5.03 $less(8,abs(sK2)) | ~spl8_401),
% 32.39/5.03 inference(resolution,[],[f3472,f87])).
% 32.39/5.03 tff(f3472,plain,(
% 32.39/5.03 $less(8,sK2) | ~spl8_401),
% 32.39/5.03 inference(avatar_component_clause,[],[f3470])).
% 32.39/5.03 tff(f3641,plain,(
% 32.39/5.03 ~spl8_419 | ~spl8_401),
% 32.39/5.03 inference(avatar_split_clause,[],[f3636,f3470,f3638])).
% 32.39/5.03 tff(f3636,plain,(
% 32.39/5.03 ~$less(sK2,9) | ~spl8_401),
% 32.39/5.03 inference(evaluation,[],[f3632])).
% 32.39/5.03 tff(f3632,plain,(
% 32.39/5.03 ~$less(sK2,$sum(8,1)) | ~spl8_401),
% 32.39/5.03 inference(resolution,[],[f3472,f46])).
% 32.39/5.03 tff(f3629,plain,(
% 32.39/5.03 spl8_418 | spl8_81),
% 32.39/5.03 inference(avatar_split_clause,[],[f3611,f674,f3626])).
% 32.39/5.03 tff(f3626,plain,(
% 32.39/5.03 spl8_418 <=> $less(x2,$sum(abs(0),1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_418])])).
% 32.39/5.03 tff(f3611,plain,(
% 32.39/5.03 $less(x2,$sum(abs(0),1)) | spl8_81),
% 32.39/5.03 inference(resolution,[],[f675,f38])).
% 32.39/5.03 tff(f3624,plain,(
% 32.39/5.03 spl8_416 | ~spl8_417 | spl8_81),
% 32.39/5.03 inference(avatar_split_clause,[],[f3610,f674,f3621,f3617])).
% 32.39/5.03 tff(f3617,plain,(
% 32.39/5.03 spl8_416 <=> $less(x2,$uminus(abs(0)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_416])])).
% 32.39/5.03 tff(f3621,plain,(
% 32.39/5.03 spl8_417 <=> $less(abs(0),abs(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_417])])).
% 32.39/5.03 tff(f3610,plain,(
% 32.39/5.03 $less(x2,$uminus(abs(0))) | ~$less(abs(0),abs(x2)) | spl8_81),
% 32.39/5.03 inference(resolution,[],[f675,f89])).
% 32.39/5.03 tff(f3609,plain,(
% 32.39/5.03 ~spl8_81 | ~spl8_27),
% 32.39/5.03 inference(avatar_split_clause,[],[f3590,f295,f674])).
% 32.39/5.03 tff(f3590,plain,(
% 32.39/5.03 ~$less(abs(0),x2) | ~spl8_27),
% 32.39/5.03 inference(resolution,[],[f720,f34])).
% 32.39/5.03 tff(f3588,plain,(
% 32.39/5.03 spl8_415 | ~spl8_13 | ~spl8_27),
% 32.39/5.03 inference(avatar_split_clause,[],[f3568,f295,f215,f3585])).
% 32.39/5.03 tff(f3585,plain,(
% 32.39/5.03 spl8_415 <=> $less(x2,$sum(sK2,abs(0)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_415])])).
% 32.39/5.03 tff(f3568,plain,(
% 32.39/5.03 $less(x2,$sum(sK2,abs(0))) | (~spl8_13 | ~spl8_27)),
% 32.39/5.03 inference(resolution,[],[f719,f310])).
% 32.39/5.03 tff(f3583,plain,(
% 32.39/5.03 spl8_414 | ~spl8_26 | ~spl8_27),
% 32.39/5.03 inference(avatar_split_clause,[],[f3567,f295,f291,f3580])).
% 32.39/5.03 tff(f3580,plain,(
% 32.39/5.03 spl8_414 <=> $less(x2,$sum($uminus(x2),abs(0)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_414])])).
% 32.39/5.03 tff(f3567,plain,(
% 32.39/5.03 $less(x2,$sum($uminus(x2),abs(0))) | (~spl8_26 | ~spl8_27)),
% 32.39/5.03 inference(resolution,[],[f719,f705])).
% 32.39/5.03 tff(f3578,plain,(
% 32.39/5.03 spl8_413 | ~spl8_23 | ~spl8_27),
% 32.39/5.03 inference(avatar_split_clause,[],[f3565,f295,f277,f3575])).
% 32.39/5.03 tff(f3575,plain,(
% 32.39/5.03 spl8_413 <=> $less(x2,$sum(x2,abs(0)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_413])])).
% 32.39/5.03 tff(f3565,plain,(
% 32.39/5.03 $less(x2,$sum(x2,abs(0))) | (~spl8_23 | ~spl8_27)),
% 32.39/5.03 inference(resolution,[],[f719,f342])).
% 32.39/5.03 tff(f3573,plain,(
% 32.39/5.03 spl8_412 | ~spl8_9 | ~spl8_27),
% 32.39/5.03 inference(avatar_split_clause,[],[f3566,f295,f197,f3570])).
% 32.39/5.03 tff(f3570,plain,(
% 32.39/5.03 spl8_412 <=> $less(x2,$sum($uminus(sK2),abs(0)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_412])])).
% 32.39/5.03 tff(f3566,plain,(
% 32.39/5.03 $less(x2,$sum($uminus(sK2),abs(0))) | (~spl8_9 | ~spl8_27)),
% 32.39/5.03 inference(resolution,[],[f719,f548])).
% 32.39/5.03 tff(f3546,plain,(
% 32.39/5.03 ~spl8_356 | ~spl8_312 | spl8_4 | ~spl8_26),
% 32.39/5.03 inference(avatar_split_clause,[],[f3534,f291,f163,f2543,f2944])).
% 32.39/5.03 tff(f3534,plain,(
% 32.39/5.03 ~$less($product(2,y2),0) | ~$less($uminus(x2),sK0) | (spl8_4 | ~spl8_26)),
% 32.39/5.03 inference(resolution,[],[f702,f355])).
% 32.39/5.03 tff(f3526,plain,(
% 32.39/5.03 spl8_410 | ~spl8_411 | spl8_390),
% 32.39/5.03 inference(avatar_split_clause,[],[f3493,f3246,f3523,f3519])).
% 32.39/5.03 tff(f3519,plain,(
% 32.39/5.03 spl8_410 <=> $less(8,$uminus(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_410])])).
% 32.39/5.03 tff(f3523,plain,(
% 32.39/5.03 spl8_411 <=> $less(x2,abs(8))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_411])])).
% 32.39/5.03 tff(f3493,plain,(
% 32.39/5.03 $less(8,$uminus(x2)) | ~$less(x2,abs(8)) | spl8_390),
% 32.39/5.03 inference(resolution,[],[f3248,f89])).
% 32.39/5.03 tff(f3517,plain,(
% 32.39/5.03 spl8_409 | spl8_390),
% 32.39/5.03 inference(avatar_split_clause,[],[f3494,f3246,f3514])).
% 32.39/5.03 tff(f3514,plain,(
% 32.39/5.03 spl8_409 <=> $less(8,$sum(x2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_409])])).
% 32.39/5.03 tff(f3494,plain,(
% 32.39/5.03 $less(8,$sum(x2,1)) | spl8_390),
% 32.39/5.03 inference(resolution,[],[f3248,f38])).
% 32.39/5.03 tff(f3512,plain,(
% 32.39/5.03 spl8_407 | spl8_408 | spl8_390),
% 32.39/5.03 inference(avatar_split_clause,[],[f3496,f3246,f3509,f3504])).
% 32.39/5.03 tff(f3509,plain,(
% 32.39/5.03 spl8_408 <=> sQ4_eqProxy(8,x2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_408])])).
% 32.39/5.03 tff(f3496,plain,(
% 32.39/5.03 sQ4_eqProxy(8,x2) | $less(8,x2) | spl8_390),
% 32.39/5.03 inference(resolution,[],[f3248,f124])).
% 32.39/5.03 tff(f3507,plain,(
% 32.39/5.03 spl8_406 | spl8_407 | spl8_390),
% 32.39/5.03 inference(avatar_split_clause,[],[f3497,f3246,f3504,f3500])).
% 32.39/5.03 tff(f3500,plain,(
% 32.39/5.03 spl8_406 <=> sQ4_eqProxy(x2,8)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_406])])).
% 32.39/5.03 tff(f3497,plain,(
% 32.39/5.03 sQ4_eqProxy(x2,8) | $less(8,x2) | spl8_390),
% 32.39/5.03 inference(resolution,[],[f3248,f124])).
% 32.39/5.03 tff(f3492,plain,(
% 32.39/5.03 spl8_401 | spl8_405 | spl8_387),
% 32.39/5.03 inference(avatar_split_clause,[],[f3462,f3225,f3489,f3470])).
% 32.39/5.03 tff(f3489,plain,(
% 32.39/5.03 spl8_405 <=> sQ4_eqProxy(8,sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_405])])).
% 32.39/5.03 tff(f3462,plain,(
% 32.39/5.03 $less(8,sK2) | sQ4_eqProxy(8,sK2) | spl8_387),
% 32.39/5.03 inference(resolution,[],[f3227,f124])).
% 32.39/5.03 tff(f3487,plain,(
% 32.39/5.03 spl8_404 | spl8_387),
% 32.39/5.03 inference(avatar_split_clause,[],[f3460,f3225,f3484])).
% 32.39/5.03 tff(f3484,plain,(
% 32.39/5.03 spl8_404 <=> $less(8,$sum(sK2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_404])])).
% 32.39/5.03 tff(f3460,plain,(
% 32.39/5.03 $less(8,$sum(sK2,1)) | spl8_387),
% 32.39/5.03 inference(resolution,[],[f3227,f38])).
% 32.39/5.03 tff(f3482,plain,(
% 32.39/5.03 ~spl8_402 | spl8_403 | spl8_387),
% 32.39/5.03 inference(avatar_split_clause,[],[f3459,f3225,f3479,f3475])).
% 32.39/5.03 tff(f3475,plain,(
% 32.39/5.03 spl8_402 <=> $less(sK2,abs(8))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_402])])).
% 32.39/5.03 tff(f3479,plain,(
% 32.39/5.03 spl8_403 <=> $less(8,$uminus(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_403])])).
% 32.39/5.03 tff(f3459,plain,(
% 32.39/5.03 $less(8,$uminus(sK2)) | ~$less(sK2,abs(8)) | spl8_387),
% 32.39/5.03 inference(resolution,[],[f3227,f89])).
% 32.39/5.03 tff(f3473,plain,(
% 32.39/5.03 spl8_400 | spl8_401 | spl8_387),
% 32.39/5.03 inference(avatar_split_clause,[],[f3463,f3225,f3470,f3466])).
% 32.39/5.03 tff(f3466,plain,(
% 32.39/5.03 spl8_400 <=> sQ4_eqProxy(sK2,8)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_400])])).
% 32.39/5.03 tff(f3463,plain,(
% 32.39/5.03 sQ4_eqProxy(sK2,8) | $less(8,sK2) | spl8_387),
% 32.39/5.03 inference(resolution,[],[f3227,f124])).
% 32.39/5.03 tff(f3458,plain,(
% 32.39/5.03 spl8_399 | ~spl8_13 | ~spl8_26),
% 32.39/5.03 inference(avatar_split_clause,[],[f3434,f291,f215,f3455])).
% 32.39/5.03 tff(f3455,plain,(
% 32.39/5.03 spl8_399 <=> $less(0,$sum(sK2,$uminus(x2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_399])])).
% 32.39/5.03 tff(f3434,plain,(
% 32.39/5.03 $less(0,$sum(sK2,$uminus(x2))) | (~spl8_13 | ~spl8_26)),
% 32.39/5.03 inference(resolution,[],[f701,f310])).
% 32.39/5.03 tff(f3453,plain,(
% 32.39/5.03 spl8_398 | ~spl8_9 | ~spl8_26),
% 32.39/5.03 inference(avatar_split_clause,[],[f3432,f291,f197,f3450])).
% 32.39/5.03 tff(f3450,plain,(
% 32.39/5.03 spl8_398 <=> $less(0,$sum($uminus(sK2),$uminus(x2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_398])])).
% 32.39/5.03 tff(f3432,plain,(
% 32.39/5.03 $less(0,$sum($uminus(sK2),$uminus(x2))) | (~spl8_9 | ~spl8_26)),
% 32.39/5.03 inference(resolution,[],[f701,f548])).
% 32.39/5.03 tff(f3448,plain,(
% 32.39/5.03 spl8_397 | ~spl8_23 | ~spl8_26),
% 32.39/5.03 inference(avatar_split_clause,[],[f3431,f291,f277,f3445])).
% 32.39/5.03 tff(f3445,plain,(
% 32.39/5.03 spl8_397 <=> $less(0,$sum(x2,$uminus(x2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_397])])).
% 32.39/5.03 tff(f3431,plain,(
% 32.39/5.03 $less(0,$sum(x2,$uminus(x2))) | (~spl8_23 | ~spl8_26)),
% 32.39/5.03 inference(resolution,[],[f701,f342])).
% 32.39/5.03 tff(f3443,plain,(
% 32.39/5.03 spl8_396 | ~spl8_26),
% 32.39/5.03 inference(avatar_split_clause,[],[f3433,f291,f3440])).
% 32.39/5.03 tff(f3440,plain,(
% 32.39/5.03 spl8_396 <=> $less(0,$sum($uminus(x2),$uminus(x2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_396])])).
% 32.39/5.03 tff(f3433,plain,(
% 32.39/5.03 $less(0,$sum($uminus(x2),$uminus(x2))) | ~spl8_26),
% 32.39/5.03 inference(resolution,[],[f701,f705])).
% 32.39/5.03 tff(f3398,plain,(
% 32.39/5.03 ~spl8_395 | spl8_340),
% 32.39/5.03 inference(avatar_split_clause,[],[f3392,f2788,f3395])).
% 32.39/5.03 tff(f3395,plain,(
% 32.39/5.03 spl8_395 <=> sQ4_eqProxy(sK0,sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_395])])).
% 32.39/5.03 tff(f3392,plain,(
% 32.39/5.03 ~sQ4_eqProxy(sK0,sK2) | spl8_340),
% 32.39/5.03 inference(resolution,[],[f2790,f142])).
% 32.39/5.03 tff(f3389,plain,(
% 32.39/5.03 spl8_393 | ~spl8_136 | ~spl8_5 | ~spl8_24),
% 32.39/5.03 inference(avatar_split_clause,[],[f3388,f281,f168,f1128,f3348])).
% 32.39/5.03 tff(f3388,plain,(
% 32.39/5.03 sQ4_eqProxy(x2,$sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2)))) | ~sQ4_eqProxy(0,sK0) | (~spl8_5 | ~spl8_24)),
% 32.39/5.03 inference(resolution,[],[f3160,f451])).
% 32.39/5.03 tff(f3374,plain,(
% 32.39/5.03 spl8_394 | ~spl8_24 | ~spl8_25),
% 32.39/5.03 inference(avatar_split_clause,[],[f3362,f286,f281,f3370])).
% 32.39/5.03 tff(f3370,plain,(
% 32.39/5.03 spl8_394 <=> sQ4_eqProxy(abs(x2),0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_394])])).
% 32.39/5.03 tff(f3362,plain,(
% 32.39/5.03 sQ4_eqProxy(abs(x2),0) | (~spl8_24 | ~spl8_25)),
% 32.39/5.03 inference(resolution,[],[f3159,f288])).
% 32.39/5.03 tff(f3373,plain,(
% 32.39/5.03 spl8_394 | spl8_6 | ~spl8_24),
% 32.39/5.03 inference(avatar_split_clause,[],[f3368,f281,f173,f3370])).
% 32.39/5.03 tff(f3368,plain,(
% 32.39/5.03 sQ4_eqProxy(abs(x2),0) | (spl8_6 | ~spl8_24)),
% 32.39/5.03 inference(subsumption_resolution,[],[f3365,f175])).
% 32.39/5.03 tff(f3365,plain,(
% 32.39/5.03 sQ4_eqProxy(abs(x2),0) | $less(x2,0) | ~spl8_24),
% 32.39/5.03 inference(resolution,[],[f3159,f127])).
% 32.39/5.03 tff(f3351,plain,(
% 32.39/5.03 ~spl8_340 | spl8_393 | ~spl8_5 | ~spl8_18),
% 32.39/5.03 inference(avatar_split_clause,[],[f3346,f245,f168,f3348,f2788])).
% 32.39/5.03 tff(f3346,plain,(
% 32.39/5.03 sQ4_eqProxy(x2,$sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2)))) | ~sQ4_eqProxy(sK2,sK0) | (~spl8_5 | ~spl8_18)),
% 32.39/5.03 inference(resolution,[],[f3156,f451])).
% 32.39/5.03 tff(f3156,plain,(
% 32.39/5.03 ( ! [X0 : $int] : (~sQ4_eqProxy(sK2,X0) | sQ4_eqProxy(x2,X0)) ) | ~spl8_18),
% 32.39/5.03 inference(resolution,[],[f247,f143])).
% 32.39/5.03 tff(f3333,plain,(
% 32.39/5.03 spl8_392 | spl8_6 | ~spl8_18),
% 32.39/5.03 inference(avatar_split_clause,[],[f3332,f245,f173,f3328])).
% 32.39/5.03 tff(f3328,plain,(
% 32.39/5.03 spl8_392 <=> sQ4_eqProxy(abs(x2),sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_392])])).
% 32.39/5.03 tff(f3332,plain,(
% 32.39/5.03 sQ4_eqProxy(abs(x2),sK2) | (spl8_6 | ~spl8_18)),
% 32.39/5.03 inference(subsumption_resolution,[],[f3324,f175])).
% 32.39/5.03 tff(f3324,plain,(
% 32.39/5.03 sQ4_eqProxy(abs(x2),sK2) | $less(x2,0) | ~spl8_18),
% 32.39/5.03 inference(resolution,[],[f3155,f127])).
% 32.39/5.03 tff(f3331,plain,(
% 32.39/5.03 spl8_392 | ~spl8_18 | ~spl8_25),
% 32.39/5.03 inference(avatar_split_clause,[],[f3321,f286,f245,f3328])).
% 32.39/5.03 tff(f3321,plain,(
% 32.39/5.03 sQ4_eqProxy(abs(x2),sK2) | (~spl8_18 | ~spl8_25)),
% 32.39/5.03 inference(resolution,[],[f3155,f288])).
% 32.39/5.03 tff(f3310,plain,(
% 32.39/5.03 ~spl8_16 | ~spl8_79 | spl8_379),
% 32.39/5.03 inference(avatar_contradiction_clause,[],[f3309])).
% 32.39/5.03 tff(f3309,plain,(
% 32.39/5.03 $false | (~spl8_16 | ~spl8_79 | spl8_379)),
% 32.39/5.03 inference(subsumption_resolution,[],[f3295,f3137])).
% 32.39/5.03 tff(f3137,plain,(
% 32.39/5.03 ~sQ4_eqProxy(sK2,abs(x2)) | spl8_379),
% 32.39/5.03 inference(avatar_component_clause,[],[f3135])).
% 32.39/5.03 tff(f3135,plain,(
% 32.39/5.03 spl8_379 <=> sQ4_eqProxy(sK2,abs(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_379])])).
% 32.39/5.03 tff(f3295,plain,(
% 32.39/5.03 sQ4_eqProxy(sK2,abs(x2)) | (~spl8_16 | ~spl8_79)),
% 32.39/5.03 inference(resolution,[],[f3151,f659])).
% 32.39/5.03 tff(f659,plain,(
% 32.39/5.03 sQ4_eqProxy(x2,abs(x2)) | ~spl8_79),
% 32.39/5.03 inference(avatar_component_clause,[],[f657])).
% 32.39/5.03 tff(f657,plain,(
% 32.39/5.03 spl8_79 <=> sQ4_eqProxy(x2,abs(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_79])])).
% 32.39/5.03 tff(f3151,plain,(
% 32.39/5.03 ( ! [X0 : $int] : (~sQ4_eqProxy(x2,X0) | sQ4_eqProxy(sK2,X0)) ) | ~spl8_16),
% 32.39/5.03 inference(resolution,[],[f238,f143])).
% 32.39/5.03 tff(f238,plain,(
% 32.39/5.03 sQ4_eqProxy(sK2,x2) | ~spl8_16),
% 32.39/5.03 inference(avatar_component_clause,[],[f236])).
% 32.39/5.03 tff(f236,plain,(
% 32.39/5.03 spl8_16 <=> sQ4_eqProxy(sK2,x2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_16])])).
% 32.39/5.03 tff(f3279,plain,(
% 32.39/5.03 spl8_391 | ~spl8_28 | ~spl8_79),
% 32.39/5.03 inference(avatar_split_clause,[],[f3261,f657,f300,f3276])).
% 32.39/5.03 tff(f3276,plain,(
% 32.39/5.03 spl8_391 <=> sQ4_eqProxy(0,abs(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_391])])).
% 32.39/5.03 tff(f3261,plain,(
% 32.39/5.03 sQ4_eqProxy(0,abs(x2)) | (~spl8_28 | ~spl8_79)),
% 32.39/5.03 inference(resolution,[],[f3145,f659])).
% 32.39/5.03 tff(f3145,plain,(
% 32.39/5.03 ( ! [X0 : $int] : (~sQ4_eqProxy(x2,X0) | sQ4_eqProxy(0,X0)) ) | ~spl8_28),
% 32.39/5.03 inference(resolution,[],[f302,f143])).
% 32.39/5.03 tff(f3257,plain,(
% 32.39/5.03 spl8_85 | ~spl8_80),
% 32.39/5.03 inference(avatar_split_clause,[],[f3256,f670,f694])).
% 32.39/5.03 tff(f694,plain,(
% 32.39/5.03 spl8_85 <=> sQ4_eqProxy(x2,abs(0))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_85])])).
% 32.39/5.03 tff(f670,plain,(
% 32.39/5.03 spl8_80 <=> sQ4_eqProxy(abs(0),x2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_80])])).
% 32.39/5.03 tff(f3256,plain,(
% 32.39/5.03 sQ4_eqProxy(x2,abs(0)) | ~spl8_80),
% 32.39/5.03 inference(resolution,[],[f672,f142])).
% 32.39/5.03 tff(f672,plain,(
% 32.39/5.03 sQ4_eqProxy(abs(0),x2) | ~spl8_80),
% 32.39/5.03 inference(avatar_component_clause,[],[f670])).
% 32.39/5.03 tff(f3249,plain,(
% 32.39/5.03 ~spl8_390 | ~spl8_382),
% 32.39/5.03 inference(avatar_split_clause,[],[f3239,f3190,f3246])).
% 32.39/5.03 tff(f3190,plain,(
% 32.39/5.03 spl8_382 <=> $less(7,x2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_382])])).
% 32.39/5.03 tff(f3239,plain,(
% 32.39/5.03 ~$less(x2,8) | ~spl8_382),
% 32.39/5.03 inference(evaluation,[],[f3235])).
% 32.39/5.03 tff(f3235,plain,(
% 32.39/5.03 ~$less(x2,$sum(7,1)) | ~spl8_382),
% 32.39/5.03 inference(resolution,[],[f3192,f46])).
% 32.39/5.03 tff(f3192,plain,(
% 32.39/5.03 $less(7,x2) | ~spl8_382),
% 32.39/5.03 inference(avatar_component_clause,[],[f3190])).
% 32.39/5.03 tff(f3244,plain,(
% 32.39/5.03 spl8_389 | ~spl8_382),
% 32.39/5.03 inference(avatar_split_clause,[],[f3234,f3190,f3241])).
% 32.39/5.03 tff(f3241,plain,(
% 32.39/5.03 spl8_389 <=> $less(7,abs(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_389])])).
% 32.39/5.03 tff(f3234,plain,(
% 32.39/5.03 $less(7,abs(x2)) | ~spl8_382),
% 32.39/5.03 inference(resolution,[],[f3192,f87])).
% 32.39/5.03 tff(f3233,plain,(
% 32.39/5.03 spl8_388 | ~spl8_369),
% 32.39/5.03 inference(avatar_split_clause,[],[f3218,f3068,f3230])).
% 32.39/5.03 tff(f3230,plain,(
% 32.39/5.03 spl8_388 <=> $less(7,abs(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_388])])).
% 32.39/5.03 tff(f3068,plain,(
% 32.39/5.03 spl8_369 <=> $less(7,sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_369])])).
% 32.39/5.03 tff(f3218,plain,(
% 32.39/5.03 $less(7,abs(sK2)) | ~spl8_369),
% 32.39/5.03 inference(resolution,[],[f3070,f87])).
% 32.39/5.03 tff(f3070,plain,(
% 32.39/5.03 $less(7,sK2) | ~spl8_369),
% 32.39/5.03 inference(avatar_component_clause,[],[f3068])).
% 32.39/5.03 tff(f3228,plain,(
% 32.39/5.03 ~spl8_387 | ~spl8_369),
% 32.39/5.03 inference(avatar_split_clause,[],[f3223,f3068,f3225])).
% 32.39/5.03 tff(f3223,plain,(
% 32.39/5.03 ~$less(sK2,8) | ~spl8_369),
% 32.39/5.03 inference(evaluation,[],[f3219])).
% 32.39/5.03 tff(f3219,plain,(
% 32.39/5.03 ~$less(sK2,$sum(7,1)) | ~spl8_369),
% 32.39/5.03 inference(resolution,[],[f3070,f46])).
% 32.39/5.03 tff(f3216,plain,(
% 32.39/5.03 spl8_76 | ~spl8_71),
% 32.39/5.03 inference(avatar_split_clause,[],[f3215,f601,f624])).
% 32.39/5.03 tff(f624,plain,(
% 32.39/5.03 spl8_76 <=> sQ4_eqProxy(x2,abs(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_76])])).
% 32.39/5.03 tff(f601,plain,(
% 32.39/5.03 spl8_71 <=> sQ4_eqProxy(abs(sK2),x2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_71])])).
% 32.39/5.03 tff(f3215,plain,(
% 32.39/5.03 sQ4_eqProxy(x2,abs(sK2)) | ~spl8_71),
% 32.39/5.03 inference(resolution,[],[f603,f142])).
% 32.39/5.03 tff(f603,plain,(
% 32.39/5.03 sQ4_eqProxy(abs(sK2),x2) | ~spl8_71),
% 32.39/5.03 inference(avatar_component_clause,[],[f601])).
% 32.39/5.03 tff(f3212,plain,(
% 32.39/5.03 spl8_385 | ~spl8_386 | spl8_367),
% 32.39/5.03 inference(avatar_split_clause,[],[f3179,f3052,f3209,f3205])).
% 32.39/5.03 tff(f3205,plain,(
% 32.39/5.03 spl8_385 <=> $less(7,$uminus(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_385])])).
% 32.39/5.03 tff(f3209,plain,(
% 32.39/5.03 spl8_386 <=> $less(x2,abs(7))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_386])])).
% 32.39/5.03 tff(f3179,plain,(
% 32.39/5.03 $less(7,$uminus(x2)) | ~$less(x2,abs(7)) | spl8_367),
% 32.39/5.03 inference(resolution,[],[f3054,f89])).
% 32.39/5.03 tff(f3203,plain,(
% 32.39/5.03 spl8_384 | spl8_367),
% 32.39/5.03 inference(avatar_split_clause,[],[f3180,f3052,f3200])).
% 32.39/5.03 tff(f3200,plain,(
% 32.39/5.03 spl8_384 <=> $less(7,$sum(x2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_384])])).
% 32.39/5.03 tff(f3180,plain,(
% 32.39/5.03 $less(7,$sum(x2,1)) | spl8_367),
% 32.39/5.03 inference(resolution,[],[f3054,f38])).
% 32.39/5.03 tff(f3198,plain,(
% 32.39/5.03 spl8_383 | spl8_382 | spl8_367),
% 32.39/5.03 inference(avatar_split_clause,[],[f3182,f3052,f3190,f3195])).
% 32.39/5.03 tff(f3195,plain,(
% 32.39/5.03 spl8_383 <=> sQ4_eqProxy(7,x2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_383])])).
% 32.39/5.03 tff(f3182,plain,(
% 32.39/5.03 $less(7,x2) | sQ4_eqProxy(7,x2) | spl8_367),
% 32.39/5.03 inference(resolution,[],[f3054,f124])).
% 32.39/5.03 tff(f3193,plain,(
% 32.39/5.03 spl8_381 | spl8_382 | spl8_367),
% 32.39/5.03 inference(avatar_split_clause,[],[f3183,f3052,f3190,f3186])).
% 32.39/5.03 tff(f3186,plain,(
% 32.39/5.03 spl8_381 <=> sQ4_eqProxy(x2,7)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_381])])).
% 32.39/5.03 tff(f3183,plain,(
% 32.39/5.03 $less(7,x2) | sQ4_eqProxy(x2,7) | spl8_367),
% 32.39/5.03 inference(resolution,[],[f3054,f124])).
% 32.39/5.03 tff(f3178,plain,(
% 32.39/5.03 spl8_80 | ~spl8_28),
% 32.39/5.03 inference(avatar_split_clause,[],[f3175,f300,f670])).
% 32.39/5.03 tff(f3175,plain,(
% 32.39/5.03 sQ4_eqProxy(abs(0),x2) | ~spl8_28),
% 32.39/5.03 inference(evaluation,[],[f3172])).
% 32.39/5.03 tff(f3172,plain,(
% 32.39/5.03 $less(0,0) | sQ4_eqProxy(abs(0),x2) | ~spl8_28),
% 32.39/5.03 inference(resolution,[],[f3144,f127])).
% 32.39/5.03 tff(f3177,plain,(
% 32.39/5.03 spl8_71 | ~spl8_11 | ~spl8_12 | ~spl8_28),
% 32.39/5.03 inference(avatar_split_clause,[],[f3176,f300,f211,f206,f601])).
% 32.39/5.03 tff(f3176,plain,(
% 32.39/5.03 sQ4_eqProxy(abs(sK2),x2) | (~spl8_11 | ~spl8_12 | ~spl8_28)),
% 32.39/5.03 inference(subsumption_resolution,[],[f3173,f213])).
% 32.39/5.03 tff(f3173,plain,(
% 32.39/5.03 sQ4_eqProxy(abs(sK2),x2) | ~sQ4_eqProxy(sK2,0) | (~spl8_11 | ~spl8_28)),
% 32.39/5.03 inference(resolution,[],[f3144,f585])).
% 32.39/5.03 tff(f3153,plain,(
% 32.39/5.03 spl8_18 | ~spl8_16),
% 32.39/5.03 inference(avatar_split_clause,[],[f3152,f236,f245])).
% 32.39/5.03 tff(f3152,plain,(
% 32.39/5.03 sQ4_eqProxy(x2,sK2) | ~spl8_16),
% 32.39/5.03 inference(resolution,[],[f238,f142])).
% 32.39/5.03 tff(f3148,plain,(
% 32.39/5.03 spl8_24 | ~spl8_28),
% 32.39/5.03 inference(avatar_split_clause,[],[f3146,f300,f281])).
% 32.39/5.03 tff(f3146,plain,(
% 32.39/5.03 sQ4_eqProxy(x2,0) | ~spl8_28),
% 32.39/5.03 inference(resolution,[],[f302,f142])).
% 32.39/5.03 tff(f3147,plain,(
% 32.39/5.03 spl8_16 | ~spl8_12 | ~spl8_28),
% 32.39/5.03 inference(avatar_split_clause,[],[f3143,f300,f211,f236])).
% 32.39/5.03 tff(f3143,plain,(
% 32.39/5.03 sQ4_eqProxy(sK2,x2) | (~spl8_12 | ~spl8_28)),
% 32.39/5.03 inference(resolution,[],[f302,f2648])).
% 32.39/5.03 tff(f3142,plain,(
% 32.39/5.03 spl8_380 | spl8_28 | ~spl8_25),
% 32.39/5.03 inference(avatar_split_clause,[],[f3123,f286,f300,f3140])).
% 32.39/5.03 tff(f3140,plain,(
% 32.39/5.03 spl8_380 <=> ! [X0 : $int,X1 : $int] : (sQ4_eqProxy(X0,X1) | ~sQ4_eqProxy($product(abs(x2),X0),$product(abs(x2),X1)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_380])])).
% 32.39/5.03 tff(f3123,plain,(
% 32.39/5.03 ( ! [X0 : $int,X1 : $int] : (sQ4_eqProxy(0,x2) | sQ4_eqProxy(X0,X1) | ~sQ4_eqProxy($product(abs(x2),X0),$product(abs(x2),X1))) ) | ~spl8_25),
% 32.39/5.03 inference(resolution,[],[f653,f131])).
% 32.39/5.03 tff(f3138,plain,(
% 32.39/5.03 spl8_71 | ~spl8_379 | ~spl8_11 | ~spl8_25),
% 32.39/5.03 inference(avatar_split_clause,[],[f3126,f286,f206,f3135,f601])).
% 32.39/5.03 tff(f3126,plain,(
% 32.39/5.03 ~sQ4_eqProxy(sK2,abs(x2)) | sQ4_eqProxy(abs(sK2),x2) | (~spl8_11 | ~spl8_25)),
% 32.39/5.03 inference(resolution,[],[f653,f585])).
% 32.39/5.03 tff(f3133,plain,(
% 32.39/5.03 spl8_378 | ~spl8_25),
% 32.39/5.03 inference(avatar_split_clause,[],[f3128,f286,f3130])).
% 32.39/5.03 tff(f3130,plain,(
% 32.39/5.03 spl8_378 <=> sQ4_eqProxy(abs(abs(x2)),x2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_378])])).
% 32.39/5.03 tff(f3128,plain,(
% 32.39/5.03 sQ4_eqProxy(abs(abs(x2)),x2) | ~spl8_25),
% 32.39/5.03 inference(subsumption_resolution,[],[f3125,f85])).
% 32.39/5.03 tff(f85,plain,(
% 32.39/5.03 ( ! [X0 : $int] : (~$less(abs(X0),0)) )),
% 32.39/5.03 inference(cnf_transformation,[],[f52])).
% 32.39/5.03 tff(f52,plain,(
% 32.39/5.03 ! [X0 : $int] : ~$less(abs(X0),0)),
% 32.39/5.03 inference(rectify,[],[f24])).
% 32.39/5.03 tff(f24,plain,(
% 32.39/5.03 ! [X1 : $int] : ~$less(abs(X1),0)),
% 32.39/5.03 inference(theory_normalization,[],[f16])).
% 32.39/5.03 tff(f16,axiom,(
% 32.39/5.03 ! [X1 : $int] : $lesseq(0,abs(X1))),
% 32.39/5.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
% 32.39/5.03 tff(f3125,plain,(
% 32.39/5.03 $less(abs(x2),0) | sQ4_eqProxy(abs(abs(x2)),x2) | ~spl8_25),
% 32.39/5.03 inference(resolution,[],[f653,f127])).
% 32.39/5.03 tff(f3114,plain,(
% 32.39/5.03 spl8_376 | ~spl8_377 | spl8_72),
% 32.39/5.03 inference(avatar_split_clause,[],[f3095,f605,f3111,f3107])).
% 32.39/5.03 tff(f3107,plain,(
% 32.39/5.03 spl8_376 <=> $less(x2,$uminus(abs(sK2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_376])])).
% 32.39/5.03 tff(f3111,plain,(
% 32.39/5.03 spl8_377 <=> $less(abs(sK2),abs(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_377])])).
% 32.39/5.03 tff(f3095,plain,(
% 32.39/5.03 $less(x2,$uminus(abs(sK2))) | ~$less(abs(sK2),abs(x2)) | spl8_72),
% 32.39/5.03 inference(resolution,[],[f606,f89])).
% 32.39/5.03 tff(f3105,plain,(
% 32.39/5.03 spl8_375 | spl8_72),
% 32.39/5.03 inference(avatar_split_clause,[],[f3096,f605,f3102])).
% 32.39/5.03 tff(f3102,plain,(
% 32.39/5.03 spl8_375 <=> $less(x2,$sum(abs(sK2),1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_375])])).
% 32.39/5.03 tff(f3096,plain,(
% 32.39/5.03 $less(x2,$sum(abs(sK2),1)) | spl8_72),
% 32.39/5.03 inference(resolution,[],[f606,f38])).
% 32.39/5.03 tff(f3094,plain,(
% 32.39/5.03 spl8_374 | spl8_358),
% 32.39/5.03 inference(avatar_split_clause,[],[f3062,f2961,f3091])).
% 32.39/5.03 tff(f3091,plain,(
% 32.39/5.03 spl8_374 <=> $less(7,$sum(sK2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_374])])).
% 32.39/5.03 tff(f3062,plain,(
% 32.39/5.03 $less(7,$sum(sK2,1)) | spl8_358),
% 32.39/5.03 inference(resolution,[],[f2963,f38])).
% 32.39/5.03 tff(f3089,plain,(
% 32.39/5.03 spl8_373 | spl8_369 | spl8_358),
% 32.39/5.03 inference(avatar_split_clause,[],[f3064,f2961,f3068,f3086])).
% 32.39/5.03 tff(f3086,plain,(
% 32.39/5.03 spl8_373 <=> sQ4_eqProxy(7,sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_373])])).
% 32.39/5.03 tff(f3064,plain,(
% 32.39/5.03 $less(7,sK2) | sQ4_eqProxy(7,sK2) | spl8_358),
% 32.39/5.03 inference(resolution,[],[f2963,f124])).
% 32.39/5.03 tff(f3084,plain,(
% 32.39/5.03 ~spl8_371 | spl8_372 | spl8_358),
% 32.39/5.03 inference(avatar_split_clause,[],[f3061,f2961,f3081,f3077])).
% 32.39/5.03 tff(f3077,plain,(
% 32.39/5.03 spl8_371 <=> $less(sK2,abs(7))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_371])])).
% 32.39/5.03 tff(f3081,plain,(
% 32.39/5.03 spl8_372 <=> $less(7,$uminus(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_372])])).
% 32.39/5.03 tff(f3061,plain,(
% 32.39/5.03 ~$less(sK2,abs(7)) | $less(7,$uminus(sK2)) | spl8_358),
% 32.39/5.03 inference(resolution,[],[f2963,f89])).
% 32.39/5.03 tff(f3075,plain,(
% 32.39/5.03 spl8_369 | spl8_370 | spl8_358),
% 32.39/5.03 inference(avatar_split_clause,[],[f3065,f2961,f3072,f3068])).
% 32.39/5.03 tff(f3072,plain,(
% 32.39/5.03 spl8_370 <=> sQ4_eqProxy(sK2,7)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_370])])).
% 32.39/5.03 tff(f3065,plain,(
% 32.39/5.03 $less(7,sK2) | sQ4_eqProxy(sK2,7) | spl8_358),
% 32.39/5.03 inference(resolution,[],[f2963,f124])).
% 32.39/5.03 tff(f3060,plain,(
% 32.39/5.03 spl8_368 | ~spl8_349),
% 32.39/5.03 inference(avatar_split_clause,[],[f3045,f2872,f3057])).
% 32.39/5.03 tff(f3057,plain,(
% 32.39/5.03 spl8_368 <=> $less(6,abs(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_368])])).
% 32.39/5.03 tff(f2872,plain,(
% 32.39/5.03 spl8_349 <=> $less(6,x2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_349])])).
% 32.39/5.03 tff(f3045,plain,(
% 32.39/5.03 $less(6,abs(x2)) | ~spl8_349),
% 32.39/5.03 inference(resolution,[],[f2874,f87])).
% 32.39/5.03 tff(f2874,plain,(
% 32.39/5.03 $less(6,x2) | ~spl8_349),
% 32.39/5.03 inference(avatar_component_clause,[],[f2872])).
% 32.39/5.03 tff(f3055,plain,(
% 32.39/5.03 ~spl8_367 | ~spl8_349),
% 32.39/5.03 inference(avatar_split_clause,[],[f3050,f2872,f3052])).
% 32.39/5.03 tff(f3050,plain,(
% 32.39/5.03 ~$less(x2,7) | ~spl8_349),
% 32.39/5.03 inference(evaluation,[],[f3046])).
% 32.39/5.03 tff(f3046,plain,(
% 32.39/5.03 ~$less(x2,$sum(6,1)) | ~spl8_349),
% 32.39/5.03 inference(resolution,[],[f2874,f46])).
% 32.39/5.03 tff(f3044,plain,(
% 32.39/5.03 ~spl8_365 | ~spl8_366 | spl8_4 | ~spl8_20),
% 32.39/5.03 inference(avatar_split_clause,[],[f3024,f254,f163,f3041,f3037])).
% 32.39/5.03 tff(f3041,plain,(
% 32.39/5.03 spl8_366 <=> $less($product(2,y2),x2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_366])])).
% 32.39/5.03 tff(f3024,plain,(
% 32.39/5.03 ~$less($product(2,y2),x2) | ~$less(abs(sK2),sK0) | (spl8_4 | ~spl8_20)),
% 32.39/5.03 inference(resolution,[],[f649,f355])).
% 32.39/5.03 tff(f3035,plain,(
% 32.39/5.03 ~spl8_72 | ~spl8_20),
% 32.39/5.03 inference(avatar_split_clause,[],[f3018,f254,f605])).
% 32.39/5.03 tff(f3018,plain,(
% 32.39/5.03 ~$less(abs(sK2),x2) | ~spl8_20),
% 32.39/5.03 inference(resolution,[],[f649,f34])).
% 32.39/5.03 tff(f3016,plain,(
% 32.39/5.03 spl8_364 | ~spl8_20 | ~spl8_23),
% 32.39/5.03 inference(avatar_split_clause,[],[f2986,f277,f254,f3013])).
% 32.39/5.03 tff(f3013,plain,(
% 32.39/5.03 spl8_364 <=> $less(x2,$sum(x2,abs(sK2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_364])])).
% 32.39/5.03 tff(f2986,plain,(
% 32.39/5.03 $less(x2,$sum(x2,abs(sK2))) | (~spl8_20 | ~spl8_23)),
% 32.39/5.03 inference(resolution,[],[f648,f342])).
% 32.39/5.03 tff(f3011,plain,(
% 32.39/5.03 spl8_363 | spl8_6 | ~spl8_20),
% 32.39/5.03 inference(avatar_split_clause,[],[f3006,f254,f173,f3008])).
% 32.39/5.03 tff(f3008,plain,(
% 32.39/5.03 spl8_363 <=> sQ4_eqProxy(abs(abs(sK2)),abs(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_363])])).
% 32.39/5.03 tff(f3006,plain,(
% 32.39/5.03 sQ4_eqProxy(abs(abs(sK2)),abs(sK2)) | (spl8_6 | ~spl8_20)),
% 32.39/5.03 inference(subsumption_resolution,[],[f2976,f175])).
% 32.39/5.03 tff(f2976,plain,(
% 32.39/5.03 $less(x2,0) | sQ4_eqProxy(abs(abs(sK2)),abs(sK2)) | ~spl8_20),
% 32.39/5.03 inference(resolution,[],[f648,f127])).
% 32.39/5.03 tff(f3005,plain,(
% 32.39/5.03 spl8_362 | ~spl8_9 | ~spl8_20),
% 32.39/5.03 inference(avatar_split_clause,[],[f2987,f254,f197,f3002])).
% 32.39/5.03 tff(f3002,plain,(
% 32.39/5.03 spl8_362 <=> $less(x2,$sum($uminus(sK2),abs(sK2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_362])])).
% 32.39/5.03 tff(f2987,plain,(
% 32.39/5.03 $less(x2,$sum($uminus(sK2),abs(sK2))) | (~spl8_9 | ~spl8_20)),
% 32.39/5.03 inference(resolution,[],[f648,f548])).
% 32.39/5.03 tff(f2999,plain,(
% 32.39/5.03 spl8_361 | ~spl8_20 | ~spl8_26),
% 32.39/5.03 inference(avatar_split_clause,[],[f2988,f291,f254,f2996])).
% 32.39/5.03 tff(f2996,plain,(
% 32.39/5.03 spl8_361 <=> $less(x2,$sum($uminus(x2),abs(sK2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_361])])).
% 32.39/5.03 tff(f2988,plain,(
% 32.39/5.03 $less(x2,$sum($uminus(x2),abs(sK2))) | (~spl8_20 | ~spl8_26)),
% 32.39/5.03 inference(resolution,[],[f648,f705])).
% 32.39/5.03 tff(f2994,plain,(
% 32.39/5.03 spl8_360 | ~spl8_13 | ~spl8_20),
% 32.39/5.03 inference(avatar_split_clause,[],[f2989,f254,f215,f2991])).
% 32.39/5.03 tff(f2991,plain,(
% 32.39/5.03 spl8_360 <=> $less(x2,$sum(sK2,abs(sK2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_360])])).
% 32.39/5.03 tff(f2989,plain,(
% 32.39/5.03 $less(x2,$sum(sK2,abs(sK2))) | (~spl8_13 | ~spl8_20)),
% 32.39/5.03 inference(resolution,[],[f648,f310])).
% 32.39/5.03 tff(f2969,plain,(
% 32.39/5.03 spl8_359 | ~spl8_334),
% 32.39/5.03 inference(avatar_split_clause,[],[f2954,f2748,f2966])).
% 32.39/5.03 tff(f2966,plain,(
% 32.39/5.03 spl8_359 <=> $less(6,abs(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_359])])).
% 32.39/5.03 tff(f2748,plain,(
% 32.39/5.03 spl8_334 <=> $less(6,sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_334])])).
% 32.39/5.03 tff(f2954,plain,(
% 32.39/5.03 $less(6,abs(sK2)) | ~spl8_334),
% 32.39/5.03 inference(resolution,[],[f2750,f87])).
% 32.39/5.03 tff(f2750,plain,(
% 32.39/5.03 $less(6,sK2) | ~spl8_334),
% 32.39/5.03 inference(avatar_component_clause,[],[f2748])).
% 32.39/5.03 tff(f2964,plain,(
% 32.39/5.03 ~spl8_358 | ~spl8_334),
% 32.39/5.03 inference(avatar_split_clause,[],[f2959,f2748,f2961])).
% 32.39/5.03 tff(f2959,plain,(
% 32.39/5.03 ~$less(sK2,7) | ~spl8_334),
% 32.39/5.03 inference(evaluation,[],[f2955])).
% 32.39/5.03 tff(f2955,plain,(
% 32.39/5.03 ~$less(sK2,$sum(6,1)) | ~spl8_334),
% 32.39/5.03 inference(resolution,[],[f2750,f46])).
% 32.39/5.03 tff(f2952,plain,(
% 32.39/5.03 ~spl8_357 | ~spl8_19),
% 32.39/5.03 inference(avatar_split_clause,[],[f2927,f250,f2949])).
% 32.39/5.03 tff(f2949,plain,(
% 32.39/5.03 spl8_357 <=> $less($uminus(x2),sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_357])])).
% 32.39/5.03 tff(f2927,plain,(
% 32.39/5.03 ~$less($uminus(x2),sK2) | ~spl8_19),
% 32.39/5.03 inference(resolution,[],[f633,f34])).
% 32.39/5.03 tff(f2947,plain,(
% 32.39/5.03 ~spl8_356 | ~spl8_320 | spl8_4 | ~spl8_19),
% 32.39/5.03 inference(avatar_split_clause,[],[f2933,f250,f163,f2617,f2944])).
% 32.39/5.03 tff(f2617,plain,(
% 32.39/5.03 spl8_320 <=> $less($product(2,y2),sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_320])])).
% 32.39/5.03 tff(f2933,plain,(
% 32.39/5.03 ~$less($uminus(x2),sK0) | ~$less($product(2,y2),sK2) | (spl8_4 | ~spl8_19)),
% 32.39/5.03 inference(resolution,[],[f633,f355])).
% 32.39/5.03 tff(f2925,plain,(
% 32.39/5.03 spl8_355 | ~spl8_19 | ~spl8_26),
% 32.39/5.03 inference(avatar_split_clause,[],[f2902,f291,f250,f2922])).
% 32.39/5.03 tff(f2922,plain,(
% 32.39/5.03 spl8_355 <=> $less(sK2,$sum($uminus(x2),$uminus(x2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_355])])).
% 32.39/5.03 tff(f2902,plain,(
% 32.39/5.03 $less(sK2,$sum($uminus(x2),$uminus(x2))) | (~spl8_19 | ~spl8_26)),
% 32.39/5.03 inference(resolution,[],[f632,f705])).
% 32.39/5.03 tff(f2920,plain,(
% 32.39/5.03 spl8_354 | ~spl8_19 | ~spl8_23),
% 32.39/5.03 inference(avatar_split_clause,[],[f2900,f277,f250,f2917])).
% 32.39/5.03 tff(f2917,plain,(
% 32.39/5.03 spl8_354 <=> $less(sK2,$sum(x2,$uminus(x2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_354])])).
% 32.39/5.03 tff(f2900,plain,(
% 32.39/5.03 $less(sK2,$sum(x2,$uminus(x2))) | (~spl8_19 | ~spl8_23)),
% 32.39/5.03 inference(resolution,[],[f632,f342])).
% 32.39/5.03 tff(f2915,plain,(
% 32.39/5.03 spl8_353 | ~spl8_9 | ~spl8_19),
% 32.39/5.03 inference(avatar_split_clause,[],[f2901,f250,f197,f2912])).
% 32.39/5.03 tff(f2912,plain,(
% 32.39/5.03 spl8_353 <=> $less(sK2,$sum($uminus(sK2),$uminus(x2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_353])])).
% 32.39/5.03 tff(f2901,plain,(
% 32.39/5.03 $less(sK2,$sum($uminus(sK2),$uminus(x2))) | (~spl8_9 | ~spl8_19)),
% 32.39/5.03 inference(resolution,[],[f632,f548])).
% 32.39/5.03 tff(f2910,plain,(
% 32.39/5.03 spl8_352 | ~spl8_13 | ~spl8_19),
% 32.39/5.03 inference(avatar_split_clause,[],[f2903,f250,f215,f2907])).
% 32.39/5.03 tff(f2907,plain,(
% 32.39/5.03 spl8_352 <=> $less(sK2,$sum(sK2,$uminus(x2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_352])])).
% 32.39/5.03 tff(f2903,plain,(
% 32.39/5.03 $less(sK2,$sum(sK2,$uminus(x2))) | (~spl8_13 | ~spl8_19)),
% 32.39/5.03 inference(resolution,[],[f632,f310])).
% 32.39/5.03 tff(f2884,plain,(
% 32.39/5.03 spl8_349 | spl8_351 | spl8_332),
% 32.39/5.03 inference(avatar_split_clause,[],[f2854,f2733,f2881,f2872])).
% 32.39/5.03 tff(f2881,plain,(
% 32.39/5.03 spl8_351 <=> sQ4_eqProxy(6,x2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_351])])).
% 32.39/5.03 tff(f2854,plain,(
% 32.39/5.03 $less(6,x2) | sQ4_eqProxy(6,x2) | spl8_332),
% 32.39/5.03 inference(resolution,[],[f2735,f124])).
% 32.39/5.03 tff(f2879,plain,(
% 32.39/5.03 spl8_349 | spl8_350 | spl8_332),
% 32.39/5.03 inference(avatar_split_clause,[],[f2855,f2733,f2876,f2872])).
% 32.39/5.03 tff(f2876,plain,(
% 32.39/5.03 spl8_350 <=> sQ4_eqProxy(x2,6)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_350])])).
% 32.39/5.03 tff(f2855,plain,(
% 32.39/5.03 $less(6,x2) | sQ4_eqProxy(x2,6) | spl8_332),
% 32.39/5.03 inference(resolution,[],[f2735,f124])).
% 32.39/5.03 tff(f2870,plain,(
% 32.39/5.03 ~spl8_347 | spl8_348 | spl8_332),
% 32.39/5.03 inference(avatar_split_clause,[],[f2851,f2733,f2867,f2863])).
% 32.39/5.03 tff(f2863,plain,(
% 32.39/5.03 spl8_347 <=> $less(x2,abs(6))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_347])])).
% 32.39/5.03 tff(f2867,plain,(
% 32.39/5.03 spl8_348 <=> $less(6,$uminus(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_348])])).
% 32.39/5.03 tff(f2851,plain,(
% 32.39/5.03 ~$less(x2,abs(6)) | $less(6,$uminus(x2)) | spl8_332),
% 32.39/5.03 inference(resolution,[],[f2735,f89])).
% 32.39/5.03 tff(f2861,plain,(
% 32.39/5.03 spl8_346 | spl8_332),
% 32.39/5.03 inference(avatar_split_clause,[],[f2852,f2733,f2858])).
% 32.39/5.03 tff(f2858,plain,(
% 32.39/5.03 spl8_346 <=> $less(6,$sum(x2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_346])])).
% 32.39/5.03 tff(f2852,plain,(
% 32.39/5.03 $less(6,$sum(x2,1)) | spl8_332),
% 32.39/5.03 inference(resolution,[],[f2735,f38])).
% 32.39/5.03 tff(f2844,plain,(
% 32.39/5.03 spl8_345 | ~spl8_136 | ~spl8_5 | ~spl8_12),
% 32.39/5.03 inference(avatar_split_clause,[],[f2839,f211,f168,f1128,f2841])).
% 32.39/5.03 tff(f2839,plain,(
% 32.39/5.03 sQ4_eqProxy(sK2,$sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2)))) | ~sQ4_eqProxy(0,sK0) | (~spl8_5 | ~spl8_12)),
% 32.39/5.03 inference(resolution,[],[f2648,f451])).
% 32.39/5.03 tff(f2826,plain,(
% 32.39/5.03 spl8_344 | ~spl8_12 | ~spl8_62),
% 32.39/5.03 inference(avatar_split_clause,[],[f2813,f524,f211,f2823])).
% 32.39/5.03 tff(f2823,plain,(
% 32.39/5.03 spl8_344 <=> sQ4_eqProxy(abs(0),0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_344])])).
% 32.39/5.03 tff(f524,plain,(
% 32.39/5.03 spl8_62 <=> sQ4_eqProxy(abs(0),sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_62])])).
% 32.39/5.03 tff(f2813,plain,(
% 32.39/5.03 sQ4_eqProxy(abs(0),0) | (~spl8_12 | ~spl8_62)),
% 32.39/5.03 inference(resolution,[],[f2647,f526])).
% 32.39/5.03 tff(f526,plain,(
% 32.39/5.03 sQ4_eqProxy(abs(0),sK2) | ~spl8_62),
% 32.39/5.03 inference(avatar_component_clause,[],[f524])).
% 32.39/5.03 tff(f2647,plain,(
% 32.39/5.03 ( ! [X0 : $int] : (~sQ4_eqProxy(X0,sK2) | sQ4_eqProxy(X0,0)) ) | ~spl8_12),
% 32.39/5.03 inference(resolution,[],[f213,f143])).
% 32.39/5.03 tff(f2821,plain,(
% 32.39/5.03 spl8_343 | spl8_2 | ~spl8_12),
% 32.39/5.03 inference(avatar_split_clause,[],[f2820,f211,f153,f2816])).
% 32.39/5.03 tff(f2816,plain,(
% 32.39/5.03 spl8_343 <=> sQ4_eqProxy(abs(sK2),0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_343])])).
% 32.39/5.03 tff(f2820,plain,(
% 32.39/5.03 sQ4_eqProxy(abs(sK2),0) | (spl8_2 | ~spl8_12)),
% 32.39/5.03 inference(subsumption_resolution,[],[f2814,f155])).
% 32.39/5.03 tff(f2814,plain,(
% 32.39/5.03 sQ4_eqProxy(abs(sK2),0) | $less(sK2,0) | ~spl8_12),
% 32.39/5.03 inference(resolution,[],[f2647,f127])).
% 32.39/5.03 tff(f2819,plain,(
% 32.39/5.03 spl8_343 | ~spl8_11 | ~spl8_12),
% 32.39/5.03 inference(avatar_split_clause,[],[f2812,f211,f206,f2816])).
% 32.39/5.03 tff(f2812,plain,(
% 32.39/5.03 sQ4_eqProxy(abs(sK2),0) | (~spl8_11 | ~spl8_12)),
% 32.39/5.03 inference(resolution,[],[f2647,f208])).
% 32.39/5.03 tff(f2801,plain,(
% 32.39/5.03 spl8_342 | ~spl8_14 | ~spl8_65),
% 32.39/5.03 inference(avatar_split_clause,[],[f2772,f538,f220,f2798])).
% 32.39/5.03 tff(f2798,plain,(
% 32.39/5.03 spl8_342 <=> sQ4_eqProxy(0,abs(0))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_342])])).
% 32.39/5.03 tff(f538,plain,(
% 32.39/5.03 spl8_65 <=> sQ4_eqProxy(sK2,abs(0))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_65])])).
% 32.39/5.03 tff(f2772,plain,(
% 32.39/5.03 sQ4_eqProxy(0,abs(0)) | (~spl8_14 | ~spl8_65)),
% 32.39/5.03 inference(resolution,[],[f2644,f540])).
% 32.39/5.03 tff(f540,plain,(
% 32.39/5.03 sQ4_eqProxy(sK2,abs(0)) | ~spl8_65),
% 32.39/5.03 inference(avatar_component_clause,[],[f538])).
% 32.39/5.03 tff(f2644,plain,(
% 32.39/5.03 ( ! [X0 : $int] : (~sQ4_eqProxy(sK2,X0) | sQ4_eqProxy(0,X0)) ) | ~spl8_14),
% 32.39/5.03 inference(resolution,[],[f222,f143])).
% 32.39/5.03 tff(f2796,plain,(
% 32.39/5.03 spl8_341 | ~spl8_14 | ~spl8_70),
% 32.39/5.03 inference(avatar_split_clause,[],[f2771,f588,f220,f2793])).
% 32.39/5.03 tff(f2793,plain,(
% 32.39/5.03 spl8_341 <=> sQ4_eqProxy(0,abs(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_341])])).
% 32.39/5.03 tff(f588,plain,(
% 32.39/5.03 spl8_70 <=> sQ4_eqProxy(sK2,abs(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_70])])).
% 32.39/5.03 tff(f2771,plain,(
% 32.39/5.03 sQ4_eqProxy(0,abs(sK2)) | (~spl8_14 | ~spl8_70)),
% 32.39/5.03 inference(resolution,[],[f2644,f590])).
% 32.39/5.03 tff(f590,plain,(
% 32.39/5.03 sQ4_eqProxy(sK2,abs(sK2)) | ~spl8_70),
% 32.39/5.03 inference(avatar_component_clause,[],[f588])).
% 32.39/5.03 tff(f2791,plain,(
% 32.39/5.03 spl8_339 | ~spl8_340 | ~spl8_5 | ~spl8_14),
% 32.39/5.03 inference(avatar_split_clause,[],[f2782,f220,f168,f2788,f2784])).
% 32.39/5.03 tff(f2784,plain,(
% 32.39/5.03 spl8_339 <=> sQ4_eqProxy(0,$sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_339])])).
% 32.39/5.03 tff(f2782,plain,(
% 32.39/5.03 sQ4_eqProxy(0,$sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2)))) | ~sQ4_eqProxy(sK2,sK0) | (~spl8_5 | ~spl8_14)),
% 32.39/5.03 inference(resolution,[],[f2644,f451])).
% 32.39/5.03 tff(f2770,plain,(
% 32.39/5.03 spl8_338 | spl8_334 | spl8_329),
% 32.39/5.03 inference(avatar_split_clause,[],[f2740,f2705,f2748,f2767])).
% 32.39/5.03 tff(f2767,plain,(
% 32.39/5.03 spl8_338 <=> sQ4_eqProxy(6,sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_338])])).
% 32.39/5.03 tff(f2740,plain,(
% 32.39/5.03 sQ4_eqProxy(6,sK2) | $less(6,sK2) | spl8_329),
% 32.39/5.03 inference(resolution,[],[f2707,f124])).
% 32.39/5.03 tff(f2765,plain,(
% 32.39/5.03 ~spl8_336 | spl8_337 | spl8_329),
% 32.39/5.03 inference(avatar_split_clause,[],[f2737,f2705,f2762,f2758])).
% 32.39/5.03 tff(f2758,plain,(
% 32.39/5.03 spl8_336 <=> $less(sK2,abs(6))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_336])])).
% 32.39/5.03 tff(f2762,plain,(
% 32.39/5.03 spl8_337 <=> $less(6,$uminus(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_337])])).
% 32.39/5.03 tff(f2737,plain,(
% 32.39/5.03 ~$less(sK2,abs(6)) | $less(6,$uminus(sK2)) | spl8_329),
% 32.39/5.03 inference(resolution,[],[f2707,f89])).
% 32.39/5.03 tff(f2756,plain,(
% 32.39/5.03 spl8_335 | spl8_329),
% 32.39/5.03 inference(avatar_split_clause,[],[f2738,f2705,f2753])).
% 32.39/5.03 tff(f2753,plain,(
% 32.39/5.03 spl8_335 <=> $less(6,$sum(sK2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_335])])).
% 32.39/5.03 tff(f2738,plain,(
% 32.39/5.03 $less(6,$sum(sK2,1)) | spl8_329),
% 32.39/5.03 inference(resolution,[],[f2707,f38])).
% 32.39/5.03 tff(f2751,plain,(
% 32.39/5.03 spl8_333 | spl8_334 | spl8_329),
% 32.39/5.03 inference(avatar_split_clause,[],[f2741,f2705,f2748,f2744])).
% 32.39/5.03 tff(f2744,plain,(
% 32.39/5.03 spl8_333 <=> sQ4_eqProxy(sK2,6)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_333])])).
% 32.39/5.03 tff(f2741,plain,(
% 32.39/5.03 $less(6,sK2) | sQ4_eqProxy(sK2,6) | spl8_329),
% 32.39/5.03 inference(resolution,[],[f2707,f124])).
% 32.39/5.03 tff(f2736,plain,(
% 32.39/5.03 ~spl8_332 | ~spl8_326),
% 32.39/5.03 inference(avatar_split_clause,[],[f2726,f2683,f2733])).
% 32.39/5.03 tff(f2683,plain,(
% 32.39/5.03 spl8_326 <=> $less(5,x2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_326])])).
% 32.39/5.03 tff(f2726,plain,(
% 32.39/5.03 ~$less(x2,6) | ~spl8_326),
% 32.39/5.03 inference(evaluation,[],[f2722])).
% 32.39/5.03 tff(f2722,plain,(
% 32.39/5.03 ~$less(x2,$sum(5,1)) | ~spl8_326),
% 32.39/5.03 inference(resolution,[],[f2685,f46])).
% 32.39/5.03 tff(f2685,plain,(
% 32.39/5.03 $less(5,x2) | ~spl8_326),
% 32.39/5.03 inference(avatar_component_clause,[],[f2683])).
% 32.39/5.03 tff(f2731,plain,(
% 32.39/5.03 spl8_331 | ~spl8_326),
% 32.39/5.03 inference(avatar_split_clause,[],[f2721,f2683,f2728])).
% 32.39/5.03 tff(f2728,plain,(
% 32.39/5.03 spl8_331 <=> $less(5,abs(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_331])])).
% 32.39/5.03 tff(f2721,plain,(
% 32.39/5.03 $less(5,abs(x2)) | ~spl8_326),
% 32.39/5.03 inference(resolution,[],[f2685,f87])).
% 32.39/5.03 tff(f2717,plain,(
% 32.39/5.03 spl8_65 | ~spl8_62),
% 32.39/5.03 inference(avatar_split_clause,[],[f2716,f524,f538])).
% 32.39/5.03 tff(f2716,plain,(
% 32.39/5.03 sQ4_eqProxy(sK2,abs(0)) | ~spl8_62),
% 32.39/5.03 inference(resolution,[],[f526,f142])).
% 32.39/5.03 tff(f2713,plain,(
% 32.39/5.03 spl8_330 | ~spl8_306),
% 32.39/5.03 inference(avatar_split_clause,[],[f2698,f2499,f2710])).
% 32.39/5.03 tff(f2710,plain,(
% 32.39/5.03 spl8_330 <=> $less(5,abs(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_330])])).
% 32.39/5.03 tff(f2499,plain,(
% 32.39/5.03 spl8_306 <=> $less(5,sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_306])])).
% 32.39/5.03 tff(f2698,plain,(
% 32.39/5.03 $less(5,abs(sK2)) | ~spl8_306),
% 32.39/5.03 inference(resolution,[],[f2501,f87])).
% 32.39/5.03 tff(f2501,plain,(
% 32.39/5.03 $less(5,sK2) | ~spl8_306),
% 32.39/5.03 inference(avatar_component_clause,[],[f2499])).
% 32.39/5.03 tff(f2708,plain,(
% 32.39/5.03 ~spl8_329 | ~spl8_306),
% 32.39/5.03 inference(avatar_split_clause,[],[f2703,f2499,f2705])).
% 32.39/5.03 tff(f2703,plain,(
% 32.39/5.03 ~$less(sK2,6) | ~spl8_306),
% 32.39/5.03 inference(evaluation,[],[f2699])).
% 32.39/5.03 tff(f2699,plain,(
% 32.39/5.03 ~$less(sK2,$sum(5,1)) | ~spl8_306),
% 32.39/5.03 inference(resolution,[],[f2501,f46])).
% 32.39/5.03 tff(f2696,plain,(
% 32.39/5.03 spl8_328 | spl8_326 | spl8_298),
% 32.39/5.03 inference(avatar_split_clause,[],[f2666,f2433,f2683,f2693])).
% 32.39/5.03 tff(f2693,plain,(
% 32.39/5.03 spl8_328 <=> sQ4_eqProxy(5,x2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_328])])).
% 32.39/5.03 tff(f2666,plain,(
% 32.39/5.03 $less(5,x2) | sQ4_eqProxy(5,x2) | spl8_298),
% 32.39/5.03 inference(resolution,[],[f2435,f124])).
% 32.39/5.03 tff(f2691,plain,(
% 32.39/5.03 spl8_327 | spl8_298),
% 32.39/5.03 inference(avatar_split_clause,[],[f2664,f2433,f2688])).
% 32.39/5.03 tff(f2688,plain,(
% 32.39/5.03 spl8_327 <=> $less(5,$sum(x2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_327])])).
% 32.39/5.03 tff(f2664,plain,(
% 32.39/5.03 $less(5,$sum(x2,1)) | spl8_298),
% 32.39/5.03 inference(resolution,[],[f2435,f38])).
% 32.39/5.03 tff(f2686,plain,(
% 32.39/5.03 spl8_325 | spl8_326 | spl8_298),
% 32.39/5.03 inference(avatar_split_clause,[],[f2667,f2433,f2683,f2679])).
% 32.39/5.03 tff(f2679,plain,(
% 32.39/5.03 spl8_325 <=> sQ4_eqProxy(x2,5)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_325])])).
% 32.39/5.03 tff(f2667,plain,(
% 32.39/5.03 sQ4_eqProxy(x2,5) | $less(5,x2) | spl8_298),
% 32.39/5.03 inference(resolution,[],[f2435,f124])).
% 32.39/5.03 tff(f2677,plain,(
% 32.39/5.03 ~spl8_323 | spl8_324 | spl8_298),
% 32.39/5.03 inference(avatar_split_clause,[],[f2663,f2433,f2674,f2670])).
% 32.39/5.03 tff(f2670,plain,(
% 32.39/5.03 spl8_323 <=> $less(x2,abs(5))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_323])])).
% 32.39/5.03 tff(f2674,plain,(
% 32.39/5.03 spl8_324 <=> $less(5,$uminus(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_324])])).
% 32.39/5.03 tff(f2663,plain,(
% 32.39/5.03 $less(5,$uminus(x2)) | ~$less(x2,abs(5)) | spl8_298),
% 32.39/5.03 inference(resolution,[],[f2435,f89])).
% 32.39/5.03 tff(f2662,plain,(
% 32.39/5.03 spl8_62 | ~spl8_14),
% 32.39/5.03 inference(avatar_split_clause,[],[f2661,f220,f524])).
% 32.39/5.03 tff(f2661,plain,(
% 32.39/5.03 sQ4_eqProxy(abs(0),sK2) | ~spl8_14),
% 32.39/5.03 inference(evaluation,[],[f2659])).
% 32.39/5.03 tff(f2659,plain,(
% 32.39/5.03 $less(0,0) | sQ4_eqProxy(abs(0),sK2) | ~spl8_14),
% 32.39/5.03 inference(resolution,[],[f2643,f127])).
% 32.39/5.03 tff(f2646,plain,(
% 32.39/5.03 spl8_12 | ~spl8_14),
% 32.39/5.03 inference(avatar_split_clause,[],[f2645,f220,f211])).
% 32.39/5.03 tff(f2645,plain,(
% 32.39/5.03 sQ4_eqProxy(sK2,0) | ~spl8_14),
% 32.39/5.03 inference(resolution,[],[f222,f142])).
% 32.39/5.03 tff(f2642,plain,(
% 32.39/5.03 spl8_322 | ~spl8_11),
% 32.39/5.03 inference(avatar_split_clause,[],[f2637,f206,f2639])).
% 32.39/5.03 tff(f2639,plain,(
% 32.39/5.03 spl8_322 <=> sQ4_eqProxy(abs(abs(sK2)),sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_322])])).
% 32.39/5.03 tff(f2637,plain,(
% 32.39/5.03 sQ4_eqProxy(abs(abs(sK2)),sK2) | ~spl8_11),
% 32.39/5.03 inference(subsumption_resolution,[],[f2630,f85])).
% 32.39/5.03 tff(f2630,plain,(
% 32.39/5.03 $less(abs(sK2),0) | sQ4_eqProxy(abs(abs(sK2)),sK2) | ~spl8_11),
% 32.39/5.03 inference(resolution,[],[f584,f127])).
% 32.39/5.03 tff(f2636,plain,(
% 32.39/5.03 spl8_14 | spl8_321 | ~spl8_11),
% 32.39/5.03 inference(avatar_split_clause,[],[f2629,f206,f2634,f220])).
% 32.39/5.03 tff(f2634,plain,(
% 32.39/5.03 spl8_321 <=> ! [X0 : $int,X1 : $int] : (sQ4_eqProxy(X0,X1) | ~sQ4_eqProxy($product(abs(sK2),X0),$product(abs(sK2),X1)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_321])])).
% 32.39/5.03 tff(f2629,plain,(
% 32.39/5.03 ( ! [X0 : $int,X1 : $int] : (sQ4_eqProxy(0,sK2) | sQ4_eqProxy(X0,X1) | ~sQ4_eqProxy($product(abs(sK2),X0),$product(abs(sK2),X1))) ) | ~spl8_11),
% 32.39/5.03 inference(resolution,[],[f584,f131])).
% 32.39/5.03 tff(f2620,plain,(
% 32.39/5.03 ~spl8_319 | ~spl8_320 | spl8_4 | ~spl8_10),
% 32.39/5.03 inference(avatar_split_clause,[],[f2603,f201,f163,f2617,f2613])).
% 32.39/5.03 tff(f2613,plain,(
% 32.39/5.03 spl8_319 <=> $less(abs(0),sK0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_319])])).
% 32.39/5.03 tff(f2603,plain,(
% 32.39/5.03 ~$less($product(2,y2),sK2) | ~$less(abs(0),sK0) | (spl8_4 | ~spl8_10)),
% 32.39/5.03 inference(resolution,[],[f580,f355])).
% 32.39/5.03 tff(f2595,plain,(
% 32.39/5.03 spl8_318 | ~spl8_10 | ~spl8_26),
% 32.39/5.03 inference(avatar_split_clause,[],[f2567,f291,f201,f2592])).
% 32.39/5.03 tff(f2592,plain,(
% 32.39/5.03 spl8_318 <=> $less(sK2,$sum($uminus(x2),abs(0)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_318])])).
% 32.39/5.03 tff(f2567,plain,(
% 32.39/5.03 $less(sK2,$sum($uminus(x2),abs(0))) | (~spl8_10 | ~spl8_26)),
% 32.39/5.03 inference(resolution,[],[f579,f705])).
% 32.39/5.03 tff(f2590,plain,(
% 32.39/5.03 spl8_317 | spl8_2 | ~spl8_10),
% 32.39/5.03 inference(avatar_split_clause,[],[f2585,f201,f153,f2587])).
% 32.39/5.03 tff(f2587,plain,(
% 32.39/5.03 spl8_317 <=> sQ4_eqProxy(abs(abs(0)),abs(0))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_317])])).
% 32.39/5.03 tff(f2585,plain,(
% 32.39/5.03 sQ4_eqProxy(abs(abs(0)),abs(0)) | (spl8_2 | ~spl8_10)),
% 32.39/5.03 inference(subsumption_resolution,[],[f2557,f155])).
% 32.39/5.03 tff(f2557,plain,(
% 32.39/5.03 $less(sK2,0) | sQ4_eqProxy(abs(abs(0)),abs(0)) | ~spl8_10),
% 32.39/5.03 inference(resolution,[],[f579,f127])).
% 32.39/5.03 tff(f2583,plain,(
% 32.39/5.03 spl8_316 | ~spl8_10 | ~spl8_13),
% 32.39/5.03 inference(avatar_split_clause,[],[f2568,f215,f201,f2580])).
% 32.39/5.03 tff(f2580,plain,(
% 32.39/5.03 spl8_316 <=> $less(sK2,$sum(sK2,abs(0)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_316])])).
% 32.39/5.03 tff(f2568,plain,(
% 32.39/5.03 $less(sK2,$sum(sK2,abs(0))) | (~spl8_10 | ~spl8_13)),
% 32.39/5.03 inference(resolution,[],[f579,f310])).
% 32.39/5.03 tff(f2578,plain,(
% 32.39/5.03 spl8_315 | ~spl8_10 | ~spl8_23),
% 32.39/5.03 inference(avatar_split_clause,[],[f2565,f277,f201,f2575])).
% 32.39/5.03 tff(f2575,plain,(
% 32.39/5.03 spl8_315 <=> $less(sK2,$sum(x2,abs(0)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_315])])).
% 32.39/5.03 tff(f2565,plain,(
% 32.39/5.03 $less(sK2,$sum(x2,abs(0))) | (~spl8_10 | ~spl8_23)),
% 32.39/5.03 inference(resolution,[],[f579,f342])).
% 32.39/5.03 tff(f2573,plain,(
% 32.39/5.03 spl8_314 | ~spl8_9 | ~spl8_10),
% 32.39/5.03 inference(avatar_split_clause,[],[f2566,f201,f197,f2570])).
% 32.39/5.03 tff(f2570,plain,(
% 32.39/5.03 spl8_314 <=> $less(sK2,$sum($uminus(sK2),abs(0)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_314])])).
% 32.39/5.03 tff(f2566,plain,(
% 32.39/5.03 $less(sK2,$sum($uminus(sK2),abs(0))) | (~spl8_9 | ~spl8_10)),
% 32.39/5.03 inference(resolution,[],[f579,f548])).
% 32.39/5.03 tff(f2550,plain,(
% 32.39/5.03 ~spl8_312 | ~spl8_313 | spl8_4 | ~spl8_9),
% 32.39/5.03 inference(avatar_split_clause,[],[f2529,f197,f163,f2547,f2543])).
% 32.39/5.03 tff(f2547,plain,(
% 32.39/5.03 spl8_313 <=> $less($uminus(sK2),sK0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_313])])).
% 32.39/5.03 tff(f2529,plain,(
% 32.39/5.03 ~$less($uminus(sK2),sK0) | ~$less($product(2,y2),0) | (spl8_4 | ~spl8_9)),
% 32.39/5.03 inference(resolution,[],[f546,f355])).
% 32.39/5.03 tff(f2541,plain,(
% 32.39/5.03 ~spl8_311 | ~spl8_9),
% 32.39/5.03 inference(avatar_split_clause,[],[f2523,f197,f2538])).
% 32.39/5.03 tff(f2538,plain,(
% 32.39/5.03 spl8_311 <=> $less($uminus(sK2),0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_311])])).
% 32.39/5.03 tff(f2523,plain,(
% 32.39/5.03 ~$less($uminus(sK2),0) | ~spl8_9),
% 32.39/5.03 inference(resolution,[],[f546,f34])).
% 32.39/5.03 tff(f2521,plain,(
% 32.39/5.03 spl8_310 | spl8_296),
% 32.39/5.03 inference(avatar_split_clause,[],[f2489,f2417,f2518])).
% 32.39/5.03 tff(f2518,plain,(
% 32.39/5.03 spl8_310 <=> $less(5,$sum(sK2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_310])])).
% 32.39/5.03 tff(f2489,plain,(
% 32.39/5.03 $less(5,$sum(sK2,1)) | spl8_296),
% 32.39/5.03 inference(resolution,[],[f2419,f38])).
% 32.39/5.03 tff(f2516,plain,(
% 32.39/5.03 spl8_308 | ~spl8_309 | spl8_296),
% 32.39/5.03 inference(avatar_split_clause,[],[f2488,f2417,f2513,f2509])).
% 32.39/5.03 tff(f2509,plain,(
% 32.39/5.03 spl8_308 <=> $less(5,$uminus(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_308])])).
% 32.39/5.03 tff(f2513,plain,(
% 32.39/5.03 spl8_309 <=> $less(sK2,abs(5))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_309])])).
% 32.39/5.03 t% (13678)Refutation not found, SMT solver inside AVATAR returned Unknown% (13678)------------------------------
% 32.39/5.03 % (13678)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 32.39/5.03 % (13678)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 32.39/5.03 % (13678)Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown
% 32.39/5.03
% 32.39/5.03 % (13678)Memory used [KB]: 31485
% 32.39/5.03 % (13678)Time elapsed: 4.602 s
% 32.39/5.03 % (13678)Instructions burned: 19106 (million)
% 32.39/5.03 ff(f2488,plain,(
% 32.39/5.03 ~$less(sK2,abs(5)) | $less(5,$uminus(sK2)) | spl8_296),
% 32.39/5.03 inference(resolution,[],[f2419,f89])).
% 32.39/5.03 tff(f2507,plain,(
% 32.39/5.03 spl8_306 | spl8_307 | spl8_296),
% 32.39/5.03 inference(avatar_split_clause,[],[f2492,f2417,f2504,f2499])).
% 32.39/5.03 tff(f2504,plain,(
% 32.39/5.03 spl8_307 <=> sQ4_eqProxy(sK2,5)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_307])])).
% 32.39/5.03 tff(f2492,plain,(
% 32.39/5.03 $less(5,sK2) | sQ4_eqProxy(sK2,5) | spl8_296),
% 32.39/5.03 inference(resolution,[],[f2419,f124])).
% 32.39/5.03 tff(f2502,plain,(
% 32.39/5.03 spl8_305 | spl8_306 | spl8_296),
% 32.39/5.03 inference(avatar_split_clause,[],[f2491,f2417,f2499,f2495])).
% 32.39/5.03 tff(f2495,plain,(
% 32.39/5.03 spl8_305 <=> sQ4_eqProxy(5,sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_305])])).
% 32.39/5.03 tff(f2491,plain,(
% 32.39/5.03 sQ4_eqProxy(5,sK2) | $less(5,sK2) | spl8_296),
% 32.39/5.03 inference(resolution,[],[f2419,f124])).
% 32.39/5.03 tff(f2487,plain,(
% 32.39/5.03 spl8_304 | ~spl8_9),
% 32.39/5.03 inference(avatar_split_clause,[],[f2459,f197,f2484])).
% 32.39/5.03 tff(f2484,plain,(
% 32.39/5.03 spl8_304 <=> sQ4_eqProxy(abs($uminus(sK2)),$uminus(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_304])])).
% 32.39/5.03 tff(f2459,plain,(
% 32.39/5.03 sQ4_eqProxy(abs($uminus(sK2)),$uminus(sK2)) | ~spl8_9),
% 32.39/5.03 inference(evaluation,[],[f2448])).
% 32.39/5.03 tff(f2448,plain,(
% 32.39/5.03 $less(0,0) | sQ4_eqProxy(abs($uminus(sK2)),$uminus(sK2)) | ~spl8_9),
% 32.39/5.03 inference(resolution,[],[f545,f127])).
% 32.39/5.03 tff(f2482,plain,(
% 32.39/5.03 spl8_303 | ~spl8_9 | ~spl8_26),
% 32.39/5.03 inference(avatar_split_clause,[],[f2457,f291,f197,f2479])).
% 32.39/5.03 tff(f2479,plain,(
% 32.39/5.03 spl8_303 <=> $less(0,$sum($uminus(x2),$uminus(sK2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_303])])).
% 32.39/5.03 tff(f2457,plain,(
% 32.39/5.03 $less(0,$sum($uminus(x2),$uminus(sK2))) | (~spl8_9 | ~spl8_26)),
% 32.39/5.03 inference(resolution,[],[f545,f705])).
% 32.39/5.03 tff(f2477,plain,(
% 32.39/5.03 spl8_302 | ~spl8_9),
% 32.39/5.03 inference(avatar_split_clause,[],[f2456,f197,f2474])).
% 32.39/5.03 tff(f2474,plain,(
% 32.39/5.03 spl8_302 <=> $less(0,$sum($uminus(sK2),$uminus(sK2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_302])])).
% 32.39/5.03 tff(f2456,plain,(
% 32.39/5.03 $less(0,$sum($uminus(sK2),$uminus(sK2))) | ~spl8_9),
% 32.39/5.03 inference(resolution,[],[f545,f548])).
% 32.39/5.03 tff(f2472,plain,(
% 32.39/5.03 spl8_301 | ~spl8_9 | ~spl8_13),
% 32.39/5.03 inference(avatar_split_clause,[],[f2458,f215,f197,f2469])).
% 32.39/5.03 tff(f2469,plain,(
% 32.39/5.03 spl8_301 <=> $less(0,$sum(sK2,$uminus(sK2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_301])])).
% 32.39/5.03 tff(f2458,plain,(
% 32.39/5.03 $less(0,$sum(sK2,$uminus(sK2))) | (~spl8_9 | ~spl8_13)),
% 32.39/5.03 inference(resolution,[],[f545,f310])).
% 32.39/5.03 tff(f2467,plain,(
% 32.39/5.03 spl8_300 | ~spl8_9 | ~spl8_23),
% 32.39/5.03 inference(avatar_split_clause,[],[f2455,f277,f197,f2464])).
% 32.39/5.03 tff(f2464,plain,(
% 32.39/5.03 spl8_300 <=> $less(0,$sum(x2,$uminus(sK2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_300])])).
% 32.39/5.03 tff(f2455,plain,(
% 32.39/5.03 $less(0,$sum(x2,$uminus(sK2))) | (~spl8_9 | ~spl8_23)),
% 32.39/5.03 inference(resolution,[],[f545,f342])).
% 32.39/5.03 tff(f2441,plain,(
% 32.39/5.03 spl8_299 | ~spl8_217),
% 32.39/5.03 inference(avatar_split_clause,[],[f2426,f1770,f2438])).
% 32.39/5.03 tff(f2438,plain,(
% 32.39/5.03 spl8_299 <=> $less(4,abs(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_299])])).
% 32.39/5.03 tff(f1770,plain,(
% 32.39/5.03 spl8_217 <=> $less(4,x2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_217])])).
% 32.39/5.03 tff(f2426,plain,(
% 32.39/5.03 $less(4,abs(x2)) | ~spl8_217),
% 32.39/5.03 inference(resolution,[],[f1772,f87])).
% 32.39/5.03 tff(f1772,plain,(
% 32.39/5.03 $less(4,x2) | ~spl8_217),
% 32.39/5.03 inference(avatar_component_clause,[],[f1770])).
% 32.39/5.03 tff(f2436,plain,(
% 32.39/5.03 ~spl8_298 | ~spl8_217),
% 32.39/5.03 inference(avatar_split_clause,[],[f2431,f1770,f2433])).
% 32.39/5.03 tff(f2431,plain,(
% 32.39/5.03 ~$less(x2,5) | ~spl8_217),
% 32.39/5.03 inference(evaluation,[],[f2427])).
% 32.39/5.03 tff(f2427,plain,(
% 32.39/5.03 ~$less(x2,$sum(4,1)) | ~spl8_217),
% 32.39/5.03 inference(resolution,[],[f1772,f46])).
% 32.39/5.03 tff(f2425,plain,(
% 32.39/5.03 spl8_297 | ~spl8_207),
% 32.39/5.03 inference(avatar_split_clause,[],[f2410,f1699,f2422])).
% 32.39/5.03 tff(f2422,plain,(
% 32.39/5.03 spl8_297 <=> $less(4,abs(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_297])])).
% 32.39/5.03 tff(f1699,plain,(
% 32.39/5.03 spl8_207 <=> $less(4,sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_207])])).
% 32.39/5.03 tff(f2410,plain,(
% 32.39/5.03 $less(4,abs(sK2)) | ~spl8_207),
% 32.39/5.03 inference(resolution,[],[f1701,f87])).
% 32.39/5.03 tff(f1701,plain,(
% 32.39/5.03 $less(4,sK2) | ~spl8_207),
% 32.39/5.03 inference(avatar_component_clause,[],[f1699])).
% 32.39/5.03 tff(f2420,plain,(
% 32.39/5.03 ~spl8_296 | ~spl8_207),
% 32.39/5.03 inference(avatar_split_clause,[],[f2415,f1699,f2417])).
% 32.39/5.03 tff(f2415,plain,(
% 32.39/5.03 ~$less(sK2,5) | ~spl8_207),
% 32.39/5.03 inference(evaluation,[],[f2411])).
% 32.39/5.03 tff(f2411,plain,(
% 32.39/5.03 ~$less(sK2,$sum(4,1)) | ~spl8_207),
% 32.39/5.03 inference(resolution,[],[f1701,f46])).
% 32.39/5.03 tff(f2402,plain,(
% 32.39/5.03 ~spl8_295 | ~spl8_94),
% 32.39/5.03 inference(avatar_split_clause,[],[f2389,f782,f2399])).
% 32.39/5.03 tff(f2399,plain,(
% 32.39/5.03 spl8_295 <=> $less(abs($product(2,y2)),$sum(sK0,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_295])])).
% 32.39/5.03 tff(f782,plain,(
% 32.39/5.03 spl8_94 <=> $less(sK0,abs($product(2,y2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_94])])).
% 32.39/5.03 tff(f2389,plain,(
% 32.39/5.03 ~$less(abs($product(2,y2)),$sum(sK0,1)) | ~spl8_94),
% 32.39/5.03 inference(resolution,[],[f784,f46])).
% 32.39/5.03 tff(f784,plain,(
% 32.39/5.03 $less(sK0,abs($product(2,y2))) | ~spl8_94),
% 32.39/5.03 inference(avatar_component_clause,[],[f782])).
% 32.39/5.03 tff(f2397,plain,(
% 32.39/5.03 spl8_294 | ~spl8_94),
% 32.39/5.03 inference(avatar_split_clause,[],[f2388,f782,f2394])).
% 32.39/5.03 tff(f2394,plain,(
% 32.39/5.03 spl8_294 <=> $less(sK0,abs(abs($product(2,y2))))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_294])])).
% 32.39/5.03 tff(f2388,plain,(
% 32.39/5.03 $less(sK0,abs(abs($product(2,y2)))) | ~spl8_94),
% 32.39/5.03 inference(resolution,[],[f784,f87])).
% 32.39/5.03 tff(f2386,plain,(
% 32.39/5.03 ~spl8_293 | ~spl8_93),
% 32.39/5.03 inference(avatar_split_clause,[],[f2375,f772,f2383])).
% 32.39/5.03 tff(f2383,plain,(
% 32.39/5.03 spl8_293 <=> $less(abs($sum(x2,1)),1)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_293])])).
% 32.39/5.03 tff(f772,plain,(
% 32.39/5.03 spl8_93 <=> $less(0,abs($sum(x2,1)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_93])])).
% 32.39/5.03 tff(f2375,plain,(
% 32.39/5.03 ~$less(abs($sum(x2,1)),1) | ~spl8_93),
% 32.39/5.03 inference(evaluation,[],[f2370])).
% 32.39/5.03 tff(f2370,plain,(
% 32.39/5.03 ~$less(abs($sum(x2,1)),$sum(0,1)) | ~spl8_93),
% 32.39/5.03 inference(resolution,[],[f774,f46])).
% 32.39/5.03 tff(f774,plain,(
% 32.39/5.03 $less(0,abs($sum(x2,1))) | ~spl8_93),
% 32.39/5.03 inference(avatar_component_clause,[],[f772])).
% 32.39/5.03 tff(f2381,plain,(
% 32.39/5.03 spl8_292 | ~spl8_93),
% 32.39/5.03 inference(avatar_split_clause,[],[f2369,f772,f2378])).
% 32.39/5.03 tff(f2378,plain,(
% 32.39/5.03 spl8_292 <=> $less(0,abs(abs($sum(x2,1))))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_292])])).
% 32.39/5.03 tff(f2369,plain,(
% 32.39/5.03 $less(0,abs(abs($sum(x2,1)))) | ~spl8_93),
% 32.39/5.03 inference(resolution,[],[f774,f87])).
% 32.39/5.03 tff(f2367,plain,(
% 32.39/5.03 ~spl8_291 | ~spl8_90),
% 32.39/5.03 inference(avatar_split_clause,[],[f2354,f749,f2364])).
% 32.39/5.03 tff(f2364,plain,(
% 32.39/5.03 spl8_291 <=> $less(abs($sum(x2,1)),$sum(sK2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_291])])).
% 32.39/5.03 tff(f749,plain,(
% 32.39/5.03 spl8_90 <=> $less(sK2,abs($sum(x2,1)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_90])])).
% 32.39/5.03 tff(f2354,plain,(
% 32.39/5.03 ~$less(abs($sum(x2,1)),$sum(sK2,1)) | ~spl8_90),
% 32.39/5.03 inference(resolution,[],[f751,f46])).
% 32.39/5.03 tff(f751,plain,(
% 32.39/5.03 $less(sK2,abs($sum(x2,1))) | ~spl8_90),
% 32.39/5.03 inference(avatar_component_clause,[],[f749])).
% 32.39/5.03 tff(f2362,plain,(
% 32.39/5.03 spl8_290 | ~spl8_90),
% 32.39/5.03 inference(avatar_split_clause,[],[f2353,f749,f2359])).
% 32.39/5.03 tff(f2359,plain,(
% 32.39/5.03 spl8_290 <=> $less(sK2,abs(abs($sum(x2,1))))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_290])])).
% 32.39/5.03 tff(f2353,plain,(
% 32.39/5.03 $less(sK2,abs(abs($sum(x2,1)))) | ~spl8_90),
% 32.39/5.03 inference(resolution,[],[f751,f87])).
% 32.39/5.03 tff(f2349,plain,(
% 32.39/5.03 spl8_289 | ~spl8_88),
% 32.39/5.03 inference(avatar_split_clause,[],[f2332,f733,f2346])).
% 32.39/5.03 tff(f2346,plain,(
% 32.39/5.03 spl8_289 <=> $less(0,abs(abs($sum(sK2,1))))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_289])])).
% 32.39/5.03 tff(f733,plain,(
% 32.39/5.03 spl8_88 <=> $less(0,abs($sum(sK2,1)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_88])])).
% 32.39/5.03 tff(f2332,plain,(
% 32.39/5.03 $less(0,abs(abs($sum(sK2,1)))) | ~spl8_88),
% 32.39/5.03 inference(resolution,[],[f735,f87])).
% 32.39/5.03 tff(f735,plain,(
% 32.39/5.03 $less(0,abs($sum(sK2,1))) | ~spl8_88),
% 32.39/5.03 inference(avatar_component_clause,[],[f733])).
% 32.39/5.03 tff(f2344,plain,(
% 32.39/5.03 ~spl8_288 | ~spl8_88),
% 32.39/5.03 inference(avatar_split_clause,[],[f2337,f733,f2341])).
% 32.39/5.03 tff(f2341,plain,(
% 32.39/5.03 spl8_288 <=> $less(abs($sum(sK2,1)),1)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_288])])).
% 32.39/5.03 tff(f2337,plain,(
% 32.39/5.03 ~$less(abs($sum(sK2,1)),1) | ~spl8_88),
% 32.39/5.03 inference(evaluation,[],[f2333])).
% 32.39/5.03 tff(f2333,plain,(
% 32.39/5.03 ~$less(abs($sum(sK2,1)),$sum(0,1)) | ~spl8_88),
% 32.39/5.03 inference(resolution,[],[f735,f46])).
% 32.39/5.03 tff(f2330,plain,(
% 32.39/5.03 ~spl8_287 | spl8_3 | ~spl8_26),
% 32.39/5.03 inference(avatar_split_clause,[],[f2293,f291,f158,f2327])).
% 32.39/5.03 tff(f2327,plain,(
% 32.39/5.03 spl8_287 <=> $less($sum($uminus(x2),x2),sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_287])])).
% 32.39/5.03 tff(f2293,plain,(
% 32.39/5.03 ~$less($sum($uminus(x2),x2),sK2) | (spl8_3 | ~spl8_26)),
% 32.39/5.03 inference(resolution,[],[f705,f231])).
% 32.39/5.03 tff(f2325,plain,(
% 32.39/5.03 ~spl8_286 | spl8_4 | ~spl8_26),
% 32.39/5.03 inference(avatar_split_clause,[],[f2289,f291,f163,f2322])).
% 32.39/5.03 tff(f2322,plain,(
% 32.39/5.03 spl8_286 <=> $less($sum($uminus(x2),$product(2,y2)),sK0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_286])])).
% 32.39/5.03 tff(f2289,plain,(
% 32.39/5.03 ~$less($sum($uminus(x2),$product(2,y2)),sK0) | (spl8_4 | ~spl8_26)),
% 32.39/5.03 inference(resolution,[],[f705,f355])).
% 32.39/5.03 tff(f2320,plain,(
% 32.39/5.03 spl8_285 | ~spl8_23 | ~spl8_26),
% 32.39/5.03 inference(avatar_split_clause,[],[f2290,f291,f277,f2317])).
% 32.39/5.03 tff(f2317,plain,(
% 32.39/5.03 spl8_285 <=> $less(0,$sum($uminus(x2),x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_285])])).
% 32.39/5.03 tff(f2290,plain,(
% 32.39/5.03 $less(0,$sum($uminus(x2),x2)) | (~spl8_23 | ~spl8_26)),
% 32.39/5.03 inference(resolution,[],[f705,f338])).
% 32.39/5.03 tff(f2315,plain,(
% 32.39/5.03 spl8_284 | ~spl8_13 | ~spl8_26),
% 32.39/5.03 inference(avatar_split_clause,[],[f2294,f291,f215,f2312])).
% 32.39/5.03 tff(f2312,plain,(
% 32.39/5.03 spl8_284 <=> $less(0,$sum($uminus(x2),sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_284])])).
% 32.39/5.03 tff(f2294,plain,(
% 32.39/5.03 $less(0,$sum($uminus(x2),sK2)) | (~spl8_13 | ~spl8_26)),
% 32.39/5.03 inference(resolution,[],[f705,f306])).
% 32.39/5.03 tff(f2310,plain,(
% 32.39/5.03 spl8_283 | ~spl8_17 | ~spl8_26),
% 32.39/5.03 inference(avatar_split_clause,[],[f2291,f291,f240,f2307])).
% 32.39/5.03 tff(f2307,plain,(
% 32.39/5.03 spl8_283 <=> $less(sK2,$sum($uminus(x2),x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_283])])).
% 32.39/5.03 tff(f2291,plain,(
% 32.39/5.03 $less(sK2,$sum($uminus(x2),x2)) | (~spl8_17 | ~spl8_26)),
% 32.39/5.03 inference(resolution,[],[f705,f323])).
% 32.39/5.03 tff(f2305,plain,(
% 32.39/5.03 ~spl8_282 | spl8_6 | ~spl8_26),
% 32.39/5.03 inference(avatar_split_clause,[],[f2292,f291,f173,f2302])).
% 32.39/5.03 tff(f2302,plain,(
% 32.39/5.03 spl8_282 <=> $less($sum($uminus(x2),x2),0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_282])])).
% 32.39/5.03 tff(f2292,plain,(
% 32.39/5.03 ~$less($sum($uminus(x2),x2),0) | (spl8_6 | ~spl8_26)),
% 32.39/5.03 inference(resolution,[],[f705,f267])).
% 32.39/5.03 tff(f2300,plain,(
% 32.39/5.03 ~spl8_281 | spl8_2 | ~spl8_26),
% 32.39/5.03 inference(avatar_split_clause,[],[f2295,f291,f153,f2297])).
% 32.39/5.03 tff(f2297,plain,(
% 32.39/5.03 spl8_281 <=> $less($sum($uminus(x2),sK2),0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_281])])).
% 32.39/5.03 tff(f2295,plain,(
% 32.39/5.03 ~$less($sum($uminus(x2),sK2),0) | (spl8_2 | ~spl8_26)),
% 32.39/5.03 inference(resolution,[],[f705,f192])).
% 32.39/5.03 tff(f2282,plain,(
% 32.39/5.03 spl8_280 | spl8_82 | spl8_238),
% 32.39/5.03 inference(avatar_split_clause,[],[f2277,f1928,f679,f2279])).
% 32.39/5.03 tff(f2279,plain,(
% 32.39/5.03 spl8_280 <=> sQ4_eqProxy(abs(0),$sum(x2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_280])])).
% 32.39/5.03 tff(f1928,plain,(
% 32.39/5.03 spl8_238 <=> $less($sum(x2,1),abs(0))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_238])])).
% 32.39/5.03 tff(f2277,plain,(
% 32.39/5.03 sQ4_eqProxy(abs(0),$sum(x2,1)) | (spl8_82 | spl8_238)),
% 32.39/5.03 inference(subsumption_resolution,[],[f2260,f1930])).
% 32.39/5.03 tff(f1930,plain,(
% 32.39/5.03 ~$less($sum(x2,1),abs(0)) | spl8_238),
% 32.39/5.03 inference(avatar_component_clause,[],[f1928])).
% 32.39/5.03 tff(f2260,plain,(
% 32.39/5.03 sQ4_eqProxy(abs(0),$sum(x2,1)) | $less($sum(x2,1),abs(0)) | spl8_82),
% 32.39/5.03 inference(resolution,[],[f680,f124])).
% 32.39/5.03 tff(f2276,plain,(
% 32.39/5.03 ~spl8_278 | spl8_279 | spl8_82),
% 32.39/5.03 inference(avatar_split_clause,[],[f2256,f679,f2273,f2269])).
% 32.39/5.03 tff(f2269,plain,(
% 32.39/5.03 spl8_278 <=> $less(abs(0),abs($sum(x2,1)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_278])])).
% 32.39/5.03 tff(f2273,plain,(
% 32.39/5.03 spl8_279 <=> $less($sum(x2,1),$uminus(abs(0)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_279])])).
% 32.39/5.03 tff(f2256,plain,(
% 32.39/5.03 $less($sum(x2,1),$uminus(abs(0))) | ~$less(abs(0),abs($sum(x2,1))) | spl8_82),
% 32.39/5.03 inference(resolution,[],[f680,f89])).
% 32.39/5.03 tff(f2267,plain,(
% 32.39/5.03 spl8_277 | spl8_82 | spl8_238),
% 32.39/5.03 inference(avatar_split_clause,[],[f2262,f1928,f679,f2264])).
% 32.39/5.03 tff(f2264,plain,(
% 32.39/5.03 spl8_277 <=> sQ4_eqProxy($sum(x2,1),abs(0))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_277])])).
% 32.39/5.03 tff(f2262,plain,(
% 32.39/5.03 sQ4_eqProxy($sum(x2,1),abs(0)) | (spl8_82 | spl8_238)),
% 32.39/5.03 inference(subsumption_resolution,[],[f2259,f1930])).
% 32.39/5.03 tff(f2259,plain,(
% 32.39/5.03 sQ4_eqProxy($sum(x2,1),abs(0)) | $less($sum(x2,1),abs(0)) | spl8_82),
% 32.39/5.03 inference(resolution,[],[f680,f124])).
% 32.39/5.03 tff(f2254,plain,(
% 32.39/5.03 spl8_276 | ~spl8_253),
% 32.39/5.03 inference(avatar_split_clause,[],[f2240,f2094,f2251])).
% 32.39/5.03 tff(f2251,plain,(
% 32.39/5.03 spl8_276 <=> $less(sK0,abs(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_276])])).
% 32.39/5.03 tff(f2094,plain,(
% 32.39/5.03 spl8_253 <=> $less(sK0,x2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_253])])).
% 32.39/5.03 tff(f2240,plain,(
% 32.39/5.03 $less(sK0,abs(x2)) | ~spl8_253),
% 32.39/5.03 inference(resolution,[],[f2096,f87])).
% 32.39/5.03 tff(f2096,plain,(
% 32.39/5.03 $less(sK0,x2) | ~spl8_253),
% 32.39/5.03 inference(avatar_component_clause,[],[f2094])).
% 32.39/5.03 tff(f2249,plain,(
% 32.39/5.03 ~spl8_275 | ~spl8_253),
% 32.39/5.03 inference(avatar_split_clause,[],[f2241,f2094,f2246])).
% 32.39/5.03 tff(f2246,plain,(
% 32.39/5.03 spl8_275 <=> $less(x2,$sum(sK0,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_275])])).
% 32.39/5.03 tff(f2241,plain,(
% 32.39/5.03 ~$less(x2,$sum(sK0,1)) | ~spl8_253),
% 32.39/5.03 inference(resolution,[],[f2096,f46])).
% 32.39/5.03 tff(f2239,plain,(
% 32.39/5.03 spl8_196 | spl8_274 | spl8_78),
% 32.39/5.03 inference(avatar_split_clause,[],[f2226,f641,f2236,f1624])).
% 32.39/5.03 tff(f1624,plain,(
% 32.39/5.03 spl8_196 <=> $less($sum(sK2,1),$uminus(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_196])])).
% 32.39/5.03 tff(f2236,plain,(
% 32.39/5.03 spl8_274 <=> sQ4_eqProxy($sum(sK2,1),$uminus(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_274])])).
% 32.39/5.03 tff(f2226,plain,(
% 32.39/5.03 sQ4_eqProxy($sum(sK2,1),$uminus(x2)) | $less($sum(sK2,1),$uminus(x2)) | spl8_78),
% 32.39/5.03 inference(resolution,[],[f643,f124])).
% 32.39/5.03 tff(f2234,plain,(
% 32.39/5.03 spl8_273 | spl8_196 | spl8_78),
% 32.39/5.03 inference(avatar_split_clause,[],[f2227,f641,f1624,f2231])).
% 32.39/5.03 tff(f2231,plain,(
% 32.39/5.03 spl8_273 <=> sQ4_eqProxy($uminus(x2),$sum(sK2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_273])])).
% 32.39/5.03 tff(f2227,plain,(
% 32.39/5.03 $less($sum(sK2,1),$uminus(x2)) | sQ4_eqProxy($uminus(x2),$sum(sK2,1)) | spl8_78),
% 32.39/5.03 inference(resolution,[],[f643,f124])).
% 32.39/5.03 tff(f2221,plain,(
% 32.39/5.03 ~spl8_271 | spl8_272 | spl8_73),
% 32.39/5.03 inference(avatar_split_clause,[],[f2193,f610,f2218,f2214])).
% 32.39/5.03 tff(f2214,plain,(
% 32.39/5.03 spl8_271 <=> $less(abs(sK2),abs($sum(x2,1)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_271])])).
% 32.39/5.03 tff(f2218,plain,(
% 32.39/5.03 spl8_272 <=> $less($sum(x2,1),$uminus(abs(sK2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_272])])).
% 32.39/5.03 tff(f2193,plain,(
% 32.39/5.03 $less($sum(x2,1),$uminus(abs(sK2))) | ~$less(abs(sK2),abs($sum(x2,1))) | spl8_73),
% 32.39/5.03 inference(resolution,[],[f611,f89])).
% 32.39/5.03 tff(f2212,plain,(
% 32.39/5.03 spl8_269 | spl8_270 | spl8_73),
% 32.39/5.03 inference(avatar_split_clause,[],[f2196,f610,f2209,f2204])).
% 32.39/5.03 tff(f2204,plain,(
% 32.39/5.03 spl8_269 <=> $less($sum(x2,1),abs(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_269])])).
% 32.39/5.03 tff(f2209,plain,(
% 32.39/5.03 spl8_270 <=> sQ4_eqProxy($sum(x2,1),abs(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_270])])).
% 32.39/5.03 tff(f2196,plain,(
% 32.39/5.03 sQ4_eqProxy($sum(x2,1),abs(sK2)) | $less($sum(x2,1),abs(sK2)) | spl8_73),
% 32.39/5.03 inference(resolution,[],[f611,f124])).
% 32.39/5.03 tff(f2207,plain,(
% 32.39/5.03 spl8_268 | spl8_269 | spl8_73),
% 32.39/5.03 inference(avatar_split_clause,[],[f2197,f610,f2204,f2200])).
% 32.39/5.03 tff(f2200,plain,(
% 32.39/5.03 spl8_268 <=> sQ4_eqProxy(abs(sK2),$sum(x2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_268])])).
% 32.39/5.03 tff(f2197,plain,(
% 32.39/5.03 $less($sum(x2,1),abs(sK2)) | sQ4_eqProxy(abs(sK2),$sum(x2,1)) | spl8_73),
% 32.39/5.03 inference(resolution,[],[f611,f124])).
% 32.39/5.03 tff(f2191,plain,(
% 32.39/5.03 spl8_267 | ~spl8_9 | ~spl8_23),
% 32.39/5.03 inference(avatar_split_clause,[],[f2151,f277,f197,f2188])).
% 32.39/5.03 tff(f2188,plain,(
% 32.39/5.03 spl8_267 <=> $less(0,$sum($uminus(sK2),x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_267])])).
% 32.39/5.03 tff(f2151,plain,(
% 32.39/5.03 $less(0,$sum($uminus(sK2),x2)) | (~spl8_9 | ~spl8_23)),
% 32.39/5.03 inference(resolution,[],[f548,f338])).
% 32.39/5.03 tff(f2186,plain,(
% 32.39/5.03 ~spl8_266 | spl8_6 | ~spl8_9),
% 32.39/5.03 inference(avatar_split_clause,[],[f2153,f197,f173,f2183])).
% 32.39/5.03 tff(f2183,plain,(
% 32.39/5.03 spl8_266 <=> $less($sum($uminus(sK2),x2),0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_266])])).
% 32.39/5.03 tff(f2153,plain,(
% 32.39/5.03 ~$less($sum($uminus(sK2),x2),0) | (spl8_6 | ~spl8_9)),
% 32.39/5.03 inference(resolution,[],[f548,f267])).
% 32.39/5.03 tff(f2181,plain,(
% 32.39/5.03 spl8_265 | ~spl8_9 | ~spl8_13),
% 32.39/5.03 inference(avatar_split_clause,[],[f2155,f215,f197,f2178])).
% 32.39/5.03 tff(f2178,plain,(
% 32.39/5.03 spl8_265 <=> $less(0,$sum($uminus(sK2),sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_265])])).
% 32.39/5.03 tff(f2155,plain,(
% 32.39/5.03 $less(0,$sum($uminus(sK2),sK2)) | (~spl8_9 | ~spl8_13)),
% 32.39/5.03 inference(resolution,[],[f548,f306])).
% 32.39/5.03 tff(f2176,plain,(
% 32.39/5.03 ~spl8_264 | spl8_2 | ~spl8_9),
% 32.39/5.03 inference(avatar_split_clause,[],[f2156,f197,f153,f2173])).
% 32.39/5.03 tff(f2173,plain,(
% 32.39/5.03 spl8_264 <=> $less($sum($uminus(sK2),sK2),0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_264])])).
% 32.39/5.03 tff(f2156,plain,(
% 32.39/5.03 ~$less($sum($uminus(sK2),sK2),0) | (spl8_2 | ~spl8_9)),
% 32.39/5.03 inference(resolution,[],[f548,f192])).
% 32.39/5.03 tff(f2171,plain,(
% 32.39/5.03 ~spl8_263 | spl8_4 | ~spl8_9),
% 32.39/5.03 inference(avatar_split_clause,[],[f2150,f197,f163,f2168])).
% 32.39/5.03 tff(f2168,plain,(
% 32.39/5.03 spl8_263 <=> $less($sum($uminus(sK2),$product(2,y2)),sK0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_263])])).
% 32.39/5.03 tff(f2150,plain,(
% 32.39/5.03 ~$less($sum($uminus(sK2),$product(2,y2)),sK0) | (spl8_4 | ~spl8_9)),
% 32.39/5.03 inference(resolution,[],[f548,f355])).
% 32.39/5.03 tff(f2166,plain,(
% 32.39/5.03 spl8_262 | ~spl8_9 | ~spl8_17),
% 32.39/5.03 inference(avatar_split_clause,[],[f2152,f240,f197,f2163])).
% 32.39/5.03 tff(f2163,plain,(
% 32.39/5.03 spl8_262 <=> $less(sK2,$sum($uminus(sK2),x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_262])])).
% 32.39/5.03 tff(f2152,plain,(
% 32.39/5.03 $less(sK2,$sum($uminus(sK2),x2)) | (~spl8_9 | ~spl8_17)),
% 32.39/5.03 inference(resolution,[],[f548,f323])).
% 32.39/5.03 tff(f2161,plain,(
% 32.39/5.03 ~spl8_261 | spl8_3 | ~spl8_9),
% 32.39/5.03 inference(avatar_split_clause,[],[f2154,f197,f158,f2158])).
% 32.39/5.03 tff(f2158,plain,(
% 32.39/5.03 spl8_261 <=> $less($sum($uminus(sK2),x2),sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_261])])).
% 32.39/5.03 tff(f2154,plain,(
% 32.39/5.03 ~$less($sum($uminus(sK2),x2),sK2) | (spl8_3 | ~spl8_9)),
% 32.39/5.03 inference(resolution,[],[f548,f231])).
% 32.39/5.03 tff(f2143,plain,(
% 32.39/5.03 spl8_260 | ~spl8_246),
% 32.39/5.03 inference(avatar_split_clause,[],[f2129,f2000,f2140])).
% 32.39/5.03 tff(f2140,plain,(
% 32.39/5.03 spl8_260 <=> $less(sK0,abs(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_260])])).
% 32.39/5.03 tff(f2129,plain,(
% 32.39/5.03 $less(sK0,abs(sK2)) | ~spl8_246),
% 32.39/5.03 inference(resolution,[],[f2002,f87])).
% 32.39/5.03 tff(f2138,plain,(
% 32.39/5.03 ~spl8_259 | ~spl8_246),
% 32.39/5.03 inference(avatar_split_clause,[],[f2130,f2000,f2135])).
% 32.39/5.03 tff(f2135,plain,(
% 32.39/5.03 spl8_259 <=> $less(sK2,$sum(sK0,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_259])])).
% 32.39/5.03 tff(f2130,plain,(
% 32.39/5.03 ~$less(sK2,$sum(sK0,1)) | ~spl8_246),
% 32.39/5.03 inference(resolution,[],[f2002,f46])).
% 32.39/5.03 tff(f2127,plain,(
% 32.39/5.03 spl8_258 | spl8_255 | spl8_60),
% 32.39/5.03 inference(avatar_split_clause,[],[f2102,f515,f2110,f2124])).
% 32.39/5.03 tff(f2124,plain,(
% 32.39/5.03 spl8_258 <=> sQ4_eqProxy($sum(sK2,1),abs(0))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_258])])).
% 32.39/5.03 tff(f2110,plain,(
% 32.39/5.03 spl8_255 <=> $less($sum(sK2,1),abs(0))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_255])])).
% 32.39/5.03 tff(f2102,plain,(
% 32.39/5.03 $less($sum(sK2,1),abs(0)) | sQ4_eqProxy($sum(sK2,1),abs(0)) | spl8_60),
% 32.39/5.03 inference(resolution,[],[f516,f124])).
% 32.39/5.03 tff(f2122,plain,(
% 32.39/5.03 ~spl8_256 | spl8_257 | spl8_60),
% 32.39/5.03 inference(avatar_split_clause,[],[f2099,f515,f2119,f2115])).
% 32.39/5.03 tff(f2115,plain,(
% 32.39/5.03 spl8_256 <=> $less(abs(0),abs($sum(sK2,1)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_256])])).
% 32.39/5.03 tff(f2119,plain,(
% 32.39/5.03 spl8_257 <=> $less($sum(sK2,1),$uminus(abs(0)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_257])])).
% 32.39/5.03 tff(f2099,plain,(
% 32.39/5.03 $less($sum(sK2,1),$uminus(abs(0))) | ~$less(abs(0),abs($sum(sK2,1))) | spl8_60),
% 32.39/5.03 inference(resolution,[],[f516,f89])).
% 32.39/5.03 tff(f2113,plain,(
% 32.39/5.03 spl8_254 | spl8_255 | spl8_60),
% 32.39/5.03 inference(avatar_split_clause,[],[f2103,f515,f2110,f2106])).
% 32.39/5.03 tff(f2106,plain,(
% 32.39/5.03 spl8_254 <=> sQ4_eqProxy(abs(0),$sum(sK2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_254])])).
% 32.39/5.03 tff(f2103,plain,(
% 32.39/5.03 $less($sum(sK2,1),abs(0)) | sQ4_eqProxy(abs(0),$sum(sK2,1)) | spl8_60),
% 32.39/5.03 inference(resolution,[],[f516,f124])).
% 32.39/5.03 tff(f2097,plain,(
% 32.39/5.03 spl8_253 | ~spl8_23 | ~spl8_137),
% 32.39/5.03 inference(avatar_split_clause,[],[f2092,f1132,f277,f2094])).
% 32.39/5.03 tff(f2092,plain,(
% 32.39/5.03 $less(sK0,x2) | (~spl8_23 | ~spl8_137)),
% 32.39/5.03 inference(resolution,[],[f339,f1134])).
% 32.39/5.03 tff(f2083,plain,(
% 32.39/5.03 spl8_252 | ~spl8_13 | ~spl8_23),
% 32.39/5.03 inference(avatar_split_clause,[],[f2070,f277,f215,f2080])).
% 32.39/5.03 tff(f2080,plain,(
% 32.39/5.03 spl8_252 <=> $less(0,$sum(sK2,x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_252])])).
% 32.39/5.03 tff(f2070,plain,(
% 32.39/5.03 $less(0,$sum(sK2,x2)) | (~spl8_13 | ~spl8_23)),
% 32.39/5.03 inference(resolution,[],[f338,f310])).
% 32.39/5.03 tff(f2078,plain,(
% 32.39/5.03 spl8_251 | ~spl8_23),
% 32.39/5.03 inference(avatar_split_clause,[],[f2071,f277,f2075])).
% 32.39/5.03 tff(f2075,plain,(
% 32.39/5.03 spl8_251 <=> $less(0,$sum(x2,x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_251])])).
% 32.39/5.03 tff(f2071,plain,(
% 32.39/5.03 $less(0,$sum(x2,x2)) | ~spl8_23),
% 32.39/5.03 inference(resolution,[],[f338,f342])).
% 32.39/5.03 tff(f2042,plain,(
% 32.39/5.03 spl8_250 | ~spl8_13 | ~spl8_17),
% 32.39/5.03 inference(avatar_split_clause,[],[f2021,f240,f215,f2039])).
% 32.39/5.03 tff(f2039,plain,(
% 32.39/5.03 spl8_250 <=> $less(sK2,$sum(sK2,x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_250])])).
% 32.39/5.03 tff(f2021,plain,(
% 32.39/5.03 $less(sK2,$sum(sK2,x2)) | (~spl8_13 | ~spl8_17)),
% 32.39/5.03 inference(resolution,[],[f323,f310])).
% 32.39/5.03 tff(f2037,plain,(
% 32.39/5.03 spl8_249 | ~spl8_17 | ~spl8_74),
% 32.39/5.03 inference(avatar_split_clause,[],[f2006,f615,f240,f2034])).
% 32.39/5.03 tff(f2034,plain,(
% 32.39/5.03 spl8_249 <=> $less(sK2,abs(abs(sK2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_249])])).
% 32.39/5.03 tff(f615,plain,(
% 32.39/5.03 spl8_74 <=> $less(x2,abs(abs(sK2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_74])])).
% 32.39/5.03 tff(f2006,plain,(
% 32.39/5.03 $less(sK2,abs(abs(sK2))) | (~spl8_17 | ~spl8_74)),
% 32.39/5.03 inference(resolution,[],[f323,f616])).
% 32.39/5.03 tff(f616,plain,(
% 32.39/5.03 $less(x2,abs(abs(sK2))) | ~spl8_74),
% 32.39/5.03 inference(avatar_component_clause,[],[f615])).
% 32.39/5.03 tff(f2032,plain,(
% 32.39/5.03 spl8_248 | ~spl8_17 | ~spl8_20),
% 32.39/5.03 inference(avatar_split_clause,[],[f2004,f254,f240,f2029])).
% 32.39/5.03 tff(f2029,plain,(
% 32.39/5.03 spl8_248 <=> $less(sK2,abs(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_248])])).
% 32.39/5.03 tff(f2004,plain,(
% 32.39/5.03 $less(sK2,abs(sK2)) | (~spl8_17 | ~spl8_20)),
% 32.39/5.03 inference(resolution,[],[f323,f255])).
% 32.39/5.03 tff(f2027,plain,(
% 32.39/5.03 spl8_247 | ~spl8_17 | ~spl8_23),
% 32.39/5.03 inference(avatar_split_clause,[],[f2022,f277,f240,f2024])).
% 32.39/5.03 tff(f2024,plain,(
% 32.39/5.03 spl8_247 <=> $less(sK2,$sum(x2,x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_247])])).
% 32.39/5.03 tff(f2022,plain,(
% 32.39/5.03 $less(sK2,$sum(x2,x2)) | (~spl8_17 | ~spl8_23)),
% 32.39/5.03 inference(resolution,[],[f323,f342])).
% 32.39/5.03 tff(f2003,plain,(
% 32.39/5.03 spl8_246 | ~spl8_13 | ~spl8_137),
% 32.39/5.03 inference(avatar_split_clause,[],[f1998,f1132,f215,f2000])).
% 32.39/5.03 tff(f1998,plain,(
% 32.39/5.03 $less(sK0,sK2) | (~spl8_13 | ~spl8_137)),
% 32.39/5.03 inference(resolution,[],[f307,f1134])).
% 32.39/5.03 tff(f1989,plain,(
% 32.39/5.03 spl8_245 | ~spl8_13 | ~spl8_63),
% 32.39/5.03 inference(avatar_split_clause,[],[f1949,f529,f215,f1986])).
% 32.39/5.03 tff(f1986,plain,(
% 32.39/5.03 spl8_245 <=> $less(0,abs(abs(0)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_245])])).
% 32.39/5.03 tff(f529,plain,(
% 32.39/5.03 spl8_63 <=> $less(sK2,abs(abs(0)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_63])])).
% 32.39/5.03 tff(f1949,plain,(
% 32.39/5.03 $less(0,abs(abs(0))) | (~spl8_13 | ~spl8_63)),
% 32.39/5.03 inference(resolution,[],[f306,f530])).
% 32.39/5.03 tff(f530,plain,(
% 32.39/5.03 $less(sK2,abs(abs(0))) | ~spl8_63),
% 32.39/5.03 inference(avatar_component_clause,[],[f529])).
% 32.39/5.03 tff(f1984,plain,(
% 32.39/5.03 spl8_244 | ~spl8_13 | ~spl8_23),
% 32.39/5.03 inference(avatar_split_clause,[],[f1967,f277,f215,f1981])).
% 32.39/5.03 tff(f1981,plain,(
% 32.39/5.03 spl8_244 <=> $less(0,$sum(x2,sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_244])])).
% 32.39/5.03 tff(f1967,plain,(
% 32.39/5.03 $less(0,$sum(x2,sK2)) | (~spl8_13 | ~spl8_23)),
% 32.39/5.03 inference(resolution,[],[f306,f342])).
% 32.39/5.03 tff(f1979,plain,(
% 32.39/5.03 spl8_243 | ~spl8_13),
% 32.39/5.03 inference(avatar_split_clause,[],[f1966,f215,f1976])).
% 32.39/5.03 tff(f1976,plain,(
% 32.39/5.03 spl8_243 <=> $less(0,$sum(sK2,sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_243])])).
% 32.39/5.03 tff(f1966,plain,(
% 32.39/5.03 $less(0,$sum(sK2,sK2)) | ~spl8_13),
% 32.39/5.03 inference(resolution,[],[f306,f310])).
% 32.39/5.03 tff(f1974,plain,(
% 32.39/5.03 spl8_242 | ~spl8_10 | ~spl8_13),
% 32.39/5.03 inference(avatar_split_clause,[],[f1947,f215,f201,f1971])).
% 32.39/5.03 tff(f1971,plain,(
% 32.39/5.03 spl8_242 <=> $less(0% (13678)------------------------------
% 32.39/5.03 % (13678)------------------------------
% 32.39/5.03 ,abs(0))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_242])])).
% 32.39/5.03 tff(f1947,plain,(
% 32.39/5.03 $less(0,abs(0)) | (~spl8_10 | ~spl8_13)),
% 32.39/5.03 inference(resolution,[],[f306,f202])).
% 32.39/5.03 tff(f1945,plain,(
% 32.39/5.03 spl8_241 | spl8_102),
% 32.39/5.03 inference(avatar_split_clause,[],[f1926,f843,f1942])).
% 32.39/5.03 tff(f1942,plain,(
% 32.39/5.03 spl8_241 <=> $less(0,$sum(2,x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_241])])).
% 32.39/5.03 tff(f1926,plain,(
% 32.39/5.03 $less(0,$sum(2,x2)) | spl8_102),
% 32.39/5.03 inference(evaluation,[],[f1921])).
% 32.39/5.03 tff(f1921,plain,(
% 32.39/5.03 $less(0,$sum($sum(x2,1),1)) | spl8_102),
% 32.39/5.03 inference(resolution,[],[f845,f38])).
% 32.39/5.03 tff(f1940,plain,(
% 32.39/5.03 spl8_240 | spl8_102),
% 32.39/5.03 inference(avatar_split_clause,[],[f1918,f843,f1937])).
% 32.39/5.03 tff(f1937,plain,(
% 32.39/5.03 spl8_240 <=> sQ4_eqProxy(abs($sum(x2,1)),$sum(x2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_240])])).
% 32.39/5.03 tff(f1918,plain,(
% 32.39/5.03 sQ4_eqProxy(abs($sum(x2,1)),$sum(x2,1)) | spl8_102),
% 32.39/5.03 inference(resolution,[],[f845,f127])).
% 32.39/5.03 tff(f1935,plain,(
% 32.39/5.03 ~spl8_238 | spl8_239 | spl8_102),
% 32.39/5.03 inference(avatar_split_clause,[],[f1920,f843,f1932,f1928])).
% 32.39/5.03 tff(f1932,plain,(
% 32.39/5.03 spl8_239 <=> $less(0,$uminus($sum(x2,1)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_239])])).
% 32.39/5.03 tff(f1920,plain,(
% 32.39/5.03 ~$less($sum(x2,1),abs(0)) | $less(0,$uminus($sum(x2,1))) | spl8_102),
% 32.39/5.03 inference(resolution,[],[f845,f89])).
% 32.39/5.03 tff(f1917,plain,(
% 32.39/5.03 spl8_237 | spl8_92),
% 32.39/5.03 inference(avatar_split_clause,[],[f1903,f767,f1914])).
% 32.39/5.03 tff(f1914,plain,(
% 32.39/5.03 spl8_237 <=> $less(1,$sum(2,x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_237])])).
% 32.39/5.03 tff(f1903,plain,(
% 32.39/5.03 $less(1,$sum(2,x2)) | spl8_92),
% 32.39/5.03 inference(evaluation,[],[f1897])).
% 32.39/5.03 tff(f1897,plain,(
% 32.39/5.03 $less(1,$sum($sum(x2,1),1)) | spl8_92),
% 32.39/5.03 inference(resolution,[],[f769,f38])).
% 32.39/5.03 tff(f1912,plain,(
% 32.39/5.03 ~spl8_235 | spl8_236 | spl8_92),
% 32.39/5.03 inference(avatar_split_clause,[],[f1896,f767,f1909,f1905])).
% 32.39/5.03 tff(f1905,plain,(
% 32.39/5.03 spl8_235 <=> $less($sum(x2,1),abs(1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_235])])).
% 32.39/5.03 tff(f1909,plain,(
% 32.39/5.03 spl8_236 <=> $less(1,$uminus($sum(x2,1)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_236])])).
% 32.39/5.03 tff(f1896,plain,(
% 32.39/5.03 $less(1,$uminus($sum(x2,1))) | ~$less($sum(x2,1),abs(1)) | spl8_92),
% 32.39/5.03 inference(resolution,[],[f769,f89])).
% 32.39/5.03 tff(f1895,plain,(
% 32.39/5.03 spl8_233 | ~spl8_234 | spl8_89),
% 32.39/5.03 inference(avatar_split_clause,[],[f1874,f738,f1892,f1888])).
% 32.39/5.03 tff(f1888,plain,(
% 32.39/5.03 spl8_233 <=> $less(1,$uminus($sum(sK2,1)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_233])])).
% 32.39/5.03 tff(f1892,plain,(
% 32.39/5.03 spl8_234 <=> $less($sum(sK2,1),abs(1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_234])])).
% 32.39/5.03 tff(f1874,plain,(
% 32.39/5.03 $less(1,$uminus($sum(sK2,1))) | ~$less($sum(sK2,1),abs(1)) | spl8_89),
% 32.39/5.03 inference(resolution,[],[f740,f89])).
% 32.39/5.03 tff(f1886,plain,(
% 32.39/5.03 spl8_232 | spl8_89),
% 32.39/5.03 inference(avatar_split_clause,[],[f1880,f738,f1883])).
% 32.39/5.03 tff(f1883,plain,(
% 32.39/5.03 spl8_232 <=> $less(1,$sum(2,sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_232])])).
% 32.39/5.03 tff(f1880,plain,(
% 32.39/5.03 $less(1,$sum(2,sK2)) | spl8_89),
% 32.39/5.03 inference(evaluation,[],[f1875])).
% 32.39/5.03 tff(f1875,plain,(
% 32.39/5.03 $less(1,$sum($sum(sK2,1),1)) | spl8_89),
% 32.39/5.03 inference(resolution,[],[f740,f38])).
% 32.39/5.03 tff(f1873,plain,(
% 32.39/5.03 ~spl8_231 | ~spl8_86),
% 32.39/5.03 inference(avatar_split_clause,[],[f1863,f707,f1870])).
% 32.39/5.03 tff(f1870,plain,(
% 32.39/5.03 spl8_231 <=> $less(abs($uminus(x2)),1)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_231])])).
% 32.39/5.03 tff(f707,plain,(
% 32.39/5.03 spl8_86 <=> $less(0,abs($uminus(x2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_86])])).
% 32.39/5.03 tff(f1863,plain,(
% 32.39/5.03 ~$less(abs($uminus(x2)),1) | ~spl8_86),
% 32.39/5.03 inference(evaluation,[],[f1857])).
% 32.39/5.03 tff(f1857,plain,(
% 32.39/5.03 ~$less(abs($uminus(x2)),$sum(0,1)) | ~spl8_86),
% 32.39/5.03 inference(resolution,[],[f709,f46])).
% 32.39/5.03 tff(f709,plain,(
% 32.39/5.03 $less(0,abs($uminus(x2))) | ~spl8_86),
% 32.39/5.03 inference(avatar_component_clause,[],[f707])).
% 32.39/5.03 tff(f1868,plain,(
% 32.39/5.03 spl8_230 | ~spl8_86),
% 32.39/5.03 inference(avatar_split_clause,[],[f1856,f707,f1865])).
% 32.39/5.03 tff(f1865,plain,(
% 32.39/5.03 spl8_230 <=> $less(0,abs(abs($uminus(x2))))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_230])])).
% 32.39/5.03 tff(f1856,plain,(
% 32.39/5.03 $less(0,abs(abs($uminus(x2)))) | ~spl8_86),
% 32.39/5.03 inference(resolution,[],[f709,f87])).
% 32.39/5.03 tff(f1854,plain,(
% 32.39/5.03 spl8_229 | ~spl8_84),
% 32.39/5.03 inference(avatar_split_clause,[],[f1835,f689,f1851])).
% 32.39/5.03 tff(f1851,plain,(
% 32.39/5.03 spl8_229 <=> $less(x2,abs(abs(abs(0))))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_229])])).
% 32.39/5.03 tff(f689,plain,(
% 32.39/5.03 spl8_84 <=> $less(x2,abs(abs(0)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_84])])).
% 32.39/5.03 tff(f1835,plain,(
% 32.39/5.03 $less(x2,abs(abs(abs(0)))) | ~spl8_84),
% 32.39/5.03 inference(resolution,[],[f690,f87])).
% 32.39/5.03 tff(f690,plain,(
% 32.39/5.03 $less(x2,abs(abs(0))) | ~spl8_84),
% 32.39/5.03 inference(avatar_component_clause,[],[f689])).
% 32.39/5.03 tff(f1849,plain,(
% 32.39/5.03 ~spl8_228 | ~spl8_84),
% 32.39/5.03 inference(avatar_split_clause,[],[f1836,f689,f1846])).
% 32.39/5.03 tff(f1846,plain,(
% 32.39/5.03 spl8_228 <=> $less(abs(abs(0)),$sum(x2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_228])])).
% 32.39/5.03 tff(f1836,plain,(
% 32.39/5.03 ~$less(abs(abs(0)),$sum(x2,1)) | ~spl8_84),
% 32.39/5.03 inference(resolution,[],[f690,f46])).
% 32.39/5.03 tff(f1844,plain,(
% 32.39/5.03 ~spl8_227 | spl8_3 | ~spl8_84),
% 32.39/5.03 inference(avatar_split_clause,[],[f1833,f689,f158,f1841])).
% 32.39/5.03 tff(f1841,plain,(
% 32.39/5.03 spl8_227 <=> $less(abs(abs(0)),sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_227])])).
% 32.39/5.03 tff(f1833,plain,(
% 32.39/5.03 ~$less(abs(abs(0)),sK2) | (spl8_3 | ~spl8_84)),
% 32.39/5.03 inference(resolution,[],[f690,f231])).
% 32.39/5.03 tff(f1831,plain,(
% 32.39/5.03 ~spl8_226 | ~spl8_77),
% 32.39/5.03 inference(avatar_split_clause,[],[f1818,f636,f1828])).
% 32.39/5.03 tff(f1828,plain,(
% 32.39/5.03 spl8_226 <=> $less(abs($uminus(x2)),$sum(sK2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_226])])).
% 32.39/5.03 tff(f636,plain,(
% 32.39/5.03 spl8_77 <=> $less(sK2,abs($uminus(x2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_77])])).
% 32.39/5.03 tff(f1818,plain,(
% 32.39/5.03 ~$less(abs($uminus(x2)),$sum(sK2,1)) | ~spl8_77),
% 32.39/5.03 inference(resolution,[],[f638,f46])).
% 32.39/5.03 tff(f638,plain,(
% 32.39/5.03 $less(sK2,abs($uminus(x2))) | ~spl8_77),
% 32.39/5.03 inference(avatar_component_clause,[],[f636])).
% 32.39/5.03 tff(f1826,plain,(
% 32.39/5.03 spl8_225 | ~spl8_77),
% 32.39/5.03 inference(avatar_split_clause,[],[f1817,f636,f1823])).
% 32.39/5.03 tff(f1823,plain,(
% 32.39/5.03 spl8_225 <=> $less(sK2,abs(abs($uminus(x2))))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_225])])).
% 32.39/5.03 tff(f1817,plain,(
% 32.39/5.03 $less(sK2,abs(abs($uminus(x2)))) | ~spl8_77),
% 32.39/5.03 inference(resolution,[],[f638,f87])).
% 32.39/5.03 tff(f1814,plain,(
% 32.39/5.03 ~spl8_224 | ~spl8_74),
% 32.39/5.03 inference(avatar_split_clause,[],[f1796,f615,f1811])).
% 32.39/5.03 tff(f1811,plain,(
% 32.39/5.03 spl8_224 <=> $less(abs(abs(sK2)),$sum(x2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_224])])).
% 32.39/5.03 tff(f1796,plain,(
% 32.39/5.03 ~$less(abs(abs(sK2)),$sum(x2,1)) | ~spl8_74),
% 32.39/5.03 inference(resolution,[],[f616,f46])).
% 32.39/5.03 tff(f1809,plain,(
% 32.39/5.03 spl8_223 | ~spl8_74),
% 32.39/5.03 inference(avatar_split_clause,[],[f1795,f615,f1806])).
% 32.39/5.03 tff(f1806,plain,(
% 32.39/5.03 spl8_223 <=> $less(x2,abs(abs(abs(sK2))))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_223])])).
% 32.39/5.03 tff(f1795,plain,(
% 32.39/5.03 $less(x2,abs(abs(abs(sK2)))) | ~spl8_74),
% 32.39/5.03 inference(resolution,[],[f616,f87])).
% 32.39/5.03 tff(f1804,plain,(
% 32.39/5.03 ~spl8_222 | spl8_3 | ~spl8_74),
% 32.39/5.03 inference(avatar_split_clause,[],[f1793,f615,f158,f1801])).
% 32.39/5.03 tff(f1801,plain,(
% 32.39/5.03 spl8_222 <=> $less(abs(abs(sK2)),sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_222])])).
% 32.39/5.03 tff(f1793,plain,(
% 32.39/5.03 ~$less(abs(abs(sK2)),sK2) | (spl8_3 | ~spl8_74)),
% 32.39/5.03 inference(resolution,[],[f616,f231])).
% 32.39/5.03 tff(f1791,plain,(
% 32.39/5.03 spl8_221 | spl8_217 | spl8_204),
% 32.39/5.03 inference(avatar_split_clause,[],[f1762,f1679,f1770,f1788])).
% 32.39/5.03 tff(f1788,plain,(
% 32.39/5.03 spl8_221 <=> sQ4_eqProxy(x2,4)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_221])])).
% 32.39/5.03 tff(f1762,plain,(
% 32.39/5.03 sQ4_eqProxy(x2,4) | $less(4,x2) | spl8_204),
% 32.39/5.03 inference(resolution,[],[f1681,f124])).
% 32.39/5.03 tff(f1786,plain,(
% 32.39/5.03 spl8_219 | ~spl8_220 | spl8_204),
% 32.39/5.03 inference(avatar_split_clause,[],[f1758,f1679,f1783,f1779])).
% 32.39/5.03 tff(f1779,plain,(
% 32.39/5.03 spl8_219 <=> $less(4,$uminus(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_219])])).
% 32.39/5.03 tff(f1783,plain,(
% 32.39/5.03 spl8_220 <=> $less(x2,abs(4))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_220])])).
% 32.39/5.03 tff(f1758,plain,(
% 32.39/5.03 ~$less(x2,abs(4)) | $less(4,$uminus(x2)) | spl8_204),
% 32.39/5.03 inference(resolution,[],[f1681,f89])).
% 32.39/5.03 tff(f1777,plain,(
% 32.39/5.03 spl8_217 | spl8_218 | spl8_204),
% 32.39/5.03 inference(avatar_split_clause,[],[f1761,f1679,f1774,f1770])).
% 32.39/5.03 tff(f1774,plain,(
% 32.39/5.03 spl8_218 <=> sQ4_eqProxy(4,x2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_218])])).
% 32.39/5.03 tff(f1761,plain,(
% 32.39/5.03 sQ4_eqProxy(4,x2) | $less(4,x2) | spl8_204),
% 32.39/5.03 inference(resolution,[],[f1681,f124])).
% 32.39/5.03 tff(f1768,plain,(
% 32.39/5.03 spl8_216 | spl8_204),
% 32.39/5.03 inference(avatar_split_clause,[],[f1759,f1679,f1765])).
% 32.39/5.03 tff(f1765,plain,(
% 32.39/5.03 spl8_216 <=> $less(4,$sum(x2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_216])])).
% 32.39/5.03 tff(f1759,plain,(
% 32.39/5.03 $less(4,$sum(x2,1)) | spl8_204),
% 32.39/5.03 inference(resolution,[],[f1681,f38])).
% 32.39/5.03 tff(f1757,plain,(
% 32.39/5.03 spl8_215 | ~spl8_67),
% 32.39/5.03 inference(avatar_split_clause,[],[f1740,f556,f1754])).
% 32.39/5.03 tff(f1754,plain,(
% 32.39/5.03 spl8_215 <=> $less(0,abs(abs($uminus(sK2))))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_215])])).
% 32.39/5.03 tff(f556,plain,(
% 32.39/5.03 spl8_67 <=> $less(0,abs($uminus(sK2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_67])])).
% 32.39/5.03 tff(f1740,plain,(
% 32.39/5.03 $less(0,abs(abs($uminus(sK2)))) | ~spl8_67),
% 32.39/5.03 inference(resolution,[],[f558,f87])).
% 32.39/5.03 tff(f558,plain,(
% 32.39/5.03 $less(0,abs($uminus(sK2))) | ~spl8_67),
% 32.39/5.03 inference(avatar_component_clause,[],[f556])).
% 32.39/5.03 tff(f1752,plain,(
% 32.39/5.03 ~spl8_214 | ~spl8_67),
% 32.39/5.03 inference(avatar_split_clause,[],[f1747,f556,f1749])).
% 32.39/5.03 tff(f1749,plain,(
% 32.39/5.03 spl8_214 <=> $less(abs($uminus(sK2)),1)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_214])])).
% 32.39/5.03 tff(f1747,plain,(
% 32.39/5.03 ~$less(abs($uminus(sK2)),1) | ~spl8_67),
% 32.39/5.03 inference(evaluation,[],[f1741])).
% 32.39/5.03 tff(f1741,plain,(
% 32.39/5.03 ~$less(abs($uminus(sK2)),$sum(0,1)) | ~spl8_67),
% 32.39/5.03 inference(resolution,[],[f558,f46])).
% 32.39/5.03 tff(f1738,plain,(
% 32.39/5.03 ~spl8_213 | ~spl8_63),
% 32.39/5.03 inference(avatar_split_clause,[],[f1725,f529,f1735])).
% 32.39/5.03 tff(f1735,plain,(
% 32.39/5.03 spl8_213 <=> $less(abs(abs(0)),$sum(sK2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_213])])).
% 32.39/5.03 tff(f1725,plain,(
% 32.39/5.03 ~$less(abs(abs(0)),$sum(sK2,1)) | ~spl8_63),
% 32.39/5.03 inference(resolution,[],[f530,f46])).
% 32.39/5.03 tff(f1733,plain,(
% 32.39/5.03 spl8_212 | ~spl8_63),
% 32.39/5.03 inference(avatar_split_clause,[],[f1724,f529,f1730])).
% 32.39/5.03 tff(f1730,plain,(
% 32.39/5.03 spl8_212 <=> $less(sK2,abs(abs(abs(0))))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_212])])).
% 32.39/5.03 tff(f1724,plain,(
% 32.39/5.03 $less(sK2,abs(abs(abs(0)))) | ~spl8_63),
% 32.39/5.03 inference(resolution,[],[f530,f87])).
% 32.39/5.03 tff(f1721,plain,(
% 32.39/5.03 spl8_211 | spl8_207 | spl8_189),
% 32.39/5.03 inference(avatar_split_clause,[],[f1692,f1573,f1699,f1718])).
% 32.39/5.03 tff(f1718,plain,(
% 32.39/5.03 spl8_211 <=> sQ4_eqProxy(sK2,4)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_211])])).
% 32.39/5.03 tff(f1692,plain,(
% 32.39/5.03 $less(4,sK2) | sQ4_eqProxy(sK2,4) | spl8_189),
% 32.39/5.03 inference(resolution,[],[f1575,f124])).
% 32.39/5.03 tff(f1716,plain,(
% 32.39/5.03 ~spl8_209 | spl8_210 | spl8_189),
% 32.39/5.03 inference(avatar_split_clause,[],[f1688,f1573,f1713,f1709])).
% 32.39/5.03 tff(f1709,plain,(
% 32.39/5.03 spl8_209 <=> $less(sK2,abs(4))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_209])])).
% 32.39/5.03 tff(f1713,plain,(
% 32.39/5.03 spl8_210 <=> $less(4,$uminus(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_210])])).
% 32.39/5.03 tff(f1688,plain,(
% 32.39/5.03 ~$less(sK2,abs(4)) | $less(4,$uminus(sK2)) | spl8_189),
% 32.39/5.03 inference(resolution,[],[f1575,f89])).
% 32.39/5.03 tff(f1707,plain,(
% 32.39/5.03 spl8_208 | spl8_189),
% 32.39/5.03 inference(avatar_split_clause,[],[f1689,f1573,f1704])).
% 32.39/5.03 tff(f1704,plain,(
% 32.39/5.03 spl8_208 <=> $less(4,$sum(sK2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_208])])).
% 32.39/5.03 tff(f1689,plain,(
% 32.39/5.03 $less(4,$sum(sK2,1)) | spl8_189),
% 32.39/5.03 inference(resolution,[],[f1575,f38])).
% 32.39/5.03 tff(f1702,plain,(
% 32.39/5.03 spl8_206 | spl8_207 | spl8_189),
% 32.39/5.03 inference(avatar_split_clause,[],[f1691,f1573,f1699,f1695])).
% 32.39/5.03 tff(f1695,plain,(
% 32.39/5.03 spl8_206 <=> sQ4_eqProxy(4,sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_206])])).
% 32.39/5.03 tff(f1691,plain,(
% 32.39/5.03 sQ4_eqProxy(4,sK2) | $less(4,sK2) | spl8_189),
% 32.39/5.03 inference(resolution,[],[f1575,f124])).
% 32.39/5.03 tff(f1687,plain,(
% 32.39/5.03 spl8_205 | ~spl8_176),
% 32.39/5.03 inference(avatar_split_clause,[],[f1672,f1484,f1684])).
% 32.39/5.03 tff(f1684,plain,(
% 32.39/5.03 spl8_205 <=> $less(3,abs(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_205])])).
% 32.39/5.03 tff(f1484,plain,(
% 32.39/5.03 spl8_176 <=> $less(3,x2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_176])])).
% 32.39/5.03 tff(f1672,plain,(
% 32.39/5.03 $less(3,abs(x2)) | ~spl8_176),
% 32.39/5.03 inference(resolution,[],[f1486,f87])).
% 32.39/5.03 tff(f1486,plain,(
% 32.39/5.03 $less(3,x2) | ~spl8_176),
% 32.39/5.03 inference(avatar_component_clause,[],[f1484])).
% 32.39/5.03 tff(f1682,plain,(
% 32.39/5.03 ~spl8_204 | ~spl8_176),
% 32.39/5.03 inference(avatar_split_clause,[],[f1677,f1484,f1679])).
% 32.39/5.03 tff(f1677,plain,(
% 32.39/5.03 ~$less(x2,4) | ~spl8_176),
% 32.39/5.03 inference(evaluation,[],[f1673])).
% 32.39/5.03 tff(f1673,plain,(
% 32.39/5.03 ~$less(x2,$sum(3,1)) | ~spl8_176),
% 32.39/5.03 inference(resolution,[],[f1486,f46])).
% 32.39/5.03 tff(f1671,plain,(
% 32.39/5.03 ~spl8_203 | spl8_4 | ~spl8_23),
% 32.39/5.03 inference(avatar_split_clause,[],[f1648,f277,f163,f1668])).
% 32.39/5.03 tff(f1668,plain,(
% 32.39/5.03 spl8_203 <=> $less($sum(x2,$product(2,y2)),sK0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_203])])).
% 32.39/5.03 tff(f1648,plain,(
% 32.39/5.03 ~$less($sum(x2,$product(2,y2)),sK0) | (spl8_4 | ~spl8_23)),
% 32.39/5.03 inference(resolution,[],[f342,f355])).
% 32.39/5.03 tff(f1666,plain,(
% 32.39/5.03 ~spl8_202 | spl8_6 | ~spl8_23),
% 32.39/5.03 inference(avatar_split_clause,[],[f1649,f277,f173,f1663])).
% 32.39/5.03 tff(f1663,plain,(
% 32.39/5.03 spl8_202 <=> $less($sum(x2,x2),0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_202])])).
% 32.39/5.03 tff(f1649,plain,(
% 32.39/5.03 ~$less($sum(x2,x2),0) | (spl8_6 | ~spl8_23)),
% 32.39/5.03 inference(resolution,[],[f342,f267])).
% 32.39/5.03 tff(f1661,plain,(
% 32.39/5.03 ~spl8_201 | spl8_2 | ~spl8_23),
% 32.39/5.03 inference(avatar_split_clause,[],[f1651,f277,f153,f1658])).
% 32.39/5.03 tff(f1658,plain,(
% 32.39/5.03 spl8_201 <=> $less($sum(x2,sK2),0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_201])])).
% 32.39/5.03 tff(f1651,plain,(
% 32.39/5.03 ~$less($sum(x2,sK2),0) | (spl8_2 | ~spl8_23)),
% 32.39/5.03 inference(resolution,[],[f342,f192])).
% 32.39/5.03 tff(f1656,plain,(
% 32.39/5.03 ~spl8_200 | spl8_3 | ~spl8_23),
% 32.39/5.03 inference(avatar_split_clause,[],[f1650,f277,f158,f1653])).
% 32.39/5.03 tff(f1653,plain,(
% 32.39/5.03 spl8_200 <=> $less($sum(x2,x2),sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_200])])).
% 32.39/5.03 tff(f1650,plain,(
% 32.39/5.03 ~$less($sum(x2,x2),sK2) | (spl8_3 | ~spl8_23)),
% 32.39/5.03 inference(resolution,[],[f342,f231])).
% 32.39/5.03 tff(f1641,plain,(
% 32.39/5.03 spl8_199 | spl8_197 | spl8_31),
% 32.39/5.03 inference(avatar_split_clause,[],[f1616,f327,f1629,f1638])).
% 32.39/5.03 tff(f1638,plain,(
% 32.39/5.03 spl8_199 <=> sQ4_eqProxy($sum(sK2,1),x2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_199])])).
% 32.39/5.03 tff(f1629,plain,(
% 32.39/5.03 spl8_197 <=> $less($sum(sK2,1),x2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_197])])).
% 32.39/5.03 tff(f1616,plain,(
% 32.39/5.03 sQ4_eqProxy($sum(sK2,1),x2) | $less($sum(sK2,1),x2) | spl8_31),
% 32.39/5.03 inference(resolution,[],[f329,f124])).
% 32.39/5.03 tff(f1636,plain,(
% 32.39/5.03 spl8_197 | spl8_198 | spl8_31),
% 32.39/5.03 inference(avatar_split_clause,[],[f1617,f327,f1633,f1629])).
% 32.39/5.03 tff(f1633,plain,(
% 32.39/5.03 spl8_198 <=> sQ4_eqProxy(x2,$sum(sK2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_198])])).
% 32.39/5.03 tff(f1617,plain,(
% 32.39/5.03 $less($sum(sK2,1),x2) | sQ4_eqProxy(x2,$sum(sK2,1)) | spl8_31),
% 32.39/5.03 inference(resolution,[],[f329,f124])).
% 32.39/5.03 tff(f1627,plain,(
% 32.39/5.03 ~spl8_195 | spl8_196 | spl8_31),
% 32.39/5.03 inference(avatar_split_clause,[],[f1613,f327,f1624,f1620])).
% 32.39/5.03 tff(f1620,plain,(
% 32.39/5.03 spl8_195 <=> $less(x2,abs($sum(sK2,1)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_195])])).
% 32.39/5.03 tff(f1613,plain,(
% 32.39/5.03 $less($sum(sK2,1),$uminus(x2)) | ~$less(x2,abs($sum(sK2,1))) | spl8_31),
% 32.39/5.03 inference(resolution,[],[f329,f89])).
% 32.39/5.03 tff(f1611,plain,(
% 32.39/5.03 ~spl8_194 | spl8_3 | ~spl8_13),
% 32.39/5.03 inference(avatar_split_clause,[],[f1590,f215,f158,f1608])).
% 32.39/5.03 tff(f1608,plain,(
% 32.39/5.03 spl8_194 <=> $less($sum(sK2,x2),sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_194])])).
% 32.39/5.03 tff(f1590,plain,(
% 32.39/5.03 ~$less($sum(sK2,x2),sK2) | (spl8_3 | ~spl8_13)),
% 32.39/5.03 inference(resolution,[],[f310,f231])).
% 32.39/5.03 tff(f1606,plain,(
% 32.39/5.03 ~spl8_193 | spl8_4 | ~spl8_13),
% 32.39/5.03 inference(avatar_split_clause,[],[f1588,f215,f163,f1603])).
% 32.39/5.03 tff(f1603,plain,(
% 32.39/5.03 spl8_193 <=> $less($sum(sK2,$product(2,y2)),sK0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_193])])).
% 32.39/5.03 tff(f1588,plain,(
% 32.39/5.03 ~$less($sum(sK2,$product(2,y2)),sK0) | (spl8_4 | ~spl8_13)),
% 32.39/5.03 inference(resolution,[],[f310,f355])).
% 32.39/5.03 tff(f1601,plain,(
% 32.39/5.03 ~spl8_192 | spl8_2 | ~spl8_13),
% 32.39/5.03 inference(avatar_split_clause,[],[f1591,f215,f153,f1598])).
% 32.39/5.03 tff(f1598,plain,(
% 32.39/5.03 spl8_192 <=> $less($sum(sK2,sK2),0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_192])])).
% 32.39/5.03 tff(f1591,plain,(
% 32.39/5.03 ~$less($sum(sK2,sK2),0) | (spl8_2 | ~spl8_13)),
% 32.39/5.03 inference(resolution,[],[f310,f192])).
% 32.39/5.03 tff(f1596,plain,(
% 32.39/5.03 ~spl8_191 | spl8_6 | ~spl8_13),
% 32.39/5.03 inference(avatar_split_clause,[],[f1589,f215,f173,f1593])).
% 32.39/5.03 tff(f1593,plain,(
% 32.39/5.03 spl8_191 <=> $less($sum(sK2,x2),0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_191])])).
% 32.39/5.03 tff(f1589,plain,(
% 32.39/5.03 ~$less($sum(sK2,x2),0) | (spl8_6 | ~spl8_13)),
% 32.39/5.03 inference(resolution,[],[f310,f267])).
% 32.39/5.03 tff(f1581,plain,(
% 32.39/5.03 spl8_190 | ~spl8_170),
% 32.39/5.03 inference(avatar_split_clause,[],[f1566,f1450,f1578])).
% 32.39/5.03 tff(f1578,plain,(
% 32.39/5.03 spl8_190 <=> $less(3,abs(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_190])])).
% 32.39/5.03 tff(f1450,plain,(
% 32.39/5.03 spl8_170 <=> $less(3,sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_170])])).
% 32.39/5.03 tff(f1566,plain,(
% 32.39/5.03 $less(3,abs(sK2)) | ~spl8_170),
% 32.39/5.03 inference(resolution,[],[f1452,f87])).
% 32.39/5.03 tff(f1452,plain,(
% 32.39/5.03 $less(3,sK2) | ~spl8_170),
% 32.39/5.03 inference(avatar_component_clause,[],[f1450])).
% 32.39/5.03 tff(f1576,plain,(
% 32.39/5.03 ~spl8_189 | ~spl8_170),
% 32.39/5.03 inference(avatar_split_clause,[],[f1571,f1450,f1573])).
% 32.39/5.03 tff(f1571,plain,(
% 32.39/5.03 ~$less(sK2,4) | ~spl8_170),
% 32.39/5.03 inference(evaluation,[],[f1567])).
% 32.39/5.03 tff(f1567,plain,(
% 32.39/5.03 ~$less(sK2,$sum(3,1)) | ~spl8_170),
% 32.39/5.03 inference(resolution,[],[f1452,f46])).
% 32.39/5.03 tff(f1565,plain,(
% 32.39/5.03 spl8_188 | spl8_121),
% 32.39/5.03 inference(avatar_split_clause,[],[f1542,f1015,f1562])).
% 32.39/5.03 tff(f1562,plain,(
% 32.39/5.03 spl8_188 <=> $less(sK0,$sum(abs(sK0),1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_188])])).
% 32.39/5.03 tff(f1542,plain,(
% 32.39/5.03 $less(sK0,$sum(abs(sK0),1)) | spl8_121),
% 32.39/5.03 inference(resolution,[],[f1017,f38])).
% 32.39/5.03 tff(f1560,plain,(
% 32.39/5.03 spl8_185 | spl8_187 | spl8_121),
% 32.39/5.03 inference(avatar_split_clause,[],[f1544,f1015,f1557,f1548])).
% 32.39/5.03 tff(f1548,plain,(
% 32.39/5.03 spl8_185 <=> $less(sK0,abs(sK0))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_185])])).
% 32.39/5.03 tff(f1557,plain,(
% 32.39/5.03 spl8_187 <=> sQ4_eqProxy(sK0,abs(sK0))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_187])])).
% 32.39/5.03 tff(f1544,plain,(
% 32.39/5.03 $less(sK0,abs(sK0)) | sQ4_eqProxy(sK0,abs(sK0)) | spl8_121),
% 32.39/5.03 inference(resolution,[],[f1017,f124])).
% 32.39/5.03 tff(f1555,plain,(
% 32.39/5.03 spl8_185 | spl8_186 | spl8_121),
% 32.39/5.03 inference(avatar_split_clause,[],[f1545,f1015,f1552,f1548])).
% 32.39/5.03 tff(f1552,plain,(
% 32.39/5.03 spl8_186 <=> sQ4_eqProxy(abs(sK0),sK0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_186])])).
% 32.39/5.03 tff(f1545,plain,(
% 32.39/5.03 $less(sK0,abs(sK0)) | sQ4_eqProxy(abs(sK0),sK0) | spl8_121),
% 32.39/5.03 inference(resolution,[],[f1017,f124])).
% 32.39/5.03 tff(f1540,plain,(
% 32.39/5.03 spl8_184 | spl8_110),
% 32.39/5.03 inference(avatar_split_clause,[],[f1531,f903,f1537])).
% 32.39/5.03 tff(f1537,plain,(
% 32.39/5.03 spl8_184 <=> $less(sK2,$sum(abs(sK2),1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_184])])).
% 32.39/5.03 tff(f1531,plain,(
% 32.39/5.03 $less(sK2,$sum(abs(sK2),1)) | spl8_110),
% 32.39/5.03 inference(resolution,[],[f905,f38])).
% 32.39/5.03 tff(f1529,plain,(
% 32.39/5.03 spl8_183 | spl8_103),
% 32.39/5.03 inference(avatar_split_clause,[],[f1514,f848,f1526])).
% 32.39/5.03 tff(f1526,plain,(
% 32.39/5.03 spl8_183 <=> $less(0,$sum($uminus(x2),1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_183])])).
% 32.39/5.03 tff(f1514,plain,(
% 32.39/5.03 $less(0,$sum($uminus(x2),1)) | spl8_103),
% 32.39/5.03 inference(resolution,[],[f850,f38])).
% 32.39/5.03 tff(f1524,plain,(
% 32.39/5.03 spl8_182 | spl8_103),
% 32.39/5.03 inference(avatar_split_clause,[],[f1511,f848,f1521])).
% 32.39/5.03 tff(f1521,plain,(
% 32.39/5.03 spl8_182 <=> sQ4_eqProxy(abs($uminus(x2)),$uminus(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_182])])).
% 32.39/5.03 tff(f1511,plain,(
% 32.39/5.03 sQ4_eqProxy(abs($uminus(x2)),$uminus(x2)) | spl8_103),
% 32.39/5.03 inference(resolution,[],[f850,f127])).
% 32.39/5.03 tff(f1510,plain,(
% 32.39/5.03 ~spl8_180 | spl8_181 | spl8_168),
% 32.39/5.03 inference(avatar_split_clause,[],[f1477,f1434,f1507,f1503])).
% 32.39/5.03 tff(f1503,plain,(
% 32.39/5.03 spl8_180 <=> $less(x2,abs(3))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_180])])).
% 32.39/5.03 tff(f1507,plain,(
% 32.39/5.03 spl8_181 <=> $less(3,$uminus(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_181])])).
% 32.39/5.03 tff(f1477,plain,(
% 32.39/5.03 ~$less(x2,abs(3)) | $less(3,$uminus(x2)) | spl8_168),
% 32.39/5.03 inference(resolution,[],[f1436,f89])).
% 32.39/5.03 tff(f1501,plain,(
% 32.39/5.03 spl8_179 | spl8_168),
% 32.39/5.03 inference(avatar_split_clause,[],[f1478,f1434,f1498])).
% 32.39/5.03 tff(f1498,plain,(
% 32.39/5.03 spl8_179 <=> $less(3,$sum(x2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_179])])).
% 32.39/5.03 tff(f1478,plain,(
% 32.39/5.03 $less(3,$sum(x2,1)) | spl8_168),
% 32.39/5.03 inference(resolution,[],[f1436,f38])).
% 32.39/5.03 tff(f1496,plain,(
% 32.39/5.03 spl8_176 | spl8_178 | spl8_168),
% 32.39/5.03 inference(avatar_split_clause,[],[f1480,f1434,f1493,f1484])).
% 32.39/5.03 tff(f1493,plain,(
% 32.39/5.03 spl8_178 <=> sQ4_eqProxy(3,x2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_178])])).
% 32.39/5.03 tff(f1480,plain,(
% 32.39/5.03 $less(3,x2) | sQ4_eqProxy(3,x2) | spl8_168),
% 32.39/5.03 inference(resolution,[],[f1436,f124])).
% 32.39/5.03 tff(f1491,plain,(
% 32.39/5.03 spl8_176 | spl8_177 | spl8_168),
% 32.39/5.03 inference(avatar_split_clause,[],[f1481,f1434,f1488,f1484])).
% 32.39/5.03 tff(f1488,plain,(
% 32.39/5.03 spl8_177 <=> sQ4_eqProxy(x2,3)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_177])])).
% 32.39/5.03 tff(f1481,plain,(
% 32.39/5.03 $less(3,x2) | sQ4_eqProxy(x2,3) | spl8_168),
% 32.39/5.03 inference(resolution,[],[f1436,f124])).
% 32.39/5.03 tff(f1476,plain,(
% 32.39/5.03 spl8_175 | spl8_156),
% 32.39/5.03 inference(avatar_split_clause,[],[f1444,f1325,f1473])).
% 32.39/5.03 tff(f1473,plain,(
% 32.39/5.03 spl8_175 <=> $less(3,$sum(sK2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_175])])).
% 32.39/5.03 tff(f1444,plain,(
% 32.39/5.03 $less(3,$sum(sK2,1)) | spl8_156),
% 32.39/5.03 inference(resolution,[],[f1327,f38])).
% 32.39/5.03 tff(f1471,plain,(
% 32.39/5.03 spl8_170 | spl8_174 | spl8_156),
% 32.39/5.03 inference(avatar_split_clause,[],[f1447,f1325,f1468,f1450])).
% 32.39/5.03 tff(f1468,plain,(
% 32.39/5.03 spl8_174 <=> sQ4_eqProxy(sK2,3)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_174])])).
% 32.39/5.03 tff(f1447,plain,(
% 32.39/5.03 $less(3,sK2) | sQ4_eqProxy(sK2,3) | spl8_156),
% 32.39/5.03 inference(resolution,[],[f1327,f124])).
% 32.39/5.03 tff(f1466,plain,(
% 32.39/5.03 ~spl8_172 | spl8_173 | spl8_156),
% 32.39/5.03 inference(avatar_split_clause,[],[f1443,f1325,f1463,f1459])).
% 32.39/5.03 tff(f1459,plain,(
% 32.39/5.03 spl8_172 <=> $less(sK2,abs(3))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_172])])).
% 32.39/5.03 tff(f1463,plain,(
% 32.39/5.03 spl8_173 <=> $less(3,$uminus(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_173])])).
% 32.39/5.03 tff(f1443,plain,(
% 32.39/5.03 $less(3,$uminus(sK2)) | ~$less(sK2,abs(3)) | spl8_156),
% 32.39/5.03 inference(resolution,[],[f1327,f89])).
% 32.39/5.03 tff(f1457,plain,(
% 32.39/5.03 spl8_170 | spl8_171 | spl8_156),
% 32.39/5.03 inference(avatar_split_clause,[],[f1446,f1325,f1454,f1450])).
% 32.39/5.03 tff(f1454,plain,(
% 32.39/5.03 spl8_171 <=> sQ4_eqProxy(3,sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_171])])).
% 32.39/5.03 tff(f1446,plain,(
% 32.39/5.03 $less(3,sK2) | sQ4_eqProxy(3,sK2) | spl8_156),
% 32.39/5.03 inference(resolution,[],[f1327,f124])).
% 32.39/5.03 tff(f1442,plain,(
% 32.39/5.03 spl8_169 | ~spl8_105),
% 32.39/5.03 inference(avatar_split_clause,[],[f1427,f863,f1439])).
% 32.39/5.03 tff(f1439,plain,(
% 32.39/5.03 spl8_169 <=> $less(2,abs(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_169])])).
% 32.39/5.03 tff(f863,plain,(
% 32.39/5.03 spl8_105 <=> $less(2,x2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_105])])).
% 32.39/5.03 tff(f1427,plain,(
% 32.39/5.03 $less(2,abs(x2)) | ~spl8_105),
% 32.39/5.03 inference(resolution,[],[f865,f87])).
% 32.39/5.03 tff(f865,plain,(
% 32.39/5.03 $less(2,x2) | ~spl8_105),
% 32.39/5.03 inference(avatar_component_clause,[],[f863])).
% 32.39/5.03 tff(f1437,plain,(
% 32.39/5.03 ~spl8_168 | ~spl8_105),
% 32.39/5.03 inference(avatar_split_clause,[],[f1432,f863,f1434])).
% 32.39/5.03 tff(f1432,plain,(
% 32.39/5.03 ~$less(x2,3) | ~spl8_105),
% 32.39/5.03 inference(evaluation,[],[f1428])).
% 32.39/5.03 tff(f1428,plain,(
% 32.39/5.03 ~$less(x2,$sum(2,1)) | ~spl8_105),
% 32.39/5.03 inference(resolution,[],[f865,f46])).
% 32.39/5.03 tff(f1426,plain,(
% 32.39/5.03 spl8_54 | spl8_167 | spl8_87),
% 32.39/5.03 inference(avatar_split_clause,[],[f1413,f712,f1423,f471])).
% 32.39/5.03 tff(f471,plain,(
% 32.39/5.03 spl8_54 <=> $less(1,$uminus(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_54])])).
% 32.39/5.03 tff(f1423,plain,(
% 32.39/5.03 spl8_167 <=> sQ4_eqProxy($uminus(x2),1)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_167])])).
% 32.39/5.03 tff(f1413,plain,(
% 32.39/5.03 $less(1,$uminus(x2)) | sQ4_eqProxy($uminus(x2),1) | spl8_87),
% 32.39/5.03 inference(resolution,[],[f714,f124])).
% 32.39/5.03 tff(f1421,plain,(
% 32.39/5.03 spl8_166 | spl8_54 | spl8_87),
% 32.39/5.03 inference(avatar_split_clause,[],[f1412,f712,f471,f1418])).
% 32.39/5.03 tff(f1418,plain,(
% 32.39/5.03 spl8_166 <=> sQ4_eqProxy(1,$uminus(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_166])])).
% 32.39/5.03 tff(f1412,plain,(
% 32.39/5.03 $less(1,$uminus(x2)) | sQ4_eqProxy(1,$uminus(x2)) | spl8_87),
% 32.39/5.03 inference(resolution,[],[f714,f124])).
% 32.39/5.03 tff(f1402,plain,(
% 32.39/5.03 spl8_45 | spl8_165 | spl8_66),
% 32.39/5.03 inference(avatar_split_clause,[],[f1389,f551,f1399,f413])).
% 32.39/5.03 tff(f413,plain,(
% 32.39/5.03 spl8_45 <=> $less(1,$uminus(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_45])])).
% 32.39/5.03 tff(f1399,plain,(
% 32.39/5.03 spl8_165 <=> sQ4_eqProxy($uminus(sK2),1)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_165])])).
% 32.39/5.03 tff(f1389,plain,(
% 32.39/5.03 sQ4_eqProxy($uminus(sK2),1) | $less(1,$uminus(sK2)) | spl8_66),
% 32.39/5.03 inference(resolution,[],[f553,f124])).
% 32.39/5.03 tff(f1397,plain,(
% 32.39/5.03 spl8_45 | spl8_164 | spl8_66),
% 32.39/5.03 inference(avatar_split_clause,[],[f1388,f551,f1394,f413])).
% 32.39/5.03 tff(f1394,plain,(
% 32.39/5.03 spl8_164 <=> sQ4_eqProxy(1,$uminus(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_164])])).
% 32.39/5.03 tff(f1388,plain,(
% 32.39/5.03 sQ4_eqProxy(1,$uminus(sK2)) | $less(1,$uminus(sK2)) | spl8_66),
% 32.39/5.03 inference(resolution,[],[f553,f124])).
% 32.39/5.03 tff(f1384,plain,(
% 32.39/5.03 spl8_163 | spl8_61),
% 32.39/5.03 inference(avatar_split_clause,[],[f1366,f520,f1381])).
% 32.39/5.03 tff(f1381,plain,(
% 32.39/5.03 spl8_163 <=> $less(sK2,$sum(abs(0),1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_163])])).
% 32.39/5.03 tff(f1366,plain,(
% 32.39/5.03 $less(sK2,$sum(abs(0),1)) | spl8_61),
% 32.39/5.03 inference(resolution,[],[f521,f38])).
% 32.39/5.03 tff(f1379,plain,(
% 32.39/5.03 ~spl8_161 | spl8_162 | spl8_61),
% 32.39/5.03 inference(avatar_split_clause,[],[f1365,f520,f1376,f1372])).
% 32.39/5.03 tff(f1372,plain,(
% 32.39/5.03 spl8_161 <=> $less(abs(0),abs(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_161])])).
% 32.39/5.03 tff(f1376,plain,(
% 32.39/5.03 spl8_162 <=> $less(sK2,$uminus(abs(0)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_162])])).
% 32.39/5.03 tff(f1365,plain,(
% 32.39/5.03 ~$less(abs(0),abs(sK2)) | $less(sK2,$uminus(abs(0))) | spl8_61),
% 32.39/5.03 inference(resolution,[],[f521,f89])).
% 32.39/5.03 tff(f1364,plain,(
% 32.39/5.03 spl8_160 | ~spl8_34),
% 32.39/5.03 inference(avatar_split_clause,[],[f1347,f349,f1361])).
% 32.39/5.03 tff(f1361,plain,(
% 32.39/5.03 spl8_160 <=> $less(0,abs(abs(x2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_160])])).
% 32.39/5.03 tff(f349,plain,(
% 32.39/5.03 spl8_34 <=> $less(0,abs(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_34])])).
% 32.39/5.03 tff(f1347,plain,(
% 32.39/5.03 $less(0,abs(abs(x2))) | ~spl8_34),
% 32.39/5.03 inference(resolution,[],[f351,f87])).
% 32.39/5.03 tff(f351,plain,(
% 32.39/5.03 $less(0,abs(x2)) | ~spl8_34),
% 32.39/5.03 inference(avatar_component_clause,[],[f349])).
% 32.39/5.03 tff(f1359,plain,(
% 32.39/5.03 ~spl8_159 | ~spl8_34),
% 32.39/5.03 inference(avatar_split_clause,[],[f1354,f349,f1356])).
% 32.39/5.03 tff(f1356,plain,(
% 32.39/5.03 spl8_159 <=> $less(abs(x2),1)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_159])])).
% 32.39/5.03 tff(f1354,plain,(
% 32.39/5.03 ~$less(abs(x2),1) | ~spl8_34),
% 32.39/5.03 inference(evaluation,[],[f1348])).
% 32.39/5.03 tff(f1348,plain,(
% 32.39/5.03 ~$less(abs(x2),$sum(0,1)) | ~spl8_34),
% 32.39/5.03 inference(resolution,[],[f351,f46])).
% 32.39/5.03 tff(f1345,plain,(
% 32.39/5.03 spl8_158 | ~spl8_32),
% 32.39/5.03 inference(avatar_split_clause,[],[f1331,f332,f1342])).
% 32.39/5.03 tff(f1342,plain,(
% 32.39/5.03 spl8_158 <=> $less(sK2,abs(abs(x2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_158])])).
% 32.39/5.03 tff(f332,plain,(
% 32.39/5.03 spl8_32 <=> $less(sK2,abs(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_32])])).
% 32.39/5.03 tff(f1331,plain,(
% 32.39/5.03 $less(sK2,abs(abs(x2))) | ~spl8_32),
% 32.39/5.03 inference(resolution,[],[f334,f87])).
% 32.39/5.03 tff(f334,plain,(
% 32.39/5.03 $less(sK2,abs(x2)) | ~spl8_32),
% 32.39/5.03 inference(avatar_component_clause,[],[f332])).
% 32.39/5.03 tff(f1340,plain,(
% 32.39/5.03 ~spl8_157 | ~spl8_32),
% 32.39/5.03 inference(avatar_split_clause,[],[f1332,f332,f1337])).
% 32.39/5.03 tff(f1337,plain,(
% 32.39/5.03 spl8_157 <=> $less(abs(x2),$sum(sK2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_157])])).
% 32.39/5.03 tff(f1332,plain,(
% 32.39/5.03 ~$less(abs(x2),$sum(sK2,1)) | ~spl8_32),
% 32.39/5.03 inference(resolution,[],[f334,f46])).
% 32.39/5.03 tff(f1328,plain,(
% 32.39/5.03 ~spl8_156 | ~spl8_96),
% 32.39/5.03 inference(avatar_split_clause,[],[f1318,f798,f1325])).
% 32.39/5.03 tff(f798,plain,(
% 32.39/5.03 spl8_96 <=> $less(2,sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_96])])).
% 32.39/5.03 tff(f1318,plain,(
% 32.39/5.03 ~$less(sK2,3) | ~spl8_96),
% 32.39/5.03 inference(evaluation,[],[f1314])).
% 32.39/5.03 tff(f1314,plain,(
% 32.39/5.03 ~$less(sK2,$sum(2,1)) | ~spl8_96),
% 32.39/5.03 inference(resolution,[],[f800,f46])).
% 32.39/5.03 tff(f800,plain,(
% 32.39/5.03 $less(2,sK2) | ~spl8_96),
% 32.39/5.03 inference(avatar_component_clause,[],[f798])).
% 32.39/5.03 tff(f1323,plain,(
% 32.39/5.03 spl8_155 | ~spl8_96),
% 32.39/5.03 inference(avatar_split_clause,[],[f1313,f798,f1320])).
% 32.39/5.03 tff(f1320,plain,(
% 32.39/5.03 spl8_155 <=> $less(2,abs(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_155])])).
% 32.39/5.03 tff(f1313,plain,(
% 32.39/5.03 $less(2,abs(sK2)) | ~spl8_96),
% 32.39/5.03 inference(resolution,[],[f800,f87])).
% 32.39/5.03 tff(f1312,plain,(
% 32.39/5.03 spl8_154 | ~spl8_29),
% 32.39/5.03 inference(avatar_split_clause,[],[f1295,f312,f1309])).
% 32.39/5.03 tff(f1309,plain,(
% 32.39/5.03 spl8_154 <=> $less(0,abs(abs(sK2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_154])])).
% 32.39/5.03 tff(f312,plain,(
% 32.39/5.03 spl8_29 <=> $less(0,abs(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_29])])).
% 32.39/5.03 tff(f1295,plain,(
% 32.39/5.03 $less(0,abs(abs(sK2))) | ~spl8_29),
% 32.39/5.03 inference(resolution,[],[f314,f87])).
% 32.39/5.03 tff(f314,plain,(
% 32.39/5.03 $less(0,abs(sK2)) | ~spl8_29),
% 32.39/5.03 inference(avatar_component_clause,[],[f312])).
% 32.39/5.03 tff(f1307,plain,(
% 32.39/5.03 ~spl8_153 | ~spl8_29),
% 32.39/5.03 inference(avatar_split_clause,[],[f1302,f312,f1304])).
% 32.39/5.03 tff(f1304,plain,(
% 32.39/5.03 spl8_153 <=> $less(abs(sK2),1)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_153])])).
% 32.39/5.03 tff(f1302,plain,(
% 32.39/5.03 ~$less(abs(sK2),1) | ~spl8_29),
% 32.39/5.03 inference(evaluation,[],[f1296])).
% 32.39/5.03 tff(f1296,plain,(
% 32.39/5.03 ~$less(abs(sK2),$sum(0,1)) | ~spl8_29),
% 32.39/5.03 inference(resolution,[],[f314,f46])).
% 32.39/5.03 tff(f1293,plain,(
% 32.39/5.03 ~spl8_152 | ~spl8_137),
% 32.39/5.03 inference(avatar_split_clause,[],[f1274,f1132,f1290])).
% 32.39/5.03 tff(f1290,plain,(
% 32.39/5.03 spl8_152 <=> $less(0,$sum(sK0,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_152])])).
% 32.39/5.03 tff(f1274,plain,(
% 32.39/5.03 ~$less(0,$sum(sK0,1)) | ~spl8_137),
% 32.39/5.03 inference(resolution,[],[f1134,f46])).
% 32.39/5.03 tff(f1288,plain,(
% 32.39/5.03 spl8_151 | ~spl8_137),
% 32.39/5.03 inference(avatar_split_clause,[],[f1272,f1132,f1285])).
% 32.39/5.03 tff(f1285,plain,(
% 32.39/5.03 spl8_151 <=> sQ4_eqProxy($uminus(sK0),abs(sK0))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_151])])).
% 32.39/5.03 tff(f1272,plain,(
% 32.39/5.03 sQ4_eqProxy($uminus(sK0),abs(sK0)) | ~spl8_137),
% 32.39/5.03 inference(resolution,[],[f1134,f128])).
% 32.39/5.03 tff(f1283,plain,(
% 32.39/5.03 spl8_150 | ~spl8_137),
% 32.39/5.03 inference(avatar_split_clause,[],[f1273,f1132,f1280])).
% 32.39/5.03 tff(f1280,plain,(
% 32.39/5.03 spl8_150 <=> $less(sK0,abs(0))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_150])])).
% 32.39/5.03 tff(f1273,plain,(
% 32.39/5.03 $less(sK0,abs(0)) | ~spl8_137),
% 32.39/5.03 inference(resolution,[],[f1134,f87])).
% 32.39/5.03 tff(f1271,plain,(
% 32.39/5.03 spl8_149 | ~spl8_5),
% 32.39/5.03 inference(avatar_split_clause,[],[f1256,f168,f1268])).
% 32.39/5.03 tff(f1256,plain,(
% 32.39/5.03 sQ4_eqProxy(sK0,$sum($uminus($product($sum($product(2,sK1),1),x2)),$product($product(2,$sum(sK2,1)),y2))) | ~spl8_5),
% 32.39/5.03 inference(resolution,[],[f452,f121])).
% 32.39/5.03 tff(f121,plain,(
% 32.39/5.03 ( ! [X0 : $int,X1 : $int] : (sQ4_eqProxy($sum(X0,X1),$sum(X1,X0))) )),
% 32.39/5.03 inference(equality_proxy_replacement,[],[f29,f105])).
% 32.39/5.03 tff(f29,plain,(
% 32.39/5.03 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 32.39/5.03 introduced(theory_axiom_143,[])).
% 32.39/5.03 tff(f1252,plain,(
% 32.39/5.03 spl8_148 | ~spl8_8),
% 32.39/5.03 inference(avatar_split_clause,[],[f1222,f184,f1249])).
% 32.39/5.03 tff(f184,plain,(
% 32.39/5.03 spl8_8 <=> $less(abs($sum($product(x2,sK3(sK2,sK1)),$uminus($product(sK2,y2)))),abs($sum($product(x2,sK1),$uminus($product(sK2,y2)))))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_8])])).
% 32.39/5.03 tff(f1222,plain,(
% 32.39/5.03 $less(x2,abs($sum($product($product(2,x2),sK1),$uminus($product(2,$product(sK2,y2)))))) | ~spl8_8),
% 32.39/5.03 inference(resolution,[],[f186,f83])).
% 32.39/5.03 tff(f83,plain,(
% 32.39/5.03 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : ($less(X1,abs($sum($product($product(2,X1),X0),$uminus($product(2,X2))))) | ~$less(abs($sum($product(X1,X3),$uminus(X2))),abs($sum($product(X1,X0),$uminus(X2))))) )),
% 32.39/5.03 inference(cnf_transformation,[],[f74])).
% 32.39/5.03 tff(f74,plain,(
% 32.39/5.03 ! [X1 : $int,X2 : $int,X0 : $int] : ($less(X1,abs($sum($product($product(2,X1),X0),$uminus($product(2,X2))))) | ! [X3 : $int] : ~$less(abs($sum($product(X1,X3),$uminus(X2))),abs($sum($product(X1,X0),$uminus(X2)))))),
% 32.39/5.03 inference(ennf_transformation,[],[f59])).
% 32.39/5.03 tff(f59,plain,(
% 32.39/5.03 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X1,abs($sum($product($product(2,X1),X0),$uminus($product(2,X2))))) => ! [X3 : $int] : ~$less(abs($sum($product(X1,X3),$uminus(X2))),abs($sum($product(X1,X0),$uminus(X2)))))),
% 32.39/5.03 inference(rectify,[],[f25])).
% 32.39/5.03 tff(f25,plain,(
% 32.39/5.03 ! [X9 : $int,X0 : $int,X10 : $int] : (~$less(X0,abs($sum($product($product(2,X0),X9),$uminus($product(2,X10))))) => ! [X11 : $int] : ~$less(abs($sum($product(X0,X11),$uminus(X10))),abs($sum($product(X0,X9),$uminus(X10)))))),
% 32.39/5.03 inference(theory_normalization,[],[f18])).
% 32.39/5.03 tff(f18,axiom,(
% 32.39/5.03 ! [X9 : $int,X0 : $int,X10 : $int] : ($lesseq(abs($difference($product($product(2,X0),X9),$product(2,X10))),X0) => ! [X11 : $int] : $lesseq(abs($difference($product(X0,X9),X10)),abs($difference($product(X0,X11),X10))))),
% 32.39/5.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
% 32.39/5.03 tff(f186,plain,(
% 32.39/5.03 $less(abs($sum($product(x2,sK3(sK2,sK1)),$uminus($product(sK2,y2)))),abs($sum($product(x2,sK1),$uminus($product(sK2,y2))))) | ~spl8_8),
% 32.39/5.03 inference(avatar_component_clause,[],[f184])).
% 32.39/5.03 tff(f1247,plain,(
% 32.39/5.03 spl8_146 | spl8_147 | ~spl8_8),
% 32.39/5.03 inference(avatar_split_clause,[],[f1223,f184,f1244,f1240])).
% 32.39/5.03 tff(f1244,plain,(
% 32.39/5.03 spl8_147 <=> $less($sum($product(x2,sK1),$uminus($product(sK2,y2))),$uminus(abs($sum($product(x2,sK3(sK2,sK1)),$uminus($product(sK2,y2))))))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_147])])).
% 32.39/5.03 tff(f1223,plain,(
% 32.39/5.03 $less($sum($product(x2,sK1),$uminus($product(sK2,y2))),$uminus(abs($sum($product(x2,sK3(sK2,sK1)),$uminus($product(sK2,y2)))))) | $less(abs($sum($product(x2,sK3(sK2,sK1)),$uminus($product(sK2,y2)))),$sum($product(x2,sK1),$uminus($product(sK2,y2)))) | ~spl8_8),
% 32.39/5.03 inference(resolution,[],[f186,f89])).
% 32.39/5.03 tff(f1238,plain,(
% 32.39/5.03 ~spl8_145 | ~spl8_8),
% 32.39/5.03 inference(avatar_split_clause,[],[f1225,f184,f1235])).
% 32.39/5.03 tff(f1235,plain,(
% 32.39/5.03 spl8_145 <=> $less(abs($sum($product(x2,sK1),$uminus($product(sK2,y2)))),$sum(abs($sum($product(x2,sK3(sK2,sK1)),$uminus($product(sK2,y2)))),1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_145])])).
% 32.39/5.03 tff(f1225,plain,(
% 32.39/5.03 ~$less(abs($sum($product(x2,sK1),$uminus($product(sK2,y2)))),$sum(abs($sum($product(x2,sK3(sK2,sK1)),$uminus($product(sK2,y2)))),1)) | ~spl8_8),
% 32.39/5.03 inference(resolution,[],[f186,f46])).
% 32.39/5.03 tff(f1233,plain,(
% 32.39/5.03 spl8_144 | ~spl8_8),
% 32.39/5.03 inference(avatar_split_clause,[],[f1224,f184,f1230])).
% 32.39/5.03 tff(f1230,plain,(
% 32.39/5.03 spl8_144 <=> $less(abs($sum($product(x2,sK3(sK2,sK1)),$uminus($product(sK2,y2)))),abs(abs($sum($product(x2,sK1),$uminus($product(sK2,y2))))))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_144])])).
% 32.39/5.03 tff(f1224,plain,(
% 32.39/5.03 $less(abs($sum($product(x2,sK3(sK2,sK1)),$uminus($product(sK2,y2)))),abs(abs($sum($product(x2,sK1),$uminus($product(sK2,y2)))))) | ~spl8_8),
% 32.39/5.03 inference(resolution,[],[f186,f87])).
% 32.39/5.03 tff(f1218,plain,(
% 32.39/5.03 spl8_143 | ~spl8_135),
% 32.39/5.03 inference(avatar_split_clause,[],[f1204,f1123,f1215])).
% 32.39/5.03 tff(f1215,plain,(
% 32.39/5.03 spl8_143 <=> $less(sK0,abs(1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_143])])).
% 32.39/5.03 tff(f1123,plain,(
% 32.39/5.03 spl8_135 <=> $less(sK0,1)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_135])])).
% 32.39/5.03 tff(f1204,plain,(
% 32.39/5.03 $less(sK0,abs(1)) | ~spl8_135),
% 32.39/5.03 inference(resolution,[],[f1125,f87])).
% 32.39/5.03 tff(f1125,plain,(
% 32.39/5.03 $less(sK0,1) | ~spl8_135),
% 32.39/5.03 inference(avatar_component_clause,[],[f1123])).
% 32.39/5.03 tff(f1213,plain,(
% 32.39/5.03 ~spl8_142 | ~spl8_135),
% 32.39/5.03 inference(avatar_split_clause,[],[f1205,f1123,f1210])).
% 32.39/5.03 tff(f1210,plain,(
% 32.39/5.03 spl8_142 <=> $less(1,$sum(sK0,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_142])])).
% 32.39/5.03 tff(f1205,plain,(
% 32.39/5.03 ~$less(1,$sum(sK0,1)) | ~spl8_135),
% 32.39/5.03 inference(resolution,[],[f1125,f46])).
% 32.39/5.03 tff(f1185,plain,(
% 32.39/5.03 ~spl8_141 | ~spl8_50),
% 32.39/5.03 inference(avatar_split_clause,[],[f1172,f442,f1182])).
% 32.39/5.03 tff(f1172,plain,(
% 32.39/5.03 ~$less($sum(sK0,1),$sum($product(2,$sum(y2,$uminus(x2))),1)) | ~spl8_50),
% 32.39/5.03 inference(resolution,[],[f444,f46])).
% 32.39/5.03 tff(f1180,plain,(
% 32.39/5.03 spl8_140 | ~spl8_50),
% 32.39/5.03 inference(avatar_split_clause,[],[f1171,f442,f1177])).
% 32.39/5.03 tff(f1171,plain,(
% 32.39/5.03 $less($product(2,$sum(y2,$uminus(x2))),abs($sum(sK0,1))) | ~spl8_50),
% 32.39/5.03 inference(resolution,[],[f444,f87])).
% 32.39/5.03 tff(f1145,plain,(
% 32.39/5.03 spl8_137 | spl8_139 | spl8_122),
% 32.39/5.03 inference(avatar_split_clause,[],[f1117,f1020,f1142,f1132])).
% 32.39/5.03 tff(f1117,plain,(
% 32.39/5.03 $less(sK0,0) | sQ4_eqProxy(sK0,0) | spl8_122),
% 32.39/5.03 inference(resolution,[],[f1022,f124])).
% 32.39/5.03 tff(f1140,plain,(
% 32.39/5.03 spl8_137 | ~spl8_138 | spl8_122),
% 32.39/5.03 inference(avatar_split_clause,[],[f1120,f1020,f1137,f1132])).
% 32.39/5.03 tff(f1137,plain,(
% 32.39/5.03 spl8_138 <=> $less(0,abs(sK0))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_138])])).
% 32.39/5.03 tff(f1120,plain,(
% 32.39/5.03 $less(sK0,0) | ~$less(0,abs(sK0)) | spl8_122),
% 32.39/5.03 inference(evaluation,[],[f1114])).
% 32.39/5.03 tff(f1114,plain,(
% 32.39/5.03 ~$less(0,abs(sK0)) | $less(sK0,$uminus(0)) | spl8_122),
% 32.39/5.03 inference(resolution,[],[f1022,f89])).
% 32.39/5.03 tff(f1135,plain,(
% 32.39/5.03 spl8_136 | spl8_137 | spl8_122),
% 32.39/5.03 inference(avatar_split_clause,[],[f1118,f1020,f1132,f1128])).
% 32.39/5.03 tff(f1118,plain,(
% 32.39/5.03 sQ4_eqProxy(0,sK0) | $less(sK0,0) | spl8_122),
% 32.39/5.03 inference(resolution,[],[f1022,f124])).
% 32.39/5.03 tff(f1126,plain,(
% 32.39/5.03 spl8_135 | spl8_122),
% 32.39/5.03 inference(avatar_split_clause,[],[f1121,f1020,f1123])).
% 32.39/5.03 tff(f1121,plain,(
% 32.39/5.03 $less(sK0,1) | spl8_122),
% 32.39/5.03 inference(evaluation,[],[f1115])).
% 32.39/5.03 tff(f1115,plain,(
% 32.39/5.03 $less(sK0,$sum(0,1)) | spl8_122),
% 32.39/5.03 inference(resolution,[],[f1022,f38])).
% 32.39/5.03 tff(f1107,plain,(
% 32.39/5.03 spl8_127 | ~spl8_49),
% 32.39/5.03 inference(avatar_split_clause,[],[f1101,f437,f1056])).
% 32.39/5.03 tff(f1101,plain,(
% 32.39/5.03 $less(sK0,abs(abs($product(2,$sum(y2,$uminus(x2)))))) | ~spl8_49),
% 32.39/5.03 inference(resolution,[],[f438,f87])).
% 32.39/5.03 tff(f1106,plain,(
% 32.39/5.03 ~spl8_129 | ~spl8_49),
% 32.39/5.03 inference(avatar_split_clause,[],[f1102,f437,f1065])).
% 32.39/5.03 tff(f1102,plain,(
% 32.39/5.03 ~$less(abs($product(2,$sum(y2,$uminus(x2)))),$sum(sK0,1)) | ~spl8_49),
% 32.39/5.03 inference(resolution,[],[f438,f46])).
% 32.39/5.03 tff(f1099,plain,(
% 32.39/5.03 spl8_134 | ~spl8_48),
% 32.39/5.03 inference(avatar_split_clause,[],[f1085,f433,f1096])).
% 32.39/5.03 tff(f1085,plain,(
% 32.39/5.03 $less($product(2,$sum(y2,$uminus(x2))),abs($uminus(sK0))) | ~spl8_48),
% 32.39/5.03 inference(resolution,[],[f435,f87])).
% 32.39/5.03 tff(f1094,plain,(
% 32.39/5.03 ~spl8_133 | ~spl8_48),
% 32.39/5.03 inference(avatar_split_clause,[],[f1086,f433,f1091])).
% 32.39/5.03 tff(f1086,plain,(
% 32.39/5.03 ~$less($uminus(sK0),$sum($product(2,$sum(y2,$uminus(x2))),1)) | ~spl8_48),
% 32.39/5.03 inference(resolution,[],[f435,f46])).
% 32.39/5.03 tff(f1083,plain,(
% 32.39/5.03 spl8_130 | spl8_132 | spl8_49),
% 32.39/5.03 inference(avatar_split_clause,[],[f1052,f437,f1080,f1070])).
% 32.39/5.03 tff(f1080,plain,(
% 32.39/5.03 spl8_132 <=> sQ4_eqProxy(abs($product(2,$sum(y2,$uminus(x2)))),sK0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_132])])).
% 32.39/5.03 tff(f1052,plain,(
% 32.39/5.03 sQ4_eqProxy(abs($product(2,$sum(y2,$uminus(x2)))),sK0) | $less(abs($product(2,$sum(y2,$uminus(x2)))),sK0) | spl8_49),
% 32.39/5.03 inference(resolution,[],[f439,f124])).
% 32.39/5.03 tff(f439,plain,(
% 32.39/5.03 ~$less(sK0,abs($product(2,$sum(y2,$uminus(x2))))) | spl8_49),
% 32.39/5.03 inference(avatar_component_clause,[],[f437])).
% 32.39/5.03 tff(f1078,plain,(
% 32.39/5.03 ~spl8_48 | spl8_49),
% 32.39/5.03 inference(avatar_split_clause,[],[f1048,f437,f433])).
% 32.39/5.03 tff(f1048,plain,(
% 32.39/5.03 ~$less($product(2,$sum(y2,$uminus(x2))),$uminus(sK0)) | spl8_49),
% 32.39/5.03 inference(resolution,[],[f439,f88])).
% 32.39/5.03 tff(f1077,plain,(
% 32.39/5.03 spl8_130 | spl8_131 | spl8_49),
% 32.39/5.03 inference(avatar_split_clause,[],[f1053,f437,f1074,f1070])).
% 32.39/5.03 tff(f1074,plain,(
% 32.39/5.03 spl8_131 <=> sQ4_eqProxy(sK0,abs($product(2,$sum(y2,$uminus(x2)))))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_131])])).
% 32.39/5.03 tff(f1053,plain,(
% 32.39/5.03 sQ4_eqProxy(sK0,abs($product(2,$sum(y2,$uminus(x2))))) | $less(abs($product(2,$sum(y2,$uminus(x2)))),sK0) | spl8_49),
% 32.39/5.03 inference(resolution,[],[f439,f124])).
% 32.39/5.03 tff(f1068,plain,(
% 32.39/5.03 spl8_129 | spl8_49),
% 32.39/5.03 inference(avatar_split_clause,[],[f1050,f437,f1065])).
% 32.39/5.03 tff(f1050,plain,(
% 32.39/5.03 $less(abs($product(2,$sum(y2,$uminus(x2)))),$sum(sK0,1)) | spl8_49),
% 32.39/5.03 inference(resolution,[],[f439,f38])).
% 32.39/5.03 tff(f1063,plain,(
% 32.39/5.03 ~spl8_127 | spl8_128 | spl8_49),
% 32.39/5.03 inference(avatar_split_clause,[],[f1049,f437,f1060,f1056])).
% 32.39/5.03 tff(f1060,plain,(
% 32.39/5.03 spl8_128 <=> $less(abs($product(2,$sum(y2,$uminus(x2)))),$uminus(sK0))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_128])])).
% 32.39/5.03 tff(f1049,plain,(
% 32.39/5.03 ~$less(sK0,abs(abs($product(2,$sum(y2,$uminus(x2)))))) | $less(abs($product(2,$sum(y2,$uminus(x2)))),$uminus(sK0)) | spl8_49),
% 32.39/5.03 inference(resolution,[],[f439,f89])).
% 32.39/5.03 tff(f1046,plain,(
% 32.39/5.03 ~spl8_126 | ~spl8_46),
% 32.39/5.03 inference(avatar_split_clause,[],[f1033,f424,f1043])).
% 32.39/5.03 tff(f1033,plain,(
% 32.39/5.03 ~$less(sK0,$sum($product(2,$sum(y2,$uminus(x2))),1)) | ~spl8_46),
% 32.39/5.03 inference(resolution,[],[f426,f46])).
% 32.39/5.03 tff(f1041,plain,(
% 32.39/5.03 spl8_125 | ~spl8_46),
% 32.39/5.03 inference(avatar_split_clause,[],[f1032,f424,f1038])).
% 32.39/5.03 tff(f1032,plain,(
% 32.39/5.03 $less($product(2,$sum(y2,$uminus(x2))),abs(sK0)) | ~spl8_46),
% 32.39/5.03 inference(resolution,[],[f426,f87])).
% 32.39/5.03 tff(f1031,plain,(
% 32.39/5.03 spl8_124 | ~spl8_122 | spl8_4),
% 32.39/5.03 inference(avatar_split_clause,[],[f1006,f163,f1020,f1028])).
% 32.39/5.03 tff(f1028,plain,(
% 32.39/5.03 spl8_124 <=> sQ4_eqProxy(abs($product(2,y2)),$product(2,y2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_124])])).
% 32.39/5.03 tff(f1006,plain,(
% 32.39/5.03 ~$less(0,sK0) | sQ4_eqProxy(abs($product(2,y2)),$product(2,y2)) | spl8_4),
% 32.39/5.03 inference(resolution,[],[f355,f127])).
% 32.39/5.03 tff(f1026,plain,(
% 32.39/5.03 ~spl8_122 | spl8_123 | spl8_4),
% 32.39/5.03 inference(avatar_split_clause,[],[f1007,f163,f1024,f1020])).
% 32.39/5.03 tff(f1024,plain,(
% 32.39/5.03 spl8_123 <=> ! [X0 : $int,X1 : $int] : (~$less($product(X0,$product(2,y2)),$product(X1,$product(2,y2))) | $less(X0,X1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_123])])).
% 32.39/5.03 tff(f1007,plain,(
% 32.39/5.03 ( ! [X0 : $int,X1 : $int] : (~$less(0,sK0) | ~$less($product(X0,$product(2,y2)),$product(X1,$product(2,y2))) | $less(X0,X1)) ) | spl8_4),
% 32.39/5.03 inference(resolution,[],[f355,f93])).
% 32.39/5.03 tff(f1018,plain,(
% 32.39/5.03 ~spl8_121 | spl8_4 | ~spl8_39),
% 32.39/5.03 inference(avatar_split_clause,[],[f999,f378,f163,f1015])).
% 32.39/5.03 tff(f999,plain,(
% 32.39/5.03 ~$less(abs(sK0),sK0) | (spl8_4 | ~spl8_39)),
% 32.39/5.03 inference(resolution,[],[f355,f379])).
% 32.39/5.03 tff(f998,plain,(
% 32.39/5.03 ~spl8_120 | ~spl8_40),
% 32.39/5.03 inference(avatar_split_clause,[],[f985,f383,f995])).
% 32.39/5.03 tff(f985,plain,(
% 32.39/5.03 ~$less($sum($product(2,y2),1),$sum(sK0,1)) | ~spl8_40),
% 32.39/5.03 inference(resolution,[],[f385,f46])).
% 32.39/5.03 tff(f993,plain,(
% 32.39/5.03 spl8_119 | ~spl8_40),
% 32.39/5.03 inference(avatar_split_clause,[],[f984,f383,f990])).
% 32.39/5.03 tff(f984,plain,(
% 32.39/5.03 $less(sK0,abs($sum($product(2,y2),1))) | ~spl8_40),
% 32.39/5.03 inference(resolution,[],[f385,f87])).
% 32.39/5.03 tff(f982,plain,(
% 32.39/5.03 spl8_112 | ~spl8_39),
% 32.39/5.03 inference(avatar_split_clause,[],[f976,f378,f935])).
% 32.39/5.03 tff(f976,plain,(
% 32.39/5.03 $less($product(2,y2),abs(abs(sK0))) | ~spl8_39),
% 32.39/5.03 inference(resolution,[],[f379,f87])).
% 32.39/5.03 tff(f981,plain,(
% 32.39/5.03 ~spl8_116 | ~spl8_39),
% 32.39/5.03 inference(avatar_split_clause,[],[f977,f378,f955])).
% 32.39/5.03 tff(f977,plain,(
% 32.39/5.03 ~$less(abs(sK0),$sum($product(2,y2),1)) | ~spl8_39),
% 32.39/5.03 inference(resolution,[],[f379,f46])).
% 32.39/5.03 tff(f974,plain,(
% 32.39/5.03 spl8_118 | ~spl8_38),
% 32.39/5.03 inference(avatar_split_clause,[],[f960,f374,f971])).
% 32.39/5.03 tff(f960,plain,(
% 32.39/5.03 $less(sK0,abs($uminus($product(2,y2)))) | ~spl8_38),
% 32.39/5.03 inference(resolution,[],[f376,f87])).
% 32.39/5.03 tff(f969,plain,(
% 32.39/5.03 ~spl8_117 | ~spl8_38),
% 32.39/5.03 inference(avatar_split_clause,[],[f961,f374,f966])).
% 32.39/5.03 tff(f961,plain,(
% 32.39/5.03 ~$less($uminus($product(2,y2)),$sum(sK0,1)) | ~spl8_38),
% 32.39/5.03 inference(resolution,[],[f376,f46])).
% 32.39/5.03 tff(f958,plain,(
% 32.39/5.03 spl8_116 | spl8_39),
% 32.39/5.03 inference(avatar_split_clause,[],[f925,f378,f955])).
% 32.39/5.03 tff(f925,plain,(
% 32.39/5.03 $less(abs(sK0),$sum($product(2,y2),1)) | spl8_39),
% 32.39/5.03 inference(resolution,[],[f380,f38])).
% 32.39/5.03 tff(f380,plain,(
% 32.39/5.03 ~$less($product(2,y2),abs(sK0)) | spl8_39),
% 32.39/5.03 inference(avatar_component_clause,[],[f378])).
% 32.39/5.03 tff(f953,plain,(
% 32.39/5.03 ~spl8_38 | spl8_39),
% 32.39/5.03 inference(avatar_split_clause,[],[f923,f378,f374])).
% 32.39/5.03 tff(f923,plain,(
% 32.39/5.03 ~$less(sK0,$uminus($product(2,y2))) | spl8_39),
% 32.39/5.03 inference(resolution,[],[f380,f88])).
% 32.39/5.03 tff(f952,plain,(
% 32.39/5.03 spl8_115 | spl8_113 | spl8_39),
% 32.39/5.03 inference(avatar_split_clause,[],[f928,f378,f940,f949])).
% 32.39/5.03 tff(f949,plain,(
% 32.39/5.03 spl8_115 <=> sQ4_eqProxy($product(2,y2),abs(sK0))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_115])])).
% 32.39/5.03 tff(f940,plain,(
% 32.39/5.03 spl8_113 <=> $less(abs(sK0),$product(2,y2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_113])])).
% 32.39/5.03 tff(f928,plain,(
% 32.39/5.03 $less(abs(sK0),$product(2,y2)) | sQ4_eqProxy($product(2,y2),abs(sK0)) | spl8_39),
% 32.39/5.03 inference(resolution,[],[f380,f124])).
% 32.39/5.03 tff(f947,plain,(
% 32.39/5.03 spl8_113 | spl8_114 | spl8_39),
% 32.39/5.03 inference(avatar_split_clause,[],[f927,f378,f944,f940])).
% 32.39/5.03 tff(f944,plain,(
% 32.39/5.03 spl8_114 <=> sQ4_eqProxy(abs(sK0),$product(2,y2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_114])])).
% 32.39/5.03 tff(f927,plain,(
% 32.39/5.03 sQ4_eqProxy(abs(sK0),$product(2,y2)) | $less(abs(sK0),$product(2,y2)) | spl8_39),
% 32.39/5.03 inference(resolution,[],[f380,f124])).
% 32.39/5.03 tff(f938,plain,(
% 32.39/5.03 spl8_111 | ~spl8_112 | spl8_39),
% 32.39/5.03 inference(avatar_split_clause,[],[f924,f378,f935,f931])).
% 32.39/5.03 tff(f931,plain,(
% 32.39/5.03 spl8_111 <=> $less(abs(sK0),$uminus($product(2,y2)))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_111])])).
% 32.39/5.03 tff(f924,plain,(
% 32.39/5.03 ~$less($product(2,y2),abs(abs(sK0))) | $less(abs(sK0),$uminus($product(2,y2))) | spl8_39),
% 32.39/5.03 inference(resolution,[],[f380,f89])).
% 32.39/5.03 tff(f906,plain,(
% 32.39/5.03 ~spl8_110 | spl8_3 | ~spl8_20),
% 32.39/5.03 inference(avatar_split_clause,[],[f886,f254,f158,f903])).
% 32.39/5.03 tff(f886,plain,(
% 32.39/5.03 ~$less(abs(sK2),sK2) | (spl8_3 | ~spl8_20)),
% 32.39/5.03 inference(resolution,[],[f231,f255])).
% 32.39/5.03 tff(f901,plain,(
% 32.39/5.03 ~spl8_61 | spl8_3 | ~spl8_27),
% 32.39/5.03 inference(avatar_split_clause,[],[f887,f295,f158,f520])).
% 32.39/5.03 tff(f887,plain,(
% 32.39/5.03 ~$less(abs(0),sK2) | (spl8_3 | ~spl8_27)),
% 32.39/5.03 inference(resolution,[],[f231,f296])).
% 32.39/5.03 tff(f885,plain,(
% 32.39/5.03 spl8_105 | spl8_109 | spl8_68),
% 32.39/5.03 inference(avatar_split_clause,[],[f855,f567,f882,f863])).
% 32.39/5.03 tff(f882,plain,(
% 32.39/5.03 spl8_109 <=> sQ4_eqProxy(2,x2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_109])])).
% 32.39/5.03 tff(f855,plain,(
% 32.39/5.03 sQ4_eqProxy(2,x2) | $less(2,x2) | spl8_68),
% 32.39/5.03 inference(resolution,[],[f569,f124])).
% 32.39/5.03 tff(f880,plain,(
% 32.39/5.03 spl8_108 | spl8_68),
% 32.39/5.03 inference(avatar_split_clause,[],[f853,f567,f877])).
% 32.39/5.03 tff(f877,plain,(
% 32.39/5.03 spl8_108 <=> $less(2,$sum(x2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_108])])).
% 32.39/5.03 tff(f853,plain,(
% 32.39/5.03 $less(2,$sum(x2,1)) | spl8_68),
% 32.39/5.03 inference(resolution,[],[f569,f38])).
% 32.39/5.03 tff(f875,plain,(
% 32.39/5.03 ~spl8_106 | spl8_107 | spl8_68),
% 32.39/5.03 inference(avatar_split_clause,[],[f852,f567,f872,f868])).
% 32.39/5.03 tff(f868,plain,(
% 32.39/5.03 spl8_106 <=> $less(x2,abs(2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_106])])).
% 32.39/5.03 tff(f872,plain,(
% 32.39/5.03 spl8_107 <=> $less(2,$uminus(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_107])])).
% 32.39/5.03 tff(f852,plain,(
% 32.39/5.03 $less(2,$uminus(x2)) | ~$less(x2,abs(2)) | spl8_68),
% 32.39/5.03 inference(resolution,[],[f569,f89])).
% 32.39/5.03 tff(f866,plain,(
% 32.39/5.03 spl8_104 | spl8_105 | spl8_68),
% 32.39/5.03 inference(avatar_split_clause,[],[f856,f567,f863,f859])).
% 32.39/5.03 tff(f859,plain,(
% 32.39/5.03 spl8_104 <=> sQ4_eqProxy(x2,2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_104])])).
% 32.39/5.03 tff(f856,plain,(
% 32.39/5.03 sQ4_eqProxy(x2,2) | $less(2,x2) | spl8_68),
% 32.39/5.03 inference(resolution,[],[f569,f124])).
% 32.39/5.03 tff(f851,plain,(
% 32.39/5.03 ~spl8_103 | spl8_2 | ~spl8_19),
% 32.39/5.03 inference(avatar_split_clause,[],[f827,f250,f153,f848])).
% 32.39/5.03 tff(f827,plain,(
% 32.39/5.03 ~$less($uminus(x2),0) | (spl8_2 | ~spl8_19)),
% 32.39/5.03 inference(resolution,[],[f192,f252])).
% 32.39/5.03 tff(f846,plain,(
% 32.39/5.03 ~spl8_102 | spl8_2 | ~spl8_21),
% 32.39/5.03 inference(avatar_split_clause,[],[f828,f259,f153,f843])).
% 32.39/5.03 tff(f828,plain,(
% 32.39/5.03 ~$less($sum(x2,1),0) | (spl8_2 | ~spl8_21)),
% 32.39/5.03 inference(resolution,[],[f192,f261])).
% 32.39/5.03 tff(f824,plain,(
% 32.39/5.03 spl8_101 | spl8_96 | spl8_58),
% 32.39/5.03 inference(avatar_split_clause,[],[f794,f496,f798,f821])).
% 32.39/5.03 tff(f821,plain,(
% 32.39/5.03 spl8_101 <=> sQ4_eqProxy(2,sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_101])])).
% 32.39/5.03 tff(f794,plain,(
% 32.39/5.03 $less(2,sK2) | sQ4_eqProxy(2,sK2) | spl8_58),
% 32.39/5.03 inference(resolution,[],[f498,f124])).
% 32.39/5.03 tff(f819,plain,(
% 32.39/5.03 spl8_100 | spl8_58),
% 32.39/5.03 inference(avatar_split_clause,[],[f792,f496,f816])).
% 32.39/5.03 tff(f816,plain,(
% 32.39/5.03 spl8_100 <=> $less(2,$sum(sK2,1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_100])])).
% 32.39/5.03 tff(f792,plain,(
% 32.39/5.03 $less(2,$sum(sK2,1)) | spl8_58),
% 32.39/5.03 inference(resolution,[],[f498,f38])).
% 32.39/5.03 tff(f814,plain,(
% 32.39/5.03 spl8_98 | ~spl8_99 | spl8_58),
% 32.39/5.03 inference(avatar_split_clause,[],[f791,f496,f811,f807])).
% 32.39/5.03 tff(f807,plain,(
% 32.39/5.03 spl8_98 <=> $less(2,$uminus(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_98])])).
% 32.39/5.03 tff(f811,plain,(
% 32.39/5.03 spl8_99 <=> $less(sK2,abs(2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_99])])).
% 32.39/5.03 tff(f791,plain,(
% 32.39/5.03 $less(2,$uminus(sK2)) | ~$less(sK2,abs(2)) | spl8_58),
% 32.39/5.03 inference(resolution,[],[f498,f89])).
% 32.39/5.03 tff(f805,plain,(
% 32.39/5.03 spl8_96 | spl8_97 | spl8_58),
% 32.39/5.03 inference(avatar_split_clause,[],[f795,f496,f802,f798])).
% 32.39/5.03 tff(f802,plain,(
% 32.39/5.03 spl8_97 <=> sQ4_eqProxy(sK2,2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_97])])).
% 32.39/5.03 tff(f795,plain,(
% 32.39/5.03 sQ4_eqProxy(sK2,2) | $less(2,sK2) | spl8_58),
% 32.39/5.03 inference(resolution,[],[f498,f124])).
% 32.39/5.03 tff(f790,plain,(
% 32.39/5.03 ~spl8_95 | ~spl8_35),
% 32.39/5.03 inference(avatar_split_clause,[],[f777,f360,f787])).
% 32.39/5.03 tff(f777,plain,(
% 32.39/5.03 ~$less($product(2,y2),$sum(sK0,1)) | ~spl8_35),
% 32.39/5.03 inference(resolution,[],[f362,f46])).
% 32.39/5.03 tff(f785,plain,(
% 32.39/5.03 spl8_94 | ~spl8_35),
% 32.39/5.03 inference(avatar_split_clause,[],[f776,f360,f782])).
% 32.39/5.03 tff(f776,plain,(
% 32.39/5.03 $less(sK0,abs($product(2,y2))) | ~spl8_35),
% 32.39/5.03 inference(resolution,[],[f362,f87])).
% 32.39/5.03 tff(f775,plain,(
% 32.39/5.03 spl8_93 | ~spl8_22),
% 32.39/5.03 inference(avatar_split_clause,[],[f759,f272,f772])).
% 32.39/5.03 tff(f759,plain,(
% 32.39/5.03 $less(0,abs($sum(x2,1))) | ~spl8_22),
% 32.39/5.03 inference(resolution,[],[f274,f87])).
% 32.39/5.03 tff(f770,plain,(
% 32.39/5.03 ~spl8_92 | ~spl8_22),
% 32.39/5.03 inference(avatar_split_clause,[],[f765,f272,f767])).
% 32.39/5.03 tff(f765,plain,(
% 32.39/5.03 ~$less($sum(x2,1),1) | ~spl8_22),
% 32.39/5.03 inference(evaluation,[],[f760])).
% 32.39/5.03 tff(f760,plain,(
% 32.39/5.03 ~$less($sum(x2,1),$sum(0,1)) | ~spl8_22),
% 32.39/5.03 inference(resolution,[],[f274,f46])).
% 32.39/5.03 tff(f757,plain,(
% 32.39/5.03 ~spl8_91 | ~spl8_21),
% 32.39/5.03 inference(avatar_split_clause,[],[f744,f259,f754])).
% 32.39/5.03 tff(f744,plain,(
% 32.39/5.03 ~$less($sum(x2,1),$sum(sK2,1)) | ~spl8_21),
% 32.39/5.03 inference(resolution,[],[f261,f46])).
% 32.39/5.03 tff(f752,plain,(
% 32.39/5.03 spl8_90 | ~spl8_21),
% 32.39/5.03 inference(avatar_split_clause,[],[f743,f259,f749])).
% 32.39/5.03 tff(f743,plain,(
% 32.39/5.03 $less(sK2,abs($sum(x2,1))) | ~spl8_21),
% 32.39/5.03 inference(resolution,[],[f261,f87])).
% 32.39/5.03 tff(f741,plain,(
% 32.39/5.03 ~spl8_89 | ~spl8_15),
% 32.39/5.03 inference(avatar_split_clause,[],[f730,f225,f738])).
% 32.39/5.03 tff(f730,plain,(
% 32.39/5.03 ~$less($sum(sK2,1),1) | ~spl8_15),
% 32.39/5.03 inference(evaluation,[],[f726])).
% 32.39/5.03 tff(f726,plain,(
% 32.39/5.03 ~$less($sum(sK2,1),$sum(0,1)) | ~spl8_15),
% 32.39/5.03 inference(resolution,[],[f227,f46])).
% 32.39/5.03 tff(f736,plain,(
% 32.39/5.03 spl8_88 | ~spl8_15),
% 32.39/5.03 inference(avatar_split_clause,[],[f725,f225,f733])).
% 32.39/5.03 tff(f725,plain,(
% 32.39/5.03 $less(0,abs($sum(sK2,1))) | ~spl8_15),
% 32.39/5.03 inference(resolution,[],[f227,f87])).
% 32.39/5.03 tff(f723,plain,(
% 32.39/5.03 spl8_84 | ~spl8_27),
% 32.39/5.03 inference(avatar_split_clause,[],[f717,f295,f689])).
% 32.39/5.03 tff(f717,plain,(
% 32.39/5.03 $less(x2,abs(abs(0))) | ~spl8_27),
% 32.39/5.03 inference(resolution,[],[f296,f87])).
% 32.39/5.03 tff(f722,plain,(
% 32.39/5.03 ~spl8_82 | ~spl8_27),
% 32.39/5.03 inference(avatar_split_clause,[],[f718,f295,f679])).
% 32.39/5.03 tff(f718,plain,(
% 32.39/5.03 ~$less(abs(0),$sum(x2,1)) | ~spl8_27),
% 32.39/5.03 inference(resolution,[],[f296,f46])).
% 32.39/5.03 tff(f715,plain,(
% 32.39/5.03 ~spl8_87 | ~spl8_26),
% 32.39/5.03 inference(avatar_split_clause,[],[f704,f291,f712])).
% 32.39/5.03 tff(f704,plain,(
% 32.39/5.03 ~$less($uminus(x2),1) | ~spl8_26),
% 32.39/5.03 inference(evaluation,[],[f700])).
% 32.39/5.03 tff(f700,plain,(
% 32.39/5.03 ~$less($uminus(x2),$sum(0,1)) | ~spl8_26),
% 32.39/5.03 inference(resolution,[],[f293,f46])).
% 32.39/5.03 tff(f710,plain,(
% 32.39/5.03 spl8_86 | ~spl8_26),
% 32.39/5.03 inference(avatar_split_clause,[],[f699,f291,f707])).
% 32.39/5.03 tff(f699,plain,(
% 32.39/5.03 $less(0,abs($uminus(x2))) | ~spl8_26),
% 32.39/5.03 inference(resolution,[],[f293,f87])).
% 32.39/5.03 tff(f697,plain,(
% 32.39/5.03 spl8_85 | spl8_81 | spl8_27),
% 32.39/5.03 inference(avatar_split_clause,[],[f667,f295,f674,f694])).
% 32.39/5.03 tff(f667,plain,(
% 32.39/5.03 $less(abs(0),x2) | sQ4_eqProxy(x2,abs(0)) | spl8_27),
% 32.39/5.03 inference(resolution,[],[f297,f124])).
% 32.39/5.03 tff(f297,plain,(
% 32.39/5.03 ~$less(x2,abs(0)) | spl8_27),
% 32.39/5.03 inference(avatar_component_clause,[],[f295])).
% 32.39/5.03 tff(f692,plain,(
% 32.39/5.03 spl8_83 | ~spl8_84 | spl8_27),
% 32.39/5.03 inference(avatar_split_clause,[],[f663,f295,f689,f685])).
% 32.39/5.03 tff(f685,plain,(
% 32.39/5.03 spl8_83 <=> $less(abs(0),$uminus(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_83])])).
% 32.39/5.03 tff(f663,plain,(
% 32.39/5.03 ~$less(x2,abs(abs(0))) | $less(abs(0),$uminus(x2)) | spl8_27),
% 32.39/5.03 inference(resolution,[],[f297,f89])).
% 32.39/5.03 tff(f683,plain,(
% 32.39/5.03 ~spl8_26 | spl8_27),
% 32.39/5.03 inference(avatar_split_clause,[],[f662,f295,f291])).
% 32.39/5.03 tff(f662,plain,(
% 32.39/5.03 ~$less(0,$uminus(x2)) | spl8_27),
% 32.39/5.03 inference(resolution,[],[f297,f88])).
% 32.39/5.03 tff(f682,plain,(
% 32.39/5.03 spl8_82 | spl8_27),
% 32.39/5.03 inference(avatar_split_clause,[],[f664,f295,f679])).
% 32.39/5.03 tff(f664,plain,(
% 32.39/5.03 $less(abs(0),$sum(x2,1)) | spl8_27),
% 32.39/5.03 inference(resolution,[],[f297,f38])).
% 32.39/5.03 tff(f677,plain,(
% 32.39/5.03 spl8_80 | spl8_81 | spl8_27),
% 32.39/5.03 inference(avatar_split_clause,[],[f666,f295,f674,f670])).
% 32.39/5.03 tff(f666,plain,(
% 32.39/5.03 sQ4_eqProxy(abs(0),x2) | $less(abs(0),x2) | spl8_27),
% 32.39/5.03 inference(resolution,[],[f297,f124])).
% 32.39/5.03 tff(f660,plain,(
% 32.39/5.03 spl8_79 | ~spl8_25),
% 32.39/5.03 inference(avatar_split_clause,[],[f655,f286,f657])).
% 32.39/5.03 tff(f655,plain,(
% 32.39/5.03 sQ4_eqProxy(x2,abs(x2)) | ~spl8_25),
% 32.39/5.03 inference(resolution,[],[f288,f142])).
% 32.39/5.03 tff(f652,plain,(
% 32.39/5.03 ~spl8_73 | ~spl8_20),
% 32.39/5.03 inference(avatar_split_clause,[],[f647,f254,f610])).
% 32.39/5.03 tff(f647,plain,(
% 32.39/5.03 ~$less(abs(sK2),$sum(x2,1)) | ~spl8_20),
% 32.39/5.03 inference(resolution,[],[f255,f46])).
% 32.39/5.03 tff(f651,plain,(
% 32.39/5.03 spl8_74 | ~spl8_20),
% 32.39/5.03 inference(avatar_split_clause,[],[f646,f254,f615])).
% 32.39/5.03 tff(f646,plain,(
% 32.39/5.03 $less(x2,abs(abs(sK2))) | ~spl8_20),
% 32.39/5.03 inference(resolution,[],[f255,f87])).
% 32.39/5.03 tff(f644,plain,(
% 32.39/5.03 ~spl8_78 | ~spl8_19),
% 32.39/5.03 inference(avatar_split_clause,[],[f631,f250,f641])).
% 32.39/5.03 tff(f631,plain,(
% 32.39/5.03 ~$less($uminus(x2),$sum(sK2,1)) | ~spl8_19),
% 32.39/5.03 inference(resolution,[],[f252,f46])).
% 32.39/5.03 tff(f639,plain,(
% 32.39/5.03 spl8_77 | ~spl8_19),
% 32.39/5.03 inference(avatar_split_clause,[],[f630,f250,f636])).
% 32.39/5.03 tff(f630,plain,(
% 32.39/5.03 $less(sK2,abs($uminus(x2))) | ~spl8_19),
% 32.39/5.03 inference(resolution,[],[f252,f87])).
% 32.39/5.03 tff(f628,plain,(
% 32.39/5.03 ~spl8_19 | spl8_20),
% 32.39/5.03 inference(avatar_split_clause,[],[f593,f254,f250])).
% 32.39/5.03 tff(f593,plain,(
% 32.39/5.03 ~$less(sK2,$uminus(x2)) | spl8_20),
% 32.39/5.03 inference(resolution,[],[f256,f88])).
% 32.39/5.03 tff(f256,plain,(
% 32.39/5.03 ~$less(x2,abs(sK2)) | spl8_20),
% 32.39/5.03 inference(avatar_component_clause,[],[f254])).
% 32.39/5.03 tff(f627,plain,(
% 32.39/5.03 spl8_72 | spl8_76 | spl8_20),
% 32.39/5.03 inference(avatar_split_clause,[],[f598,f254,f624,f605])).
% 32.39/5.03 tff(f598,plain,(
% 32.39/5.03 $less(abs(sK2),x2) | sQ4_eqProxy(x2,abs(sK2)) | spl8_20),
% 32.39/5.03 inference(resolution,[],[f256,f124])).
% 32.39/5.03 tff(f622,plain,(
% 32.39/5.03 ~spl8_74 | spl8_75 | spl8_20),
% 32.39/5.03 inference(avatar_split_clause,[],[f594,f254,f619,f615])).
% 32.39/5.03 tff(f619,plain,(
% 32.39/5.03 spl8_75 <=> $less(abs(sK2),$uminus(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_75])])).
% 32.39/5.03 tff(f594,plain,(
% 32.39/5.03 ~$less(x2,abs(abs(sK2))) | $less(abs(sK2),$uminus(x2)) | spl8_20),
% 32.39/5.03 inference(resolution,[],[f256,f89])).
% 32.39/5.03 tff(f613,plain,(
% 32.39/5.03 spl8_73 | spl8_20),
% 32.39/5.03 inference(avatar_split_clause,[],[f595,f254,f610])).
% 32.39/5.03 tff(f595,plain,(
% 32.39/5.03 $less(abs(sK2),$sum(x2,1)) | spl8_20),
% 32.39/5.03 inference(resolution,[],[f256,f38])).
% 32.39/5.03 tff(f608,plain,(
% 32.39/5.03 spl8_71 | spl8_72 | spl8_20),
% 32.39/5.03 inference(avatar_split_clause,[],[f597,f254,f605,f601])).
% 32.39/5.03 tff(f597,plain,(
% 32.39/5.03 $less(abs(sK2),x2) | sQ4_eqProxy(abs(sK2),x2) | spl8_20),
% 32.39/5.03 inference(resolution,[],[f256,f124])).
% 32.39/5.03 tff(f591,plain,(
% 32.39/5.03 spl8_70 | ~spl8_11),
% 32.39/5.03 inference(avatar_split_clause,[],[f586,f206,f588])).
% 32.39/5.03 tff(f586,plain,(
% 32.39/5.03 sQ4_eqProxy(sK2,abs(sK2)) | ~spl8_11),
% 32.39/5.03 inference(resolution,[],[f208,f142])).
% 32.39/5.03 tff(f583,plain,(
% 32.39/5.03 spl8_63 | ~spl8_10),
% 32.39/5.03 inference(avatar_split_clause,[],[f577,f201,f529])).
% 32.39/5.03 tff(f577,plain,(
% 32.39/5.03 $less(sK2,abs(abs(0))) | ~spl8_10),
% 32.39/5.03 inference(resolution,[],[f202,f87])).
% 32.39/5.03 tff(f582,plain,(
% 32.39/5.03 ~spl8_60 | ~spl8_10),
% 32.39/5.03 inference(avatar_split_clause,[],[f578,f201,f515])).
% 32.39/5.03 tff(f578,plain,(
% 32.39/5.03 ~$less(abs(0),$sum(sK2,1)) | ~spl8_10),
% 32.39/5.03 inference(resolution,[],[f202,f46])).
% 32.39/5.03 tff(f575,plain,(
% 32.39/5.03 spl8_69 | ~spl8_56),
% 32.39/5.03 inference(avatar_split_clause,[],[f560,f480,f572])).
% 32.39/5.03 tff(f572,plain,(
% 32.39/5.03 spl8_69 <=> $less(1,abs(x2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_69])])).
% 32.39/5.03 tff(f480,plain,(
% 32.39/5.03 spl8_56 <=> $less(1,x2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_56])])).
% 32.39/5.03 tff(f560,plain,(
% 32.39/5.03 $less(1,abs(x2)) | ~spl8_56),
% 32.39/5.03 inference(resolution,[],[f482,f87])).
% 32.39/5.03 tff(f482,plain,(
% 32.39/5.03 $less(1,x2) | ~spl8_56),
% 32.39/5.03 inference(avatar_component_clause,[],[f480])).
% 32.39/5.03 tff(f570,plain,(
% 32.39/5.03 ~spl8_68 | ~spl8_56),
% 32.39/5.03 inference(avatar_split_clause,[],[f565,f480,f567])).
% 32.39/5.03 tff(f565,plain,(
% 32.39/5.03 ~$less(x2,2) | ~spl8_56),
% 32.39/5.03 inference(evaluation,[],[f561])).
% 32.39/5.03 tff(f561,plain,(
% 32.39/5.03 ~$less(x2,$sum(1,1)) | ~spl8_56),
% 32.39/5.03 inference(resolution,[],[f482,f46])).
% 32.39/5.03 tff(f559,plain,(
% 32.39/5.03 spl8_67 | ~spl8_9),
% 32.39/5.03 inference(avatar_split_clause,[],[f543,f197,f556])).
% 32.39/5.03 tff(f543,plain,(
% 32.39/5.03 $less(0,abs($uminus(sK2))) | ~spl8_9),
% 32.39/5.03 inference(resolution,[],[f199,f87])).
% 32.39/5.03 tff(f554,plain,(
% 32.39/5.03 ~spl8_66 | ~spl8_9),
% 32.39/5.03 inference(avatar_split_clause,[],[f549,f197,f551])).
% 32.39/5.03 tff(f549,plain,(
% 32.39/5.03 ~$less($uminus(sK2),1) | ~spl8_9),
% 32.39/5.03 inference(evaluation,[],[f544])).
% 32.39/5.03 tff(f544,plain,(
% 32.39/5.03 ~$less($uminus(sK2),$sum(0,1)) | ~spl8_9),
% 32.39/5.03 inference(resolution,[],[f199,f46])).
% 32.39/5.03 tff(f541,plain,(
% 32.39/5.03 spl8_65 | spl8_61 | spl8_10),
% 32.39/5.03 inference(avatar_split_clause,[],[f511,f201,f520,f538])).
% 32.39/5.03 tff(f511,plain,(
% 32.39/5.03 sQ4_eqProxy(sK2,abs(0)) | $less(abs(0),sK2) | spl8_10),
% 32.39/5.03 inference(resolution,[],[f203,f124])).
% 32.39/5.03 tff(f203,plain,(
% 32.39/5.03 ~$less(sK2,abs(0)) | spl8_10),
% 32.39/5.03 inference(avatar_component_clause,[],[f201])).
% 32.39/5.03 tff(f536,plain,(
% 32.39/5.03 ~spl8_63 | spl8_64 | spl8_10),
% 32.39/5.03 inference(avatar_split_clause,[],[f507,f201,f533,f529])).
% 32.39/5.03 tff(f533,plain,(
% 32.39/5.03 spl8_64 <=> $less(abs(0),$uminus(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_64])])).
% 32.39/5.03 tff(f507,plain,(
% 32.39/5.03 ~$less(sK2,abs(abs(0))) | $less(abs(0),$uminus(sK2)) | spl8_10),
% 32.39/5.03 inference(resolution,[],[f203,f89])).
% 32.39/5.03 tff(f527,plain,(
% 32.39/5.03 spl8_61 | spl8_62 | spl8_10),
% 32.39/5.03 inference(avatar_split_clause,[],[f510,f201,f524,f520])).
% 32.39/5.03 tff(f510,plain,(
% 32.39/5.03 $less(abs(0),sK2) | sQ4_eqProxy(abs(0),sK2) | spl8_10),
% 32.39/5.03 inference(resolution,[],[f203,f124])).
% 32.39/5.03 tff(f518,plain,(
% 32.39/5.03 spl8_60 | spl8_10),
% 32.39/5.03 inference(avatar_split_clause,[],[f508,f201,f515])).
% 32.39/5.03 tff(f508,plain,(
% 32.39/5.03 $less(abs(0),$sum(sK2,1)) | spl8_10),
% 32.39/5.03 inference(resolution,[],[f203,f38])).
% 32.39/5.03 tff(f513,plain,(
% 32.39/5.03 ~spl8_9 | spl8_10),
% 32.39/5.03 inference(avatar_split_clause,[],[f506,f201,f197])).
% 32.39/5.03 tff(f506,plain,(
% 32.39/5.03 ~$less(0,$uminus(sK2)) | spl8_10),
% 32.39/5.03 inference(resolution,[],[f203,f88])).
% 32.39/5.03 tff(f504,plain,(
% 32.39/5.03 spl8_59 | ~spl8_42),
% 32.39/5.03 inference(avatar_split_clause,[],[f489,f399,f501])).
% 32.39/5.03 tff(f501,plain,(
% 32.39/5.03 spl8_59 <=> $less(1,abs(sK2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_59])])).
% 32.39/5.03 tff(f399,plain,(
% 32.39/5.03 spl8_42 <=> $less(1,sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_42])])).
% 32.39/5.03 tff(f489,plain,(
% 32.39/5.03 $less(1,abs(sK2)) | ~spl8_42),
% 32.39/5.03 inference(resolution,[],[f401,f87])).
% 32.39/5.03 tff(f401,plain,(
% 32.39/5.03 $less(1,sK2) | ~spl8_42),
% 32.39/5.03 inference(avatar_component_clause,[],[f399])).
% 32.39/5.03 tff(f499,plain,(
% 32.39/5.03 ~spl8_58 | ~spl8_42),
% 32.39/5.03 inference(avatar_split_clause,[],[f494,f399,f496])).
% 32.39/5.03 tff(f494,plain,(
% 32.39/5.03 ~$less(sK2,2) | ~spl8_42),
% 32.39/5.03 inference(evaluation,[],[f490])).
% 32.39/5.03 tff(f490,plain,(
% 32.39/5.03 ~$less(sK2,$sum(1,1)) | ~spl8_42),
% 32.39/5.03 inference(resolution,[],[f401,f46])).
% 32.39/5.03 tff(f488,plain,(
% 32.39/5.03 spl8_56 | spl8_57 | spl8_33),
% 32.39/5.03 inference(avatar_split_clause,[],[f463,f344,f485,f480])).
% 32.39/5.03 tff(f485,plain,(
% 32.39/5.03 spl8_57 <=> sQ4_eqProxy(x2,1)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_57])])).
% 32.39/5.03 tff(f463,plain,(
% 32.39/5.03 sQ4_eqProxy(x2,1) | $less(1,x2) | spl8_33),
% 32.39/5.03 inference(resolution,[],[f346,f124])).
% 32.39/5.03 tff(f483,plain,(
% 32.39/5.03 spl8_55 | spl8_56 | spl8_33),
% 32.39/5.03 inference(avatar_split_clause,[],[f462,f344,f480,f476])).
% 32.39/5.03 tff(f476,plain,(
% 32.39/5.03 spl8_55 <=> sQ4_eqProxy(1,x2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_55])])).
% 32.39/5.03 tff(f462,plain,(
% 32.39/5.03 $less(1,x2) | sQ4_eqProxy(1,x2) | spl8_33),
% 32.39/5.03 inference(resolution,[],[f346,f124])).
% 32.39/5.03 tff(f474,plain,(
% 32.39/5.03 ~spl8_53 | spl8_54 | spl8_33),
% 32.39/5.03 inference(avatar_split_clause,[],[f459,f344,f471,f467])).
% 32.39/5.03 tff(f467,plain,(
% 32.39/5.03 spl8_53 <=> $less(x2,abs(1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_53])])).
% 32.39/5.03 tff(f459,plain,(
% 32.39/5.03 $less(1,$uminus(x2)) | ~$less(x2,abs(1)) | spl8_33),
% 32.39/5.03 inference(resolution,[],[f346,f89])).
% 32.39/5.03 tff(f458,plain,(
% 32.39/5.03 spl8_52 | ~spl8_5),
% 32.39/5.03 inference(avatar_split_clause,[],[f453,f168,f455])).
% 32.39/5.03 tff(f453,plain,(
% 32.39/5.03 sQ4_eqProxy($sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))),sK0) | ~spl8_5),
% 32.39/5.03 inference(resolution,[],[f170,f142])).
% 32.39/5.03 tff(f450,plain,(
% 32.39/5.03 spl8_51 | spl8_46 | spl8_7),
% 32.39/5.03 inference(avatar_split_clause,[],[f420,f178,f424,f447])).
% 32.39/5.03 tff(f447,plain,(
% 32.39/5.03 spl8_51 <=> sQ4_eqProxy($product(2,$sum(y2,$uminus(x2))),sK0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_51])])).
% 32.39/5.03 tff(f420,plain,(
% 32.39/5.03 sQ4_eqProxy($product(2,$sum(y2,$uminus(x2))),sK0) | $less($product(2,$sum(y2,$uminus(x2))),sK0) | spl8_7),
% 32.39/5.03 inference(resolution,[],[f180,f124])).
% 32.39/5.03 tff(f445,plain,(
% 32.39/5.03 spl8_50 | spl8_7),
% 32.39/5.03 inference(avatar_split_clause,[],[f418,f178,f442])).
% 32.39/5.03 tff(f418,plain,(
% 32.39/5.03 $less($product(2,$sum(y2,$uminus(x2))),$sum(sK0,1)) | spl8_7),
% 32.39/5.03 inference(resolution,[],[f180,f38])).
% 32.39/5.03 tff(f440,plain,(
% 32.39/5.03 spl8_48 | ~spl8_49 | spl8_7),
% 32.39/5.03 inference(avatar_split_clause,[],[f417,f178,f437,f433])).
% 32.39/5.03 tff(f417,plain,(
% 32.39/5.03 ~$less(sK0,abs($product(2,$sum(y2,$uminus(x2))))) | $less($product(2,$sum(y2,$uminus(x2))),$uminus(sK0)) | spl8_7),
% 32.39/5.03 inference(resolution,[],[f180,f89])).
% 32.39/5.03 tff(f431,plain,(
% 32.39/5.03 spl8_46 | spl8_47 | spl8_7),
% 32.39/5.03 inference(avatar_split_clause,[],[f421,f178,f428,f424])).
% 32.39/5.03 tff(f428,plain,(
% 32.39/5.03 spl8_47 <=> sQ4_eqProxy(sK0,$product(2,$sum(y2,$uminus(x2))))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_47])])).
% 32.39/5.03 tff(f421,plain,(
% 32.39/5.03 $less($product(2,$sum(y2,$uminus(x2))),sK0) | sQ4_eqProxy(sK0,$product(2,$sum(y2,$uminus(x2)))) | spl8_7),
% 32.39/5.03 inference(resolution,[],[f180,f124])).
% 32.39/5.03 tff(f416,plain,(
% 32.39/5.03 ~spl8_44 | spl8_45 | spl8_30),
% 32.39/5.03 inference(avatar_split_clause,[],[f387,f317,f413,f409])).
% 32.39/5.03 tff(f409,plain,(
% 32.39/5.03 spl8_44 <=> $less(sK2,abs(1))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_44])])).
% 32.39/5.03 tff(f387,plain,(
% 32.39/5.03 $less(1,$uminus(sK2)) | ~$less(sK2,abs(1)) | spl8_30),
% 32.39/5.03 inference(resolution,[],[f319,f89])).
% 32.39/5.03 tff(f407,plain,(
% 32.39/5.03 spl8_43 | spl8_42 | spl8_30),
% 32.39/5.03 inference(avatar_split_clause,[],[f390,f317,f399,f404])).
% 32.39/5.03 tff(f404,plain,(
% 32.39/5.03 spl8_43 <=> sQ4_eqProxy(1,sK2)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_43])])).
% 32.39/5.03 tff(f390,plain,(
% 32.39/5.03 $less(1,sK2) | sQ4_eqProxy(1,sK2) | spl8_30),
% 32.39/5.03 inference(resolution,[],[f319,f124])).
% 32.39/5.03 tff(f402,plain,(
% 32.39/5.03 spl8_41 | spl8_42 | spl8_30),
% 32.39/5.03 inference(avatar_split_clause,[],[f391,f317,f399,f395])).
% 32.39/5.03 tff(f395,plain,(
% 32.39/5.03 spl8_41 <=> sQ4_eqProxy(sK2,1)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_41])])).
% 32.39/5.03 tff(f391,plain,(
% 32.39/5.03 $less(1,sK2) | sQ4_eqProxy(sK2,1) | spl8_30),
% 32.39/5.03 inference(resolution,[],[f319,f124])).
% 32.39/5.03 tff(f386,plain,(
% 32.39/5.03 spl8_40 | spl8_4),
% 32.39/5.03 inference(avatar_split_clause,[],[f354,f163,f383])).
% 32.39/5.03 tff(f354,plain,(
% 32.39/5.03 $less(sK0,$sum($product(2,y2),1)) | spl8_4),
% 32.39/5.03 inference(resolution,[],[f165,f38])).
% 32.39/5.03 tff(f381,plain,(
% 32.39/5.03 spl8_38 | ~spl8_39 | spl8_4),
% 32.39/5.03 inference(avatar_split_clause,[],[f353,f163,f378,f374])).
% 32.39/5.03 tff(f353,plain,(
% 32.39/5.03 ~$less($product(2,y2),abs(sK0)) | $less(sK0,$uminus($product(2,y2))) | spl8_4),
% 32.39/5.03 inference(resolution,[],[f165,f89])).
% 32.39/5.03 tff(f372,plain,(
% 32.39/5.03 spl8_35 | spl8_37 | spl8_4),
% 32.39/5.03 inference(avatar_split_clause,[],[f357,f163,f369,f360])).
% 32.39/5.03 tff(f369,plain,(
% 32.39/5.03 spl8_37 <=> sQ4_eqProxy($product(2,y2),sK0)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_37])])).
% 32.39/5.03 tff(f357,plain,(
% 32.39/5.03 $less(sK0,$product(2,y2)) | sQ4_eqProxy($product(2,y2),sK0) | spl8_4),
% 32.39/5.03 inference(resolution,[],[f165,f124])).
% 32.39/5.03 tff(f367,plain,(
% 32.39/5.03 spl8_35 | spl8_36 | spl8_4),
% 32.39/5.03 inference(avatar_split_clause,[],[f356,f163,f364,f360])).
% 32.39/5.03 tff(f364,plain,(
% 32.39/5.03 spl8_36 <=> sQ4_eqProxy(sK0,$product(2,y2))),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_36])])).
% 32.39/5.03 tff(f356,plain,(
% 32.39/5.03 $less(sK0,$product(2,y2)) | sQ4_eqProxy(sK0,$product(2,y2)) | spl8_4),
% 32.39/5.03 inference(resolution,[],[f165,f124])).
% 32.39/5.03 tff(f352,plain,(
% 32.39/5.03 spl8_34 | ~spl8_23),
% 32.39/5.03 inference(avatar_split_clause,[],[f336,f277,f349])).
% 32.39/5.03 tff(f336,plain,(
% 32.39/5.03 $less(0,abs(x2)) | ~spl8_23),
% 32.39/5.03 inference(resolution,[],[f279,f87])).
% 32.39/5.03 tff(f347,plain,(
% 32.39/5.03 ~spl8_33 | ~spl8_23),
% 32.39/5.03 inference(avatar_split_clause,[],[f341,f277,f344])).
% 32.39/5.03 tff(f341,plain,(
% 32.39/5.03 ~$less(x2,1) | ~spl8_23),
% 32.39/5.03 inference(evaluation,[],[f337])).
% 32.39/5.03 tff(f337,plain,(
% 32.39/5.03 ~$less(x2,$sum(0,1)) | ~spl8_23),
% 32.39/5.03 inference(resolution,[],[f279,f46])).
% 32.39/5.03 tff(f335,plain,(
% 32.39/5.03 spl8_32 | ~spl8_17),
% 32.39/5.03 inference(avatar_split_clause,[],[f321,f240,f332])).
% 32.39/5.03 tff(f321,plain,(
% 32.39/5.03 $less(sK2,abs(x2)) | ~spl8_17),
% 32.39/5.03 inference(resolution,[],[f242,f87])).
% 32.39/5.03 tff(f330,plain,(
% 32.39/5.03 ~spl8_31 | ~spl8_17),
% 32.39/5.03 inference(avatar_split_clause,[],[f322,f240,f327])).
% 32.39/5.03 tff(f322,plain,(
% 32.39/5.03 ~$less(x2,$sum(sK2,1)) | ~spl8_17),
% 32.39/5.03 inference(resolution,[],[f242,f46])).
% 32.39/5.03 tff(f320,plain,(
% 32.39/5.03 ~spl8_30 | ~spl8_13),
% 32.39/5.03 inference(avatar_split_clause,[],[f309,f215,f317])).
% 32.39/5.03 tff(f309,plain,(
% 32.39/5.03 ~$less(sK2,1) | ~spl8_13),
% 32.39/5.03 inference(evaluation,[],[f305])).
% 32.39/5.03 tff(f305,plain,(
% 32.39/5.03 ~$less(sK2,$sum(0,1)) | ~spl8_13),
% 32.39/5.03 inference(resolution,[],[f217,f46])).
% 32.39/5.03 tff(f315,plain,(
% 32.39/5.03 spl8_29 | ~spl8_13),
% 32.39/5.03 inference(avatar_split_clause,[],[f304,f215,f312])).
% 32.39/5.03 tff(f304,plain,(
% 32.39/5.03 $less(0,abs(sK2)) | ~spl8_13),
% 32.39/5.03 inference(resolution,[],[f217,f87])).
% 32.39/5.03 tff(f303,plain,(
% 32.39/5.03 spl8_28 | spl8_23 | spl8_6),
% 32.39/5.03 inference(avatar_split_clause,[],[f268,f173,f277,f300])).
% 32.39/5.03 tff(f268,plain,(
% 32.39/5.03 sQ4_eqProxy(0,x2) | $less(0,x2) | spl8_6),
% 32.39/5.03 inference(resolution,[],[f175,f124])).
% 32.39/5.03 tff(f298,plain,(
% 32.39/5.03 spl8_26 | ~spl8_27 | spl8_6),
% 32.39/5.03 inference(avatar_split_clause,[],[f265,f173,f295,f291])).
% 32.39/5.03 tff(f265,plain,(
% 32.39/5.03 $less(0,$uminus(x2)) | ~$less(x2,abs(0)) | spl8_6),
% 32.39/5.03 inference(resolution,[],[f175,f89])).
% 32.39/5.03 tff(f289,plain,(
% 32.39/5.03 spl8_25 | spl8_6),
% 32.39/5.03 inference(avatar_split_clause,[],[f263,f173,f286])).
% 32.39/5.03 tff(f263,plain,(
% 32.39/5.03 sQ4_eqProxy(abs(x2),x2) | spl8_6),
% 32.39/5.03 inference(resolution,[],[f175,f127])).
% 32.39/5.03 tff(f284,plain,(
% 32.39/5.03 spl8_23 | spl8_24 | spl8_6),
% 32.39/5.03 inference(avatar_split_clause,[],[f269,f173,f281,f277])).
% 32.39/5.03 tff(f269,plain,(
% 32.39/5.03 $less(0,x2) | sQ4_eqProxy(x2,0) | spl8_6),
% 32.39/5.03 inference(resolution,[],[f175,f124])).
% 32.39/5.03 tff(f275,plain,(
% 32.39/5.03 spl8_22 | spl8_6),
% 32.39/5.03 inference(avatar_split_clause,[],[f266,f173,f272])).
% 32.39/5.03 tff(f266,plain,(
% 32.39/5.03 $less(0,$sum(x2,1)) | spl8_6),
% 32.39/5.03 inference(resolution,[],[f175,f38])).
% 32.39/5.03 tff(f262,plain,(
% 32.39/5.03 spl8_21 | spl8_3),
% 32.39/5.03 inference(avatar_split_clause,[],[f230,f158,f259])).
% 32.39/5.03 tff(f230,plain,(
% 32.39/5.03 $less(sK2,$sum(x2,1)) | spl8_3),
% 32.39/5.03 inference(resolution,[],[f160,f38])).
% 32.39/5.03 tff(f257,plain,(
% 32.39/5.03 spl8_19 | ~spl8_20 | spl8_3),
% 32.39/5.03 inference(avatar_split_clause,[],[f229,f158,f254,f250])).
% 32.39/5.03 tff(f229,plain,(
% 32.39/5.03 ~$less(x2,abs(sK2)) | $less(sK2,$uminus(x2)) | spl8_3),
% 32.39/5.03 inference(resolution,[],[f160,f89])).
% 32.39/5.03 tff(f248,plain,(
% 32.39/5.03 spl8_18 | spl8_17 | spl8_3),
% 32.39/5.03 inference(avatar_split_clause,[],[f233,f158,f240,f245])).
% 32.39/5.03 tff(f233,plain,(
% 32.39/5.03 sQ4_eqProxy(x2,sK2) | $less(sK2,x2) | spl8_3),
% 32.39/5.03 inference(resolution,[],[f160,f124])).
% 32.39/5.03 tff(f243,plain,(
% 32.39/5.03 spl8_16 | spl8_17 | spl8_3),
% 32.39/5.03 inference(avatar_split_clause,[],[f232,f158,f240,f236])).
% 32.39/5.03 tff(f232,plain,(
% 32.39/5.03 $less(sK2,x2) | sQ4_eqProxy(sK2,x2) | spl8_3),
% 32.39/5.03 inference(resolution,[],[f160,f124])).
% 32.39/5.03 tff(f228,plain,(
% 32.39/5.03 spl8_15 | spl8_2),
% 32.39/5.03 inference(avatar_split_clause,[],[f191,f153,f225])).
% 32.39/5.03 tff(f191,plain,(
% 32.39/5.03 $less(0,$sum(sK2,1)) | spl8_2),
% 32.39/5.03 inference(resolution,[],[f155,f38])).
% 32.39/5.03 tff(f223,plain,(
% 32.39/5.03 spl8_13 | spl8_14 | spl8_2),
% 32.39/5.03 inference(avatar_split_clause,[],[f193,f153,f220,f215])).
% 32.39/5.03 tff(f193,plain,(
% 32.39/5.03 $less(0,sK2) | sQ4_eqProxy(0,sK2) | spl8_2),
% 32.39/5.03 inference(resolution,[],[f155,f124])).
% 32.39/5.03 tff(f218,plain,(
% 32.39/5.03 spl8_12 | spl8_13 | spl8_2),
% 32.39/5.03 inference(avatar_split_clause,[],[f194,f153,f215,f211])).
% 32.39/5.03 tff(f194,plain,(
% 32.39/5.03 sQ4_eqProxy(sK2,0) | $less(0,sK2) | spl8_2),
% 32.39/5.03 inference(resolution,[],[f155,f124])).
% 32.39/5.03 tff(f209,plain,(
% 32.39/5.03 spl8_11 | spl8_2),
% 32.39/5.03 inference(avatar_split_clause,[],[f188,f153,f206])).
% 32.39/5.03 tff(f188,plain,(
% 32.39/5.03 sQ4_eqProxy(abs(sK2),sK2) | spl8_2),
% 32.39/5.03 inference(resolution,[],[f155,f127])).
% 32.39/5.03 tff(f204,plain,(
% 32.39/5.03 spl8_9 | ~spl8_10 | spl8_2),
% 32.39/5.03 inference(avatar_split_clause,[],[f190,f153,f201,f197])).
% 32.39/5.03 tff(f190,plain,(
% 32.39/5.03 ~$less(sK2,abs(0)) | $less(0,$uminus(sK2)) | spl8_2),
% 32.39/5.03 inference(resolution,[],[f155,f89])).
% 32.39/5.03 tff(f187,plain,(
% 32.39/5.03 spl8_8 | spl8_1),
% 32.39/5.03 inference(avatar_split_clause,[],[f182,f148,f184])).
% 32.39/5.03 tff(f148,plain,(
% 32.39/5.03 spl8_1 <=> best(sK2,sK1)),
% 32.39/5.03 introduced(avatar_definition,[new_symbols(naming,[spl8_1])])).
% 32.39/5.03 tff(f182,plain,(
% 32.39/5.03 $less(abs($sum($product(x2,sK3(sK2,sK1)),$uminus($product(sK2,y2)))),abs($sum($product(x2,sK1),$uminus($product(sK2,y2))))) | spl8_1),
% 32.39/5.03 inference(resolution,[],[f150,f95])).
% 32.39/5.03 tff(f95,plain,(
% 32.39/5.03 ( ! [X0 : $int,X1 : $int] : ($less(abs($sum($product(x2,sK3(X0,X1)),$uminus($product(X0,y2)))),abs($sum($product(x2,X1),$uminus($product(X0,y2))))) | best(X0,X1)) )),
% 32.39/5.03 inference(cnf_transformation,[],[f68])).
% 32.39/5.03 tff(f68,plain,(
% 32.39/5.03 ! [X0 : $int,X1 : $int] : (? [X2 : $int] : $less(abs($sum($product(x2,X2),$uminus($product(X0,y2)))),abs($sum($product(x2,X1),$uminus($product(X0,y2))))) | best(X0,X1))),
% 32.39/5.03 inference(ennf_transformation,[],[f63])).
% 32.39/5.03 tff(f63,plain,(
% 32.39/5.03 ! [X0 : $int,X1 : $int] : (! [X2 : $int] : ~$less(abs($sum($product(x2,X2),$uminus($product(X0,y2)))),abs($sum($product(x2,X1),$uminus($product(X0,y2))))) => best(X0,X1))),
% 32.39/5.03 inference(unused_predicate_definition_removal,[],[f48])).
% 32.39/5.03 tff(f48,plain,(
% 32.39/5.03 ! [X0 : $int,X1 : $int] : (best(X0,X1) <=> ! [X2 : $int] : ~$less(abs($sum($product(x2,X2),$uminus($product(X0,y2)))),abs($sum($product(x2,X1),$uminus($product(X0,y2))))))),
% 32.39/5.03 inference(rectify,[],[f22])).
% 32.39/5.03 tff(f22,plain,(
% 32.39/5.03 ! [X1 : $int,X7 : $int] : (best(X1,X7) <=> ! [X8 : $int] : ~$less(abs($sum($product(x2,X8),$uminus($product(X1,y2)))),abs($sum($product(x2,X7),$uminus($product(X1,y2))))))),
% 32.39/5.03 inference(theory_normalization,[],[f17])).
% 32.39/5.03 tff(f17,axiom,(
% 32.39/5.03 ! [X1 : $int,X7 : $int] : (best(X1,X7) <=> ! [X8 : $int] : $lesseq(abs($difference($product(x2,X7),$product(X1,y2))),abs($difference($product(x2,X8),$product(X1,y2)))))),
% 32.39/5.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
% 32.39/5.03 tff(f150,plain,(
% 32.39/5.03 ~best(sK2,sK1) | spl8_1),
% 32.39/5.03 inference(avatar_component_clause,[],[f148])).
% 32.39/5.03 tff(f181,plain,(
% 32.39/5.03 ~spl8_7),
% 32.39/5.03 inference(avatar_split_clause,[],[f77,f178])).
% 32.39/5.03 tff(f77,plain,(
% 32.39/5.03 ~$less(sK0,$product(2,$sum(y2,$uminus(x2))))),
% 32.39/5.03 inference(cnf_transformation,[],[f65])).
% 32.39/5.03 tff(f65,plain,(
% 32.39/5.03 ? [X0 : $int,X2 : $int,X1 : $int] : (~$less($product(2,y2),X0) & ~best(X1,X2) & ~$less(X1,0) & $sum($product($product(2,$sum(X1,1)),y2),$uminus($product($sum($product(2,X2),1),x2))) = X0 & ~$less(X0,$product(2,$sum(y2,$uminus(x2)))) & ~$less(x2,X1)) & ~$less(x2,0)),
% 32.39/5.03 inference(flattening,[],[f64])).
% 32.39/5.03 tff(f64,plain,(
% 32.39/5.03 ? [X1 : $int,X2 : $int,X0 : $int] : ((~best(X1,X2) & ($sum($product($product(2,$sum(X1,1)),y2),$uminus($product($sum($product(2,X2),1),x2))) = X0 & ~$less($product(2,y2),X0) & ~$less(X0,$product(2,$sum(y2,$uminus(x2)))))) & (~$less(x2,X1) & ~$less(X1,0))) & ~$less(x2,0)),
% 32.39/5.03 inference(ennf_transformation,[],[f50])).
% 32.39/5.03 tff(f50,plain,(
% 32.39/5.03 ~(~$less(x2,0) => ! [X1 : $int,X2 : $int,X0 : $int] : ((~$less(x2,X1) & ~$less(X1,0)) => (($sum($product($product(2,$sum(X1,1)),y2),$uminus($product($sum($product(2,X2),1),x2))) = X0 & ~$less($product(2,y2),X0) & ~$less(X0,$product(2,$sum(y2,$uminus(x2))))) => best(X1,X2))))),
% 32.39/5.03 inference(rectify,[],[f23])).
% 32.39/5.03 tff(f23,plain,(
% 32.39/5.03 ~(~$less(x2,0) => ! [X12 : $int,X1 : $int,X7 : $int] : ((~$less(x2,X1) & ~$less(X1,0)) => ((~$less($product(2,y2),X12) & ~$less(X12,$product(2,$sum(y2,$uminus(x2)))) & $sum($product($product(2,$sum(X1,1)),y2),$uminus($product($sum($product(2,X7),1),x2))) = X12) => best(X1,X7))))),
% 32.39/5.03 inference(theory_normalization,[],[f20])).
% 32.39/5.03 tff(f20,negated_conjecture,(
% 32.39/5.03 ~($lesseq(0,x2) => ! [X12 : $int,X1 : $int,X7 : $int] : (($lesseq(0,X1) & $lesseq(X1,x2)) => (($lesseq(X12,$product(2,y2)) & $lesseq($product(2,$difference(y2,x2)),X12) & $difference($product($product(2,$sum(X1,1)),y2),$product($sum($product(2,X7),1),x2)) = X12) => best(X1,X7))))),
% 32.39/5.03 inference(negated_conjecture,[],[f19])).
% 32.39/5.03 tff(f19,conjecture,(
% 32.39/5.03 $lesseq(0,x2) => ! [X12 : $int,X1 : $int,X7 : $int] : (($lesseq(0,X1) & $lesseq(X1,x2)) => (($lesseq(X12,$product(2,y2)) & $lesseq($product(2,$difference(y2,x2)),X12) & $difference($product($product(2,$sum(X1,1)),y2),$product($sum($product(2,X7),1),x2)) = X12) => best(X1,X7)))),
% 32.39/5.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
% 32.39/5.03 tff(f176,plain,(
% 32.39/5.03 ~spl8_6),
% 32.39/5.03 inference(avatar_split_clause,[],[f82,f173])).
% 32.39/5.03 tff(f82,plain,(
% 32.39/5.03 ~$less(x2,0)),
% 32.39/5.03 inference(cnf_transformation,[],[f65])).
% 32.39/5.03 tff(f171,plain,(
% 32.39/5.03 spl8_5),
% 32.39/5.03 inference(avatar_split_clause,[],[f110,f168])).
% 32.39/5.03 tff(f110,plain,(
% 32.39/5.03 sQ4_eqProxy(sK0,$sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2))))),
% 32.39/5.03 inference(equality_proxy_replacement,[],[f78,f105])).
% 32.39/5.03 tff(f78,plain,(
% 32.39/5.03 sK0 = $sum($product($product(2,$sum(sK2,1)),y2),$uminus($product($sum($product(2,sK1),1),x2)))),
% 32.39/5.03 inference(cnf_transformation,[],[f65])).
% 32.39/5.03 tff(f166,plain,(
% 32.39/5.03 ~spl8_4),
% 32.39/5.03 inference(avatar_split_clause,[],[f81,f163])).
% 32.39/5.03 tff(f81,plain,(
% 32.39/5.03 ~$less($product(2,y2),sK0)),
% 32.39/5.03 inference(cnf_transformation,[],[f65])).
% 32.39/5.03 tff(f161,plain,(
% 32.39/5.03 ~spl8_3),
% 32.39/5.03 inference(avatar_split_clause,[],[f76,f158])).
% 32.39/5.03 tff(f76,plain,(
% 32.39/5.03 ~$less(x2,sK2)),
% 32.39/5.03 inference(cnf_transformation,[],[f65])).
% 32.39/5.03 tff(f156,plain,(
% 32.39/5.03 ~spl8_2),
% 32.39/5.03 inference(avatar_split_clause,[],[f79,f153])).
% 32.39/5.03 tff(f79,plain,(
% 32.39/5.03 ~$less(sK2,0)),
% 32.39/5.03 inference(cnf_transformation,[],[f65])).
% 32.39/5.03 tff(f151,plain,(
% 32.39/5.03 ~spl8_1),
% 32.39/5.03 inference(avatar_split_clause,[],[f80,f148])).
% 32.39/5.03 tff(f80,plain,(
% 32.39/5.03 ~best(sK2,sK1)),
% 32.39/5.03 inference(cnf_transformation,[],[f65])).
% 32.39/5.03 % SZS output end Proof for theBenchmark
% 32.39/5.03 % (13785)------------------------------
% 32.39/5.03 % (13785)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 32.39/5.03 % (13785)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 32.39/5.03 % (13785)Termination reason: Refutation
% 32.39/5.03
% 32.39/5.03 % (13785)Memory used [KB]: 3636
% 32.39/5.03 % (13785)Time elapsed: 0.194 s
% 32.39/5.03 % (13785)Instructions burned: 643 (million)
% 32.39/5.03 % (13785)------------------------------
% 32.39/5.03 % (13785)------------------------------
% 32.39/5.03 % (13677)Success in time 4.668 s
%------------------------------------------------------------------------------