TSTP Solution File: LCL867^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL867^1 : TPTP v8.2.0. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n011.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 : Tue May 21 00:23:32 EDT 2024
% Result : Theorem 0.22s 0.45s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL867^1 : TPTP v8.2.0. Bugfixed v5.0.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 02:22:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.22/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.38 % (26357)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.38 % (26358)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.39 % (26359)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.22/0.39 % (26360)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.39 % (26361)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.39 % (26363)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.39 % (26362)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.22/0.39 % (26364)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.39 % (26360)Instruction limit reached!
% 0.22/0.39 % (26360)------------------------------
% 0.22/0.39 % (26360)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (26360)Termination reason: Unknown
% 0.22/0.39 % (26361)Instruction limit reached!
% 0.22/0.39 % (26361)------------------------------
% 0.22/0.39 % (26361)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (26361)Termination reason: Unknown
% 0.22/0.39 % (26361)Termination phase: shuffling
% 0.22/0.39
% 0.22/0.39 % (26361)Memory used [KB]: 1023
% 0.22/0.39 % (26361)Time elapsed: 0.004 s
% 0.22/0.39 % (26361)Instructions burned: 2 (million)
% 0.22/0.39 % (26361)------------------------------
% 0.22/0.39 % (26361)------------------------------
% 0.22/0.39 % (26360)Termination phase: shuffling
% 0.22/0.39
% 0.22/0.39 % (26360)Memory used [KB]: 1023
% 0.22/0.39 % (26360)Time elapsed: 0.004 s
% 0.22/0.39 % (26360)Instructions burned: 2 (million)
% 0.22/0.39 % (26360)------------------------------
% 0.22/0.39 % (26360)------------------------------
% 0.22/0.39 % (26364)Instruction limit reached!
% 0.22/0.39 % (26364)------------------------------
% 0.22/0.39 % (26364)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (26364)Termination reason: Unknown
% 0.22/0.39 % (26364)Termination phase: shuffling
% 0.22/0.39
% 0.22/0.39 % (26364)Memory used [KB]: 1023
% 0.22/0.39 % (26364)Time elapsed: 0.005 s
% 0.22/0.39 % (26364)Instructions burned: 3 (million)
% 0.22/0.39 % (26364)------------------------------
% 0.22/0.39 % (26364)------------------------------
% 0.22/0.39 % (26358)Instruction limit reached!
% 0.22/0.39 % (26358)------------------------------
% 0.22/0.39 % (26358)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (26358)Termination reason: Unknown
% 0.22/0.39 % (26358)Termination phase: Property scanning
% 0.22/0.39
% 0.22/0.39 % (26358)Memory used [KB]: 1023
% 0.22/0.39 % (26358)Time elapsed: 0.006 s
% 0.22/0.39 % (26358)Instructions burned: 4 (million)
% 0.22/0.39 % (26358)------------------------------
% 0.22/0.39 % (26358)------------------------------
% 0.22/0.40 % (26363)Instruction limit reached!
% 0.22/0.40 % (26363)------------------------------
% 0.22/0.40 % (26363)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (26363)Termination reason: Unknown
% 0.22/0.40 % (26363)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (26363)Memory used [KB]: 5628
% 0.22/0.40 % (26363)Time elapsed: 0.018 s
% 0.22/0.40 % (26363)Instructions burned: 18 (million)
% 0.22/0.40 % (26363)------------------------------
% 0.22/0.40 % (26363)------------------------------
% 0.22/0.41 % (26367)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.41 % (26367)Instruction limit reached!
% 0.22/0.41 % (26367)------------------------------
% 0.22/0.41 % (26367)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (26367)Termination reason: Unknown
% 0.22/0.41 % (26367)Termination phase: Property scanning
% 0.22/0.41
% 0.22/0.41 % (26367)Memory used [KB]: 1023
% 0.22/0.41 % (26367)Time elapsed: 0.004 s
% 0.22/0.41 % (26367)Instructions burned: 4 (million)
% 0.22/0.41 % (26367)------------------------------
% 0.22/0.41 % (26367)------------------------------
% 0.22/0.41 % (26359)Instruction limit reached!
% 0.22/0.41 % (26359)------------------------------
% 0.22/0.41 % (26359)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (26359)Termination reason: Unknown
% 0.22/0.41 % (26359)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (26359)Memory used [KB]: 5756
% 0.22/0.41 % (26359)Time elapsed: 0.028 s
% 0.22/0.41 % (26359)Instructions burned: 27 (million)
% 0.22/0.41 % (26359)------------------------------
% 0.22/0.41 % (26359)------------------------------
% 0.22/0.41 % (26368)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.22/0.41 % (26365)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.22/0.41 % (26366)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.22/0.42 % (26366)Instruction limit reached!
% 0.22/0.42 % (26366)------------------------------
% 0.22/0.42 % (26366)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (26366)Termination reason: Unknown
% 0.22/0.42 % (26366)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (26366)Memory used [KB]: 5628
% 0.22/0.42 % (26366)Time elapsed: 0.010 s
% 0.22/0.42 % (26366)Instructions burned: 15 (million)
% 0.22/0.42 % (26366)------------------------------
% 0.22/0.42 % (26366)------------------------------
% 0.22/0.42 % (26369)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.43 % (26370)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.43 % (26369)Instruction limit reached!
% 0.22/0.43 % (26369)------------------------------
% 0.22/0.43 % (26369)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (26369)Termination reason: Unknown
% 0.22/0.43 % (26369)Termination phase: Function definition elimination
% 0.22/0.43
% 0.22/0.43 % (26369)Memory used [KB]: 1023
% 0.22/0.43 % (26369)Time elapsed: 0.006 s
% 0.22/0.43 % (26369)Instructions burned: 8 (million)
% 0.22/0.43 % (26369)------------------------------
% 0.22/0.43 % (26369)------------------------------
% 0.22/0.43 % (26371)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.43 % (26371)Instruction limit reached!
% 0.22/0.43 % (26371)------------------------------
% 0.22/0.43 % (26371)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (26371)Termination reason: Unknown
% 0.22/0.43 % (26371)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (26371)Memory used [KB]: 1023
% 0.22/0.43 % (26371)Time elapsed: 0.003 s
% 0.22/0.43 % (26371)Instructions burned: 3 (million)
% 0.22/0.43 % (26371)------------------------------
% 0.22/0.43 % (26371)------------------------------
% 0.22/0.43 % (26365)Instruction limit reached!
% 0.22/0.43 % (26365)------------------------------
% 0.22/0.43 % (26365)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (26365)Termination reason: Unknown
% 0.22/0.43 % (26365)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (26365)Memory used [KB]: 5756
% 0.22/0.43 % (26365)Time elapsed: 0.026 s
% 0.22/0.43 % (26365)Instructions burned: 37 (million)
% 0.22/0.43 % (26365)------------------------------
% 0.22/0.43 % (26365)------------------------------
% 0.22/0.44 % (26370)Instruction limit reached!
% 0.22/0.44 % (26370)------------------------------
% 0.22/0.44 % (26370)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (26370)Termination reason: Unknown
% 0.22/0.44 % (26370)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (26370)Memory used [KB]: 5756
% 0.22/0.44 % (26370)Time elapsed: 0.010 s
% 0.22/0.44 % (26370)Instructions burned: 16 (million)
% 0.22/0.44 % (26370)------------------------------
% 0.22/0.44 % (26370)------------------------------
% 0.22/0.44 % (26368)First to succeed.
% 0.22/0.44 % (26373)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.44 % (26372)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.44 % (26374)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.45 % (26372)Instruction limit reached!
% 0.22/0.45 % (26372)------------------------------
% 0.22/0.45 % (26372)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (26372)Termination reason: Unknown
% 0.22/0.45 % (26372)Termination phase: Property scanning
% 0.22/0.45
% 0.22/0.45 % (26372)Memory used [KB]: 1023
% 0.22/0.45 % (26374)Instruction limit reached!
% 0.22/0.45 % (26374)------------------------------
% 0.22/0.45 % (26374)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (26374)Termination reason: Unknown
% 0.22/0.45 % (26374)Termination phase: Property scanning
% 0.22/0.45
% 0.22/0.45 % (26374)Memory used [KB]: 1023
% 0.22/0.45 % (26374)Time elapsed: 0.004 s
% 0.22/0.45 % (26374)Instructions burned: 4 (million)
% 0.22/0.45 % (26374)------------------------------
% 0.22/0.45 % (26374)------------------------------
% 0.22/0.45 % (26372)Time elapsed: 0.004 s
% 0.22/0.45 % (26372)Instructions burned: 4 (million)
% 0.22/0.45 % (26372)------------------------------
% 0.22/0.45 % (26372)------------------------------
% 0.22/0.45 % (26373)Instruction limit reached!
% 0.22/0.45 % (26373)------------------------------
% 0.22/0.45 % (26373)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (26373)Termination reason: Unknown
% 0.22/0.45 % (26373)Termination phase: Property scanning
% 0.22/0.45
% 0.22/0.45 % (26373)Memory used [KB]: 1023
% 0.22/0.45 % (26373)Time elapsed: 0.006 s
% 0.22/0.45 % (26373)Instructions burned: 9 (million)
% 0.22/0.45 % (26373)------------------------------
% 0.22/0.45 % (26373)------------------------------
% 0.22/0.45 % (26368)Refutation found. Thanks to Tanya!
% 0.22/0.45 % SZS status Theorem for theBenchmark
% 0.22/0.45 % SZS output start Proof for theBenchmark
% 0.22/0.45 thf(type_def_5, type, mu: $tType).
% 0.22/0.45 thf(func_def_0, type, mu: $tType).
% 0.22/0.45 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.22/0.45 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.45 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.22/0.45 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.45 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.45 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.45 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.45 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.45 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.45 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.45 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.45 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.45 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.45 thf(func_def_15, type, mtrue: $i > $o).
% 0.22/0.45 thf(func_def_16, type, mfalse: $i > $o).
% 0.22/0.45 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.45 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.45 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.22/0.45 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.22/0.45 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.22/0.45 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.22/0.45 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.22/0.45 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.22/0.45 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.22/0.45 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.22/0.45 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.22/0.45 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.22/0.45 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.22/0.45 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.22/0.45 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.22/0.45 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.22/0.45 thf(func_def_50, type, ph1: !>[X0: $tType]:(X0)).
% 0.22/0.45 thf(func_def_51, type, sK2: $i > $i > $o).
% 0.22/0.45 thf(f448,plain,(
% 0.22/0.45 $false),
% 0.22/0.45 inference(avatar_sat_refutation,[],[f153,f160,f289,f294,f447])).
% 0.22/0.45 thf(f447,plain,(
% 0.22/0.45 ~spl0_1 | ~spl0_4),
% 0.22/0.45 inference(avatar_contradiction_clause,[],[f446])).
% 0.22/0.45 thf(f446,plain,(
% 0.22/0.45 $false | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(trivial_inequality_removal,[],[f445])).
% 0.22/0.45 thf(f445,plain,(
% 0.22/0.45 ($false = $true) | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(boolean_simplification,[],[f444])).
% 0.22/0.45 thf(f444,plain,(
% 0.22/0.45 ((~ $true) = $true) | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(forward_demodulation,[],[f438,f386])).
% 0.22/0.45 thf(f386,plain,(
% 0.22/0.45 ((sK2 @ sK8 @ sK10) = $true) | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(boolean_simplification,[],[f382])).
% 0.22/0.45 thf(f382,plain,(
% 0.22/0.45 (($true => (sK2 @ sK8 @ sK10)) = $true) | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(superposition,[],[f307,f366])).
% 0.22/0.45 thf(f366,plain,(
% 0.22/0.45 ($true = (sK2 @ sK10 @ sK8)) | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(binary_proxy_clausification,[],[f348])).
% 0.22/0.45 thf(f348,plain,(
% 0.22/0.45 (((sK2 @ sK10 @ sK8) & (sK2 @ sK10 @ sK7)) = $true) | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(not_proxy_clausification,[],[f344])).
% 0.22/0.45 thf(f344,plain,(
% 0.22/0.45 ($false = (~ ((sK2 @ sK10 @ sK8) & (sK2 @ sK10 @ sK7)))) | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(beta_eta_normalization,[],[f343])).
% 0.22/0.45 thf(f343,plain,(
% 0.22/0.45 (((^[Y0 : $i]: (~ ((sK2 @ Y0 @ sK8) & (sK2 @ Y0 @ sK7)))) @ sK10) = $false) | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(sigma_clausification,[],[f330])).
% 0.22/0.45 thf(f330,plain,(
% 0.22/0.45 ($false = (!! @ $i @ (^[Y0 : $i]: (~ ((sK2 @ Y0 @ sK8) & (sK2 @ Y0 @ sK7)))))) | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(boolean_simplification,[],[f329])).
% 0.22/0.45 thf(f329,plain,(
% 0.22/0.45 ((!! @ $i @ (^[Y0 : $i]: (((sK2 @ Y0 @ sK8) & (sK2 @ Y0 @ sK7)) => $false))) = $false) | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(backward_demodulation,[],[f322,f328])).
% 0.22/0.45 thf(f328,plain,(
% 0.22/0.45 ($false = (sK2 @ sK8 @ sK7)) | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(boolean_simplification,[],[f327])).
% 0.22/0.45 thf(f327,plain,(
% 0.22/0.45 (($true => (sK2 @ sK8 @ sK7)) = $false) | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(backward_demodulation,[],[f324,f326])).
% 0.22/0.45 thf(f326,plain,(
% 0.22/0.45 (((sK2 @ sK9 @ sK8) & (sK2 @ sK9 @ sK7)) = $true) | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(binary_proxy_clausification,[],[f324])).
% 0.22/0.45 thf(f324,plain,(
% 0.22/0.45 ((((sK2 @ sK9 @ sK8) & (sK2 @ sK9 @ sK7)) => (sK2 @ sK8 @ sK7)) = $false) | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(beta_eta_normalization,[],[f323])).
% 0.22/0.45 thf(f323,plain,(
% 0.22/0.45 (((^[Y0 : $i]: (((sK2 @ Y0 @ sK8) & (sK2 @ Y0 @ sK7)) => (sK2 @ sK8 @ sK7))) @ sK9) = $false) | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(sigma_clausification,[],[f322])).
% 0.22/0.45 thf(f322,plain,(
% 0.22/0.45 ((!! @ $i @ (^[Y0 : $i]: (((sK2 @ Y0 @ sK8) & (sK2 @ Y0 @ sK7)) => (sK2 @ sK8 @ sK7)))) = $false) | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(beta_eta_normalization,[],[f321])).
% 0.22/0.45 thf(f321,plain,(
% 0.22/0.45 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK2 @ Y1 @ Y0) & (sK2 @ Y1 @ sK7)) => (sK2 @ Y0 @ sK7))))) @ sK8)) | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(sigma_clausification,[],[f320])).
% 0.22/0.45 thf(f320,plain,(
% 0.22/0.45 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK2 @ Y1 @ Y0) & (sK2 @ Y1 @ sK7)) => (sK2 @ Y0 @ sK7))))))) | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(beta_eta_normalization,[],[f319])).
% 0.22/0.45 thf(f319,plain,(
% 0.22/0.45 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y2 @ Y1) & (sK2 @ Y2 @ Y0)) => (sK2 @ Y1 @ Y0))))))) @ sK7) = $false) | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(sigma_clausification,[],[f303])).
% 0.22/0.45 thf(f303,plain,(
% 0.22/0.45 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y2 @ Y1) & (sK2 @ Y2 @ Y0)) => (sK2 @ Y1 @ Y0)))))))) = $false) | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(boolean_simplification,[],[f302])).
% 0.22/0.45 thf(f302,plain,(
% 0.22/0.45 (($true & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y2 @ Y1) & (sK2 @ Y2 @ Y0)) => (sK2 @ Y1 @ Y0))))))))) = $false) | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(backward_demodulation,[],[f149,f300])).
% 0.22/0.45 thf(f300,plain,(
% 0.22/0.45 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1)))))) = $true) | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(boolean_simplification,[],[f298])).
% 0.22/0.45 thf(f298,plain,(
% 0.22/0.45 (($true & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1))))))) = $true) | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(backward_demodulation,[],[f159,f297])).
% 0.22/0.45 thf(f297,plain,(
% 0.22/0.45 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y2 @ Y0) & (sK2 @ Y1 @ Y2)) => (sK2 @ Y1 @ Y0)))))))) = $true) | ~spl0_1),
% 0.22/0.45 inference(binary_proxy_clausification,[],[f295])).
% 0.22/0.45 thf(f295,plain,(
% 0.22/0.45 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y2 @ Y0) & (sK2 @ Y1 @ Y2)) => (sK2 @ Y1 @ Y0)))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1))))))) != $false) | ~spl0_1),
% 0.22/0.45 inference(forward_demodulation,[],[f144,f149])).
% 0.22/0.45 thf(f144,plain,(
% 0.22/0.45 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y2 @ Y0) & (sK2 @ Y1 @ Y2)) => (sK2 @ Y1 @ Y0)))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1))))))) != ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1)))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y2 @ Y1) & (sK2 @ Y2 @ Y0)) => (sK2 @ Y1 @ Y0))))))))))),
% 0.22/0.45 inference(binary_proxy_clausification,[],[f143])).
% 0.22/0.45 thf(f143,plain,(
% 0.22/0.45 ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1)))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y2 @ Y1) & (sK2 @ Y2 @ Y0)) => (sK2 @ Y1 @ Y0))))))))) = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y2 @ Y0) & (sK2 @ Y1 @ Y2)) => (sK2 @ Y1 @ Y0)))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1)))))))) = $false)),
% 0.22/0.45 inference(beta_eta_normalization,[],[f142])).
% 0.22/0.45 thf(f142,plain,(
% 0.22/0.45 ($false = ((^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y3 @ Y1)) => (Y0 @ Y2 @ Y1))))))))) = ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))))) @ sK2))),
% 0.22/0.45 inference(sigma_clausification,[],[f139])).
% 0.22/0.45 thf(f139,plain,(
% 0.22/0.45 ($false = (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y3 @ Y1)) => (Y0 @ Y2 @ Y1))))))))) = ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2)))))))))))),
% 0.22/0.45 inference(not_proxy_clausification,[],[f138])).
% 0.22/0.45 thf(f138,plain,(
% 0.22/0.45 ((~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y3 @ Y1)) => (Y0 @ Y2 @ Y1))))))))) = ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))))))) = $true)),
% 0.22/0.45 inference(beta_eta_normalization,[],[f137])).
% 0.22/0.45 thf(f137,plain,(
% 0.22/0.45 ((~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: ((((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) => (Y1 @ Y2 @ Y3))))))) @ Y0) & ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y4 @ Y3) & (Y1 @ Y4 @ Y2)) => (Y1 @ Y3 @ Y2))))))))) @ Y0)) = (((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y4 @ Y2) & (Y1 @ Y3 @ Y4)) => (Y1 @ Y3 @ Y2))))))))) @ Y0) & ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) => (Y1 @ Y2 @ Y3))))))) @ Y0)))))) = $true)),
% 0.22/0.45 inference(definition_unfolding,[],[f102,f109,f120,f116,f109])).
% 0.22/0.45 thf(f116,plain,(
% 0.22/0.45 (mtransitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1))))))))))),
% 0.22/0.45 inference(cnf_transformation,[],[f73])).
% 0.22/0.45 thf(f73,plain,(
% 0.22/0.45 (mtransitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1))))))))))),
% 0.22/0.45 inference(fool_elimination,[],[f72])).
% 0.22/0.45 thf(f72,plain,(
% 0.22/0.45 (mtransitive = (^[X0 : $i > $i > $o] : (! [X1,X2,X3] : (((X0 @ X2 @ X1) & (X0 @ X1 @ X3)) => (X0 @ X2 @ X3)))))),
% 0.22/0.45 inference(rectify,[],[f21])).
% 0.22/0.45 thf(f21,axiom,(
% 0.22/0.45 (mtransitive = (^[X6 : $i > $i > $o] : (! [X9,X8,X10] : (((X6 @ X8 @ X9) & (X6 @ X9 @ X10)) => (X6 @ X8 @ X10)))))),
% 0.22/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mtransitive)).
% 0.22/0.45 thf(f120,plain,(
% 0.22/0.45 (meuclidean = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y3 @ Y1)) => (Y0 @ Y2 @ Y1))))))))))),
% 0.22/0.45 inference(cnf_transformation,[],[f51])).
% 0.22/0.45 thf(f51,plain,(
% 0.22/0.45 (meuclidean = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y3 @ Y1)) => (Y0 @ Y2 @ Y1))))))))))),
% 0.22/0.45 inference(fool_elimination,[],[f50])).
% 0.22/0.45 thf(f50,plain,(
% 0.22/0.45 (meuclidean = (^[X0 : $i > $i > $o] : (! [X1,X2,X3] : (((X0 @ X1 @ X3) & (X0 @ X1 @ X2)) => (X0 @ X2 @ X3)))))),
% 0.22/0.45 inference(rectify,[],[f22])).
% 0.22/0.45 thf(f22,axiom,(
% 0.22/0.45 (meuclidean = (^[X6 : $i > $i > $o] : (! [X8,X9,X10] : (((X6 @ X8 @ X10) & (X6 @ X8 @ X9)) => (X6 @ X9 @ X10)))))),
% 0.22/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meuclidean)).
% 0.22/0.45 thf(f109,plain,(
% 0.22/0.45 (msymmetric = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))))),
% 0.22/0.45 inference(cnf_transformation,[],[f75])).
% 0.22/0.45 thf(f75,plain,(
% 0.22/0.45 (msymmetric = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))))),
% 0.22/0.45 inference(fool_elimination,[],[f74])).
% 0.22/0.45 thf(f74,plain,(
% 0.22/0.45 (msymmetric = (^[X0 : $i > $i > $o] : (! [X1,X2] : ((X0 @ X1 @ X2) => (X0 @ X2 @ X1)))))),
% 0.22/0.45 inference(rectify,[],[f19])).
% 0.22/0.45 thf(f19,axiom,(
% 0.22/0.45 (msymmetric = (^[X6 : $i > $i > $o] : (! [X8,X9] : ((X6 @ X8 @ X9) => (X6 @ X9 @ X8)))))),
% 0.22/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',msymmetric)).
% 0.22/0.45 thf(f102,plain,(
% 0.22/0.45 ((~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((msymmetric @ Y0) & (meuclidean @ Y0)) = ((mtransitive @ Y0) & (msymmetric @ Y0)))))) = $true)),
% 0.22/0.45 inference(cnf_transformation,[],[f69])).
% 0.22/0.45 thf(f69,plain,(
% 0.22/0.45 ((~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((msymmetric @ Y0) & (meuclidean @ Y0)) = ((mtransitive @ Y0) & (msymmetric @ Y0)))))) = $true)),
% 0.22/0.45 inference(fool_elimination,[],[f68])).
% 0.22/0.45 thf(f68,plain,(
% 0.22/0.45 ~! [X0 : $i > $i > $o] : (((meuclidean @ X0) & (msymmetric @ X0)) <=> ((msymmetric @ X0) & (mtransitive @ X0)))),
% 0.22/0.45 inference(rectify,[],[f33])).
% 0.22/0.45 thf(f33,negated_conjecture,(
% 0.22/0.45 ~! [X6 : $i > $i > $o] : (((meuclidean @ X6) & (msymmetric @ X6)) <=> ((msymmetric @ X6) & (mtransitive @ X6)))),
% 0.22/0.45 inference(negated_conjecture,[],[f32])).
% 0.22/0.45 thf(f32,conjecture,(
% 0.22/0.45 ! [X6 : $i > $i > $o] : (((meuclidean @ X6) & (msymmetric @ X6)) <=> ((msymmetric @ X6) & (mtransitive @ X6)))),
% 0.22/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 0.22/0.45 thf(f159,plain,(
% 0.22/0.45 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y2 @ Y0) & (sK2 @ Y1 @ Y2)) => (sK2 @ Y1 @ Y0)))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1))))))) = $true) | ~spl0_4),
% 0.22/0.45 inference(avatar_component_clause,[],[f158])).
% 0.22/0.45 thf(f158,plain,(
% 0.22/0.45 spl0_4 <=> (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y2 @ Y0) & (sK2 @ Y1 @ Y2)) => (sK2 @ Y1 @ Y0)))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1))))))) = $true)),
% 0.22/0.45 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 0.22/0.45 thf(f149,plain,(
% 0.22/0.45 ($false = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1)))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y2 @ Y1) & (sK2 @ Y2 @ Y0)) => (sK2 @ Y1 @ Y0)))))))))) | ~spl0_1),
% 0.22/0.45 inference(avatar_component_clause,[],[f148])).
% 0.22/0.45 thf(f148,plain,(
% 0.22/0.45 spl0_1 <=> ($false = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1)))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y2 @ Y1) & (sK2 @ Y2 @ Y0)) => (sK2 @ Y1 @ Y0))))))))))),
% 0.22/0.45 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.22/0.45 thf(f307,plain,(
% 0.22/0.45 ( ! [X2 : $i,X1 : $i] : ((((sK2 @ X2 @ X1) => (sK2 @ X1 @ X2)) = $true)) ) | ~spl0_1),
% 0.22/0.45 inference(beta_eta_normalization,[],[f306])).
% 0.22/0.45 thf(f306,plain,(
% 0.22/0.45 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((sK2 @ Y0 @ X1) => (sK2 @ X1 @ Y0))) @ X2) = $true)) ) | ~spl0_1),
% 0.22/0.45 inference(pi_clausification,[],[f305])).
% 0.22/0.45 thf(f305,plain,(
% 0.22/0.45 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((sK2 @ Y0 @ X1) => (sK2 @ X1 @ Y0)))) = $true)) ) | ~spl0_1),
% 0.22/0.45 inference(beta_eta_normalization,[],[f304])).
% 0.22/0.45 thf(f304,plain,(
% 0.22/0.45 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1))))) @ X1) = $true)) ) | ~spl0_1),
% 0.22/0.45 inference(pi_clausification,[],[f301])).
% 0.22/0.45 thf(f301,plain,(
% 0.22/0.45 ($false != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1))))))) | ~spl0_1),
% 0.22/0.45 inference(boolean_simplification,[],[f299])).
% 0.22/0.45 thf(f299,plain,(
% 0.22/0.45 (($true & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1))))))) != $false) | ~spl0_1),
% 0.22/0.45 inference(backward_demodulation,[],[f295,f297])).
% 0.22/0.45 thf(f438,plain,(
% 0.22/0.45 ((~ (sK2 @ sK8 @ sK10)) = $true) | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(boolean_simplification,[],[f433])).
% 0.22/0.45 thf(f433,plain,(
% 0.22/0.45 (((sK2 @ sK8 @ sK10) => $false) = $true) | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(superposition,[],[f376,f328])).
% 0.22/0.45 thf(f376,plain,(
% 0.22/0.45 ( ! [X0 : $i] : ((((sK2 @ X0 @ sK10) => (sK2 @ X0 @ sK7)) = $true)) ) | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(boolean_simplification,[],[f369])).
% 0.22/0.45 thf(f369,plain,(
% 0.22/0.45 ( ! [X0 : $i] : (((($true & (sK2 @ X0 @ sK10)) => (sK2 @ X0 @ sK7)) = $true)) ) | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(superposition,[],[f317,f368])).
% 0.22/0.45 thf(f368,plain,(
% 0.22/0.45 ((sK2 @ sK10 @ sK7) = $true) | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(boolean_simplification,[],[f367])).
% 0.22/0.45 thf(f367,plain,(
% 0.22/0.45 (($true & (sK2 @ sK10 @ sK7)) = $true) | (~spl0_1 | ~spl0_4)),
% 0.22/0.45 inference(backward_demodulation,[],[f348,f366])).
% 0.22/0.45 thf(f317,plain,(
% 0.22/0.45 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((sK2 @ X3 @ X1) & (sK2 @ X2 @ X3)) => (sK2 @ X2 @ X1)))) ) | ~spl0_1),
% 0.22/0.45 inference(beta_eta_normalization,[],[f316])).
% 0.22/0.45 thf(f316,plain,(
% 0.22/0.45 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: (((sK2 @ Y0 @ X1) & (sK2 @ X2 @ Y0)) => (sK2 @ X2 @ X1))) @ X3) = $true)) ) | ~spl0_1),
% 0.22/0.45 inference(pi_clausification,[],[f315])).
% 0.22/0.45 thf(f315,plain,(
% 0.22/0.45 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((sK2 @ Y0 @ X1) & (sK2 @ X2 @ Y0)) => (sK2 @ X2 @ X1)))) = $true)) ) | ~spl0_1),
% 0.22/0.45 inference(beta_eta_normalization,[],[f314])).
% 0.22/0.45 thf(f314,plain,(
% 0.22/0.45 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK2 @ Y1 @ X1) & (sK2 @ Y0 @ Y1)) => (sK2 @ Y0 @ X1))))) @ X2) = $true)) ) | ~spl0_1),
% 0.22/0.45 inference(pi_clausification,[],[f313])).
% 0.22/0.45 thf(f313,plain,(
% 0.22/0.45 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK2 @ Y1 @ X1) & (sK2 @ Y0 @ Y1)) => (sK2 @ Y0 @ X1)))))) = $true)) ) | ~spl0_1),
% 0.22/0.45 inference(beta_eta_normalization,[],[f312])).
% 0.22/0.45 thf(f312,plain,(
% 0.22/0.45 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y2 @ Y0) & (sK2 @ Y1 @ Y2)) => (sK2 @ Y1 @ Y0))))))) @ X1) = $true)) ) | ~spl0_1),
% 0.22/0.45 inference(pi_clausification,[],[f297])).
% 0.22/0.45 thf(f294,plain,(
% 0.22/0.45 ~spl0_1 | ~spl0_3),
% 0.22/0.45 inference(avatar_contradiction_clause,[],[f293])).
% 0.22/0.45 thf(f293,plain,(
% 0.22/0.45 $false | (~spl0_1 | ~spl0_3)),
% 0.22/0.45 inference(trivial_inequality_removal,[],[f292])).
% 0.22/0.45 thf(f292,plain,(
% 0.22/0.45 ($false = $true) | (~spl0_1 | ~spl0_3)),
% 0.22/0.45 inference(backward_demodulation,[],[f156,f149])).
% 0.22/0.45 thf(f156,plain,(
% 0.22/0.45 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1)))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y2 @ Y1) & (sK2 @ Y2 @ Y0)) => (sK2 @ Y1 @ Y0))))))))) = $true) | ~spl0_3),
% 0.22/0.45 inference(avatar_component_clause,[],[f155])).
% 0.22/0.45 thf(f155,plain,(
% 0.22/0.45 spl0_3 <=> (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1)))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y2 @ Y1) & (sK2 @ Y2 @ Y0)) => (sK2 @ Y1 @ Y0))))))))) = $true)),
% 0.22/0.45 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.22/0.45 thf(f289,plain,(
% 0.22/0.45 ~spl0_2),
% 0.22/0.45 inference(avatar_contradiction_clause,[],[f288])).
% 0.22/0.45 thf(f288,plain,(
% 0.22/0.45 $false | ~spl0_2),
% 0.22/0.45 inference(trivial_inequality_removal,[],[f287])).
% 0.22/0.45 thf(f287,plain,(
% 0.22/0.45 ($false = $true) | ~spl0_2),
% 0.22/0.45 inference(boolean_simplification,[],[f286])).
% 0.22/0.45 thf(f286,plain,(
% 0.22/0.45 ((~ $true) = $true) | ~spl0_2),
% 0.22/0.45 inference(forward_demodulation,[],[f282,f238])).
% 0.22/0.45 thf(f238,plain,(
% 0.22/0.45 ((sK2 @ sK6 @ sK4) = $true) | ~spl0_2),
% 0.22/0.45 inference(boolean_simplification,[],[f236])).
% 0.22/0.45 thf(f236,plain,(
% 0.22/0.45 (($true => (sK2 @ sK6 @ sK4)) = $true) | ~spl0_2),
% 0.22/0.45 inference(superposition,[],[f177,f219])).
% 0.22/0.45 thf(f219,plain,(
% 0.22/0.45 ((sK2 @ sK4 @ sK6) = $true) | ~spl0_2),
% 0.22/0.45 inference(binary_proxy_clausification,[],[f213])).
% 0.22/0.45 thf(f213,plain,(
% 0.22/0.45 (((sK2 @ sK6 @ sK3) & (sK2 @ sK4 @ sK6)) = $true) | ~spl0_2),
% 0.22/0.45 inference(not_proxy_clausification,[],[f200])).
% 0.22/0.45 thf(f200,plain,(
% 0.22/0.45 ((~ ((sK2 @ sK6 @ sK3) & (sK2 @ sK4 @ sK6))) = $false) | ~spl0_2),
% 0.22/0.45 inference(beta_eta_normalization,[],[f199])).
% 0.22/0.45 thf(f199,plain,(
% 0.22/0.45 (((^[Y0 : $i]: (~ ((sK2 @ Y0 @ sK3) & (sK2 @ sK4 @ Y0)))) @ sK6) = $false) | ~spl0_2),
% 0.22/0.45 inference(sigma_clausification,[],[f196])).
% 0.22/0.45 thf(f196,plain,(
% 0.22/0.45 ((!! @ $i @ (^[Y0 : $i]: (~ ((sK2 @ Y0 @ sK3) & (sK2 @ sK4 @ Y0))))) = $false) | ~spl0_2),
% 0.22/0.45 inference(boolean_simplification,[],[f194])).
% 0.22/0.45 thf(f194,plain,(
% 0.22/0.45 ((!! @ $i @ (^[Y0 : $i]: (((sK2 @ Y0 @ sK3) & (sK2 @ sK4 @ Y0)) => $false))) = $false) | ~spl0_2),
% 0.22/0.45 inference(backward_demodulation,[],[f188,f191])).
% 0.22/0.45 thf(f191,plain,(
% 0.22/0.45 ((sK2 @ sK4 @ sK3) = $false) | ~spl0_2),
% 0.22/0.45 inference(binary_proxy_clausification,[],[f190])).
% 0.22/0.45 thf(f190,plain,(
% 0.22/0.45 ((((sK2 @ sK5 @ sK3) & (sK2 @ sK4 @ sK5)) => (sK2 @ sK4 @ sK3)) = $false) | ~spl0_2),
% 0.22/0.45 inference(beta_eta_normalization,[],[f189])).
% 0.22/0.45 thf(f189,plain,(
% 0.22/0.45 ($false = ((^[Y0 : $i]: (((sK2 @ Y0 @ sK3) & (sK2 @ sK4 @ Y0)) => (sK2 @ sK4 @ sK3))) @ sK5)) | ~spl0_2),
% 0.22/0.45 inference(sigma_clausification,[],[f188])).
% 0.22/0.45 thf(f188,plain,(
% 0.22/0.45 ($false = (!! @ $i @ (^[Y0 : $i]: (((sK2 @ Y0 @ sK3) & (sK2 @ sK4 @ Y0)) => (sK2 @ sK4 @ sK3))))) | ~spl0_2),
% 0.22/0.45 inference(beta_eta_normalization,[],[f187])).
% 0.22/0.45 thf(f187,plain,(
% 0.22/0.45 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK2 @ Y1 @ sK3) & (sK2 @ Y0 @ Y1)) => (sK2 @ Y0 @ sK3))))) @ sK4) = $false) | ~spl0_2),
% 0.22/0.45 inference(sigma_clausification,[],[f186])).
% 0.22/0.45 thf(f186,plain,(
% 0.22/0.45 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK2 @ Y1 @ sK3) & (sK2 @ Y0 @ Y1)) => (sK2 @ Y0 @ sK3))))))) | ~spl0_2),
% 0.22/0.45 inference(beta_eta_normalization,[],[f185])).
% 0.22/0.45 thf(f185,plain,(
% 0.22/0.45 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y2 @ Y0) & (sK2 @ Y1 @ Y2)) => (sK2 @ Y1 @ Y0))))))) @ sK3)) | ~spl0_2),
% 0.22/0.45 inference(sigma_clausification,[],[f168])).
% 0.22/0.45 thf(f168,plain,(
% 0.22/0.45 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y2 @ Y0) & (sK2 @ Y1 @ Y2)) => (sK2 @ Y1 @ Y0))))))))) | ~spl0_2),
% 0.22/0.45 inference(boolean_simplification,[],[f166])).
% 0.22/0.45 thf(f166,plain,(
% 0.22/0.45 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y2 @ Y0) & (sK2 @ Y1 @ Y2)) => (sK2 @ Y1 @ Y0)))))))) & $true) = $false) | ~spl0_2),
% 0.22/0.45 inference(backward_demodulation,[],[f152,f163])).
% 0.22/0.45 thf(f163,plain,(
% 0.22/0.45 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1)))))) = $true) | ~spl0_2),
% 0.22/0.45 inference(binary_proxy_clausification,[],[f161])).
% 0.22/0.45 thf(f161,plain,(
% 0.22/0.45 ($false != ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1)))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y2 @ Y1) & (sK2 @ Y2 @ Y0)) => (sK2 @ Y1 @ Y0)))))))))) | ~spl0_2),
% 0.22/0.45 inference(backward_demodulation,[],[f144,f152])).
% 0.22/0.45 thf(f152,plain,(
% 0.22/0.45 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y2 @ Y0) & (sK2 @ Y1 @ Y2)) => (sK2 @ Y1 @ Y0)))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1))))))) = $false) | ~spl0_2),
% 0.22/0.45 inference(avatar_component_clause,[],[f151])).
% 0.22/0.45 thf(f151,plain,(
% 0.22/0.45 spl0_2 <=> (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y2 @ Y0) & (sK2 @ Y1 @ Y2)) => (sK2 @ Y1 @ Y0)))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1))))))) = $false)),
% 0.22/0.45 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.22/0.45 thf(f177,plain,(
% 0.22/0.45 ( ! [X2 : $i,X1 : $i] : ((((sK2 @ X2 @ X1) => (sK2 @ X1 @ X2)) = $true)) ) | ~spl0_2),
% 0.22/0.45 inference(beta_eta_normalization,[],[f176])).
% 0.22/0.45 thf(f176,plain,(
% 0.22/0.45 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((sK2 @ Y0 @ X1) => (sK2 @ X1 @ Y0))) @ X2) = $true)) ) | ~spl0_2),
% 0.22/0.45 inference(pi_clausification,[],[f173])).
% 0.22/0.45 thf(f173,plain,(
% 0.22/0.45 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((sK2 @ Y0 @ X1) => (sK2 @ X1 @ Y0)))) = $true)) ) | ~spl0_2),
% 0.22/0.45 inference(beta_eta_normalization,[],[f172])).
% 0.22/0.45 thf(f172,plain,(
% 0.22/0.45 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1))))) @ X1) = $true)) ) | ~spl0_2),
% 0.22/0.45 inference(pi_clausification,[],[f163])).
% 0.22/0.45 thf(f282,plain,(
% 0.22/0.45 ($true = (~ (sK2 @ sK6 @ sK4))) | ~spl0_2),
% 0.22/0.45 inference(boolean_simplification,[],[f272])).
% 0.22/0.45 thf(f272,plain,(
% 0.22/0.45 (((sK2 @ sK6 @ sK4) => $false) = $true) | ~spl0_2),
% 0.22/0.45 inference(superposition,[],[f229,f216])).
% 0.22/0.45 thf(f216,plain,(
% 0.22/0.45 ($false = (sK2 @ sK3 @ sK4)) | ~spl0_2),
% 0.22/0.45 inference(not_proxy_clausification,[],[f208])).
% 0.22/0.45 thf(f208,plain,(
% 0.22/0.45 ($true = (~ (sK2 @ sK3 @ sK4))) | ~spl0_2),
% 0.22/0.45 inference(boolean_simplification,[],[f205])).
% 0.22/0.45 thf(f205,plain,(
% 0.22/0.45 ($true = ((sK2 @ sK3 @ sK4) => $false)) | ~spl0_2),
% 0.22/0.45 inference(superposition,[],[f177,f191])).
% 0.22/0.45 thf(f229,plain,(
% 0.22/0.45 ( ! [X0 : $i] : ((((sK2 @ sK6 @ X0) => (sK2 @ sK3 @ X0)) = $true)) ) | ~spl0_2),
% 0.22/0.45 inference(boolean_simplification,[],[f223])).
% 0.22/0.45 thf(f223,plain,(
% 0.22/0.45 ( ! [X0 : $i] : (((($true & (sK2 @ sK6 @ X0)) => (sK2 @ sK3 @ X0)) = $true)) ) | ~spl0_2),
% 0.22/0.45 inference(superposition,[],[f179,f222])).
% 0.22/0.45 thf(f222,plain,(
% 0.22/0.45 ($true = (sK2 @ sK6 @ sK3)) | ~spl0_2),
% 0.22/0.45 inference(boolean_simplification,[],[f221])).
% 0.22/0.45 thf(f221,plain,(
% 0.22/0.45 (((sK2 @ sK6 @ sK3) & $true) = $true) | ~spl0_2),
% 0.22/0.45 inference(backward_demodulation,[],[f213,f219])).
% 0.22/0.45 thf(f179,plain,(
% 0.22/0.45 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((((sK2 @ X3 @ X2) & (sK2 @ X3 @ X1)) => (sK2 @ X2 @ X1)) = $true)) ) | ~spl0_2),
% 0.22/0.45 inference(beta_eta_normalization,[],[f178])).
% 0.22/0.45 thf(f178,plain,(
% 0.22/0.45 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: (((sK2 @ Y0 @ X2) & (sK2 @ Y0 @ X1)) => (sK2 @ X2 @ X1))) @ X3) = $true)) ) | ~spl0_2),
% 0.22/0.45 inference(pi_clausification,[],[f175])).
% 0.22/0.45 thf(f175,plain,(
% 0.22/0.45 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((sK2 @ Y0 @ X2) & (sK2 @ Y0 @ X1)) => (sK2 @ X2 @ X1)))) = $true)) ) | ~spl0_2),
% 0.22/0.45 inference(beta_eta_normalization,[],[f174])).
% 0.22/0.45 thf(f174,plain,(
% 0.22/0.45 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK2 @ Y1 @ Y0) & (sK2 @ Y1 @ X1)) => (sK2 @ Y0 @ X1))))) @ X2) = $true)) ) | ~spl0_2),
% 0.22/0.45 inference(pi_clausification,[],[f171])).
% 0.22/0.45 thf(f171,plain,(
% 0.22/0.45 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK2 @ Y1 @ Y0) & (sK2 @ Y1 @ X1)) => (sK2 @ Y0 @ X1)))))) = $true)) ) | ~spl0_2),
% 0.22/0.45 inference(beta_eta_normalization,[],[f170])).
% 0.22/0.45 thf(f170,plain,(
% 0.22/0.45 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y2 @ Y1) & (sK2 @ Y2 @ Y0)) => (sK2 @ Y1 @ Y0))))))) @ X1) = $true)) ) | ~spl0_2),
% 0.22/0.45 inference(pi_clausification,[],[f169])).
% 0.22/0.45 thf(f169,plain,(
% 0.22/0.45 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y2 @ Y1) & (sK2 @ Y2 @ Y0)) => (sK2 @ Y1 @ Y0)))))))) != $false) | ~spl0_2),
% 0.22/0.45 inference(boolean_simplification,[],[f165])).
% 0.22/0.45 thf(f165,plain,(
% 0.22/0.45 (($true & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y2 @ Y1) & (sK2 @ Y2 @ Y0)) => (sK2 @ Y1 @ Y0))))))))) != $false) | ~spl0_2),
% 0.22/0.45 inference(backward_demodulation,[],[f161,f163])).
% 0.22/0.45 thf(f160,plain,(
% 0.22/0.45 spl0_3 | spl0_4),
% 0.22/0.45 inference(avatar_split_clause,[],[f145,f158,f155])).
% 0.22/0.45 thf(f145,plain,(
% 0.22/0.45 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y2 @ Y0) & (sK2 @ Y1 @ Y2)) => (sK2 @ Y1 @ Y0)))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1))))))) = $true) | (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1)))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y2 @ Y1) & (sK2 @ Y2 @ Y0)) => (sK2 @ Y1 @ Y0))))))))) = $true)),
% 0.22/0.45 inference(binary_proxy_clausification,[],[f144])).
% 0.22/0.45 thf(f153,plain,(
% 0.22/0.45 spl0_1 | spl0_2),
% 0.22/0.45 inference(avatar_split_clause,[],[f146,f151,f148])).
% 0.22/0.45 thf(f146,plain,(
% 0.22/0.45 ($false = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1)))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y2 @ Y1) & (sK2 @ Y2 @ Y0)) => (sK2 @ Y1 @ Y0)))))))))) | (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y2 @ Y0) & (sK2 @ Y1 @ Y2)) => (sK2 @ Y1 @ Y0)))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1))))))) = $false)),
% 0.22/0.45 inference(binary_proxy_clausification,[],[f144])).
% 0.22/0.45 % SZS output end Proof for theBenchmark
% 0.22/0.45 % (26368)------------------------------
% 0.22/0.45 % (26368)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (26368)Termination reason: Refutation
% 0.22/0.45
% 0.22/0.45 % (26368)Memory used [KB]: 5884
% 0.22/0.45 % (26368)Time elapsed: 0.038 s
% 0.22/0.45 % (26368)Instructions burned: 51 (million)
% 0.22/0.45 % (26368)------------------------------
% 0.22/0.45 % (26368)------------------------------
% 0.22/0.45 % (26356)Success in time 0.08 s
% 0.22/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------