TSTP Solution File: LCL959^24 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL959^24 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 00:24:11 EDT 2024
% Result : Theorem 0.17s 0.39s
% Output : Refutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL959^24 : TPTP v8.2.0. Released v8.1.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.32 % Computer : n024.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
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon May 20 01:28:08 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.12/0.32 This is a TH0_THM_EQU_NAR problem
% 0.12/0.32 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/sandbox/benchmark/theBenchmark.p
% 0.17/0.34 % (2980)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)
% 0.17/0.34 % (2976)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.34 % (2975)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)
% 0.17/0.34 % (2976)Instruction limit reached!
% 0.17/0.34 % (2976)------------------------------
% 0.17/0.34 % (2976)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.34 % (2976)Termination reason: Unknown
% 0.17/0.34 % (2976)Termination phase: Preprocessing 3
% 0.17/0.34
% 0.17/0.34 % (2976)Memory used [KB]: 1023
% 0.17/0.34 % (2976)Time elapsed: 0.003 s
% 0.17/0.34 % (2976)Instructions burned: 3 (million)
% 0.17/0.34 % (2976)------------------------------
% 0.17/0.34 % (2976)------------------------------
% 0.17/0.34 % (2980)Instruction limit reached!
% 0.17/0.34 % (2980)------------------------------
% 0.17/0.34 % (2980)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.34 % (2980)Termination reason: Unknown
% 0.17/0.34 % (2980)Termination phase: Function definition elimination
% 0.17/0.34
% 0.17/0.34 % (2980)Memory used [KB]: 1023
% 0.17/0.34 % (2980)Time elapsed: 0.003 s
% 0.17/0.34 % (2980)Instructions burned: 4 (million)
% 0.17/0.34 % (2980)------------------------------
% 0.17/0.34 % (2980)------------------------------
% 0.17/0.34 % (2979)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.17/0.34 % (2973)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.17/0.34 % (2978)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)
% 0.17/0.34 % (2974)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)
% 0.17/0.34 % (2977)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)
% 0.17/0.34 % (2977)Instruction limit reached!
% 0.17/0.34 % (2977)------------------------------
% 0.17/0.34 % (2977)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.34 % (2977)Termination reason: Unknown
% 0.17/0.34 % (2977)Termination phase: shuffling
% 0.17/0.34
% 0.17/0.34 % (2977)Memory used [KB]: 1023
% 0.17/0.34 % (2977)Time elapsed: 0.003 s
% 0.17/0.34 % (2977)Instructions burned: 2 (million)
% 0.17/0.34 % (2977)------------------------------
% 0.17/0.34 % (2977)------------------------------
% 0.17/0.34 % (2974)Instruction limit reached!
% 0.17/0.34 % (2974)------------------------------
% 0.17/0.34 % (2974)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.34 % (2974)Termination reason: Unknown
% 0.17/0.34 % (2974)Termination phase: Function definition elimination
% 0.17/0.34
% 0.17/0.34 % (2974)Memory used [KB]: 1023
% 0.17/0.34 % (2974)Time elapsed: 0.004 s
% 0.17/0.34 % (2974)Instructions burned: 4 (million)
% 0.17/0.34 % (2974)------------------------------
% 0.17/0.34 % (2974)------------------------------
% 0.17/0.34 % (2978)Refutation not found, incomplete strategy
% 0.17/0.34 % (2978)------------------------------
% 0.17/0.34 % (2978)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.34 % (2978)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.34
% 0.17/0.34
% 0.17/0.34 % (2978)Memory used [KB]: 5500
% 0.17/0.34 % (2978)Time elapsed: 0.005 s
% 0.17/0.34 % (2978)Instructions burned: 7 (million)
% 0.17/0.34 % (2978)------------------------------
% 0.17/0.34 % (2978)------------------------------
% 0.17/0.35 % (2979)Instruction limit reached!
% 0.17/0.35 % (2979)------------------------------
% 0.17/0.35 % (2979)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.35 % (2979)Termination reason: Unknown
% 0.17/0.35 % (2979)Termination phase: Saturation
% 0.17/0.35
% 0.17/0.35 % (2979)Memory used [KB]: 5500
% 0.17/0.35 % (2979)Time elapsed: 0.011 s
% 0.17/0.35 % (2979)Instructions burned: 19 (million)
% 0.17/0.35 % (2979)------------------------------
% 0.17/0.35 % (2979)------------------------------
% 0.17/0.35 % (2975)Instruction limit reached!
% 0.17/0.35 % (2975)------------------------------
% 0.17/0.35 % (2975)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.35 % (2975)Termination reason: Unknown
% 0.17/0.35 % (2975)Termination phase: Saturation
% 0.17/0.35
% 0.17/0.35 % (2975)Memory used [KB]: 5756
% 0.17/0.35 % (2975)Time elapsed: 0.013 s
% 0.17/0.35 % (2975)Instructions burned: 27 (million)
% 0.17/0.35 % (2975)------------------------------
% 0.17/0.35 % (2975)------------------------------
% 0.17/0.35 % (2984)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)
% 0.17/0.36 % (2983)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)
% 0.17/0.36 % (2982)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)
% 0.17/0.36 % (2981)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)
% 0.17/0.36 % (2983)Instruction limit reached!
% 0.17/0.36 % (2983)------------------------------
% 0.17/0.36 % (2983)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.36 % (2983)Termination reason: Unknown
% 0.17/0.36 % (2983)Termination phase: Property scanning
% 0.17/0.36
% 0.17/0.36 % (2983)Memory used [KB]: 1023
% 0.17/0.36 % (2983)Time elapsed: 0.003 s
% 0.17/0.36 % (2983)Instructions burned: 3 (million)
% 0.17/0.36 % (2983)------------------------------
% 0.17/0.36 % (2983)------------------------------
% 0.17/0.36 % (2985)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.36 % (2987)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)
% 0.17/0.36 % (2985)Instruction limit reached!
% 0.17/0.36 % (2985)------------------------------
% 0.17/0.36 % (2985)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.36 % (2985)Termination reason: Unknown
% 0.17/0.36 % (2985)Termination phase: Saturation
% 0.17/0.36
% 0.17/0.36 % (2985)Memory used [KB]: 1023
% 0.17/0.36 % (2985)Time elapsed: 0.005 s
% 0.17/0.36 % (2985)Instructions burned: 7 (million)
% 0.17/0.36 % (2985)------------------------------
% 0.17/0.36 % (2985)------------------------------
% 0.17/0.36 % (2982)Instruction limit reached!
% 0.17/0.36 % (2982)------------------------------
% 0.17/0.36 % (2982)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.36 % (2982)Termination reason: Unknown
% 0.17/0.36 % (2982)Termination phase: Saturation
% 0.17/0.36
% 0.17/0.36 % (2982)Memory used [KB]: 5500
% 0.17/0.36 % (2982)Time elapsed: 0.010 s
% 0.17/0.36 % (2982)Instructions burned: 16 (million)
% 0.17/0.36 % (2982)------------------------------
% 0.17/0.36 % (2982)------------------------------
% 0.17/0.36 % (2987)Instruction limit reached!
% 0.17/0.36 % (2987)------------------------------
% 0.17/0.36 % (2987)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.36 % (2987)Termination reason: Unknown
% 0.17/0.36 % (2987)Termination phase: Twee Goal Transformation
% 0.17/0.36
% 0.17/0.36 % (2987)Memory used [KB]: 1023
% 0.17/0.36 % (2987)Time elapsed: 0.004 s
% 0.17/0.36 % (2987)Instructions burned: 5 (million)
% 0.17/0.36 % (2987)------------------------------
% 0.17/0.36 % (2987)------------------------------
% 0.17/0.37 % (2986)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.17/0.37 % (2988)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)
% 0.17/0.37 % (2988)Instruction limit reached!
% 0.17/0.37 % (2988)------------------------------
% 0.17/0.37 % (2988)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.37 % (2988)Termination reason: Unknown
% 0.17/0.37 % (2988)Termination phase: Property scanning
% 0.17/0.37
% 0.17/0.37 % (2988)Memory used [KB]: 1023
% 0.17/0.37 % (2988)Time elapsed: 0.003 s
% 0.17/0.37 % (2988)Instructions burned: 3 (million)
% 0.17/0.37 % (2988)------------------------------
% 0.17/0.37 % (2988)------------------------------
% 0.17/0.38 % (2981)Instruction limit reached!
% 0.17/0.38 % (2981)------------------------------
% 0.17/0.38 % (2981)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.38 % (2981)Termination reason: Unknown
% 0.17/0.38 % (2981)Termination phase: Saturation
% 0.17/0.38
% 0.17/0.38 % (2981)Memory used [KB]: 5628
% 0.17/0.38 % (2981)Time elapsed: 0.021 s
% 0.17/0.38 % (2981)Instructions burned: 37 (million)
% 0.17/0.38 % (2981)------------------------------
% 0.17/0.38 % (2981)------------------------------
% 0.17/0.38 % (2986)Instruction limit reached!
% 0.17/0.38 % (2986)------------------------------
% 0.17/0.38 % (2986)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.38 % (2986)Termination reason: Unknown
% 0.17/0.38 % (2986)Termination phase: Saturation
% 0.17/0.38
% 0.17/0.38 % (2986)Memory used [KB]: 5756
% 0.17/0.38 % (2986)Time elapsed: 0.011 s
% 0.17/0.38 % (2986)Instructions burned: 16 (million)
% 0.17/0.38 % (2986)------------------------------
% 0.17/0.38 % (2986)------------------------------
% 0.17/0.38 % (2990)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)
% 0.17/0.38 % (2984)First to succeed.
% 0.17/0.38 % (2990)Instruction limit reached!
% 0.17/0.38 % (2990)------------------------------
% 0.17/0.38 % (2990)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.38 % (2990)Termination reason: Unknown
% 0.17/0.38 % (2990)Termination phase: Property scanning
% 0.17/0.38 % (2989)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)
% 0.17/0.38
% 0.17/0.38 % (2990)Memory used [KB]: 1023
% 0.17/0.38 % (2990)Time elapsed: 0.004 s
% 0.17/0.38 % (2990)Instructions burned: 5 (million)
% 0.17/0.38 % (2990)------------------------------
% 0.17/0.38 % (2990)------------------------------
% 0.17/0.38 % (2992)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.17/0.38 % (2989)Instruction limit reached!
% 0.17/0.38 % (2989)------------------------------
% 0.17/0.38 % (2989)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.38 % (2989)Termination reason: Unknown
% 0.17/0.38 % (2989)Termination phase: Saturation
% 0.17/0.38
% 0.17/0.38 % (2989)Memory used [KB]: 5500
% 0.17/0.38 % (2989)Time elapsed: 0.005 s
% 0.17/0.38 % (2989)Instructions burned: 7 (million)
% 0.17/0.38 % (2989)------------------------------
% 0.17/0.38 % (2989)------------------------------
% 0.17/0.39 % (2973)Also succeeded, but the first one will report.
% 0.17/0.39 % (2984)Refutation found. Thanks to Tanya!
% 0.17/0.39 % SZS status Theorem for theBenchmark
% 0.17/0.39 % SZS output start Proof for theBenchmark
% 0.17/0.39 thf(type_def_5, type, mworld: $tType).
% 0.17/0.39 thf(func_def_0, type, mworld: $tType).
% 0.17/0.39 thf(func_def_1, type, mrel: mworld > mworld > $o).
% 0.17/0.39 thf(func_def_2, type, mactual: mworld).
% 0.17/0.39 thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 0.17/0.39 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 0.17/0.39 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.17/0.39 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.17/0.39 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.17/0.39 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.17/0.39 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 0.17/0.39 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 0.17/0.39 thf(func_def_12, type, eiw_di: $i > mworld > $o).
% 0.17/0.39 thf(func_def_13, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 0.17/0.39 thf(func_def_14, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 0.17/0.39 thf(func_def_15, type, f: $i > mworld > $o).
% 0.17/0.39 thf(func_def_31, type, ph1: !>[X0: $tType]:(X0)).
% 0.17/0.39 thf(func_def_32, type, sK2: mworld > $i).
% 0.17/0.39 thf(func_def_33, type, sK3: mworld).
% 0.17/0.39 thf(func_def_34, type, sK4: mworld).
% 0.17/0.39 thf(func_def_35, type, sK5: mworld > mworld).
% 0.17/0.39 thf(func_def_36, type, sK6: mworld > mworld).
% 0.17/0.39 thf(func_def_37, type, sK7: mworld > $i).
% 0.17/0.39 thf(func_def_38, type, sK8: mworld > mworld).
% 0.17/0.39 thf(func_def_39, type, sK9: mworld > mworld).
% 0.17/0.39 thf(func_def_40, type, sK10: mworld).
% 0.17/0.39 thf(func_def_41, type, sK11: mworld).
% 0.17/0.39 thf(f269,plain,(
% 0.17/0.39 $false),
% 0.17/0.39 inference(avatar_sat_refutation,[],[f95,f190,f268])).
% 0.17/0.39 thf(f268,plain,(
% 0.17/0.39 ~spl0_1),
% 0.17/0.39 inference(avatar_contradiction_clause,[],[f267])).
% 0.17/0.39 thf(f267,plain,(
% 0.17/0.39 $false | ~spl0_1),
% 0.17/0.39 inference(trivial_inequality_removal,[],[f266])).
% 0.17/0.39 thf(f266,plain,(
% 0.17/0.39 ($false = $true) | ~spl0_1),
% 0.17/0.39 inference(boolean_simplification,[],[f265])).
% 0.17/0.39 thf(f265,plain,(
% 0.17/0.39 ($true = (~ $true)) | ~spl0_1),
% 0.17/0.39 inference(forward_demodulation,[],[f264,f233])).
% 0.17/0.39 thf(f233,plain,(
% 0.17/0.39 ( ! [X0 : mworld] : (($true = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X0 @ Y0) => (f @ sK12 @ Y0)))))) ) | ~spl0_1),
% 0.17/0.39 inference(boolean_simplification,[],[f230])).
% 0.17/0.39 thf(f230,plain,(
% 0.17/0.39 ( ! [X0 : mworld] : (($true = ($true => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X0 @ Y0) => (f @ sK12 @ Y0))))))) ) | ~spl0_1),
% 0.17/0.39 inference(superposition,[],[f223,f221])).
% 0.17/0.39 thf(f221,plain,(
% 0.17/0.39 ( ! [X0 : mworld] : (($true = (eiw_di @ sK12 @ X0))) ) | ~spl0_1),
% 0.17/0.39 inference(boolean_simplification,[],[f218])).
% 0.17/0.39 thf(f218,plain,(
% 0.17/0.39 ( ! [X0 : mworld] : ((($true => (eiw_di @ sK12 @ X0)) = $true)) ) | ~spl0_1),
% 0.17/0.39 inference(superposition,[],[f75,f213])).
% 0.17/0.39 thf(f213,plain,(
% 0.17/0.39 ((eiw_di @ sK12 @ sK10) = $true) | ~spl0_1),
% 0.17/0.39 inference(boolean_simplification,[],[f212])).
% 0.17/0.39 thf(f212,plain,(
% 0.17/0.39 (((eiw_di @ sK12 @ sK10) & $true) = $true) | ~spl0_1),
% 0.17/0.39 inference(backward_demodulation,[],[f206,f210])).
% 0.17/0.39 thf(f210,plain,(
% 0.17/0.39 ($true = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ sK12 @ Y1))))))))) | ~spl0_1),
% 0.17/0.39 inference(binary_proxy_clausification,[],[f206])).
% 0.17/0.39 thf(f206,plain,(
% 0.17/0.39 (((eiw_di @ sK12 @ sK10) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ sK12 @ Y1))))))))) = $true) | ~spl0_1),
% 0.17/0.39 inference(beta_eta_normalization,[],[f205])).
% 0.17/0.39 thf(f205,plain,(
% 0.17/0.39 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ Y0 @ Y2)))))))))) @ sK12)) | ~spl0_1),
% 0.17/0.39 inference(sigma_clausification,[],[f198])).
% 0.17/0.39 thf(f198,plain,(
% 0.17/0.39 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ Y0 @ Y2)))))))))))) | ~spl0_1),
% 0.17/0.39 inference(binary_proxy_clausification,[],[f196])).
% 0.17/0.39 thf(f196,plain,(
% 0.17/0.39 ($false = ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ Y0 @ Y2))))))))))) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (f @ Y2 @ Y3)))))))))))))))) | ~spl0_1),
% 0.17/0.39 inference(boolean_simplification,[],[f195])).
% 0.17/0.39 thf(f195,plain,(
% 0.17/0.39 ($false = ($true => ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ Y0 @ Y2))))))))))) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (f @ Y2 @ Y3))))))))))))))))) | ~spl0_1),
% 0.17/0.39 inference(forward_demodulation,[],[f194,f67])).
% 0.17/0.39 thf(f67,plain,(
% 0.17/0.39 ( ! [X2 : mworld,X1 : mworld] : (($true = (mrel @ X2 @ X1))) )),
% 0.17/0.39 inference(beta_eta_normalization,[],[f66])).
% 0.17/0.39 thf(f66,plain,(
% 0.17/0.39 ( ! [X2 : mworld,X1 : mworld] : ((((^[Y0 : mworld]: (mrel @ Y0 @ X1)) @ X2) = $true)) )),
% 0.17/0.39 inference(pi_clausification,[],[f65])).
% 0.17/0.39 thf(f65,plain,(
% 0.17/0.39 ( ! [X1 : mworld] : (($true = (!! @ mworld @ (^[Y0 : mworld]: (mrel @ Y0 @ X1))))) )),
% 0.17/0.39 inference(beta_eta_normalization,[],[f64])).
% 0.17/0.39 thf(f64,plain,(
% 0.17/0.39 ( ! [X1 : mworld] : (($true = ((^[Y0 : mworld]: (!! @ mworld @ (^[Y1 : mworld]: (mrel @ Y1 @ Y0)))) @ X1))) )),
% 0.17/0.39 inference(pi_clausification,[],[f56])).
% 0.17/0.39 thf(f56,plain,(
% 0.17/0.39 ((!! @ mworld @ (^[Y0 : mworld]: (!! @ mworld @ (^[Y1 : mworld]: (mrel @ Y1 @ Y0))))) = $true)),
% 0.17/0.39 inference(cnf_transformation,[],[f37])).
% 0.17/0.39 thf(f37,plain,(
% 0.17/0.39 ((!! @ mworld @ (^[Y0 : mworld]: (!! @ mworld @ (^[Y1 : mworld]: (mrel @ Y1 @ Y0))))) = $true)),
% 0.17/0.39 inference(fool_elimination,[],[f36])).
% 0.17/0.39 thf(f36,plain,(
% 0.17/0.39 ! [X0 : mworld,X1 : mworld] : (mrel @ X0 @ X1)),
% 0.17/0.39 inference(rectify,[],[f9])).
% 0.17/0.39 thf(f9,axiom,(
% 0.17/0.39 ! [X2 : mworld,X4 : mworld] : (mrel @ X2 @ X4)),
% 0.17/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_universal)).
% 0.17/0.39 thf(f194,plain,(
% 0.17/0.39 (((mrel @ mactual @ sK10) => ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ Y0 @ Y2))))))))))) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (f @ Y2 @ Y3)))))))))))))))) = $false) | ~spl0_1),
% 0.17/0.39 inference(beta_eta_normalization,[],[f193])).
% 0.17/0.39 thf(f193,plain,(
% 0.17/0.39 ($false = ((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (~ (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y1 @ Y3))))))))))) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (f @ Y3 @ Y4))))))))))))))))) @ sK10)) | ~spl0_1),
% 0.17/0.39 inference(sigma_clausification,[],[f91])).
% 0.17/0.39 thf(f91,plain,(
% 0.17/0.39 ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (~ (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y1 @ Y3))))))))))) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (f @ Y3 @ Y4))))))))))))))))))) | ~spl0_1),
% 0.17/0.39 inference(avatar_component_clause,[],[f90])).
% 0.17/0.39 thf(f90,plain,(
% 0.17/0.39 spl0_1 <=> ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (~ (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y1 @ Y3))))))))))) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (f @ Y3 @ Y4)))))))))))))))))))),
% 0.17/0.39 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.17/0.39 thf(f75,plain,(
% 0.17/0.39 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : ((((eiw_di @ X2 @ X3) => (eiw_di @ X2 @ X1)) = $true)) )),
% 0.17/0.39 inference(boolean_simplification,[],[f74])).
% 0.17/0.39 thf(f74,plain,(
% 0.17/0.39 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (($true = (($true & (eiw_di @ X2 @ X3)) => (eiw_di @ X2 @ X1)))) )),
% 0.17/0.39 inference(forward_demodulation,[],[f73,f67])).
% 0.17/0.39 thf(f73,plain,(
% 0.17/0.39 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (($true = (((mrel @ X1 @ X3) & (eiw_di @ X2 @ X3)) => (eiw_di @ X2 @ X1)))) )),
% 0.17/0.39 inference(beta_eta_normalization,[],[f72])).
% 0.17/0.39 thf(f72,plain,(
% 0.17/0.39 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : ((((^[Y0 : mworld]: (((mrel @ X1 @ Y0) & (eiw_di @ X2 @ Y0)) => (eiw_di @ X2 @ X1))) @ X3) = $true)) )),
% 0.17/0.39 inference(pi_clausification,[],[f71])).
% 0.17/0.39 thf(f71,plain,(
% 0.17/0.39 ( ! [X2 : $i,X1 : mworld] : (($true = (!! @ mworld @ (^[Y0 : mworld]: (((mrel @ X1 @ Y0) & (eiw_di @ X2 @ Y0)) => (eiw_di @ X2 @ X1)))))) )),
% 0.17/0.39 inference(beta_eta_normalization,[],[f70])).
% 0.17/0.39 thf(f70,plain,(
% 0.17/0.39 ( ! [X2 : $i,X1 : mworld] : ((((^[Y0 : $i]: (!! @ mworld @ (^[Y1 : mworld]: (((mrel @ X1 @ Y1) & (eiw_di @ Y0 @ Y1)) => (eiw_di @ Y0 @ X1))))) @ X2) = $true)) )),
% 0.17/0.39 inference(pi_clausification,[],[f69])).
% 0.17/0.39 thf(f69,plain,(
% 0.17/0.39 ( ! [X1 : mworld] : (((!! @ $i @ (^[Y0 : $i]: (!! @ mworld @ (^[Y1 : mworld]: (((mrel @ X1 @ Y1) & (eiw_di @ Y0 @ Y1)) => (eiw_di @ Y0 @ X1)))))) = $true)) )),
% 0.17/0.39 inference(beta_eta_normalization,[],[f68])).
% 0.17/0.39 thf(f68,plain,(
% 0.17/0.39 ( ! [X1 : mworld] : (($true = ((^[Y0 : mworld]: (!! @ $i @ (^[Y1 : $i]: (!! @ mworld @ (^[Y2 : mworld]: (((mrel @ Y0 @ Y2) & (eiw_di @ Y1 @ Y2)) => (eiw_di @ Y1 @ Y0))))))) @ X1))) )),
% 0.17/0.39 inference(pi_clausification,[],[f51])).
% 0.17/0.39 thf(f51,plain,(
% 0.17/0.39 ((!! @ mworld @ (^[Y0 : mworld]: (!! @ $i @ (^[Y1 : $i]: (!! @ mworld @ (^[Y2 : mworld]: (((mrel @ Y0 @ Y2) & (eiw_di @ Y1 @ Y2)) => (eiw_di @ Y1 @ Y0)))))))) = $true)),
% 0.17/0.39 inference(cnf_transformation,[],[f30])).
% 0.17/0.39 thf(f30,plain,(
% 0.17/0.39 ((!! @ mworld @ (^[Y0 : mworld]: (!! @ $i @ (^[Y1 : $i]: (!! @ mworld @ (^[Y2 : mworld]: (((mrel @ Y0 @ Y2) & (eiw_di @ Y1 @ Y2)) => (eiw_di @ Y1 @ Y0)))))))) = $true)),
% 0.17/0.39 inference(fool_elimination,[],[f29])).
% 0.17/0.39 thf(f29,plain,(
% 0.17/0.39 ! [X0 : mworld,X1,X2 : mworld] : (((eiw_di @ X1 @ X0) & (mrel @ X2 @ X0)) => (eiw_di @ X1 @ X2))),
% 0.17/0.39 inference(rectify,[],[f11])).
% 0.17/0.39 thf(f11,axiom,(
% 0.17/0.39 ! [X2 : mworld,X5,X4 : mworld] : (((eiw_di @ X5 @ X2) & (mrel @ X4 @ X2)) => (eiw_di @ X5 @ X4))),
% 0.17/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',eiw_di_decr)).
% 0.17/0.39 thf(f223,plain,(
% 0.17/0.39 ( ! [X2 : $i,X1 : mworld] : (($true = ((eiw_di @ X2 @ X1) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (f @ X2 @ Y0))))))) ) | ~spl0_1),
% 0.17/0.39 inference(beta_eta_normalization,[],[f222])).
% 0.17/0.39 thf(f222,plain,(
% 0.17/0.39 ( ! [X2 : $i,X1 : mworld] : ((((^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (f @ Y0 @ Y1)))))) @ X2) = $true)) ) | ~spl0_1),
% 0.17/0.39 inference(pi_clausification,[],[f217])).
% 0.17/0.39 thf(f217,plain,(
% 0.17/0.39 ( ! [X1 : mworld] : (($true = (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (f @ Y0 @ Y1))))))))) ) | ~spl0_1),
% 0.17/0.39 inference(boolean_simplification,[],[f216])).
% 0.17/0.39 thf(f216,plain,(
% 0.17/0.39 ( ! [X1 : mworld] : (($true = ($true => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (f @ Y0 @ Y1)))))))))) ) | ~spl0_1),
% 0.17/0.39 inference(forward_demodulation,[],[f215,f67])).
% 0.17/0.39 thf(f215,plain,(
% 0.17/0.39 ( ! [X1 : mworld] : (($true = ((mrel @ sK11 @ X1) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (f @ Y0 @ Y1)))))))))) ) | ~spl0_1),
% 0.17/0.39 inference(beta_eta_normalization,[],[f214])).
% 0.17/0.39 thf(f214,plain,(
% 0.17/0.39 ( ! [X1 : mworld] : ((((^[Y0 : mworld]: ((mrel @ sK11 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (f @ Y1 @ Y2))))))))) @ X1) = $true)) ) | ~spl0_1),
% 0.17/0.39 inference(pi_clausification,[],[f207])).
% 0.17/0.39 thf(f207,plain,(
% 0.17/0.39 ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK11 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (f @ Y1 @ Y2)))))))))) = $true) | ~spl0_1),
% 0.17/0.39 inference(not_proxy_clausification,[],[f204])).
% 0.17/0.39 thf(f204,plain,(
% 0.17/0.39 ((~ (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK11 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (f @ Y1 @ Y2))))))))))) = $false) | ~spl0_1),
% 0.17/0.39 inference(boolean_simplification,[],[f203])).
% 0.17/0.39 thf(f203,plain,(
% 0.17/0.39 ($false = ($true => (~ (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK11 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (f @ Y1 @ Y2))))))))))))) | ~spl0_1),
% 0.17/0.39 inference(forward_demodulation,[],[f202,f67])).
% 0.17/0.39 thf(f202,plain,(
% 0.17/0.39 ($false = ((mrel @ sK10 @ sK11) => (~ (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK11 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (f @ Y1 @ Y2))))))))))))) | ~spl0_1),
% 0.17/0.39 inference(beta_eta_normalization,[],[f201])).
% 0.17/0.39 thf(f201,plain,(
% 0.17/0.39 ($false = ((^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (f @ Y2 @ Y3))))))))))))) @ sK11)) | ~spl0_1),
% 0.17/0.39 inference(sigma_clausification,[],[f200])).
% 0.17/0.39 thf(f200,plain,(
% 0.17/0.39 ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (f @ Y2 @ Y3))))))))))))))) | ~spl0_1),
% 0.17/0.39 inference(boolean_simplification,[],[f199])).
% 0.17/0.39 thf(f199,plain,(
% 0.17/0.39 ($false = ($true => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (f @ Y2 @ Y3)))))))))))))))) | ~spl0_1),
% 0.17/0.39 inference(backward_demodulation,[],[f196,f198])).
% 0.17/0.39 thf(f264,plain,(
% 0.17/0.39 ( ! [X1 : mworld] : (((~ (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (f @ sK12 @ Y0))))) = $true)) ) | ~spl0_1),
% 0.17/0.39 inference(boolean_simplification,[],[f263])).
% 0.17/0.39 thf(f263,plain,(
% 0.17/0.39 ( ! [X1 : mworld] : ((($true => (~ (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (f @ sK12 @ Y0)))))) = $true)) ) | ~spl0_1),
% 0.17/0.39 inference(forward_demodulation,[],[f262,f67])).
% 0.17/0.39 thf(f262,plain,(
% 0.17/0.39 ( ! [X1 : mworld] : ((((mrel @ sK10 @ X1) => (~ (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (f @ sK12 @ Y0)))))) = $true)) ) | ~spl0_1),
% 0.17/0.39 inference(beta_eta_normalization,[],[f261])).
% 0.17/0.39 thf(f261,plain,(
% 0.17/0.39 ( ! [X1 : mworld] : (($true = ((^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ sK12 @ Y1))))))) @ X1))) ) | ~spl0_1),
% 0.17/0.39 inference(pi_clausification,[],[f210])).
% 0.17/0.39 thf(f190,plain,(
% 0.17/0.39 ~spl0_2),
% 0.17/0.39 inference(avatar_contradiction_clause,[],[f189])).
% 0.17/0.39 thf(f189,plain,(
% 0.17/0.39 $false | ~spl0_2),
% 0.17/0.39 inference(trivial_inequality_removal,[],[f185])).
% 0.17/0.39 thf(f185,plain,(
% 0.17/0.39 ($false = $true) | ~spl0_2),
% 0.17/0.39 inference(superposition,[],[f184,f171])).
% 0.17/0.39 thf(f171,plain,(
% 0.17/0.39 ( ! [X1 : mworld] : (($false = (f @ (sK7 @ X1) @ (sK8 @ X1)))) ) | ~spl0_2),
% 0.17/0.39 inference(boolean_simplification,[],[f170])).
% 0.17/0.39 thf(f170,plain,(
% 0.17/0.39 ( ! [X1 : mworld] : (($false = ($true => (f @ (sK7 @ X1) @ (sK8 @ X1))))) ) | ~spl0_2),
% 0.17/0.39 inference(forward_demodulation,[],[f169,f67])).
% 0.17/0.39 thf(f169,plain,(
% 0.17/0.39 ( ! [X1 : mworld] : (($false = ((mrel @ (sK6 @ X1) @ (sK8 @ X1)) => (f @ (sK7 @ X1) @ (sK8 @ X1))))) ) | ~spl0_2),
% 0.17/0.39 inference(beta_eta_normalization,[],[f168])).
% 0.17/0.39 thf(f168,plain,(
% 0.17/0.39 ( ! [X1 : mworld] : (($false = ((^[Y0 : mworld]: ((mrel @ (sK6 @ X1) @ Y0) => (f @ (sK7 @ X1) @ Y0))) @ (sK8 @ X1)))) ) | ~spl0_2),
% 0.17/0.39 inference(sigma_clausification,[],[f152])).
% 0.17/0.39 thf(f152,plain,(
% 0.17/0.39 ( ! [X1 : mworld] : (($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ (sK6 @ X1) @ Y0) => (f @ (sK7 @ X1) @ Y0)))))) ) | ~spl0_2),
% 0.17/0.39 inference(binary_proxy_clausification,[],[f151])).
% 0.17/0.39 thf(f151,plain,(
% 0.17/0.39 ( ! [X1 : mworld] : (($false = ((eiw_di @ (sK7 @ X1) @ (sK6 @ X1)) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ (sK6 @ X1) @ Y0) => (f @ (sK7 @ X1) @ Y0))))))) ) | ~spl0_2),
% 0.17/0.39 inference(beta_eta_normalization,[],[f150])).
% 0.17/0.39 thf(f150,plain,(
% 0.17/0.39 ( ! [X1 : mworld] : (($false = ((^[Y0 : $i]: ((eiw_di @ Y0 @ (sK6 @ X1)) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ (sK6 @ X1) @ Y1) => (f @ Y0 @ Y1)))))) @ (sK7 @ X1)))) ) | ~spl0_2),
% 0.17/0.39 inference(sigma_clausification,[],[f149])).
% 0.17/0.39 thf(f149,plain,(
% 0.17/0.39 ( ! [X1 : mworld] : (($false = (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ (sK6 @ X1)) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ (sK6 @ X1) @ Y1) => (f @ Y0 @ Y1))))))))) ) | ~spl0_2),
% 0.17/0.39 inference(boolean_simplification,[],[f148])).
% 0.17/0.39 thf(f148,plain,(
% 0.17/0.39 ( ! [X1 : mworld] : (($false = ($true => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ (sK6 @ X1)) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ (sK6 @ X1) @ Y1) => (f @ Y0 @ Y1)))))))))) ) | ~spl0_2),
% 0.17/0.39 inference(forward_demodulation,[],[f147,f67])).
% 0.17/0.39 thf(f147,plain,(
% 0.17/0.39 ( ! [X1 : mworld] : (($false = ((mrel @ X1 @ (sK6 @ X1)) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ (sK6 @ X1)) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ (sK6 @ X1) @ Y1) => (f @ Y0 @ Y1)))))))))) ) | ~spl0_2),
% 0.17/0.39 inference(beta_eta_normalization,[],[f146])).
% 0.17/0.39 thf(f146,plain,(
% 0.17/0.39 ( ! [X1 : mworld] : (($false = ((^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (f @ Y1 @ Y2))))))))) @ (sK6 @ X1)))) ) | ~spl0_2),
% 0.17/0.39 inference(sigma_clausification,[],[f139])).
% 0.17/0.39 thf(f139,plain,(
% 0.17/0.39 ( ! [X1 : mworld] : (($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (f @ Y1 @ Y2)))))))))))) ) | ~spl0_2),
% 0.17/0.39 inference(not_proxy_clausification,[],[f135])).
% 0.17/0.39 thf(f135,plain,(
% 0.17/0.39 ( ! [X1 : mworld] : (($true = (~ (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (f @ Y1 @ Y2))))))))))))) ) | ~spl0_2),
% 0.17/0.39 inference(boolean_simplification,[],[f134])).
% 0.17/0.39 thf(f134,plain,(
% 0.17/0.39 ( ! [X1 : mworld] : (($true = ($true => (~ (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (f @ Y1 @ Y2)))))))))))))) ) | ~spl0_2),
% 0.17/0.39 inference(forward_demodulation,[],[f133,f67])).
% 0.17/0.39 thf(f133,plain,(
% 0.17/0.39 ( ! [X1 : mworld] : (($true = ((mrel @ sK3 @ X1) => (~ (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (f @ Y1 @ Y2)))))))))))))) ) | ~spl0_2),
% 0.17/0.39 inference(beta_eta_normalization,[],[f132])).
% 0.17/0.39 thf(f132,plain,(
% 0.17/0.39 ( ! [X1 : mworld] : (($true = ((^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (f @ Y2 @ Y3))))))))))))) @ X1))) ) | ~spl0_2),
% 0.17/0.39 inference(pi_clausification,[],[f103])).
% 0.17/0.39 thf(f103,plain,(
% 0.17/0.39 ($true = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (f @ Y2 @ Y3))))))))))))))) | ~spl0_2),
% 0.17/0.39 inference(binary_proxy_clausification,[],[f101])).
% 0.17/0.39 thf(f101,plain,(
% 0.17/0.39 ($false = ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (f @ Y2 @ Y3)))))))))))))) => (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK3) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ Y0 @ Y2))))))))))))) | ~spl0_2),
% 0.17/0.39 inference(boolean_simplification,[],[f100])).
% 0.17/0.39 thf(f100,plain,(
% 0.17/0.39 ($false = ($true => ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (f @ Y2 @ Y3)))))))))))))) => (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK3) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ Y0 @ Y2)))))))))))))) | ~spl0_2),
% 0.17/0.39 inference(forward_demodulation,[],[f99,f67])).
% 0.17/0.39 thf(f99,plain,(
% 0.17/0.39 ($false = ((mrel @ mactual @ sK3) => ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (f @ Y2 @ Y3)))))))))))))) => (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK3) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ Y0 @ Y2)))))))))))))) | ~spl0_2),
% 0.17/0.39 inference(beta_eta_normalization,[],[f98])).
% 0.17/0.39 thf(f98,plain,(
% 0.17/0.39 ($false = ((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (f @ Y3 @ Y4)))))))))))))) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (~ (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y1 @ Y3)))))))))))))) @ sK3)) | ~spl0_2),
% 0.17/0.39 inference(sigma_clausification,[],[f94])).
% 0.17/0.39 thf(f94,plain,(
% 0.17/0.39 ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (f @ Y3 @ Y4)))))))))))))) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (~ (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y1 @ Y3))))))))))))))) = $false) | ~spl0_2),
% 0.17/0.39 inference(avatar_component_clause,[],[f93])).
% 0.17/0.39 thf(f93,plain,(
% 0.17/0.39 spl0_2 <=> ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (f @ Y3 @ Y4)))))))))))))) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (~ (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y1 @ Y3))))))))))))))) = $false)),
% 0.17/0.39 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.17/0.39 thf(f184,plain,(
% 0.17/0.39 ( ! [X0 : mworld,X1 : mworld] : (($true = (f @ (sK7 @ X0) @ X1))) ) | ~spl0_2),
% 0.17/0.39 inference(boolean_simplification,[],[f183])).
% 0.17/0.39 thf(f183,plain,(
% 0.17/0.39 ( ! [X0 : mworld,X1 : mworld] : (($true = ($true => (f @ (sK7 @ X0) @ X1)))) ) | ~spl0_2),
% 0.17/0.39 inference(forward_demodulation,[],[f182,f67])).
% 0.17/0.39 thf(f182,plain,(
% 0.17/0.39 ( ! [X0 : mworld,X1 : mworld] : ((((mrel @ (sK9 @ X0) @ X1) => (f @ (sK7 @ X0) @ X1)) = $true)) ) | ~spl0_2),
% 0.17/0.39 inference(beta_eta_normalization,[],[f181])).
% 0.17/0.39 thf(f181,plain,(
% 0.17/0.39 ( ! [X0 : mworld,X1 : mworld] : (($true = ((^[Y0 : mworld]: ((mrel @ (sK9 @ X0) @ Y0) => (f @ (sK7 @ X0) @ Y0))) @ X1))) ) | ~spl0_2),
% 0.17/0.39 inference(pi_clausification,[],[f178])).
% 0.17/0.39 thf(f178,plain,(
% 0.17/0.39 ( ! [X0 : mworld] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ (sK9 @ X0) @ Y0) => (f @ (sK7 @ X0) @ Y0)))) = $true)) ) | ~spl0_2),
% 0.17/0.39 inference(not_proxy_clausification,[],[f177])).
% 0.17/0.39 thf(f177,plain,(
% 0.17/0.39 ( ! [X0 : mworld] : (($false = (~ (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ (sK9 @ X0) @ Y0) => (f @ (sK7 @ X0) @ Y0))))))) ) | ~spl0_2),
% 0.17/0.39 inference(boolean_simplification,[],[f176])).
% 0.17/0.39 thf(f176,plain,(
% 0.17/0.39 ( ! [X0 : mworld] : ((($true => (~ (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ (sK9 @ X0) @ Y0) => (f @ (sK7 @ X0) @ Y0)))))) = $false)) ) | ~spl0_2),
% 0.17/0.39 inference(forward_demodulation,[],[f174,f67])).
% 0.17/0.39 thf(f174,plain,(
% 0.17/0.39 ( ! [X0 : mworld] : (($false = ((mrel @ sK3 @ (sK9 @ X0)) => (~ (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ (sK9 @ X0) @ Y0) => (f @ (sK7 @ X0) @ Y0)))))))) ) | ~spl0_2),
% 0.17/0.39 inference(beta_eta_normalization,[],[f172])).
% 0.17/0.39 thf(f172,plain,(
% 0.17/0.39 ( ! [X0 : mworld] : (($false = ((^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ (sK7 @ X0) @ Y1))))))) @ (sK9 @ X0)))) ) | ~spl0_2),
% 0.17/0.39 inference(sigma_clausification,[],[f165])).
% 0.17/0.39 thf(f165,plain,(
% 0.17/0.39 ( ! [X0 : mworld] : (($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ (sK7 @ X0) @ Y1)))))))))) ) | ~spl0_2),
% 0.17/0.39 inference(boolean_simplification,[],[f164])).
% 0.17/0.39 thf(f164,plain,(
% 0.17/0.39 ( ! [X0 : mworld] : (($false = ($true & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ (sK7 @ X0) @ Y1))))))))))) ) | ~spl0_2),
% 0.17/0.39 inference(superposition,[],[f107,f161])).
% 0.17/0.39 thf(f161,plain,(
% 0.17/0.39 ( ! [X0 : mworld,X1 : mworld] : (($true = (eiw_di @ (sK7 @ X0) @ X1))) ) | ~spl0_2),
% 0.17/0.39 inference(boolean_simplification,[],[f158])).
% 0.17/0.39 thf(f158,plain,(
% 0.17/0.39 ( ! [X0 : mworld,X1 : mworld] : (($true = ($true => (eiw_di @ (sK7 @ X0) @ X1)))) ) | ~spl0_2),
% 0.17/0.39 inference(superposition,[],[f75,f153])).
% 0.17/0.39 thf(f153,plain,(
% 0.17/0.39 ( ! [X1 : mworld] : (($true = (eiw_di @ (sK7 @ X1) @ (sK6 @ X1)))) ) | ~spl0_2),
% 0.17/0.39 inference(binary_proxy_clausification,[],[f151])).
% 0.17/0.39 thf(f107,plain,(
% 0.17/0.39 ( ! [X1 : $i] : (($false = ((eiw_di @ X1 @ sK3) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X1 @ Y1))))))))))) ) | ~spl0_2),
% 0.17/0.39 inference(beta_eta_normalization,[],[f106])).
% 0.17/0.39 thf(f106,plain,(
% 0.17/0.39 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((eiw_di @ Y0 @ sK3) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ Y0 @ Y2)))))))))) @ X1) = $false)) ) | ~spl0_2),
% 0.17/0.39 inference(pi_clausification,[],[f105])).
% 0.17/0.39 thf(f105,plain,(
% 0.17/0.39 ($false = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK3) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ Y0 @ Y2)))))))))))) | ~spl0_2),
% 0.17/0.39 inference(boolean_simplification,[],[f104])).
% 0.17/0.39 thf(f104,plain,(
% 0.17/0.39 ($false = ($true => (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK3) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ Y0 @ Y2))))))))))))) | ~spl0_2),
% 0.17/0.39 inference(backward_demodulation,[],[f101,f103])).
% 0.17/0.39 thf(f95,plain,(
% 0.17/0.39 spl0_1 | spl0_2),
% 0.17/0.39 inference(avatar_split_clause,[],[f88,f93,f90])).
% 0.17/0.39 thf(f88,plain,(
% 0.17/0.39 ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (f @ Y3 @ Y4)))))))))))))) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (~ (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y1 @ Y3))))))))))))))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (~ (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y1 @ Y3))))))))))) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (f @ Y3 @ Y4)))))))))))))))))))),
% 0.17/0.39 inference(binary_proxy_clausification,[],[f81])).
% 0.17/0.39 thf(f81,plain,(
% 0.17/0.39 ($false = ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (f @ Y3 @ Y4)))))))))))))) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (~ (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y1 @ Y3))))))))))))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (~ (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y1 @ Y3))))))))))) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (f @ Y3 @ Y4))))))))))))))))))))),
% 0.17/0.39 inference(not_proxy_clausification,[],[f59])).
% 0.17/0.39 thf(f59,plain,(
% 0.17/0.39 ($true = (~ ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (f @ Y3 @ Y4)))))))))))))) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (~ (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y1 @ Y3))))))))))))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (~ (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y1 @ Y3))))))))))) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (f @ Y3 @ Y4)))))))))))))))))))))),
% 0.17/0.39 inference(beta_eta_normalization,[],[f58])).
% 0.17/0.39 thf(f58,plain,(
% 0.17/0.39 ($true = (~ ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ (f @ Y0))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ (f @ Y0)))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ (f @ Y0)))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ (f @ Y0)))))))))))))),
% 0.17/0.39 inference(definition_unfolding,[],[f52,f47,f46,f55,f45,f55,f54,f55,f49,f55,f48,f55,f54,f55,f55,f45,f48,f55,f54,f55,f55,f54,f55,f49,f55])).
% 0.17/0.39 thf(f48,plain,(
% 0.17/0.39 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))))),
% 0.17/0.39 inference(cnf_transformation,[],[f28])).
% 0.17/0.39 thf(f28,plain,(
% 0.17/0.39 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))))),
% 0.17/0.39 inference(fool_elimination,[],[f27])).
% 0.17/0.39 thf(f27,plain,(
% 0.17/0.39 ((^[X0 : $i > mworld > $o, X1 : mworld] : (? [X2] : ((X0 @ X2 @ X1) & (eiw_di @ X2 @ X1)))) = mexists_di)),
% 0.17/0.39 inference(rectify,[],[f13])).
% 0.17/0.39 thf(f13,axiom,(
% 0.17/0.39 ((^[X1 : $i > mworld > $o, X2 : mworld] : (? [X5] : ((X1 @ X5 @ X2) & (eiw_di @ X5 @ X2)))) = mexists_di)),
% 0.17/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_di_def)).
% 0.17/0.39 thf(f49,plain,(
% 0.17/0.39 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 0.17/0.39 inference(cnf_transformation,[],[f43])).
% 0.17/0.39 thf(f43,plain,(
% 0.17/0.39 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 0.17/0.39 inference(fool_elimination,[],[f42])).
% 0.17/0.39 thf(f42,plain,(
% 0.17/0.39 (mforall_di = (^[X0 : $i > mworld > $o, X1 : mworld] : (! [X2] : ((eiw_di @ X2 @ X1) => (X0 @ X2 @ X1)))))),
% 0.17/0.39 inference(rectify,[],[f12])).
% 0.17/0.39 thf(f12,axiom,(
% 0.17/0.39 (mforall_di = (^[X1 : $i > mworld > $o, X2 : mworld] : (! [X5] : ((eiw_di @ X5 @ X2) => (X1 @ X5 @ X2)))))),
% 0.17/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_di_def)).
% 0.17/0.39 thf(f54,plain,(
% 0.17/0.39 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 0.17/0.39 inference(cnf_transformation,[],[f18])).
% 0.17/0.39 thf(f18,plain,(
% 0.17/0.39 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 0.17/0.39 inference(fool_elimination,[],[f17])).
% 0.17/0.39 thf(f17,plain,(
% 0.17/0.39 ((^[X0 : mworld > $o, X1 : mworld] : (~(X0 @ X1))) = mnot)),
% 0.17/0.39 inference(rectify,[],[f2])).
% 0.17/0.39 thf(f2,axiom,(
% 0.17/0.39 ((^[X1 : mworld > $o, X2 : mworld] : (~(X1 @ X2))) = mnot)),
% 0.17/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot_def)).
% 0.17/0.39 thf(f45,plain,(
% 0.17/0.39 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.17/0.39 inference(cnf_transformation,[],[f20])).
% 0.17/0.39 thf(f20,plain,(
% 0.17/0.39 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.17/0.39 inference(fool_elimination,[],[f19])).
% 0.17/0.39 thf(f19,plain,(
% 0.17/0.39 (mimplies = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) => (X1 @ X2))))),
% 0.17/0.39 inference(rectify,[],[f5])).
% 0.17/0.39 thf(f5,axiom,(
% 0.17/0.39 (mimplies = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) => (X3 @ X2))))),
% 0.17/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies_def)).
% 0.17/0.39 thf(f55,plain,(
% 0.17/0.39 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.17/0.39 inference(cnf_transformation,[],[f35])).
% 0.17/0.39 thf(f35,plain,(
% 0.17/0.39 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.17/0.39 inference(fool_elimination,[],[f34])).
% 0.17/0.39 thf(f34,plain,(
% 0.17/0.39 ((^[X0 : mworld > $o, X1 : mworld] : (! [X2 : mworld] : ((mrel @ X1 @ X2) => (X0 @ X2)))) = mbox)),
% 0.17/0.39 inference(rectify,[],[f7])).
% 0.17/0.39 thf(f7,axiom,(
% 0.17/0.39 ((^[X0 : mworld > $o, X2 : mworld] : (! [X4 : mworld] : ((mrel @ X2 @ X4) => (X0 @ X4)))) = mbox)),
% 0.17/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def)).
% 0.17/0.39 thf(f46,plain,(
% 0.17/0.39 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 0.17/0.39 inference(cnf_transformation,[],[f26])).
% 0.17/0.39 thf(f26,plain,(
% 0.17/0.39 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 0.17/0.39 inference(fool_elimination,[],[f25])).
% 0.17/0.39 thf(f25,plain,(
% 0.17/0.39 (mand = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X0 @ X2))))),
% 0.17/0.39 inference(rectify,[],[f3])).
% 0.17/0.39 thf(f3,axiom,(
% 0.17/0.39 (mand = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X3 @ X2) & (X1 @ X2))))),
% 0.17/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand_def)).
% 0.17/0.39 thf(f47,plain,(
% 0.17/0.39 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.17/0.39 inference(cnf_transformation,[],[f33])).
% 0.17/0.39 thf(f33,plain,(
% 0.17/0.39 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.17/0.39 inference(fool_elimination,[],[f1])).
% 0.17/0.39 thf(f1,axiom,(
% 0.17/0.39 (mlocal = (^[X0 : mworld > $o] : (X0 @ mactual)))),
% 0.17/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def)).
% 0.17/0.39 thf(f52,plain,(
% 0.17/0.39 ($true = (~ (mlocal @ (mand @ (mbox @ (mimplies @ (mbox @ (mnot @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mbox @ (f @ Y0))))))) @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mnot @ (mbox @ (f @ Y0)))))))) @ (mbox @ (mimplies @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mnot @ (mbox @ (f @ Y0)))))) @ (mbox @ (mnot @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mbox @ (f @ Y0)))))))))))))),
% 0.17/0.39 inference(cnf_transformation,[],[f24])).
% 0.17/0.39 thf(f24,plain,(
% 0.17/0.39 ($true = (~ (mlocal @ (mand @ (mbox @ (mimplies @ (mbox @ (mnot @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mbox @ (f @ Y0))))))) @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mnot @ (mbox @ (f @ Y0)))))))) @ (mbox @ (mimplies @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mnot @ (mbox @ (f @ Y0)))))) @ (mbox @ (mnot @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mbox @ (f @ Y0)))))))))))))),
% 0.17/0.39 inference(fool_elimination,[],[f23])).
% 0.17/0.39 thf(f23,plain,(
% 0.17/0.39 ~(mlocal @ (mand @ (mbox @ (mimplies @ (mbox @ (mnot @ (mbox @ (mforall_di @ (^[X0 : $i] : (mbox @ (f @ X0))))))) @ (mexists_di @ (^[X1 : $i] : (mbox @ (mnot @ (mbox @ (f @ X1)))))))) @ (mbox @ (mimplies @ (mexists_di @ (^[X2 : $i] : (mbox @ (mnot @ (mbox @ (f @ X2)))))) @ (mbox @ (mnot @ (mbox @ (mforall_di @ (^[X3 : $i] : (mbox @ (f @ X3)))))))))))),
% 0.17/0.39 inference(rectify,[],[f15])).
% 0.17/0.39 thf(f15,negated_conjecture,(
% 0.17/0.39 ~(mlocal @ (mand @ (mbox @ (mimplies @ (mbox @ (mnot @ (mbox @ (mforall_di @ (^[X5 : $i] : (mbox @ (f @ X5))))))) @ (mexists_di @ (^[X6 : $i] : (mbox @ (mnot @ (mbox @ (f @ X6)))))))) @ (mbox @ (mimplies @ (mexists_di @ (^[X6 : $i] : (mbox @ (mnot @ (mbox @ (f @ X6)))))) @ (mbox @ (mnot @ (mbox @ (mforall_di @ (^[X5 : $i] : (mbox @ (f @ X5)))))))))))),
% 0.17/0.39 inference(negated_conjecture,[],[f14])).
% 0.17/0.39 thf(f14,conjecture,(
% 0.17/0.39 (mlocal @ (mand @ (mbox @ (mimplies @ (mbox @ (mnot @ (mbox @ (mforall_di @ (^[X5 : $i] : (mbox @ (f @ X5))))))) @ (mexists_di @ (^[X6 : $i] : (mbox @ (mnot @ (mbox @ (f @ X6)))))))) @ (mbox @ (mimplies @ (mexists_di @ (^[X6 : $i] : (mbox @ (mnot @ (mbox @ (f @ X6)))))) @ (mbox @ (mnot @ (mbox @ (mforall_di @ (^[X5 : $i] : (mbox @ (f @ X5)))))))))))),
% 0.17/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish203)).
% 0.17/0.39 % SZS output end Proof for theBenchmark
% 0.17/0.39 % (2984)------------------------------
% 0.17/0.39 % (2984)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.39 % (2984)Termination reason: Refutation
% 0.17/0.39
% 0.17/0.39 % (2984)Memory used [KB]: 5884
% 0.17/0.39 % (2984)Time elapsed: 0.033 s
% 0.17/0.39 % (2984)Instructions burned: 52 (million)
% 0.17/0.39 % (2984)------------------------------
% 0.17/0.39 % (2984)------------------------------
% 0.17/0.39 % (2972)Success in time 0.054 s
% 0.17/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------