TSTP Solution File: SET044^23 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET044^23 : 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 : n019.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 03:08:14 EDT 2024

% Result   : Theorem 0.22s 0.43s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SET044^23 : TPTP v8.2.0. Released v8.1.0.
% 0.12/0.14  % 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
% 0.15/0.36  % Computer : n019.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon May 20 11:59:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TH0_THM_EQU_NAR problem
% 0.15/0.36  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
% 0.15/0.39  % (2338)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)
% 0.15/0.39  % (2338)Instruction limit reached!
% 0.15/0.39  % (2338)------------------------------
% 0.15/0.39  % (2338)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (2338)Termination reason: Unknown
% 0.15/0.39  % (2338)Termination phase: Function definition elimination
% 0.15/0.39  
% 0.15/0.39  % (2338)Memory used [KB]: 1023
% 0.15/0.39  % (2338)Time elapsed: 0.005 s
% 0.15/0.39  % (2338)Instructions burned: 4 (million)
% 0.15/0.39  % (2338)------------------------------
% 0.15/0.39  % (2338)------------------------------
% 0.15/0.39  % (2337)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.39  % (2339)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)
% 0.15/0.39  % (2340)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.39  % (2342)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)
% 0.15/0.40  % (2341)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)
% 0.15/0.40  % (2343)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.40  % (2344)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)
% 0.15/0.40  % (2340)Instruction limit reached!
% 0.15/0.40  % (2340)------------------------------
% 0.15/0.40  % (2340)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (2340)Termination reason: Unknown
% 0.15/0.40  % (2340)Termination phase: shuffling
% 0.15/0.40  % (2341)Instruction limit reached!
% 0.15/0.40  % (2341)------------------------------
% 0.15/0.40  % (2341)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  
% 0.15/0.40  % (2340)Memory used [KB]: 1023
% 0.15/0.40  % (2340)Time elapsed: 0.005 s
% 0.15/0.40  % (2340)Instructions burned: 2 (million)
% 0.15/0.40  % (2340)------------------------------
% 0.15/0.40  % (2340)------------------------------
% 0.15/0.40  % (2341)Termination reason: Unknown
% 0.15/0.40  % (2341)Termination phase: shuffling
% 0.15/0.40  
% 0.15/0.40  % (2341)Memory used [KB]: 1023
% 0.15/0.40  % (2341)Time elapsed: 0.004 s
% 0.15/0.40  % (2341)Instructions burned: 2 (million)
% 0.15/0.40  % (2341)------------------------------
% 0.15/0.40  % (2341)------------------------------
% 0.15/0.40  % (2344)Instruction limit reached!
% 0.15/0.40  % (2344)------------------------------
% 0.15/0.40  % (2344)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (2344)Termination reason: Unknown
% 0.15/0.40  % (2344)Termination phase: Clausification
% 0.15/0.40  
% 0.15/0.40  % (2344)Memory used [KB]: 1023
% 0.15/0.40  % (2344)Time elapsed: 0.005 s
% 0.15/0.40  % (2344)Instructions burned: 3 (million)
% 0.15/0.40  % (2344)------------------------------
% 0.15/0.40  % (2344)------------------------------
% 0.15/0.40  % (2342)Refutation not found, incomplete strategy
% 0.15/0.40  % (2342)------------------------------
% 0.15/0.40  % (2342)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (2342)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.40  
% 0.15/0.40  
% 0.15/0.40  % (2342)Memory used [KB]: 5500
% 0.15/0.40  % (2342)Time elapsed: 0.008 s
% 0.15/0.40  % (2342)Instructions burned: 5 (million)
% 0.15/0.40  % (2342)------------------------------
% 0.15/0.40  % (2342)------------------------------
% 0.15/0.41  % (2345)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)
% 0.15/0.41  % (2343)Instruction limit reached!
% 0.15/0.41  % (2343)------------------------------
% 0.15/0.41  % (2343)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41  % (2343)Termination reason: Unknown
% 0.15/0.41  % (2343)Termination phase: Saturation
% 0.15/0.41  
% 0.15/0.41  % (2343)Memory used [KB]: 5628
% 0.15/0.41  % (2343)Time elapsed: 0.021 s
% 0.15/0.41  % (2343)Instructions burned: 18 (million)
% 0.15/0.41  % (2343)------------------------------
% 0.15/0.41  % (2343)------------------------------
% 0.22/0.42  % (2337)First to succeed.
% 0.22/0.42  % (2346)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  % (2347)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)
% 0.22/0.42  % (2348)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)
% 0.22/0.42  % (2347)Instruction limit reached!
% 0.22/0.42  % (2347)------------------------------
% 0.22/0.42  % (2347)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42  % (2347)Termination reason: Unknown
% 0.22/0.42  % (2339)Also succeeded, but the first one will report.
% 0.22/0.42  % (2347)Termination phase: Property scanning
% 0.22/0.42  
% 0.22/0.42  % (2347)Memory used [KB]: 1023
% 0.22/0.42  % (2347)Time elapsed: 0.006 s
% 0.22/0.42  % (2347)Instructions burned: 4 (million)
% 0.22/0.42  % (2347)------------------------------
% 0.22/0.42  % (2347)------------------------------
% 0.22/0.43  % (2337)Refutation found. Thanks to Tanya!
% 0.22/0.43  % SZS status Theorem for theBenchmark
% 0.22/0.43  % SZS output start Proof for theBenchmark
% 0.22/0.43  thf(type_def_5, type, mworld: $tType).
% 0.22/0.43  thf(func_def_0, type, mworld: $tType).
% 0.22/0.43  thf(func_def_1, type, mrel: mworld > mworld > $o).
% 0.22/0.43  thf(func_def_2, type, mactual: mworld).
% 0.22/0.43  thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 0.22/0.43  thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 0.22/0.43  thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.22/0.43  thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.22/0.43  thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.22/0.43  thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.22/0.43  thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 0.22/0.43  thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 0.22/0.43  thf(func_def_12, type, eiw_di: $i > mworld > $o).
% 0.22/0.43  thf(func_def_13, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 0.22/0.43  thf(func_def_14, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 0.22/0.43  thf(func_def_15, type, element: $i > $i > mworld > $o).
% 0.22/0.43  thf(func_def_29, type, sK0: mworld > $i).
% 0.22/0.43  thf(func_def_34, type, sK3: $i > $i).
% 0.22/0.43  thf(f226,plain,(
% 0.22/0.43    $false),
% 0.22/0.43    inference(avatar_sat_refutation,[],[f148,f163,f177,f225])).
% 0.22/0.43  thf(f225,plain,(
% 0.22/0.43    ~spl1_1 | spl1_2 | spl1_3),
% 0.22/0.43    inference(avatar_contradiction_clause,[],[f224])).
% 0.22/0.43  thf(f224,plain,(
% 0.22/0.43    $false | (~spl1_1 | spl1_2 | spl1_3)),
% 0.22/0.43    inference(subsumption_resolution,[],[f223,f146])).
% 0.22/0.43  thf(f146,plain,(
% 0.22/0.43    ((eiw_di @ (sK3 @ sK2) @ mactual) != $false) | spl1_3),
% 0.22/0.43    inference(avatar_component_clause,[],[f145])).
% 0.22/0.43  thf(f145,plain,(
% 0.22/0.43    spl1_3 <=> ((eiw_di @ (sK3 @ sK2) @ mactual) = $false)),
% 0.22/0.43    introduced(avatar_definition,[new_symbols(naming,[spl1_3])])).
% 0.22/0.43  thf(f223,plain,(
% 0.22/0.43    ((eiw_di @ (sK3 @ sK2) @ mactual) = $false) | (~spl1_1 | spl1_2 | spl1_3)),
% 0.22/0.43    inference(subsumption_resolution,[],[f222,f142])).
% 0.22/0.43  thf(f142,plain,(
% 0.22/0.43    ((eiw_di @ sK2 @ mactual) != $false) | spl1_2),
% 0.22/0.43    inference(avatar_component_clause,[],[f141])).
% 0.22/0.43  thf(f141,plain,(
% 0.22/0.43    spl1_2 <=> ((eiw_di @ sK2 @ mactual) = $false)),
% 0.22/0.43    introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
% 0.22/0.43  thf(f222,plain,(
% 0.22/0.43    ((eiw_di @ sK2 @ mactual) = $false) | ((eiw_di @ (sK3 @ sK2) @ mactual) = $false) | (~spl1_1 | spl1_2 | spl1_3)),
% 0.22/0.43    inference(trivial_inequality_removal,[],[f221])).
% 0.22/0.43  thf(f221,plain,(
% 0.22/0.43    ((eiw_di @ (sK3 @ sK2) @ mactual) = $false) | ($true = $false) | ((eiw_di @ sK2 @ mactual) = $false) | (~spl1_1 | spl1_2 | spl1_3)),
% 0.22/0.43    inference(duplicate_literal_removal,[],[f215])).
% 0.22/0.43  thf(f215,plain,(
% 0.22/0.43    ($true = $false) | ((eiw_di @ sK2 @ mactual) = $false) | ((eiw_di @ (sK3 @ sK2) @ mactual) = $false) | ($true = $false) | (~spl1_1 | spl1_2 | spl1_3)),
% 0.22/0.43    inference(superposition,[],[f110,f200])).
% 0.22/0.43  thf(f200,plain,(
% 0.22/0.43    ((element @ (sK3 @ sK2) @ sK2 @ mactual) = $true) | (~spl1_1 | spl1_2 | spl1_3)),
% 0.22/0.43    inference(subsumption_resolution,[],[f199,f146])).
% 0.22/0.43  thf(f199,plain,(
% 0.22/0.43    ((element @ (sK3 @ sK2) @ sK2 @ mactual) = $true) | ((eiw_di @ (sK3 @ sK2) @ mactual) = $false) | (~spl1_1 | spl1_2)),
% 0.22/0.43    inference(subsumption_resolution,[],[f196,f142])).
% 0.22/0.43  thf(f196,plain,(
% 0.22/0.43    ((eiw_di @ sK2 @ mactual) = $false) | ((element @ (sK3 @ sK2) @ sK2 @ mactual) = $true) | ((eiw_di @ (sK3 @ sK2) @ mactual) = $false) | ~spl1_1),
% 0.22/0.43    inference(trivial_inequality_removal,[],[f190])).
% 0.22/0.43  thf(f190,plain,(
% 0.22/0.43    ((eiw_di @ sK2 @ mactual) = $false) | ((element @ (sK3 @ sK2) @ sK2 @ mactual) = $true) | ((eiw_di @ (sK3 @ sK2) @ mactual) = $false) | ($true = $false) | ~spl1_1),
% 0.22/0.43    inference(superposition,[],[f97,f139])).
% 0.22/0.43  thf(f139,plain,(
% 0.22/0.43    ((element @ (sK3 @ sK2) @ (sK3 @ sK2) @ mactual) = $false) | ~spl1_1),
% 0.22/0.43    inference(avatar_component_clause,[],[f137])).
% 0.22/0.43  thf(f137,plain,(
% 0.22/0.43    spl1_1 <=> ((element @ (sK3 @ sK2) @ (sK3 @ sK2) @ mactual) = $false)),
% 0.22/0.43    introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
% 0.22/0.43  thf(f97,plain,(
% 0.22/0.43    ( ! [X2 : $i,X1 : $i] : (((element @ X2 @ (sK3 @ X1) @ mactual) = $true) | ($false = (eiw_di @ X1 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ((element @ X2 @ X1 @ mactual) = $true)) )),
% 0.22/0.43    inference(not_proxy_clausification,[],[f96])).
% 0.22/0.43  thf(f96,plain,(
% 0.22/0.43    ( ! [X2 : $i,X1 : $i] : (((eiw_di @ X2 @ mactual) = $false) | ((~ (element @ X2 @ X1 @ mactual)) = $false) | ((element @ X2 @ (sK3 @ X1) @ mactual) = $true) | ($false = (eiw_di @ X1 @ mactual))) )),
% 0.22/0.43    inference(binary_proxy_clausification,[],[f94])).
% 0.22/0.43  thf(f94,plain,(
% 0.22/0.43    ( ! [X2 : $i,X1 : $i] : (((~ (element @ X2 @ X1 @ mactual)) = (element @ X2 @ (sK3 @ X1) @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false)) )),
% 0.22/0.43    inference(binary_proxy_clausification,[],[f93])).
% 0.22/0.43  thf(f93,plain,(
% 0.22/0.43    ( ! [X2 : $i,X1 : $i] : (($true = ((~ (element @ X2 @ X1 @ mactual)) = (element @ X2 @ (sK3 @ X1) @ mactual))) | ($false = (eiw_di @ X1 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false)) )),
% 0.22/0.43    inference(binary_proxy_clausification,[],[f92])).
% 0.22/0.43  thf(f92,plain,(
% 0.22/0.43    ( ! [X2 : $i,X1 : $i] : ((((eiw_di @ X2 @ mactual) => ((~ (element @ X2 @ X1 @ mactual)) = (element @ X2 @ (sK3 @ X1) @ mactual))) = $true) | ($false = (eiw_di @ X1 @ mactual))) )),
% 0.22/0.43    inference(beta_eta_normalization,[],[f91])).
% 0.22/0.43  thf(f91,plain,(
% 0.22/0.43    ( ! [X2 : $i,X1 : $i] : (($false = (eiw_di @ X1 @ mactual)) | (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((~ (element @ Y0 @ X1 @ mactual)) = (element @ Y0 @ (sK3 @ X1) @ mactual)))) @ X2) = $true)) )),
% 0.22/0.43    inference(pi_clausification,[],[f89])).
% 0.22/0.43  thf(f89,plain,(
% 0.22/0.43    ( ! [X1 : $i] : (($false = (eiw_di @ X1 @ mactual)) | ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((~ (element @ Y0 @ X1 @ mactual)) = (element @ Y0 @ (sK3 @ X1) @ mactual))))) = $true)) )),
% 0.22/0.43    inference(binary_proxy_clausification,[],[f88])).
% 0.22/0.43  thf(f88,plain,(
% 0.22/0.43    ( ! [X1 : $i] : (($false = (eiw_di @ X1 @ mactual)) | ($true = ((eiw_di @ (sK3 @ X1) @ mactual) & (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((~ (element @ Y0 @ X1 @ mactual)) = (element @ Y0 @ (sK3 @ X1) @ mactual)))))))) )),
% 0.22/0.43    inference(beta_eta_normalization,[],[f87])).
% 0.22/0.43  thf(f87,plain,(
% 0.22/0.43    ( ! [X1 : $i] : (($false = (eiw_di @ X1 @ mactual)) | (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) => ((~ (element @ Y1 @ X1 @ mactual)) = (element @ Y1 @ Y0 @ mactual))))))) @ (sK3 @ X1)) = $true)) )),
% 0.22/0.43    inference(sigma_clausification,[],[f86])).
% 0.22/0.43  thf(f86,plain,(
% 0.22/0.43    ( ! [X1 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) => ((~ (element @ Y1 @ X1 @ mactual)) = (element @ Y1 @ Y0 @ mactual)))))))) = $true) | ($false = (eiw_di @ X1 @ mactual))) )),
% 0.22/0.43    inference(binary_proxy_clausification,[],[f85])).
% 0.22/0.43  thf(f85,plain,(
% 0.22/0.43    ( ! [X1 : $i] : ((((eiw_di @ X1 @ mactual) => (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) => ((~ (element @ Y1 @ X1 @ mactual)) = (element @ Y1 @ Y0 @ mactual))))))))) = $true)) )),
% 0.22/0.43    inference(beta_eta_normalization,[],[f84])).
% 0.22/0.43  thf(f84,plain,(
% 0.22/0.43    ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) => ((~ (element @ Y2 @ Y0 @ mactual)) = (element @ Y2 @ Y1 @ mactual)))))))))) @ X1))) )),
% 0.22/0.43    inference(pi_clausification,[],[f83])).
% 0.22/0.43  thf(f83,plain,(
% 0.22/0.43    ($true = (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) => ((~ (element @ Y2 @ Y0 @ mactual)) = (element @ Y2 @ Y1 @ mactual))))))))))))),
% 0.22/0.43    inference(not_proxy_clausification,[],[f71])).
% 0.22/0.43  thf(f71,plain,(
% 0.22/0.43    ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) => ((~ (element @ Y2 @ Y0 @ mactual)) = (element @ Y2 @ Y1 @ mactual)))))))))))))),
% 0.22/0.43    inference(binary_proxy_clausification,[],[f70])).
% 0.22/0.43  thf(f70,plain,(
% 0.22/0.43    ($true != ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) => ((element @ Y1 @ Y1 @ mactual) = (element @ Y1 @ Y0 @ mactual)))))))) => (~ (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) => ((~ (element @ Y2 @ Y0 @ mactual)) = (element @ Y2 @ Y1 @ mactual))))))))))))))),
% 0.22/0.43    inference(beta_eta_normalization,[],[f69])).
% 0.22/0.43  thf(f69,plain,(
% 0.22/0.43    ($true != ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[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 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y3 @ Y4) = (Y2 @ Y4))))))) @ (element @ Y1 @ Y0) @ (element @ Y1 @ Y1)))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) & (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (!! @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) @ (^[Y2 : $i]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y4 @ Y5) = (Y3 @ Y5))))))) @ (element @ Y2 @ Y1) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (~ (Y3 @ Y4))))) @ (element @ Y2 @ Y0)))))))))))))),
% 0.22/0.43    inference(definition_unfolding,[],[f55,f68,f67,f64,f66,f65,f62,f66,f64,f66,f65,f62])).
% 0.22/0.43  thf(f62,plain,(
% 0.22/0.43    (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 0.22/0.43    inference(cnf_transformation,[],[f34])).
% 0.22/0.43  thf(f34,plain,(
% 0.22/0.43    (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 0.22/0.43    inference(fool_elimination,[],[f33])).
% 0.22/0.43  thf(f33,plain,(
% 0.22/0.43    ((^[X0 : mworld > $o, X1 : mworld] : (~(X0 @ X1))) = mnot)),
% 0.22/0.43    inference(rectify,[],[f2])).
% 0.22/0.43  thf(f2,axiom,(
% 0.22/0.43    ((^[X1 : mworld > $o, X2 : mworld] : (~(X1 @ X2))) = mnot)),
% 0.22/0.43    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot_def)).
% 0.22/0.43  thf(f65,plain,(
% 0.22/0.43    (mequiv = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) = (Y0 @ Y2))))))))),
% 0.22/0.43    inference(cnf_transformation,[],[f44])).
% 0.22/0.43  thf(f44,plain,(
% 0.22/0.43    (mequiv = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) = (Y0 @ Y2))))))))),
% 0.22/0.43    inference(fool_elimination,[],[f43])).
% 0.22/0.43  thf(f43,plain,(
% 0.22/0.43    ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X1 @ X2) <=> (X0 @ X2))) = mequiv)),
% 0.22/0.43    inference(rectify,[],[f6])).
% 0.22/0.43  thf(f6,axiom,(
% 0.22/0.43    ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X3 @ X2) <=> (X1 @ X2))) = mequiv)),
% 0.22/0.43    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv_def)).
% 0.22/0.43  thf(f66,plain,(
% 0.22/0.43    (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 0.22/0.43    inference(cnf_transformation,[],[f32])).
% 0.22/0.43  thf(f32,plain,(
% 0.22/0.43    (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 0.22/0.43    inference(fool_elimination,[],[f31])).
% 0.22/0.43  thf(f31,plain,(
% 0.22/0.43    ((^[X0 : $i > mworld > $o, X1 : mworld] : (! [X2] : ((eiw_di @ X2 @ X1) => (X0 @ X2 @ X1)))) = mforall_di)),
% 0.22/0.43    inference(rectify,[],[f13])).
% 0.22/0.43  thf(f13,axiom,(
% 0.22/0.43    ((^[X1 : $i > mworld > $o, X2 : mworld] : (! [X6] : ((eiw_di @ X6 @ X2) => (X1 @ X6 @ X2)))) = mforall_di)),
% 0.22/0.43    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_di_def)).
% 0.22/0.43  thf(f64,plain,(
% 0.22/0.43    (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))))),
% 0.22/0.43    inference(cnf_transformation,[],[f42])).
% 0.22/0.43  thf(f42,plain,(
% 0.22/0.43    (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))))),
% 0.22/0.43    inference(fool_elimination,[],[f41])).
% 0.22/0.43  thf(f41,plain,(
% 0.22/0.43    (mexists_di = (^[X0 : $i > mworld > $o, X1 : mworld] : (? [X2] : ((X0 @ X2 @ X1) & (eiw_di @ X2 @ X1)))))),
% 0.22/0.43    inference(rectify,[],[f14])).
% 0.22/0.43  thf(f14,axiom,(
% 0.22/0.43    (mexists_di = (^[X1 : $i > mworld > $o, X2 : mworld] : (? [X6] : ((X1 @ X6 @ X2) & (eiw_di @ X6 @ X2)))))),
% 0.22/0.43    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_di_def)).
% 0.22/0.43  thf(f67,plain,(
% 0.22/0.43    (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.22/0.43    inference(cnf_transformation,[],[f30])).
% 0.22/0.43  thf(f30,plain,(
% 0.22/0.43    (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.22/0.43    inference(fool_elimination,[],[f29])).
% 0.22/0.43  thf(f29,plain,(
% 0.22/0.43    ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) => (X1 @ X2))) = mimplies)),
% 0.22/0.43    inference(rectify,[],[f5])).
% 0.22/0.43  thf(f5,axiom,(
% 0.22/0.43    ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) => (X3 @ X2))) = mimplies)),
% 0.22/0.43    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies_def)).
% 0.22/0.43  thf(f68,plain,(
% 0.22/0.43    (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.22/0.43    inference(cnf_transformation,[],[f20])).
% 0.22/0.43  thf(f20,plain,(
% 0.22/0.43    (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.22/0.43    inference(fool_elimination,[],[f1])).
% 0.22/0.43  thf(f1,axiom,(
% 0.22/0.43    ((^[X0 : mworld > $o] : (X0 @ mactual)) = mlocal)),
% 0.22/0.43    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def)).
% 0.22/0.43  thf(f55,plain,(
% 0.22/0.43    ((mlocal @ (mimplies @ (mexists_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (element @ Y1 @ Y0) @ (element @ Y1 @ Y1)))))) @ (mnot @ (mforall_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mequiv @ (element @ Y2 @ Y1) @ (mnot @ (element @ Y2 @ Y0)))))))))))) != $true)),
% 0.22/0.43    inference(cnf_transformation,[],[f47])).
% 0.22/0.43  thf(f47,plain,(
% 0.22/0.43    ((mlocal @ (mimplies @ (mexists_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (element @ Y1 @ Y0) @ (element @ Y1 @ Y1)))))) @ (mnot @ (mforall_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mequiv @ (element @ Y2 @ Y1) @ (mnot @ (element @ Y2 @ Y0)))))))))))) != $true)),
% 0.22/0.43    inference(flattening,[],[f40])).
% 0.22/0.43  thf(f40,plain,(
% 0.22/0.43    ~((mlocal @ (mimplies @ (mexists_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (element @ Y1 @ Y0) @ (element @ Y1 @ Y1)))))) @ (mnot @ (mforall_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mequiv @ (element @ Y2 @ Y1) @ (mnot @ (element @ Y2 @ Y0)))))))))))) = $true)),
% 0.22/0.43    inference(fool_elimination,[],[f39])).
% 0.22/0.43  thf(f39,plain,(
% 0.22/0.43    ~(mlocal @ (mimplies @ (mexists_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mequiv @ (element @ X1 @ X0) @ (element @ X1 @ X1)))))) @ (mnot @ (mforall_di @ (^[X2 : $i] : (mexists_di @ (^[X3 : $i] : (mforall_di @ (^[X4 : $i] : (mequiv @ (element @ X4 @ X3) @ (mnot @ (element @ X4 @ X2))))))))))))),
% 0.22/0.43    inference(rectify,[],[f16])).
% 0.22/0.43  thf(f16,negated_conjecture,(
% 0.22/0.43    ~(mlocal @ (mimplies @ (mexists_di @ (^[X7 : $i] : (mforall_di @ (^[X6 : $i] : (mequiv @ (element @ X6 @ X7) @ (element @ X6 @ X6)))))) @ (mnot @ (mforall_di @ (^[X8 : $i] : (mexists_di @ (^[X9 : $i] : (mforall_di @ (^[X10 : $i] : (mequiv @ (element @ X10 @ X9) @ (mnot @ (element @ X10 @ X8))))))))))))),
% 0.22/0.43    inference(negated_conjecture,[],[f15])).
% 0.22/0.43  thf(f15,conjecture,(
% 0.22/0.43    (mlocal @ (mimplies @ (mexists_di @ (^[X7 : $i] : (mforall_di @ (^[X6 : $i] : (mequiv @ (element @ X6 @ X7) @ (element @ X6 @ X6)))))) @ (mnot @ (mforall_di @ (^[X8 : $i] : (mexists_di @ (^[X9 : $i] : (mforall_di @ (^[X10 : $i] : (mequiv @ (element @ X10 @ X9) @ (mnot @ (element @ X10 @ X8))))))))))))),
% 0.22/0.43    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel40)).
% 0.22/0.43  thf(f110,plain,(
% 0.22/0.43    ( ! [X0 : $i] : (($false = (element @ (sK3 @ X0) @ X0 @ mactual)) | ((element @ (sK3 @ X0) @ sK2 @ mactual) = $false) | ((eiw_di @ (sK3 @ X0) @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false)) )),
% 0.22/0.43    inference(trivial_inequality_removal,[],[f109])).
% 0.22/0.43  thf(f109,plain,(
% 0.22/0.43    ( ! [X0 : $i] : (((eiw_di @ (sK3 @ X0) @ mactual) = $false) | ((element @ (sK3 @ X0) @ sK2 @ mactual) = $false) | ($true = $false) | ($false = (element @ (sK3 @ X0) @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false)) )),
% 0.22/0.43    inference(duplicate_literal_removal,[],[f104])).
% 0.22/0.43  thf(f104,plain,(
% 0.22/0.43    ( ! [X0 : $i] : (($false = (element @ (sK3 @ X0) @ X0 @ mactual)) | ($true = $false) | ((element @ (sK3 @ X0) @ sK2 @ mactual) = $false) | ((eiw_di @ (sK3 @ X0) @ mactual) = $false) | ((eiw_di @ (sK3 @ X0) @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false)) )),
% 0.22/0.43    inference(superposition,[],[f81,f98])).
% 0.22/0.43  thf(f98,plain,(
% 0.22/0.43    ( ! [X2 : $i,X1 : $i] : (((element @ X2 @ (sK3 @ X1) @ mactual) = $false) | ((element @ X2 @ X1 @ mactual) = $false) | ($false = (eiw_di @ X1 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false)) )),
% 0.22/0.43    inference(not_proxy_clausification,[],[f95])).
% 0.22/0.43  thf(f95,plain,(
% 0.22/0.43    ( ! [X2 : $i,X1 : $i] : (((~ (element @ X2 @ X1 @ mactual)) = $true) | ((element @ X2 @ (sK3 @ X1) @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ($false = (eiw_di @ X1 @ mactual))) )),
% 0.22/0.43    inference(binary_proxy_clausification,[],[f94])).
% 0.22/0.43  thf(f81,plain,(
% 0.22/0.43    ( ! [X1 : $i] : (($true = (element @ X1 @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (element @ X1 @ sK2 @ mactual))) )),
% 0.22/0.43    inference(binary_proxy_clausification,[],[f80])).
% 0.22/0.43  thf(f80,plain,(
% 0.22/0.43    ( ! [X1 : $i] : (((element @ X1 @ X1 @ mactual) = (element @ X1 @ sK2 @ mactual)) | ($false = (eiw_di @ X1 @ mactual))) )),
% 0.22/0.43    inference(binary_proxy_clausification,[],[f79])).
% 0.22/0.43  thf(f79,plain,(
% 0.22/0.43    ( ! [X1 : $i] : ((((element @ X1 @ X1 @ mactual) = (element @ X1 @ sK2 @ mactual)) = $true) | ($false = (eiw_di @ X1 @ mactual))) )),
% 0.22/0.43    inference(binary_proxy_clausification,[],[f78])).
% 0.22/0.43  thf(f78,plain,(
% 0.22/0.43    ( ! [X1 : $i] : ((((eiw_di @ X1 @ mactual) => ((element @ X1 @ X1 @ mactual) = (element @ X1 @ sK2 @ mactual))) = $true)) )),
% 0.22/0.43    inference(beta_eta_normalization,[],[f77])).
% 0.22/0.43  thf(f77,plain,(
% 0.22/0.43    ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((element @ Y0 @ Y0 @ mactual) = (element @ Y0 @ sK2 @ mactual)))) @ X1))) )),
% 0.22/0.43    inference(pi_clausification,[],[f75])).
% 0.22/0.43  thf(f75,plain,(
% 0.22/0.43    ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((element @ Y0 @ Y0 @ mactual) = (element @ Y0 @ sK2 @ mactual))))) = $true)),
% 0.22/0.43    inference(binary_proxy_clausification,[],[f74])).
% 0.22/0.43  thf(f74,plain,(
% 0.22/0.43    ($true = ((eiw_di @ sK2 @ mactual) & (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((element @ Y0 @ Y0 @ mactual) = (element @ Y0 @ sK2 @ mactual)))))))),
% 0.22/0.43    inference(beta_eta_normalization,[],[f73])).
% 0.22/0.43  thf(f73,plain,(
% 0.22/0.43    (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) => ((element @ Y1 @ Y1 @ mactual) = (element @ Y1 @ Y0 @ mactual))))))) @ sK2) = $true)),
% 0.22/0.43    inference(sigma_clausification,[],[f72])).
% 0.22/0.43  thf(f72,plain,(
% 0.22/0.43    ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) => ((element @ Y1 @ Y1 @ mactual) = (element @ Y1 @ Y0 @ mactual)))))))) = $true)),
% 0.22/0.43    inference(binary_proxy_clausification,[],[f70])).
% 0.22/0.43  thf(f177,plain,(
% 0.22/0.43    spl1_2 | ~spl1_3),
% 0.22/0.43    inference(avatar_contradiction_clause,[],[f176])).
% 0.22/0.43  thf(f176,plain,(
% 0.22/0.43    $false | (spl1_2 | ~spl1_3)),
% 0.22/0.43    inference(subsumption_resolution,[],[f170,f142])).
% 0.22/0.43  thf(f170,plain,(
% 0.22/0.43    ((eiw_di @ sK2 @ mactual) = $false) | ~spl1_3),
% 0.22/0.43    inference(trivial_inequality_removal,[],[f166])).
% 0.22/0.43  thf(f166,plain,(
% 0.22/0.43    ($true = $false) | ((eiw_di @ sK2 @ mactual) = $false) | ~spl1_3),
% 0.22/0.43    inference(superposition,[],[f147,f90])).
% 0.22/0.43  thf(f90,plain,(
% 0.22/0.43    ( ! [X1 : $i] : (((eiw_di @ (sK3 @ X1) @ mactual) = $true) | ($false = (eiw_di @ X1 @ mactual))) )),
% 0.22/0.43    inference(binary_proxy_clausification,[],[f88])).
% 0.22/0.43  thf(f147,plain,(
% 0.22/0.43    ((eiw_di @ (sK3 @ sK2) @ mactual) = $false) | ~spl1_3),
% 0.22/0.43    inference(avatar_component_clause,[],[f145])).
% 0.22/0.43  thf(f163,plain,(
% 0.22/0.43    ~spl1_2),
% 0.22/0.43    inference(avatar_contradiction_clause,[],[f162])).
% 0.22/0.43  thf(f162,plain,(
% 0.22/0.43    $false | ~spl1_2),
% 0.22/0.43    inference(trivial_inequality_removal,[],[f154])).
% 0.22/0.43  thf(f154,plain,(
% 0.22/0.43    ($true = $false) | ~spl1_2),
% 0.22/0.43    inference(superposition,[],[f143,f76])).
% 0.22/0.43  thf(f76,plain,(
% 0.22/0.43    ((eiw_di @ sK2 @ mactual) = $true)),
% 0.22/0.43    inference(binary_proxy_clausification,[],[f74])).
% 0.22/0.43  thf(f143,plain,(
% 0.22/0.43    ((eiw_di @ sK2 @ mactual) = $false) | ~spl1_2),
% 0.22/0.43    inference(avatar_component_clause,[],[f141])).
% 0.22/0.43  thf(f148,plain,(
% 0.22/0.43    spl1_1 | spl1_2 | spl1_3),
% 0.22/0.43    inference(avatar_split_clause,[],[f133,f145,f141,f137])).
% 0.22/0.43  thf(f133,plain,(
% 0.22/0.43    ((eiw_di @ (sK3 @ sK2) @ mactual) = $false) | ((element @ (sK3 @ sK2) @ (sK3 @ sK2) @ mactual) = $false) | ((eiw_di @ sK2 @ mactual) = $false)),
% 0.22/0.43    inference(trivial_inequality_removal,[],[f132])).
% 0.22/0.43  thf(f132,plain,(
% 0.22/0.43    ((eiw_di @ sK2 @ mactual) = $false) | ((element @ (sK3 @ sK2) @ (sK3 @ sK2) @ mactual) = $false) | ((eiw_di @ (sK3 @ sK2) @ mactual) = $false) | ($true = $false)),
% 0.22/0.43    inference(duplicate_literal_removal,[],[f120])).
% 0.22/0.43  thf(f120,plain,(
% 0.22/0.43    ($true = $false) | ((eiw_di @ (sK3 @ sK2) @ mactual) = $false) | ((element @ (sK3 @ sK2) @ (sK3 @ sK2) @ mactual) = $false) | ((eiw_di @ sK2 @ mactual) = $false) | ((eiw_di @ (sK3 @ sK2) @ mactual) = $false) | ($true = $false)),
% 0.22/0.43    inference(superposition,[],[f110,f82])).
% 0.22/0.43  thf(f82,plain,(
% 0.22/0.43    ( ! [X1 : $i] : (($true = (element @ X1 @ sK2 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (element @ X1 @ X1 @ mactual))) )),
% 0.22/0.43    inference(binary_proxy_clausification,[],[f80])).
% 0.22/0.43  % SZS output end Proof for theBenchmark
% 0.22/0.43  % (2337)------------------------------
% 0.22/0.43  % (2337)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (2337)Termination reason: Refutation
% 0.22/0.43  
% 0.22/0.43  % (2337)Memory used [KB]: 5756
% 0.22/0.43  % (2337)Time elapsed: 0.032 s
% 0.22/0.43  % (2337)Instructions burned: 22 (million)
% 0.22/0.43  % (2337)------------------------------
% 0.22/0.43  % (2337)------------------------------
% 0.22/0.43  % (2336)Success in time 0.066 s
% 0.22/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------