TSTP Solution File: PLA053^18 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : PLA053^18 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n016.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 02:21:19 EDT 2024
% Result : Theorem 0.14s 0.41s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PLA053^18 : TPTP v8.2.0. Released v8.1.0.
% 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 : n016.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 : Sat May 18 13:48:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 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/sandbox2/benchmark/theBenchmark.p
% 0.14/0.38 % (24058)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.39 % (24060)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)
% 0.14/0.39 % (24065)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)
% 0.14/0.39 % (24065)Instruction limit reached!
% 0.14/0.39 % (24065)------------------------------
% 0.14/0.39 % (24065)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (24065)Termination reason: Unknown
% 0.14/0.39 % (24065)Termination phase: Property scanning
% 0.14/0.39 % (24061)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.39
% 0.14/0.39 % (24065)Memory used [KB]: 1023
% 0.14/0.39 % (24065)Time elapsed: 0.004 s
% 0.14/0.39 % (24065)Instructions burned: 3 (million)
% 0.14/0.39 % (24065)------------------------------
% 0.14/0.39 % (24065)------------------------------
% 0.14/0.39 % (24062)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)
% 0.14/0.39 % (24059)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)
% 0.14/0.39 % (24064)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.39 % (24063)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)
% 0.14/0.39 % (24061)Instruction limit reached!
% 0.14/0.39 % (24061)------------------------------
% 0.14/0.39 % (24061)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (24061)Termination reason: Unknown
% 0.14/0.39 % (24062)Instruction limit reached!
% 0.14/0.39 % (24062)------------------------------
% 0.14/0.39 % (24062)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (24062)Termination reason: Unknown
% 0.14/0.39 % (24062)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (24062)Memory used [KB]: 1023
% 0.14/0.39 % (24062)Time elapsed: 0.004 s
% 0.14/0.39 % (24062)Instructions burned: 2 (million)
% 0.14/0.39 % (24062)------------------------------
% 0.14/0.39 % (24062)------------------------------
% 0.14/0.39 % (24061)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (24061)Memory used [KB]: 1023
% 0.14/0.39 % (24061)Time elapsed: 0.004 s
% 0.14/0.39 % (24061)Instructions burned: 2 (million)
% 0.14/0.39 % (24061)------------------------------
% 0.14/0.39 % (24061)------------------------------
% 0.14/0.39 % (24059)Instruction limit reached!
% 0.14/0.39 % (24059)------------------------------
% 0.14/0.39 % (24059)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (24059)Termination reason: Unknown
% 0.14/0.39 % (24059)Termination phase: Property scanning
% 0.14/0.39
% 0.14/0.39 % (24059)Memory used [KB]: 1023
% 0.14/0.39 % (24059)Time elapsed: 0.006 s
% 0.14/0.39 % (24059)Instructions burned: 5 (million)
% 0.14/0.39 % (24059)------------------------------
% 0.14/0.39 % (24059)------------------------------
% 0.14/0.39 % (24063)Refutation not found, incomplete strategy
% 0.14/0.39 % (24063)------------------------------
% 0.14/0.39 % (24063)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (24063)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.39
% 0.14/0.39
% 0.14/0.39 % (24063)Memory used [KB]: 5500
% 0.14/0.39 % (24063)Time elapsed: 0.007 s
% 0.14/0.39 % (24063)Instructions burned: 4 (million)
% 0.14/0.39 % (24063)------------------------------
% 0.14/0.39 % (24063)------------------------------
% 0.14/0.40 % (24058)First to succeed.
% 0.14/0.40 % (24064)Instruction limit reached!
% 0.14/0.40 % (24064)------------------------------
% 0.14/0.40 % (24064)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (24064)Termination reason: Unknown
% 0.14/0.40 % (24064)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (24064)Memory used [KB]: 5628
% 0.14/0.40 % (24064)Time elapsed: 0.018 s
% 0.14/0.40 % (24064)Instructions burned: 18 (million)
% 0.14/0.40 % (24064)------------------------------
% 0.14/0.40 % (24064)------------------------------
% 0.14/0.41 % (24069)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)
% 0.14/0.41 % (24060)Also succeeded, but the first one will report.
% 0.14/0.41 % (24058)Refutation found. Thanks to Tanya!
% 0.14/0.41 % SZS status Theorem for theBenchmark
% 0.14/0.41 % SZS output start Proof for theBenchmark
% 0.14/0.41 thf(type_def_5, type, mworld: $tType).
% 0.14/0.41 thf(func_def_0, type, mworld: $tType).
% 0.14/0.41 thf(func_def_1, type, mrel: mworld > mworld > $o).
% 0.14/0.41 thf(func_def_2, type, mactual: mworld).
% 0.14/0.41 thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 0.14/0.41 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 0.14/0.41 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.14/0.41 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.14/0.41 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.14/0.41 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.14/0.41 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 0.14/0.41 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 0.14/0.41 thf(func_def_12, type, eiw_di: $i > mworld > $o).
% 0.14/0.41 thf(func_def_13, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 0.14/0.41 thf(func_def_14, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 0.14/0.41 thf(func_def_15, type, h: $i > mworld > $o).
% 0.14/0.41 thf(func_def_16, type, bomb: $i > mworld > $o).
% 0.14/0.41 thf(func_def_17, type, defused: $i > mworld > $o).
% 0.14/0.41 thf(func_def_31, type, sK0: mworld > $i).
% 0.14/0.41 thf(func_def_33, type, sK2: mworld > $i).
% 0.14/0.41 thf(func_def_35, type, sK3: mworld).
% 0.14/0.41 thf(func_def_39, type, sK6: mworld > $i > $i).
% 0.14/0.41 thf(f323,plain,(
% 0.14/0.41 $false),
% 0.14/0.41 inference(avatar_sat_refutation,[],[f143,f148,f197,f212,f261,f271,f289,f318])).
% 0.14/0.41 thf(f318,plain,(
% 0.14/0.41 ~spl1_1),
% 0.14/0.41 inference(avatar_contradiction_clause,[],[f317])).
% 0.14/0.41 thf(f317,plain,(
% 0.14/0.41 $false | ~spl1_1),
% 0.14/0.41 inference(trivial_inequality_removal,[],[f298])).
% 0.14/0.41 thf(f298,plain,(
% 0.14/0.41 ($true = $false) | ~spl1_1),
% 0.14/0.41 inference(superposition,[],[f65,f138])).
% 0.14/0.41 thf(f138,plain,(
% 0.14/0.41 ( ! [X1 : $i] : (((eiw_di @ X1 @ sK3) = $false)) ) | ~spl1_1),
% 0.14/0.41 inference(avatar_component_clause,[],[f137])).
% 0.14/0.41 thf(f137,plain,(
% 0.14/0.41 spl1_1 <=> ! [X1] : ((eiw_di @ X1 @ sK3) = $false)),
% 0.14/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
% 0.14/0.41 thf(f65,plain,(
% 0.14/0.41 ( ! [X0 : mworld] : (($true = (eiw_di @ (sK0 @ X0) @ X0))) )),
% 0.14/0.41 inference(cnf_transformation,[],[f57])).
% 0.14/0.41 thf(f57,plain,(
% 0.14/0.41 ! [X0 : mworld] : ($true = (eiw_di @ (sK0 @ X0) @ X0))),
% 0.14/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f44,f56])).
% 0.14/0.41 thf(f56,plain,(
% 0.14/0.41 ! [X0 : mworld] : (? [X1] : ($true = (eiw_di @ X1 @ X0)) => ($true = (eiw_di @ (sK0 @ X0) @ X0)))),
% 0.14/0.41 introduced(choice_axiom,[])).
% 0.14/0.41 thf(f44,plain,(
% 0.14/0.41 ! [X0 : mworld] : ? [X1] : ($true = (eiw_di @ X1 @ X0))),
% 0.14/0.41 inference(fool_elimination,[],[f43])).
% 0.14/0.41 thf(f43,plain,(
% 0.14/0.41 ! [X0 : mworld] : ? [X1] : (eiw_di @ X1 @ X0)),
% 0.14/0.41 inference(rectify,[],[f10])).
% 0.14/0.41 thf(f10,axiom,(
% 0.14/0.41 ! [X2 : mworld] : ? [X5] : (eiw_di @ X5 @ X2)),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eiw_di_nonempty)).
% 0.14/0.41 thf(f289,plain,(
% 0.14/0.41 ~spl1_2 | ~spl1_3 | spl1_6 | ~spl1_9),
% 0.14/0.41 inference(avatar_contradiction_clause,[],[f288])).
% 0.14/0.41 thf(f288,plain,(
% 0.14/0.41 $false | (~spl1_2 | ~spl1_3 | spl1_6 | ~spl1_9)),
% 0.14/0.41 inference(trivial_inequality_removal,[],[f280])).
% 0.14/0.41 thf(f280,plain,(
% 0.14/0.41 ($true = $false) | (~spl1_2 | ~spl1_3 | spl1_6 | ~spl1_9)),
% 0.14/0.41 inference(superposition,[],[f279,f147])).
% 0.14/0.41 thf(f147,plain,(
% 0.14/0.41 ($true = (bomb @ sK4 @ sK3)) | ~spl1_3),
% 0.14/0.41 inference(avatar_component_clause,[],[f145])).
% 0.14/0.41 thf(f145,plain,(
% 0.14/0.41 spl1_3 <=> ($true = (bomb @ sK4 @ sK3))),
% 0.14/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_3])])).
% 0.14/0.41 thf(f279,plain,(
% 0.14/0.41 ($false = (bomb @ sK4 @ sK3)) | (~spl1_2 | spl1_6 | ~spl1_9)),
% 0.14/0.41 inference(subsumption_resolution,[],[f278,f170])).
% 0.14/0.41 thf(f170,plain,(
% 0.14/0.41 ((eiw_di @ sK4 @ sK3) != $false) | spl1_6),
% 0.14/0.41 inference(avatar_component_clause,[],[f169])).
% 0.14/0.41 thf(f169,plain,(
% 0.14/0.41 spl1_6 <=> ((eiw_di @ sK4 @ sK3) = $false)),
% 0.14/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_6])])).
% 0.14/0.41 thf(f278,plain,(
% 0.14/0.41 ($false = (bomb @ sK4 @ sK3)) | ((eiw_di @ sK4 @ sK3) = $false) | (~spl1_2 | ~spl1_9)),
% 0.14/0.41 inference(trivial_inequality_removal,[],[f276])).
% 0.14/0.41 thf(f276,plain,(
% 0.14/0.41 ((eiw_di @ sK4 @ sK3) = $false) | ($true = $false) | ($false = (bomb @ sK4 @ sK3)) | (~spl1_2 | ~spl1_9)),
% 0.14/0.41 inference(superposition,[],[f142,f258])).
% 0.14/0.41 thf(f258,plain,(
% 0.14/0.41 ( ! [X0 : $i] : (($true = (defused @ X0 @ sK3)) | ((bomb @ X0 @ sK3) = $false) | ($false = (eiw_di @ X0 @ sK3))) ) | ~spl1_9),
% 0.14/0.41 inference(avatar_component_clause,[],[f257])).
% 0.14/0.41 thf(f257,plain,(
% 0.14/0.41 spl1_9 <=> ! [X0] : (($true = (defused @ X0 @ sK3)) | ($false = (eiw_di @ X0 @ sK3)) | ((bomb @ X0 @ sK3) = $false))),
% 0.14/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_9])])).
% 0.14/0.41 thf(f142,plain,(
% 0.14/0.41 ($false = (defused @ sK4 @ sK3)) | ~spl1_2),
% 0.14/0.41 inference(avatar_component_clause,[],[f140])).
% 0.14/0.41 thf(f140,plain,(
% 0.14/0.41 spl1_2 <=> ($false = (defused @ sK4 @ sK3))),
% 0.14/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
% 0.14/0.41 thf(f271,plain,(
% 0.14/0.41 ~spl1_8),
% 0.14/0.41 inference(avatar_contradiction_clause,[],[f270])).
% 0.14/0.41 thf(f270,plain,(
% 0.14/0.41 $false | ~spl1_8),
% 0.14/0.41 inference(trivial_inequality_removal,[],[f267])).
% 0.14/0.41 thf(f267,plain,(
% 0.14/0.41 ($true = $false) | ~spl1_8),
% 0.14/0.41 inference(superposition,[],[f60,f255])).
% 0.14/0.41 thf(f255,plain,(
% 0.14/0.41 ($false = (mrel @ sK3 @ sK3)) | ~spl1_8),
% 0.14/0.41 inference(avatar_component_clause,[],[f253])).
% 0.14/0.41 thf(f253,plain,(
% 0.14/0.41 spl1_8 <=> ($false = (mrel @ sK3 @ sK3))),
% 0.14/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_8])])).
% 0.14/0.41 thf(f60,plain,(
% 0.14/0.41 ( ! [X0 : mworld,X1 : mworld] : (((mrel @ X0 @ X1) = $true)) )),
% 0.14/0.41 inference(cnf_transformation,[],[f50])).
% 0.14/0.41 thf(f50,plain,(
% 0.14/0.41 ! [X0 : mworld,X1 : mworld] : ((mrel @ X0 @ X1) = $true)),
% 0.14/0.41 inference(fool_elimination,[],[f49])).
% 0.14/0.41 thf(f49,plain,(
% 0.14/0.41 ! [X0 : mworld,X1 : mworld] : (mrel @ X0 @ X1)),
% 0.14/0.41 inference(rectify,[],[f9])).
% 0.14/0.41 thf(f9,axiom,(
% 0.14/0.41 ! [X2 : mworld,X4 : mworld] : (mrel @ X2 @ X4)),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_universal)).
% 0.14/0.41 thf(f261,plain,(
% 0.14/0.41 spl1_8 | spl1_9 | spl1_5),
% 0.14/0.41 inference(avatar_split_clause,[],[f260,f165,f257,f253])).
% 0.14/0.41 thf(f165,plain,(
% 0.14/0.41 spl1_5 <=> ($false = (mrel @ mactual @ sK3))),
% 0.14/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_5])])).
% 0.14/0.41 thf(f260,plain,(
% 0.14/0.41 ( ! [X0 : $i] : (($false = (eiw_di @ X0 @ sK3)) | ($true = (defused @ X0 @ sK3)) | ($false = (mrel @ sK3 @ sK3)) | ((bomb @ X0 @ sK3) = $false)) ) | spl1_5),
% 0.14/0.41 inference(subsumption_resolution,[],[f247,f166])).
% 0.14/0.41 thf(f166,plain,(
% 0.14/0.41 ($false != (mrel @ mactual @ sK3)) | spl1_5),
% 0.14/0.41 inference(avatar_component_clause,[],[f165])).
% 0.14/0.41 thf(f247,plain,(
% 0.14/0.41 ( ! [X0 : $i] : (($true = (defused @ X0 @ sK3)) | ((bomb @ X0 @ sK3) = $false) | ($false = (eiw_di @ X0 @ sK3)) | ($false = (mrel @ mactual @ sK3)) | ($false = (mrel @ sK3 @ sK3))) )),
% 0.14/0.41 inference(trivial_inequality_removal,[],[f246])).
% 0.14/0.41 thf(f246,plain,(
% 0.14/0.41 ( ! [X0 : $i] : (((bomb @ X0 @ sK3) = $false) | ($true = (defused @ X0 @ sK3)) | ($false = (eiw_di @ X0 @ sK3)) | ($false = (mrel @ sK3 @ sK3)) | ($false = (mrel @ mactual @ sK3)) | ($true = $false)) )),
% 0.14/0.41 inference(duplicate_literal_removal,[],[f243])).
% 0.14/0.41 thf(f243,plain,(
% 0.14/0.41 ( ! [X0 : $i] : (($true = $false) | ($true = (defused @ X0 @ sK3)) | ($false = (mrel @ sK3 @ sK3)) | ($false = (mrel @ mactual @ sK3)) | ($false = (mrel @ mactual @ sK3)) | ($false = (eiw_di @ X0 @ sK3)) | ($false = (eiw_di @ X0 @ sK3)) | ((bomb @ X0 @ sK3) = $false)) )),
% 0.14/0.41 inference(superposition,[],[f128,f202])).
% 0.14/0.41 thf(f202,plain,(
% 0.14/0.41 ( ! [X0 : mworld,X1 : $i] : (((eiw_di @ (sK6 @ X0 @ X1) @ sK3) = $false) | ((eiw_di @ X1 @ X0) = $false) | ((bomb @ X1 @ sK3) = $false) | ((mrel @ X0 @ sK3) = $false) | ((defused @ X1 @ sK3) = $true) | ($false = (mrel @ mactual @ X0))) )),
% 0.14/0.41 inference(trivial_inequality_removal,[],[f199])).
% 0.14/0.41 thf(f199,plain,(
% 0.14/0.41 ( ! [X0 : mworld,X1 : $i] : (($false = (mrel @ mactual @ X0)) | ($true = $false) | ((mrel @ X0 @ sK3) = $false) | ((bomb @ X1 @ sK3) = $false) | ((eiw_di @ (sK6 @ X0 @ X1) @ sK3) = $false) | ((defused @ X1 @ sK3) = $true) | ((eiw_di @ X1 @ X0) = $false)) )),
% 0.14/0.41 inference(superposition,[],[f134,f101])).
% 0.14/0.41 thf(f101,plain,(
% 0.14/0.41 ( ! [X1 : $i] : (($true = (h @ X1 @ sK3)) | ((eiw_di @ X1 @ sK3) = $false)) )),
% 0.14/0.41 inference(binary_proxy_clausification,[],[f100])).
% 0.14/0.41 thf(f100,plain,(
% 0.14/0.41 ( ! [X1 : $i] : ((((bomb @ sK4 @ sK3) & (h @ X1 @ sK3)) = $true) | ((eiw_di @ X1 @ sK3) = $false)) )),
% 0.14/0.41 inference(binary_proxy_clausification,[],[f98])).
% 0.14/0.41 thf(f98,plain,(
% 0.14/0.41 ( ! [X1 : $i] : (((eiw_di @ X1 @ sK3) = $false) | ($false = (((bomb @ sK4 @ sK3) & (h @ X1 @ sK3)) => (defused @ sK4 @ sK3)))) )),
% 0.14/0.41 inference(binary_proxy_clausification,[],[f97])).
% 0.14/0.41 thf(f97,plain,(
% 0.14/0.41 ( ! [X1 : $i] : ((((((bomb @ sK4 @ sK3) & (h @ X1 @ sK3)) => (defused @ sK4 @ sK3)) & (eiw_di @ X1 @ sK3)) = $false)) )),
% 0.14/0.41 inference(beta_eta_normalization,[],[f96])).
% 0.14/0.41 thf(f96,plain,(
% 0.14/0.41 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((((bomb @ sK4 @ sK3) & (h @ Y0 @ sK3)) => (defused @ sK4 @ sK3)) & (eiw_di @ Y0 @ sK3))) @ X1) = $false)) )),
% 0.14/0.41 inference(pi_clausification,[],[f94])).
% 0.14/0.41 thf(f94,plain,(
% 0.14/0.41 ((?? @ $i @ (^[Y0 : $i]: ((((bomb @ sK4 @ sK3) & (h @ Y0 @ sK3)) => (defused @ sK4 @ sK3)) & (eiw_di @ Y0 @ sK3)))) = $false)),
% 0.14/0.41 inference(binary_proxy_clausification,[],[f93])).
% 0.14/0.41 thf(f93,plain,(
% 0.14/0.41 (((eiw_di @ sK4 @ sK3) => (?? @ $i @ (^[Y0 : $i]: ((((bomb @ sK4 @ sK3) & (h @ Y0 @ sK3)) => (defused @ sK4 @ sK3)) & (eiw_di @ Y0 @ sK3))))) = $false)),
% 0.14/0.41 inference(beta_eta_normalization,[],[f92])).
% 0.14/0.41 thf(f92,plain,(
% 0.14/0.41 (((^[Y0 : $i]: ((eiw_di @ Y0 @ sK3) => (?? @ $i @ (^[Y1 : $i]: ((((bomb @ Y0 @ sK3) & (h @ Y1 @ sK3)) => (defused @ Y0 @ sK3)) & (eiw_di @ Y1 @ sK3)))))) @ sK4) = $false)),
% 0.14/0.41 inference(sigma_clausification,[],[f90])).
% 0.14/0.41 thf(f90,plain,(
% 0.14/0.41 ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK3) => (?? @ $i @ (^[Y1 : $i]: ((((bomb @ Y0 @ sK3) & (h @ Y1 @ sK3)) => (defused @ Y0 @ sK3)) & (eiw_di @ Y1 @ sK3))))))) = $false)),
% 0.14/0.41 inference(binary_proxy_clausification,[],[f89])).
% 0.14/0.41 thf(f89,plain,(
% 0.14/0.41 (((mrel @ mactual @ sK3) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK3) => (?? @ $i @ (^[Y1 : $i]: ((((bomb @ Y0 @ sK3) & (h @ Y1 @ sK3)) => (defused @ Y0 @ sK3)) & (eiw_di @ Y1 @ sK3)))))))) = $false)),
% 0.14/0.41 inference(beta_eta_normalization,[],[f88])).
% 0.14/0.41 thf(f88,plain,(
% 0.14/0.41 (((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (?? @ $i @ (^[Y2 : $i]: ((((bomb @ Y1 @ Y0) & (h @ Y2 @ Y0)) => (defused @ Y1 @ Y0)) & (eiw_di @ Y2 @ Y0))))))))) @ sK3) = $false)),
% 0.14/0.41 inference(sigma_clausification,[],[f87])).
% 0.14/0.41 thf(f87,plain,(
% 0.14/0.41 ($true != (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (?? @ $i @ (^[Y2 : $i]: ((((bomb @ Y1 @ Y0) & (h @ Y2 @ Y0)) => (defused @ Y1 @ Y0)) & (eiw_di @ Y2 @ Y0)))))))))))),
% 0.14/0.41 inference(beta_eta_normalization,[],[f77])).
% 0.14/0.41 thf(f77,plain,(
% 0.14/0.41 (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[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 : $i > mworld > $o]: ((^[Y2 : mworld]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) & (eiw_di @ Y3 @ Y2))))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y2 @ Y4) => (Y3 @ Y4))))))) @ ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y2 @ Y4) & (Y3 @ Y4))))))) @ (bomb @ Y0) @ (h @ Y1)) @ (defused @ Y0)))))))) != $true)),
% 0.14/0.41 inference(definition_unfolding,[],[f66,f73,f58,f64,f61,f69,f68])).
% 0.14/0.41 thf(f68,plain,(
% 0.14/0.41 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 0.14/0.41 inference(cnf_transformation,[],[f26])).
% 0.14/0.41 thf(f26,plain,(
% 0.14/0.41 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 0.14/0.41 inference(fool_elimination,[],[f25])).
% 0.14/0.41 thf(f25,plain,(
% 0.14/0.41 (mand = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X0 @ X2))))),
% 0.14/0.41 inference(rectify,[],[f3])).
% 0.14/0.41 thf(f3,axiom,(
% 0.14/0.41 (mand = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X3 @ X2) & (X1 @ X2))))),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand_def)).
% 0.14/0.41 thf(f69,plain,(
% 0.14/0.41 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.14/0.41 inference(cnf_transformation,[],[f24])).
% 0.14/0.41 thf(f24,plain,(
% 0.14/0.41 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.14/0.41 inference(fool_elimination,[],[f23])).
% 0.14/0.41 thf(f23,plain,(
% 0.14/0.41 (mimplies = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) => (X1 @ X2))))),
% 0.14/0.41 inference(rectify,[],[f5])).
% 0.14/0.41 thf(f5,axiom,(
% 0.14/0.41 (mimplies = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) => (X3 @ X2))))),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies_def)).
% 0.14/0.41 thf(f61,plain,(
% 0.14/0.41 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))))),
% 0.14/0.41 inference(cnf_transformation,[],[f46])).
% 0.14/0.41 thf(f46,plain,(
% 0.14/0.41 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))))),
% 0.14/0.41 inference(fool_elimination,[],[f45])).
% 0.14/0.41 thf(f45,plain,(
% 0.14/0.41 ((^[X0 : $i > mworld > $o, X1 : mworld] : (? [X2] : ((eiw_di @ X2 @ X1) & (X0 @ X2 @ X1)))) = mexists_di)),
% 0.14/0.41 inference(rectify,[],[f13])).
% 0.14/0.41 thf(f13,axiom,(
% 0.14/0.41 ((^[X1 : $i > mworld > $o, X2 : mworld] : (? [X5] : ((eiw_di @ X5 @ X2) & (X1 @ X5 @ X2)))) = mexists_di)),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_di_def)).
% 0.14/0.41 thf(f64,plain,(
% 0.14/0.41 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 0.14/0.41 inference(cnf_transformation,[],[f52])).
% 0.14/0.41 thf(f52,plain,(
% 0.14/0.41 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 0.14/0.41 inference(fool_elimination,[],[f51])).
% 0.14/0.41 thf(f51,plain,(
% 0.14/0.41 ((^[X0 : $i > mworld > $o, X1 : mworld] : (! [X2] : ((eiw_di @ X2 @ X1) => (X0 @ X2 @ X1)))) = mforall_di)),
% 0.14/0.41 inference(rectify,[],[f12])).
% 0.14/0.41 thf(f12,axiom,(
% 0.14/0.41 ((^[X1 : $i > mworld > $o, X2 : mworld] : (! [X5] : ((eiw_di @ X5 @ X2) => (X1 @ X5 @ X2)))) = mforall_di)),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_di_def)).
% 0.14/0.41 thf(f58,plain,(
% 0.14/0.41 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.14/0.41 inference(cnf_transformation,[],[f28])).
% 0.14/0.41 thf(f28,plain,(
% 0.14/0.41 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.14/0.41 inference(fool_elimination,[],[f27])).
% 0.14/0.41 thf(f27,plain,(
% 0.14/0.41 ((^[X0 : mworld > $o, X1 : mworld] : (! [X2 : mworld] : ((mrel @ X1 @ X2) => (X0 @ X2)))) = mbox)),
% 0.14/0.41 inference(rectify,[],[f7])).
% 0.14/0.41 thf(f7,axiom,(
% 0.14/0.41 ((^[X0 : mworld > $o, X2 : mworld] : (! [X4 : mworld] : ((mrel @ X2 @ X4) => (X0 @ X4)))) = mbox)),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_def)).
% 0.14/0.41 thf(f73,plain,(
% 0.14/0.41 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.14/0.41 inference(cnf_transformation,[],[f22])).
% 0.14/0.41 thf(f22,plain,(
% 0.14/0.41 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.14/0.41 inference(fool_elimination,[],[f1])).
% 0.14/0.41 thf(f1,axiom,(
% 0.14/0.41 ((^[X0 : mworld > $o] : (X0 @ mactual)) = mlocal)),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_def)).
% 0.14/0.41 thf(f66,plain,(
% 0.14/0.41 ($true != (mlocal @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mimplies @ (mand @ (bomb @ Y0) @ (h @ Y1)) @ (defused @ Y0)))))))))),
% 0.14/0.41 inference(cnf_transformation,[],[f53])).
% 0.14/0.41 thf(f53,plain,(
% 0.14/0.41 ($true != (mlocal @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mimplies @ (mand @ (bomb @ Y0) @ (h @ Y1)) @ (defused @ Y0)))))))))),
% 0.14/0.41 inference(flattening,[],[f36])).
% 0.14/0.41 thf(f36,plain,(
% 0.14/0.41 ~($true = (mlocal @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mimplies @ (mand @ (bomb @ Y0) @ (h @ Y1)) @ (defused @ Y0)))))))))),
% 0.14/0.41 inference(fool_elimination,[],[f35])).
% 0.14/0.41 thf(f35,plain,(
% 0.14/0.41 ~(mlocal @ (mbox @ (mforall_di @ (^[X0 : $i] : (mexists_di @ (^[X1 : $i] : (mimplies @ (mand @ (bomb @ X0) @ (h @ X1)) @ (defused @ X0))))))))),
% 0.14/0.41 inference(rectify,[],[f18])).
% 0.14/0.41 thf(f18,negated_conjecture,(
% 0.14/0.41 ~(mlocal @ (mbox @ (mforall_di @ (^[X5 : $i] : (mexists_di @ (^[X6 : $i] : (mimplies @ (mand @ (bomb @ X5) @ (h @ X6)) @ (defused @ X5))))))))),
% 0.14/0.41 inference(negated_conjecture,[],[f17])).
% 0.14/0.41 thf(f17,conjecture,(
% 0.14/0.41 (mlocal @ (mbox @ (mforall_di @ (^[X5 : $i] : (mexists_di @ (^[X6 : $i] : (mimplies @ (mand @ (bomb @ X5) @ (h @ X6)) @ (defused @ X5))))))))),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.14/0.41 thf(f134,plain,(
% 0.14/0.41 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (($false = (h @ (sK6 @ X1 @ X2) @ X3)) | ((mrel @ mactual @ X1) = $false) | ((bomb @ X2 @ X3) = $false) | ($false = (eiw_di @ X2 @ X1)) | ((mrel @ X1 @ X3) = $false) | ($true = (defused @ X2 @ X3))) )),
% 0.14/0.41 inference(binary_proxy_clausification,[],[f133])).
% 0.14/0.41 thf(f133,plain,(
% 0.14/0.41 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (((mrel @ X1 @ X3) = $false) | ($true = (defused @ X2 @ X3)) | (((bomb @ X2 @ X3) & (h @ (sK6 @ X1 @ X2) @ X3)) = $false) | ((mrel @ mactual @ X1) = $false) | ($false = (eiw_di @ X2 @ X1))) )),
% 0.14/0.41 inference(binary_proxy_clausification,[],[f132])).
% 0.14/0.41 thf(f132,plain,(
% 0.14/0.41 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ((mrel @ X1 @ X3) = $false) | ($false = (eiw_di @ X2 @ X1)) | ((((bomb @ X2 @ X3) & (h @ (sK6 @ X1 @ X2) @ X3)) => (defused @ X2 @ X3)) = $true)) )),
% 0.14/0.41 inference(binary_proxy_clausification,[],[f131])).
% 0.14/0.41 thf(f131,plain,(
% 0.14/0.41 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : ((((mrel @ X1 @ X3) => (((bomb @ X2 @ X3) & (h @ (sK6 @ X1 @ X2) @ X3)) => (defused @ X2 @ X3))) = $true) | ($false = (eiw_di @ X2 @ X1)) | ((mrel @ mactual @ X1) = $false)) )),
% 0.14/0.41 inference(beta_eta_normalization,[],[f130])).
% 0.14/0.41 thf(f130,plain,(
% 0.14/0.41 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : ((((^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (((bomb @ X2 @ Y0) & (h @ (sK6 @ X1 @ X2) @ Y0)) => (defused @ X2 @ Y0)))) @ X3) = $true) | ((mrel @ mactual @ X1) = $false) | ($false = (eiw_di @ X2 @ X1))) )),
% 0.14/0.41 inference(pi_clausification,[],[f129])).
% 0.14/0.41 thf(f129,plain,(
% 0.14/0.41 ( ! [X2 : $i,X1 : mworld] : (($true = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (((bomb @ X2 @ Y0) & (h @ (sK6 @ X1 @ X2) @ Y0)) => (defused @ X2 @ Y0)))))) | ($false = (eiw_di @ X2 @ X1)) | ((mrel @ mactual @ X1) = $false)) )),
% 0.14/0.41 inference(binary_proxy_clausification,[],[f127])).
% 0.14/0.41 thf(f127,plain,(
% 0.14/0.41 ( ! [X2 : $i,X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ($true = ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (((bomb @ X2 @ Y0) & (h @ (sK6 @ X1 @ X2) @ Y0)) => (defused @ X2 @ Y0))))) & (eiw_di @ (sK6 @ X1 @ X2) @ X1))) | ($false = (eiw_di @ X2 @ X1))) )),
% 0.14/0.41 inference(beta_eta_normalization,[],[f126])).
% 0.14/0.41 thf(f126,plain,(
% 0.14/0.41 ( ! [X2 : $i,X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ($true = ((^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (((bomb @ X2 @ Y1) & (h @ Y0 @ Y1)) => (defused @ X2 @ Y1))))) & (eiw_di @ Y0 @ X1))) @ (sK6 @ X1 @ X2))) | ($false = (eiw_di @ X2 @ X1))) )),
% 0.14/0.41 inference(sigma_clausification,[],[f125])).
% 0.14/0.41 thf(f125,plain,(
% 0.14/0.41 ( ! [X2 : $i,X1 : mworld] : (($false = (eiw_di @ X2 @ X1)) | ((mrel @ mactual @ X1) = $false) | ((?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (((bomb @ X2 @ Y1) & (h @ Y0 @ Y1)) => (defused @ X2 @ Y1))))) & (eiw_di @ Y0 @ X1)))) = $true)) )),
% 0.14/0.41 inference(binary_proxy_clausification,[],[f124])).
% 0.14/0.41 thf(f124,plain,(
% 0.14/0.41 ( ! [X2 : $i,X1 : mworld] : (($true = ((eiw_di @ X2 @ X1) => (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (((bomb @ X2 @ Y1) & (h @ Y0 @ Y1)) => (defused @ X2 @ Y1))))) & (eiw_di @ Y0 @ X1)))))) | ((mrel @ mactual @ X1) = $false)) )),
% 0.14/0.41 inference(beta_eta_normalization,[],[f123])).
% 0.14/0.41 thf(f123,plain,(
% 0.14/0.41 ( ! [X2 : $i,X1 : mworld] : (((mrel @ mactual @ X1) = $false) | (((^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ X1 @ Y2) => (((bomb @ Y0 @ Y2) & (h @ Y1 @ Y2)) => (defused @ Y0 @ Y2))))) & (eiw_di @ Y1 @ X1)))))) @ X2) = $true)) )),
% 0.14/0.41 inference(pi_clausification,[],[f122])).
% 0.14/0.41 thf(f122,plain,(
% 0.14/0.41 ( ! [X1 : mworld] : (($true = (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ X1 @ Y2) => (((bomb @ Y0 @ Y2) & (h @ Y1 @ Y2)) => (defused @ Y0 @ Y2))))) & (eiw_di @ Y1 @ X1)))))))) | ((mrel @ mactual @ X1) = $false)) )),
% 0.14/0.41 inference(binary_proxy_clausification,[],[f121])).
% 0.14/0.41 thf(f121,plain,(
% 0.14/0.41 ( ! [X1 : mworld] : (($true = ((mrel @ mactual @ X1) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ X1 @ Y2) => (((bomb @ Y0 @ Y2) & (h @ Y1 @ Y2)) => (defused @ Y0 @ Y2))))) & (eiw_di @ Y1 @ X1)))))))))) )),
% 0.14/0.41 inference(beta_eta_normalization,[],[f120])).
% 0.14/0.41 thf(f120,plain,(
% 0.14/0.41 ( ! [X1 : mworld] : ((((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (?? @ $i @ (^[Y2 : $i]: ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y0 @ Y3) => (((bomb @ Y1 @ Y3) & (h @ Y2 @ Y3)) => (defused @ Y1 @ Y3))))) & (eiw_di @ Y2 @ Y0))))))))) @ X1) = $true)) )),
% 0.14/0.41 inference(pi_clausification,[],[f119])).
% 0.14/0.41 thf(f119,plain,(
% 0.14/0.41 ($true = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (?? @ $i @ (^[Y2 : $i]: ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y0 @ Y3) => (((bomb @ Y1 @ Y3) & (h @ Y2 @ Y3)) => (defused @ Y1 @ Y3))))) & (eiw_di @ Y2 @ Y0)))))))))))),
% 0.14/0.41 inference(beta_eta_normalization,[],[f78])).
% 0.14/0.41 thf(f78,plain,(
% 0.14/0.41 (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[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 : $i > mworld > $o]: ((^[Y2 : mworld]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) & (eiw_di @ Y3 @ Y2))))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y2 @ Y4) => (Y3 @ Y4))))))) @ ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y2 @ Y4) & (Y3 @ Y4))))))) @ (bomb @ Y0) @ (h @ Y1)) @ (defused @ Y0))))))))) = $true)),
% 0.14/0.41 inference(definition_unfolding,[],[f74,f73,f58,f64,f61,f58,f69,f68])).
% 0.14/0.41 thf(f74,plain,(
% 0.14/0.41 ((mlocal @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mbox @ (mimplies @ (mand @ (bomb @ Y0) @ (h @ Y1)) @ (defused @ Y0))))))))) = $true)),
% 0.14/0.41 inference(cnf_transformation,[],[f34])).
% 0.14/0.41 thf(f34,plain,(
% 0.14/0.41 ((mlocal @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mbox @ (mimplies @ (mand @ (bomb @ Y0) @ (h @ Y1)) @ (defused @ Y0))))))))) = $true)),
% 0.14/0.41 inference(fool_elimination,[],[f33])).
% 0.14/0.41 thf(f33,plain,(
% 0.14/0.41 (mlocal @ (mbox @ (mforall_di @ (^[X0 : $i] : (mexists_di @ (^[X1 : $i] : (mbox @ (mimplies @ (mand @ (bomb @ X0) @ (h @ X1)) @ (defused @ X0)))))))))),
% 0.14/0.41 inference(rectify,[],[f16])).
% 0.14/0.41 thf(f16,axiom,(
% 0.14/0.41 (mlocal @ (mbox @ (mforall_di @ (^[X5 : $i] : (mexists_di @ (^[X6 : $i] : (mbox @ (mimplies @ (mand @ (bomb @ X5) @ (h @ X6)) @ (defused @ X5)))))))))),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)).
% 0.14/0.41 thf(f128,plain,(
% 0.14/0.41 ( ! [X2 : $i,X1 : mworld] : (($true = (eiw_di @ (sK6 @ X1 @ X2) @ X1)) | ($false = (eiw_di @ X2 @ X1)) | ((mrel @ mactual @ X1) = $false)) )),
% 0.14/0.41 inference(binary_proxy_clausification,[],[f127])).
% 0.14/0.41 thf(f212,plain,(
% 0.14/0.41 ~spl1_6),
% 0.14/0.41 inference(avatar_contradiction_clause,[],[f211])).
% 0.14/0.41 thf(f211,plain,(
% 0.14/0.41 $false | ~spl1_6),
% 0.14/0.41 inference(trivial_inequality_removal,[],[f203])).
% 0.14/0.41 thf(f203,plain,(
% 0.14/0.41 ($true = $false) | ~spl1_6),
% 0.14/0.41 inference(superposition,[],[f171,f95])).
% 0.14/0.41 thf(f95,plain,(
% 0.14/0.41 ((eiw_di @ sK4 @ sK3) = $true)),
% 0.14/0.41 inference(binary_proxy_clausification,[],[f93])).
% 0.14/0.41 thf(f171,plain,(
% 0.14/0.41 ((eiw_di @ sK4 @ sK3) = $false) | ~spl1_6),
% 0.14/0.41 inference(avatar_component_clause,[],[f169])).
% 0.14/0.41 thf(f197,plain,(
% 0.14/0.41 ~spl1_5),
% 0.14/0.41 inference(avatar_contradiction_clause,[],[f196])).
% 0.14/0.41 thf(f196,plain,(
% 0.14/0.41 $false | ~spl1_5),
% 0.14/0.41 inference(trivial_inequality_removal,[],[f192])).
% 0.14/0.41 thf(f192,plain,(
% 0.14/0.41 ($true = $false) | ~spl1_5),
% 0.14/0.41 inference(superposition,[],[f167,f60])).
% 0.14/0.41 thf(f167,plain,(
% 0.14/0.41 ($false = (mrel @ mactual @ sK3)) | ~spl1_5),
% 0.14/0.41 inference(avatar_component_clause,[],[f165])).
% 0.14/0.41 thf(f148,plain,(
% 0.14/0.41 spl1_1 | spl1_3),
% 0.14/0.41 inference(avatar_split_clause,[],[f102,f145,f137])).
% 0.14/0.41 thf(f102,plain,(
% 0.14/0.41 ( ! [X1 : $i] : (($true = (bomb @ sK4 @ sK3)) | ((eiw_di @ X1 @ sK3) = $false)) )),
% 0.14/0.41 inference(binary_proxy_clausification,[],[f100])).
% 0.14/0.41 thf(f143,plain,(
% 0.14/0.41 spl1_1 | spl1_2),
% 0.14/0.41 inference(avatar_split_clause,[],[f99,f140,f137])).
% 0.14/0.41 thf(f99,plain,(
% 0.14/0.41 ( ! [X1 : $i] : (((eiw_di @ X1 @ sK3) = $false) | ($false = (defused @ sK4 @ sK3))) )),
% 0.14/0.41 inference(binary_proxy_clausification,[],[f98])).
% 0.14/0.41 % SZS output end Proof for theBenchmark
% 0.14/0.41 % (24058)------------------------------
% 0.14/0.41 % (24058)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (24058)Termination reason: Refutation
% 0.14/0.41
% 0.14/0.41 % (24058)Memory used [KB]: 5884
% 0.14/0.41 % (24058)Time elapsed: 0.029 s
% 0.14/0.41 % (24058)Instructions burned: 32 (million)
% 0.14/0.41 % (24058)------------------------------
% 0.14/0.41 % (24058)------------------------------
% 0.14/0.41 % (24056)Success in time 0.04 s
% 0.14/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------