TSTP Solution File: SET926^11 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET926^11 : TPTP v8.1.2. 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 : n006.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 : Sun May 5 09:09:04 EDT 2024
% Result : Theorem 0.21s 0.41s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET926^11 : TPTP v8.1.2. Released v8.1.0.
% 0.10/0.14 % 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
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 16:33:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TH0_THM_EQU_NAR problem
% 0.15/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.tqq8QZigi2/Vampire---4.8_24800
% 0.15/0.37 % (25025)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.15/0.37 % (25027)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 Vampire---4 for (2999ds/27Mi)
% 0.15/0.37 % (25026)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 Vampire---4 for (2999ds/4Mi)
% 0.15/0.37 % (25032)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.15/0.38 % (25031)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.15/0.38 % (25030)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.38 % (25029)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.38 % (25026)Instruction limit reached!
% 0.15/0.38 % (25026)------------------------------
% 0.15/0.38 % (25026)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (25026)Termination reason: Unknown
% 0.15/0.38 % (25026)Termination phase: Property scanning
% 0.15/0.38
% 0.15/0.38 % (25026)Memory used [KB]: 1023
% 0.15/0.38 % (25026)Time elapsed: 0.004 s
% 0.15/0.38 % (25026)Instructions burned: 5 (million)
% 0.15/0.38 % (25026)------------------------------
% 0.15/0.38 % (25026)------------------------------
% 0.15/0.38 % (25033)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.15/0.38 % (25030)Instruction limit reached!
% 0.15/0.38 % (25030)------------------------------
% 0.15/0.38 % (25030)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (25030)Termination reason: Unknown
% 0.15/0.38 % (25030)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (25030)Memory used [KB]: 1023
% 0.15/0.38 % (25030)Time elapsed: 0.003 s
% 0.15/0.38 % (25030)Instructions burned: 3 (million)
% 0.15/0.38 % (25030)------------------------------
% 0.15/0.38 % (25030)------------------------------
% 0.15/0.38 % (25029)Instruction limit reached!
% 0.15/0.38 % (25029)------------------------------
% 0.15/0.38 % (25029)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (25029)Termination reason: Unknown
% 0.15/0.38 % (25029)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (25029)Memory used [KB]: 1023
% 0.15/0.38 % (25029)Time elapsed: 0.003 s
% 0.15/0.38 % (25029)Instructions burned: 2 (million)
% 0.15/0.38 % (25029)------------------------------
% 0.15/0.38 % (25029)------------------------------
% 0.15/0.38 % (25033)Instruction limit reached!
% 0.15/0.38 % (25033)------------------------------
% 0.15/0.38 % (25033)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (25033)Termination reason: Unknown
% 0.15/0.38 % (25033)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (25033)Memory used [KB]: 1023
% 0.15/0.38 % (25033)Time elapsed: 0.003 s
% 0.15/0.38 % (25033)Instructions burned: 3 (million)
% 0.15/0.38 % (25033)------------------------------
% 0.15/0.38 % (25033)------------------------------
% 0.15/0.38 % (25031)Refutation not found, incomplete strategy
% 0.15/0.38 % (25031)------------------------------
% 0.15/0.38 % (25031)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (25031)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38
% 0.15/0.38
% 0.15/0.38 % (25031)Memory used [KB]: 5500
% 0.15/0.38 % (25031)Time elapsed: 0.007 s
% 0.15/0.38 % (25031)Instructions burned: 8 (million)
% 0.15/0.38 % (25031)------------------------------
% 0.15/0.38 % (25031)------------------------------
% 0.15/0.38 % (25032)Instruction limit reached!
% 0.15/0.38 % (25032)------------------------------
% 0.15/0.38 % (25032)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (25032)Termination reason: Unknown
% 0.15/0.38 % (25032)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (25032)Memory used [KB]: 5628
% 0.15/0.38 % (25032)Time elapsed: 0.012 s
% 0.15/0.38 % (25032)Instructions burned: 18 (million)
% 0.15/0.38 % (25032)------------------------------
% 0.15/0.38 % (25032)------------------------------
% 0.15/0.39 % (25027)Instruction limit reached!
% 0.15/0.39 % (25027)------------------------------
% 0.15/0.39 % (25027)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (25027)Termination reason: Unknown
% 0.15/0.39 % (25027)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (25027)Memory used [KB]: 5756
% 0.15/0.39 % (25027)Time elapsed: 0.016 s
% 0.15/0.39 % (25027)Instructions burned: 27 (million)
% 0.15/0.39 % (25027)------------------------------
% 0.15/0.39 % (25027)------------------------------
% 0.15/0.39 % (25044)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 Vampire---4 for (2999ds/37Mi)
% 0.15/0.39 % (25047)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 Vampire---4 for (2999ds/1041Mi)
% 0.15/0.39 % (25046)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.15/0.40 % (25046)Instruction limit reached!
% 0.15/0.40 % (25046)------------------------------
% 0.15/0.40 % (25046)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (25046)Termination reason: Unknown
% 0.15/0.40 % (25046)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (25046)Memory used [KB]: 1023
% 0.15/0.40 % (25046)Time elapsed: 0.004 s
% 0.15/0.40 % (25046)Instructions burned: 3 (million)
% 0.15/0.40 % (25046)------------------------------
% 0.15/0.40 % (25046)------------------------------
% 0.15/0.40 % (25048)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.15/0.40 % (25045)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 Vampire---4 for (2999ds/15Mi)
% 0.15/0.40 % (25049)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.15/0.40 % (25048)Instruction limit reached!
% 0.15/0.40 % (25048)------------------------------
% 0.15/0.40 % (25048)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (25048)Termination reason: Unknown
% 0.15/0.40 % (25048)Termination phase: Function definition elimination
% 0.15/0.40
% 0.15/0.40 % (25048)Memory used [KB]: 1023
% 0.15/0.40 % (25048)Time elapsed: 0.006 s
% 0.15/0.40 % (25048)Instructions burned: 9 (million)
% 0.15/0.40 % (25048)------------------------------
% 0.15/0.40 % (25048)------------------------------
% 0.15/0.40 % (25025)First to succeed.
% 0.15/0.40 % (25050)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 Vampire---4 for (2999ds/3Mi)
% 0.15/0.41 % (25050)Instruction limit reached!
% 0.15/0.41 % (25050)------------------------------
% 0.15/0.41 % (25050)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (25050)Termination reason: Unknown
% 0.15/0.41 % (25050)Termination phase: shuffling
% 0.15/0.41
% 0.15/0.41 % (25050)Memory used [KB]: 1023
% 0.15/0.41 % (25050)Time elapsed: 0.004 s
% 0.15/0.41 % (25050)Instructions burned: 4 (million)
% 0.15/0.41 % (25050)------------------------------
% 0.15/0.41 % (25050)------------------------------
% 0.21/0.41 % (25025)Refutation found. Thanks to Tanya!
% 0.21/0.41 % SZS status Theorem for Vampire---4
% 0.21/0.41 % SZS output start Proof for Vampire---4
% 0.21/0.41 thf(type_def_5, type, mworld: $tType).
% 0.21/0.41 thf(func_def_0, type, mworld: $tType).
% 0.21/0.41 thf(func_def_1, type, mrel: mworld > mworld > $o).
% 0.21/0.41 thf(func_def_2, type, mactual: mworld).
% 0.21/0.41 thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 0.21/0.41 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 0.21/0.41 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.21/0.41 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.21/0.41 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.21/0.41 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.21/0.41 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 0.21/0.41 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 0.21/0.41 thf(func_def_12, type, eiw_di: $i > mworld > $o).
% 0.21/0.41 thf(func_def_13, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 0.21/0.41 thf(func_def_14, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 0.21/0.41 thf(func_def_16, type, qmltpeq: $i > $i > mworld > $o).
% 0.21/0.41 thf(func_def_17, type, in: $i > $i > mworld > $o).
% 0.21/0.41 thf(func_def_18, type, empty: $i > mworld > $o).
% 0.21/0.41 thf(func_def_19, type, singleton: $i > $i).
% 0.21/0.41 thf(func_def_20, type, set_difference: $i > $i > $i).
% 0.21/0.41 thf(func_def_34, type, sK0: mworld > $i).
% 0.21/0.41 thf(f468,plain,(
% 0.21/0.41 $false),
% 0.21/0.41 inference(avatar_sat_refutation,[],[f393,f441,f447,f454,f465])).
% 0.21/0.41 thf(f465,plain,(
% 0.21/0.41 ~spl1_7 | ~spl1_10),
% 0.21/0.41 inference(avatar_contradiction_clause,[],[f464])).
% 0.21/0.41 thf(f464,plain,(
% 0.21/0.41 $false | (~spl1_7 | ~spl1_10)),
% 0.21/0.41 inference(trivial_inequality_removal,[],[f456])).
% 0.21/0.41 thf(f456,plain,(
% 0.21/0.41 ($true = $false) | (~spl1_7 | ~spl1_10)),
% 0.21/0.41 inference(superposition,[],[f439,f383])).
% 0.21/0.41 thf(f383,plain,(
% 0.21/0.41 ($false = (in @ sK2 @ sK3 @ mactual)) | ~spl1_7),
% 0.21/0.41 inference(avatar_component_clause,[],[f381])).
% 0.21/0.41 thf(f381,plain,(
% 0.21/0.41 spl1_7 <=> ($false = (in @ sK2 @ sK3 @ mactual))),
% 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_7])])).
% 0.21/0.41 thf(f439,plain,(
% 0.21/0.41 ($true = (in @ sK2 @ sK3 @ mactual)) | ~spl1_10),
% 0.21/0.41 inference(avatar_component_clause,[],[f437])).
% 0.21/0.41 thf(f437,plain,(
% 0.21/0.41 spl1_10 <=> ($true = (in @ sK2 @ sK3 @ mactual))),
% 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_10])])).
% 0.21/0.41 thf(f454,plain,(
% 0.21/0.41 ~spl1_9),
% 0.21/0.41 inference(avatar_contradiction_clause,[],[f453])).
% 0.21/0.41 thf(f453,plain,(
% 0.21/0.41 $false | ~spl1_9),
% 0.21/0.41 inference(trivial_inequality_removal,[],[f450])).
% 0.21/0.41 thf(f450,plain,(
% 0.21/0.41 ($true = $false) | ~spl1_9),
% 0.21/0.41 inference(superposition,[],[f240,f391])).
% 0.21/0.41 thf(f391,plain,(
% 0.21/0.41 ((eiw_di @ sK2 @ mactual) = $false) | ~spl1_9),
% 0.21/0.41 inference(avatar_component_clause,[],[f389])).
% 0.21/0.41 thf(f389,plain,(
% 0.21/0.41 spl1_9 <=> ((eiw_di @ sK2 @ mactual) = $false)),
% 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_9])])).
% 0.21/0.41 thf(f240,plain,(
% 0.21/0.41 ((eiw_di @ sK2 @ mactual) = $true)),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f238])).
% 0.21/0.41 thf(f238,plain,(
% 0.21/0.41 (((eiw_di @ sK2 @ mactual) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ sK2) @ Y0) @ empty_set @ mactual) | (qmltpeq @ (set_difference @ (singleton @ sK2) @ Y0) @ (singleton @ sK2) @ mactual)))))) = $false)),
% 0.21/0.41 inference(beta_eta_normalization,[],[f237])).
% 0.21/0.41 thf(f237,plain,(
% 0.21/0.41 ($false = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set @ mactual) | (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0) @ mactual))))))) @ sK2))),
% 0.21/0.41 inference(sigma_clausification,[],[f236])).
% 0.21/0.41 thf(f236,plain,(
% 0.21/0.41 ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set @ mactual) | (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0) @ mactual)))))))) != $true)),
% 0.21/0.41 inference(beta_eta_normalization,[],[f138])).
% 0.21/0.41 thf(f138,plain,(
% 0.21/0.41 ($true != ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[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]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set) @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0)))))))))),
% 0.21/0.41 inference(definition_unfolding,[],[f122,f107,f95,f95,f112])).
% 0.21/0.41 thf(f112,plain,(
% 0.21/0.41 (mor = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.21/0.41 inference(cnf_transformation,[],[f65])).
% 0.21/0.41 thf(f65,plain,(
% 0.21/0.41 (mor = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.21/0.41 inference(fool_elimination,[],[f64])).
% 0.21/0.41 thf(f64,plain,(
% 0.21/0.41 ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X1 @ X2) | (X0 @ X2))) = mor)),
% 0.21/0.41 inference(rectify,[],[f4])).
% 0.21/0.41 thf(f4,axiom,(
% 0.21/0.41 ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X3 @ X2) | (X1 @ X2))) = mor)),
% 0.21/0.41 file('/export/starexec/sandbox2/tmp/tmp.tqq8QZigi2/Vampire---4.8_24800',mor_def)).
% 0.21/0.41 thf(f95,plain,(
% 0.21/0.41 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 0.21/0.41 inference(cnf_transformation,[],[f33])).
% 0.21/0.41 thf(f33,plain,(
% 0.21/0.41 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 0.21/0.41 inference(fool_elimination,[],[f32])).
% 0.21/0.41 thf(f32,plain,(
% 0.21/0.41 (mforall_di = (^[X0 : $i > mworld > $o, X1 : mworld] : (! [X2] : ((eiw_di @ X2 @ X1) => (X0 @ X2 @ X1)))))),
% 0.21/0.41 inference(rectify,[],[f12])).
% 0.21/0.41 thf(f12,axiom,(
% 0.21/0.41 (mforall_di = (^[X1 : $i > mworld > $o, X2 : mworld] : (! [X6] : ((eiw_di @ X6 @ X2) => (X1 @ X6 @ X2)))))),
% 0.21/0.41 file('/export/starexec/sandbox2/tmp/tmp.tqq8QZigi2/Vampire---4.8_24800',mforall_di_def)).
% 0.21/0.41 thf(f107,plain,(
% 0.21/0.41 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.21/0.41 inference(cnf_transformation,[],[f80])).
% 0.21/0.41 thf(f80,plain,(
% 0.21/0.41 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.21/0.41 inference(fool_elimination,[],[f1])).
% 0.21/0.41 thf(f1,axiom,(
% 0.21/0.41 ((^[X0 : mworld > $o] : (X0 @ mactual)) = mlocal)),
% 0.21/0.41 file('/export/starexec/sandbox2/tmp/tmp.tqq8QZigi2/Vampire---4.8_24800',mlocal_def)).
% 0.21/0.41 thf(f122,plain,(
% 0.21/0.41 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mor @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set) @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0)))))))) != $true)),
% 0.21/0.41 inference(cnf_transformation,[],[f89])).
% 0.21/0.41 thf(f89,plain,(
% 0.21/0.41 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mor @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set) @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0)))))))) != $true)),
% 0.21/0.41 inference(flattening,[],[f79])).
% 0.21/0.41 thf(f79,plain,(
% 0.21/0.41 ~((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mor @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set) @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0)))))))) = $true)),
% 0.21/0.41 inference(fool_elimination,[],[f78])).
% 0.21/0.41 thf(f78,plain,(
% 0.21/0.41 ~(mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mor @ (qmltpeq @ (set_difference @ (singleton @ X0) @ X1) @ empty_set) @ (qmltpeq @ (set_difference @ (singleton @ X0) @ X1) @ (singleton @ X0))))))))),
% 0.21/0.41 inference(rectify,[],[f30])).
% 0.21/0.41 thf(f30,negated_conjecture,(
% 0.21/0.41 ~(mlocal @ (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (mor @ (qmltpeq @ (set_difference @ (singleton @ X1) @ X3) @ empty_set) @ (qmltpeq @ (set_difference @ (singleton @ X1) @ X3) @ (singleton @ X1))))))))),
% 0.21/0.41 inference(negated_conjecture,[],[f29])).
% 0.21/0.41 thf(f29,conjecture,(
% 0.21/0.41 (mlocal @ (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (mor @ (qmltpeq @ (set_difference @ (singleton @ X1) @ X3) @ empty_set) @ (qmltpeq @ (set_difference @ (singleton @ X1) @ X3) @ (singleton @ X1))))))))),
% 0.21/0.41 file('/export/starexec/sandbox2/tmp/tmp.tqq8QZigi2/Vampire---4.8_24800',t69_zfmisc_1)).
% 0.21/0.41 thf(f447,plain,(
% 0.21/0.41 ~spl1_8),
% 0.21/0.41 inference(avatar_contradiction_clause,[],[f446])).
% 0.21/0.41 thf(f446,plain,(
% 0.21/0.41 $false | ~spl1_8),
% 0.21/0.41 inference(trivial_inequality_removal,[],[f443])).
% 0.21/0.41 thf(f443,plain,(
% 0.21/0.41 ($true = $false) | ~spl1_8),
% 0.21/0.41 inference(superposition,[],[f244,f387])).
% 0.21/0.41 thf(f387,plain,(
% 0.21/0.41 ((eiw_di @ sK3 @ mactual) = $false) | ~spl1_8),
% 0.21/0.41 inference(avatar_component_clause,[],[f385])).
% 0.21/0.41 thf(f385,plain,(
% 0.21/0.41 spl1_8 <=> ((eiw_di @ sK3 @ mactual) = $false)),
% 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_8])])).
% 0.21/0.41 thf(f244,plain,(
% 0.21/0.41 ((eiw_di @ sK3 @ mactual) = $true)),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f242])).
% 0.21/0.41 thf(f242,plain,(
% 0.21/0.41 (((eiw_di @ sK3 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ sK2) @ sK3) @ empty_set @ mactual) | (qmltpeq @ (set_difference @ (singleton @ sK2) @ sK3) @ (singleton @ sK2) @ mactual))) = $false)),
% 0.21/0.41 inference(beta_eta_normalization,[],[f241])).
% 0.21/0.41 thf(f241,plain,(
% 0.21/0.41 (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ sK2) @ Y0) @ empty_set @ mactual) | (qmltpeq @ (set_difference @ (singleton @ sK2) @ Y0) @ (singleton @ sK2) @ mactual)))) @ sK3) = $false)),
% 0.21/0.41 inference(sigma_clausification,[],[f239])).
% 0.21/0.41 thf(f239,plain,(
% 0.21/0.41 ($false = (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ sK2) @ Y0) @ empty_set @ mactual) | (qmltpeq @ (set_difference @ (singleton @ sK2) @ Y0) @ (singleton @ sK2) @ mactual))))))),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f238])).
% 0.21/0.41 thf(f441,plain,(
% 0.21/0.41 spl1_9 | spl1_8 | spl1_10),
% 0.21/0.41 inference(avatar_split_clause,[],[f428,f437,f385,f389])).
% 0.21/0.41 thf(f428,plain,(
% 0.21/0.41 ($true = (in @ sK2 @ sK3 @ mactual)) | ((eiw_di @ sK2 @ mactual) = $false) | ((eiw_di @ sK3 @ mactual) = $false)),
% 0.21/0.41 inference(trivial_inequality_removal,[],[f422])).
% 0.21/0.41 thf(f422,plain,(
% 0.21/0.41 ($true = $false) | ($true = (in @ sK2 @ sK3 @ mactual)) | ((eiw_di @ sK3 @ mactual) = $false) | ((eiw_di @ sK2 @ mactual) = $false)),
% 0.21/0.41 inference(superposition,[],[f245,f210])).
% 0.21/0.41 thf(f210,plain,(
% 0.21/0.41 ( ! [X2 : $i,X1 : $i] : (((qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ (singleton @ X1) @ mactual) = $true) | ((in @ X1 @ X2 @ mactual) = $true) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false)) )),
% 0.21/0.41 inference(not_proxy_clausification,[],[f207])).
% 0.21/0.41 thf(f207,plain,(
% 0.21/0.41 ( ! [X2 : $i,X1 : $i] : (((qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ (singleton @ X1) @ mactual) = $true) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (~ (in @ X1 @ X2 @ mactual))) | ((eiw_di @ X2 @ mactual) = $false)) )),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f206])).
% 0.21/0.41 thf(f206,plain,(
% 0.21/0.41 ( ! [X2 : $i,X1 : $i] : (((eiw_di @ X2 @ mactual) = $false) | ((qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ (singleton @ X1) @ mactual) = (~ (in @ X1 @ X2 @ mactual))) | ((eiw_di @ X1 @ mactual) = $false)) )),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f205])).
% 0.21/0.41 thf(f205,plain,(
% 0.21/0.41 ( ! [X2 : $i,X1 : $i] : ((((qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ (singleton @ X1) @ mactual) = (~ (in @ X1 @ X2 @ mactual))) = $true) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) )),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f204])).
% 0.21/0.41 thf(f204,plain,(
% 0.21/0.41 ( ! [X2 : $i,X1 : $i] : ((((eiw_di @ X2 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ (singleton @ X1) @ mactual) = (~ (in @ X1 @ X2 @ mactual)))) = $true) | ((eiw_di @ X1 @ mactual) = $false)) )),
% 0.21/0.41 inference(beta_eta_normalization,[],[f203])).
% 0.21/0.41 thf(f203,plain,(
% 0.21/0.41 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ X1) @ Y0) @ (singleton @ X1) @ mactual) = (~ (in @ X1 @ Y0 @ mactual))))) @ X2) = $true) | ((eiw_di @ X1 @ mactual) = $false)) )),
% 0.21/0.41 inference(pi_clausification,[],[f202])).
% 0.21/0.41 thf(f202,plain,(
% 0.21/0.41 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ X1) @ Y0) @ (singleton @ X1) @ mactual) = (~ (in @ X1 @ Y0 @ mactual))))))) | ((eiw_di @ X1 @ mactual) = $false)) )),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f201])).
% 0.21/0.41 thf(f201,plain,(
% 0.21/0.41 ( ! [X1 : $i] : ((((eiw_di @ X1 @ mactual) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ X1) @ Y0) @ (singleton @ X1) @ mactual) = (~ (in @ X1 @ Y0 @ mactual))))))) = $true)) )),
% 0.21/0.41 inference(beta_eta_normalization,[],[f200])).
% 0.21/0.41 thf(f200,plain,(
% 0.21/0.41 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0) @ mactual) = (~ (in @ Y0 @ Y1 @ mactual)))))))) @ X1))) )),
% 0.21/0.41 inference(pi_clausification,[],[f199])).
% 0.21/0.41 thf(f199,plain,(
% 0.21/0.41 ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0) @ mactual) = (~ (in @ Y0 @ Y1 @ mactual))))))))) = $true)),
% 0.21/0.41 inference(beta_eta_normalization,[],[f136])).
% 0.21/0.41 thf(f136,plain,(
% 0.21/0.41 (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[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]: ((Y2 @ Y4) = (Y3 @ Y4))))))) @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0)) @ ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: (~ (Y2 @ Y3))))) @ (in @ Y0 @ Y1)))))))) = $true)),
% 0.21/0.41 inference(definition_unfolding,[],[f118,f107,f95,f95,f106,f98])).
% 0.21/0.41 thf(f98,plain,(
% 0.21/0.41 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 0.21/0.41 inference(cnf_transformation,[],[f57])).
% 0.21/0.41 thf(f57,plain,(
% 0.21/0.41 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 0.21/0.41 inference(fool_elimination,[],[f56])).
% 0.21/0.41 thf(f56,plain,(
% 0.21/0.41 (mnot = (^[X0 : mworld > $o, X1 : mworld] : (~(X0 @ X1))))),
% 0.21/0.41 inference(rectify,[],[f2])).
% 0.21/0.41 thf(f2,axiom,(
% 0.21/0.41 (mnot = (^[X1 : mworld > $o, X2 : mworld] : (~(X1 @ X2))))),
% 0.21/0.41 file('/export/starexec/sandbox2/tmp/tmp.tqq8QZigi2/Vampire---4.8_24800',mnot_def)).
% 0.21/0.41 thf(f106,plain,(
% 0.21/0.41 (mequiv = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) = (Y1 @ Y2))))))))),
% 0.21/0.41 inference(cnf_transformation,[],[f84])).
% 0.21/0.41 thf(f84,plain,(
% 0.21/0.41 (mequiv = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) = (Y1 @ Y2))))))))),
% 0.21/0.41 inference(fool_elimination,[],[f83])).
% 0.21/0.41 thf(f83,plain,(
% 0.21/0.41 (mequiv = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) <=> (X1 @ X2))))),
% 0.21/0.41 inference(rectify,[],[f6])).
% 0.21/0.41 thf(f6,axiom,(
% 0.21/0.41 (mequiv = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) <=> (X3 @ X2))))),
% 0.21/0.41 file('/export/starexec/sandbox2/tmp/tmp.tqq8QZigi2/Vampire---4.8_24800',mequiv_def)).
% 0.21/0.41 thf(f118,plain,(
% 0.21/0.41 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0)) @ (mnot @ (in @ Y0 @ Y1)))))))) = $true)),
% 0.21/0.41 inference(cnf_transformation,[],[f59])).
% 0.21/0.41 thf(f59,plain,(
% 0.21/0.41 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0)) @ (mnot @ (in @ Y0 @ Y1)))))))) = $true)),
% 0.21/0.41 inference(fool_elimination,[],[f58])).
% 0.21/0.41 thf(f58,plain,(
% 0.21/0.41 (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mequiv @ (qmltpeq @ (set_difference @ (singleton @ X0) @ X1) @ (singleton @ X0)) @ (mnot @ (in @ X0 @ X1))))))))),
% 0.21/0.41 inference(rectify,[],[f25])).
% 0.21/0.41 thf(f25,axiom,(
% 0.21/0.41 (mlocal @ (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (mequiv @ (qmltpeq @ (set_difference @ (singleton @ X1) @ X3) @ (singleton @ X1)) @ (mnot @ (in @ X1 @ X3))))))))),
% 0.21/0.41 file('/export/starexec/sandbox2/tmp/tmp.tqq8QZigi2/Vampire---4.8_24800',l34_zfmisc_1)).
% 0.21/0.41 thf(f245,plain,(
% 0.21/0.41 ((qmltpeq @ (set_difference @ (singleton @ sK2) @ sK3) @ (singleton @ sK2) @ mactual) = $false)),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f243])).
% 0.21/0.41 thf(f243,plain,(
% 0.21/0.41 ($false = ((qmltpeq @ (set_difference @ (singleton @ sK2) @ sK3) @ empty_set @ mactual) | (qmltpeq @ (set_difference @ (singleton @ sK2) @ sK3) @ (singleton @ sK2) @ mactual)))),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f242])).
% 0.21/0.41 thf(f393,plain,(
% 0.21/0.41 spl1_9 | spl1_7 | spl1_8),
% 0.21/0.41 inference(avatar_split_clause,[],[f372,f385,f381,f389])).
% 0.21/0.41 thf(f372,plain,(
% 0.21/0.41 ($false = (in @ sK2 @ sK3 @ mactual)) | ((eiw_di @ sK2 @ mactual) = $false) | ((eiw_di @ sK3 @ mactual) = $false)),
% 0.21/0.41 inference(trivial_inequality_removal,[],[f362])).
% 0.21/0.41 thf(f362,plain,(
% 0.21/0.41 ($false = (in @ sK2 @ sK3 @ mactual)) | ((eiw_di @ sK2 @ mactual) = $false) | ((eiw_di @ sK3 @ mactual) = $false) | ($true = $false)),
% 0.21/0.41 inference(superposition,[],[f268,f246])).
% 0.21/0.41 thf(f246,plain,(
% 0.21/0.41 ((qmltpeq @ (set_difference @ (singleton @ sK2) @ sK3) @ empty_set @ mactual) = $false)),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f243])).
% 0.21/0.41 thf(f268,plain,(
% 0.21/0.41 ( ! [X2 : $i,X1 : $i] : (($true = (qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ empty_set @ mactual)) | ((in @ X1 @ X2 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) )),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f266])).
% 0.21/0.41 thf(f266,plain,(
% 0.21/0.41 ( ! [X2 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ((in @ X1 @ X2 @ mactual) = (qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ empty_set @ mactual)) | ((eiw_di @ X2 @ mactual) = $false)) )),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f265])).
% 0.21/0.41 thf(f265,plain,(
% 0.21/0.41 ( ! [X2 : $i,X1 : $i] : ((((qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ empty_set @ mactual) = (in @ X1 @ X2 @ mactual)) = $true) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false)) )),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f264])).
% 0.21/0.41 thf(f264,plain,(
% 0.21/0.41 ( ! [X2 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ($true = ((eiw_di @ X2 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ empty_set @ mactual) = (in @ X1 @ X2 @ mactual))))) )),
% 0.21/0.41 inference(beta_eta_normalization,[],[f263])).
% 0.21/0.41 thf(f263,plain,(
% 0.21/0.41 ( ! [X2 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ X1) @ Y0) @ empty_set @ mactual) = (in @ X1 @ Y0 @ mactual)))) @ X2))) )),
% 0.21/0.41 inference(pi_clausification,[],[f262])).
% 0.21/0.41 thf(f262,plain,(
% 0.21/0.41 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ X1) @ Y0) @ empty_set @ mactual) = (in @ X1 @ Y0 @ mactual)))))) | ((eiw_di @ X1 @ mactual) = $false)) )),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f261])).
% 0.21/0.41 thf(f261,plain,(
% 0.21/0.41 ( ! [X1 : $i] : ((((eiw_di @ X1 @ mactual) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ X1) @ Y0) @ empty_set @ mactual) = (in @ X1 @ Y0 @ mactual)))))) = $true)) )),
% 0.21/0.41 inference(beta_eta_normalization,[],[f260])).
% 0.21/0.41 thf(f260,plain,(
% 0.21/0.41 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set @ mactual) = (in @ Y0 @ Y1 @ mactual))))))) @ X1))) )),
% 0.21/0.41 inference(pi_clausification,[],[f259])).
% 0.21/0.41 thf(f259,plain,(
% 0.21/0.41 ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set @ mactual) = (in @ Y0 @ Y1 @ mactual)))))))) = $true)),
% 0.21/0.41 inference(beta_eta_normalization,[],[f123])).
% 0.21/0.41 thf(f123,plain,(
% 0.21/0.41 ($true = ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[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]: ((Y2 @ Y4) = (Y3 @ Y4))))))) @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set) @ (in @ Y0 @ Y1))))))))),
% 0.21/0.41 inference(definition_unfolding,[],[f94,f107,f95,f95,f106])).
% 0.21/0.41 thf(f94,plain,(
% 0.21/0.41 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set) @ (in @ Y0 @ Y1))))))) = $true)),
% 0.21/0.41 inference(cnf_transformation,[],[f43])).
% 0.21/0.41 thf(f43,plain,(
% 0.21/0.41 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set) @ (in @ Y0 @ Y1))))))) = $true)),
% 0.21/0.41 inference(fool_elimination,[],[f42])).
% 0.21/0.41 thf(f42,plain,(
% 0.21/0.41 (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mequiv @ (qmltpeq @ (set_difference @ (singleton @ X0) @ X1) @ empty_set) @ (in @ X0 @ X1)))))))),
% 0.21/0.41 inference(rectify,[],[f26])).
% 0.21/0.41 thf(f26,axiom,(
% 0.21/0.41 (mlocal @ (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (mequiv @ (qmltpeq @ (set_difference @ (singleton @ X1) @ X3) @ empty_set) @ (in @ X1 @ X3)))))))),
% 0.21/0.41 file('/export/starexec/sandbox2/tmp/tmp.tqq8QZigi2/Vampire---4.8_24800',l36_zfmisc_1)).
% 0.21/0.41 % SZS output end Proof for Vampire---4
% 0.21/0.41 % (25025)------------------------------
% 0.21/0.41 % (25025)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (25025)Termination reason: Refutation
% 0.21/0.41
% 0.21/0.41 % (25025)Memory used [KB]: 6012
% 0.21/0.41 % (25025)Time elapsed: 0.034 s
% 0.21/0.41 % (25025)Instructions burned: 59 (million)
% 0.21/0.41 % (25025)------------------------------
% 0.21/0.41 % (25025)------------------------------
% 0.21/0.41 % (25020)Success in time 0.052 s
% 0.21/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------