TSTP Solution File: SET926^11 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET926^11 : 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 : n005.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 03:13:57 EDT 2024
% Result : Theorem 0.24s 0.43s
% Output : Refutation 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET926^11 : TPTP v8.2.0. Released v8.1.0.
% 0.08/0.16 % 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
% 0.16/0.37 % Computer : n005.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon May 20 11:55:38 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.16/0.38 This is a TH0_THM_EQU_NAR problem
% 0.16/0.38 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
% 0.16/0.39 % (25145)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.16/0.39 % (25146)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)
% 0.16/0.39 % (25145)Instruction limit reached!
% 0.16/0.39 % (25145)------------------------------
% 0.16/0.39 % (25145)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (25145)Termination reason: Unknown
% 0.16/0.39 % (25145)Termination phase: Saturation
% 0.16/0.39
% 0.16/0.39 % (25145)Memory used [KB]: 5628
% 0.16/0.39 % (25145)Time elapsed: 0.007 s
% 0.16/0.39 % (25145)Instructions burned: 19 (million)
% 0.16/0.39 % (25145)------------------------------
% 0.16/0.39 % (25145)------------------------------
% 0.16/0.40 % (25140)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)
% 0.16/0.40 % (25141)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)
% 0.16/0.40 % (25146)Instruction limit reached!
% 0.16/0.40 % (25146)------------------------------
% 0.16/0.40 % (25146)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (25146)Termination reason: Unknown
% 0.16/0.40 % (25146)Termination phase: Property scanning
% 0.16/0.40
% 0.16/0.40 % (25146)Memory used [KB]: 1023
% 0.16/0.40 % (25146)Time elapsed: 0.003 s
% 0.16/0.40 % (25146)Instructions burned: 5 (million)
% 0.16/0.40 % (25146)------------------------------
% 0.16/0.40 % (25146)------------------------------
% 0.16/0.40 % (25140)Instruction limit reached!
% 0.16/0.40 % (25140)------------------------------
% 0.16/0.40 % (25140)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (25140)Termination reason: Unknown
% 0.16/0.40 % (25140)Termination phase: Property scanning
% 0.16/0.40
% 0.16/0.40 % (25140)Memory used [KB]: 1023
% 0.16/0.40 % (25140)Time elapsed: 0.004 s
% 0.16/0.40 % (25140)Instructions burned: 4 (million)
% 0.16/0.40 % (25140)------------------------------
% 0.16/0.40 % (25140)------------------------------
% 0.16/0.40 % (25139)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.16/0.40 % (25147)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)
% 0.16/0.40 % (25142)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.41 % (25142)Instruction limit reached!
% 0.16/0.41 % (25142)------------------------------
% 0.16/0.41 % (25142)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (25142)Termination reason: Unknown
% 0.16/0.41 % (25142)Termination phase: shuffling
% 0.16/0.41
% 0.16/0.41 % (25142)Memory used [KB]: 1023
% 0.16/0.41 % (25142)Time elapsed: 0.002 s
% 0.16/0.41 % (25142)Instructions burned: 2 (million)
% 0.16/0.41 % (25142)------------------------------
% 0.16/0.41 % (25142)------------------------------
% 0.16/0.41 % (25144)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)
% 0.16/0.41 % (25141)Instruction limit reached!
% 0.16/0.41 % (25141)------------------------------
% 0.16/0.41 % (25141)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (25141)Termination reason: Unknown
% 0.16/0.41 % (25148)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)
% 0.16/0.41 % (25141)Termination phase: Saturation
% 0.16/0.41
% 0.16/0.41 % (25141)Memory used [KB]: 5756
% 0.16/0.41 % (25141)Time elapsed: 0.016 s
% 0.16/0.41 % (25141)Instructions burned: 27 (million)
% 0.16/0.41 % (25141)------------------------------
% 0.16/0.41 % (25141)------------------------------
% 0.16/0.41 % (25149)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)
% 0.16/0.41 % (25144)Refutation not found, incomplete strategy
% 0.16/0.41 % (25144)------------------------------
% 0.16/0.41 % (25144)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (25144)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.41
% 0.16/0.41
% 0.16/0.41 % (25144)Memory used [KB]: 5500
% 0.16/0.41 % (25144)Time elapsed: 0.006 s
% 0.16/0.41 % (25144)Instructions burned: 7 (million)
% 0.16/0.41 % (25144)------------------------------
% 0.16/0.41 % (25144)------------------------------
% 0.16/0.41 % (25147)Instruction limit reached!
% 0.16/0.41 % (25147)------------------------------
% 0.16/0.41 % (25147)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (25147)Termination reason: Unknown
% 0.16/0.41 % (25147)Termination phase: Saturation
% 0.16/0.41
% 0.16/0.41 % (25147)Memory used [KB]: 5884
% 0.16/0.41 % (25147)Time elapsed: 0.012 s
% 0.16/0.41 % (25147)Instructions burned: 38 (million)
% 0.16/0.41 % (25147)------------------------------
% 0.16/0.41 % (25147)------------------------------
% 0.16/0.41 % (25143)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)
% 0.16/0.41 % (25149)Instruction limit reached!
% 0.16/0.41 % (25149)------------------------------
% 0.16/0.41 % (25149)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (25149)Termination reason: Unknown
% 0.16/0.41 % (25149)Termination phase: shuffling
% 0.16/0.41
% 0.16/0.41 % (25149)Memory used [KB]: 1023
% 0.16/0.41 % (25149)Time elapsed: 0.004 s
% 0.16/0.41 % (25149)Instructions burned: 4 (million)
% 0.16/0.41 % (25149)------------------------------
% 0.16/0.41 % (25149)------------------------------
% 0.16/0.41 % (25143)Instruction limit reached!
% 0.16/0.41 % (25143)------------------------------
% 0.16/0.41 % (25143)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (25143)Termination reason: Unknown
% 0.16/0.41 % (25143)Termination phase: shuffling
% 0.16/0.41
% 0.16/0.41 % (25143)Memory used [KB]: 1023
% 0.16/0.41 % (25143)Time elapsed: 0.004 s
% 0.16/0.41 % (25143)Instructions burned: 2 (million)
% 0.16/0.41 % (25143)------------------------------
% 0.16/0.41 % (25143)------------------------------
% 0.16/0.42 % (25148)Instruction limit reached!
% 0.16/0.42 % (25148)------------------------------
% 0.16/0.42 % (25148)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.42 % (25148)Termination reason: Unknown
% 0.16/0.42 % (25148)Termination phase: Saturation
% 0.16/0.42
% 0.16/0.42 % (25148)Memory used [KB]: 1151
% 0.16/0.42 % (25148)Time elapsed: 0.008 s
% 0.16/0.42 % (25148)Instructions burned: 15 (million)
% 0.16/0.42 % (25148)------------------------------
% 0.16/0.42 % (25148)------------------------------
% 0.16/0.42 % (25150)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)
% 0.16/0.42 % (25152)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.24/0.42 % (25151)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.24/0.43 % (25152)Instruction limit reached!
% 0.24/0.43 % (25152)------------------------------
% 0.24/0.43 % (25152)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.43 % (25152)Termination reason: Unknown
% 0.24/0.43 % (25152)Termination phase: Saturation
% 0.24/0.43
% 0.24/0.43 % (25152)Memory used [KB]: 5628
% 0.24/0.43 % (25152)Time elapsed: 0.006 s
% 0.24/0.43 % (25152)Instructions burned: 16 (million)
% 0.24/0.43 % (25152)------------------------------
% 0.24/0.43 % (25152)------------------------------
% 0.24/0.43 % (25151)Instruction limit reached!
% 0.24/0.43 % (25151)------------------------------
% 0.24/0.43 % (25151)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.43 % (25153)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.24/0.43 % (25151)Termination reason: Unknown
% 0.24/0.43 % (25151)Termination phase: Function definition elimination
% 0.24/0.43
% 0.24/0.43 % (25151)Memory used [KB]: 1023
% 0.24/0.43 % (25151)Time elapsed: 0.006 s
% 0.24/0.43 % (25151)Instructions burned: 8 (million)
% 0.24/0.43 % (25151)------------------------------
% 0.24/0.43 % (25151)------------------------------
% 0.24/0.43 % (25154)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.24/0.43 % (25139)First to succeed.
% 0.24/0.43 % (25154)Instruction limit reached!
% 0.24/0.43 % (25154)------------------------------
% 0.24/0.43 % (25154)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.43 % (25154)Termination reason: Unknown
% 0.24/0.43 % (25154)Termination phase: shuffling
% 0.24/0.43
% 0.24/0.43 % (25154)Memory used [KB]: 1023
% 0.24/0.43 % (25154)Time elapsed: 0.003 s
% 0.24/0.43 % (25154)Instructions burned: 3 (million)
% 0.24/0.43 % (25154)------------------------------
% 0.24/0.43 % (25154)------------------------------
% 0.24/0.43 % (25153)Instruction limit reached!
% 0.24/0.43 % (25153)------------------------------
% 0.24/0.43 % (25153)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.43 % (25153)Termination reason: Unknown
% 0.24/0.43 % (25153)Termination phase: shuffling
% 0.24/0.43
% 0.24/0.43 % (25153)Memory used [KB]: 1023
% 0.24/0.43 % (25153)Time elapsed: 0.004 s
% 0.24/0.43 % (25153)Instructions burned: 4 (million)
% 0.24/0.43 % (25153)------------------------------
% 0.24/0.43 % (25153)------------------------------
% 0.24/0.43 % (25139)Refutation found. Thanks to Tanya!
% 0.24/0.43 % SZS status Theorem for theBenchmark
% 0.24/0.43 % SZS output start Proof for theBenchmark
% 0.24/0.43 thf(type_def_5, type, mworld: $tType).
% 0.24/0.43 thf(func_def_0, type, mworld: $tType).
% 0.24/0.43 thf(func_def_1, type, mrel: mworld > mworld > $o).
% 0.24/0.43 thf(func_def_2, type, mactual: mworld).
% 0.24/0.43 thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 0.24/0.43 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 0.24/0.43 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.24/0.43 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.24/0.43 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.24/0.43 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.24/0.43 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 0.24/0.43 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 0.24/0.43 thf(func_def_12, type, eiw_di: $i > mworld > $o).
% 0.24/0.43 thf(func_def_13, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 0.24/0.43 thf(func_def_14, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 0.24/0.43 thf(func_def_16, type, qmltpeq: $i > $i > mworld > $o).
% 0.24/0.43 thf(func_def_17, type, in: $i > $i > mworld > $o).
% 0.24/0.43 thf(func_def_18, type, empty: $i > mworld > $o).
% 0.24/0.43 thf(func_def_19, type, singleton: $i > $i).
% 0.24/0.43 thf(func_def_20, type, set_difference: $i > $i > $i).
% 0.24/0.43 thf(func_def_34, type, sK0: mworld > $i).
% 0.24/0.43 thf(f524,plain,(
% 0.24/0.43 $false),
% 0.24/0.43 inference(avatar_sat_refutation,[],[f440,f455,f464,f520])).
% 0.24/0.43 thf(f520,plain,(
% 0.24/0.43 spl1_12 | spl1_13 | ~spl1_14),
% 0.24/0.43 inference(avatar_contradiction_clause,[],[f519])).
% 0.24/0.43 thf(f519,plain,(
% 0.24/0.43 $false | (spl1_12 | spl1_13 | ~spl1_14)),
% 0.24/0.43 inference(trivial_inequality_removal,[],[f512])).
% 0.24/0.43 thf(f512,plain,(
% 0.24/0.43 ($true = $false) | (spl1_12 | spl1_13 | ~spl1_14)),
% 0.24/0.43 inference(superposition,[],[f503,f430])).
% 0.24/0.43 thf(f430,plain,(
% 0.24/0.43 ((in @ sK4 @ sK5 @ mactual) = $false) | ~spl1_14),
% 0.24/0.43 inference(avatar_component_clause,[],[f428])).
% 0.24/0.43 thf(f428,plain,(
% 0.24/0.43 spl1_14 <=> ((in @ sK4 @ sK5 @ mactual) = $false)),
% 0.24/0.43 introduced(avatar_definition,[new_symbols(naming,[spl1_14])])).
% 0.24/0.43 thf(f503,plain,(
% 0.24/0.43 ($true = (in @ sK4 @ sK5 @ mactual)) | (spl1_12 | spl1_13)),
% 0.24/0.43 inference(subsumption_resolution,[],[f502,f425])).
% 0.24/0.43 thf(f425,plain,(
% 0.24/0.43 ((eiw_di @ sK4 @ mactual) != $false) | spl1_13),
% 0.24/0.43 inference(avatar_component_clause,[],[f424])).
% 0.24/0.43 thf(f424,plain,(
% 0.24/0.43 spl1_13 <=> ((eiw_di @ sK4 @ mactual) = $false)),
% 0.24/0.43 introduced(avatar_definition,[new_symbols(naming,[spl1_13])])).
% 0.24/0.43 thf(f502,plain,(
% 0.24/0.43 ((eiw_di @ sK4 @ mactual) = $false) | ($true = (in @ sK4 @ sK5 @ mactual)) | spl1_12),
% 0.24/0.43 inference(subsumption_resolution,[],[f500,f421])).
% 0.24/0.43 thf(f421,plain,(
% 0.24/0.43 ((eiw_di @ sK5 @ mactual) != $false) | spl1_12),
% 0.24/0.43 inference(avatar_component_clause,[],[f420])).
% 0.24/0.43 thf(f420,plain,(
% 0.24/0.43 spl1_12 <=> ((eiw_di @ sK5 @ mactual) = $false)),
% 0.24/0.43 introduced(avatar_definition,[new_symbols(naming,[spl1_12])])).
% 0.24/0.43 thf(f500,plain,(
% 0.24/0.43 ((eiw_di @ sK5 @ mactual) = $false) | ((eiw_di @ sK4 @ mactual) = $false) | ($true = (in @ sK4 @ sK5 @ mactual))),
% 0.24/0.43 inference(trivial_inequality_removal,[],[f493])).
% 0.24/0.43 thf(f493,plain,(
% 0.24/0.43 ((eiw_di @ sK5 @ mactual) = $false) | ($true = (in @ sK4 @ sK5 @ mactual)) | ((eiw_di @ sK4 @ mactual) = $false) | ($true = $false)),
% 0.24/0.43 inference(superposition,[],[f279,f194])).
% 0.24/0.43 thf(f194,plain,(
% 0.24/0.43 ( ! [X2 : $i,X1 : $i] : (($true = (qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ (singleton @ X1) @ mactual)) | ($true = (in @ X1 @ X2 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) )),
% 0.24/0.43 inference(not_proxy_clausification,[],[f193])).
% 0.24/0.43 thf(f193,plain,(
% 0.24/0.43 ( ! [X2 : $i,X1 : $i] : (((~ (in @ X1 @ X2 @ mactual)) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ($true = (qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ (singleton @ X1) @ mactual)) | ((eiw_di @ X1 @ mactual) = $false)) )),
% 0.24/0.43 inference(binary_proxy_clausification,[],[f191])).
% 0.24/0.43 thf(f191,plain,(
% 0.24/0.43 ( ! [X2 : $i,X1 : $i] : (((~ (in @ X1 @ X2 @ mactual)) = (qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ (singleton @ X1) @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) )),
% 0.24/0.43 inference(binary_proxy_clausification,[],[f190])).
% 0.24/0.43 thf(f190,plain,(
% 0.24/0.43 ( ! [X2 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | (((qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ (singleton @ X1) @ mactual) = (~ (in @ X1 @ X2 @ mactual))) = $true) | ((eiw_di @ X2 @ mactual) = $false)) )),
% 0.24/0.43 inference(binary_proxy_clausification,[],[f189])).
% 0.24/0.43 thf(f189,plain,(
% 0.24/0.43 ( ! [X2 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | (((eiw_di @ X2 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ (singleton @ X1) @ mactual) = (~ (in @ X1 @ X2 @ mactual)))) = $true)) )),
% 0.24/0.43 inference(beta_eta_normalization,[],[f188])).
% 0.24/0.43 thf(f188,plain,(
% 0.24/0.43 ( ! [X2 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ X1) @ Y0) @ (singleton @ X1) @ mactual) = (~ (in @ X1 @ Y0 @ mactual))))) @ X2) = $true)) )),
% 0.24/0.43 inference(pi_clausification,[],[f187])).
% 0.24/0.43 thf(f187,plain,(
% 0.24/0.43 ( ! [X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ X1) @ Y0) @ (singleton @ X1) @ mactual) = (~ (in @ X1 @ Y0 @ mactual)))))))) )),
% 0.24/0.43 inference(binary_proxy_clausification,[],[f186])).
% 0.24/0.43 thf(f186,plain,(
% 0.24/0.43 ( ! [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)) )),
% 0.24/0.43 inference(beta_eta_normalization,[],[f185])).
% 0.24/0.43 thf(f185,plain,(
% 0.24/0.43 ( ! [X1 : $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)))))))) @ X1) = $true)) )),
% 0.24/0.43 inference(pi_clausification,[],[f184])).
% 0.24/0.43 thf(f184,plain,(
% 0.24/0.43 ((!! @ $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)),
% 0.24/0.43 inference(beta_eta_normalization,[],[f136])).
% 0.24/0.43 thf(f136,plain,(
% 0.24/0.43 (((^[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)),
% 0.24/0.43 inference(definition_unfolding,[],[f119,f108,f118,f118,f121,f117])).
% 0.24/0.43 thf(f117,plain,(
% 0.24/0.43 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 0.24/0.43 inference(cnf_transformation,[],[f45])).
% 0.24/0.43 thf(f45,plain,(
% 0.24/0.43 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 0.24/0.43 inference(fool_elimination,[],[f44])).
% 0.24/0.43 thf(f44,plain,(
% 0.24/0.43 ((^[X0 : mworld > $o, X1 : mworld] : (~(X0 @ X1))) = mnot)),
% 0.24/0.43 inference(rectify,[],[f2])).
% 0.24/0.43 thf(f2,axiom,(
% 0.24/0.43 ((^[X1 : mworld > $o, X2 : mworld] : (~(X1 @ X2))) = mnot)),
% 0.24/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot_def)).
% 0.24/0.43 thf(f121,plain,(
% 0.24/0.43 (mequiv = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) = (Y1 @ Y2))))))))),
% 0.24/0.43 inference(cnf_transformation,[],[f69])).
% 0.24/0.43 thf(f69,plain,(
% 0.24/0.43 (mequiv = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) = (Y1 @ Y2))))))))),
% 0.24/0.43 inference(fool_elimination,[],[f68])).
% 0.24/0.43 thf(f68,plain,(
% 0.24/0.43 (mequiv = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) <=> (X1 @ X2))))),
% 0.24/0.43 inference(rectify,[],[f6])).
% 0.24/0.43 thf(f6,axiom,(
% 0.24/0.43 (mequiv = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) <=> (X3 @ X2))))),
% 0.24/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mequiv_def)).
% 0.24/0.43 thf(f118,plain,(
% 0.24/0.43 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 0.24/0.43 inference(cnf_transformation,[],[f43])).
% 0.24/0.43 thf(f43,plain,(
% 0.24/0.43 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 0.24/0.43 inference(fool_elimination,[],[f42])).
% 0.24/0.43 thf(f42,plain,(
% 0.24/0.43 ((^[X0 : $i > mworld > $o, X1 : mworld] : (! [X2] : ((eiw_di @ X2 @ X1) => (X0 @ X2 @ X1)))) = mforall_di)),
% 0.24/0.43 inference(rectify,[],[f12])).
% 0.24/0.43 thf(f12,axiom,(
% 0.24/0.43 ((^[X1 : $i > mworld > $o, X2 : mworld] : (! [X6] : ((eiw_di @ X6 @ X2) => (X1 @ X6 @ X2)))) = mforall_di)),
% 0.24/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_di_def)).
% 0.24/0.43 thf(f108,plain,(
% 0.24/0.43 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.24/0.43 inference(cnf_transformation,[],[f80])).
% 0.24/0.43 thf(f80,plain,(
% 0.24/0.43 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.24/0.43 inference(fool_elimination,[],[f1])).
% 0.24/0.43 thf(f1,axiom,(
% 0.24/0.43 (mlocal = (^[X0 : mworld > $o] : (X0 @ mactual)))),
% 0.24/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_def)).
% 0.24/0.43 thf(f119,plain,(
% 0.24/0.43 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0)) @ (mnot @ (in @ Y0 @ Y1)))))))) = $true)),
% 0.24/0.43 inference(cnf_transformation,[],[f71])).
% 0.24/0.43 thf(f71,plain,(
% 0.24/0.43 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0)) @ (mnot @ (in @ Y0 @ Y1)))))))) = $true)),
% 0.24/0.43 inference(fool_elimination,[],[f70])).
% 0.24/0.43 thf(f70,plain,(
% 0.24/0.43 (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mequiv @ (qmltpeq @ (set_difference @ (singleton @ X0) @ X1) @ (singleton @ X0)) @ (mnot @ (in @ X0 @ X1))))))))),
% 0.24/0.43 inference(rectify,[],[f25])).
% 0.24/0.43 thf(f25,axiom,(
% 0.24/0.43 (mlocal @ (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (mequiv @ (qmltpeq @ (set_difference @ (singleton @ X1) @ X3) @ (singleton @ X1)) @ (mnot @ (in @ X1 @ X3))))))))),
% 0.24/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l34_zfmisc_1)).
% 0.24/0.43 thf(f279,plain,(
% 0.24/0.43 ((qmltpeq @ (set_difference @ (singleton @ sK4) @ sK5) @ (singleton @ sK4) @ mactual) = $false)),
% 0.24/0.43 inference(binary_proxy_clausification,[],[f276])).
% 0.24/0.43 thf(f276,plain,(
% 0.24/0.43 (((qmltpeq @ (set_difference @ (singleton @ sK4) @ sK5) @ (singleton @ sK4) @ mactual) | (qmltpeq @ (set_difference @ (singleton @ sK4) @ sK5) @ empty_set @ mactual)) = $false)),
% 0.24/0.43 inference(binary_proxy_clausification,[],[f275])).
% 0.24/0.43 thf(f275,plain,(
% 0.24/0.43 (((eiw_di @ sK5 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ sK4) @ sK5) @ (singleton @ sK4) @ mactual) | (qmltpeq @ (set_difference @ (singleton @ sK4) @ sK5) @ empty_set @ mactual))) = $false)),
% 0.24/0.43 inference(beta_eta_normalization,[],[f274])).
% 0.24/0.43 thf(f274,plain,(
% 0.24/0.43 ($false = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ sK4) @ Y0) @ (singleton @ sK4) @ mactual) | (qmltpeq @ (set_difference @ (singleton @ sK4) @ Y0) @ empty_set @ mactual)))) @ sK5))),
% 0.24/0.43 inference(sigma_clausification,[],[f272])).
% 0.24/0.43 thf(f272,plain,(
% 0.24/0.43 ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ sK4) @ Y0) @ (singleton @ sK4) @ mactual) | (qmltpeq @ (set_difference @ (singleton @ sK4) @ Y0) @ empty_set @ mactual))))) = $false)),
% 0.24/0.43 inference(binary_proxy_clausification,[],[f271])).
% 0.24/0.43 thf(f271,plain,(
% 0.24/0.43 (((eiw_di @ sK4 @ mactual) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ sK4) @ Y0) @ (singleton @ sK4) @ mactual) | (qmltpeq @ (set_difference @ (singleton @ sK4) @ Y0) @ empty_set @ mactual)))))) = $false)),
% 0.24/0.43 inference(beta_eta_normalization,[],[f270])).
% 0.24/0.43 thf(f270,plain,(
% 0.24/0.43 (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0) @ mactual) | (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set @ mactual))))))) @ sK4) = $false)),
% 0.24/0.43 inference(sigma_clausification,[],[f269])).
% 0.24/0.43 thf(f269,plain,(
% 0.24/0.43 ($true != (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0) @ mactual) | (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set @ mactual)))))))))),
% 0.24/0.43 inference(beta_eta_normalization,[],[f134])).
% 0.24/0.43 thf(f134,plain,(
% 0.24/0.43 (((^[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]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set) @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0)))))))) != $true)),
% 0.24/0.43 inference(definition_unfolding,[],[f115,f108,f118,f118,f110])).
% 0.24/0.43 thf(f110,plain,(
% 0.24/0.43 (mor = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.24/0.43 inference(cnf_transformation,[],[f55])).
% 0.24/0.43 thf(f55,plain,(
% 0.24/0.43 (mor = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.24/0.43 inference(fool_elimination,[],[f54])).
% 0.24/0.43 thf(f54,plain,(
% 0.24/0.43 (mor = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) | (X1 @ X2))))),
% 0.24/0.43 inference(rectify,[],[f4])).
% 0.24/0.43 thf(f4,axiom,(
% 0.24/0.43 (mor = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) | (X3 @ X2))))),
% 0.24/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor_def)).
% 0.24/0.43 thf(f115,plain,(
% 0.24/0.43 ((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)),
% 0.24/0.43 inference(cnf_transformation,[],[f89])).
% 0.24/0.43 thf(f89,plain,(
% 0.24/0.43 ((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)),
% 0.24/0.43 inference(flattening,[],[f37])).
% 0.24/0.43 thf(f37,plain,(
% 0.24/0.43 ~((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)),
% 0.24/0.43 inference(fool_elimination,[],[f36])).
% 0.24/0.43 thf(f36,plain,(
% 0.24/0.43 ~(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))))))))),
% 0.24/0.43 inference(rectify,[],[f30])).
% 0.24/0.43 thf(f30,negated_conjecture,(
% 0.24/0.43 ~(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))))))))),
% 0.24/0.43 inference(negated_conjecture,[],[f29])).
% 0.24/0.43 thf(f29,conjecture,(
% 0.24/0.43 (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))))))))),
% 0.24/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_zfmisc_1)).
% 0.24/0.43 thf(f464,plain,(
% 0.24/0.43 ~spl1_13),
% 0.24/0.43 inference(avatar_contradiction_clause,[],[f463])).
% 0.24/0.43 thf(f463,plain,(
% 0.24/0.43 $false | ~spl1_13),
% 0.24/0.43 inference(trivial_inequality_removal,[],[f460])).
% 0.24/0.43 thf(f460,plain,(
% 0.24/0.43 ($true = $false) | ~spl1_13),
% 0.24/0.43 inference(superposition,[],[f273,f426])).
% 0.24/0.43 thf(f426,plain,(
% 0.24/0.43 ((eiw_di @ sK4 @ mactual) = $false) | ~spl1_13),
% 0.24/0.43 inference(avatar_component_clause,[],[f424])).
% 0.24/0.43 thf(f273,plain,(
% 0.24/0.43 ((eiw_di @ sK4 @ mactual) = $true)),
% 0.24/0.43 inference(binary_proxy_clausification,[],[f271])).
% 0.24/0.43 thf(f455,plain,(
% 0.24/0.43 ~spl1_12),
% 0.24/0.43 inference(avatar_contradiction_clause,[],[f454])).
% 0.24/0.43 thf(f454,plain,(
% 0.24/0.43 $false | ~spl1_12),
% 0.24/0.43 inference(trivial_inequality_removal,[],[f450])).
% 0.24/0.43 thf(f450,plain,(
% 0.24/0.43 ($true = $false) | ~spl1_12),
% 0.24/0.43 inference(superposition,[],[f422,f277])).
% 0.24/0.43 thf(f277,plain,(
% 0.24/0.43 ($true = (eiw_di @ sK5 @ mactual))),
% 0.24/0.43 inference(binary_proxy_clausification,[],[f275])).
% 0.24/0.43 thf(f422,plain,(
% 0.24/0.43 ((eiw_di @ sK5 @ mactual) = $false) | ~spl1_12),
% 0.24/0.43 inference(avatar_component_clause,[],[f420])).
% 0.24/0.43 thf(f440,plain,(
% 0.24/0.43 spl1_13 | spl1_12 | spl1_14),
% 0.24/0.43 inference(avatar_split_clause,[],[f416,f428,f420,f424])).
% 0.24/0.43 thf(f416,plain,(
% 0.24/0.43 ((eiw_di @ sK5 @ mactual) = $false) | ((in @ sK4 @ sK5 @ mactual) = $false) | ((eiw_di @ sK4 @ mactual) = $false)),
% 0.24/0.43 inference(trivial_inequality_removal,[],[f410])).
% 0.24/0.43 thf(f410,plain,(
% 0.24/0.43 ((eiw_di @ sK4 @ mactual) = $false) | ((eiw_di @ sK5 @ mactual) = $false) | ($true = $false) | ((in @ sK4 @ sK5 @ mactual) = $false)),
% 0.24/0.43 inference(superposition,[],[f278,f167])).
% 0.24/0.43 thf(f167,plain,(
% 0.24/0.43 ( ! [X2 : $i,X1 : $i] : (((qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ empty_set @ mactual) = $true) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ($false = (in @ X1 @ X2 @ mactual))) )),
% 0.24/0.43 inference(binary_proxy_clausification,[],[f166])).
% 0.24/0.43 thf(f166,plain,(
% 0.24/0.43 ( ! [X2 : $i,X1 : $i] : (((qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ empty_set @ mactual) = (in @ X1 @ X2 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false)) )),
% 0.24/0.43 inference(binary_proxy_clausification,[],[f165])).
% 0.24/0.43 thf(f165,plain,(
% 0.24/0.43 ( ! [X2 : $i,X1 : $i] : ((((qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ empty_set @ mactual) = (in @ X1 @ X2 @ mactual)) = $true) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) )),
% 0.24/0.43 inference(binary_proxy_clausification,[],[f164])).
% 0.24/0.43 thf(f164,plain,(
% 0.24/0.43 ( ! [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))))) )),
% 0.24/0.43 inference(beta_eta_normalization,[],[f163])).
% 0.24/0.43 thf(f163,plain,(
% 0.24/0.43 ( ! [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))) )),
% 0.24/0.43 inference(pi_clausification,[],[f162])).
% 0.24/0.43 thf(f162,plain,(
% 0.24/0.43 ( ! [X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ X1) @ Y0) @ empty_set @ mactual) = (in @ X1 @ Y0 @ mactual))))))) )),
% 0.24/0.43 inference(binary_proxy_clausification,[],[f161])).
% 0.24/0.43 thf(f161,plain,(
% 0.24/0.43 ( ! [X1 : $i] : (($true = ((eiw_di @ X1 @ mactual) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ X1) @ Y0) @ empty_set @ mactual) = (in @ X1 @ Y0 @ mactual)))))))) )),
% 0.24/0.43 inference(beta_eta_normalization,[],[f160])).
% 0.24/0.43 thf(f160,plain,(
% 0.24/0.43 ( ! [X1 : $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))))))) @ X1) = $true)) )),
% 0.24/0.43 inference(pi_clausification,[],[f159])).
% 0.24/0.43 thf(f159,plain,(
% 0.24/0.43 ($true = (!! @ $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)))))))))),
% 0.24/0.43 inference(beta_eta_normalization,[],[f127])).
% 0.24/0.43 thf(f127,plain,(
% 0.24/0.43 (((^[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))))))) = $true)),
% 0.24/0.43 inference(definition_unfolding,[],[f100,f108,f118,f118,f121])).
% 0.24/0.43 thf(f100,plain,(
% 0.24/0.43 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set) @ (in @ Y0 @ Y1))))))))),
% 0.24/0.43 inference(cnf_transformation,[],[f82])).
% 0.24/0.43 thf(f82,plain,(
% 0.24/0.43 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set) @ (in @ Y0 @ Y1))))))))),
% 0.24/0.43 inference(fool_elimination,[],[f81])).
% 0.24/0.43 thf(f81,plain,(
% 0.24/0.43 (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mequiv @ (qmltpeq @ (set_difference @ (singleton @ X0) @ X1) @ empty_set) @ (in @ X0 @ X1)))))))),
% 0.24/0.43 inference(rectify,[],[f26])).
% 0.24/0.43 thf(f26,axiom,(
% 0.24/0.43 (mlocal @ (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (mequiv @ (qmltpeq @ (set_difference @ (singleton @ X1) @ X3) @ empty_set) @ (in @ X1 @ X3)))))))),
% 0.24/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l36_zfmisc_1)).
% 0.24/0.43 thf(f278,plain,(
% 0.24/0.43 ((qmltpeq @ (set_difference @ (singleton @ sK4) @ sK5) @ empty_set @ mactual) = $false)),
% 0.24/0.43 inference(binary_proxy_clausification,[],[f276])).
% 0.24/0.43 % SZS output end Proof for theBenchmark
% 0.24/0.43 % (25139)------------------------------
% 0.24/0.43 % (25139)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.43 % (25139)Termination reason: Refutation
% 0.24/0.43
% 0.24/0.43 % (25139)Memory used [KB]: 6140
% 0.24/0.43 % (25139)Time elapsed: 0.037 s
% 0.24/0.43 % (25139)Instructions burned: 66 (million)
% 0.24/0.43 % (25139)------------------------------
% 0.24/0.43 % (25139)------------------------------
% 0.24/0.43 % (25138)Success in time 0.045 s
% 0.24/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------