TSTP Solution File: SET926^20 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET926^20 : 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 : n007.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 03:13:58 EDT 2024
% Result : Theorem 0.19s 0.38s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET926^20 : TPTP v8.2.0. Released v8.1.0.
% 0.03/0.12 % 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
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon May 20 11:05:53 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a TH0_THM_EQU_NAR problem
% 0.12/0.33 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
% 0.12/0.35 % (18349)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)
% 0.12/0.35 % (18350)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.35 % (18350)Instruction limit reached!
% 0.12/0.35 % (18350)------------------------------
% 0.12/0.35 % (18350)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (18350)Termination reason: Unknown
% 0.12/0.35 % (18350)Termination phase: shuffling
% 0.12/0.35
% 0.12/0.35 % (18350)Memory used [KB]: 1023
% 0.12/0.35 % (18350)Time elapsed: 0.002 s
% 0.12/0.35 % (18350)Instructions burned: 2 (million)
% 0.12/0.35 % (18350)------------------------------
% 0.12/0.35 % (18350)------------------------------
% 0.12/0.35 % (18352)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)
% 0.12/0.35 % (18347)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.35 % (18351)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)
% 0.12/0.35 % (18348)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)
% 0.12/0.35 % (18353)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.35 % (18351)Instruction limit reached!
% 0.12/0.35 % (18351)------------------------------
% 0.12/0.35 % (18351)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (18351)Termination reason: Unknown
% 0.12/0.35 % (18351)Termination phase: shuffling
% 0.12/0.35
% 0.12/0.35 % (18351)Memory used [KB]: 1023
% 0.12/0.35 % (18351)Time elapsed: 0.002 s
% 0.12/0.35 % (18351)Instructions burned: 2 (million)
% 0.12/0.35 % (18351)------------------------------
% 0.12/0.35 % (18351)------------------------------
% 0.12/0.35 % (18354)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)
% 0.12/0.35 % (18354)Instruction limit reached!
% 0.12/0.35 % (18354)------------------------------
% 0.12/0.35 % (18354)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (18354)Termination reason: Unknown
% 0.12/0.35 % (18354)Termination phase: shuffling
% 0.12/0.35
% 0.12/0.35 % (18354)Memory used [KB]: 1023
% 0.12/0.35 % (18354)Time elapsed: 0.003 s
% 0.12/0.35 % (18354)Instructions burned: 3 (million)
% 0.12/0.35 % (18354)------------------------------
% 0.12/0.35 % (18354)------------------------------
% 0.12/0.35 % (18348)Instruction limit reached!
% 0.12/0.35 % (18348)------------------------------
% 0.12/0.35 % (18348)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (18348)Termination reason: Unknown
% 0.12/0.35 % (18348)Termination phase: Property scanning
% 0.12/0.35
% 0.12/0.35 % (18348)Memory used [KB]: 1023
% 0.12/0.35 % (18348)Time elapsed: 0.004 s
% 0.12/0.35 % (18348)Instructions burned: 6 (million)
% 0.12/0.35 % (18348)------------------------------
% 0.12/0.35 % (18348)------------------------------
% 0.12/0.35 % (18352)Refutation not found, incomplete strategy
% 0.12/0.35 % (18352)------------------------------
% 0.12/0.35 % (18352)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (18352)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.35
% 0.12/0.35
% 0.12/0.35 % (18352)Memory used [KB]: 5500
% 0.12/0.35 % (18352)Time elapsed: 0.006 s
% 0.12/0.35 % (18352)Instructions burned: 8 (million)
% 0.12/0.35 % (18352)------------------------------
% 0.12/0.35 % (18352)------------------------------
% 0.19/0.36 % (18353)Instruction limit reached!
% 0.19/0.36 % (18353)------------------------------
% 0.19/0.36 % (18353)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.36 % (18353)Termination reason: Unknown
% 0.19/0.36 % (18353)Termination phase: Saturation
% 0.19/0.36
% 0.19/0.36 % (18353)Memory used [KB]: 5628
% 0.19/0.36 % (18353)Time elapsed: 0.009 s
% 0.19/0.36 % (18353)Instructions burned: 19 (million)
% 0.19/0.36 % (18353)------------------------------
% 0.19/0.36 % (18353)------------------------------
% 0.19/0.36 % (18349)Instruction limit reached!
% 0.19/0.36 % (18349)------------------------------
% 0.19/0.36 % (18349)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.36 % (18349)Termination reason: Unknown
% 0.19/0.36 % (18349)Termination phase: Saturation
% 0.19/0.36
% 0.19/0.36 % (18349)Memory used [KB]: 5756
% 0.19/0.36 % (18349)Time elapsed: 0.012 s
% 0.19/0.36 % (18349)Instructions burned: 27 (million)
% 0.19/0.36 % (18349)------------------------------
% 0.19/0.36 % (18349)------------------------------
% 0.19/0.36 % (18356)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)
% 0.19/0.36 % (18358)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)
% 0.19/0.36 % (18357)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)
% 0.19/0.36 % (18359)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.36 % (18357)Instruction limit reached!
% 0.19/0.36 % (18357)------------------------------
% 0.19/0.36 % (18357)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.36 % (18357)Termination reason: Unknown
% 0.19/0.36 % (18357)Termination phase: shuffling
% 0.19/0.36
% 0.19/0.36 % (18357)Memory used [KB]: 1023
% 0.19/0.36 % (18357)Time elapsed: 0.003 s
% 0.19/0.36 % (18357)Instructions burned: 3 (million)
% 0.19/0.36 % (18357)------------------------------
% 0.19/0.36 % (18357)------------------------------
% 0.19/0.37 % (18356)Instruction limit reached!
% 0.19/0.37 % (18356)------------------------------
% 0.19/0.37 % (18356)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.37 % (18356)Termination reason: Unknown
% 0.19/0.37 % (18356)Termination phase: Saturation
% 0.19/0.37
% 0.19/0.37 % (18356)Memory used [KB]: 1151
% 0.19/0.37 % (18356)Time elapsed: 0.008 s
% 0.19/0.37 % (18356)Instructions burned: 15 (million)
% 0.19/0.37 % (18356)------------------------------
% 0.19/0.37 % (18356)------------------------------
% 0.19/0.37 % (18355)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)
% 0.19/0.37 % (18359)Instruction limit reached!
% 0.19/0.37 % (18359)------------------------------
% 0.19/0.37 % (18359)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.37 % (18359)Termination reason: Unknown
% 0.19/0.37 % (18359)Termination phase: Function definition elimination
% 0.19/0.37
% 0.19/0.37 % (18359)Memory used [KB]: 1023
% 0.19/0.37 % (18359)Time elapsed: 0.005 s
% 0.19/0.37 % (18359)Instructions burned: 8 (million)
% 0.19/0.37 % (18359)------------------------------
% 0.19/0.37 % (18359)------------------------------
% 0.19/0.37 % (18360)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.37 % (18347)First to succeed.
% 0.19/0.38 % (18360)Instruction limit reached!
% 0.19/0.38 % (18360)------------------------------
% 0.19/0.38 % (18360)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.38 % (18360)Termination reason: Unknown
% 0.19/0.38 % (18360)Termination phase: Saturation
% 0.19/0.38
% 0.19/0.38 % (18360)Memory used [KB]: 5628
% 0.19/0.38 % (18360)Time elapsed: 0.009 s
% 0.19/0.38 % (18360)Instructions burned: 16 (million)
% 0.19/0.38 % (18360)------------------------------
% 0.19/0.38 % (18360)------------------------------
% 0.19/0.38 % (18362)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)
% 0.19/0.38 % (18347)Refutation found. Thanks to Tanya!
% 0.19/0.38 % SZS status Theorem for theBenchmark
% 0.19/0.38 % SZS output start Proof for theBenchmark
% 0.19/0.38 thf(type_def_5, type, mworld: $tType).
% 0.19/0.38 thf(func_def_0, type, mworld: $tType).
% 0.19/0.38 thf(func_def_1, type, mrel: mworld > mworld > $o).
% 0.19/0.38 thf(func_def_2, type, mactual: mworld).
% 0.19/0.38 thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 0.19/0.38 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 0.19/0.38 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.19/0.38 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.19/0.38 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.19/0.38 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.19/0.38 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 0.19/0.38 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 0.19/0.38 thf(func_def_12, type, eiw_di: $i > mworld > $o).
% 0.19/0.38 thf(func_def_13, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 0.19/0.38 thf(func_def_14, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 0.19/0.38 thf(func_def_16, type, qmltpeq: $i > $i > mworld > $o).
% 0.19/0.38 thf(func_def_17, type, in: $i > $i > mworld > $o).
% 0.19/0.38 thf(func_def_18, type, empty: $i > mworld > $o).
% 0.19/0.38 thf(func_def_19, type, singleton: $i > $i).
% 0.19/0.38 thf(func_def_20, type, set_difference: $i > $i > $i).
% 0.19/0.38 thf(func_def_34, type, sK0: mworld > $i).
% 0.19/0.38 thf(f425,plain,(
% 0.19/0.38 $false),
% 0.19/0.38 inference(avatar_sat_refutation,[],[f349,f380,f390,f401,f422])).
% 0.19/0.38 thf(f422,plain,(
% 0.19/0.38 ~spl1_3 | ~spl1_6),
% 0.19/0.38 inference(avatar_contradiction_clause,[],[f421])).
% 0.19/0.38 thf(f421,plain,(
% 0.19/0.38 $false | (~spl1_3 | ~spl1_6)),
% 0.19/0.38 inference(trivial_inequality_removal,[],[f413])).
% 0.19/0.38 thf(f413,plain,(
% 0.19/0.38 ($false = $true) | (~spl1_3 | ~spl1_6)),
% 0.19/0.38 inference(superposition,[],[f378,f339])).
% 0.19/0.38 thf(f339,plain,(
% 0.19/0.38 ((in @ sK3 @ sK4 @ mactual) = $false) | ~spl1_3),
% 0.19/0.38 inference(avatar_component_clause,[],[f337])).
% 0.19/0.38 thf(f337,plain,(
% 0.19/0.38 spl1_3 <=> ((in @ sK3 @ sK4 @ mactual) = $false)),
% 0.19/0.38 introduced(avatar_definition,[new_symbols(naming,[spl1_3])])).
% 0.19/0.38 thf(f378,plain,(
% 0.19/0.38 ((in @ sK3 @ sK4 @ mactual) = $true) | ~spl1_6),
% 0.19/0.38 inference(avatar_component_clause,[],[f376])).
% 0.19/0.38 thf(f376,plain,(
% 0.19/0.38 spl1_6 <=> ((in @ sK3 @ sK4 @ mactual) = $true)),
% 0.19/0.38 introduced(avatar_definition,[new_symbols(naming,[spl1_6])])).
% 0.19/0.38 thf(f401,plain,(
% 0.19/0.38 ~spl1_5),
% 0.19/0.38 inference(avatar_contradiction_clause,[],[f400])).
% 0.19/0.38 thf(f400,plain,(
% 0.19/0.38 $false | ~spl1_5),
% 0.19/0.38 inference(trivial_inequality_removal,[],[f393])).
% 0.19/0.38 thf(f393,plain,(
% 0.19/0.38 ($false = $true) | ~spl1_5),
% 0.19/0.38 inference(superposition,[],[f347,f259])).
% 0.19/0.38 thf(f259,plain,(
% 0.19/0.38 ((eiw_di @ sK4 @ mactual) = $true)),
% 0.19/0.38 inference(binary_proxy_clausification,[],[f257])).
% 0.19/0.38 thf(f257,plain,(
% 0.19/0.38 (((eiw_di @ sK4 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ sK3) @ sK4) @ (singleton @ sK3) @ mactual) | (qmltpeq @ (set_difference @ (singleton @ sK3) @ sK4) @ empty_set @ mactual))) = $false)),
% 0.19/0.38 inference(beta_eta_normalization,[],[f256])).
% 0.19/0.38 thf(f256,plain,(
% 0.19/0.38 ($false = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ sK3) @ Y0) @ (singleton @ sK3) @ mactual) | (qmltpeq @ (set_difference @ (singleton @ sK3) @ Y0) @ empty_set @ mactual)))) @ sK4))),
% 0.19/0.38 inference(sigma_clausification,[],[f254])).
% 0.19/0.38 thf(f254,plain,(
% 0.19/0.38 ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ sK3) @ Y0) @ (singleton @ sK3) @ mactual) | (qmltpeq @ (set_difference @ (singleton @ sK3) @ Y0) @ empty_set @ mactual))))) = $false)),
% 0.19/0.38 inference(binary_proxy_clausification,[],[f253])).
% 0.19/0.38 thf(f253,plain,(
% 0.19/0.38 (((eiw_di @ sK3 @ mactual) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ sK3) @ Y0) @ (singleton @ sK3) @ mactual) | (qmltpeq @ (set_difference @ (singleton @ sK3) @ Y0) @ empty_set @ mactual)))))) = $false)),
% 0.19/0.38 inference(beta_eta_normalization,[],[f252])).
% 0.19/0.38 thf(f252,plain,(
% 0.19/0.38 ($false = ((^[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))))))) @ sK3))),
% 0.19/0.38 inference(sigma_clausification,[],[f251])).
% 0.19/0.38 thf(f251,plain,(
% 0.19/0.38 ((!! @ $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)))))))) != $true)),
% 0.19/0.38 inference(beta_eta_normalization,[],[f135])).
% 0.19/0.38 thf(f135,plain,(
% 0.19/0.38 (((^[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)),
% 0.19/0.38 inference(definition_unfolding,[],[f117,f96,f118,f118,f99])).
% 0.19/0.38 thf(f99,plain,(
% 0.19/0.38 (mor = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.19/0.38 inference(cnf_transformation,[],[f40])).
% 0.19/0.38 thf(f40,plain,(
% 0.19/0.38 (mor = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.19/0.38 inference(fool_elimination,[],[f39])).
% 0.19/0.38 thf(f39,plain,(
% 0.19/0.38 ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) | (X1 @ X2))) = mor)),
% 0.19/0.38 inference(rectify,[],[f4])).
% 0.19/0.38 thf(f4,axiom,(
% 0.19/0.38 ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) | (X3 @ X2))) = mor)),
% 0.19/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor_def)).
% 0.19/0.38 thf(f118,plain,(
% 0.19/0.38 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 0.19/0.38 inference(cnf_transformation,[],[f54])).
% 0.19/0.38 thf(f54,plain,(
% 0.19/0.38 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 0.19/0.38 inference(fool_elimination,[],[f53])).
% 0.19/0.38 thf(f53,plain,(
% 0.19/0.38 (mforall_di = (^[X0 : $i > mworld > $o, X1 : mworld] : (! [X2] : ((eiw_di @ X2 @ X1) => (X0 @ X2 @ X1)))))),
% 0.19/0.38 inference(rectify,[],[f12])).
% 0.19/0.38 thf(f12,axiom,(
% 0.19/0.38 (mforall_di = (^[X1 : $i > mworld > $o, X2 : mworld] : (! [X5] : ((eiw_di @ X5 @ X2) => (X1 @ X5 @ X2)))))),
% 0.19/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_di_def)).
% 0.19/0.38 thf(f96,plain,(
% 0.19/0.38 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.19/0.38 inference(cnf_transformation,[],[f34])).
% 0.19/0.38 thf(f34,plain,(
% 0.19/0.38 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.19/0.38 inference(fool_elimination,[],[f1])).
% 0.19/0.38 thf(f1,axiom,(
% 0.19/0.38 (mlocal = (^[X0 : mworld > $o] : (X0 @ mactual)))),
% 0.19/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_def)).
% 0.19/0.38 thf(f117,plain,(
% 0.19/0.38 ((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)),
% 0.19/0.38 inference(cnf_transformation,[],[f89])).
% 0.19/0.38 thf(f89,plain,(
% 0.19/0.38 ((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)),
% 0.19/0.38 inference(flattening,[],[f44])).
% 0.19/0.38 thf(f44,plain,(
% 0.19/0.38 ~((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)),
% 0.19/0.38 inference(fool_elimination,[],[f43])).
% 0.19/0.38 thf(f43,plain,(
% 0.19/0.38 ~(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))))))))),
% 0.19/0.38 inference(rectify,[],[f30])).
% 0.19/0.38 thf(f30,negated_conjecture,(
% 0.19/0.38 ~(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))))))))),
% 0.19/0.38 inference(negated_conjecture,[],[f29])).
% 0.19/0.38 thf(f29,conjecture,(
% 0.19/0.38 (mlocal @ (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (mor @ (qmltpeq @ (set_difference @ (singleton @ X1) @ X3) @ empty_set) @ (qmltpeq @ (set_difference @ (singleton @ X1) @ X3) @ (singleton @ X1))))))))),
% 0.19/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_zfmisc_1)).
% 0.19/0.38 thf(f347,plain,(
% 0.19/0.38 ($false = (eiw_di @ sK4 @ mactual)) | ~spl1_5),
% 0.19/0.38 inference(avatar_component_clause,[],[f345])).
% 0.19/0.38 thf(f345,plain,(
% 0.19/0.38 spl1_5 <=> ($false = (eiw_di @ sK4 @ mactual))),
% 0.19/0.38 introduced(avatar_definition,[new_symbols(naming,[spl1_5])])).
% 0.19/0.38 thf(f390,plain,(
% 0.19/0.38 ~spl1_4),
% 0.19/0.38 inference(avatar_contradiction_clause,[],[f389])).
% 0.19/0.38 thf(f389,plain,(
% 0.19/0.38 $false | ~spl1_4),
% 0.19/0.38 inference(trivial_inequality_removal,[],[f383])).
% 0.19/0.38 thf(f383,plain,(
% 0.19/0.38 ($false = $true) | ~spl1_4),
% 0.19/0.38 inference(superposition,[],[f255,f343])).
% 0.19/0.38 thf(f343,plain,(
% 0.19/0.38 ((eiw_di @ sK3 @ mactual) = $false) | ~spl1_4),
% 0.19/0.38 inference(avatar_component_clause,[],[f341])).
% 0.19/0.38 thf(f341,plain,(
% 0.19/0.38 spl1_4 <=> ((eiw_di @ sK3 @ mactual) = $false)),
% 0.19/0.38 introduced(avatar_definition,[new_symbols(naming,[spl1_4])])).
% 0.19/0.38 thf(f255,plain,(
% 0.19/0.38 ((eiw_di @ sK3 @ mactual) = $true)),
% 0.19/0.38 inference(binary_proxy_clausification,[],[f253])).
% 0.19/0.38 thf(f380,plain,(
% 0.19/0.38 spl1_6 | spl1_5 | spl1_4),
% 0.19/0.38 inference(avatar_split_clause,[],[f371,f341,f345,f376])).
% 0.19/0.38 thf(f371,plain,(
% 0.19/0.38 ($false = (eiw_di @ sK4 @ mactual)) | ((eiw_di @ sK3 @ mactual) = $false) | ((in @ sK3 @ sK4 @ mactual) = $true)),
% 0.19/0.38 inference(trivial_inequality_removal,[],[f363])).
% 0.19/0.38 thf(f363,plain,(
% 0.19/0.38 ((in @ sK3 @ sK4 @ mactual) = $true) | ($false = $true) | ($false = (eiw_di @ sK4 @ mactual)) | ((eiw_di @ sK3 @ mactual) = $false)),
% 0.19/0.38 inference(superposition,[],[f180,f261])).
% 0.19/0.38 thf(f261,plain,(
% 0.19/0.38 ((qmltpeq @ (set_difference @ (singleton @ sK3) @ sK4) @ (singleton @ sK3) @ mactual) = $false)),
% 0.19/0.38 inference(binary_proxy_clausification,[],[f258])).
% 0.19/0.38 thf(f258,plain,(
% 0.19/0.38 (((qmltpeq @ (set_difference @ (singleton @ sK3) @ sK4) @ (singleton @ sK3) @ mactual) | (qmltpeq @ (set_difference @ (singleton @ sK3) @ sK4) @ empty_set @ mactual)) = $false)),
% 0.19/0.38 inference(binary_proxy_clausification,[],[f257])).
% 0.19/0.38 thf(f180,plain,(
% 0.19/0.38 ( ! [X2 : $i,X1 : $i] : (((qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ (singleton @ X1) @ mactual) = $true) | ((in @ X1 @ X2 @ mactual) = $true) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) )),
% 0.19/0.38 inference(not_proxy_clausification,[],[f179])).
% 0.19/0.38 thf(f179,plain,(
% 0.19/0.38 ( ! [X2 : $i,X1 : $i] : (((~ (in @ X1 @ X2 @ mactual)) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ (singleton @ X1) @ mactual) = $true)) )),
% 0.19/0.38 inference(binary_proxy_clausification,[],[f177])).
% 0.19/0.38 thf(f177,plain,(
% 0.19/0.38 ( ! [X2 : $i,X1 : $i] : (((eiw_di @ X2 @ mactual) = $false) | ((~ (in @ X1 @ X2 @ mactual)) = (qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ (singleton @ X1) @ mactual)) | ((eiw_di @ X1 @ mactual) = $false)) )),
% 0.19/0.38 inference(binary_proxy_clausification,[],[f176])).
% 0.19/0.38 thf(f176,plain,(
% 0.19/0.38 ( ! [X2 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | (((~ (in @ X1 @ X2 @ mactual)) = (qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ (singleton @ X1) @ mactual)) = $true)) )),
% 0.19/0.38 inference(binary_proxy_clausification,[],[f175])).
% 0.19/0.38 thf(f175,plain,(
% 0.19/0.38 ( ! [X2 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | (((eiw_di @ X2 @ mactual) => ((~ (in @ X1 @ X2 @ mactual)) = (qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ (singleton @ X1) @ mactual))) = $true)) )),
% 0.19/0.38 inference(beta_eta_normalization,[],[f174])).
% 0.19/0.38 thf(f174,plain,(
% 0.19/0.38 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((~ (in @ X1 @ Y0 @ mactual)) = (qmltpeq @ (set_difference @ (singleton @ X1) @ Y0) @ (singleton @ X1) @ mactual)))) @ X2) = $true) | ((eiw_di @ X1 @ mactual) = $false)) )),
% 0.19/0.38 inference(pi_clausification,[],[f173])).
% 0.19/0.38 thf(f173,plain,(
% 0.19/0.38 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((~ (in @ X1 @ Y0 @ mactual)) = (qmltpeq @ (set_difference @ (singleton @ X1) @ Y0) @ (singleton @ X1) @ mactual))))) = $true) | ((eiw_di @ X1 @ mactual) = $false)) )),
% 0.19/0.38 inference(binary_proxy_clausification,[],[f172])).
% 0.19/0.38 thf(f172,plain,(
% 0.19/0.38 ( ! [X1 : $i] : ((((eiw_di @ X1 @ mactual) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((~ (in @ X1 @ Y0 @ mactual)) = (qmltpeq @ (set_difference @ (singleton @ X1) @ Y0) @ (singleton @ X1) @ mactual)))))) = $true)) )),
% 0.19/0.38 inference(beta_eta_normalization,[],[f171])).
% 0.19/0.38 thf(f171,plain,(
% 0.19/0.38 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) => ((~ (in @ Y0 @ Y1 @ mactual)) = (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0) @ mactual))))))) @ X1) = $true)) )),
% 0.19/0.38 inference(pi_clausification,[],[f170])).
% 0.19/0.38 thf(f170,plain,(
% 0.19/0.38 ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) => ((~ (in @ Y0 @ Y1 @ mactual)) = (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0) @ mactual)))))))) = $true)),
% 0.19/0.38 inference(beta_eta_normalization,[],[f138])).
% 0.19/0.38 thf(f138,plain,(
% 0.19/0.38 (((^[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) @ (singleton @ Y0)) @ ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: (~ (Y2 @ Y3))))) @ (in @ Y0 @ Y1)))))))) = $true)),
% 0.19/0.38 inference(definition_unfolding,[],[f122,f96,f118,f118,f120,f100])).
% 0.19/0.38 thf(f100,plain,(
% 0.19/0.38 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 0.19/0.38 inference(cnf_transformation,[],[f62])).
% 0.19/0.38 thf(f62,plain,(
% 0.19/0.38 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 0.19/0.38 inference(fool_elimination,[],[f61])).
% 0.19/0.38 thf(f61,plain,(
% 0.19/0.38 (mnot = (^[X0 : mworld > $o, X1 : mworld] : (~(X0 @ X1))))),
% 0.19/0.38 inference(rectify,[],[f2])).
% 0.19/0.38 thf(f2,axiom,(
% 0.19/0.38 (mnot = (^[X1 : mworld > $o, X2 : mworld] : (~(X1 @ X2))))),
% 0.19/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot_def)).
% 0.19/0.38 thf(f120,plain,(
% 0.19/0.38 (mequiv = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) = (Y0 @ Y2))))))))),
% 0.19/0.38 inference(cnf_transformation,[],[f64])).
% 0.19/0.38 thf(f64,plain,(
% 0.19/0.38 (mequiv = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) = (Y0 @ Y2))))))))),
% 0.19/0.38 inference(fool_elimination,[],[f63])).
% 0.19/0.38 thf(f63,plain,(
% 0.19/0.38 (mequiv = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X1 @ X2) <=> (X0 @ X2))))),
% 0.19/0.38 inference(rectify,[],[f6])).
% 0.19/0.38 thf(f6,axiom,(
% 0.19/0.38 (mequiv = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X3 @ X2) <=> (X1 @ X2))))),
% 0.19/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mequiv_def)).
% 0.19/0.38 thf(f122,plain,(
% 0.19/0.38 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0)) @ (mnot @ (in @ Y0 @ Y1)))))))) = $true)),
% 0.19/0.38 inference(cnf_transformation,[],[f46])).
% 0.19/0.38 thf(f46,plain,(
% 0.19/0.38 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0)) @ (mnot @ (in @ Y0 @ Y1)))))))) = $true)),
% 0.19/0.38 inference(fool_elimination,[],[f45])).
% 0.19/0.38 thf(f45,plain,(
% 0.19/0.38 (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mequiv @ (qmltpeq @ (set_difference @ (singleton @ X0) @ X1) @ (singleton @ X0)) @ (mnot @ (in @ X0 @ X1))))))))),
% 0.19/0.38 inference(rectify,[],[f25])).
% 0.19/0.38 thf(f25,axiom,(
% 0.19/0.38 (mlocal @ (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (mequiv @ (qmltpeq @ (set_difference @ (singleton @ X1) @ X3) @ (singleton @ X1)) @ (mnot @ (in @ X1 @ X3))))))))),
% 0.19/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l34_zfmisc_1)).
% 0.19/0.38 thf(f349,plain,(
% 0.19/0.38 spl1_4 | spl1_3 | spl1_5),
% 0.19/0.38 inference(avatar_split_clause,[],[f322,f345,f337,f341])).
% 0.19/0.38 thf(f322,plain,(
% 0.19/0.38 ((eiw_di @ sK3 @ mactual) = $false) | ($false = (eiw_di @ sK4 @ mactual)) | ((in @ sK3 @ sK4 @ mactual) = $false)),
% 0.19/0.38 inference(trivial_inequality_removal,[],[f314])).
% 0.19/0.38 thf(f314,plain,(
% 0.19/0.38 ($false = $true) | ((eiw_di @ sK3 @ mactual) = $false) | ((in @ sK3 @ sK4 @ mactual) = $false) | ($false = (eiw_di @ sK4 @ mactual))),
% 0.19/0.38 inference(superposition,[],[f260,f219])).
% 0.19/0.38 thf(f219,plain,(
% 0.19/0.38 ( ! [X2 : $i,X1 : $i] : (((qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ empty_set @ mactual) = $true) | ((in @ X1 @ X2 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) )),
% 0.19/0.38 inference(binary_proxy_clausification,[],[f217])).
% 0.19/0.38 thf(f217,plain,(
% 0.19/0.38 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ X2 @ mactual) = (qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ empty_set @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false)) )),
% 0.19/0.38 inference(binary_proxy_clausification,[],[f216])).
% 0.19/0.38 thf(f216,plain,(
% 0.19/0.38 ( ! [X2 : $i,X1 : $i] : (((eiw_di @ X2 @ mactual) = $false) | (((in @ X1 @ X2 @ mactual) = (qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ empty_set @ mactual)) = $true) | ((eiw_di @ X1 @ mactual) = $false)) )),
% 0.19/0.38 inference(binary_proxy_clausification,[],[f215])).
% 0.19/0.38 thf(f215,plain,(
% 0.19/0.38 ( ! [X2 : $i,X1 : $i] : ((((eiw_di @ X2 @ mactual) => ((in @ X1 @ X2 @ mactual) = (qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ empty_set @ mactual))) = $true) | ((eiw_di @ X1 @ mactual) = $false)) )),
% 0.19/0.38 inference(beta_eta_normalization,[],[f214])).
% 0.19/0.38 thf(f214,plain,(
% 0.19/0.38 ( ! [X2 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((in @ X1 @ Y0 @ mactual) = (qmltpeq @ (set_difference @ (singleton @ X1) @ Y0) @ empty_set @ mactual)))) @ X2) = $true)) )),
% 0.19/0.38 inference(pi_clausification,[],[f213])).
% 0.19/0.38 thf(f213,plain,(
% 0.19/0.38 ( ! [X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((in @ X1 @ Y0 @ mactual) = (qmltpeq @ (set_difference @ (singleton @ X1) @ Y0) @ empty_set @ mactual))))) = $true)) )),
% 0.19/0.38 inference(binary_proxy_clausification,[],[f212])).
% 0.19/0.38 thf(f212,plain,(
% 0.19/0.38 ( ! [X1 : $i] : ((((eiw_di @ X1 @ mactual) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((in @ X1 @ Y0 @ mactual) = (qmltpeq @ (set_difference @ (singleton @ X1) @ Y0) @ empty_set @ mactual)))))) = $true)) )),
% 0.19/0.38 inference(beta_eta_normalization,[],[f211])).
% 0.19/0.38 thf(f211,plain,(
% 0.19/0.38 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) => ((in @ Y0 @ Y1 @ mactual) = (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set @ mactual))))))) @ X1) = $true)) )),
% 0.19/0.38 inference(pi_clausification,[],[f210])).
% 0.19/0.38 thf(f210,plain,(
% 0.19/0.38 ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) => ((in @ Y0 @ Y1 @ mactual) = (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set @ mactual)))))))) = $true)),
% 0.19/0.38 inference(beta_eta_normalization,[],[f130])).
% 0.19/0.38 thf(f130,plain,(
% 0.19/0.38 (((^[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) @ (in @ Y0 @ Y1))))))) = $true)),
% 0.19/0.38 inference(definition_unfolding,[],[f112,f96,f118,f118,f120])).
% 0.19/0.38 thf(f112,plain,(
% 0.19/0.38 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set) @ (in @ Y0 @ Y1))))))) = $true)),
% 0.19/0.38 inference(cnf_transformation,[],[f72])).
% 0.19/0.38 thf(f72,plain,(
% 0.19/0.38 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set) @ (in @ Y0 @ Y1))))))) = $true)),
% 0.19/0.38 inference(fool_elimination,[],[f71])).
% 0.19/0.38 thf(f71,plain,(
% 0.19/0.38 (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mequiv @ (qmltpeq @ (set_difference @ (singleton @ X0) @ X1) @ empty_set) @ (in @ X0 @ X1)))))))),
% 0.19/0.38 inference(rectify,[],[f26])).
% 0.19/0.38 thf(f26,axiom,(
% 0.19/0.38 (mlocal @ (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (mequiv @ (qmltpeq @ (set_difference @ (singleton @ X1) @ X3) @ empty_set) @ (in @ X1 @ X3)))))))),
% 0.19/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l36_zfmisc_1)).
% 0.19/0.38 thf(f260,plain,(
% 0.19/0.38 ((qmltpeq @ (set_difference @ (singleton @ sK3) @ sK4) @ empty_set @ mactual) = $false)),
% 0.19/0.38 inference(binary_proxy_clausification,[],[f258])).
% 0.19/0.38 % SZS output end Proof for theBenchmark
% 0.19/0.38 % (18347)------------------------------
% 0.19/0.38 % (18347)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.38 % (18347)Termination reason: Refutation
% 0.19/0.38
% 0.19/0.38 % (18347)Memory used [KB]: 6012
% 0.19/0.38 % (18347)Time elapsed: 0.031 s
% 0.19/0.38 % (18347)Instructions burned: 52 (million)
% 0.19/0.38 % (18347)------------------------------
% 0.19/0.38 % (18347)------------------------------
% 0.19/0.38 % (18346)Success in time 0.049 s
% 0.19/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------