TSTP Solution File: SYO889^16 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO889^16 : 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 : n015.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 09:09:32 EDT 2024
% Result : Theorem 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYO889^16 : TPTP v8.2.0. Released v8.1.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 20 08:39:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.38 % (3405)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)
% 0.21/0.38 % (3401)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.21/0.38 % (3405)Instruction limit reached!
% 0.21/0.38 % (3405)------------------------------
% 0.21/0.38 % (3405)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (3405)Termination reason: Unknown
% 0.21/0.38 % (3405)Termination phase: Property scanning
% 0.21/0.38
% 0.21/0.38 % (3405)Memory used [KB]: 1023
% 0.21/0.38 % (3405)Time elapsed: 0.003 s
% 0.21/0.38 % (3405)Instructions burned: 2 (million)
% 0.21/0.38 % (3405)------------------------------
% 0.21/0.38 % (3405)------------------------------
% 0.21/0.39 % (3402)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)
% 0.21/0.39 % (3408)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)
% 0.21/0.39 % (3403)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)
% 0.21/0.39 % (3404)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.39 % (3406)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)
% 0.21/0.39 % (3407)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.39 % (3402)Instruction limit reached!
% 0.21/0.39 % (3402)------------------------------
% 0.21/0.39 % (3402)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (3402)Termination reason: Unknown
% 0.21/0.39 % (3402)Termination phase: Property scanning
% 0.21/0.39
% 0.21/0.39 % (3402)Memory used [KB]: 1023
% 0.21/0.39 % (3402)Time elapsed: 0.004 s
% 0.21/0.39 % (3402)Instructions burned: 4 (million)
% 0.21/0.39 % (3404)Instruction limit reached!
% 0.21/0.39 % (3404)------------------------------
% 0.21/0.39 % (3404)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (3404)Termination reason: Unknown
% 0.21/0.39 % (3404)Termination phase: shuffling
% 0.21/0.39
% 0.21/0.39 % (3404)Memory used [KB]: 1023
% 0.21/0.39 % (3404)Time elapsed: 0.003 s
% 0.21/0.39 % (3404)Instructions burned: 2 (million)
% 0.21/0.39 % (3404)------------------------------
% 0.21/0.39 % (3404)------------------------------
% 0.21/0.39 % (3402)------------------------------
% 0.21/0.39 % (3402)------------------------------
% 0.21/0.39 % (3408)Instruction limit reached!
% 0.21/0.39 % (3408)------------------------------
% 0.21/0.39 % (3408)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (3408)Termination reason: Unknown
% 0.21/0.39 % (3408)Termination phase: Function definition elimination
% 0.21/0.39
% 0.21/0.39 % (3408)Memory used [KB]: 1023
% 0.21/0.39 % (3408)Time elapsed: 0.005 s
% 0.21/0.39 % (3408)Instructions burned: 4 (million)
% 0.21/0.39 % (3408)------------------------------
% 0.21/0.39 % (3408)------------------------------
% 0.21/0.39 % (3406)Refutation not found, incomplete strategy
% 0.21/0.39 % (3406)------------------------------
% 0.21/0.39 % (3406)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (3406)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.39
% 0.21/0.39
% 0.21/0.39 % (3406)Memory used [KB]: 5500
% 0.21/0.39 % (3406)Time elapsed: 0.007 s
% 0.21/0.39 % (3406)Instructions burned: 6 (million)
% 0.21/0.39 % (3406)------------------------------
% 0.21/0.39 % (3406)------------------------------
% 0.21/0.40 % (3409)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)
% 0.21/0.40 % (3407)Instruction limit reached!
% 0.21/0.40 % (3407)------------------------------
% 0.21/0.40 % (3407)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (3407)Termination reason: Unknown
% 0.21/0.40 % (3407)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (3407)Memory used [KB]: 5628
% 0.21/0.40 % (3407)Time elapsed: 0.014 s
% 0.21/0.40 % (3407)Instructions burned: 18 (million)
% 0.21/0.40 % (3407)------------------------------
% 0.21/0.40 % (3407)------------------------------
% 0.21/0.41 % (3411)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)
% 0.21/0.41 % (3412)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)
% 0.21/0.41 % (3403)Instruction limit reached!
% 0.21/0.41 % (3403)------------------------------
% 0.21/0.41 % (3403)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (3403)Termination reason: Unknown
% 0.21/0.41 % (3403)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (3403)Memory used [KB]: 5628
% 0.21/0.41 % (3403)Time elapsed: 0.019 s
% 0.21/0.41 % (3403)Instructions burned: 28 (million)
% 0.21/0.41 % (3403)------------------------------
% 0.21/0.41 % (3403)------------------------------
% 0.21/0.41 % (3411)Instruction limit reached!
% 0.21/0.41 % (3411)------------------------------
% 0.21/0.41 % (3411)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (3411)Termination reason: Unknown
% 0.21/0.41 % (3411)Termination phase: Property scanning
% 0.21/0.41
% 0.21/0.41 % (3411)Memory used [KB]: 1023
% 0.21/0.41 % (3411)Time elapsed: 0.003 s
% 0.21/0.41 % (3411)Instructions burned: 3 (million)
% 0.21/0.41 % (3411)------------------------------
% 0.21/0.41 % (3411)------------------------------
% 0.21/0.41 % (3410)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)
% 0.21/0.41 % (3413)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.41 % (3413)Instruction limit reached!
% 0.21/0.41 % (3413)------------------------------
% 0.21/0.41 % (3413)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (3413)Termination reason: Unknown
% 0.21/0.41 % (3413)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (3413)Memory used [KB]: 1023
% 0.21/0.41 % (3413)Time elapsed: 0.005 s
% 0.21/0.41 % (3413)Instructions burned: 8 (million)
% 0.21/0.41 % (3413)------------------------------
% 0.21/0.41 % (3413)------------------------------
% 0.21/0.42 % (3410)Instruction limit reached!
% 0.21/0.42 % (3410)------------------------------
% 0.21/0.42 % (3410)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (3410)Termination reason: Unknown
% 0.21/0.42 % (3410)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (3410)Memory used [KB]: 5628
% 0.21/0.42 % (3410)Time elapsed: 0.010 s
% 0.21/0.42 % (3410)Instructions burned: 15 (million)
% 0.21/0.42 % (3410)------------------------------
% 0.21/0.42 % (3410)------------------------------
% 0.21/0.42 % (3401)First to succeed.
% 0.21/0.42 % (3409)Instruction limit reached!
% 0.21/0.42 % (3409)------------------------------
% 0.21/0.42 % (3409)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (3409)Termination reason: Unknown
% 0.21/0.42 % (3409)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (3409)Memory used [KB]: 5756
% 0.21/0.42 % (3409)Time elapsed: 0.022 s
% 0.21/0.42 % (3409)Instructions burned: 38 (million)
% 0.21/0.42 % (3409)------------------------------
% 0.21/0.42 % (3409)------------------------------
% 0.21/0.42 % (3414)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.42 % (3416)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)
% 0.21/0.42 % (3401)Refutation found. Thanks to Tanya!
% 0.21/0.42 % SZS status Theorem for theBenchmark
% 0.21/0.42 % SZS output start Proof for theBenchmark
% 0.21/0.42 thf(type_def_5, type, mworld: $tType).
% 0.21/0.42 thf(func_def_0, type, mworld: $tType).
% 0.21/0.42 thf(func_def_1, type, mrel: mworld > mworld > $o).
% 0.21/0.42 thf(func_def_2, type, mactual: mworld).
% 0.21/0.42 thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 0.21/0.42 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 0.21/0.42 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.21/0.42 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.21/0.42 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.21/0.42 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.21/0.42 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 0.21/0.42 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 0.21/0.42 thf(func_def_12, type, eiw_di: $i > mworld > $o).
% 0.21/0.42 thf(func_def_13, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 0.21/0.42 thf(func_def_14, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 0.21/0.42 thf(func_def_15, type, a: $i > mworld > $o).
% 0.21/0.42 thf(func_def_16, type, b: $i > mworld > $o).
% 0.21/0.42 thf(func_def_30, type, sK0: mworld > $i).
% 0.21/0.42 thf(func_def_33, type, sK2: mworld).
% 0.21/0.42 thf(func_def_35, type, sK4: mworld > $i > mworld).
% 0.21/0.42 thf(f375,plain,(
% 0.21/0.42 $false),
% 0.21/0.42 inference(avatar_sat_refutation,[],[f312,f326,f336,f354,f374])).
% 0.21/0.42 thf(f374,plain,(
% 0.21/0.42 spl1_8 | spl1_9 | ~spl1_10),
% 0.21/0.42 inference(avatar_contradiction_clause,[],[f373])).
% 0.21/0.42 thf(f373,plain,(
% 0.21/0.42 $false | (spl1_8 | spl1_9 | ~spl1_10)),
% 0.21/0.42 inference(subsumption_resolution,[],[f372,f319])).
% 0.21/0.42 thf(f319,plain,(
% 0.21/0.42 ($false != (eiw_di @ sK3 @ sK2)) | spl1_9),
% 0.21/0.42 inference(avatar_component_clause,[],[f318])).
% 0.21/0.42 thf(f318,plain,(
% 0.21/0.42 spl1_9 <=> ($false = (eiw_di @ sK3 @ sK2))),
% 0.21/0.42 introduced(avatar_definition,[new_symbols(naming,[spl1_9])])).
% 0.21/0.42 thf(f372,plain,(
% 0.21/0.42 ($false = (eiw_di @ sK3 @ sK2)) | (spl1_8 | ~spl1_10)),
% 0.21/0.42 inference(subsumption_resolution,[],[f367,f309])).
% 0.21/0.42 thf(f309,plain,(
% 0.21/0.42 ($false != (mrel @ mactual @ sK2)) | spl1_8),
% 0.21/0.42 inference(avatar_component_clause,[],[f308])).
% 0.21/0.42 thf(f308,plain,(
% 0.21/0.42 spl1_8 <=> ($false = (mrel @ mactual @ sK2))),
% 0.21/0.42 introduced(avatar_definition,[new_symbols(naming,[spl1_8])])).
% 0.21/0.42 thf(f367,plain,(
% 0.21/0.42 ($false = (mrel @ mactual @ sK2)) | ($false = (eiw_di @ sK3 @ sK2)) | ~spl1_10),
% 0.21/0.42 inference(trivial_inequality_removal,[],[f363])).
% 0.21/0.42 thf(f363,plain,(
% 0.21/0.42 ($false = (mrel @ mactual @ sK2)) | ($true = $false) | ($false = (eiw_di @ sK3 @ sK2)) | ~spl1_10),
% 0.21/0.42 inference(superposition,[],[f95,f324])).
% 0.21/0.42 thf(f324,plain,(
% 0.21/0.42 ($false = (mrel @ sK2 @ (sK4 @ sK2 @ sK3))) | ~spl1_10),
% 0.21/0.42 inference(avatar_component_clause,[],[f322])).
% 0.21/0.42 thf(f322,plain,(
% 0.21/0.42 spl1_10 <=> ($false = (mrel @ sK2 @ (sK4 @ sK2 @ sK3)))),
% 0.21/0.42 introduced(avatar_definition,[new_symbols(naming,[spl1_10])])).
% 0.21/0.42 thf(f95,plain,(
% 0.21/0.42 ( ! [X2 : $i,X1 : mworld] : (($true = (mrel @ X1 @ (sK4 @ X1 @ X2))) | ($false = (mrel @ mactual @ X1)) | ((eiw_di @ X2 @ X1) = $false)) )),
% 0.21/0.42 inference(binary_proxy_clausification,[],[f93])).
% 0.21/0.42 thf(f93,plain,(
% 0.21/0.42 ( ! [X2 : $i,X1 : mworld] : (((eiw_di @ X2 @ X1) = $false) | ($false = (mrel @ mactual @ X1)) | ($true = ((mrel @ X1 @ (sK4 @ X1 @ X2)) & (b @ X2 @ (sK4 @ X1 @ X2))))) )),
% 0.21/0.42 inference(beta_eta_normalization,[],[f92])).
% 0.21/0.42 thf(f92,plain,(
% 0.21/0.42 ( ! [X2 : $i,X1 : mworld] : (($false = (mrel @ mactual @ X1)) | ((eiw_di @ X2 @ X1) = $false) | ($true = ((^[Y0 : mworld]: ((mrel @ X1 @ Y0) & (b @ X2 @ Y0))) @ (sK4 @ X1 @ X2)))) )),
% 0.21/0.42 inference(sigma_clausification,[],[f91])).
% 0.21/0.42 thf(f91,plain,(
% 0.21/0.42 ( ! [X2 : $i,X1 : mworld] : (((eiw_di @ X2 @ X1) = $false) | ($false = (mrel @ mactual @ X1)) | ($true = (?? @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) & (b @ X2 @ Y0)))))) )),
% 0.21/0.42 inference(binary_proxy_clausification,[],[f90])).
% 0.21/0.42 thf(f90,plain,(
% 0.21/0.42 ( ! [X2 : $i,X1 : mworld] : (($true = ((eiw_di @ X2 @ X1) => (?? @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) & (b @ X2 @ Y0)))))) | ($false = (mrel @ mactual @ X1))) )),
% 0.21/0.42 inference(beta_eta_normalization,[],[f89])).
% 0.21/0.42 thf(f89,plain,(
% 0.21/0.42 ( ! [X2 : $i,X1 : mworld] : (($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (?? @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) & (b @ Y0 @ Y1)))))) @ X2)) | ($false = (mrel @ mactual @ X1))) )),
% 0.21/0.42 inference(pi_clausification,[],[f88])).
% 0.21/0.42 thf(f88,plain,(
% 0.21/0.42 ( ! [X1 : mworld] : (((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (?? @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) & (b @ Y0 @ Y1))))))) = $true) | ($false = (mrel @ mactual @ X1))) )),
% 0.21/0.42 inference(binary_proxy_clausification,[],[f87])).
% 0.21/0.42 thf(f87,plain,(
% 0.21/0.42 ( ! [X1 : mworld] : (($true = ((mrel @ mactual @ X1) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (?? @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) & (b @ Y0 @ Y1)))))))))) )),
% 0.21/0.42 inference(beta_eta_normalization,[],[f86])).
% 0.21/0.42 thf(f86,plain,(
% 0.21/0.42 ( ! [X1 : mworld] : ((((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (?? @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) & (b @ Y1 @ Y2))))))))) @ X1) = $true)) )),
% 0.21/0.42 inference(pi_clausification,[],[f73])).
% 0.21/0.42 thf(f73,plain,(
% 0.21/0.42 ($true = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (?? @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) & (b @ Y1 @ Y2)))))))))))),
% 0.21/0.42 inference(binary_proxy_clausification,[],[f72])).
% 0.21/0.42 thf(f72,plain,(
% 0.21/0.42 ($true = ((?? @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) & (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (a @ Y1 @ Y2)))) & (eiw_di @ Y1 @ Y0))))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (?? @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) & (b @ Y1 @ Y2))))))))))))),
% 0.21/0.42 inference(binary_proxy_clausification,[],[f70])).
% 0.21/0.42 thf(f70,plain,(
% 0.21/0.42 ($true != (((?? @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) & (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (a @ Y1 @ Y2)))) & (eiw_di @ Y1 @ Y0))))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (?? @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) & (b @ Y1 @ Y2))))))))))) => (?? @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) & (?? @ $i @ (^[Y1 : $i]: ((?? @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) & ((a @ Y1 @ Y2) & (b @ Y1 @ Y2))))) & (eiw_di @ Y1 @ Y0)))))))))),
% 0.21/0.42 inference(beta_eta_normalization,[],[f69])).
% 0.21/0.42 thf(f69,plain,(
% 0.21/0.42 ($true != ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (?? @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) & (Y0 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ (a @ Y0))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (?? @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) & (Y1 @ Y3))))))) @ (b @ Y0)))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (?? @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) & (Y0 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (?? @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) & (Y1 @ Y3))))))) @ ((^[Y1 : mworld > $o]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: ((Y1 @ Y3) & (Y2 @ Y3))))))) @ (a @ Y0) @ (b @ Y0)))))))))),
% 0.21/0.42 inference(definition_unfolding,[],[f66,f57,f56,f58,f62,f67,f54,f54,f68,f62,f62,f67,f62,f58])).
% 0.21/0.42 thf(f68,plain,(
% 0.21/0.42 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 0.21/0.42 inference(cnf_transformation,[],[f40])).
% 0.21/0.42 thf(f40,plain,(
% 0.21/0.42 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 0.21/0.42 inference(fool_elimination,[],[f39])).
% 0.21/0.42 thf(f39,plain,(
% 0.21/0.42 (mforall_di = (^[X0 : $i > mworld > $o, X1 : mworld] : (! [X2] : ((eiw_di @ X2 @ X1) => (X0 @ X2 @ X1)))))),
% 0.21/0.42 inference(rectify,[],[f13])).
% 0.21/0.42 thf(f13,axiom,(
% 0.21/0.42 (mforall_di = (^[X1 : $i > mworld > $o, X2 : mworld] : (! [X6] : ((eiw_di @ X6 @ X2) => (X1 @ X6 @ X2)))))),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_di_def)).
% 0.21/0.42 thf(f54,plain,(
% 0.21/0.42 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.21/0.42 inference(cnf_transformation,[],[f24])).
% 0.21/0.42 thf(f24,plain,(
% 0.21/0.42 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.21/0.42 inference(fool_elimination,[],[f23])).
% 0.21/0.42 thf(f23,plain,(
% 0.21/0.42 ((^[X0 : mworld > $o, X1 : mworld] : (! [X2 : mworld] : ((mrel @ X1 @ X2) => (X0 @ X2)))) = mbox)),
% 0.21/0.42 inference(rectify,[],[f7])).
% 0.21/0.42 thf(f7,axiom,(
% 0.21/0.42 ((^[X0 : mworld > $o, X2 : mworld] : (! [X4 : mworld] : ((mrel @ X2 @ X4) => (X0 @ X4)))) = mbox)),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_def)).
% 0.21/0.42 thf(f67,plain,(
% 0.21/0.42 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))))),
% 0.21/0.42 inference(cnf_transformation,[],[f22])).
% 0.21/0.42 thf(f22,plain,(
% 0.21/0.42 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))))),
% 0.21/0.42 inference(fool_elimination,[],[f21])).
% 0.21/0.42 thf(f21,plain,(
% 0.21/0.42 (mexists_di = (^[X0 : $i > mworld > $o, X1 : mworld] : (? [X2] : ((eiw_di @ X2 @ X1) & (X0 @ X2 @ X1)))))),
% 0.21/0.42 inference(rectify,[],[f14])).
% 0.21/0.42 thf(f14,axiom,(
% 0.21/0.42 (mexists_di = (^[X1 : $i > mworld > $o, X2 : mworld] : (? [X6] : ((eiw_di @ X6 @ X2) & (X1 @ X6 @ X2)))))),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_di_def)).
% 0.21/0.42 thf(f62,plain,(
% 0.21/0.42 (mdia = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (?? @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) & (Y0 @ Y2))))))))),
% 0.21/0.42 inference(cnf_transformation,[],[f28])).
% 0.21/0.42 thf(f28,plain,(
% 0.21/0.42 (mdia = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (?? @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) & (Y0 @ Y2))))))))),
% 0.21/0.42 inference(fool_elimination,[],[f27])).
% 0.21/0.42 thf(f27,plain,(
% 0.21/0.42 ((^[X0 : mworld > $o, X1 : mworld] : (? [X2 : mworld] : ((X0 @ X2) & (mrel @ X1 @ X2)))) = mdia)),
% 0.21/0.42 inference(rectify,[],[f8])).
% 0.21/0.42 thf(f8,axiom,(
% 0.21/0.42 ((^[X0 : mworld > $o, X2 : mworld] : (? [X4 : mworld] : ((X0 @ X4) & (mrel @ X2 @ X4)))) = mdia)),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia_def)).
% 0.21/0.42 thf(f58,plain,(
% 0.21/0.42 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 0.21/0.42 inference(cnf_transformation,[],[f46])).
% 0.21/0.42 thf(f46,plain,(
% 0.21/0.42 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 0.21/0.42 inference(fool_elimination,[],[f45])).
% 0.21/0.42 thf(f45,plain,(
% 0.21/0.42 (mand = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X0 @ X2))))),
% 0.21/0.42 inference(rectify,[],[f3])).
% 0.21/0.42 thf(f3,axiom,(
% 0.21/0.42 (mand = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X3 @ X2) & (X1 @ X2))))),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand_def)).
% 0.21/0.42 thf(f56,plain,(
% 0.21/0.42 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.21/0.42 inference(cnf_transformation,[],[f26])).
% 0.21/0.42 thf(f26,plain,(
% 0.21/0.42 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.21/0.42 inference(fool_elimination,[],[f25])).
% 0.21/0.42 thf(f25,plain,(
% 0.21/0.42 ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) => (X1 @ X2))) = mimplies)),
% 0.21/0.42 inference(rectify,[],[f5])).
% 0.21/0.42 thf(f5,axiom,(
% 0.21/0.42 ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) => (X3 @ X2))) = mimplies)),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies_def)).
% 0.21/0.42 thf(f57,plain,(
% 0.21/0.42 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.21/0.42 inference(cnf_transformation,[],[f20])).
% 0.21/0.42 thf(f20,plain,(
% 0.21/0.42 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.21/0.42 inference(fool_elimination,[],[f1])).
% 0.21/0.42 thf(f1,axiom,(
% 0.21/0.42 ((^[X0 : mworld > $o] : (X0 @ mactual)) = mlocal)),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_def)).
% 0.21/0.42 thf(f66,plain,(
% 0.21/0.42 ($true != (mlocal @ (mimplies @ (mand @ (mdia @ (mexists_di @ (^[Y0 : $i]: (mbox @ (a @ Y0))))) @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mdia @ (b @ Y0)))))) @ (mdia @ (mexists_di @ (^[Y0 : $i]: (mdia @ (mand @ (a @ Y0) @ (b @ Y0)))))))))),
% 0.21/0.42 inference(cnf_transformation,[],[f47])).
% 0.21/0.42 thf(f47,plain,(
% 0.21/0.42 ($true != (mlocal @ (mimplies @ (mand @ (mdia @ (mexists_di @ (^[Y0 : $i]: (mbox @ (a @ Y0))))) @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mdia @ (b @ Y0)))))) @ (mdia @ (mexists_di @ (^[Y0 : $i]: (mdia @ (mand @ (a @ Y0) @ (b @ Y0)))))))))),
% 0.21/0.42 inference(flattening,[],[f36])).
% 0.21/0.42 thf(f36,plain,(
% 0.21/0.42 ~($true = (mlocal @ (mimplies @ (mand @ (mdia @ (mexists_di @ (^[Y0 : $i]: (mbox @ (a @ Y0))))) @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mdia @ (b @ Y0)))))) @ (mdia @ (mexists_di @ (^[Y0 : $i]: (mdia @ (mand @ (a @ Y0) @ (b @ Y0)))))))))),
% 0.21/0.42 inference(fool_elimination,[],[f35])).
% 0.21/0.42 thf(f35,plain,(
% 0.21/0.42 ~(mlocal @ (mimplies @ (mand @ (mdia @ (mexists_di @ (^[X0 : $i] : (mbox @ (a @ X0))))) @ (mbox @ (mforall_di @ (^[X1 : $i] : (mdia @ (b @ X1)))))) @ (mdia @ (mexists_di @ (^[X2 : $i] : (mdia @ (mand @ (a @ X2) @ (b @ X2))))))))),
% 0.21/0.42 inference(rectify,[],[f16])).
% 0.21/0.42 thf(f16,negated_conjecture,(
% 0.21/0.42 ~(mlocal @ (mimplies @ (mand @ (mdia @ (mexists_di @ (^[X6 : $i] : (mbox @ (a @ X6))))) @ (mbox @ (mforall_di @ (^[X6 : $i] : (mdia @ (b @ X6)))))) @ (mdia @ (mexists_di @ (^[X6 : $i] : (mdia @ (mand @ (a @ X6) @ (b @ X6))))))))),
% 0.21/0.42 inference(negated_conjecture,[],[f15])).
% 0.21/0.42 thf(f15,conjecture,(
% 0.21/0.42 (mlocal @ (mimplies @ (mand @ (mdia @ (mexists_di @ (^[X6 : $i] : (mbox @ (a @ X6))))) @ (mbox @ (mforall_di @ (^[X6 : $i] : (mdia @ (b @ X6)))))) @ (mdia @ (mexists_di @ (^[X6 : $i] : (mdia @ (mand @ (a @ X6) @ (b @ X6))))))))),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.21/0.42 thf(f354,plain,(
% 0.21/0.42 ~spl1_9),
% 0.21/0.42 inference(avatar_contradiction_clause,[],[f353])).
% 0.21/0.42 thf(f353,plain,(
% 0.21/0.42 $false | ~spl1_9),
% 0.21/0.42 inference(trivial_inequality_removal,[],[f345])).
% 0.21/0.42 thf(f345,plain,(
% 0.21/0.42 ($true = $false) | ~spl1_9),
% 0.21/0.42 inference(superposition,[],[f320,f81])).
% 0.21/0.42 thf(f81,plain,(
% 0.21/0.42 ($true = (eiw_di @ sK3 @ sK2))),
% 0.21/0.42 inference(binary_proxy_clausification,[],[f80])).
% 0.21/0.42 thf(f80,plain,(
% 0.21/0.42 ($true = ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (a @ sK3 @ Y0)))) & (eiw_di @ sK3 @ sK2)))),
% 0.21/0.42 inference(beta_eta_normalization,[],[f79])).
% 0.21/0.42 thf(f79,plain,(
% 0.21/0.42 ($true = ((^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (a @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK2))) @ sK3))),
% 0.21/0.42 inference(sigma_clausification,[],[f77])).
% 0.21/0.42 thf(f77,plain,(
% 0.21/0.42 ($true = (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (a @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK2)))))),
% 0.21/0.42 inference(binary_proxy_clausification,[],[f76])).
% 0.21/0.42 thf(f76,plain,(
% 0.21/0.42 ($true = ((mrel @ mactual @ sK2) & (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (a @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK2))))))),
% 0.21/0.42 inference(beta_eta_normalization,[],[f75])).
% 0.21/0.42 thf(f75,plain,(
% 0.21/0.42 ($true = ((^[Y0 : mworld]: ((mrel @ mactual @ Y0) & (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (a @ Y1 @ Y2)))) & (eiw_di @ Y1 @ Y0)))))) @ sK2))),
% 0.21/0.42 inference(sigma_clausification,[],[f74])).
% 0.21/0.42 thf(f74,plain,(
% 0.21/0.42 ($true = (?? @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) & (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (a @ Y1 @ Y2)))) & (eiw_di @ Y1 @ Y0))))))))),
% 0.21/0.42 inference(binary_proxy_clausification,[],[f72])).
% 0.21/0.42 thf(f320,plain,(
% 0.21/0.42 ($false = (eiw_di @ sK3 @ sK2)) | ~spl1_9),
% 0.21/0.42 inference(avatar_component_clause,[],[f318])).
% 0.21/0.42 thf(f336,plain,(
% 0.21/0.42 ~spl1_8),
% 0.21/0.42 inference(avatar_contradiction_clause,[],[f335])).
% 0.21/0.42 thf(f335,plain,(
% 0.21/0.42 $false | ~spl1_8),
% 0.21/0.42 inference(trivial_inequality_removal,[],[f327])).
% 0.21/0.42 thf(f327,plain,(
% 0.21/0.42 ($true = $false) | ~spl1_8),
% 0.21/0.42 inference(superposition,[],[f310,f78])).
% 0.21/0.42 thf(f78,plain,(
% 0.21/0.42 ($true = (mrel @ mactual @ sK2))),
% 0.21/0.42 inference(binary_proxy_clausification,[],[f76])).
% 0.21/0.42 thf(f310,plain,(
% 0.21/0.42 ($false = (mrel @ mactual @ sK2)) | ~spl1_8),
% 0.21/0.42 inference(avatar_component_clause,[],[f308])).
% 0.21/0.42 thf(f326,plain,(
% 0.21/0.42 spl1_10 | spl1_9 | ~spl1_7),
% 0.21/0.42 inference(avatar_split_clause,[],[f315,f305,f318,f322])).
% 0.21/0.42 thf(f305,plain,(
% 0.21/0.42 spl1_7 <=> ! [X0] : (((a @ X0 @ (sK4 @ sK2 @ X0)) = $false) | ((eiw_di @ X0 @ sK2) = $false))),
% 0.21/0.42 introduced(avatar_definition,[new_symbols(naming,[spl1_7])])).
% 0.21/0.42 thf(f315,plain,(
% 0.21/0.42 ($false = (eiw_di @ sK3 @ sK2)) | ($false = (mrel @ sK2 @ (sK4 @ sK2 @ sK3))) | ~spl1_7),
% 0.21/0.42 inference(trivial_inequality_removal,[],[f314])).
% 0.21/0.42 thf(f314,plain,(
% 0.21/0.42 ($true = $false) | ($false = (mrel @ sK2 @ (sK4 @ sK2 @ sK3))) | ($false = (eiw_di @ sK3 @ sK2)) | ~spl1_7),
% 0.21/0.42 inference(superposition,[],[f85,f306])).
% 0.21/0.42 thf(f306,plain,(
% 0.21/0.42 ( ! [X0 : $i] : (((a @ X0 @ (sK4 @ sK2 @ X0)) = $false) | ((eiw_di @ X0 @ sK2) = $false)) ) | ~spl1_7),
% 0.21/0.42 inference(avatar_component_clause,[],[f305])).
% 0.21/0.42 thf(f85,plain,(
% 0.21/0.42 ( ! [X1 : mworld] : (($true = (a @ sK3 @ X1)) | ((mrel @ sK2 @ X1) = $false)) )),
% 0.21/0.42 inference(binary_proxy_clausification,[],[f84])).
% 0.21/0.42 thf(f84,plain,(
% 0.21/0.42 ( ! [X1 : mworld] : ((((mrel @ sK2 @ X1) => (a @ sK3 @ X1)) = $true)) )),
% 0.21/0.42 inference(beta_eta_normalization,[],[f83])).
% 0.21/0.42 thf(f83,plain,(
% 0.21/0.42 ( ! [X1 : mworld] : ((((^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (a @ sK3 @ Y0))) @ X1) = $true)) )),
% 0.21/0.42 inference(pi_clausification,[],[f82])).
% 0.21/0.42 thf(f82,plain,(
% 0.21/0.42 ($true = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (a @ sK3 @ Y0)))))),
% 0.21/0.42 inference(binary_proxy_clausification,[],[f80])).
% 0.21/0.42 thf(f312,plain,(
% 0.21/0.42 spl1_8 | spl1_7),
% 0.21/0.42 inference(avatar_split_clause,[],[f301,f305,f308])).
% 0.21/0.42 thf(f301,plain,(
% 0.21/0.42 ( ! [X0 : $i] : (($false = (mrel @ mactual @ sK2)) | ((a @ X0 @ (sK4 @ sK2 @ X0)) = $false) | ((eiw_di @ X0 @ sK2) = $false)) )),
% 0.21/0.42 inference(trivial_inequality_removal,[],[f300])).
% 0.21/0.42 thf(f300,plain,(
% 0.21/0.42 ( ! [X0 : $i] : (($false = (mrel @ mactual @ sK2)) | ($true = $false) | ((a @ X0 @ (sK4 @ sK2 @ X0)) = $false) | ((eiw_di @ X0 @ sK2) = $false)) )),
% 0.21/0.42 inference(duplicate_literal_removal,[],[f296])).
% 0.21/0.42 thf(f296,plain,(
% 0.21/0.42 ( ! [X0 : $i] : (((eiw_di @ X0 @ sK2) = $false) | ((a @ X0 @ (sK4 @ sK2 @ X0)) = $false) | ($false = (mrel @ mactual @ sK2)) | ((eiw_di @ X0 @ sK2) = $false) | ($false = (mrel @ mactual @ sK2)) | ($true = $false) | ((eiw_di @ X0 @ sK2) = $false)) )),
% 0.21/0.42 inference(superposition,[],[f95,f177])).
% 0.21/0.42 thf(f177,plain,(
% 0.21/0.42 ( ! [X0 : $i,X1 : mworld] : (($false = (mrel @ sK2 @ (sK4 @ X1 @ X0))) | ((a @ X0 @ (sK4 @ X1 @ X0)) = $false) | ($false = (mrel @ mactual @ X1)) | ((eiw_di @ X0 @ sK2) = $false) | ((eiw_di @ X0 @ X1) = $false)) )),
% 0.21/0.42 inference(trivial_inequality_removal,[],[f174])).
% 0.21/0.42 thf(f174,plain,(
% 0.21/0.42 ( ! [X0 : $i,X1 : mworld] : (($true = $false) | ((a @ X0 @ (sK4 @ X1 @ X0)) = $false) | ($false = (mrel @ mactual @ X1)) | ($false = (mrel @ sK2 @ (sK4 @ X1 @ X0))) | ((eiw_di @ X0 @ sK2) = $false) | ((eiw_di @ X0 @ X1) = $false)) )),
% 0.21/0.42 inference(superposition,[],[f123,f94])).
% 0.21/0.42 thf(f94,plain,(
% 0.21/0.42 ( ! [X2 : $i,X1 : mworld] : (($true = (b @ X2 @ (sK4 @ X1 @ X2))) | ($false = (mrel @ mactual @ X1)) | ((eiw_di @ X2 @ X1) = $false)) )),
% 0.21/0.42 inference(binary_proxy_clausification,[],[f93])).
% 0.21/0.42 thf(f123,plain,(
% 0.21/0.42 ( ! [X0 : $i,X1 : mworld] : (($false = (b @ X0 @ X1)) | ((eiw_di @ X0 @ sK2) = $false) | ((a @ X0 @ X1) = $false) | ((mrel @ sK2 @ X1) = $false)) )),
% 0.21/0.42 inference(trivial_inequality_removal,[],[f106])).
% 0.21/0.42 thf(f106,plain,(
% 0.21/0.42 ( ! [X0 : $i,X1 : mworld] : (((a @ X0 @ X1) = $false) | ((mrel @ sK2 @ X1) = $false) | ($true = $false) | ($false = (b @ X0 @ X1)) | ((eiw_di @ X0 @ sK2) = $false)) )),
% 0.21/0.42 inference(superposition,[],[f105,f78])).
% 0.21/0.42 thf(f105,plain,(
% 0.21/0.42 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (($false = (mrel @ mactual @ X1)) | ((eiw_di @ X2 @ X1) = $false) | ($false = (a @ X2 @ X3)) | ($false = (b @ X2 @ X3)) | ($false = (mrel @ X1 @ X3))) )),
% 0.21/0.42 inference(binary_proxy_clausification,[],[f104])).
% 0.21/0.42 thf(f104,plain,(
% 0.21/0.42 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (($false = ((a @ X2 @ X3) & (b @ X2 @ X3))) | ($false = (mrel @ X1 @ X3)) | ($false = (mrel @ mactual @ X1)) | ((eiw_di @ X2 @ X1) = $false)) )),
% 0.21/0.42 inference(binary_proxy_clausification,[],[f103])).
% 0.21/0.42 thf(f103,plain,(
% 0.21/0.42 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (($false = (mrel @ mactual @ X1)) | ((eiw_di @ X2 @ X1) = $false) | (((mrel @ X1 @ X3) & ((a @ X2 @ X3) & (b @ X2 @ X3))) = $false)) )),
% 0.21/0.42 inference(beta_eta_normalization,[],[f102])).
% 0.21/0.42 thf(f102,plain,(
% 0.21/0.42 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (($false = (mrel @ mactual @ X1)) | ($false = ((^[Y0 : mworld]: ((mrel @ X1 @ Y0) & ((a @ X2 @ Y0) & (b @ X2 @ Y0)))) @ X3)) | ((eiw_di @ X2 @ X1) = $false)) )),
% 0.21/0.42 inference(pi_clausification,[],[f101])).
% 0.21/0.42 thf(f101,plain,(
% 0.21/0.42 ( ! [X2 : $i,X1 : mworld] : (($false = (?? @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) & ((a @ X2 @ Y0) & (b @ X2 @ Y0)))))) | ((eiw_di @ X2 @ X1) = $false) | ($false = (mrel @ mactual @ X1))) )),
% 0.21/0.42 inference(binary_proxy_clausification,[],[f100])).
% 0.21/0.42 thf(f100,plain,(
% 0.21/0.42 ( ! [X2 : $i,X1 : mworld] : (($false = ((?? @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) & ((a @ X2 @ Y0) & (b @ X2 @ Y0))))) & (eiw_di @ X2 @ X1))) | ($false = (mrel @ mactual @ X1))) )),
% 0.21/0.42 inference(beta_eta_normalization,[],[f99])).
% 0.21/0.42 thf(f99,plain,(
% 0.21/0.42 ( ! [X2 : $i,X1 : mworld] : (($false = (mrel @ mactual @ X1)) | (((^[Y0 : $i]: ((?? @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) & ((a @ Y0 @ Y1) & (b @ Y0 @ Y1))))) & (eiw_di @ Y0 @ X1))) @ X2) = $false)) )),
% 0.21/0.42 inference(pi_clausification,[],[f98])).
% 0.21/0.42 thf(f98,plain,(
% 0.21/0.42 ( ! [X1 : mworld] : (($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) & ((a @ Y0 @ Y1) & (b @ Y0 @ Y1))))) & (eiw_di @ Y0 @ X1))))) | ($false = (mrel @ mactual @ X1))) )),
% 0.21/0.42 inference(binary_proxy_clausification,[],[f97])).
% 0.21/0.42 thf(f97,plain,(
% 0.21/0.42 ( ! [X1 : mworld] : ((((mrel @ mactual @ X1) & (?? @ $i @ (^[Y0 : $i]: ((?? @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) & ((a @ Y0 @ Y1) & (b @ Y0 @ Y1))))) & (eiw_di @ Y0 @ X1))))) = $false)) )),
% 0.21/0.42 inference(beta_eta_normalization,[],[f96])).
% 0.21/0.42 thf(f96,plain,(
% 0.21/0.42 ( ! [X1 : mworld] : (($false = ((^[Y0 : mworld]: ((mrel @ mactual @ Y0) & (?? @ $i @ (^[Y1 : $i]: ((?? @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) & ((a @ Y1 @ Y2) & (b @ Y1 @ Y2))))) & (eiw_di @ Y1 @ Y0)))))) @ X1))) )),
% 0.21/0.42 inference(pi_clausification,[],[f71])).
% 0.21/0.42 thf(f71,plain,(
% 0.21/0.42 ((?? @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) & (?? @ $i @ (^[Y1 : $i]: ((?? @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) & ((a @ Y1 @ Y2) & (b @ Y1 @ Y2))))) & (eiw_di @ Y1 @ Y0))))))) = $false)),
% 0.21/0.42 inference(binary_proxy_clausification,[],[f70])).
% 0.21/0.42 % SZS output end Proof for theBenchmark
% 0.21/0.42 % (3401)------------------------------
% 0.21/0.42 % (3401)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (3401)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (3401)Memory used [KB]: 5884
% 0.21/0.42 % (3401)Time elapsed: 0.042 s
% 0.21/0.42 % (3401)Instructions burned: 55 (million)
% 0.21/0.42 % (3401)------------------------------
% 0.21/0.42 % (3401)------------------------------
% 0.21/0.42 % (3400)Success in time 0.053 s
% 0.21/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------