TSTP Solution File: SEU477^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU477^1 : TPTP v8.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 03:49:04 EDT 2024
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU477^1 : TPTP v8.2.0. Released v3.6.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n006.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 15:36:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.15/0.36 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/sandbox/benchmark/theBenchmark.p
% 0.15/0.38 % (32638)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.38 % (32632)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.38 % (32633)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)
% 0.15/0.38 % (32634)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)
% 0.15/0.38 % (32635)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.38 % (32636)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)
% 0.15/0.38 % (32637)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)
% 0.15/0.38 % (32639)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)
% 0.15/0.38 % (32635)Instruction limit reached!
% 0.15/0.38 % (32635)------------------------------
% 0.15/0.38 % (32635)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (32635)Termination reason: Unknown
% 0.15/0.38 % (32635)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (32636)Instruction limit reached!
% 0.15/0.38 % (32636)------------------------------
% 0.15/0.38 % (32636)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (32635)Memory used [KB]: 1023
% 0.15/0.38 % (32635)Time elapsed: 0.003 s
% 0.15/0.38 % (32635)Instructions burned: 2 (million)
% 0.15/0.38 % (32635)------------------------------
% 0.15/0.38 % (32635)------------------------------
% 0.15/0.38 % (32636)Termination reason: Unknown
% 0.15/0.38 % (32636)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (32636)Memory used [KB]: 1023
% 0.15/0.38 % (32636)Time elapsed: 0.003 s
% 0.15/0.38 % (32636)Instructions burned: 2 (million)
% 0.15/0.38 % (32636)------------------------------
% 0.15/0.38 % (32636)------------------------------
% 0.15/0.38 % (32633)Instruction limit reached!
% 0.15/0.38 % (32633)------------------------------
% 0.15/0.38 % (32633)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (32633)Termination reason: Unknown
% 0.15/0.38 % (32633)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (32633)Memory used [KB]: 1023
% 0.15/0.38 % (32633)Time elapsed: 0.004 s
% 0.15/0.38 % (32633)Instructions burned: 4 (million)
% 0.15/0.38 % (32633)------------------------------
% 0.15/0.38 % (32633)------------------------------
% 0.15/0.38 % (32639)Instruction limit reached!
% 0.15/0.38 % (32639)------------------------------
% 0.15/0.38 % (32639)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (32639)Termination reason: Unknown
% 0.15/0.38 % (32639)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (32639)Memory used [KB]: 1023
% 0.15/0.38 % (32639)Time elapsed: 0.004 s
% 0.15/0.38 % (32639)Instructions burned: 3 (million)
% 0.15/0.38 % (32639)------------------------------
% 0.15/0.38 % (32639)------------------------------
% 0.22/0.39 % (32638)Instruction limit reached!
% 0.22/0.39 % (32638)------------------------------
% 0.22/0.39 % (32638)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (32638)Termination reason: Unknown
% 0.22/0.39 % (32638)Termination phase: Saturation
% 0.22/0.39
% 0.22/0.39 % (32638)Memory used [KB]: 5628
% 0.22/0.39 % (32638)Time elapsed: 0.010 s
% 0.22/0.39 % (32638)Instructions burned: 18 (million)
% 0.22/0.39 % (32638)------------------------------
% 0.22/0.39 % (32638)------------------------------
% 0.22/0.40 % (32641)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)
% 0.22/0.40 % (32634)Instruction limit reached!
% 0.22/0.40 % (32634)------------------------------
% 0.22/0.40 % (32634)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (32634)Termination reason: Unknown
% 0.22/0.40 % (32642)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)
% 0.22/0.40 % (32634)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (32634)Memory used [KB]: 5756
% 0.22/0.40 % (32634)Time elapsed: 0.018 s
% 0.22/0.40 % (32634)Instructions burned: 27 (million)
% 0.22/0.40 % (32634)------------------------------
% 0.22/0.40 % (32634)------------------------------
% 0.22/0.40 % (32643)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)
% 0.22/0.40 % (32644)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)
% 0.22/0.40 % (32643)Instruction limit reached!
% 0.22/0.40 % (32643)------------------------------
% 0.22/0.40 % (32643)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (32643)Termination reason: Unknown
% 0.22/0.40 % (32643)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (32643)Memory used [KB]: 1023
% 0.22/0.40 % (32643)Time elapsed: 0.004 s
% 0.22/0.40 % (32643)Instructions burned: 4 (million)
% 0.22/0.40 % (32643)------------------------------
% 0.22/0.40 % (32643)------------------------------
% 0.22/0.40 % (32645)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.40 % (32642)Instruction limit reached!
% 0.22/0.40 % (32642)------------------------------
% 0.22/0.40 % (32642)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (32642)Termination reason: Unknown
% 0.22/0.40 % (32642)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (32645)Instruction limit reached!
% 0.22/0.40 % (32645)------------------------------
% 0.22/0.40 % (32645)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (32645)Termination reason: Unknown
% 0.22/0.40 % (32645)Termination phase: Property scanning
% 0.22/0.40
% 0.22/0.40 % (32645)Memory used [KB]: 1023
% 0.22/0.40 % (32645)Time elapsed: 0.005 s
% 0.22/0.40 % (32645)Instructions burned: 8 (million)
% 0.22/0.40 % (32645)------------------------------
% 0.22/0.40 % (32645)------------------------------
% 0.22/0.41 % (32642)Memory used [KB]: 5628
% 0.22/0.41 % (32642)Time elapsed: 0.010 s
% 0.22/0.41 % (32642)Instructions burned: 15 (million)
% 0.22/0.41 % (32642)------------------------------
% 0.22/0.41 % (32642)------------------------------
% 0.22/0.41 % (32646)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.41 % (32647)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)
% 0.22/0.42 % (32647)Instruction limit reached!
% 0.22/0.42 % (32647)------------------------------
% 0.22/0.42 % (32647)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (32647)Termination reason: Unknown
% 0.22/0.42 % (32647)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (32647)Memory used [KB]: 1023
% 0.22/0.42 % (32647)Time elapsed: 0.004 s
% 0.22/0.42 % (32647)Instructions burned: 4 (million)
% 0.22/0.42 % (32647)------------------------------
% 0.22/0.42 % (32647)------------------------------
% 0.22/0.42 % (32641)Instruction limit reached!
% 0.22/0.42 % (32641)------------------------------
% 0.22/0.42 % (32641)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (32641)Termination reason: Unknown
% 0.22/0.42 % (32641)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (32641)Memory used [KB]: 6012
% 0.22/0.42 % (32641)Time elapsed: 0.022 s
% 0.22/0.42 % (32641)Instructions burned: 38 (million)
% 0.22/0.42 % (32641)------------------------------
% 0.22/0.42 % (32641)------------------------------
% 0.22/0.42 % (32648)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)
% 0.22/0.42 % (32648)Instruction limit reached!
% 0.22/0.42 % (32648)------------------------------
% 0.22/0.42 % (32648)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (32648)Termination reason: Unknown
% 0.22/0.42 % (32648)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (32648)Memory used [KB]: 1023
% 0.22/0.42 % (32648)Time elapsed: 0.003 s
% 0.22/0.42 % (32648)Instructions burned: 4 (million)
% 0.22/0.42 % (32648)------------------------------
% 0.22/0.42 % (32648)------------------------------
% 0.22/0.42 % (32649)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.42 % (32646)Instruction limit reached!
% 0.22/0.42 % (32646)------------------------------
% 0.22/0.42 % (32646)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (32646)Termination reason: Unknown
% 0.22/0.42 % (32646)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (32646)Memory used [KB]: 5756
% 0.22/0.42 % (32646)Time elapsed: 0.012 s
% 0.22/0.42 % (32646)Instructions burned: 17 (million)
% 0.22/0.42 % (32646)------------------------------
% 0.22/0.42 % (32646)------------------------------
% 0.22/0.42 % (32649)Instruction limit reached!
% 0.22/0.42 % (32649)------------------------------
% 0.22/0.42 % (32649)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (32649)Termination reason: Unknown
% 0.22/0.42 % (32649)Termination phase: Property scanning
% 0.22/0.42
% 0.22/0.42 % (32649)Memory used [KB]: 1023
% 0.22/0.42 % (32649)Time elapsed: 0.006 s
% 0.22/0.42 % (32649)Instructions burned: 7 (million)
% 0.22/0.42 % (32649)------------------------------
% 0.22/0.42 % (32649)------------------------------
% 0.22/0.42 % (32644)First to succeed.
% 0.22/0.43 % (32644)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Theorem for theBenchmark
% 0.22/0.43 % SZS output start Proof for theBenchmark
% 0.22/0.43 thf(func_def_0, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_2, type, inv: ($i > $i > $o) > $i > $i > $o).
% 0.22/0.43 thf(func_def_3, type, idem: (($i > $i > $o) > $i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_4, type, infl: (($i > $i > $o) > $i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_5, type, mono: (($i > $i > $o) > $i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_6, type, refl: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_7, type, irrefl: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_8, type, rc: ($i > $i > $o) > $i > $i > $o).
% 0.22/0.43 thf(func_def_9, type, symm: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_10, type, antisymm: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_11, type, asymm: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_12, type, sc: ($i > $i > $o) > $i > $i > $o).
% 0.22/0.43 thf(func_def_13, type, trans: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_14, type, tc: ($i > $i > $o) > $i > $i > $o).
% 0.22/0.43 thf(func_def_15, type, trc: ($i > $i > $o) > $i > $i > $o).
% 0.22/0.43 thf(func_def_16, type, trsc: ($i > $i > $o) > $i > $i > $o).
% 0.22/0.43 thf(func_def_17, type, po: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_18, type, so: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_19, type, total: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_20, type, term: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_21, type, ind: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_22, type, innf: ($i > $i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_23, type, nfof: ($i > $i > $o) > $i > $i > $o).
% 0.22/0.43 thf(func_def_24, type, norm: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_25, type, join: ($i > $i > $o) > $i > $i > $o).
% 0.22/0.43 thf(func_def_26, type, lconfl: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_27, type, sconfl: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_28, type, confl: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_29, type, cr: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_45, type, ph1: !>[X0: $tType]:(X0)).
% 0.22/0.43 thf(func_def_46, type, sK2: $i > $i > $o).
% 0.22/0.43 thf(func_def_47, type, sK3: $i > $o).
% 0.22/0.43 thf(func_def_53, type, sK9: $i > $o).
% 0.22/0.43 thf(f364,plain,(
% 0.22/0.43 $false),
% 0.22/0.43 inference(avatar_sat_refutation,[],[f152,f159,f261,f265,f363])).
% 0.22/0.43 thf(f363,plain,(
% 0.22/0.43 ~spl0_2 | ~spl0_4),
% 0.22/0.43 inference(avatar_contradiction_clause,[],[f362])).
% 0.22/0.43 thf(f362,plain,(
% 0.22/0.43 $false | (~spl0_2 | ~spl0_4)),
% 0.22/0.43 inference(trivial_inequality_removal,[],[f361])).
% 0.22/0.43 thf(f361,plain,(
% 0.22/0.43 ($true = $false) | (~spl0_2 | ~spl0_4)),
% 0.22/0.43 inference(boolean_simplification,[],[f360])).
% 0.22/0.43 thf(f360,plain,(
% 0.22/0.43 ((~ $true) = $true) | (~spl0_2 | ~spl0_4)),
% 0.22/0.43 inference(forward_demodulation,[],[f353,f335])).
% 0.22/0.43 thf(f335,plain,(
% 0.22/0.43 ($true = (sK9 @ sK14)) | (~spl0_2 | ~spl0_4)),
% 0.22/0.43 inference(binary_proxy_clausification,[],[f333])).
% 0.22/0.43 thf(f333,plain,(
% 0.22/0.43 (((sK9 @ sK14) & (sK2 @ sK12 @ sK14)) = $true) | (~spl0_2 | ~spl0_4)),
% 0.22/0.43 inference(beta_eta_normalization,[],[f327])).
% 0.22/0.43 thf(f327,plain,(
% 0.22/0.43 ($true = ((^[Y0 : $i]: ((sK9 @ Y0) & (sK2 @ sK12 @ Y0))) @ sK14)) | (~spl0_2 | ~spl0_4)),
% 0.22/0.43 inference(sigma_clausification,[],[f313])).
% 0.22/0.43 thf(f313,plain,(
% 0.22/0.43 ($true = (?? @ $i @ (^[Y0 : $i]: ((sK9 @ Y0) & (sK2 @ sK12 @ Y0))))) | (~spl0_2 | ~spl0_4)),
% 0.22/0.43 inference(boolean_simplification,[],[f312])).
% 0.22/0.43 thf(f312,plain,(
% 0.22/0.43 ($true = ($true => (?? @ $i @ (^[Y0 : $i]: ((sK9 @ Y0) & (sK2 @ sK12 @ Y0)))))) | (~spl0_2 | ~spl0_4)),
% 0.22/0.43 inference(superposition,[],[f284,f311])).
% 0.22/0.43 thf(f311,plain,(
% 0.22/0.43 ((sK9 @ sK12) = $true) | (~spl0_2 | ~spl0_4)),
% 0.22/0.43 inference(boolean_simplification,[],[f310])).
% 0.22/0.43 thf(f310,plain,(
% 0.22/0.43 ($true = ($true & (sK9 @ sK12))) | (~spl0_2 | ~spl0_4)),
% 0.22/0.43 inference(backward_demodulation,[],[f307,f309])).
% 0.22/0.43 thf(f309,plain,(
% 0.22/0.43 ($true = (!! @ $i @ (^[Y0 : $i]: ((sK9 @ Y0) => (~ (sK2 @ sK12 @ Y0)))))) | (~spl0_2 | ~spl0_4)),
% 0.22/0.43 inference(binary_proxy_clausification,[],[f307])).
% 0.22/0.43 thf(f307,plain,(
% 0.22/0.43 ($true = ((!! @ $i @ (^[Y0 : $i]: ((sK9 @ Y0) => (~ (sK2 @ sK12 @ Y0))))) & (sK9 @ sK12))) | (~spl0_2 | ~spl0_4)),
% 0.22/0.43 inference(beta_eta_normalization,[],[f301])).
% 0.22/0.43 thf(f301,plain,(
% 0.22/0.43 ($true = ((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK9 @ Y1) => (~ (sK2 @ Y0 @ Y1))))) & (sK9 @ Y0))) @ sK12)) | (~spl0_2 | ~spl0_4)),
% 0.22/0.43 inference(sigma_clausification,[],[f282])).
% 0.22/0.43 thf(f282,plain,(
% 0.22/0.43 ($true = (?? @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK9 @ Y1) => (~ (sK2 @ Y0 @ Y1))))) & (sK9 @ Y0))))) | (~spl0_2 | ~spl0_4)),
% 0.22/0.43 inference(boolean_simplification,[],[f281])).
% 0.22/0.43 thf(f281,plain,(
% 0.22/0.43 ($true = ($true => (?? @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK9 @ Y1) => (~ (sK2 @ Y0 @ Y1))))) & (sK9 @ Y0)))))) | (~spl0_2 | ~spl0_4)),
% 0.22/0.43 inference(superposition,[],[f269,f276])).
% 0.22/0.43 thf(f276,plain,(
% 0.22/0.43 ((?? @ $i @ sK9) = $true) | ~spl0_4),
% 0.22/0.43 inference(binary_proxy_clausification,[],[f275])).
% 0.22/0.43 thf(f275,plain,(
% 0.22/0.43 (((!! @ $i @ (^[Y0 : $i]: ((sK9 @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((sK9 @ Y1) & (sK2 @ Y0 @ Y1))))))) & (?? @ $i @ sK9)) = $true) | ~spl0_4),
% 0.22/0.43 inference(beta_eta_normalization,[],[f274])).
% 0.22/0.43 thf(f274,plain,(
% 0.22/0.43 (((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) & (sK2 @ Y1 @ Y2))))))) & (?? @ $i @ Y0))) @ sK9) = $true) | ~spl0_4),
% 0.22/0.43 inference(sigma_clausification,[],[f271])).
% 0.22/0.43 thf(f271,plain,(
% 0.22/0.43 ((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) & (sK2 @ Y1 @ Y2))))))) & (?? @ $i @ Y0)))) = $true) | ~spl0_4),
% 0.22/0.43 inference(not_proxy_clausification,[],[f158])).
% 0.22/0.43 thf(f158,plain,(
% 0.22/0.43 ($false = (~ (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) & (sK2 @ Y1 @ Y2))))))) & (?? @ $i @ Y0)))))) | ~spl0_4),
% 0.22/0.43 inference(avatar_component_clause,[],[f157])).
% 0.22/0.43 thf(f157,plain,(
% 0.22/0.43 spl0_4 <=> ($false = (~ (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) & (sK2 @ Y1 @ Y2))))))) & (?? @ $i @ Y0))))))),
% 0.22/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 0.22/0.43 thf(f269,plain,(
% 0.22/0.43 ( ! [X1 : $i > $o] : (($true = ((?? @ $i @ X1) => (?? @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((X1 @ Y1) => (~ (sK2 @ Y0 @ Y1))))) & (X1 @ Y0))))))) ) | ~spl0_2),
% 0.22/0.43 inference(beta_eta_normalization,[],[f268])).
% 0.22/0.43 thf(f268,plain,(
% 0.22/0.43 ( ! [X1 : $i > $o] : (($true = ((^[Y0 : $i > $o]: ((?? @ $i @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (~ (sK2 @ Y1 @ Y2))))) & (Y0 @ Y1)))))) @ X1))) ) | ~spl0_2),
% 0.22/0.43 inference(pi_clausification,[],[f151])).
% 0.22/0.43 thf(f151,plain,(
% 0.22/0.43 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((?? @ $i @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (~ (sK2 @ Y1 @ Y2))))) & (Y0 @ Y1)))))))) | ~spl0_2),
% 0.22/0.43 inference(avatar_component_clause,[],[f150])).
% 0.22/0.43 thf(f150,plain,(
% 0.22/0.43 spl0_2 <=> ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((?? @ $i @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (~ (sK2 @ Y1 @ Y2))))) & (Y0 @ Y1))))))))),
% 0.22/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.22/0.43 thf(f284,plain,(
% 0.22/0.43 ( ! [X1 : $i] : (($true = ((sK9 @ X1) => (?? @ $i @ (^[Y0 : $i]: ((sK9 @ Y0) & (sK2 @ X1 @ Y0))))))) ) | ~spl0_4),
% 0.22/0.43 inference(beta_eta_normalization,[],[f283])).
% 0.22/0.43 thf(f283,plain,(
% 0.22/0.43 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((sK9 @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((sK9 @ Y1) & (sK2 @ Y0 @ Y1)))))) @ X1) = $true)) ) | ~spl0_4),
% 0.22/0.43 inference(pi_clausification,[],[f279])).
% 0.22/0.43 thf(f279,plain,(
% 0.22/0.43 ((!! @ $i @ (^[Y0 : $i]: ((sK9 @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((sK9 @ Y1) & (sK2 @ Y0 @ Y1))))))) = $true) | ~spl0_4),
% 0.22/0.43 inference(boolean_simplification,[],[f278])).
% 0.22/0.43 thf(f278,plain,(
% 0.22/0.43 ($true = ((!! @ $i @ (^[Y0 : $i]: ((sK9 @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((sK9 @ Y1) & (sK2 @ Y0 @ Y1))))))) & $true)) | ~spl0_4),
% 0.22/0.43 inference(backward_demodulation,[],[f275,f276])).
% 0.22/0.43 thf(f353,plain,(
% 0.22/0.43 ($true = (~ (sK9 @ sK14))) | (~spl0_2 | ~spl0_4)),
% 0.22/0.43 inference(boolean_simplification,[],[f352])).
% 0.22/0.43 thf(f352,plain,(
% 0.22/0.43 ($true = ((sK9 @ sK14) => $false)) | (~spl0_2 | ~spl0_4)),
% 0.22/0.43 inference(boolean_simplification,[],[f343])).
% 0.22/0.43 thf(f343,plain,(
% 0.22/0.43 (((sK9 @ sK14) => (~ $true)) = $true) | (~spl0_2 | ~spl0_4)),
% 0.22/0.43 inference(superposition,[],[f341,f337])).
% 0.22/0.43 thf(f337,plain,(
% 0.22/0.43 ((sK2 @ sK12 @ sK14) = $true) | (~spl0_2 | ~spl0_4)),
% 0.22/0.43 inference(boolean_simplification,[],[f336])).
% 0.22/0.43 thf(f336,plain,(
% 0.22/0.43 ($true = ($true & (sK2 @ sK12 @ sK14))) | (~spl0_2 | ~spl0_4)),
% 0.22/0.43 inference(backward_demodulation,[],[f333,f335])).
% 0.22/0.43 thf(f341,plain,(
% 0.22/0.43 ( ! [X1 : $i] : (($true = ((sK9 @ X1) => (~ (sK2 @ sK12 @ X1))))) ) | (~spl0_2 | ~spl0_4)),
% 0.22/0.43 inference(beta_eta_normalization,[],[f340])).
% 0.22/0.43 thf(f340,plain,(
% 0.22/0.43 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((sK9 @ Y0) => (~ (sK2 @ sK12 @ Y0)))) @ X1) = $true)) ) | (~spl0_2 | ~spl0_4)),
% 0.22/0.43 inference(pi_clausification,[],[f309])).
% 0.22/0.43 thf(f265,plain,(
% 0.22/0.43 ~spl0_1 | ~spl0_4),
% 0.22/0.43 inference(avatar_contradiction_clause,[],[f264])).
% 0.22/0.43 thf(f264,plain,(
% 0.22/0.43 $false | (~spl0_1 | ~spl0_4)),
% 0.22/0.43 inference(trivial_inequality_removal,[],[f263])).
% 0.22/0.43 thf(f263,plain,(
% 0.22/0.43 ($true = $false) | (~spl0_1 | ~spl0_4)),
% 0.22/0.43 inference(backward_demodulation,[],[f148,f158])).
% 0.22/0.43 thf(f148,plain,(
% 0.22/0.43 ($true = (~ (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) & (sK2 @ Y1 @ Y2))))))) & (?? @ $i @ Y0)))))) | ~spl0_1),
% 0.22/0.43 inference(avatar_component_clause,[],[f147])).
% 0.22/0.43 thf(f147,plain,(
% 0.22/0.43 spl0_1 <=> ($true = (~ (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) & (sK2 @ Y1 @ Y2))))))) & (?? @ $i @ Y0))))))),
% 0.22/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.22/0.43 thf(f261,plain,(
% 0.22/0.43 ~spl0_3),
% 0.22/0.43 inference(avatar_contradiction_clause,[],[f260])).
% 0.22/0.43 thf(f260,plain,(
% 0.22/0.43 $false | ~spl0_3),
% 0.22/0.43 inference(trivial_inequality_removal,[],[f259])).
% 0.22/0.43 thf(f259,plain,(
% 0.22/0.43 ($true = $false) | ~spl0_3),
% 0.22/0.43 inference(boolean_simplification,[],[f258])).
% 0.22/0.43 thf(f258,plain,(
% 0.22/0.43 ($false = (~ $false)) | ~spl0_3),
% 0.22/0.43 inference(backward_demodulation,[],[f248,f256])).
% 0.22/0.43 thf(f256,plain,(
% 0.22/0.43 ($false = (sK2 @ sK6 @ sK8)) | ~spl0_3),
% 0.22/0.43 inference(boolean_simplification,[],[f254])).
% 0.22/0.43 thf(f254,plain,(
% 0.22/0.43 ($false = ($true & (sK2 @ sK6 @ sK8))) | ~spl0_3),
% 0.22/0.43 inference(superposition,[],[f220,f249])).
% 0.22/0.43 thf(f249,plain,(
% 0.22/0.43 ((sK3 @ sK8) = $true) | ~spl0_3),
% 0.22/0.43 inference(binary_proxy_clausification,[],[f242])).
% 0.22/0.43 thf(f242,plain,(
% 0.22/0.43 (((sK3 @ sK8) => (~ (sK2 @ sK6 @ sK8))) = $false) | ~spl0_3),
% 0.22/0.43 inference(beta_eta_normalization,[],[f240])).
% 0.22/0.43 thf(f240,plain,(
% 0.22/0.43 ($false = ((^[Y0 : $i]: ((sK3 @ Y0) => (~ (sK2 @ sK6 @ Y0)))) @ sK8)) | ~spl0_3),
% 0.22/0.43 inference(sigma_clausification,[],[f215])).
% 0.22/0.43 thf(f215,plain,(
% 0.22/0.43 ((!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => (~ (sK2 @ sK6 @ Y0))))) = $false) | ~spl0_3),
% 0.22/0.43 inference(boolean_simplification,[],[f214])).
% 0.22/0.43 thf(f214,plain,(
% 0.22/0.43 (((!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => (~ (sK2 @ sK6 @ Y0))))) & $true) = $false) | ~spl0_3),
% 0.22/0.43 inference(superposition,[],[f185,f211])).
% 0.22/0.43 thf(f211,plain,(
% 0.22/0.43 ((sK3 @ sK6) = $true) | ~spl0_3),
% 0.22/0.43 inference(binary_proxy_clausification,[],[f205])).
% 0.22/0.43 thf(f205,plain,(
% 0.22/0.43 (((sK3 @ sK6) => (?? @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) & (sK2 @ sK6 @ Y0))))) = $false) | ~spl0_3),
% 0.22/0.43 inference(beta_eta_normalization,[],[f202])).
% 0.22/0.43 thf(f202,plain,(
% 0.22/0.43 ($false = ((^[Y0 : $i]: ((sK3 @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((sK3 @ Y1) & (sK2 @ Y0 @ Y1)))))) @ sK6)) | ~spl0_3),
% 0.22/0.43 inference(sigma_clausification,[],[f180])).
% 0.22/0.43 thf(f180,plain,(
% 0.22/0.43 ($false = (!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((sK3 @ Y1) & (sK2 @ Y0 @ Y1)))))))) | ~spl0_3),
% 0.22/0.43 inference(boolean_simplification,[],[f179])).
% 0.22/0.43 thf(f179,plain,(
% 0.22/0.43 (((!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((sK3 @ Y1) & (sK2 @ Y0 @ Y1))))))) & $true) = $false) | ~spl0_3),
% 0.22/0.43 inference(superposition,[],[f170,f175])).
% 0.22/0.43 thf(f175,plain,(
% 0.22/0.43 ($true = (?? @ $i @ sK3)) | ~spl0_3),
% 0.22/0.43 inference(binary_proxy_clausification,[],[f173])).
% 0.22/0.43 thf(f173,plain,(
% 0.22/0.43 (((?? @ $i @ sK3) => (?? @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y1) => (~ (sK2 @ Y0 @ Y1))))) & (sK3 @ Y0))))) = $false) | ~spl0_3),
% 0.22/0.43 inference(beta_eta_normalization,[],[f172])).
% 0.22/0.43 thf(f172,plain,(
% 0.22/0.43 (((^[Y0 : $i > $o]: ((?? @ $i @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (~ (sK2 @ Y1 @ Y2))))) & (Y0 @ Y1)))))) @ sK3) = $false) | ~spl0_3),
% 0.22/0.43 inference(sigma_clausification,[],[f155])).
% 0.22/0.43 thf(f155,plain,(
% 0.22/0.43 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((?? @ $i @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (~ (sK2 @ Y1 @ Y2))))) & (Y0 @ Y1)))))))) | ~spl0_3),
% 0.22/0.43 inference(avatar_component_clause,[],[f154])).
% 0.22/0.43 thf(f154,plain,(
% 0.22/0.43 spl0_3 <=> ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((?? @ $i @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (~ (sK2 @ Y1 @ Y2))))) & (Y0 @ Y1))))))))),
% 0.22/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.22/0.43 thf(f170,plain,(
% 0.22/0.43 ( ! [X1 : $i > $o] : (($false = ((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((X1 @ Y1) & (sK2 @ Y0 @ Y1))))))) & (?? @ $i @ X1)))) ) | ~spl0_3),
% 0.22/0.43 inference(beta_eta_normalization,[],[f169])).
% 0.22/0.43 thf(f169,plain,(
% 0.22/0.43 ( ! [X1 : $i > $o] : (($false = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) & (sK2 @ Y1 @ Y2))))))) & (?? @ $i @ Y0))) @ X1))) ) | ~spl0_3),
% 0.22/0.43 inference(pi_clausification,[],[f164])).
% 0.22/0.43 thf(f164,plain,(
% 0.22/0.43 ((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) & (sK2 @ Y1 @ Y2))))))) & (?? @ $i @ Y0)))) = $false) | ~spl0_3),
% 0.22/0.43 inference(not_proxy_clausification,[],[f160])).
% 0.22/0.43 thf(f160,plain,(
% 0.22/0.43 ($false != (~ (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) & (sK2 @ Y1 @ Y2))))))) & (?? @ $i @ Y0)))))) | ~spl0_3),
% 0.22/0.43 inference(backward_demodulation,[],[f143,f155])).
% 0.22/0.43 thf(f143,plain,(
% 0.22/0.43 ((~ (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) & (sK2 @ Y1 @ Y2))))))) & (?? @ $i @ Y0))))) != (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((?? @ $i @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (~ (sK2 @ Y1 @ Y2))))) & (Y0 @ Y1))))))))),
% 0.22/0.43 inference(beta_eta_normalization,[],[f142])).
% 0.22/0.43 thf(f142,plain,(
% 0.22/0.43 (((^[Y0 : $i > $i > $o]: (~ (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (?? @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) & (Y0 @ Y2 @ Y3))))))) & (?? @ $i @ Y1)))))) @ sK2) != ((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((?? @ $i @ Y1) => (?? @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (~ (Y0 @ Y2 @ Y3))))) & (Y1 @ Y2)))))))) @ sK2))),
% 0.22/0.43 inference(negative_extensionality,[],[f141])).
% 0.22/0.43 thf(f141,plain,(
% 0.22/0.43 ((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((?? @ $i @ Y1) => (?? @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (~ (Y0 @ Y2 @ Y3))))) & (Y1 @ Y2)))))))) != (^[Y0 : $i > $i > $o]: (~ (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (?? @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) & (Y0 @ Y2 @ Y3))))))) & (?? @ $i @ Y1)))))))),
% 0.22/0.43 inference(equality_proxy_clausification,[],[f138])).
% 0.22/0.43 thf(f138,plain,(
% 0.22/0.43 (((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((?? @ $i @ Y1) => (?? @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (~ (Y0 @ Y2 @ Y3))))) & (Y1 @ Y2)))))))) = (^[Y0 : $i > $i > $o]: (~ (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (?? @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) & (Y0 @ Y2 @ Y3))))))) & (?? @ $i @ Y1))))))) = $false)),
% 0.22/0.43 inference(not_proxy_clausification,[],[f137])).
% 0.22/0.43 thf(f137,plain,(
% 0.22/0.43 ((~ ((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((?? @ $i @ Y1) => (?? @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (~ (Y0 @ Y2 @ Y3))))) & (Y1 @ Y2)))))))) = (^[Y0 : $i > $i > $o]: (~ (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (?? @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) & (Y0 @ Y2 @ Y3))))))) & (?? @ $i @ Y1)))))))) = $true)),
% 0.22/0.43 inference(beta_eta_normalization,[],[f136])).
% 0.22/0.43 thf(f136,plain,(
% 0.22/0.43 ($true = (~ ((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((?? @ $i @ (^[Y2 : $i]: (Y1 @ Y2))) => (?? @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (~ (Y0 @ Y2 @ Y3))))) & (Y1 @ Y2)))))))) = (^[Y0 : $i > $i > $o]: (~ (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (?? @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) & (Y0 @ Y2 @ Y3))))))) & (?? @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))))))))))),
% 0.22/0.43 inference(definition_unfolding,[],[f101,f104])).
% 0.22/0.43 thf(f104,plain,(
% 0.22/0.43 (term = (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((?? @ $i @ (^[Y2 : $i]: (Y1 @ Y2))) => (?? @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (~ (Y0 @ Y2 @ Y3))))) & (Y1 @ Y2)))))))))),
% 0.22/0.43 inference(cnf_transformation,[],[f42])).
% 0.22/0.43 thf(f42,plain,(
% 0.22/0.43 (term = (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((?? @ $i @ (^[Y2 : $i]: (Y1 @ Y2))) => (?? @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (~ (Y0 @ Y2 @ Y3))))) & (Y1 @ Y2)))))))))),
% 0.22/0.43 inference(fool_elimination,[],[f41])).
% 0.22/0.43 thf(f41,plain,(
% 0.22/0.43 ((^[X0 : $i > $i > $o] : (! [X1 : $i > $o] : (? [X2] : (X1 @ X2) => ? [X3] : ((X1 @ X3) & ! [X4] : ((X1 @ X4) => ~(X0 @ X3 @ X4)))))) = term)),
% 0.22/0.43 inference(rectify,[],[f20])).
% 0.22/0.43 thf(f20,axiom,(
% 0.22/0.43 ((^[X0 : $i > $i > $o] : (! [X6 : $i > $o] : (? [X2] : (X6 @ X2) => ? [X2] : ((X6 @ X2) & ! [X3] : ((X6 @ X3) => ~(X0 @ X2 @ X3)))))) = term)),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',terminating)).
% 0.22/0.43 thf(f101,plain,(
% 0.22/0.43 ($true = (~ (term = (^[Y0 : $i > $i > $o]: (~ (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (?? @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) & (Y0 @ Y2 @ Y3))))))) & (?? @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))))))))))),
% 0.22/0.43 inference(cnf_transformation,[],[f84])).
% 0.22/0.43 thf(f84,plain,(
% 0.22/0.43 ($true = (~ (term = (^[Y0 : $i > $i > $o]: (~ (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (?? @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) & (Y0 @ Y2 @ Y3))))))) & (?? @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))))))))))),
% 0.22/0.43 inference(fool_elimination,[],[f83])).
% 0.22/0.43 thf(f83,plain,(
% 0.22/0.43 ~(term = (^[X0 : $i > $i > $o] : (~? [X1 : $i > $o] : (? [X2] : (X1 @ X2) & ! [X3] : ((X1 @ X3) => ? [X4] : ((X0 @ X3 @ X4) & (X1 @ X4)))))))),
% 0.22/0.43 inference(rectify,[],[f31])).
% 0.22/0.43 thf(f31,negated_conjecture,(
% 0.22/0.43 ~(term = (^[X0 : $i > $i > $o] : (~? [X6 : $i > $o] : (? [X2] : (X6 @ X2) & ! [X2] : ((X6 @ X2) => ? [X3] : ((X0 @ X2 @ X3) & (X6 @ X3)))))))),
% 0.22/0.43 inference(negated_conjecture,[],[f30])).
% 0.22/0.43 thf(f30,conjecture,(
% 0.22/0.43 (term = (^[X0 : $i > $i > $o] : (~? [X6 : $i > $o] : (? [X2] : (X6 @ X2) & ! [X2] : ((X6 @ X2) => ? [X3] : ((X0 @ X2 @ X3) & (X6 @ X3)))))))),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',alternative_formulation_of_terminating)).
% 0.22/0.43 thf(f185,plain,(
% 0.22/0.43 ( ! [X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => (~ (sK2 @ X1 @ Y0))))) & (sK3 @ X1)) = $false)) ) | ~spl0_3),
% 0.22/0.43 inference(beta_eta_normalization,[],[f181])).
% 0.22/0.43 thf(f181,plain,(
% 0.22/0.43 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y1) => (~ (sK2 @ Y0 @ Y1))))) & (sK3 @ Y0))) @ X1) = $false)) ) | ~spl0_3),
% 0.22/0.43 inference(pi_clausification,[],[f177])).
% 0.22/0.43 thf(f177,plain,(
% 0.22/0.43 ((?? @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y1) => (~ (sK2 @ Y0 @ Y1))))) & (sK3 @ Y0)))) = $false) | ~spl0_3),
% 0.22/0.43 inference(boolean_simplification,[],[f176])).
% 0.22/0.43 thf(f176,plain,(
% 0.22/0.43 (($true => (?? @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y1) => (~ (sK2 @ Y0 @ Y1))))) & (sK3 @ Y0))))) = $false) | ~spl0_3),
% 0.22/0.43 inference(backward_demodulation,[],[f173,f175])).
% 0.22/0.43 thf(f220,plain,(
% 0.22/0.43 ( ! [X1 : $i] : ((((sK3 @ X1) & (sK2 @ sK6 @ X1)) = $false)) ) | ~spl0_3),
% 0.22/0.43 inference(beta_eta_normalization,[],[f216])).
% 0.22/0.43 thf(f216,plain,(
% 0.22/0.43 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((sK3 @ Y0) & (sK2 @ sK6 @ Y0))) @ X1) = $false)) ) | ~spl0_3),
% 0.22/0.43 inference(pi_clausification,[],[f213])).
% 0.22/0.43 thf(f213,plain,(
% 0.22/0.43 ((?? @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) & (sK2 @ sK6 @ Y0)))) = $false) | ~spl0_3),
% 0.22/0.43 inference(boolean_simplification,[],[f212])).
% 0.22/0.43 thf(f212,plain,(
% 0.22/0.43 (($true => (?? @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) & (sK2 @ sK6 @ Y0))))) = $false) | ~spl0_3),
% 0.22/0.43 inference(backward_demodulation,[],[f205,f211])).
% 0.22/0.43 thf(f248,plain,(
% 0.22/0.43 ((~ (sK2 @ sK6 @ sK8)) = $false) | ~spl0_3),
% 0.22/0.43 inference(binary_proxy_clausification,[],[f242])).
% 0.22/0.43 thf(f159,plain,(
% 0.22/0.43 spl0_3 | spl0_4),
% 0.22/0.43 inference(avatar_split_clause,[],[f145,f157,f154])).
% 0.22/0.43 thf(f145,plain,(
% 0.22/0.43 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((?? @ $i @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (~ (sK2 @ Y1 @ Y2))))) & (Y0 @ Y1)))))))) | ($false = (~ (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) & (sK2 @ Y1 @ Y2))))))) & (?? @ $i @ Y0))))))),
% 0.22/0.43 inference(binary_proxy_clausification,[],[f143])).
% 0.22/0.43 thf(f152,plain,(
% 0.22/0.43 spl0_1 | spl0_2),
% 0.22/0.43 inference(avatar_split_clause,[],[f144,f150,f147])).
% 0.22/0.43 thf(f144,plain,(
% 0.22/0.43 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((?? @ $i @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (~ (sK2 @ Y1 @ Y2))))) & (Y0 @ Y1)))))))) | ($true = (~ (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) & (sK2 @ Y1 @ Y2))))))) & (?? @ $i @ Y0))))))),
% 0.22/0.43 inference(binary_proxy_clausification,[],[f143])).
% 0.22/0.43 % SZS output end Proof for theBenchmark
% 0.22/0.43 % (32644)------------------------------
% 0.22/0.43 % (32644)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (32644)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (32644)Memory used [KB]: 5884
% 0.22/0.43 % (32644)Time elapsed: 0.032 s
% 0.22/0.43 % (32644)Instructions burned: 41 (million)
% 0.22/0.43 % (32644)------------------------------
% 0.22/0.43 % (32644)------------------------------
% 0.22/0.43 % (32631)Success in time 0.057 s
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------