TSTP Solution File: SYN978^4 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN978^4 : TPTP v8.1.2. Released v4.0.0.
% 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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 12:08:02 EDT 2024
% Result : Theorem 0.21s 0.40s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN978^4 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n016.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 17:11:23 EDT 2024
% 0.21/0.36 % CPUTime :
% 0.21/0.36 This is a TH0_THM_EQU_NAR problem
% 0.21/0.36 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/tmp/tmp.gDnv3ZnwHl/Vampire---4.8_16733
% 0.21/0.38 % (16924)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.21/0.38 % (16922)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on Vampire---4 for (2999ds/27Mi)
% 0.21/0.38 % (16925)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.21/0.38 % (16926)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.21/0.38 % (16921)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.21/0.38 % (16923)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.21/0.38 % (16923)Instruction limit reached!
% 0.21/0.38 % (16923)------------------------------
% 0.21/0.38 % (16923)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (16924)Instruction limit reached!
% 0.21/0.38 % (16924)------------------------------
% 0.21/0.38 % (16924)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (16923)Termination reason: Unknown
% 0.21/0.38 % (16923)Termination phase: shuffling
% 0.21/0.38
% 0.21/0.38 % (16923)Memory used [KB]: 1023
% 0.21/0.38 % (16923)Time elapsed: 0.003 s
% 0.21/0.38 % (16923)Instructions burned: 2 (million)
% 0.21/0.38 % (16923)------------------------------
% 0.21/0.38 % (16923)------------------------------
% 0.21/0.38 % (16924)Termination reason: Unknown
% 0.21/0.38 % (16924)Termination phase: Property scanning
% 0.21/0.38
% 0.21/0.38 % (16924)Memory used [KB]: 1023
% 0.21/0.38 % (16924)Time elapsed: 0.004 s
% 0.21/0.38 % (16924)Instructions burned: 3 (million)
% 0.21/0.38 % (16924)------------------------------
% 0.21/0.38 % (16924)------------------------------
% 0.21/0.38 % (16921)Instruction limit reached!
% 0.21/0.38 % (16921)------------------------------
% 0.21/0.38 % (16921)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (16925)Refutation not found, incomplete strategy
% 0.21/0.38 % (16925)------------------------------
% 0.21/0.38 % (16925)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (16925)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.38
% 0.21/0.38
% 0.21/0.38 % (16925)Memory used [KB]: 5500
% 0.21/0.38 % (16925)Time elapsed: 0.004 s
% 0.21/0.38 % (16925)Instructions burned: 4 (million)
% 0.21/0.38 % (16925)------------------------------
% 0.21/0.38 % (16925)------------------------------
% 0.21/0.38 % (16921)Termination reason: Unknown
% 0.21/0.38 % (16921)Termination phase: Saturation
% 0.21/0.38
% 0.21/0.38 % (16921)Memory used [KB]: 1023
% 0.21/0.38 % (16921)Time elapsed: 0.005 s
% 0.21/0.38 % (16921)Instructions burned: 5 (million)
% 0.21/0.38 % (16921)------------------------------
% 0.21/0.38 % (16921)------------------------------
% 0.21/0.38 % (16927)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.38 % (16920)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.21/0.38 % (16927)Instruction limit reached!
% 0.21/0.38 % (16927)------------------------------
% 0.21/0.38 % (16927)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (16927)Termination reason: Unknown
% 0.21/0.38 % (16927)Termination phase: Clausification
% 0.21/0.38
% 0.21/0.38 % (16927)Memory used [KB]: 1023
% 0.21/0.38 % (16927)Time elapsed: 0.004 s
% 0.21/0.38 % (16927)Instructions burned: 3 (million)
% 0.21/0.38 % (16927)------------------------------
% 0.21/0.38 % (16927)------------------------------
% 0.21/0.39 % (16926)Instruction limit reached!
% 0.21/0.39 % (16926)------------------------------
% 0.21/0.39 % (16926)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (16926)Termination reason: Unknown
% 0.21/0.39 % (16926)Termination phase: Saturation
% 0.21/0.39
% 0.21/0.39 % (16926)Memory used [KB]: 5628
% 0.21/0.39 % (16926)Time elapsed: 0.014 s
% 0.21/0.39 % (16926)Instructions burned: 18 (million)
% 0.21/0.39 % (16926)------------------------------
% 0.21/0.39 % (16926)------------------------------
% 0.21/0.39 % (16939)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on Vampire---4 for (2999ds/37Mi)
% 0.21/0.39 % (16940)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on Vampire---4 for (2999ds/15Mi)
% 0.21/0.40 % (16922)First to succeed.
% 0.21/0.40 % (16941)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.40 % (16943)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (2999ds/1041Mi)
% 0.21/0.40 % (16945)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.21/0.40 % (16941)Instruction limit reached!
% 0.21/0.40 % (16941)------------------------------
% 0.21/0.40 % (16941)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (16941)Termination reason: Unknown
% 0.21/0.40 % (16941)Termination phase: Property scanning
% 0.21/0.40
% 0.21/0.40 % (16941)Memory used [KB]: 1023
% 0.21/0.40 % (16941)Time elapsed: 0.004 s
% 0.21/0.40 % (16941)Instructions burned: 3 (million)
% 0.21/0.40 % (16941)------------------------------
% 0.21/0.40 % (16941)------------------------------
% 0.21/0.40 % (16945)Instruction limit reached!
% 0.21/0.40 % (16945)------------------------------
% 0.21/0.40 % (16945)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (16945)Termination reason: Unknown
% 0.21/0.40 % (16945)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (16945)Memory used [KB]: 1023
% 0.21/0.40 % (16945)Time elapsed: 0.006 s
% 0.21/0.40 % (16945)Instructions burned: 7 (million)
% 0.21/0.40 % (16945)------------------------------
% 0.21/0.40 % (16945)------------------------------
% 0.21/0.40 % (16920)Also succeeded, but the first one will report.
% 0.21/0.40 % (16922)Refutation found. Thanks to Tanya!
% 0.21/0.40 % SZS status Theorem for Vampire---4
% 0.21/0.40 % SZS output start Proof for Vampire---4
% 0.21/0.40 thf(func_def_0, type, irel: $i > $i > $o).
% 0.21/0.40 thf(func_def_2, type, mnot: ($i > $o) > $i > $o).
% 0.21/0.40 thf(func_def_3, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.40 thf(func_def_4, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.40 thf(func_def_5, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.40 thf(func_def_6, type, mbox_s4: ($i > $o) > $i > $o).
% 0.21/0.40 thf(func_def_7, type, iatom: ($i > $o) > $i > $o).
% 0.21/0.40 thf(func_def_8, type, inot: ($i > $o) > $i > $o).
% 0.21/0.40 thf(func_def_9, type, itrue: $i > $o).
% 0.21/0.40 thf(func_def_10, type, ifalse: $i > $o).
% 0.21/0.40 thf(func_def_11, type, iand: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.40 thf(func_def_12, type, ior: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.40 thf(func_def_13, type, iimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.40 thf(func_def_14, type, iimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.40 thf(func_def_15, type, iequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.40 thf(func_def_16, type, ixor: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.40 thf(func_def_17, type, ivalid: ($i > $o) > $o).
% 0.21/0.40 thf(func_def_18, type, isatisfiable: ($i > $o) > $o).
% 0.21/0.40 thf(func_def_19, type, icountersatisfiable: ($i > $o) > $o).
% 0.21/0.40 thf(func_def_20, type, iinvalid: ($i > $o) > $o).
% 0.21/0.40 thf(func_def_21, type, a: $i > $o).
% 0.21/0.40 thf(func_def_22, type, b: $i > $o).
% 0.21/0.40 thf(func_def_23, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.21/0.40 thf(f386,plain,(
% 0.21/0.40 $false),
% 0.21/0.40 inference(avatar_sat_refutation,[],[f173,f178,f187,f192,f200,f205,f213,f218,f284,f308,f312,f351,f385])).
% 0.21/0.40 thf(f385,plain,(
% 0.21/0.40 ~spl0_5 | ~spl0_6 | ~spl0_11),
% 0.21/0.40 inference(avatar_contradiction_clause,[],[f384])).
% 0.21/0.40 thf(f384,plain,(
% 0.21/0.40 $false | (~spl0_5 | ~spl0_6 | ~spl0_11)),
% 0.21/0.40 inference(trivial_inequality_removal,[],[f383])).
% 0.21/0.40 thf(f383,plain,(
% 0.21/0.40 ($true = $false) | (~spl0_5 | ~spl0_6 | ~spl0_11)),
% 0.21/0.40 inference(forward_demodulation,[],[f375,f186])).
% 0.21/0.40 thf(f186,plain,(
% 0.21/0.40 ((a @ sK6) = $false) | ~spl0_5),
% 0.21/0.40 inference(avatar_component_clause,[],[f184])).
% 0.21/0.40 thf(f184,plain,(
% 0.21/0.40 spl0_5 <=> ((a @ sK6) = $false)),
% 0.21/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 0.21/0.40 thf(f375,plain,(
% 0.21/0.40 ($true = (a @ sK6)) | (~spl0_6 | ~spl0_11)),
% 0.21/0.40 inference(trivial_inequality_removal,[],[f371])).
% 0.21/0.40 thf(f371,plain,(
% 0.21/0.40 ($true = (a @ sK6)) | ($true = $false) | (~spl0_6 | ~spl0_11)),
% 0.21/0.40 inference(superposition,[],[f212,f191])).
% 0.21/0.40 thf(f191,plain,(
% 0.21/0.40 ($true = (irel @ sK2 @ sK6)) | ~spl0_6),
% 0.21/0.40 inference(avatar_component_clause,[],[f189])).
% 0.21/0.40 thf(f189,plain,(
% 0.21/0.40 spl0_6 <=> ($true = (irel @ sK2 @ sK6))),
% 0.21/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
% 0.21/0.40 thf(f212,plain,(
% 0.21/0.40 ( ! [X1 : $i] : (($false = (irel @ sK2 @ X1)) | ($true = (a @ X1))) ) | ~spl0_11),
% 0.21/0.40 inference(avatar_component_clause,[],[f211])).
% 0.21/0.40 thf(f211,plain,(
% 0.21/0.40 spl0_11 <=> ! [X1] : (($true = (a @ X1)) | ($false = (irel @ sK2 @ X1)))),
% 0.21/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])).
% 0.21/0.40 thf(f351,plain,(
% 0.21/0.40 ~spl0_8 | ~spl0_9),
% 0.21/0.40 inference(avatar_contradiction_clause,[],[f350])).
% 0.21/0.40 thf(f350,plain,(
% 0.21/0.40 $false | (~spl0_8 | ~spl0_9)),
% 0.21/0.40 inference(trivial_inequality_removal,[],[f349])).
% 0.21/0.40 thf(f349,plain,(
% 0.21/0.40 ($true = $false) | (~spl0_8 | ~spl0_9)),
% 0.21/0.40 inference(forward_demodulation,[],[f342,f199])).
% 0.21/0.40 thf(f199,plain,(
% 0.21/0.40 ((b @ sK4) = $false) | ~spl0_8),
% 0.21/0.40 inference(avatar_component_clause,[],[f197])).
% 0.21/0.40 thf(f197,plain,(
% 0.21/0.40 spl0_8 <=> ((b @ sK4) = $false)),
% 0.21/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
% 0.21/0.40 thf(f342,plain,(
% 0.21/0.40 ($true = (b @ sK4)) | ~spl0_9),
% 0.21/0.40 inference(trivial_inequality_removal,[],[f336])).
% 0.21/0.40 thf(f336,plain,(
% 0.21/0.40 ($true = $false) | ($true = (b @ sK4)) | ~spl0_9),
% 0.21/0.40 inference(superposition,[],[f316,f112])).
% 0.21/0.40 thf(f112,plain,(
% 0.21/0.40 ( ! [X1 : $i] : (((irel @ sK1 @ X1) = $false) | ($true = (b @ X1))) )),
% 0.21/0.40 inference(binary_proxy_clausification,[],[f110])).
% 0.21/0.40 thf(f110,plain,(
% 0.21/0.40 ( ! [X1 : $i] : (($true = ((b @ X1) & (a @ X1))) | ((irel @ sK1 @ X1) = $false)) )),
% 0.21/0.40 inference(binary_proxy_clausification,[],[f109])).
% 0.21/0.40 thf(f109,plain,(
% 0.21/0.40 ( ! [X1 : $i] : (($true = ((irel @ sK1 @ X1) => ((b @ X1) & (a @ X1))))) )),
% 0.21/0.40 inference(beta_eta_normalization,[],[f108])).
% 0.21/0.40 thf(f108,plain,(
% 0.21/0.40 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((irel @ sK1 @ Y0) => ((b @ Y0) & (a @ Y0)))) @ X1))) )),
% 0.21/0.40 inference(pi_clausification,[],[f107])).
% 0.21/0.40 thf(f107,plain,(
% 0.21/0.40 ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => ((b @ Y0) & (a @ Y0))))))),
% 0.21/0.40 inference(not_proxy_clausification,[],[f106])).
% 0.21/0.40 thf(f106,plain,(
% 0.21/0.40 ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => ((b @ Y0) & (a @ Y0)))))) = $false)),
% 0.21/0.40 inference(binary_proxy_clausification,[],[f104])).
% 0.21/0.40 thf(f104,plain,(
% 0.21/0.40 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => ((b @ Y0) & (a @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a @ Y1))))) & ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b @ Y1)))))))))))),
% 0.21/0.40 inference(beta_eta_normalization,[],[f103])).
% 0.21/0.40 thf(f103,plain,(
% 0.21/0.40 (((^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((b @ Y1) & (a @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a @ Y2))))) & ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b @ Y2))))))))))) @ sK1) = $false)),
% 0.21/0.40 inference(sigma_clausification,[],[f102])).
% 0.21/0.40 thf(f102,plain,(
% 0.21/0.40 ($true != (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((b @ Y1) & (a @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a @ Y2))))) & ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b @ Y2)))))))))))))),
% 0.21/0.40 inference(beta_eta_normalization,[],[f101])).
% 0.21/0.40 thf(f101,plain,(
% 0.21/0.40 ($true != ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) & (Y2 @ Y4))))))) @ Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: (Y0)) @ a) @ ((^[Y0 : $i > $o]: (Y0)) @ b)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ Y2 @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: ((Y6 @ Y8) | (Y7 @ Y8))))))) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (~ (Y6 @ Y7))))) @ Y4) @ Y5)))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((irel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ Y2) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((irel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ Y3))))) @ Y0 @ Y1) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: ((Y6 @ Y8) | (Y7 @ Y8))))))) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (~ (Y6 @ Y7))))) @ Y4) @ Y5)))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((irel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ Y2) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((irel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ Y3))))) @ Y1 @ Y0))))) @ ((^[Y0 : $i > $o]: (Y0)) @ a) @ ((^[Y0 : $i > $o]: (Y0)) @ b)))))),
% 0.21/0.40 inference(definition_unfolding,[],[f80,f84,f97,f95,f91,f91,f99,f91,f91])).
% 0.21/0.40 thf(f99,plain,(
% 0.21/0.40 (iequiv = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ Y2 @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: ((Y6 @ Y8) | (Y7 @ Y8))))))) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (~ (Y6 @ Y7))))) @ Y4) @ Y5)))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((irel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ Y2) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((irel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ Y3))))) @ Y0 @ Y1) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: ((Y6 @ Y8) | (Y7 @ Y8))))))) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (~ (Y6 @ Y7))))) @ Y4) @ Y5)))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((irel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ Y2) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((irel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ Y3))))) @ Y1 @ Y0))))))),
% 0.21/0.40 inference(definition_unfolding,[],[f90,f95,f97,f97])).
% 0.21/0.40 thf(f90,plain,(
% 0.21/0.40 (iequiv = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (iand @ (iimplies @ Y0 @ Y1) @ (iimplies @ Y1 @ Y0))))))),
% 0.21/0.40 inference(cnf_transformation,[],[f42])).
% 0.21/0.40 thf(f42,plain,(
% 0.21/0.40 (iequiv = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (iand @ (iimplies @ Y0 @ Y1) @ (iimplies @ Y1 @ Y0))))))),
% 0.21/0.40 inference(fool_elimination,[],[f41])).
% 0.21/0.40 thf(f41,plain,(
% 0.21/0.40 ((^[X0 : $i > $o, X1 : $i > $o] : (iand @ (iimplies @ X0 @ X1) @ (iimplies @ X1 @ X0))) = iequiv)),
% 0.21/0.40 inference(rectify,[],[f16])).
% 0.21/0.40 thf(f16,axiom,(
% 0.21/0.40 ((^[X5 : $i > $o, X7 : $i > $o] : (iand @ (iimplies @ X5 @ X7) @ (iimplies @ X7 @ X5))) = iequiv)),
% 0.21/0.40 file('/export/starexec/sandbox2/tmp/tmp.gDnv3ZnwHl/Vampire---4.8_16733',iequiv)).
% 0.21/0.40 thf(f91,plain,(
% 0.21/0.40 (iatom = (^[Y0 : $i > $o]: (Y0)))),
% 0.21/0.40 inference(cnf_transformation,[],[f60])).
% 0.21/0.40 thf(f60,plain,(
% 0.21/0.40 (iatom = (^[Y0 : $i > $o]: (Y0)))),
% 0.21/0.40 inference(fool_elimination,[],[f59])).
% 0.21/0.40 thf(f59,plain,(
% 0.21/0.40 ((^[X0 : $i > $o] : (X0)) = iatom)),
% 0.21/0.40 inference(rectify,[],[f8])).
% 0.21/0.40 thf(f8,axiom,(
% 0.21/0.40 ((^[X5 : $i > $o] : (X5)) = iatom)),
% 0.21/0.40 file('/export/starexec/sandbox2/tmp/tmp.gDnv3ZnwHl/Vampire---4.8_16733',iatom)).
% 0.21/0.40 thf(f95,plain,(
% 0.21/0.40 (iand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) & (Y2 @ Y4))))))) @ Y0 @ Y1)))))),
% 0.21/0.40 inference(definition_unfolding,[],[f83,f75])).
% 0.21/0.40 thf(f75,plain,(
% 0.21/0.40 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
% 0.21/0.40 inference(cnf_transformation,[],[f64])).
% 0.21/0.40 thf(f64,plain,(
% 0.21/0.40 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
% 0.21/0.40 inference(fool_elimination,[],[f63])).
% 0.21/0.40 thf(f63,plain,(
% 0.21/0.40 (mand = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) & (X1 @ X2))))),
% 0.21/0.40 inference(rectify,[],[f5])).
% 0.21/0.40 thf(f5,axiom,(
% 0.21/0.40 (mand = (^[X0 : $i > $o, X1 : $i > $o, X3 : $i] : ((X0 @ X3) & (X1 @ X3))))),
% 0.21/0.40 file('/export/starexec/sandbox2/tmp/tmp.gDnv3ZnwHl/Vampire---4.8_16733',mand)).
% 0.21/0.40 thf(f83,plain,(
% 0.21/0.40 (iand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mand @ Y0 @ Y1)))))),
% 0.21/0.40 inference(cnf_transformation,[],[f40])).
% 0.21/0.40 thf(f40,plain,(
% 0.21/0.40 (iand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mand @ Y0 @ Y1)))))),
% 0.21/0.40 inference(fool_elimination,[],[f39])).
% 0.21/0.40 thf(f39,plain,(
% 0.21/0.40 ((^[X0 : $i > $o, X1 : $i > $o] : (mand @ X0 @ X1)) = iand)),
% 0.21/0.40 inference(rectify,[],[f12])).
% 0.21/0.40 thf(f12,axiom,(
% 0.21/0.40 ((^[X5 : $i > $o, X7 : $i > $o] : (mand @ X5 @ X7)) = iand)),
% 0.21/0.40 file('/export/starexec/sandbox2/tmp/tmp.gDnv3ZnwHl/Vampire---4.8_16733',iand)).
% 0.21/0.40 thf(f97,plain,(
% 0.21/0.40 (iimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))))),
% 0.21/0.40 inference(definition_unfolding,[],[f85,f92,f70,f70])).
% 0.21/0.40 thf(f70,plain,(
% 0.21/0.40 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.21/0.40 inference(cnf_transformation,[],[f32])).
% 0.21/0.40 thf(f32,plain,(
% 0.21/0.40 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.21/0.40 inference(fool_elimination,[],[f31])).
% 0.21/0.40 thf(f31,plain,(
% 0.21/0.40 ((^[X0 : $i > $o, X1 : $i] : (! [X2] : ((irel @ X1 @ X2) => (X0 @ X2)))) = mbox_s4)),
% 0.21/0.40 inference(rectify,[],[f7])).
% 0.21/0.40 thf(f7,axiom,(
% 0.21/0.40 ((^[X5 : $i > $o, X0 : $i] : (! [X1] : ((irel @ X0 @ X1) => (X5 @ X1)))) = mbox_s4)),
% 0.21/0.40 file('/export/starexec/sandbox2/tmp/tmp.gDnv3ZnwHl/Vampire---4.8_16733',mbox_s4)).
% 0.21/0.40 thf(f92,plain,(
% 0.21/0.40 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.21/0.40 inference(definition_unfolding,[],[f89,f88,f74])).
% 0.21/0.40 thf(f74,plain,(
% 0.21/0.40 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.21/0.40 inference(cnf_transformation,[],[f52])).
% 0.21/0.40 thf(f52,plain,(
% 0.21/0.40 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.21/0.40 inference(fool_elimination,[],[f51])).
% 0.21/0.40 thf(f51,plain,(
% 0.21/0.40 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.21/0.40 inference(rectify,[],[f3])).
% 0.21/0.40 thf(f3,axiom,(
% 0.21/0.40 ((^[X0 : $i > $o, X3 : $i] : (~(X0 @ X3))) = mnot)),
% 0.21/0.40 file('/export/starexec/sandbox2/tmp/tmp.gDnv3ZnwHl/Vampire---4.8_16733',mnot)).
% 0.21/0.40 thf(f88,plain,(
% 0.21/0.40 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.21/0.40 inference(cnf_transformation,[],[f58])).
% 0.21/0.40 thf(f58,plain,(
% 0.21/0.40 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.21/0.40 inference(fool_elimination,[],[f57])).
% 0.21/0.40 thf(f57,plain,(
% 0.21/0.40 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
% 0.21/0.40 inference(rectify,[],[f4])).
% 0.21/0.40 thf(f4,axiom,(
% 0.21/0.40 (mor = (^[X0 : $i > $o, X1 : $i > $o, X3 : $i] : ((X1 @ X3) | (X0 @ X3))))),
% 0.21/0.40 file('/export/starexec/sandbox2/tmp/tmp.gDnv3ZnwHl/Vampire---4.8_16733',mor)).
% 0.21/0.40 thf(f89,plain,(
% 0.21/0.40 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.21/0.40 inference(cnf_transformation,[],[f30])).
% 0.21/0.40 thf(f30,plain,(
% 0.21/0.40 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.21/0.40 inference(fool_elimination,[],[f29])).
% 0.21/0.40 thf(f29,plain,(
% 0.21/0.40 (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 0.21/0.40 inference(rectify,[],[f6])).
% 0.21/0.40 thf(f6,axiom,(
% 0.21/0.40 (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))),
% 0.21/0.40 file('/export/starexec/sandbox2/tmp/tmp.gDnv3ZnwHl/Vampire---4.8_16733',mimplies)).
% 0.21/0.40 thf(f85,plain,(
% 0.21/0.40 (iimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mimplies @ (mbox_s4 @ Y0) @ (mbox_s4 @ Y1))))))),
% 0.21/0.40 inference(cnf_transformation,[],[f38])).
% 0.21/0.40 thf(f38,plain,(
% 0.21/0.40 (iimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mimplies @ (mbox_s4 @ Y0) @ (mbox_s4 @ Y1))))))),
% 0.21/0.40 inference(fool_elimination,[],[f37])).
% 0.21/0.40 thf(f37,plain,(
% 0.21/0.40 (iimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mimplies @ (mbox_s4 @ X0) @ (mbox_s4 @ X1))))),
% 0.21/0.40 inference(rectify,[],[f14])).
% 0.21/0.40 thf(f14,axiom,(
% 0.21/0.40 (iimplies = (^[X5 : $i > $o, X7 : $i > $o] : (mimplies @ (mbox_s4 @ X5) @ (mbox_s4 @ X7))))),
% 0.21/0.40 file('/export/starexec/sandbox2/tmp/tmp.gDnv3ZnwHl/Vampire---4.8_16733',iimplies)).
% 0.21/0.40 thf(f84,plain,(
% 0.21/0.40 (ivalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.21/0.40 inference(cnf_transformation,[],[f36])).
% 0.21/0.40 thf(f36,plain,(
% 0.21/0.40 (ivalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.21/0.40 inference(fool_elimination,[],[f35])).
% 0.21/0.40 thf(f35,plain,(
% 0.21/0.40 (ivalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.21/0.40 inference(rectify,[],[f18])).
% 0.21/0.40 thf(f18,axiom,(
% 0.21/0.40 (ivalid = (^[X8 : $i > $o] : (! [X6] : (X8 @ X6))))),
% 0.21/0.40 file('/export/starexec/sandbox2/tmp/tmp.gDnv3ZnwHl/Vampire---4.8_16733',ivalid)).
% 0.21/0.40 thf(f80,plain,(
% 0.21/0.40 ((ivalid @ (iimplies @ (iand @ (iatom @ a) @ (iatom @ b)) @ (iequiv @ (iatom @ a) @ (iatom @ b)))) != $true)),
% 0.21/0.40 inference(cnf_transformation,[],[f67])).
% 0.21/0.40 thf(f67,plain,(
% 0.21/0.40 ((ivalid @ (iimplies @ (iand @ (iatom @ a) @ (iatom @ b)) @ (iequiv @ (iatom @ a) @ (iatom @ b)))) != $true)),
% 0.21/0.40 inference(flattening,[],[f46])).
% 0.21/0.40 thf(f46,plain,(
% 0.21/0.40 ~((ivalid @ (iimplies @ (iand @ (iatom @ a) @ (iatom @ b)) @ (iequiv @ (iatom @ a) @ (iatom @ b)))) = $true)),
% 0.21/0.40 inference(fool_elimination,[],[f45])).
% 0.21/0.40 thf(f45,plain,(
% 0.21/0.40 ~(ivalid @ (iimplies @ (iand @ (iatom @ a) @ (iatom @ b)) @ (iequiv @ (iatom @ a) @ (iatom @ b))))),
% 0.21/0.40 inference(rectify,[],[f23])).
% 0.21/0.40 thf(f23,negated_conjecture,(
% 0.21/0.40 ~(ivalid @ (iimplies @ (iand @ (iatom @ a) @ (iatom @ b)) @ (iequiv @ (iatom @ a) @ (iatom @ b))))),
% 0.21/0.40 inference(negated_conjecture,[],[f22])).
% 0.21/0.40 thf(f22,conjecture,(
% 0.21/0.40 (ivalid @ (iimplies @ (iand @ (iatom @ a) @ (iatom @ b)) @ (iequiv @ (iatom @ a) @ (iatom @ b))))),
% 0.21/0.40 file('/export/starexec/sandbox2/tmp/tmp.gDnv3ZnwHl/Vampire---4.8_16733',prove_this)).
% 0.21/0.40 thf(f316,plain,(
% 0.21/0.40 ($true = (irel @ sK1 @ sK4)) | ~spl0_9),
% 0.21/0.40 inference(trivial_inequality_removal,[],[f313])).
% 0.21/0.40 thf(f313,plain,(
% 0.21/0.40 ($true != $true) | ($true = (irel @ sK1 @ sK4)) | ~spl0_9),
% 0.21/0.40 inference(superposition,[],[f222,f204])).
% 0.21/0.40 thf(f204,plain,(
% 0.21/0.40 ($true = (irel @ sK2 @ sK4)) | ~spl0_9),
% 0.21/0.40 inference(avatar_component_clause,[],[f202])).
% 0.21/0.40 thf(f202,plain,(
% 0.21/0.40 spl0_9 <=> ($true = (irel @ sK2 @ sK4))),
% 0.21/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
% 0.21/0.40 thf(f222,plain,(
% 0.21/0.40 ( ! [X0 : $i] : (($true != (irel @ sK2 @ X0)) | ($true = (irel @ sK1 @ X0))) )),
% 0.21/0.40 inference(trivial_inequality_removal,[],[f221])).
% 0.21/0.40 thf(f221,plain,(
% 0.21/0.40 ( ! [X0 : $i] : (($true != (irel @ sK2 @ X0)) | ($true != $true) | ($true = (irel @ sK1 @ X0))) )),
% 0.21/0.40 inference(superposition,[],[f73,f116])).
% 0.21/0.40 thf(f116,plain,(
% 0.21/0.40 ($true = (irel @ sK1 @ sK2))),
% 0.21/0.40 inference(binary_proxy_clausification,[],[f114])).
% 0.21/0.40 thf(f114,plain,(
% 0.21/0.40 (((irel @ sK1 @ sK2) => (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (b @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (b @ Y0))))))) = $false)),
% 0.21/0.40 inference(beta_eta_normalization,[],[f113])).
% 0.21/0.40 thf(f113,plain,(
% 0.21/0.40 (((^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a @ Y1))))) & ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b @ Y1)))))))) @ sK2) = $false)),
% 0.21/0.40 inference(sigma_clausification,[],[f105])).
% 0.21/0.40 thf(f105,plain,(
% 0.21/0.40 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a @ Y1))))) & ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b @ Y1))))))))) = $false)),
% 0.21/0.40 inference(binary_proxy_clausification,[],[f104])).
% 0.21/0.40 thf(f73,plain,(
% 0.21/0.40 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (irel @ X2 @ X0)) | ($true = (irel @ X2 @ X1)) | ((irel @ X0 @ X1) != $true)) )),
% 0.21/0.40 inference(cnf_transformation,[],[f69])).
% 0.21/0.40 thf(f69,plain,(
% 0.21/0.40 ! [X0,X1,X2] : (($true = (irel @ X2 @ X1)) | ((irel @ X0 @ X1) != $true) | ($true != (irel @ X2 @ X0)))),
% 0.21/0.40 inference(flattening,[],[f68])).
% 0.21/0.40 thf(f68,plain,(
% 0.21/0.40 ! [X0,X1,X2] : (($true = (irel @ X2 @ X1)) | (($true != (irel @ X2 @ X0)) | ((irel @ X0 @ X1) != $true)))),
% 0.21/0.40 inference(ennf_transformation,[],[f26])).
% 0.21/0.40 thf(f26,plain,(
% 0.21/0.40 ! [X0,X1,X2] : ((($true = (irel @ X2 @ X0)) & ((irel @ X0 @ X1) = $true)) => ($true = (irel @ X2 @ X1)))),
% 0.21/0.40 inference(fool_elimination,[],[f25])).
% 0.21/0.40 thf(f25,plain,(
% 0.21/0.40 ! [X0,X1,X2] : (((irel @ X2 @ X0) & (irel @ X0 @ X1)) => (irel @ X2 @ X1))),
% 0.21/0.40 inference(rectify,[],[f2])).
% 0.21/0.40 thf(f2,axiom,(
% 0.21/0.40 ! [X1,X2,X0] : (((irel @ X0 @ X1) & (irel @ X1 @ X2)) => (irel @ X0 @ X2))),
% 0.21/0.40 file('/export/starexec/sandbox2/tmp/tmp.gDnv3ZnwHl/Vampire---4.8_16733',trans_axiom)).
% 0.21/0.40 thf(f312,plain,(
% 0.21/0.40 ~spl0_1 | ~spl0_4 | ~spl0_7),
% 0.21/0.40 inference(avatar_contradiction_clause,[],[f311])).
% 0.21/0.40 thf(f311,plain,(
% 0.21/0.40 $false | (~spl0_1 | ~spl0_4 | ~spl0_7)),
% 0.21/0.40 inference(trivial_inequality_removal,[],[f310])).
% 0.21/0.40 thf(f310,plain,(
% 0.21/0.40 ($true = $false) | (~spl0_1 | ~spl0_4 | ~spl0_7)),
% 0.21/0.40 inference(backward_demodulation,[],[f252,f168])).
% 0.21/0.40 thf(f168,plain,(
% 0.21/0.40 ((b @ sK5) = $false) | ~spl0_1),
% 0.21/0.40 inference(avatar_component_clause,[],[f166])).
% 0.21/0.40 thf(f166,plain,(
% 0.21/0.40 spl0_1 <=> ((b @ sK5) = $false)),
% 0.21/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.21/0.40 thf(f252,plain,(
% 0.21/0.40 ($true = (b @ sK5)) | (~spl0_4 | ~spl0_7)),
% 0.21/0.40 inference(trivial_inequality_removal,[],[f246])).
% 0.21/0.40 thf(f246,plain,(
% 0.21/0.40 ($true = $false) | ($true = (b @ sK5)) | (~spl0_4 | ~spl0_7)),
% 0.21/0.40 inference(superposition,[],[f195,f182])).
% 0.21/0.40 thf(f182,plain,(
% 0.21/0.40 ($true = (irel @ sK2 @ sK5)) | ~spl0_4),
% 0.21/0.40 inference(avatar_component_clause,[],[f180])).
% 0.21/0.40 thf(f180,plain,(
% 0.21/0.40 spl0_4 <=> ($true = (irel @ sK2 @ sK5))),
% 0.21/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 0.21/0.40 thf(f195,plain,(
% 0.21/0.40 ( ! [X1 : $i] : (($false = (irel @ sK2 @ X1)) | ($true = (b @ X1))) ) | ~spl0_7),
% 0.21/0.40 inference(avatar_component_clause,[],[f194])).
% 0.21/0.40 thf(f194,plain,(
% 0.21/0.40 spl0_7 <=> ! [X1] : (($false = (irel @ sK2 @ X1)) | ($true = (b @ X1)))),
% 0.21/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])).
% 0.21/0.40 thf(f308,plain,(
% 0.21/0.40 ~spl0_10 | ~spl0_12),
% 0.21/0.40 inference(avatar_contradiction_clause,[],[f307])).
% 0.21/0.40 thf(f307,plain,(
% 0.21/0.40 $false | (~spl0_10 | ~spl0_12)),
% 0.21/0.40 inference(trivial_inequality_removal,[],[f306])).
% 0.21/0.40 thf(f306,plain,(
% 0.21/0.40 ($true = $false) | (~spl0_10 | ~spl0_12)),
% 0.21/0.40 inference(forward_demodulation,[],[f299,f209])).
% 0.21/0.40 thf(f209,plain,(
% 0.21/0.40 ((a @ sK3) = $false) | ~spl0_10),
% 0.21/0.40 inference(avatar_component_clause,[],[f207])).
% 0.21/0.41 thf(f207,plain,(
% 0.21/0.41 spl0_10 <=> ((a @ sK3) = $false)),
% 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
% 0.21/0.41 thf(f299,plain,(
% 0.21/0.41 ($true = (a @ sK3)) | ~spl0_12),
% 0.21/0.41 inference(trivial_inequality_removal,[],[f294])).
% 0.21/0.41 thf(f294,plain,(
% 0.21/0.41 ($true = (a @ sK3)) | ($true = $false) | ~spl0_12),
% 0.21/0.41 inference(superposition,[],[f291,f111])).
% 0.21/0.41 thf(f111,plain,(
% 0.21/0.41 ( ! [X1 : $i] : (((irel @ sK1 @ X1) = $false) | ($true = (a @ X1))) )),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f110])).
% 0.21/0.41 thf(f291,plain,(
% 0.21/0.41 ($true = (irel @ sK1 @ sK3)) | ~spl0_12),
% 0.21/0.41 inference(trivial_inequality_removal,[],[f286])).
% 0.21/0.41 thf(f286,plain,(
% 0.21/0.41 ($true = (irel @ sK1 @ sK3)) | ($true != $true) | ~spl0_12),
% 0.21/0.41 inference(superposition,[],[f222,f217])).
% 0.21/0.41 thf(f217,plain,(
% 0.21/0.41 ($true = (irel @ sK2 @ sK3)) | ~spl0_12),
% 0.21/0.41 inference(avatar_component_clause,[],[f215])).
% 0.21/0.41 thf(f215,plain,(
% 0.21/0.41 spl0_12 <=> ($true = (irel @ sK2 @ sK3))),
% 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])).
% 0.21/0.41 thf(f284,plain,(
% 0.21/0.41 ~spl0_2 | ~spl0_3 | ~spl0_11),
% 0.21/0.41 inference(avatar_contradiction_clause,[],[f283])).
% 0.21/0.41 thf(f283,plain,(
% 0.21/0.41 $false | (~spl0_2 | ~spl0_3 | ~spl0_11)),
% 0.21/0.41 inference(trivial_inequality_removal,[],[f282])).
% 0.21/0.41 thf(f282,plain,(
% 0.21/0.41 ($true = $false) | (~spl0_2 | ~spl0_3 | ~spl0_11)),
% 0.21/0.41 inference(forward_demodulation,[],[f275,f172])).
% 0.21/0.41 thf(f172,plain,(
% 0.21/0.41 ((a @ sK7) = $false) | ~spl0_2),
% 0.21/0.41 inference(avatar_component_clause,[],[f170])).
% 0.21/0.41 thf(f170,plain,(
% 0.21/0.41 spl0_2 <=> ((a @ sK7) = $false)),
% 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.21/0.41 thf(f275,plain,(
% 0.21/0.41 ($true = (a @ sK7)) | (~spl0_3 | ~spl0_11)),
% 0.21/0.41 inference(trivial_inequality_removal,[],[f267])).
% 0.21/0.41 thf(f267,plain,(
% 0.21/0.41 ($true = $false) | ($true = (a @ sK7)) | (~spl0_3 | ~spl0_11)),
% 0.21/0.41 inference(superposition,[],[f212,f177])).
% 0.21/0.41 thf(f177,plain,(
% 0.21/0.41 ($true = (irel @ sK2 @ sK7)) | ~spl0_3),
% 0.21/0.41 inference(avatar_component_clause,[],[f175])).
% 0.21/0.41 thf(f175,plain,(
% 0.21/0.41 spl0_3 <=> ($true = (irel @ sK2 @ sK7))),
% 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.21/0.41 thf(f218,plain,(
% 0.21/0.41 spl0_12 | spl0_11),
% 0.21/0.41 inference(avatar_split_clause,[],[f137,f211,f215])).
% 0.21/0.41 thf(f137,plain,(
% 0.21/0.41 ( ! [X1 : $i] : (($true = (a @ X1)) | ($false = (irel @ sK2 @ X1)) | ($true = (irel @ sK2 @ sK3))) )),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f136])).
% 0.21/0.41 thf(f136,plain,(
% 0.21/0.41 ( ! [X1 : $i] : (($true = (irel @ sK2 @ sK3)) | ($true = ((irel @ sK2 @ X1) => (a @ X1)))) )),
% 0.21/0.41 inference(beta_eta_normalization,[],[f135])).
% 0.21/0.41 thf(f135,plain,(
% 0.21/0.41 ( ! [X1 : $i] : (($true = (irel @ sK2 @ sK3)) | ($true = ((^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a @ Y0))) @ X1))) )),
% 0.21/0.41 inference(pi_clausification,[],[f134])).
% 0.21/0.41 thf(f134,plain,(
% 0.21/0.41 ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a @ Y0))))) | ($true = (irel @ sK2 @ sK3))),
% 0.21/0.41 inference(not_proxy_clausification,[],[f133])).
% 0.21/0.41 thf(f133,plain,(
% 0.21/0.41 ($true = (irel @ sK2 @ sK3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a @ Y0))))) = $false)),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f131])).
% 0.21/0.41 thf(f131,plain,(
% 0.21/0.41 (((irel @ sK2 @ sK3) => (a @ sK3)) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a @ Y0))))) = $false)),
% 0.21/0.41 inference(beta_eta_normalization,[],[f130])).
% 0.21/0.41 thf(f130,plain,(
% 0.21/0.41 (((^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a @ Y0))) @ sK3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a @ Y0))))) = $false)),
% 0.21/0.41 inference(sigma_clausification,[],[f120])).
% 0.21/0.41 thf(f120,plain,(
% 0.21/0.41 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a @ Y0)))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a @ Y0))))) = $false)),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f119])).
% 0.21/0.41 thf(f119,plain,(
% 0.21/0.41 (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (b @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a @ Y0))))) = $false)),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f117])).
% 0.21/0.41 thf(f117,plain,(
% 0.21/0.41 (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (b @ Y0))))) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (b @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a @ Y0))))) = $false)),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f115])).
% 0.21/0.41 thf(f115,plain,(
% 0.21/0.41 ((((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (b @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (b @ Y0)))))) = $false)),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f114])).
% 0.21/0.41 thf(f213,plain,(
% 0.21/0.41 spl0_10 | spl0_11),
% 0.21/0.41 inference(avatar_split_clause,[],[f141,f211,f207])).
% 0.21/0.41 thf(f141,plain,(
% 0.21/0.41 ( ! [X1 : $i] : (($true = (a @ X1)) | ((a @ sK3) = $false) | ($false = (irel @ sK2 @ X1))) )),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f140])).
% 0.21/0.41 thf(f140,plain,(
% 0.21/0.41 ( ! [X1 : $i] : (($true = ((irel @ sK2 @ X1) => (a @ X1))) | ((a @ sK3) = $false)) )),
% 0.21/0.41 inference(beta_eta_normalization,[],[f139])).
% 0.21/0.41 thf(f139,plain,(
% 0.21/0.41 ( ! [X1 : $i] : (((a @ sK3) = $false) | ($true = ((^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a @ Y0))) @ X1))) )),
% 0.21/0.41 inference(pi_clausification,[],[f138])).
% 0.21/0.41 thf(f138,plain,(
% 0.21/0.41 ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a @ Y0))))) | ((a @ sK3) = $false)),
% 0.21/0.41 inference(not_proxy_clausification,[],[f132])).
% 0.21/0.41 thf(f132,plain,(
% 0.21/0.41 ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a @ Y0))))) = $false) | ((a @ sK3) = $false)),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f131])).
% 0.21/0.41 thf(f205,plain,(
% 0.21/0.41 spl0_7 | spl0_9),
% 0.21/0.41 inference(avatar_split_clause,[],[f151,f202,f194])).
% 0.21/0.41 thf(f151,plain,(
% 0.21/0.41 ( ! [X1 : $i] : (($true = (irel @ sK2 @ sK4)) | ($true = (b @ X1)) | ($false = (irel @ sK2 @ X1))) )),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f150])).
% 0.21/0.41 thf(f150,plain,(
% 0.21/0.41 ( ! [X1 : $i] : (($true = ((irel @ sK2 @ X1) => (b @ X1))) | ($true = (irel @ sK2 @ sK4))) )),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f148])).
% 0.21/0.41 thf(f148,plain,(
% 0.21/0.41 ( ! [X1 : $i] : ((((irel @ sK2 @ sK4) => (b @ sK4)) = $false) | ($true = ((irel @ sK2 @ X1) => (b @ X1)))) )),
% 0.21/0.41 inference(beta_eta_normalization,[],[f147])).
% 0.21/0.41 thf(f147,plain,(
% 0.21/0.41 ( ! [X1 : $i] : ((((irel @ sK2 @ sK4) => (b @ sK4)) = $false) | ($true = ((^[Y0 : $i]: ((irel @ sK2 @ Y0) => (b @ Y0))) @ X1))) )),
% 0.21/0.41 inference(pi_clausification,[],[f146])).
% 0.21/0.41 thf(f146,plain,(
% 0.21/0.41 ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (b @ Y0))))) | (((irel @ sK2 @ sK4) => (b @ sK4)) = $false)),
% 0.21/0.41 inference(beta_eta_normalization,[],[f145])).
% 0.21/0.41 thf(f145,plain,(
% 0.21/0.41 (((^[Y0 : $i]: ((irel @ sK2 @ Y0) => (b @ Y0))) @ sK4) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (b @ Y0)))))),
% 0.21/0.41 inference(sigma_clausification,[],[f144])).
% 0.21/0.41 thf(f144,plain,(
% 0.21/0.41 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (b @ Y0)))) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (b @ Y0)))))),
% 0.21/0.41 inference(not_proxy_clausification,[],[f143])).
% 0.21/0.41 thf(f143,plain,(
% 0.21/0.41 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (b @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (b @ Y0)))) = $false)),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f118])).
% 0.21/0.41 thf(f118,plain,(
% 0.21/0.41 (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (b @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (b @ Y0)))) = $false)),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f117])).
% 0.21/0.41 thf(f200,plain,(
% 0.21/0.41 spl0_7 | spl0_8),
% 0.21/0.41 inference(avatar_split_clause,[],[f152,f197,f194])).
% 0.21/0.41 thf(f152,plain,(
% 0.21/0.41 ( ! [X1 : $i] : (($false = (irel @ sK2 @ X1)) | ($true = (b @ X1)) | ((b @ sK4) = $false)) )),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f149])).
% 0.21/0.41 thf(f149,plain,(
% 0.21/0.41 ( ! [X1 : $i] : (((b @ sK4) = $false) | ($true = ((irel @ sK2 @ X1) => (b @ X1)))) )),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f148])).
% 0.21/0.41 thf(f192,plain,(
% 0.21/0.41 spl0_6 | spl0_4),
% 0.21/0.41 inference(avatar_split_clause,[],[f160,f180,f189])).
% 0.21/0.41 thf(f160,plain,(
% 0.21/0.41 ($true = (irel @ sK2 @ sK6)) | ($true = (irel @ sK2 @ sK5))),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f158])).
% 0.21/0.41 thf(f158,plain,(
% 0.21/0.41 (((irel @ sK2 @ sK6) => (a @ sK6)) = $false) | ($true = (irel @ sK2 @ sK5))),
% 0.21/0.41 inference(beta_eta_normalization,[],[f157])).
% 0.21/0.41 thf(f157,plain,(
% 0.21/0.41 (((^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a @ Y0))) @ sK6) = $false) | ($true = (irel @ sK2 @ sK5))),
% 0.21/0.41 inference(sigma_clausification,[],[f156])).
% 0.21/0.41 thf(f156,plain,(
% 0.21/0.41 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a @ Y0)))) = $false) | ($true = (irel @ sK2 @ sK5))),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f154])).
% 0.21/0.41 thf(f154,plain,(
% 0.21/0.41 (((irel @ sK2 @ sK5) => (b @ sK5)) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a @ Y0)))) = $false)),
% 0.21/0.41 inference(beta_eta_normalization,[],[f153])).
% 0.21/0.41 thf(f153,plain,(
% 0.21/0.41 (((^[Y0 : $i]: ((irel @ sK2 @ Y0) => (b @ Y0))) @ sK5) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a @ Y0)))) = $false)),
% 0.21/0.41 inference(sigma_clausification,[],[f142])).
% 0.21/0.41 thf(f142,plain,(
% 0.21/0.41 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (b @ Y0)))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a @ Y0)))) = $false)),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f118])).
% 0.21/0.41 thf(f187,plain,(
% 0.21/0.41 spl0_4 | spl0_5),
% 0.21/0.41 inference(avatar_split_clause,[],[f159,f184,f180])).
% 0.21/0.41 thf(f159,plain,(
% 0.21/0.41 ($true = (irel @ sK2 @ sK5)) | ((a @ sK6) = $false)),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f158])).
% 0.21/0.41 thf(f178,plain,(
% 0.21/0.41 spl0_1 | spl0_3),
% 0.21/0.41 inference(avatar_split_clause,[],[f164,f175,f166])).
% 0.21/0.41 thf(f164,plain,(
% 0.21/0.41 ((b @ sK5) = $false) | ($true = (irel @ sK2 @ sK7))),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f162])).
% 0.21/0.41 thf(f162,plain,(
% 0.21/0.41 ((b @ sK5) = $false) | (((irel @ sK2 @ sK7) => (a @ sK7)) = $false)),
% 0.21/0.41 inference(beta_eta_normalization,[],[f161])).
% 0.21/0.41 thf(f161,plain,(
% 0.21/0.41 (((^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a @ Y0))) @ sK7) = $false) | ((b @ sK5) = $false)),
% 0.21/0.41 inference(sigma_clausification,[],[f155])).
% 0.21/0.41 thf(f155,plain,(
% 0.21/0.41 ((b @ sK5) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a @ Y0)))) = $false)),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f154])).
% 0.21/0.41 thf(f173,plain,(
% 0.21/0.41 spl0_1 | spl0_2),
% 0.21/0.41 inference(avatar_split_clause,[],[f163,f170,f166])).
% 0.21/0.41 thf(f163,plain,(
% 0.21/0.41 ((b @ sK5) = $false) | ((a @ sK7) = $false)),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f162])).
% 0.21/0.41 % SZS output end Proof for Vampire---4
% 0.21/0.41 % (16922)------------------------------
% 0.21/0.41 % (16922)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (16922)Termination reason: Refutation
% 0.21/0.41
% 0.21/0.41 % (16922)Memory used [KB]: 5756
% 0.21/0.41 % (16922)Time elapsed: 0.026 s
% 0.21/0.41 % (16922)Instructions burned: 23 (million)
% 0.21/0.41 % (16922)------------------------------
% 0.21/0.41 % (16922)------------------------------
% 0.21/0.41 % (16916)Success in time 0.026 s
% 0.21/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------