TSTP Solution File: SWV426^4 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV426^4 : TPTP v8.1.2. 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 : n011.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 10:34:29 EDT 2024
% Result : Theorem 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV426^4 : TPTP v8.1.2. Released v3.6.0.
% 0.07/0.15 % 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 : n011.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 : Fri May 3 21:13:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.15/0.37 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/tmp/tmp.fKoXQ34Uan/Vampire---4.8_26922
% 0.15/0.39 % (27166)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)
% 0.15/0.39 % (27163)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)
% 0.15/0.39 % (27165)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.39 % (27164)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)
% 0.15/0.39 % (27167)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)
% 0.15/0.39 % (27168)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.15/0.39 % (27169)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)
% 0.15/0.39 % (27165)Instruction limit reached!
% 0.15/0.39 % (27165)------------------------------
% 0.15/0.39 % (27165)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (27165)Termination reason: Unknown
% 0.15/0.39 % (27166)Instruction limit reached!
% 0.15/0.39 % (27166)------------------------------
% 0.15/0.39 % (27166)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (27165)Termination phase: Property scanning
% 0.15/0.39
% 0.15/0.39 % (27165)Memory used [KB]: 1023
% 0.15/0.39 % (27165)Time elapsed: 0.003 s
% 0.15/0.39 % (27165)Instructions burned: 3 (million)
% 0.15/0.39 % (27165)------------------------------
% 0.15/0.39 % (27165)------------------------------
% 0.15/0.39 % (27166)Termination reason: Unknown
% 0.15/0.39 % (27166)Termination phase: Property scanning
% 0.15/0.39
% 0.15/0.39 % (27166)Memory used [KB]: 1023
% 0.15/0.39 % (27166)Time elapsed: 0.004 s
% 0.15/0.39 % (27166)Instructions burned: 3 (million)
% 0.15/0.39 % (27166)------------------------------
% 0.15/0.39 % (27166)------------------------------
% 0.15/0.39 % (27169)Instruction limit reached!
% 0.15/0.39 % (27169)------------------------------
% 0.15/0.39 % (27169)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (27169)Termination reason: Unknown
% 0.15/0.39 % (27169)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (27169)Memory used [KB]: 1023
% 0.15/0.39 % (27162)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)
% 0.15/0.39 % (27169)Time elapsed: 0.003 s
% 0.15/0.39 % (27169)Instructions burned: 3 (million)
% 0.15/0.39 % (27169)------------------------------
% 0.15/0.39 % (27169)------------------------------
% 0.15/0.39 % (27163)Instruction limit reached!
% 0.15/0.39 % (27163)------------------------------
% 0.15/0.39 % (27163)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (27163)Termination reason: Unknown
% 0.15/0.39 % (27163)Termination phase: Function definition elimination
% 0.15/0.39
% 0.15/0.39 % (27163)Memory used [KB]: 1023
% 0.15/0.39 % (27163)Time elapsed: 0.004 s
% 0.15/0.39 % (27163)Instructions burned: 5 (million)
% 0.15/0.39 % (27163)------------------------------
% 0.15/0.39 % (27163)------------------------------
% 0.15/0.39 % (27167)Refutation not found, incomplete strategy
% 0.15/0.39 % (27167)------------------------------
% 0.15/0.39 % (27167)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (27167)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.39
% 0.15/0.39
% 0.15/0.39 % (27167)Memory used [KB]: 5500
% 0.15/0.39 % (27167)Time elapsed: 0.006 s
% 0.15/0.39 % (27167)Instructions burned: 6 (million)
% 0.15/0.39 % (27167)------------------------------
% 0.15/0.39 % (27167)------------------------------
% 0.15/0.40 % (27168)Instruction limit reached!
% 0.15/0.40 % (27168)------------------------------
% 0.15/0.40 % (27168)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (27168)Termination reason: Unknown
% 0.15/0.40 % (27168)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (27168)Memory used [KB]: 5628
% 0.15/0.40 % (27168)Time elapsed: 0.012 s
% 0.15/0.40 % (27168)Instructions burned: 18 (million)
% 0.15/0.40 % (27168)------------------------------
% 0.15/0.40 % (27168)------------------------------
% 0.15/0.40 % (27164)Instruction limit reached!
% 0.15/0.40 % (27164)------------------------------
% 0.15/0.40 % (27164)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (27170)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)
% 0.15/0.40 % (27164)Termination reason: Unknown
% 0.15/0.40 % (27164)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (27171)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)
% 0.15/0.40 % (27164)Memory used [KB]: 5756
% 0.15/0.40 % (27164)Time elapsed: 0.018 s
% 0.15/0.40 % (27164)Instructions burned: 27 (million)
% 0.15/0.40 % (27164)------------------------------
% 0.15/0.40 % (27164)------------------------------
% 0.15/0.40 % (27172)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)
% 0.15/0.40 % (27173)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)
% 0.15/0.41 % (27172)Instruction limit reached!
% 0.15/0.41 % (27172)------------------------------
% 0.15/0.41 % (27172)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (27172)Termination reason: Unknown
% 0.15/0.41 % (27172)Termination phase: Property scanning
% 0.15/0.41
% 0.15/0.41 % (27172)Memory used [KB]: 1023
% 0.15/0.41 % (27172)Time elapsed: 0.004 s
% 0.15/0.41 % (27172)Instructions burned: 4 (million)
% 0.15/0.41 % (27172)------------------------------
% 0.15/0.41 % (27172)------------------------------
% 0.15/0.41 % (27174)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)
% 0.22/0.41 % (27174)Instruction limit reached!
% 0.22/0.41 % (27174)------------------------------
% 0.22/0.41 % (27174)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (27174)Termination reason: Unknown
% 0.22/0.41 % (27174)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (27174)Memory used [KB]: 1023
% 0.22/0.41 % (27174)Time elapsed: 0.006 s
% 0.22/0.41 % (27174)Instructions burned: 8 (million)
% 0.22/0.41 % (27174)------------------------------
% 0.22/0.41 % (27174)------------------------------
% 0.22/0.41 % (27171)Instruction limit reached!
% 0.22/0.41 % (27171)------------------------------
% 0.22/0.41 % (27171)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (27171)Termination reason: Unknown
% 0.22/0.41 % (27171)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (27171)Memory used [KB]: 5628
% 0.22/0.41 % (27171)Time elapsed: 0.010 s
% 0.22/0.41 % (27171)Instructions burned: 15 (million)
% 0.22/0.41 % (27171)------------------------------
% 0.22/0.41 % (27171)------------------------------
% 0.22/0.41 % (27175)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.22/0.42 % (27176)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 Vampire---4 for (2999ds/3Mi)
% 0.22/0.42 % (27177)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 Vampire---4 for (2999ds/3Mi)
% 0.22/0.42 % (27175)Instruction limit reached!
% 0.22/0.42 % (27175)------------------------------
% 0.22/0.42 % (27175)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (27175)Termination reason: Unknown
% 0.22/0.42 % (27175)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (27175)Memory used [KB]: 5628
% 0.22/0.42 % (27175)Time elapsed: 0.011 s
% 0.22/0.42 % (27175)Instructions burned: 16 (million)
% 0.22/0.42 % (27175)------------------------------
% 0.22/0.42 % (27175)------------------------------
% 0.22/0.42 % (27176)Instruction limit reached!
% 0.22/0.42 % (27176)------------------------------
% 0.22/0.42 % (27176)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (27176)Termination reason: Unknown
% 0.22/0.42 % (27176)Termination phase: Property scanning
% 0.22/0.42
% 0.22/0.42 % (27176)Memory used [KB]: 1023
% 0.22/0.42 % (27176)Time elapsed: 0.004 s
% 0.22/0.42 % (27176)Instructions burned: 4 (million)
% 0.22/0.42 % (27176)------------------------------
% 0.22/0.42 % (27176)------------------------------
% 0.22/0.42 % (27177)Instruction limit reached!
% 0.22/0.42 % (27177)------------------------------
% 0.22/0.42 % (27177)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (27177)Termination reason: Unknown
% 0.22/0.42 % (27177)Termination phase: Property scanning
% 0.22/0.42
% 0.22/0.42 % (27177)Memory used [KB]: 1023
% 0.22/0.42 % (27177)Time elapsed: 0.004 s
% 0.22/0.42 % (27177)Instructions burned: 3 (million)
% 0.22/0.42 % (27177)------------------------------
% 0.22/0.42 % (27177)------------------------------
% 0.22/0.43 % (27170)Instruction limit reached!
% 0.22/0.43 % (27170)------------------------------
% 0.22/0.43 % (27170)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (27170)Termination reason: Unknown
% 0.22/0.43 % (27170)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (27170)Memory used [KB]: 5884
% 0.22/0.43 % (27170)Time elapsed: 0.025 s
% 0.22/0.43 % (27170)Instructions burned: 38 (million)
% 0.22/0.43 % (27170)------------------------------
% 0.22/0.43 % (27170)------------------------------
% 0.22/0.43 % (27178)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.22/0.43 % (27179)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.22/0.43 % (27179)Instruction limit reached!
% 0.22/0.43 % (27179)------------------------------
% 0.22/0.43 % (27179)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (27179)Termination reason: Unknown
% 0.22/0.43 % (27179)Termination phase: Function definition elimination
% 0.22/0.43
% 0.22/0.43 % (27179)Memory used [KB]: 1023
% 0.22/0.43 % (27179)Time elapsed: 0.004 s
% 0.22/0.43 % (27179)Instructions burned: 4 (million)
% 0.22/0.43 % (27179)------------------------------
% 0.22/0.43 % (27179)------------------------------
% 0.22/0.43 % (27178)Instruction limit reached!
% 0.22/0.43 % (27178)------------------------------
% 0.22/0.43 % (27178)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (27173)First to succeed.
% 0.22/0.43 % (27178)Termination reason: Unknown
% 0.22/0.43 % (27178)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (27178)Memory used [KB]: 5500
% 0.22/0.43 % (27178)Time elapsed: 0.006 s
% 0.22/0.43 % (27178)Instructions burned: 8 (million)
% 0.22/0.43 % (27178)------------------------------
% 0.22/0.43 % (27178)------------------------------
% 0.22/0.44 % (27184)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.22/0.44 % (27173)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Theorem for Vampire---4
% 0.22/0.44 % SZS output start Proof for Vampire---4
% 0.22/0.44 thf(type_def_6, type, individuals: $tType).
% 0.22/0.44 thf(func_def_1, type, prop_a: $i > $o).
% 0.22/0.44 thf(func_def_2, type, prop_b: $i > $o).
% 0.22/0.44 thf(func_def_3, type, prop_c: $i > $o).
% 0.22/0.44 thf(func_def_4, type, mfalse: $i > $o).
% 0.22/0.44 thf(func_def_5, type, mtrue: $i > $o).
% 0.22/0.44 thf(func_def_6, type, mnot: ($i > $o) > $i > $o).
% 0.22/0.44 thf(func_def_8, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.44 thf(func_def_9, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.44 thf(func_def_10, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.44 thf(func_def_11, type, miff: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.44 thf(func_def_12, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.44 thf(func_def_13, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.44 thf(func_def_14, type, individuals: $tType).
% 0.22/0.44 thf(func_def_15, type, mall: (individuals > $i > $o) > $i > $o).
% 0.22/0.44 thf(func_def_16, type, mexists: (individuals > $i > $o) > $i > $o).
% 0.22/0.44 thf(func_def_17, type, mvalid: ($i > $o) > $o).
% 0.22/0.44 thf(func_def_18, type, msatisfiable: ($i > $o) > $o).
% 0.22/0.44 thf(func_def_19, type, mcountersatisfiable: ($i > $o) > $o).
% 0.22/0.44 thf(func_def_20, type, minvalid: ($i > $o) > $o).
% 0.22/0.44 thf(func_def_21, type, rel: $i > $i > $o).
% 0.22/0.44 thf(func_def_22, type, icl_atom: ($i > $o) > $i > $o).
% 0.22/0.44 thf(func_def_23, type, icl_princ: ($i > $o) > $i > $o).
% 0.22/0.44 thf(func_def_24, type, icl_and: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.44 thf(func_def_25, type, icl_or: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.44 thf(func_def_26, type, icl_impl: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.44 thf(func_def_27, type, icl_true: $i > $o).
% 0.22/0.44 thf(func_def_28, type, icl_false: $i > $o).
% 0.22/0.44 thf(func_def_29, type, icl_says: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.44 thf(func_def_30, type, iclval: ($i > $o) > $o).
% 0.22/0.44 thf(func_def_31, type, s: $i > $o).
% 0.22/0.44 thf(func_def_32, type, a: $i > $o).
% 0.22/0.44 thf(func_def_33, type, b: $i > $o).
% 0.22/0.44 thf(func_def_49, type, ph1: !>[X0: $tType]:(X0)).
% 0.22/0.44 thf(f283,plain,(
% 0.22/0.44 $false),
% 0.22/0.44 inference(avatar_sat_refutation,[],[f204,f243,f282])).
% 0.22/0.44 thf(f282,plain,(
% 0.22/0.44 ~spl0_1),
% 0.22/0.44 inference(avatar_contradiction_clause,[],[f281])).
% 0.22/0.44 thf(f281,plain,(
% 0.22/0.44 $false | ~spl0_1),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f280])).
% 0.22/0.44 thf(f280,plain,(
% 0.22/0.44 ($true = $false) | ~spl0_1),
% 0.22/0.44 inference(forward_demodulation,[],[f279,f189])).
% 0.22/0.44 thf(f189,plain,(
% 0.22/0.44 ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK5 @ Y0) => (s @ Y0)))) = $false)),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f176])).
% 0.22/0.44 thf(f176,plain,(
% 0.22/0.44 ($false = ((b @ sK5) | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK5 @ Y0) => (s @ Y0))))))),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f172])).
% 0.22/0.44 thf(f172,plain,(
% 0.22/0.44 ($false = ((rel @ sK4 @ sK5) => ((b @ sK5) | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK5 @ Y0) => (s @ Y0)))))))),
% 0.22/0.44 inference(beta_eta_normalization,[],[f171])).
% 0.22/0.44 thf(f171,plain,(
% 0.22/0.44 (((^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((b @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))))) @ sK5) = $false)),
% 0.22/0.44 inference(sigma_clausification,[],[f167])).
% 0.22/0.44 thf(f167,plain,(
% 0.22/0.44 ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((b @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))))))))),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f157])).
% 0.22/0.44 thf(f157,plain,(
% 0.22/0.44 (((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((a @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((b @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))))))) = $false)),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f156])).
% 0.22/0.44 thf(f156,plain,(
% 0.22/0.44 (((rel @ sK3 @ sK4) => ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((a @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((b @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))))))))) = $false)),
% 0.22/0.44 inference(beta_eta_normalization,[],[f155])).
% 0.22/0.44 thf(f155,plain,(
% 0.22/0.44 ($false = ((^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((a @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))))))))) @ sK4))),
% 0.22/0.44 inference(sigma_clausification,[],[f143])).
% 0.22/0.44 thf(f143,plain,(
% 0.22/0.44 ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((a @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))))))))))))),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f142])).
% 0.22/0.44 thf(f142,plain,(
% 0.22/0.44 (((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (a @ Y1)) | (b @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((a @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))))))))))) = $false)),
% 0.22/0.44 inference(boolean_simplification,[],[f141])).
% 0.22/0.44 thf(f141,plain,(
% 0.22/0.44 (($true => ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (a @ Y1)) | (b @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((a @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))))))))))))) = $false)),
% 0.22/0.44 inference(backward_demodulation,[],[f138,f140])).
% 0.22/0.44 thf(f140,plain,(
% 0.22/0.44 ($true = (rel @ sK2 @ sK3))),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f138])).
% 0.22/0.44 thf(f138,plain,(
% 0.22/0.44 ($false = ((rel @ sK2 @ sK3) => ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (a @ Y1)) | (b @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((a @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))))))))))))))),
% 0.22/0.44 inference(beta_eta_normalization,[],[f137])).
% 0.22/0.44 thf(f137,plain,(
% 0.22/0.44 ($false = ((^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((~ (a @ Y2)) | (b @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((a @ Y2) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((b @ Y2) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3))))))))))))))) @ sK3))),
% 0.22/0.44 inference(sigma_clausification,[],[f136])).
% 0.22/0.44 thf(f136,plain,(
% 0.22/0.44 ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((~ (a @ Y2)) | (b @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((a @ Y2) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((b @ Y2) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3)))))))))))))))) = $false)),
% 0.22/0.44 inference(beta_eta_normalization,[],[f135])).
% 0.22/0.44 thf(f135,plain,(
% 0.22/0.44 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((~ (a @ Y3)) | (b @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((a @ Y3) | (!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (s @ Y4))))))))) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((b @ Y3) | (!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (s @ Y4))))))))))))))))) @ sK2))),
% 0.22/0.44 inference(sigma_clausification,[],[f132])).
% 0.22/0.44 thf(f132,plain,(
% 0.22/0.44 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((~ (a @ Y3)) | (b @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((a @ Y3) | (!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (s @ Y4))))))))) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((b @ Y3) | (!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (s @ Y4)))))))))))))))))))),
% 0.22/0.44 inference(not_proxy_clausification,[],[f120])).
% 0.22/0.44 thf(f120,plain,(
% 0.22/0.44 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((~ (a @ Y3)) | (b @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((a @ Y3) | (!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (s @ Y4))))))))) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((b @ Y3) | (!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (s @ Y4))))))))))))))))))))),
% 0.22/0.44 inference(beta_eta_normalization,[],[f116])).
% 0.22/0.44 thf(f116,plain,(
% 0.22/0.44 ($true = (~ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[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)))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[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)))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ a) @ ((^[Y0 : $i > $o]: (Y0)) @ b)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)) @ s)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[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)))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ a) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)) @ s)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ b) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)) @ s)))))))),
% 0.22/0.44 inference(definition_unfolding,[],[f87,f115,f111,f114,f111,f83,f83,f108,f111,f114,f83,f108,f114,f83,f108])).
% 0.22/0.44 thf(f108,plain,(
% 0.22/0.44 (icl_atom = (^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)))),
% 0.22/0.44 inference(definition_unfolding,[],[f85,f97])).
% 0.22/0.44 thf(f97,plain,(
% 0.22/0.44 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.22/0.44 inference(cnf_transformation,[],[f74])).
% 0.22/0.44 thf(f74,plain,(
% 0.22/0.44 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.22/0.44 inference(fool_elimination,[],[f73])).
% 0.22/0.44 thf(f73,plain,(
% 0.22/0.44 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X0 @ X2 @ X3) => (X1 @ X3)))))),
% 0.22/0.44 inference(rectify,[],[f8])).
% 0.22/0.44 thf(f8,axiom,(
% 0.22/0.44 (mbox = (^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (! [X2] : ((X4 @ X0 @ X2) => (X5 @ X2)))))),
% 0.22/0.44 file('/export/starexec/sandbox/tmp/tmp.fKoXQ34Uan/Vampire---4.8_26922',mbox)).
% 0.22/0.44 thf(f85,plain,(
% 0.22/0.44 (icl_atom = (^[Y0 : $i > $o]: (mbox @ rel @ Y0)))),
% 0.22/0.44 inference(cnf_transformation,[],[f57])).
% 0.22/0.44 thf(f57,plain,(
% 0.22/0.44 (icl_atom = (^[Y0 : $i > $o]: (mbox @ rel @ Y0)))),
% 0.22/0.44 inference(fool_elimination,[],[f56])).
% 0.22/0.44 thf(f56,plain,(
% 0.22/0.44 ((^[X0 : $i > $o] : (mbox @ rel @ X0)) = icl_atom)),
% 0.22/0.44 inference(rectify,[],[f16])).
% 0.22/0.44 thf(f16,axiom,(
% 0.22/0.44 ((^[X5 : $i > $o] : (mbox @ rel @ X5)) = icl_atom)),
% 0.22/0.44 file('/export/starexec/sandbox/tmp/tmp.fKoXQ34Uan/Vampire---4.8_26922',icl_atom)).
% 0.22/0.44 thf(f83,plain,(
% 0.22/0.44 (icl_princ = (^[Y0 : $i > $o]: (Y0)))),
% 0.22/0.44 inference(cnf_transformation,[],[f39])).
% 0.22/0.44 thf(f39,plain,(
% 0.22/0.44 (icl_princ = (^[Y0 : $i > $o]: (Y0)))),
% 0.22/0.44 inference(fool_elimination,[],[f38])).
% 0.22/0.44 thf(f38,plain,(
% 0.22/0.44 ((^[X0 : $i > $o] : (X0)) = icl_princ)),
% 0.22/0.44 inference(rectify,[],[f17])).
% 0.22/0.44 thf(f17,axiom,(
% 0.22/0.44 ((^[X5 : $i > $o] : (X5)) = icl_princ)),
% 0.22/0.44 file('/export/starexec/sandbox/tmp/tmp.fKoXQ34Uan/Vampire---4.8_26922',icl_princ)).
% 0.22/0.44 thf(f114,plain,(
% 0.22/0.44 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ Y0 @ Y1))))))),
% 0.22/0.44 inference(definition_unfolding,[],[f104,f97,f94])).
% 0.22/0.44 thf(f94,plain,(
% 0.22/0.44 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.22/0.44 inference(cnf_transformation,[],[f53])).
% 0.22/0.44 thf(f53,plain,(
% 0.22/0.44 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.22/0.44 inference(fool_elimination,[],[f52])).
% 0.22/0.44 thf(f52,plain,(
% 0.22/0.44 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))) = mor)),
% 0.22/0.44 inference(rectify,[],[f4])).
% 0.22/0.44 thf(f4,axiom,(
% 0.22/0.44 ((^[X0 : $i > $o, X2 : $i > $o, X1 : $i] : ((X2 @ X1) | (X0 @ X1))) = mor)),
% 0.22/0.44 file('/export/starexec/sandbox/tmp/tmp.fKoXQ34Uan/Vampire---4.8_26922',mor)).
% 0.22/0.44 thf(f104,plain,(
% 0.22/0.44 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mor @ Y0 @ Y1))))))),
% 0.22/0.44 inference(cnf_transformation,[],[f51])).
% 0.22/0.44 thf(f51,plain,(
% 0.22/0.44 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mor @ Y0 @ Y1))))))),
% 0.22/0.44 inference(fool_elimination,[],[f50])).
% 0.22/0.44 thf(f50,plain,(
% 0.22/0.44 ((^[X0 : $i > $o, X1 : $i > $o] : (mbox @ rel @ (mor @ X0 @ X1))) = icl_says)),
% 0.22/0.44 inference(rectify,[],[f23])).
% 0.22/0.44 thf(f23,axiom,(
% 0.22/0.44 ((^[X7 : $i > $o, X9 : $i > $o] : (mbox @ rel @ (mor @ X7 @ X9))) = icl_says)),
% 0.22/0.44 file('/export/starexec/sandbox/tmp/tmp.fKoXQ34Uan/Vampire---4.8_26922',icl_says)).
% 0.22/0.44 thf(f111,plain,(
% 0.22/0.44 (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[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)))) @ Y0 @ Y1))))))),
% 0.22/0.44 inference(definition_unfolding,[],[f80,f97,f106])).
% 0.22/0.44 thf(f106,plain,(
% 0.22/0.44 (mimpl = (^[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)))))),
% 0.22/0.44 inference(definition_unfolding,[],[f101,f94,f82])).
% 0.22/0.44 thf(f82,plain,(
% 0.22/0.44 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.22/0.44 inference(cnf_transformation,[],[f41])).
% 0.22/0.44 thf(f41,plain,(
% 0.22/0.44 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.22/0.44 inference(fool_elimination,[],[f40])).
% 0.22/0.44 thf(f40,plain,(
% 0.22/0.44 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.22/0.44 inference(rectify,[],[f3])).
% 0.22/0.44 thf(f3,axiom,(
% 0.22/0.44 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.22/0.44 file('/export/starexec/sandbox/tmp/tmp.fKoXQ34Uan/Vampire---4.8_26922',mnot)).
% 0.22/0.44 thf(f101,plain,(
% 0.22/0.44 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.22/0.44 inference(cnf_transformation,[],[f62])).
% 0.22/0.44 thf(f62,plain,(
% 0.22/0.44 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.22/0.44 inference(fool_elimination,[],[f61])).
% 0.22/0.44 thf(f61,plain,(
% 0.22/0.44 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimpl)),
% 0.22/0.44 inference(rectify,[],[f6])).
% 0.22/0.44 thf(f6,axiom,(
% 0.22/0.44 ((^[X1 : $i > $o, X3 : $i > $o] : (mor @ (mnot @ X1) @ X3)) = mimpl)),
% 0.22/0.44 file('/export/starexec/sandbox/tmp/tmp.fKoXQ34Uan/Vampire---4.8_26922',mimpl)).
% 0.22/0.44 thf(f80,plain,(
% 0.22/0.44 (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.22/0.44 inference(cnf_transformation,[],[f78])).
% 0.22/0.44 thf(f78,plain,(
% 0.22/0.44 (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.22/0.44 inference(fool_elimination,[],[f77])).
% 0.22/0.44 thf(f77,plain,(
% 0.22/0.44 ((^[X0 : $i > $o, X1 : $i > $o] : (mbox @ rel @ (mimpl @ X0 @ X1))) = icl_impl)),
% 0.22/0.44 inference(rectify,[],[f20])).
% 0.22/0.44 thf(f20,axiom,(
% 0.22/0.44 ((^[X7 : $i > $o, X8 : $i > $o] : (mbox @ rel @ (mimpl @ X7 @ X8))) = icl_impl)),
% 0.22/0.44 file('/export/starexec/sandbox/tmp/tmp.fKoXQ34Uan/Vampire---4.8_26922',icl_impl)).
% 0.22/0.44 thf(f115,plain,(
% 0.22/0.44 (iclval = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)))),
% 0.22/0.44 inference(definition_unfolding,[],[f92,f79])).
% 0.22/0.44 thf(f79,plain,(
% 0.22/0.44 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.22/0.44 inference(cnf_transformation,[],[f76])).
% 0.22/0.44 thf(f76,plain,(
% 0.22/0.44 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.22/0.44 inference(fool_elimination,[],[f75])).
% 0.22/0.44 thf(f75,plain,(
% 0.22/0.44 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.22/0.44 inference(rectify,[],[f12])).
% 0.22/0.44 thf(f12,axiom,(
% 0.22/0.44 (mvalid = (^[X5 : $i > $o] : (! [X6] : (X5 @ X6))))),
% 0.22/0.44 file('/export/starexec/sandbox/tmp/tmp.fKoXQ34Uan/Vampire---4.8_26922',mvalid)).
% 0.22/0.44 thf(f92,plain,(
% 0.22/0.44 (iclval = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
% 0.22/0.44 inference(cnf_transformation,[],[f36])).
% 0.22/0.44 thf(f36,plain,(
% 0.22/0.44 (iclval = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
% 0.22/0.44 inference(fool_elimination,[],[f24])).
% 0.22/0.44 thf(f24,axiom,(
% 0.22/0.44 (iclval = (^[X0 : $i > $o] : (mvalid @ X0)))),
% 0.22/0.44 file('/export/starexec/sandbox/tmp/tmp.fKoXQ34Uan/Vampire---4.8_26922',icl_s4_valid)).
% 0.22/0.44 thf(f87,plain,(
% 0.22/0.44 ($true = (~ (iclval @ (icl_impl @ (icl_says @ (icl_impl @ (icl_princ @ a) @ (icl_princ @ b)) @ (icl_atom @ s)) @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ (icl_says @ (icl_princ @ b) @ (icl_atom @ s)))))))),
% 0.22/0.44 inference(cnf_transformation,[],[f33])).
% 0.22/0.44 thf(f33,plain,(
% 0.22/0.44 ($true = (~ (iclval @ (icl_impl @ (icl_says @ (icl_impl @ (icl_princ @ a) @ (icl_princ @ b)) @ (icl_atom @ s)) @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ (icl_says @ (icl_princ @ b) @ (icl_atom @ s)))))))),
% 0.22/0.44 inference(fool_elimination,[],[f32])).
% 0.22/0.44 thf(f32,plain,(
% 0.22/0.44 ~(iclval @ (icl_impl @ (icl_says @ (icl_impl @ (icl_princ @ a) @ (icl_princ @ b)) @ (icl_atom @ s)) @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ (icl_says @ (icl_princ @ b) @ (icl_atom @ s)))))),
% 0.22/0.44 inference(rectify,[],[f28])).
% 0.22/0.44 thf(f28,negated_conjecture,(
% 0.22/0.44 ~(iclval @ (icl_impl @ (icl_says @ (icl_impl @ (icl_princ @ a) @ (icl_princ @ b)) @ (icl_atom @ s)) @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ (icl_says @ (icl_princ @ b) @ (icl_atom @ s)))))),
% 0.22/0.44 inference(negated_conjecture,[],[f27])).
% 0.22/0.44 thf(f27,conjecture,(
% 0.22/0.44 (iclval @ (icl_impl @ (icl_says @ (icl_impl @ (icl_princ @ a) @ (icl_princ @ b)) @ (icl_atom @ s)) @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ (icl_says @ (icl_princ @ b) @ (icl_atom @ s)))))),
% 0.22/0.44 file('/export/starexec/sandbox/tmp/tmp.fKoXQ34Uan/Vampire---4.8_26922',cuc)).
% 0.22/0.44 thf(f279,plain,(
% 0.22/0.44 ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK5 @ Y0) => (s @ Y0)))) = $true) | ~spl0_1),
% 0.22/0.44 inference(boolean_simplification,[],[f277])).
% 0.22/0.44 thf(f277,plain,(
% 0.22/0.44 ($true = ($true => (!! @ $i @ (^[Y0 : $i]: ((rel @ sK5 @ Y0) => (s @ Y0)))))) | ~spl0_1),
% 0.22/0.44 inference(superposition,[],[f269,f177])).
% 0.22/0.44 thf(f177,plain,(
% 0.22/0.44 ((rel @ sK4 @ sK5) = $true)),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f172])).
% 0.22/0.44 thf(f269,plain,(
% 0.22/0.44 ( ! [X1 : $i] : ((((rel @ sK4 @ X1) => (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (s @ Y0))))) = $true)) ) | ~spl0_1),
% 0.22/0.44 inference(beta_eta_normalization,[],[f267])).
% 0.22/0.44 thf(f267,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((rel @ sK4 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))))) @ X1))) ) | ~spl0_1),
% 0.22/0.44 inference(pi_clausification,[],[f257])).
% 0.22/0.44 thf(f257,plain,(
% 0.22/0.44 ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))))))) | ~spl0_1),
% 0.22/0.44 inference(boolean_simplification,[],[f256])).
% 0.22/0.44 thf(f256,plain,(
% 0.22/0.44 ($true = ($false | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))))))) | ~spl0_1),
% 0.22/0.44 inference(boolean_simplification,[],[f248])).
% 0.22/0.44 thf(f248,plain,(
% 0.22/0.44 (((~ $true) | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))))))) = $true) | ~spl0_1),
% 0.22/0.44 inference(superposition,[],[f130,f200])).
% 0.22/0.44 thf(f200,plain,(
% 0.22/0.44 ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (s @ Y0))))) | ~spl0_1),
% 0.22/0.44 inference(avatar_component_clause,[],[f199])).
% 0.22/0.44 thf(f199,plain,(
% 0.22/0.44 spl0_1 <=> ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (s @ Y0)))))),
% 0.22/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.22/0.44 thf(f130,plain,(
% 0.22/0.44 ( ! [X2 : $i,X1 : $i > $o] : (($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (X1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X1 @ Y1)))))))))) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f129])).
% 0.22/0.44 thf(f129,plain,(
% 0.22/0.44 ( ! [X2 : $i,X1 : $i > $o] : (($true = ((^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (X1 @ Y2))))))))) @ X2))) )),
% 0.22/0.44 inference(pi_clausification,[],[f128])).
% 0.22/0.44 thf(f128,plain,(
% 0.22/0.44 ( ! [X1 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (X1 @ Y2)))))))))))) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f127])).
% 0.22/0.44 thf(f127,plain,(
% 0.22/0.44 ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (Y0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (Y0 @ Y3))))))))))) @ X1) = $true)) )),
% 0.22/0.44 inference(pi_clausification,[],[f119])).
% 0.22/0.44 thf(f119,plain,(
% 0.22/0.44 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (Y0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (Y0 @ Y3)))))))))))))),
% 0.22/0.44 inference(beta_eta_normalization,[],[f118])).
% 0.22/0.44 thf(f118,plain,(
% 0.22/0.44 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) | (Y4 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)))))) = $true)),
% 0.22/0.44 inference(definition_unfolding,[],[f105,f79,f106,f97,f97,f97])).
% 0.22/0.44 thf(f105,plain,(
% 0.22/0.44 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ rel @ Y0) @ (mbox @ rel @ (mbox @ rel @ Y0)))))))),
% 0.22/0.44 inference(cnf_transformation,[],[f59])).
% 0.22/0.44 thf(f59,plain,(
% 0.22/0.44 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ rel @ Y0) @ (mbox @ rel @ (mbox @ rel @ Y0)))))))),
% 0.22/0.44 inference(fool_elimination,[],[f58])).
% 0.22/0.44 thf(f58,plain,(
% 0.22/0.44 ! [X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ rel @ X0) @ (mbox @ rel @ (mbox @ rel @ X0))))),
% 0.22/0.44 inference(rectify,[],[f26])).
% 0.22/0.44 thf(f26,axiom,(
% 0.22/0.44 ! [X8 : $i > $o] : (mvalid @ (mimpl @ (mbox @ rel @ X8) @ (mbox @ rel @ (mbox @ rel @ X8))))),
% 0.22/0.44 file('/export/starexec/sandbox/tmp/tmp.fKoXQ34Uan/Vampire---4.8_26922',trans_axiom)).
% 0.22/0.44 thf(f243,plain,(
% 0.22/0.44 ~spl0_2),
% 0.22/0.44 inference(avatar_contradiction_clause,[],[f242])).
% 0.22/0.44 thf(f242,plain,(
% 0.22/0.44 $false | ~spl0_2),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f241])).
% 0.22/0.44 thf(f241,plain,(
% 0.22/0.44 ($true = $false) | ~spl0_2),
% 0.22/0.44 inference(forward_demodulation,[],[f240,f194])).
% 0.22/0.44 thf(f194,plain,(
% 0.22/0.44 ((b @ sK5) = $false)),
% 0.22/0.44 inference(boolean_simplification,[],[f192])).
% 0.22/0.44 thf(f192,plain,(
% 0.22/0.44 (((b @ sK5) | $false) = $false)),
% 0.22/0.44 inference(backward_demodulation,[],[f176,f189])).
% 0.22/0.44 thf(f240,plain,(
% 0.22/0.44 ($true = (b @ sK5)) | ~spl0_2),
% 0.22/0.44 inference(boolean_simplification,[],[f239])).
% 0.22/0.44 thf(f239,plain,(
% 0.22/0.44 (($true => (b @ sK5)) = $true) | ~spl0_2),
% 0.22/0.44 inference(forward_demodulation,[],[f224,f177])).
% 0.22/0.44 thf(f224,plain,(
% 0.22/0.44 (((rel @ sK4 @ sK5) => (b @ sK5)) = $true) | ~spl0_2),
% 0.22/0.44 inference(boolean_simplification,[],[f223])).
% 0.22/0.44 thf(f223,plain,(
% 0.22/0.44 (((rel @ sK4 @ sK5) => ($false | (b @ sK5))) = $true) | ~spl0_2),
% 0.22/0.44 inference(boolean_simplification,[],[f221])).
% 0.22/0.44 thf(f221,plain,(
% 0.22/0.44 (((rel @ sK4 @ sK5) => ((~ $true) | (b @ sK5))) = $true) | ~spl0_2),
% 0.22/0.44 inference(superposition,[],[f213,f193])).
% 0.22/0.44 thf(f193,plain,(
% 0.22/0.44 ((a @ sK5) = $true)),
% 0.22/0.44 inference(boolean_simplification,[],[f191])).
% 0.22/0.44 thf(f191,plain,(
% 0.22/0.44 (((a @ sK5) | $false) = $true)),
% 0.22/0.44 inference(backward_demodulation,[],[f188,f189])).
% 0.22/0.44 thf(f188,plain,(
% 0.22/0.44 (((a @ sK5) | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK5 @ Y0) => (s @ Y0))))) = $true)),
% 0.22/0.44 inference(boolean_simplification,[],[f187])).
% 0.22/0.44 thf(f187,plain,(
% 0.22/0.44 ($true = ($true => ((a @ sK5) | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK5 @ Y0) => (s @ Y0)))))))),
% 0.22/0.44 inference(superposition,[],[f183,f177])).
% 0.22/0.44 thf(f183,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (($true = ((rel @ sK4 @ X1) => ((a @ X1) | (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (s @ Y0)))))))) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f182])).
% 0.22/0.44 thf(f182,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((a @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))))) @ X1))) )),
% 0.22/0.44 inference(pi_clausification,[],[f173])).
% 0.22/0.44 thf(f173,plain,(
% 0.22/0.44 ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((a @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))))))) = $true)),
% 0.22/0.44 inference(not_proxy_clausification,[],[f170])).
% 0.22/0.44 thf(f170,plain,(
% 0.22/0.44 ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((a @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))))))) = $false)),
% 0.22/0.44 inference(boolean_simplification,[],[f169])).
% 0.22/0.44 thf(f169,plain,(
% 0.22/0.44 (((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((a @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))))))) | $false) = $false)),
% 0.22/0.44 inference(backward_demodulation,[],[f157,f167])).
% 0.22/0.44 thf(f213,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (($true = ((rel @ sK4 @ X1) => ((~ (a @ X1)) | (b @ X1))))) ) | ~spl0_2),
% 0.22/0.44 inference(beta_eta_normalization,[],[f209])).
% 0.22/0.44 thf(f209,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((~ (a @ Y0)) | (b @ Y0)))) @ X1))) ) | ~spl0_2),
% 0.22/0.44 inference(pi_clausification,[],[f203])).
% 0.22/0.44 thf(f203,plain,(
% 0.22/0.44 ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((~ (a @ Y0)) | (b @ Y0)))))) | ~spl0_2),
% 0.22/0.44 inference(avatar_component_clause,[],[f202])).
% 0.22/0.44 thf(f202,plain,(
% 0.22/0.44 spl0_2 <=> ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((~ (a @ Y0)) | (b @ Y0))))))),
% 0.22/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.22/0.44 thf(f204,plain,(
% 0.22/0.44 spl0_1 | spl0_2),
% 0.22/0.44 inference(avatar_split_clause,[],[f195,f202,f199])).
% 0.22/0.44 thf(f195,plain,(
% 0.22/0.44 ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((~ (a @ Y0)) | (b @ Y0)))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (s @ Y0)))))),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f166])).
% 0.22/0.44 thf(f166,plain,(
% 0.22/0.44 ($true = ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((~ (a @ Y0)) | (b @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (s @ Y0))))))),
% 0.22/0.44 inference(boolean_simplification,[],[f163])).
% 0.22/0.44 thf(f163,plain,(
% 0.22/0.44 (($true => ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((~ (a @ Y0)) | (b @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (s @ Y0)))))) = $true)),
% 0.22/0.44 inference(superposition,[],[f153,f158])).
% 0.22/0.44 thf(f158,plain,(
% 0.22/0.44 ($true = (rel @ sK3 @ sK4))),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f156])).
% 0.22/0.44 thf(f153,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (($true = ((rel @ sK3 @ X1) => ((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => ((~ (a @ Y0)) | (b @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (s @ Y0)))))))) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f152])).
% 0.22/0.44 thf(f152,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (a @ Y1)) | (b @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))))) @ X1))) )),
% 0.22/0.44 inference(pi_clausification,[],[f149])).
% 0.22/0.44 thf(f149,plain,(
% 0.22/0.44 ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (a @ Y1)) | (b @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))))))) = $true)),
% 0.22/0.44 inference(not_proxy_clausification,[],[f146])).
% 0.22/0.44 thf(f146,plain,(
% 0.22/0.44 ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (a @ Y1)) | (b @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))))))) = $false)),
% 0.22/0.44 inference(boolean_simplification,[],[f145])).
% 0.22/0.44 thf(f145,plain,(
% 0.22/0.44 (((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (a @ Y1)) | (b @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))))))) | $false) = $false)),
% 0.22/0.44 inference(backward_demodulation,[],[f142,f143])).
% 0.22/0.44 % SZS output end Proof for Vampire---4
% 0.22/0.44 % (27173)------------------------------
% 0.22/0.44 % (27173)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (27173)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (27173)Memory used [KB]: 5884
% 0.22/0.44 % (27173)Time elapsed: 0.035 s
% 0.22/0.44 % (27173)Instructions burned: 42 (million)
% 0.22/0.44 % (27173)------------------------------
% 0.22/0.44 % (27173)------------------------------
% 0.22/0.44 % (27161)Success in time 0.058 s
% 0.22/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------