TSTP Solution File: SWV432^2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV432^2 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n025.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 10:34:33 EDT 2024
% Result : Theorem 0.17s 0.38s
% Output : Refutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SWV432^2 : TPTP v8.1.2. Released v3.6.0.
% 0.02/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.32 % Computer : n025.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 21:00:08 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a TH0_THM_EQU_NAR problem
% 0.11/0.32 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.kmXZshHxbW/Vampire---4.8_6317
% 0.11/0.34 % (6433)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.11/0.34 % (6428)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)
% 0.11/0.34 % (6427)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)
% 0.11/0.34 % (6431)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)
% 0.11/0.34 % (6430)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.11/0.34 % (6434)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)
% 0.11/0.34 % (6432)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)
% 0.11/0.34 % (6429)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)
% 0.11/0.34 % (6428)Instruction limit reached!
% 0.11/0.34 % (6428)------------------------------
% 0.11/0.34 % (6428)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (6428)Termination reason: Unknown
% 0.11/0.34 % (6428)Termination phase: Property scanning
% 0.11/0.34
% 0.11/0.34 % (6428)Memory used [KB]: 1023
% 0.11/0.34 % (6428)Time elapsed: 0.003 s
% 0.11/0.34 % (6428)Instructions burned: 4 (million)
% 0.11/0.34 % (6428)------------------------------
% 0.11/0.34 % (6428)------------------------------
% 0.11/0.34 % (6430)Instruction limit reached!
% 0.11/0.34 % (6430)------------------------------
% 0.11/0.34 % (6430)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (6430)Termination reason: Unknown
% 0.11/0.34 % (6430)Termination phase: Property scanning
% 0.11/0.34
% 0.11/0.34 % (6431)Instruction limit reached!
% 0.11/0.34 % (6431)------------------------------
% 0.11/0.34 % (6431)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (6431)Termination reason: Unknown
% 0.11/0.34 % (6431)Termination phase: Property scanning
% 0.11/0.34
% 0.11/0.34 % (6431)Memory used [KB]: 1023
% 0.11/0.34 % (6431)Time elapsed: 0.003 s
% 0.11/0.34 % (6431)Instructions burned: 3 (million)
% 0.11/0.34 % (6431)------------------------------
% 0.11/0.34 % (6431)------------------------------
% 0.11/0.34 % (6430)Memory used [KB]: 1023
% 0.11/0.34 % (6430)Time elapsed: 0.003 s
% 0.11/0.34 % (6430)Instructions burned: 3 (million)
% 0.11/0.34 % (6430)------------------------------
% 0.11/0.34 % (6430)------------------------------
% 0.11/0.34 % (6434)Instruction limit reached!
% 0.11/0.34 % (6434)------------------------------
% 0.11/0.34 % (6434)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (6434)Termination reason: Unknown
% 0.11/0.34 % (6434)Termination phase: Property scanning
% 0.11/0.34
% 0.11/0.34 % (6434)Memory used [KB]: 1023
% 0.11/0.34 % (6434)Time elapsed: 0.003 s
% 0.11/0.34 % (6434)Instructions burned: 3 (million)
% 0.11/0.34 % (6434)------------------------------
% 0.11/0.34 % (6434)------------------------------
% 0.11/0.34 % (6432)Refutation not found, incomplete strategy
% 0.11/0.34 % (6432)------------------------------
% 0.11/0.34 % (6432)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (6432)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.34
% 0.11/0.34
% 0.11/0.34 % (6432)Memory used [KB]: 5500
% 0.11/0.34 % (6432)Time elapsed: 0.005 s
% 0.11/0.34 % (6432)Instructions burned: 5 (million)
% 0.11/0.34 % (6432)------------------------------
% 0.11/0.34 % (6432)------------------------------
% 0.11/0.35 % (6433)Instruction limit reached!
% 0.11/0.35 % (6433)------------------------------
% 0.11/0.35 % (6433)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (6433)Termination reason: Unknown
% 0.11/0.35 % (6433)Termination phase: Saturation
% 0.11/0.35
% 0.11/0.35 % (6433)Memory used [KB]: 5628
% 0.11/0.35 % (6433)Time elapsed: 0.011 s
% 0.11/0.35 % (6433)Instructions burned: 19 (million)
% 0.11/0.35 % (6433)------------------------------
% 0.11/0.35 % (6433)------------------------------
% 0.11/0.35 % (6429)Instruction limit reached!
% 0.11/0.35 % (6429)------------------------------
% 0.11/0.35 % (6429)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (6435)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)
% 0.11/0.35 % (6429)Termination reason: Unknown
% 0.11/0.35 % (6429)Termination phase: Saturation
% 0.11/0.35
% 0.11/0.35 % (6429)Memory used [KB]: 5756
% 0.11/0.35 % (6429)Time elapsed: 0.015 s
% 0.11/0.35 % (6429)Instructions burned: 27 (million)
% 0.11/0.35 % (6429)------------------------------
% 0.11/0.35 % (6429)------------------------------
% 0.11/0.36 % (6438)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)
% 0.11/0.36 % (6437)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)
% 0.11/0.36 % (6436)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)
% 0.11/0.36 % (6437)Instruction limit reached!
% 0.11/0.36 % (6437)------------------------------
% 0.11/0.36 % (6437)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (6437)Termination reason: Unknown
% 0.11/0.36 % (6437)Termination phase: Property scanning
% 0.11/0.36
% 0.11/0.36 % (6437)Memory used [KB]: 1023
% 0.11/0.36 % (6437)Time elapsed: 0.003 s
% 0.11/0.36 % (6437)Instructions burned: 4 (million)
% 0.11/0.36 % (6437)------------------------------
% 0.11/0.36 % (6437)------------------------------
% 0.11/0.36 % (6440)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)
% 0.11/0.36 % (6439)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)
% 0.17/0.36 % (6439)Instruction limit reached!
% 0.17/0.36 % (6439)------------------------------
% 0.17/0.36 % (6439)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.36 % (6439)Termination reason: Unknown
% 0.17/0.36 % (6439)Termination phase: Saturation
% 0.17/0.36
% 0.17/0.36 % (6439)Memory used [KB]: 1023
% 0.17/0.36 % (6439)Time elapsed: 0.005 s
% 0.17/0.36 % (6439)Instructions burned: 7 (million)
% 0.17/0.36 % (6439)------------------------------
% 0.17/0.36 % (6439)------------------------------
% 0.17/0.36 % (6436)Refutation not found, incomplete strategy
% 0.17/0.36 % (6436)------------------------------
% 0.17/0.36 % (6436)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.36 % (6436)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.36
% 0.17/0.36
% 0.17/0.36 % (6436)Memory used [KB]: 5628
% 0.17/0.36 % (6436)Time elapsed: 0.008 s
% 0.17/0.36 % (6436)Instructions burned: 12 (million)
% 0.17/0.36 % (6436)------------------------------
% 0.17/0.36 % (6436)------------------------------
% 0.17/0.37 % (6440)Instruction limit reached!
% 0.17/0.37 % (6440)------------------------------
% 0.17/0.37 % (6440)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.37 % (6440)Termination reason: Unknown
% 0.17/0.37 % (6440)Termination phase: Saturation
% 0.17/0.37
% 0.17/0.37 % (6440)Memory used [KB]: 5628
% 0.17/0.37 % (6440)Time elapsed: 0.009 s
% 0.17/0.37 % (6440)Instructions burned: 17 (million)
% 0.17/0.37 % (6440)------------------------------
% 0.17/0.37 % (6440)------------------------------
% 0.17/0.37 % (6441)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)
% 0.17/0.37 % (6442)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)
% 0.17/0.37 % (6441)Instruction limit reached!
% 0.17/0.37 % (6441)------------------------------
% 0.17/0.37 % (6441)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.37 % (6441)Termination reason: Unknown
% 0.17/0.37 % (6441)Termination phase: Property scanning
% 0.17/0.37
% 0.17/0.37 % (6441)Memory used [KB]: 1023
% 0.17/0.37 % (6441)Time elapsed: 0.004 s
% 0.17/0.37 % (6441)Instructions burned: 4 (million)
% 0.17/0.37 % (6441)------------------------------
% 0.17/0.37 % (6441)------------------------------
% 0.17/0.37 % (6442)Instruction limit reached!
% 0.17/0.37 % (6442)------------------------------
% 0.17/0.37 % (6442)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.37 % (6442)Termination reason: Unknown
% 0.17/0.37 % (6442)Termination phase: shuffling
% 0.17/0.37
% 0.17/0.37 % (6442)Memory used [KB]: 1023
% 0.17/0.37 % (6442)Time elapsed: 0.003 s
% 0.17/0.37 % (6442)Instructions burned: 3 (million)
% 0.17/0.37 % (6442)------------------------------
% 0.17/0.37 % (6442)------------------------------
% 0.17/0.37 % (6435)Instruction limit reached!
% 0.17/0.37 % (6435)------------------------------
% 0.17/0.37 % (6435)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.37 % (6435)Termination reason: Unknown
% 0.17/0.37 % (6435)Termination phase: Saturation
% 0.17/0.37
% 0.17/0.37 % (6435)Memory used [KB]: 5884
% 0.17/0.37 % (6435)Time elapsed: 0.019 s
% 0.17/0.37 % (6435)Instructions burned: 37 (million)
% 0.17/0.37 % (6435)------------------------------
% 0.17/0.37 % (6435)------------------------------
% 0.17/0.37 % (6438)First to succeed.
% 0.17/0.37 % (6443)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)
% 0.17/0.38 % (6445)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.17/0.38 % (6444)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)
% 0.17/0.38 % (6438)Refutation found. Thanks to Tanya!
% 0.17/0.38 % SZS status Theorem for Vampire---4
% 0.17/0.38 % SZS output start Proof for Vampire---4
% 0.17/0.38 thf(type_def_6, type, individuals: $tType).
% 0.17/0.38 thf(func_def_1, type, prop_a: $i > $o).
% 0.17/0.38 thf(func_def_2, type, prop_b: $i > $o).
% 0.17/0.38 thf(func_def_3, type, prop_c: $i > $o).
% 0.17/0.38 thf(func_def_4, type, mfalse: $i > $o).
% 0.17/0.38 thf(func_def_5, type, mtrue: $i > $o).
% 0.17/0.38 thf(func_def_6, type, mnot: ($i > $o) > $i > $o).
% 0.17/0.38 thf(func_def_8, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.17/0.38 thf(func_def_9, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.17/0.38 thf(func_def_10, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 0.17/0.38 thf(func_def_11, type, miff: ($i > $o) > ($i > $o) > $i > $o).
% 0.17/0.38 thf(func_def_12, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.17/0.38 thf(func_def_13, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.17/0.38 thf(func_def_14, type, individuals: $tType).
% 0.17/0.38 thf(func_def_15, type, mall: (individuals > $i > $o) > $i > $o).
% 0.17/0.38 thf(func_def_16, type, mexists: (individuals > $i > $o) > $i > $o).
% 0.17/0.38 thf(func_def_17, type, mvalid: ($i > $o) > $o).
% 0.17/0.38 thf(func_def_18, type, msatisfiable: ($i > $o) > $o).
% 0.17/0.38 thf(func_def_19, type, mcountersatisfiable: ($i > $o) > $o).
% 0.17/0.38 thf(func_def_20, type, minvalid: ($i > $o) > $o).
% 0.17/0.38 thf(func_def_21, type, rel: $i > $i > $o).
% 0.17/0.38 thf(func_def_22, type, icl_atom: ($i > $o) > $i > $o).
% 0.17/0.38 thf(func_def_23, type, icl_princ: ($i > $o) > $i > $o).
% 0.17/0.38 thf(func_def_24, type, icl_and: ($i > $o) > ($i > $o) > $i > $o).
% 0.17/0.38 thf(func_def_25, type, icl_or: ($i > $o) > ($i > $o) > $i > $o).
% 0.17/0.38 thf(func_def_26, type, icl_impl: ($i > $o) > ($i > $o) > $i > $o).
% 0.17/0.38 thf(func_def_27, type, icl_true: $i > $o).
% 0.17/0.38 thf(func_def_28, type, icl_false: $i > $o).
% 0.17/0.38 thf(func_def_29, type, icl_says: ($i > $o) > ($i > $o) > $i > $o).
% 0.17/0.38 thf(func_def_30, type, iclval: ($i > $o) > $o).
% 0.17/0.38 thf(func_def_31, type, icl_impl_princ: ($i > $o) > ($i > $o) > $i > $o).
% 0.17/0.38 thf(func_def_32, type, a: $i > $o).
% 0.17/0.38 thf(func_def_33, type, b: $i > $o).
% 0.17/0.38 thf(func_def_49, type, ph1: !>[X0: $tType]:(X0)).
% 0.17/0.38 thf(f299,plain,(
% 0.17/0.38 $false),
% 0.17/0.38 inference(trivial_inequality_removal,[],[f298])).
% 0.17/0.38 thf(f298,plain,(
% 0.17/0.38 ($false = $true)),
% 0.17/0.38 inference(beta_eta_normalization,[],[f297])).
% 0.17/0.38 thf(f297,plain,(
% 0.17/0.38 (((^[Y0 : $i]: ($true)) @ sK6) = $false)),
% 0.17/0.38 inference(sigma_clausification,[],[f294])).
% 0.17/0.38 thf(f294,plain,(
% 0.17/0.38 ($false = (!! @ $i @ (^[Y0 : $i]: ($true))))),
% 0.17/0.38 inference(not_proxy_clausification,[],[f292])).
% 0.17/0.38 thf(f292,plain,(
% 0.17/0.38 ((~ (!! @ $i @ (^[Y0 : $i]: ($true)))) = $true)),
% 0.17/0.38 inference(boolean_simplification,[],[f291])).
% 0.17/0.38 thf(f291,plain,(
% 0.17/0.38 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (rel @ sK4 @ Y0))))))),
% 0.17/0.38 inference(boolean_simplification,[],[f290])).
% 0.17/0.38 thf(f290,plain,(
% 0.17/0.38 (((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (rel @ sK4 @ Y0))))) | $false) = $true)),
% 0.17/0.38 inference(superposition,[],[f130,f286])).
% 0.17/0.38 thf(f286,plain,(
% 0.17/0.38 ($false = (rel @ sK4 @ sK4))),
% 0.17/0.38 inference(not_proxy_clausification,[],[f250])).
% 0.17/0.38 thf(f250,plain,(
% 0.17/0.38 ((~ (rel @ sK4 @ sK4)) = $true)),
% 0.17/0.38 inference(boolean_simplification,[],[f249])).
% 0.17/0.38 thf(f249,plain,(
% 0.17/0.38 ($true = ((rel @ sK4 @ sK4) => $false))),
% 0.17/0.38 inference(boolean_simplification,[],[f248])).
% 0.17/0.38 thf(f248,plain,(
% 0.17/0.38 (((rel @ sK4 @ sK4) => (~ $true)) = $true)),
% 0.17/0.38 inference(forward_demodulation,[],[f247,f168])).
% 0.17/0.38 thf(f168,plain,(
% 0.17/0.38 ((a @ sK4) = $true)),
% 0.17/0.38 inference(not_proxy_clausification,[],[f165])).
% 0.17/0.38 thf(f165,plain,(
% 0.17/0.38 ($false = (~ (a @ sK4)))),
% 0.17/0.38 inference(boolean_simplification,[],[f164])).
% 0.17/0.38 thf(f164,plain,(
% 0.17/0.38 ($false = ((~ (a @ sK4)) | $false))),
% 0.17/0.38 inference(backward_demodulation,[],[f161,f162])).
% 0.17/0.38 thf(f162,plain,(
% 0.17/0.38 ((b @ sK4) = $false)),
% 0.17/0.38 inference(binary_proxy_clausification,[],[f161])).
% 0.17/0.38 thf(f161,plain,(
% 0.17/0.38 (((~ (a @ sK4)) | (b @ sK4)) = $false)),
% 0.17/0.38 inference(boolean_simplification,[],[f160])).
% 0.17/0.38 thf(f160,plain,(
% 0.17/0.38 ($false = ($true => ((~ (a @ sK4)) | (b @ sK4))))),
% 0.17/0.38 inference(backward_demodulation,[],[f157,f159])).
% 0.17/0.38 thf(f159,plain,(
% 0.17/0.38 ((rel @ sK3 @ sK4) = $true)),
% 0.17/0.38 inference(binary_proxy_clausification,[],[f157])).
% 0.17/0.38 thf(f157,plain,(
% 0.17/0.38 ($false = ((rel @ sK3 @ sK4) => ((~ (a @ sK4)) | (b @ sK4))))),
% 0.17/0.38 inference(beta_eta_normalization,[],[f156])).
% 0.17/0.38 thf(f156,plain,(
% 0.17/0.38 ($false = ((^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((~ (a @ Y0)) | (b @ Y0)))) @ sK4))),
% 0.17/0.38 inference(sigma_clausification,[],[f155])).
% 0.17/0.38 thf(f155,plain,(
% 0.17/0.38 ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((~ (a @ Y0)) | (b @ Y0))))))),
% 0.17/0.38 inference(boolean_simplification,[],[f154])).
% 0.17/0.38 thf(f154,plain,(
% 0.17/0.38 (($false | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((~ (a @ Y0)) | (b @ Y0)))))) = $false)),
% 0.17/0.38 inference(backward_demodulation,[],[f144,f153])).
% 0.17/0.38 thf(f153,plain,(
% 0.17/0.38 ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((b @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (a @ Y1)) | (b @ Y1)))))))))) = $false)),
% 0.17/0.38 inference(binary_proxy_clausification,[],[f144])).
% 0.17/0.38 thf(f144,plain,(
% 0.17/0.38 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((b @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (a @ Y1)) | (b @ Y1)))))))))) | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((~ (a @ Y0)) | (b @ Y0)))))))),
% 0.17/0.38 inference(binary_proxy_clausification,[],[f143])).
% 0.17/0.38 thf(f143,plain,(
% 0.17/0.38 (((rel @ sK2 @ sK3) => ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((b @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (a @ Y1)) | (b @ Y1)))))))))) | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((~ (a @ Y0)) | (b @ Y0))))))) = $false)),
% 0.17/0.38 inference(beta_eta_normalization,[],[f142])).
% 0.17/0.38 thf(f142,plain,(
% 0.17/0.38 (((^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((~ (a @ Y2)) | (b @ Y2)))))))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (a @ Y1)) | (b @ Y1)))))))) @ sK3) = $false)),
% 0.17/0.38 inference(sigma_clausification,[],[f141])).
% 0.17/0.38 thf(f141,plain,(
% 0.17/0.38 ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((~ (a @ Y2)) | (b @ Y2)))))))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (a @ Y1)) | (b @ Y1))))))))))),
% 0.17/0.38 inference(beta_eta_normalization,[],[f140])).
% 0.17/0.38 thf(f140,plain,(
% 0.17/0.38 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((b @ Y2) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((~ (a @ Y3)) | (b @ Y3)))))))))) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((~ (a @ Y2)) | (b @ Y2)))))))))) @ sK2) = $false)),
% 0.17/0.38 inference(sigma_clausification,[],[f137])).
% 0.17/0.38 thf(f137,plain,(
% 0.17/0.38 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((b @ Y2) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((~ (a @ Y3)) | (b @ Y3)))))))))) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((~ (a @ Y2)) | (b @ Y2))))))))))))),
% 0.17/0.38 inference(not_proxy_clausification,[],[f125])).
% 0.17/0.38 thf(f125,plain,(
% 0.17/0.38 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((b @ Y2) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((~ (a @ Y3)) | (b @ Y3)))))))))) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((~ (a @ Y2)) | (b @ Y2)))))))))))) = $true)),
% 0.17/0.38 inference(beta_eta_normalization,[],[f122])).
% 0.17/0.38 thf(f122,plain,(
% 0.17/0.38 ((~ ((^[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]: (Y0)) @ b) @ ((^[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 > $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))))) = $true)),
% 0.17/0.38 inference(definition_unfolding,[],[f88,f119,f115,f118,f84,f120,f84,f84,f120,f84,f84])).
% 0.17/0.38 thf(f120,plain,(
% 0.17/0.38 (icl_impl_princ = (^[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))))))),
% 0.17/0.38 inference(definition_unfolding,[],[f83,f107,f110])).
% 0.17/0.38 thf(f110,plain,(
% 0.17/0.38 (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)))))),
% 0.17/0.38 inference(definition_unfolding,[],[f99,f101,f98])).
% 0.17/0.38 thf(f98,plain,(
% 0.17/0.38 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.17/0.38 inference(cnf_transformation,[],[f67])).
% 0.17/0.38 thf(f67,plain,(
% 0.17/0.38 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.17/0.38 inference(fool_elimination,[],[f66])).
% 0.17/0.38 thf(f66,plain,(
% 0.17/0.38 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.17/0.38 inference(rectify,[],[f3])).
% 0.17/0.38 thf(f3,axiom,(
% 0.17/0.38 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.17/0.38 file('/export/starexec/sandbox2/tmp/tmp.kmXZshHxbW/Vampire---4.8_6317',mnot)).
% 0.17/0.38 thf(f101,plain,(
% 0.17/0.38 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.17/0.38 inference(cnf_transformation,[],[f56])).
% 0.17/0.38 thf(f56,plain,(
% 0.17/0.38 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.17/0.38 inference(fool_elimination,[],[f55])).
% 0.17/0.38 thf(f55,plain,(
% 0.17/0.38 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
% 0.17/0.38 inference(rectify,[],[f4])).
% 0.17/0.38 thf(f4,axiom,(
% 0.17/0.38 (mor = (^[X0 : $i > $o, X2 : $i > $o, X1 : $i] : ((X2 @ X1) | (X0 @ X1))))),
% 0.17/0.38 file('/export/starexec/sandbox2/tmp/tmp.kmXZshHxbW/Vampire---4.8_6317',mor)).
% 0.17/0.38 thf(f99,plain,(
% 0.17/0.38 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.17/0.38 inference(cnf_transformation,[],[f75])).
% 0.17/0.38 thf(f75,plain,(
% 0.17/0.38 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.17/0.38 inference(fool_elimination,[],[f74])).
% 0.17/0.38 thf(f74,plain,(
% 0.17/0.38 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimpl)),
% 0.17/0.38 inference(rectify,[],[f6])).
% 0.17/0.38 thf(f6,axiom,(
% 0.17/0.38 ((^[X1 : $i > $o, X3 : $i > $o] : (mor @ (mnot @ X1) @ X3)) = mimpl)),
% 0.17/0.38 file('/export/starexec/sandbox2/tmp/tmp.kmXZshHxbW/Vampire---4.8_6317',mimpl)).
% 0.17/0.38 thf(f107,plain,(
% 0.17/0.38 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.17/0.38 inference(cnf_transformation,[],[f63])).
% 0.17/0.38 thf(f63,plain,(
% 0.17/0.38 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.17/0.38 inference(fool_elimination,[],[f62])).
% 0.17/0.38 thf(f62,plain,(
% 0.17/0.38 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X0 @ X2 @ X3) => (X1 @ X3)))))),
% 0.17/0.38 inference(rectify,[],[f8])).
% 0.17/0.38 thf(f8,axiom,(
% 0.17/0.38 (mbox = (^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (! [X2] : ((X4 @ X0 @ X2) => (X5 @ X2)))))),
% 0.17/0.38 file('/export/starexec/sandbox2/tmp/tmp.kmXZshHxbW/Vampire---4.8_6317',mbox)).
% 0.17/0.38 thf(f83,plain,(
% 0.17/0.38 (icl_impl_princ = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.17/0.38 inference(cnf_transformation,[],[f77])).
% 0.17/0.38 thf(f77,plain,(
% 0.17/0.38 (icl_impl_princ = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.17/0.38 inference(fool_elimination,[],[f76])).
% 0.17/0.38 thf(f76,plain,(
% 0.17/0.38 (icl_impl_princ = (^[X0 : $i > $o, X1 : $i > $o] : (mbox @ rel @ (mimpl @ X0 @ X1))))),
% 0.17/0.38 inference(rectify,[],[f27])).
% 0.17/0.38 thf(f27,axiom,(
% 0.17/0.38 (icl_impl_princ = (^[X7 : $i > $o, X8 : $i > $o] : (mbox @ rel @ (mimpl @ X7 @ X8))))),
% 0.17/0.38 file('/export/starexec/sandbox2/tmp/tmp.kmXZshHxbW/Vampire---4.8_6317',icl_impl_princ)).
% 0.17/0.38 thf(f84,plain,(
% 0.17/0.38 (icl_princ = (^[Y0 : $i > $o]: (Y0)))),
% 0.17/0.38 inference(cnf_transformation,[],[f79])).
% 0.17/0.38 thf(f79,plain,(
% 0.17/0.38 (icl_princ = (^[Y0 : $i > $o]: (Y0)))),
% 0.17/0.38 inference(fool_elimination,[],[f78])).
% 0.17/0.38 thf(f78,plain,(
% 0.17/0.38 (icl_princ = (^[X0 : $i > $o] : (X0)))),
% 0.17/0.38 inference(rectify,[],[f17])).
% 0.17/0.38 thf(f17,axiom,(
% 0.17/0.38 (icl_princ = (^[X5 : $i > $o] : (X5)))),
% 0.17/0.38 file('/export/starexec/sandbox2/tmp/tmp.kmXZshHxbW/Vampire---4.8_6317',icl_princ)).
% 0.17/0.38 thf(f118,plain,(
% 0.17/0.38 (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))))))),
% 0.17/0.38 inference(definition_unfolding,[],[f86,f107,f101])).
% 0.17/0.38 thf(f86,plain,(
% 0.17/0.38 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mor @ Y0 @ Y1))))))),
% 0.17/0.38 inference(cnf_transformation,[],[f48])).
% 0.17/0.38 thf(f48,plain,(
% 0.17/0.38 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mor @ Y0 @ Y1))))))),
% 0.17/0.38 inference(fool_elimination,[],[f47])).
% 0.17/0.38 thf(f47,plain,(
% 0.17/0.38 ((^[X0 : $i > $o, X1 : $i > $o] : (mbox @ rel @ (mor @ X0 @ X1))) = icl_says)),
% 0.17/0.38 inference(rectify,[],[f23])).
% 0.17/0.38 thf(f23,axiom,(
% 0.17/0.38 ((^[X7 : $i > $o, X9 : $i > $o] : (mbox @ rel @ (mor @ X7 @ X9))) = icl_says)),
% 0.17/0.38 file('/export/starexec/sandbox2/tmp/tmp.kmXZshHxbW/Vampire---4.8_6317',icl_says)).
% 0.17/0.38 thf(f115,plain,(
% 0.17/0.38 (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))))))),
% 0.17/0.38 inference(definition_unfolding,[],[f92,f107,f110])).
% 0.17/0.38 thf(f92,plain,(
% 0.17/0.38 (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.17/0.38 inference(cnf_transformation,[],[f46])).
% 0.17/0.38 thf(f46,plain,(
% 0.17/0.38 (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.17/0.38 inference(fool_elimination,[],[f45])).
% 0.17/0.38 thf(f45,plain,(
% 0.17/0.38 ((^[X0 : $i > $o, X1 : $i > $o] : (mbox @ rel @ (mimpl @ X0 @ X1))) = icl_impl)),
% 0.17/0.38 inference(rectify,[],[f20])).
% 0.17/0.38 thf(f20,axiom,(
% 0.17/0.38 ((^[X7 : $i > $o, X8 : $i > $o] : (mbox @ rel @ (mimpl @ X7 @ X8))) = icl_impl)),
% 0.17/0.38 file('/export/starexec/sandbox2/tmp/tmp.kmXZshHxbW/Vampire---4.8_6317',icl_impl)).
% 0.17/0.38 thf(f119,plain,(
% 0.17/0.38 (iclval = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)))),
% 0.17/0.38 inference(definition_unfolding,[],[f91,f90])).
% 0.17/0.38 thf(f90,plain,(
% 0.17/0.38 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.17/0.38 inference(cnf_transformation,[],[f51])).
% 0.17/0.38 thf(f51,plain,(
% 0.17/0.38 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.17/0.38 inference(fool_elimination,[],[f50])).
% 0.17/0.38 thf(f50,plain,(
% 0.17/0.38 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.17/0.38 inference(rectify,[],[f12])).
% 0.17/0.38 thf(f12,axiom,(
% 0.17/0.38 ((^[X5 : $i > $o] : (! [X6] : (X5 @ X6))) = mvalid)),
% 0.17/0.38 file('/export/starexec/sandbox2/tmp/tmp.kmXZshHxbW/Vampire---4.8_6317',mvalid)).
% 0.17/0.38 thf(f91,plain,(
% 0.17/0.38 (iclval = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
% 0.17/0.38 inference(cnf_transformation,[],[f35])).
% 0.17/0.38 thf(f35,plain,(
% 0.17/0.38 (iclval = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
% 0.17/0.38 inference(fool_elimination,[],[f24])).
% 0.17/0.38 thf(f24,axiom,(
% 0.17/0.38 ((^[X0 : $i > $o] : (mvalid @ X0)) = iclval)),
% 0.17/0.38 file('/export/starexec/sandbox2/tmp/tmp.kmXZshHxbW/Vampire---4.8_6317',icl_s4_valid)).
% 0.17/0.38 thf(f88,plain,(
% 0.17/0.38 ((~ (iclval @ (icl_impl @ (icl_says @ (icl_princ @ b) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))))) = $true)),
% 0.17/0.38 inference(cnf_transformation,[],[f39])).
% 0.17/0.38 thf(f39,plain,(
% 0.17/0.38 ((~ (iclval @ (icl_impl @ (icl_says @ (icl_princ @ b) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))))) = $true)),
% 0.17/0.38 inference(fool_elimination,[],[f38])).
% 0.17/0.38 thf(f38,plain,(
% 0.17/0.38 ~(iclval @ (icl_impl @ (icl_says @ (icl_princ @ b) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))))),
% 0.17/0.38 inference(rectify,[],[f29])).
% 0.17/0.38 thf(f29,negated_conjecture,(
% 0.17/0.38 ~(iclval @ (icl_impl @ (icl_says @ (icl_princ @ b) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))))),
% 0.17/0.38 inference(negated_conjecture,[],[f28])).
% 0.17/0.38 thf(f28,conjecture,(
% 0.17/0.38 (iclval @ (icl_impl @ (icl_says @ (icl_princ @ b) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))))),
% 0.17/0.38 file('/export/starexec/sandbox2/tmp/tmp.kmXZshHxbW/Vampire---4.8_6317',handoff)).
% 0.17/0.38 thf(f247,plain,(
% 0.17/0.38 (((rel @ sK4 @ sK4) => (~ (a @ sK4))) = $true)),
% 0.17/0.38 inference(boolean_simplification,[],[f239])).
% 0.17/0.38 thf(f239,plain,(
% 0.17/0.38 ($true = ((rel @ sK4 @ sK4) => ((~ (a @ sK4)) | $false)))),
% 0.17/0.38 inference(superposition,[],[f233,f162])).
% 0.17/0.38 thf(f233,plain,(
% 0.17/0.38 ( ! [X1 : $i] : ((((rel @ sK4 @ X1) => ((~ (a @ X1)) | (b @ X1))) = $true)) )),
% 0.17/0.38 inference(beta_eta_normalization,[],[f231])).
% 0.17/0.38 thf(f231,plain,(
% 0.17/0.38 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((~ (a @ Y0)) | (b @ Y0)))) @ X1) = $true)) )),
% 0.17/0.38 inference(pi_clausification,[],[f209])).
% 0.17/0.38 thf(f209,plain,(
% 0.17/0.38 ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((~ (a @ Y0)) | (b @ Y0))))) = $true)),
% 0.17/0.38 inference(boolean_simplification,[],[f208])).
% 0.17/0.38 thf(f208,plain,(
% 0.17/0.38 (($false | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((~ (a @ Y0)) | (b @ Y0)))))) = $true)),
% 0.17/0.38 inference(forward_demodulation,[],[f207,f162])).
% 0.17/0.38 thf(f207,plain,(
% 0.17/0.38 (((b @ sK4) | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((~ (a @ Y0)) | (b @ Y0)))))) = $true)),
% 0.17/0.38 inference(boolean_simplification,[],[f204])).
% 0.17/0.38 thf(f204,plain,(
% 0.17/0.38 (($true => ((b @ sK4) | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((~ (a @ Y0)) | (b @ Y0))))))) = $true)),
% 0.17/0.38 inference(superposition,[],[f194,f159])).
% 0.17/0.38 thf(f194,plain,(
% 0.17/0.38 ( ! [X1 : $i] : ((((rel @ sK3 @ X1) => ((b @ X1) | (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => ((~ (a @ Y0)) | (b @ Y0))))))) = $true)) )),
% 0.17/0.38 inference(beta_eta_normalization,[],[f193])).
% 0.17/0.38 thf(f193,plain,(
% 0.17/0.38 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((b @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (a @ Y1)) | (b @ Y1)))))))) @ X1) = $true)) )),
% 0.17/0.38 inference(pi_clausification,[],[f182])).
% 0.17/0.38 thf(f182,plain,(
% 0.17/0.38 ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((b @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (a @ Y1)) | (b @ Y1))))))))) = $true)),
% 0.17/0.38 inference(not_proxy_clausification,[],[f153])).
% 0.17/0.38 thf(f130,plain,(
% 0.17/0.38 ( ! [X2 : $i,X1 : $i > $o] : ((((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (X1 @ Y0))))) | (X1 @ X2)) = $true)) )),
% 0.17/0.38 inference(beta_eta_normalization,[],[f129])).
% 0.17/0.38 thf(f129,plain,(
% 0.17/0.38 ( ! [X2 : $i,X1 : $i > $o] : ((((^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X1 @ Y1))))) | (X1 @ Y0))) @ X2) = $true)) )),
% 0.17/0.38 inference(pi_clausification,[],[f128])).
% 0.17/0.38 thf(f128,plain,(
% 0.17/0.38 ( ! [X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X1 @ Y1))))) | (X1 @ Y0)))) = $true)) )),
% 0.17/0.38 inference(beta_eta_normalization,[],[f127])).
% 0.17/0.38 thf(f127,plain,(
% 0.17/0.38 ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (Y0 @ Y2))))) | (Y0 @ Y1))))) @ X1) = $true)) )),
% 0.17/0.38 inference(pi_clausification,[],[f126])).
% 0.17/0.38 thf(f126,plain,(
% 0.17/0.38 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (Y0 @ Y2))))) | (Y0 @ Y1)))))))),
% 0.17/0.38 inference(beta_eta_normalization,[],[f123])).
% 0.17/0.38 thf(f123,plain,(
% 0.17/0.38 ((!! @ ($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) @ Y0)))) = $true)),
% 0.17/0.38 inference(definition_unfolding,[],[f108,f90,f110,f107])).
% 0.17/0.38 thf(f108,plain,(
% 0.17/0.38 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ rel @ Y0) @ Y0)))) = $true)),
% 0.17/0.38 inference(cnf_transformation,[],[f37])).
% 0.17/0.38 thf(f37,plain,(
% 0.17/0.38 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ rel @ Y0) @ Y0)))) = $true)),
% 0.17/0.38 inference(fool_elimination,[],[f36])).
% 0.17/0.38 thf(f36,plain,(
% 0.17/0.38 ! [X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ rel @ X0) @ X0))),
% 0.17/0.38 inference(rectify,[],[f25])).
% 0.17/0.38 thf(f25,axiom,(
% 0.17/0.38 ! [X7 : $i > $o] : (mvalid @ (mimpl @ (mbox @ rel @ X7) @ X7))),
% 0.17/0.38 file('/export/starexec/sandbox2/tmp/tmp.kmXZshHxbW/Vampire---4.8_6317',refl_axiom)).
% 0.17/0.38 % SZS output end Proof for Vampire---4
% 0.17/0.38 % (6438)------------------------------
% 0.17/0.38 % (6438)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.38 % (6438)Termination reason: Refutation
% 0.17/0.38
% 0.17/0.38 % (6438)Memory used [KB]: 5884
% 0.17/0.38 % (6438)Time elapsed: 0.023 s
% 0.17/0.38 % (6438)Instructions burned: 33 (million)
% 0.17/0.38 % (6438)------------------------------
% 0.17/0.38 % (6438)------------------------------
% 0.17/0.38 % (6426)Success in time 0.033 s
% 0.17/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------