TSTP Solution File: SWV427^2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV427^2 : 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 : n008.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 10:34:30 EDT 2024
% Result : Theorem 0.24s 0.44s
% Output : Refutation 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV427^2 : TPTP v8.1.2. Released v3.6.0.
% 0.08/0.15 % 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
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 21:07:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH0_THM_EQU_NAR problem
% 0.14/0.37 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/sandbox2/tmp/tmp.4nnOU8XMFD/Vampire---4.8_29946
% 0.14/0.38 % (30114)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)
% 0.14/0.39 % (30115)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)
% 0.14/0.39 % (30116)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)
% 0.14/0.39 % (30118)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)
% 0.14/0.39 % (30117)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.39 % (30119)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)
% 0.14/0.39 % (30120)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.14/0.39 % (30122)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)
% 0.14/0.39 % (30118)Instruction limit reached!
% 0.14/0.39 % (30118)------------------------------
% 0.14/0.39 % (30118)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (30118)Termination reason: Unknown
% 0.14/0.39 % (30118)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (30118)Memory used [KB]: 1023
% 0.14/0.39 % (30118)Time elapsed: 0.003 s
% 0.14/0.39 % (30118)Instructions burned: 2 (million)
% 0.14/0.39 % (30118)------------------------------
% 0.14/0.39 % (30118)------------------------------
% 0.14/0.39 % (30117)Instruction limit reached!
% 0.14/0.39 % (30117)------------------------------
% 0.14/0.39 % (30117)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (30117)Termination reason: Unknown
% 0.14/0.39 % (30117)Termination phase: Property scanning
% 0.14/0.39
% 0.14/0.39 % (30117)Memory used [KB]: 1023
% 0.14/0.39 % (30117)Time elapsed: 0.003 s
% 0.14/0.39 % (30117)Instructions burned: 3 (million)
% 0.14/0.39 % (30117)------------------------------
% 0.14/0.39 % (30117)------------------------------
% 0.14/0.39 % (30122)Instruction limit reached!
% 0.14/0.39 % (30122)------------------------------
% 0.14/0.39 % (30122)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (30122)Termination reason: Unknown
% 0.14/0.39 % (30122)Termination phase: Property scanning
% 0.14/0.39
% 0.14/0.39 % (30122)Memory used [KB]: 1023
% 0.14/0.39 % (30122)Time elapsed: 0.004 s
% 0.14/0.39 % (30122)Instructions burned: 3 (million)
% 0.14/0.39 % (30122)------------------------------
% 0.14/0.39 % (30122)------------------------------
% 0.14/0.39 % (30115)Instruction limit reached!
% 0.14/0.39 % (30115)------------------------------
% 0.14/0.39 % (30115)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (30115)Termination reason: Unknown
% 0.14/0.39 % (30115)Termination phase: Property scanning
% 0.14/0.39
% 0.14/0.39 % (30115)Memory used [KB]: 1023
% 0.14/0.39 % (30115)Time elapsed: 0.005 s
% 0.14/0.39 % (30115)Instructions burned: 5 (million)
% 0.14/0.39 % (30115)------------------------------
% 0.14/0.39 % (30115)------------------------------
% 0.14/0.39 % (30119)Refutation not found, incomplete strategy
% 0.14/0.39 % (30119)------------------------------
% 0.14/0.39 % (30119)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (30119)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.39
% 0.14/0.39
% 0.14/0.39 % (30119)Memory used [KB]: 5500
% 0.14/0.39 % (30119)Time elapsed: 0.006 s
% 0.14/0.39 % (30119)Instructions burned: 6 (million)
% 0.14/0.39 % (30119)------------------------------
% 0.14/0.39 % (30119)------------------------------
% 0.24/0.40 % (30120)Instruction limit reached!
% 0.24/0.40 % (30120)------------------------------
% 0.24/0.40 % (30120)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.40 % (30120)Termination reason: Unknown
% 0.24/0.40 % (30120)Termination phase: Saturation
% 0.24/0.40
% 0.24/0.40 % (30120)Memory used [KB]: 5628
% 0.24/0.40 % (30120)Time elapsed: 0.013 s
% 0.24/0.40 % (30120)Instructions burned: 18 (million)
% 0.24/0.40 % (30120)------------------------------
% 0.24/0.40 % (30120)------------------------------
% 0.24/0.40 % (30130)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)
% 0.24/0.40 % (30116)Instruction limit reached!
% 0.24/0.40 % (30116)------------------------------
% 0.24/0.40 % (30116)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.40 % (30131)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)
% 0.24/0.40 % (30116)Termination reason: Unknown
% 0.24/0.40 % (30116)Termination phase: Saturation
% 0.24/0.40
% 0.24/0.40 % (30116)Memory used [KB]: 5756
% 0.24/0.40 % (30116)Time elapsed: 0.019 s
% 0.24/0.40 % (30116)Instructions burned: 27 (million)
% 0.24/0.40 % (30116)------------------------------
% 0.24/0.40 % (30116)------------------------------
% 0.24/0.40 % (30132)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)
% 0.24/0.40 % (30133)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)
% 0.24/0.41 % (30132)Instruction limit reached!
% 0.24/0.41 % (30132)------------------------------
% 0.24/0.41 % (30132)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.41 % (30132)Termination reason: Unknown
% 0.24/0.41 % (30132)Termination phase: Preprocessing 2
% 0.24/0.41
% 0.24/0.41 % (30132)Memory used [KB]: 1023
% 0.24/0.41 % (30132)Time elapsed: 0.004 s
% 0.24/0.41 % (30132)Instructions burned: 3 (million)
% 0.24/0.41 % (30132)------------------------------
% 0.24/0.41 % (30132)------------------------------
% 0.24/0.41 % (30135)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)
% 0.24/0.41 % (30135)Instruction limit reached!
% 0.24/0.41 % (30135)------------------------------
% 0.24/0.41 % (30135)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.41 % (30135)Termination reason: Unknown
% 0.24/0.41 % (30135)Termination phase: Saturation
% 0.24/0.41
% 0.24/0.41 % (30135)Memory used [KB]: 1023
% 0.24/0.41 % (30135)Time elapsed: 0.006 s
% 0.24/0.41 % (30135)Instructions burned: 7 (million)
% 0.24/0.41 % (30135)------------------------------
% 0.24/0.41 % (30135)------------------------------
% 0.24/0.41 % (30131)Instruction limit reached!
% 0.24/0.41 % (30131)------------------------------
% 0.24/0.41 % (30131)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.41 % (30131)Termination reason: Unknown
% 0.24/0.41 % (30131)Termination phase: Saturation
% 0.24/0.41
% 0.24/0.41 % (30131)Memory used [KB]: 5628
% 0.24/0.41 % (30131)Time elapsed: 0.011 s
% 0.24/0.41 % (30131)Instructions burned: 15 (million)
% 0.24/0.41 % (30131)------------------------------
% 0.24/0.41 % (30131)------------------------------
% 0.24/0.41 % (30136)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)
% 0.24/0.42 % (30140)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)
% 0.24/0.42 % (30140)Instruction limit reached!
% 0.24/0.42 % (30140)------------------------------
% 0.24/0.42 % (30140)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.42 % (30140)Termination reason: Unknown
% 0.24/0.42 % (30140)Termination phase: Preprocessing 1
% 0.24/0.42
% 0.24/0.42 % (30140)Memory used [KB]: 1023
% 0.24/0.42 % (30140)Time elapsed: 0.004 s
% 0.24/0.42 % (30140)Instructions burned: 4 (million)
% 0.24/0.42 % (30140)------------------------------
% 0.24/0.42 % (30140)------------------------------
% 0.24/0.42 % (30142)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)
% 0.24/0.42 % (30136)Instruction limit reached!
% 0.24/0.42 % (30136)------------------------------
% 0.24/0.42 % (30136)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.42 % (30136)Termination reason: Unknown
% 0.24/0.42 % (30136)Termination phase: Saturation
% 0.24/0.42
% 0.24/0.42 % (30136)Memory used [KB]: 5628
% 0.24/0.42 % (30136)Time elapsed: 0.011 s
% 0.24/0.42 % (30136)Instructions burned: 16 (million)
% 0.24/0.42 % (30136)------------------------------
% 0.24/0.42 % (30136)------------------------------
% 0.24/0.42 % (30142)Instruction limit reached!
% 0.24/0.42 % (30142)------------------------------
% 0.24/0.42 % (30142)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.42 % (30142)Termination reason: Unknown
% 0.24/0.42 % (30142)Termination phase: Property scanning
% 0.24/0.42
% 0.24/0.42 % (30142)Memory used [KB]: 1023
% 0.24/0.42 % (30142)Time elapsed: 0.004 s
% 0.24/0.42 % (30142)Instructions burned: 4 (million)
% 0.24/0.42 % (30142)------------------------------
% 0.24/0.42 % (30142)------------------------------
% 0.24/0.42 % (30130)Instruction limit reached!
% 0.24/0.42 % (30130)------------------------------
% 0.24/0.42 % (30130)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.42 % (30130)Termination reason: Unknown
% 0.24/0.42 % (30130)Termination phase: Saturation
% 0.24/0.42
% 0.24/0.42 % (30130)Memory used [KB]: 5884
% 0.24/0.42 % (30130)Time elapsed: 0.023 s
% 0.24/0.42 % (30130)Instructions burned: 37 (million)
% 0.24/0.42 % (30130)------------------------------
% 0.24/0.42 % (30130)------------------------------
% 0.24/0.43 % (30145)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)
% 0.24/0.43 % (30146)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)
% 0.24/0.43 % (30145)Instruction limit reached!
% 0.24/0.43 % (30145)------------------------------
% 0.24/0.43 % (30145)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.43 % (30145)Termination reason: Unknown
% 0.24/0.43 % (30145)Termination phase: Saturation
% 0.24/0.43
% 0.24/0.43 % (30145)Memory used [KB]: 5500
% 0.24/0.43 % (30145)Time elapsed: 0.006 s
% 0.24/0.43 % (30145)Instructions burned: 8 (million)
% 0.24/0.43 % (30145)------------------------------
% 0.24/0.43 % (30145)------------------------------
% 0.24/0.43 % (30146)Instruction limit reached!
% 0.24/0.43 % (30146)------------------------------
% 0.24/0.43 % (30146)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.43 % (30146)Termination reason: Unknown
% 0.24/0.43 % (30146)Termination phase: Property scanning
% 0.24/0.43
% 0.24/0.43 % (30146)Memory used [KB]: 1023
% 0.24/0.43 % (30146)Time elapsed: 0.004 s
% 0.24/0.43 % (30146)Instructions burned: 4 (million)
% 0.24/0.43 % (30146)------------------------------
% 0.24/0.43 % (30146)------------------------------
% 0.24/0.43 % (30133)First to succeed.
% 0.24/0.44 % (30133)Refutation found. Thanks to Tanya!
% 0.24/0.44 % SZS status Theorem for Vampire---4
% 0.24/0.44 % SZS output start Proof for Vampire---4
% 0.24/0.44 thf(type_def_6, type, individuals: $tType).
% 0.24/0.44 thf(func_def_1, type, prop_a: $i > $o).
% 0.24/0.44 thf(func_def_2, type, prop_b: $i > $o).
% 0.24/0.44 thf(func_def_3, type, prop_c: $i > $o).
% 0.24/0.44 thf(func_def_4, type, mfalse: $i > $o).
% 0.24/0.44 thf(func_def_5, type, mtrue: $i > $o).
% 0.24/0.44 thf(func_def_6, type, mnot: ($i > $o) > $i > $o).
% 0.24/0.44 thf(func_def_8, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.44 thf(func_def_9, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.44 thf(func_def_10, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.44 thf(func_def_11, type, miff: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.44 thf(func_def_12, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.24/0.44 thf(func_def_13, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.24/0.44 thf(func_def_14, type, individuals: $tType).
% 0.24/0.44 thf(func_def_15, type, mall: (individuals > $i > $o) > $i > $o).
% 0.24/0.44 thf(func_def_16, type, mexists: (individuals > $i > $o) > $i > $o).
% 0.24/0.44 thf(func_def_17, type, mvalid: ($i > $o) > $o).
% 0.24/0.44 thf(func_def_18, type, msatisfiable: ($i > $o) > $o).
% 0.24/0.44 thf(func_def_19, type, mcountersatisfiable: ($i > $o) > $o).
% 0.24/0.44 thf(func_def_20, type, minvalid: ($i > $o) > $o).
% 0.24/0.44 thf(func_def_21, type, rel: $i > $i > $o).
% 0.24/0.44 thf(func_def_22, type, icl_atom: ($i > $o) > $i > $o).
% 0.24/0.44 thf(func_def_23, type, icl_princ: ($i > $o) > $i > $o).
% 0.24/0.44 thf(func_def_24, type, icl_and: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.44 thf(func_def_25, type, icl_or: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.44 thf(func_def_26, type, icl_impl: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.44 thf(func_def_27, type, icl_true: $i > $o).
% 0.24/0.44 thf(func_def_28, type, icl_false: $i > $o).
% 0.24/0.44 thf(func_def_29, type, icl_says: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.44 thf(func_def_30, type, iclval: ($i > $o) > $o).
% 0.24/0.44 thf(func_def_31, type, s: $i > $o).
% 0.24/0.44 thf(func_def_32, type, a: $i > $o).
% 0.24/0.44 thf(func_def_48, type, ph1: !>[X0: $tType]:(X0)).
% 0.24/0.44 thf(f330,plain,(
% 0.24/0.44 $false),
% 0.24/0.44 inference(trivial_inequality_removal,[],[f329])).
% 0.24/0.44 thf(f329,plain,(
% 0.24/0.44 ($false = $true)),
% 0.24/0.44 inference(beta_eta_normalization,[],[f328])).
% 0.24/0.44 thf(f328,plain,(
% 0.24/0.44 ($false = ((^[Y0 : $i]: ($true)) @ sK7))),
% 0.24/0.44 inference(sigma_clausification,[],[f317])).
% 0.24/0.44 thf(f317,plain,(
% 0.24/0.44 ($false = (!! @ $i @ (^[Y0 : $i]: ($true))))),
% 0.24/0.44 inference(not_proxy_clausification,[],[f286])).
% 0.24/0.44 thf(f286,plain,(
% 0.24/0.44 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ($true)))))),
% 0.24/0.44 inference(boolean_simplification,[],[f285])).
% 0.24/0.44 thf(f285,plain,(
% 0.24/0.44 ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (rel @ sK4 @ Y0))))) = $true)),
% 0.24/0.44 inference(boolean_simplification,[],[f284])).
% 0.24/0.44 thf(f284,plain,(
% 0.24/0.44 (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (rel @ sK4 @ Y0)))))) = $true)),
% 0.24/0.44 inference(superposition,[],[f125,f280])).
% 0.24/0.44 thf(f280,plain,(
% 0.24/0.44 ($false = (rel @ sK4 @ sK4))),
% 0.24/0.44 inference(not_proxy_clausification,[],[f269])).
% 0.24/0.44 thf(f269,plain,(
% 0.24/0.44 ((~ (rel @ sK4 @ sK4)) = $true)),
% 0.24/0.44 inference(boolean_simplification,[],[f268])).
% 0.24/0.44 thf(f268,plain,(
% 0.24/0.44 (((rel @ sK4 @ sK4) => $false) = $true)),
% 0.24/0.44 inference(forward_demodulation,[],[f264,f160])).
% 0.24/0.44 thf(f160,plain,(
% 0.24/0.44 ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (s @ Y0)))))),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f151])).
% 0.24/0.44 thf(f151,plain,(
% 0.24/0.44 (((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (s @ Y0)))) | (a @ sK4)) = $false)),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f150])).
% 0.24/0.44 thf(f150,plain,(
% 0.24/0.44 ($false = ((rel @ sK3 @ sK4) => ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (s @ Y0)))) | (a @ sK4))))),
% 0.24/0.44 inference(beta_eta_normalization,[],[f149])).
% 0.24/0.44 thf(f149,plain,(
% 0.24/0.44 ($false = ((^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0)))) @ sK4))),
% 0.24/0.44 inference(sigma_clausification,[],[f146])).
% 0.24/0.44 thf(f146,plain,(
% 0.24/0.44 ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0))))))),
% 0.24/0.44 inference(boolean_simplification,[],[f145])).
% 0.24/0.44 thf(f145,plain,(
% 0.24/0.44 ($false = ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0))))) | $false))),
% 0.24/0.44 inference(backward_demodulation,[],[f142,f143])).
% 0.24/0.44 thf(f143,plain,(
% 0.24/0.44 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (a @ Y1))))) | (a @ Y0)))))))),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f142])).
% 0.24/0.44 thf(f142,plain,(
% 0.24/0.44 ($false = ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (a @ Y1))))) | (a @ Y0))))))))),
% 0.24/0.44 inference(boolean_simplification,[],[f141])).
% 0.24/0.44 thf(f141,plain,(
% 0.24/0.44 ($false = ($true => ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (a @ Y1))))) | (a @ Y0)))))))))),
% 0.24/0.44 inference(backward_demodulation,[],[f138,f140])).
% 0.24/0.44 thf(f140,plain,(
% 0.24/0.44 ((rel @ sK2 @ sK3) = $true)),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f138])).
% 0.24/0.44 thf(f138,plain,(
% 0.24/0.44 (((rel @ sK2 @ sK3) => ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (a @ Y1))))) | (a @ Y0)))))))) = $false)),
% 0.24/0.44 inference(beta_eta_normalization,[],[f137])).
% 0.24/0.44 thf(f137,plain,(
% 0.24/0.44 ($false = ((^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (a @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3)))) | (a @ Y2))))) | (a @ Y1))))))))) @ sK3))),
% 0.24/0.44 inference(sigma_clausification,[],[f136])).
% 0.24/0.44 thf(f136,plain,(
% 0.24/0.44 ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (a @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3)))) | (a @ Y2))))) | (a @ Y1)))))))))) = $false)),
% 0.24/0.44 inference(beta_eta_normalization,[],[f135])).
% 0.24/0.44 thf(f135,plain,(
% 0.24/0.44 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3)))) | (a @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (s @ Y4)))) | (a @ Y3))))) | (a @ Y2))))))))))) @ sK2))),
% 0.24/0.44 inference(sigma_clausification,[],[f132])).
% 0.24/0.44 thf(f132,plain,(
% 0.24/0.44 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3)))) | (a @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (s @ Y4)))) | (a @ Y3))))) | (a @ Y2)))))))))))))),
% 0.24/0.44 inference(not_proxy_clausification,[],[f121])).
% 0.24/0.44 thf(f121,plain,(
% 0.24/0.44 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3)))) | (a @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (s @ Y4)))) | (a @ Y3))))) | (a @ Y2))))))))))))) = $true)),
% 0.24/0.44 inference(beta_eta_normalization,[],[f117])).
% 0.24/0.44 thf(f117,plain,(
% 0.24/0.44 ((~ ((^[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]: ((Y5 @ Y6) | (Y4 @ 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]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ a) @ ((^[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]: ((Y3 @ Y4) | (Y2 @ 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]: ((Y3 @ Y4) | (Y2 @ 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))))) = $true)),
% 0.24/0.44 inference(definition_unfolding,[],[f95,f115,f111,f114,f88,f114,f88,f108,f114,f88,f108])).
% 0.24/0.44 thf(f108,plain,(
% 0.24/0.44 (icl_atom = (^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)))),
% 0.24/0.44 inference(definition_unfolding,[],[f79,f96])).
% 0.24/0.44 thf(f96,plain,(
% 0.24/0.44 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.24/0.44 inference(cnf_transformation,[],[f74])).
% 0.24/0.44 thf(f74,plain,(
% 0.24/0.44 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.24/0.44 inference(fool_elimination,[],[f73])).
% 0.24/0.44 thf(f73,plain,(
% 0.24/0.44 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X0 @ X2 @ X3) => (X1 @ X3)))))),
% 0.24/0.44 inference(rectify,[],[f8])).
% 0.24/0.44 thf(f8,axiom,(
% 0.24/0.44 (mbox = (^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (! [X2] : ((X4 @ X0 @ X2) => (X5 @ X2)))))),
% 0.24/0.44 file('/export/starexec/sandbox2/tmp/tmp.4nnOU8XMFD/Vampire---4.8_29946',mbox)).
% 0.24/0.44 thf(f79,plain,(
% 0.24/0.44 (icl_atom = (^[Y0 : $i > $o]: (mbox @ rel @ Y0)))),
% 0.24/0.44 inference(cnf_transformation,[],[f62])).
% 0.24/0.44 thf(f62,plain,(
% 0.24/0.44 (icl_atom = (^[Y0 : $i > $o]: (mbox @ rel @ Y0)))),
% 0.24/0.44 inference(fool_elimination,[],[f61])).
% 0.24/0.44 thf(f61,plain,(
% 0.24/0.44 (icl_atom = (^[X0 : $i > $o] : (mbox @ rel @ X0)))),
% 0.24/0.44 inference(rectify,[],[f16])).
% 0.24/0.44 thf(f16,axiom,(
% 0.24/0.44 (icl_atom = (^[X5 : $i > $o] : (mbox @ rel @ X5)))),
% 0.24/0.44 file('/export/starexec/sandbox2/tmp/tmp.4nnOU8XMFD/Vampire---4.8_29946',icl_atom)).
% 0.24/0.44 thf(f88,plain,(
% 0.24/0.44 (icl_princ = (^[Y0 : $i > $o]: (Y0)))),
% 0.24/0.44 inference(cnf_transformation,[],[f66])).
% 0.24/0.44 thf(f66,plain,(
% 0.24/0.44 (icl_princ = (^[Y0 : $i > $o]: (Y0)))),
% 0.24/0.44 inference(fool_elimination,[],[f65])).
% 0.24/0.44 thf(f65,plain,(
% 0.24/0.44 (icl_princ = (^[X0 : $i > $o] : (X0)))),
% 0.24/0.44 inference(rectify,[],[f17])).
% 0.24/0.44 thf(f17,axiom,(
% 0.24/0.44 (icl_princ = (^[X5 : $i > $o] : (X5)))),
% 0.24/0.44 file('/export/starexec/sandbox2/tmp/tmp.4nnOU8XMFD/Vampire---4.8_29946',icl_princ)).
% 0.24/0.44 thf(f114,plain,(
% 0.24/0.44 (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]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ Y0 @ Y1))))))),
% 0.24/0.44 inference(definition_unfolding,[],[f83,f96,f92])).
% 0.24/0.44 thf(f92,plain,(
% 0.24/0.44 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.24/0.44 inference(cnf_transformation,[],[f42])).
% 0.24/0.44 thf(f42,plain,(
% 0.24/0.44 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.24/0.44 inference(fool_elimination,[],[f41])).
% 0.24/0.44 thf(f41,plain,(
% 0.24/0.44 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))) = mor)),
% 0.24/0.44 inference(rectify,[],[f4])).
% 0.24/0.44 thf(f4,axiom,(
% 0.24/0.44 ((^[X0 : $i > $o, X2 : $i > $o, X1 : $i] : ((X0 @ X1) | (X2 @ X1))) = mor)),
% 0.24/0.44 file('/export/starexec/sandbox2/tmp/tmp.4nnOU8XMFD/Vampire---4.8_29946',mor)).
% 0.24/0.44 thf(f83,plain,(
% 0.24/0.44 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mor @ Y0 @ Y1))))))),
% 0.24/0.44 inference(cnf_transformation,[],[f49])).
% 0.24/0.44 thf(f49,plain,(
% 0.24/0.44 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mor @ Y0 @ Y1))))))),
% 0.24/0.44 inference(fool_elimination,[],[f48])).
% 0.24/0.44 thf(f48,plain,(
% 0.24/0.44 ((^[X0 : $i > $o, X1 : $i > $o] : (mbox @ rel @ (mor @ X0 @ X1))) = icl_says)),
% 0.24/0.44 inference(rectify,[],[f23])).
% 0.24/0.44 thf(f23,axiom,(
% 0.24/0.44 ((^[X7 : $i > $o, X9 : $i > $o] : (mbox @ rel @ (mor @ X7 @ X9))) = icl_says)),
% 0.24/0.44 file('/export/starexec/sandbox2/tmp/tmp.4nnOU8XMFD/Vampire---4.8_29946',icl_says)).
% 0.24/0.44 thf(f111,plain,(
% 0.24/0.44 (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]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))))),
% 0.24/0.44 inference(definition_unfolding,[],[f80,f96,f106])).
% 0.24/0.44 thf(f106,plain,(
% 0.24/0.44 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.24/0.44 inference(definition_unfolding,[],[f104,f92,f100])).
% 0.24/0.44 thf(f100,plain,(
% 0.24/0.44 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.24/0.44 inference(cnf_transformation,[],[f54])).
% 0.24/0.44 thf(f54,plain,(
% 0.24/0.44 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.24/0.44 inference(fool_elimination,[],[f53])).
% 0.24/0.44 thf(f53,plain,(
% 0.24/0.44 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.24/0.44 inference(rectify,[],[f3])).
% 0.24/0.44 thf(f3,axiom,(
% 0.24/0.44 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.24/0.44 file('/export/starexec/sandbox2/tmp/tmp.4nnOU8XMFD/Vampire---4.8_29946',mnot)).
% 0.24/0.44 thf(f104,plain,(
% 0.24/0.44 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.24/0.44 inference(cnf_transformation,[],[f60])).
% 0.24/0.44 thf(f60,plain,(
% 0.24/0.44 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.24/0.44 inference(fool_elimination,[],[f59])).
% 0.24/0.44 thf(f59,plain,(
% 0.24/0.44 (mimpl = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 0.24/0.44 inference(rectify,[],[f6])).
% 0.24/0.44 thf(f6,axiom,(
% 0.24/0.44 (mimpl = (^[X1 : $i > $o, X3 : $i > $o] : (mor @ (mnot @ X1) @ X3)))),
% 0.24/0.44 file('/export/starexec/sandbox2/tmp/tmp.4nnOU8XMFD/Vampire---4.8_29946',mimpl)).
% 0.24/0.44 thf(f80,plain,(
% 0.24/0.44 (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.24/0.44 inference(cnf_transformation,[],[f40])).
% 0.24/0.44 thf(f40,plain,(
% 0.24/0.44 (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.24/0.44 inference(fool_elimination,[],[f39])).
% 0.24/0.44 thf(f39,plain,(
% 0.24/0.44 ((^[X0 : $i > $o, X1 : $i > $o] : (mbox @ rel @ (mimpl @ X0 @ X1))) = icl_impl)),
% 0.24/0.44 inference(rectify,[],[f20])).
% 0.24/0.44 thf(f20,axiom,(
% 0.24/0.44 ((^[X7 : $i > $o, X8 : $i > $o] : (mbox @ rel @ (mimpl @ X7 @ X8))) = icl_impl)),
% 0.24/0.44 file('/export/starexec/sandbox2/tmp/tmp.4nnOU8XMFD/Vampire---4.8_29946',icl_impl)).
% 0.24/0.44 thf(f115,plain,(
% 0.24/0.44 (iclval = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)))),
% 0.24/0.44 inference(definition_unfolding,[],[f86,f94])).
% 0.24/0.44 thf(f94,plain,(
% 0.24/0.44 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.24/0.44 inference(cnf_transformation,[],[f58])).
% 0.24/0.44 thf(f58,plain,(
% 0.24/0.44 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.24/0.44 inference(fool_elimination,[],[f57])).
% 0.24/0.44 thf(f57,plain,(
% 0.24/0.44 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.24/0.44 inference(rectify,[],[f12])).
% 0.24/0.44 thf(f12,axiom,(
% 0.24/0.44 ((^[X5 : $i > $o] : (! [X6] : (X5 @ X6))) = mvalid)),
% 0.24/0.44 file('/export/starexec/sandbox2/tmp/tmp.4nnOU8XMFD/Vampire---4.8_29946',mvalid)).
% 0.24/0.44 thf(f86,plain,(
% 0.24/0.44 (iclval = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
% 0.24/0.44 inference(cnf_transformation,[],[f52])).
% 0.24/0.44 thf(f52,plain,(
% 0.24/0.44 (iclval = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
% 0.24/0.44 inference(fool_elimination,[],[f24])).
% 0.24/0.44 thf(f24,axiom,(
% 0.24/0.44 (iclval = (^[X0 : $i > $o] : (mvalid @ X0)))),
% 0.24/0.44 file('/export/starexec/sandbox2/tmp/tmp.4nnOU8XMFD/Vampire---4.8_29946',icl_s4_valid)).
% 0.24/0.44 thf(f95,plain,(
% 0.24/0.44 ((~ (iclval @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s))))) = $true)),
% 0.24/0.44 inference(cnf_transformation,[],[f72])).
% 0.24/0.44 thf(f72,plain,(
% 0.24/0.44 ((~ (iclval @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s))))) = $true)),
% 0.24/0.44 inference(fool_elimination,[],[f71])).
% 0.24/0.44 thf(f71,plain,(
% 0.24/0.44 ~(iclval @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s))))),
% 0.24/0.44 inference(rectify,[],[f28])).
% 0.24/0.44 thf(f28,negated_conjecture,(
% 0.24/0.44 ~(iclval @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s))))),
% 0.24/0.44 inference(negated_conjecture,[],[f27])).
% 0.24/0.44 thf(f27,conjecture,(
% 0.24/0.44 (iclval @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s))))),
% 0.24/0.44 file('/export/starexec/sandbox2/tmp/tmp.4nnOU8XMFD/Vampire---4.8_29946',idem)).
% 0.24/0.44 thf(f264,plain,(
% 0.24/0.44 (((rel @ sK4 @ sK4) => (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (s @ Y0))))) = $true)),
% 0.24/0.44 inference(boolean_simplification,[],[f258])).
% 0.24/0.44 thf(f258,plain,(
% 0.24/0.44 (((rel @ sK4 @ sK4) => ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (s @ Y0)))) | $false)) = $true)),
% 0.24/0.44 inference(superposition,[],[f249,f162])).
% 0.24/0.44 thf(f162,plain,(
% 0.24/0.44 ($false = (a @ sK4))),
% 0.24/0.44 inference(boolean_simplification,[],[f161])).
% 0.24/0.44 thf(f161,plain,(
% 0.24/0.44 ($false = ($false | (a @ sK4)))),
% 0.24/0.44 inference(backward_demodulation,[],[f151,f160])).
% 0.24/0.44 thf(f249,plain,(
% 0.24/0.44 ( ! [X1 : $i] : ((((rel @ sK4 @ X1) => ((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (s @ Y0)))) | (a @ X1))) = $true)) )),
% 0.24/0.44 inference(beta_eta_normalization,[],[f247])).
% 0.24/0.44 thf(f247,plain,(
% 0.24/0.44 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0)))) @ X1) = $true)) )),
% 0.24/0.44 inference(pi_clausification,[],[f192])).
% 0.24/0.44 thf(f192,plain,(
% 0.24/0.44 ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0))))) = $true)),
% 0.24/0.44 inference(boolean_simplification,[],[f191])).
% 0.24/0.44 thf(f191,plain,(
% 0.24/0.44 (($true => (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0)))))) = $true)),
% 0.24/0.44 inference(forward_demodulation,[],[f190,f152])).
% 0.24/0.44 thf(f152,plain,(
% 0.24/0.44 ((rel @ sK3 @ sK4) = $true)),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f150])).
% 0.24/0.44 thf(f190,plain,(
% 0.24/0.44 (((rel @ sK3 @ sK4) => (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0)))))) = $true)),
% 0.24/0.44 inference(boolean_simplification,[],[f185])).
% 0.24/0.44 thf(f185,plain,(
% 0.24/0.44 (((rel @ sK3 @ sK4) => ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0))))) | $false)) = $true)),
% 0.24/0.44 inference(superposition,[],[f181,f162])).
% 0.24/0.44 thf(f181,plain,(
% 0.24/0.44 ( ! [X1 : $i] : ((((rel @ sK3 @ X1) => ((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0))))) | (a @ X1))) = $true)) )),
% 0.24/0.44 inference(beta_eta_normalization,[],[f180])).
% 0.24/0.44 thf(f180,plain,(
% 0.24/0.44 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (a @ Y1))))) | (a @ Y0)))) @ X1) = $true)) )),
% 0.24/0.44 inference(pi_clausification,[],[f173])).
% 0.24/0.44 thf(f173,plain,(
% 0.24/0.44 ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (a @ Y1))))) | (a @ Y0))))) = $true)),
% 0.24/0.44 inference(not_proxy_clausification,[],[f143])).
% 0.24/0.44 thf(f125,plain,(
% 0.24/0.44 ( ! [X2 : $i,X1 : $i > $o] : ((((X1 @ X2) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (X1 @ Y0)))))) = $true)) )),
% 0.24/0.44 inference(beta_eta_normalization,[],[f124])).
% 0.24/0.44 thf(f124,plain,(
% 0.24/0.44 ( ! [X2 : $i,X1 : $i > $o] : ((((^[Y0 : $i]: ((X1 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X1 @ Y1))))))) @ X2) = $true)) )),
% 0.24/0.44 inference(pi_clausification,[],[f123])).
% 0.24/0.44 thf(f123,plain,(
% 0.24/0.44 ( ! [X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X1 @ Y1)))))))) = $true)) )),
% 0.24/0.44 inference(beta_eta_normalization,[],[f122])).
% 0.24/0.44 thf(f122,plain,(
% 0.24/0.44 ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (Y0 @ Y2))))))))) @ X1) = $true)) )),
% 0.24/0.44 inference(pi_clausification,[],[f119])).
% 0.24/0.44 thf(f119,plain,(
% 0.24/0.44 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (Y0 @ Y2)))))))))) = $true)),
% 0.24/0.44 inference(beta_eta_normalization,[],[f118])).
% 0.24/0.44 thf(f118,plain,(
% 0.24/0.44 ((!! @ ($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]: ((Y4 @ Y5) | (Y3 @ 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)))) = $true)),
% 0.24/0.44 inference(definition_unfolding,[],[f98,f94,f106,f96])).
% 0.24/0.44 thf(f98,plain,(
% 0.24/0.44 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ rel @ Y0) @ Y0)))) = $true)),
% 0.24/0.44 inference(cnf_transformation,[],[f56])).
% 0.24/0.44 thf(f56,plain,(
% 0.24/0.44 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ rel @ Y0) @ Y0)))) = $true)),
% 0.24/0.44 inference(fool_elimination,[],[f55])).
% 0.24/0.44 thf(f55,plain,(
% 0.24/0.44 ! [X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ rel @ X0) @ X0))),
% 0.24/0.44 inference(rectify,[],[f25])).
% 0.24/0.44 thf(f25,axiom,(
% 0.24/0.44 ! [X7 : $i > $o] : (mvalid @ (mimpl @ (mbox @ rel @ X7) @ X7))),
% 0.24/0.44 file('/export/starexec/sandbox2/tmp/tmp.4nnOU8XMFD/Vampire---4.8_29946',refl_axiom)).
% 0.24/0.44 % SZS output end Proof for Vampire---4
% 0.24/0.44 % (30133)------------------------------
% 0.24/0.44 % (30133)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.44 % (30133)Termination reason: Refutation
% 0.24/0.44
% 0.24/0.44 % (30133)Memory used [KB]: 5884
% 0.24/0.44 % (30133)Time elapsed: 0.031 s
% 0.24/0.44 % (30133)Instructions burned: 40 (million)
% 0.24/0.44 % (30133)------------------------------
% 0.24/0.44 % (30133)------------------------------
% 0.24/0.44 % (30110)Success in time 0.046 s
% 0.24/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------