TSTP Solution File: LCL621^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL621^1 : TPTP v8.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 00:16:14 EDT 2024
% Result : Theorem 0.14s 0.35s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : LCL621^1 : TPTP v8.2.0. Released v3.6.0.
% 0.05/0.10 % 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
% 0.10/0.30 % Computer : n009.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon May 20 00:54:07 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 This is a TH0_THM_EQU_NAR problem
% 0.10/0.30 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/benchmark/theBenchmark.p
% 0.14/0.32 % (26862)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.32 % (26866)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.32 % (26864)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.14/0.32 % (26863)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.32 % (26865)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.32 % (26867)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.14/0.32 % (26868)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.32 % (26869)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.32 % (26865)Instruction limit reached!
% 0.14/0.32 % (26865)------------------------------
% 0.14/0.32 % (26865)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.32 % (26865)Termination reason: Unknown
% 0.14/0.32 % (26866)Instruction limit reached!
% 0.14/0.32 % (26866)------------------------------
% 0.14/0.32 % (26866)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.32 % (26866)Termination reason: Unknown
% 0.14/0.32 % (26866)Termination phase: Property scanning
% 0.14/0.32
% 0.14/0.32 % (26866)Memory used [KB]: 1023
% 0.14/0.32 % (26866)Time elapsed: 0.003 s
% 0.14/0.32 % (26866)Instructions burned: 3 (million)
% 0.14/0.32 % (26866)------------------------------
% 0.14/0.32 % (26866)------------------------------
% 0.14/0.32 % (26865)Termination phase: Property scanning
% 0.14/0.32
% 0.14/0.32 % (26865)Memory used [KB]: 1023
% 0.14/0.32 % (26865)Time elapsed: 0.003 s
% 0.14/0.32 % (26865)Instructions burned: 3 (million)
% 0.14/0.32 % (26865)------------------------------
% 0.14/0.32 % (26865)------------------------------
% 0.14/0.32 % (26869)Instruction limit reached!
% 0.14/0.32 % (26869)------------------------------
% 0.14/0.32 % (26869)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.32 % (26869)Termination reason: Unknown
% 0.14/0.32 % (26869)Termination phase: Property scanning
% 0.14/0.32
% 0.14/0.32 % (26869)Memory used [KB]: 1023
% 0.14/0.32 % (26869)Time elapsed: 0.003 s
% 0.14/0.32 % (26869)Instructions burned: 3 (million)
% 0.14/0.32 % (26869)------------------------------
% 0.14/0.32 % (26869)------------------------------
% 0.14/0.32 % (26863)Instruction limit reached!
% 0.14/0.32 % (26863)------------------------------
% 0.14/0.32 % (26863)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.32 % (26863)Termination reason: Unknown
% 0.14/0.32 % (26863)Termination phase: Property scanning
% 0.14/0.32
% 0.14/0.32 % (26863)Memory used [KB]: 1023
% 0.14/0.32 % (26863)Time elapsed: 0.004 s
% 0.14/0.32 % (26863)Instructions burned: 4 (million)
% 0.14/0.32 % (26863)------------------------------
% 0.14/0.32 % (26863)------------------------------
% 0.14/0.32 % (26867)Refutation not found, incomplete strategy
% 0.14/0.32 % (26867)------------------------------
% 0.14/0.32 % (26867)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.32 % (26867)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.32
% 0.14/0.32
% 0.14/0.32 % (26867)Memory used [KB]: 5500
% 0.14/0.32 % (26867)Time elapsed: 0.004 s
% 0.14/0.32 % (26867)Instructions burned: 4 (million)
% 0.14/0.32 % (26867)------------------------------
% 0.14/0.32 % (26867)------------------------------
% 0.14/0.32 % (26868)Instruction limit reached!
% 0.14/0.32 % (26868)------------------------------
% 0.14/0.32 % (26868)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.32 % (26868)Termination reason: Unknown
% 0.14/0.32 % (26868)Termination phase: Saturation
% 0.14/0.32
% 0.14/0.32 % (26868)Memory used [KB]: 5628
% 0.14/0.32 % (26868)Time elapsed: 0.011 s
% 0.14/0.32 % (26868)Instructions burned: 18 (million)
% 0.14/0.32 % (26868)------------------------------
% 0.14/0.32 % (26868)------------------------------
% 0.14/0.33 % (26864)Instruction limit reached!
% 0.14/0.33 % (26864)------------------------------
% 0.14/0.33 % (26864)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.33 % (26864)Termination reason: Unknown
% 0.14/0.33 % (26864)Termination phase: Saturation
% 0.14/0.33
% 0.14/0.33 % (26864)Memory used [KB]: 5628
% 0.14/0.33 % (26864)Time elapsed: 0.016 s
% 0.14/0.33 % (26864)Instructions burned: 27 (million)
% 0.14/0.33 % (26864)------------------------------
% 0.14/0.33 % (26864)------------------------------
% 0.14/0.33 % (26870)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.14/0.33 % (26871)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.14/0.33 % (26872)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.33 % (26873)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.14/0.33 % (26872)Instruction limit reached!
% 0.14/0.33 % (26872)------------------------------
% 0.14/0.33 % (26872)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.33 % (26872)Termination reason: Unknown
% 0.14/0.33 % (26872)Termination phase: Property scanning
% 0.14/0.33
% 0.14/0.33 % (26872)Memory used [KB]: 1023
% 0.14/0.33 % (26872)Time elapsed: 0.003 s
% 0.14/0.33 % (26872)Instructions burned: 3 (million)
% 0.14/0.33 % (26872)------------------------------
% 0.14/0.33 % (26872)------------------------------
% 0.14/0.33 % (26874)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.34 % (26874)Instruction limit reached!
% 0.14/0.34 % (26874)------------------------------
% 0.14/0.34 % (26874)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.34 % (26874)Termination reason: Unknown
% 0.14/0.34 % (26874)Termination phase: Saturation
% 0.14/0.34
% 0.14/0.34 % (26874)Memory used [KB]: 1023
% 0.14/0.34 % (26874)Time elapsed: 0.005 s
% 0.14/0.34 % (26874)Instructions burned: 7 (million)
% 0.14/0.34 % (26874)------------------------------
% 0.14/0.34 % (26874)------------------------------
% 0.14/0.34 % (26871)Refutation not found, incomplete strategy
% 0.14/0.34 % (26871)------------------------------
% 0.14/0.34 % (26871)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.34 % (26871)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.34
% 0.14/0.34
% 0.14/0.34 % (26871)Memory used [KB]: 5628
% 0.14/0.34 % (26871)Time elapsed: 0.008 s
% 0.14/0.34 % (26871)Instructions burned: 10 (million)
% 0.14/0.34 % (26871)------------------------------
% 0.14/0.34 % (26871)------------------------------
% 0.14/0.34 % (26875)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.14/0.34 % (26876)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.34 % (26876)Instruction limit reached!
% 0.14/0.34 % (26876)------------------------------
% 0.14/0.34 % (26876)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.34 % (26876)Termination reason: Unknown
% 0.14/0.34 % (26876)Termination phase: SInE selection
% 0.14/0.34
% 0.14/0.34 % (26876)Memory used [KB]: 1023
% 0.14/0.34 % (26876)Time elapsed: 0.003 s
% 0.14/0.34 % (26876)Instructions burned: 3 (million)
% 0.14/0.34 % (26876)------------------------------
% 0.14/0.34 % (26876)------------------------------
% 0.14/0.34 % (26877)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.34 % (26875)Instruction limit reached!
% 0.14/0.34 % (26875)------------------------------
% 0.14/0.34 % (26875)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.34 % (26875)Termination reason: Unknown
% 0.14/0.34 % (26875)Termination phase: Saturation
% 0.14/0.34
% 0.14/0.34 % (26875)Memory used [KB]: 5628
% 0.14/0.34 % (26875)Time elapsed: 0.009 s
% 0.14/0.34 % (26875)Instructions burned: 16 (million)
% 0.14/0.34 % (26875)------------------------------
% 0.14/0.34 % (26875)------------------------------
% 0.14/0.35 % (26877)Instruction limit reached!
% 0.14/0.35 % (26877)------------------------------
% 0.14/0.35 % (26877)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.35 % (26877)Termination reason: Unknown
% 0.14/0.35 % (26877)Termination phase: shuffling
% 0.14/0.35
% 0.14/0.35 % (26877)Memory used [KB]: 1023
% 0.14/0.35 % (26877)Time elapsed: 0.003 s
% 0.14/0.35 % (26877)Instructions burned: 3 (million)
% 0.14/0.35 % (26877)------------------------------
% 0.14/0.35 % (26877)------------------------------
% 0.14/0.35 % (26873)First to succeed.
% 0.14/0.35 % (26870)Instruction limit reached!
% 0.14/0.35 % (26870)------------------------------
% 0.14/0.35 % (26870)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.35 % (26870)Termination reason: Unknown
% 0.14/0.35 % (26870)Termination phase: Saturation
% 0.14/0.35
% 0.14/0.35 % (26870)Memory used [KB]: 6140
% 0.14/0.35 % (26870)Time elapsed: 0.019 s
% 0.14/0.35 % (26870)Instructions burned: 38 (million)
% 0.14/0.35 % (26870)------------------------------
% 0.14/0.35 % (26870)------------------------------
% 0.14/0.35 % (26878)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.35 % (26879)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.35 % (26873)Refutation found. Thanks to Tanya!
% 0.14/0.35 % SZS status Theorem for theBenchmark
% 0.14/0.35 % SZS output start Proof for theBenchmark
% 0.14/0.35 thf(type_def_6, type, individuals: $tType).
% 0.14/0.35 thf(func_def_1, type, prop_a: $i > $o).
% 0.14/0.35 thf(func_def_2, type, prop_b: $i > $o).
% 0.14/0.35 thf(func_def_3, type, prop_c: $i > $o).
% 0.14/0.35 thf(func_def_4, type, mfalse: $i > $o).
% 0.14/0.35 thf(func_def_5, type, mtrue: $i > $o).
% 0.14/0.35 thf(func_def_6, type, mnot: ($i > $o) > $i > $o).
% 0.14/0.35 thf(func_def_8, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.35 thf(func_def_9, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.35 thf(func_def_10, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.35 thf(func_def_11, type, miff: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.35 thf(func_def_12, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.14/0.35 thf(func_def_13, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.14/0.35 thf(func_def_14, type, individuals: $tType).
% 0.14/0.35 thf(func_def_15, type, mall: (individuals > $i > $o) > $i > $o).
% 0.14/0.35 thf(func_def_16, type, mexists: (individuals > $i > $o) > $i > $o).
% 0.14/0.35 thf(func_def_17, type, mvalid: ($i > $o) > $o).
% 0.14/0.35 thf(func_def_18, type, msatisfiable: ($i > $o) > $o).
% 0.14/0.35 thf(func_def_19, type, mcountersatisfiable: ($i > $o) > $o).
% 0.14/0.35 thf(func_def_20, type, minvalid: ($i > $o) > $o).
% 0.14/0.35 thf(func_def_38, type, ph1: !>[X0: $tType]:(X0)).
% 0.14/0.35 thf(func_def_39, type, sK2: $i > $o).
% 0.14/0.35 thf(func_def_40, type, sK3: $i > $i > $o).
% 0.14/0.35 thf(func_def_41, type, sK4: $i > $o).
% 0.14/0.35 thf(f192,plain,(
% 0.14/0.35 $false),
% 0.14/0.35 inference(trivial_inequality_removal,[],[f191])).
% 0.14/0.35 thf(f191,plain,(
% 0.14/0.35 ($false = $true)),
% 0.14/0.35 inference(boolean_simplification,[],[f190])).
% 0.14/0.35 thf(f190,plain,(
% 0.14/0.35 ($true = (~ $true))),
% 0.14/0.35 inference(forward_demodulation,[],[f188,f157])).
% 0.14/0.35 thf(f157,plain,(
% 0.14/0.35 ((sK3 @ sK6 @ sK7) = $true)),
% 0.14/0.35 inference(binary_proxy_clausification,[],[f151])).
% 0.14/0.35 thf(f151,plain,(
% 0.14/0.35 ($true = ((sK4 @ sK7) & (sK3 @ sK6 @ sK7)))),
% 0.14/0.35 inference(beta_eta_normalization,[],[f148])).
% 0.14/0.35 thf(f148,plain,(
% 0.14/0.35 ($true = ((^[Y0 : $i]: ((sK4 @ Y0) & (sK3 @ sK6 @ Y0))) @ sK7))),
% 0.14/0.35 inference(sigma_clausification,[],[f141])).
% 0.14/0.35 thf(f141,plain,(
% 0.14/0.35 ((?? @ $i @ (^[Y0 : $i]: ((sK4 @ Y0) & (sK3 @ sK6 @ Y0)))) = $true)),
% 0.14/0.35 inference(boolean_simplification,[],[f140])).
% 0.14/0.35 thf(f140,plain,(
% 0.14/0.35 ($true = ($true => (?? @ $i @ (^[Y0 : $i]: ((sK4 @ Y0) & (sK3 @ sK6 @ Y0))))))),
% 0.14/0.35 inference(superposition,[],[f128,f100])).
% 0.14/0.35 thf(f100,plain,(
% 0.14/0.35 ($true = (sK3 @ sK5 @ sK6))),
% 0.14/0.35 inference(binary_proxy_clausification,[],[f98])).
% 0.14/0.35 thf(f98,plain,(
% 0.14/0.35 (((sK3 @ sK5 @ sK6) => (?? @ $i @ (^[Y0 : $i]: (((sK4 @ Y0) & (sK2 @ Y0)) & (sK3 @ sK6 @ Y0))))) = $false)),
% 0.14/0.35 inference(beta_eta_normalization,[],[f97])).
% 0.14/0.35 thf(f97,plain,(
% 0.14/0.35 ($false = ((^[Y0 : $i]: ((sK3 @ sK5 @ Y0) => (?? @ $i @ (^[Y1 : $i]: (((sK4 @ Y1) & (sK2 @ Y1)) & (sK3 @ Y0 @ Y1)))))) @ sK6))),
% 0.14/0.35 inference(sigma_clausification,[],[f96])).
% 0.14/0.35 thf(f96,plain,(
% 0.14/0.35 ($false = (!! @ $i @ (^[Y0 : $i]: ((sK3 @ sK5 @ Y0) => (?? @ $i @ (^[Y1 : $i]: (((sK4 @ Y1) & (sK2 @ Y1)) & (sK3 @ Y0 @ Y1))))))))),
% 0.14/0.35 inference(boolean_simplification,[],[f95])).
% 0.14/0.35 thf(f95,plain,(
% 0.14/0.35 (((!! @ $i @ (^[Y0 : $i]: ((sK3 @ sK5 @ Y0) => (?? @ $i @ (^[Y1 : $i]: (((sK4 @ Y1) & (sK2 @ Y1)) & (sK3 @ Y0 @ Y1))))))) | $false) = $false)),
% 0.14/0.35 inference(backward_demodulation,[],[f92,f93])).
% 0.14/0.35 thf(f93,plain,(
% 0.14/0.35 ((~ ((!! @ $i @ (^[Y0 : $i]: ((sK3 @ sK5 @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((sK4 @ Y1) & (sK3 @ Y0 @ Y1))))))) & (!! @ $i @ (^[Y0 : $i]: ((sK3 @ sK5 @ Y0) => (sK2 @ Y0)))))) = $false)),
% 0.14/0.35 inference(binary_proxy_clausification,[],[f92])).
% 0.14/0.35 thf(f92,plain,(
% 0.14/0.35 ($false = ((!! @ $i @ (^[Y0 : $i]: ((sK3 @ sK5 @ Y0) => (?? @ $i @ (^[Y1 : $i]: (((sK4 @ Y1) & (sK2 @ Y1)) & (sK3 @ Y0 @ Y1))))))) | (~ ((!! @ $i @ (^[Y0 : $i]: ((sK3 @ sK5 @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((sK4 @ Y1) & (sK3 @ Y0 @ Y1))))))) & (!! @ $i @ (^[Y0 : $i]: ((sK3 @ sK5 @ Y0) => (sK2 @ Y0))))))))),
% 0.14/0.35 inference(beta_eta_normalization,[],[f91])).
% 0.14/0.35 thf(f91,plain,(
% 0.14/0.35 ($false = ((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (?? @ $i @ (^[Y2 : $i]: (((sK4 @ Y2) & (sK2 @ Y2)) & (sK3 @ Y1 @ Y2))))))) | (~ ((!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (?? @ $i @ (^[Y2 : $i]: ((sK4 @ Y2) & (sK3 @ Y1 @ Y2))))))) & (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (sK2 @ Y1)))))))) @ sK5))),
% 0.14/0.35 inference(sigma_clausification,[],[f90])).
% 0.14/0.35 thf(f90,plain,(
% 0.14/0.35 ((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (?? @ $i @ (^[Y2 : $i]: (((sK4 @ Y2) & (sK2 @ Y2)) & (sK3 @ Y1 @ Y2))))))) | (~ ((!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (?? @ $i @ (^[Y2 : $i]: ((sK4 @ Y2) & (sK3 @ Y1 @ Y2))))))) & (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (sK2 @ Y1))))))))) = $false)),
% 0.14/0.35 inference(beta_eta_normalization,[],[f89])).
% 0.14/0.35 thf(f89,plain,(
% 0.14/0.35 ($false = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y1 @ Y2) => (?? @ $i @ (^[Y3 : $i]: (((Y0 @ Y3) & (sK2 @ Y3)) & (sK3 @ Y2 @ Y3))))))) | (~ ((!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y1 @ Y2) => (?? @ $i @ (^[Y3 : $i]: ((Y0 @ Y3) & (sK3 @ Y2 @ Y3))))))) & (!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y1 @ Y2) => (sK2 @ Y2)))))))))) @ sK4))),
% 0.14/0.35 inference(sigma_clausification,[],[f88])).
% 0.14/0.35 thf(f88,plain,(
% 0.14/0.35 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y1 @ Y2) => (?? @ $i @ (^[Y3 : $i]: (((Y0 @ Y3) & (sK2 @ Y3)) & (sK3 @ Y2 @ Y3))))))) | (~ ((!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y1 @ Y2) => (?? @ $i @ (^[Y3 : $i]: ((Y0 @ Y3) & (sK3 @ Y2 @ Y3))))))) & (!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y1 @ Y2) => (sK2 @ Y2))))))))))) = $false)),
% 0.14/0.35 inference(beta_eta_normalization,[],[f87])).
% 0.14/0.35 thf(f87,plain,(
% 0.14/0.35 ($false = ((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (?? @ $i @ (^[Y4 : $i]: (((Y1 @ Y4) & (sK2 @ Y4)) & (Y0 @ Y3 @ Y4))))))) | (~ ((!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (?? @ $i @ (^[Y4 : $i]: ((Y1 @ Y4) & (Y0 @ Y3 @ Y4))))))) & (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (sK2 @ Y3)))))))))))) @ sK3))),
% 0.14/0.35 inference(sigma_clausification,[],[f86])).
% 0.14/0.35 thf(f86,plain,(
% 0.14/0.35 ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (?? @ $i @ (^[Y4 : $i]: (((Y1 @ Y4) & (sK2 @ Y4)) & (Y0 @ Y3 @ Y4))))))) | (~ ((!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (?? @ $i @ (^[Y4 : $i]: ((Y1 @ Y4) & (Y0 @ Y3 @ Y4))))))) & (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (sK2 @ Y3))))))))))))) = $false)),
% 0.14/0.35 inference(beta_eta_normalization,[],[f85])).
% 0.14/0.35 thf(f85,plain,(
% 0.14/0.35 ($false = ((^[Y0 : $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: ((!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (?? @ $i @ (^[Y5 : $i]: (((Y2 @ Y5) & (Y0 @ Y5)) & (Y1 @ Y4 @ Y5))))))) | (~ ((!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (?? @ $i @ (^[Y5 : $i]: ((Y2 @ Y5) & (Y1 @ Y4 @ Y5))))))) & (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y0 @ Y4)))))))))))))) @ sK2))),
% 0.14/0.35 inference(sigma_clausification,[],[f82])).
% 0.14/0.35 thf(f82,plain,(
% 0.14/0.35 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: ((!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (?? @ $i @ (^[Y5 : $i]: (((Y2 @ Y5) & (Y0 @ Y5)) & (Y1 @ Y4 @ Y5))))))) | (~ ((!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (?? @ $i @ (^[Y5 : $i]: ((Y2 @ Y5) & (Y1 @ Y4 @ Y5))))))) & (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y0 @ Y4))))))))))))))))),
% 0.14/0.35 inference(not_proxy_clausification,[],[f73])).
% 0.14/0.35 thf(f73,plain,(
% 0.14/0.35 ($true = (~ (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: ((!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (?? @ $i @ (^[Y5 : $i]: (((Y2 @ Y5) & (Y0 @ Y5)) & (Y1 @ Y4 @ Y5))))))) | (~ ((!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (?? @ $i @ (^[Y5 : $i]: ((Y2 @ Y5) & (Y1 @ Y4 @ Y5))))))) & (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y0 @ Y4)))))))))))))))))),
% 0.14/0.35 inference(beta_eta_normalization,[],[f72])).
% 0.14/0.35 thf(f72,plain,(
% 0.14/0.35 ($true = (~ (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: (!! @ $i @ (^[Y4 : $i]: (Y3 @ Y4)))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i]: ((Y6 @ Y7) | (Y5 @ Y7))))))) @ ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (~ (Y5 @ Y6))))) @ Y3) @ Y4)))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) & (Y4 @ Y5))))))) @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ Y1 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (?? @ $i @ (^[Y6 : $i]: ((Y4 @ Y6) & (Y3 @ Y5 @ Y6))))))))) @ Y1 @ Y2)) @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ Y1 @ Y0)) @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ Y1 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (?? @ $i @ (^[Y6 : $i]: ((Y4 @ Y6) & (Y3 @ Y5 @ Y6))))))))) @ Y1 @ ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) & (Y4 @ Y5))))))) @ Y2 @ Y0)))))))))))))),
% 0.14/0.35 inference(definition_unfolding,[],[f66,f65,f69,f68,f54,f56,f54,f54,f56,f68])).
% 0.14/0.35 thf(f56,plain,(
% 0.14/0.35 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) & (Y0 @ Y2 @ Y3))))))))))),
% 0.14/0.35 inference(cnf_transformation,[],[f51])).
% 0.14/0.35 thf(f51,plain,(
% 0.14/0.35 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) & (Y0 @ Y2 @ Y3))))))))))),
% 0.14/0.35 inference(fool_elimination,[],[f50])).
% 0.14/0.35 thf(f50,plain,(
% 0.14/0.35 (mdia = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (? [X3] : ((X0 @ X2 @ X3) & (X1 @ X3)))))),
% 0.14/0.35 inference(rectify,[],[f9])).
% 0.14/0.35 thf(f9,axiom,(
% 0.14/0.35 (mdia = (^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (? [X2] : ((X4 @ X0 @ X2) & (X5 @ X2)))))),
% 0.14/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia)).
% 0.14/0.35 thf(f54,plain,(
% 0.14/0.35 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.14/0.35 inference(cnf_transformation,[],[f47])).
% 0.14/0.35 thf(f47,plain,(
% 0.14/0.35 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.14/0.35 inference(fool_elimination,[],[f46])).
% 0.14/0.35 thf(f46,plain,(
% 0.14/0.35 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X0 @ X2 @ X3) => (X1 @ X3)))))),
% 0.14/0.35 inference(rectify,[],[f8])).
% 0.14/0.35 thf(f8,axiom,(
% 0.14/0.35 (mbox = (^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (! [X2] : ((X4 @ X0 @ X2) => (X5 @ X2)))))),
% 0.14/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)).
% 0.14/0.35 thf(f68,plain,(
% 0.14/0.35 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 0.14/0.35 inference(cnf_transformation,[],[f21])).
% 0.14/0.35 thf(f21,plain,(
% 0.14/0.35 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 0.14/0.35 inference(fool_elimination,[],[f20])).
% 0.14/0.35 thf(f20,plain,(
% 0.14/0.35 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) & (X0 @ X2))) = mand)),
% 0.14/0.35 inference(rectify,[],[f5])).
% 0.14/0.35 thf(f5,axiom,(
% 0.14/0.35 ((^[X0 : $i > $o, X2 : $i > $o, X1 : $i] : ((X2 @ X1) & (X0 @ X1))) = mand)),
% 0.14/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand)).
% 0.14/0.35 thf(f69,plain,(
% 0.14/0.35 (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)))))),
% 0.14/0.35 inference(definition_unfolding,[],[f52,f57,f59])).
% 0.14/0.35 thf(f59,plain,(
% 0.14/0.35 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.14/0.35 inference(cnf_transformation,[],[f25])).
% 0.14/0.35 thf(f25,plain,(
% 0.14/0.35 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.14/0.35 inference(fool_elimination,[],[f24])).
% 0.14/0.35 thf(f24,plain,(
% 0.14/0.35 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.14/0.35 inference(rectify,[],[f3])).
% 0.14/0.35 thf(f3,axiom,(
% 0.14/0.35 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.14/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)).
% 0.14/0.35 thf(f57,plain,(
% 0.14/0.35 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.14/0.35 inference(cnf_transformation,[],[f43])).
% 0.14/0.35 thf(f43,plain,(
% 0.14/0.35 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.14/0.35 inference(fool_elimination,[],[f42])).
% 0.14/0.35 thf(f42,plain,(
% 0.14/0.35 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))))),
% 0.14/0.35 inference(rectify,[],[f4])).
% 0.14/0.35 thf(f4,axiom,(
% 0.14/0.35 (mor = (^[X0 : $i > $o, X2 : $i > $o, X1 : $i] : ((X0 @ X1) | (X2 @ X1))))),
% 0.14/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)).
% 0.14/0.35 thf(f52,plain,(
% 0.14/0.35 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.14/0.35 inference(cnf_transformation,[],[f29])).
% 0.14/0.35 thf(f29,plain,(
% 0.14/0.35 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.14/0.35 inference(fool_elimination,[],[f28])).
% 0.14/0.35 thf(f28,plain,(
% 0.14/0.35 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimpl)),
% 0.14/0.35 inference(rectify,[],[f6])).
% 0.14/0.35 thf(f6,axiom,(
% 0.14/0.35 ((^[X1 : $i > $o, X3 : $i > $o] : (mor @ (mnot @ X1) @ X3)) = mimpl)),
% 0.14/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimpl)).
% 0.14/0.35 thf(f65,plain,(
% 0.14/0.35 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.14/0.35 inference(cnf_transformation,[],[f33])).
% 0.14/0.35 thf(f33,plain,(
% 0.14/0.35 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.14/0.35 inference(fool_elimination,[],[f32])).
% 0.14/0.35 thf(f32,plain,(
% 0.14/0.35 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.14/0.35 inference(rectify,[],[f12])).
% 0.14/0.35 thf(f12,axiom,(
% 0.14/0.35 ((^[X5 : $i > $o] : (! [X6] : (X5 @ X6))) = mvalid)),
% 0.14/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)).
% 0.14/0.35 thf(f66,plain,(
% 0.14/0.35 ((~ (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (mvalid @ (mimpl @ (mand @ (mbox @ Y1 @ (mdia @ Y1 @ Y2)) @ (mbox @ Y1 @ Y0)) @ (mbox @ Y1 @ (mdia @ Y1 @ (mand @ Y2 @ Y0)))))))))))) = $true)),
% 0.14/0.35 inference(cnf_transformation,[],[f49])).
% 0.14/0.35 thf(f49,plain,(
% 0.14/0.35 ((~ (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (mvalid @ (mimpl @ (mand @ (mbox @ Y1 @ (mdia @ Y1 @ Y2)) @ (mbox @ Y1 @ Y0)) @ (mbox @ Y1 @ (mdia @ Y1 @ (mand @ Y2 @ Y0)))))))))))) = $true)),
% 0.14/0.35 inference(fool_elimination,[],[f48])).
% 0.14/0.35 thf(f48,plain,(
% 0.14/0.35 ~! [X0 : $i > $o,X1 : $i > $i > $o,X2 : $i > $o] : (mvalid @ (mimpl @ (mand @ (mbox @ X1 @ (mdia @ X1 @ X0)) @ (mbox @ X1 @ X2)) @ (mbox @ X1 @ (mdia @ X1 @ (mand @ X0 @ X2)))))),
% 0.14/0.35 inference(rectify,[],[f18])).
% 0.14/0.35 thf(f18,negated_conjecture,(
% 0.14/0.35 ~! [X0 : $i > $o,X4 : $i > $i > $o,X2 : $i > $o] : (mvalid @ (mimpl @ (mand @ (mbox @ X4 @ (mdia @ X4 @ X0)) @ (mbox @ X4 @ X2)) @ (mbox @ X4 @ (mdia @ X4 @ (mand @ X0 @ X2)))))),
% 0.14/0.35 inference(negated_conjecture,[],[f17])).
% 0.14/0.35 thf(f17,conjecture,(
% 0.14/0.35 ! [X0 : $i > $o,X4 : $i > $i > $o,X2 : $i > $o] : (mvalid @ (mimpl @ (mand @ (mbox @ X4 @ (mdia @ X4 @ X0)) @ (mbox @ X4 @ X2)) @ (mbox @ X4 @ (mdia @ X4 @ (mand @ X0 @ X2)))))),
% 0.14/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm)).
% 0.14/0.35 thf(f128,plain,(
% 0.14/0.35 ( ! [X1 : $i] : ((((sK3 @ sK5 @ X1) => (?? @ $i @ (^[Y0 : $i]: ((sK4 @ Y0) & (sK3 @ X1 @ Y0))))) = $true)) )),
% 0.14/0.35 inference(beta_eta_normalization,[],[f127])).
% 0.14/0.35 thf(f127,plain,(
% 0.14/0.35 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((sK3 @ sK5 @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((sK4 @ Y1) & (sK3 @ Y0 @ Y1)))))) @ X1))) )),
% 0.14/0.35 inference(pi_clausification,[],[f112])).
% 0.14/0.35 thf(f112,plain,(
% 0.14/0.35 ((!! @ $i @ (^[Y0 : $i]: ((sK3 @ sK5 @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((sK4 @ Y1) & (sK3 @ Y0 @ Y1))))))) = $true)),
% 0.14/0.35 inference(binary_proxy_clausification,[],[f108])).
% 0.14/0.35 thf(f108,plain,(
% 0.14/0.35 ($true = ((!! @ $i @ (^[Y0 : $i]: ((sK3 @ sK5 @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((sK4 @ Y1) & (sK3 @ Y0 @ Y1))))))) & (!! @ $i @ (^[Y0 : $i]: ((sK3 @ sK5 @ Y0) => (sK2 @ Y0))))))),
% 0.14/0.35 inference(not_proxy_clausification,[],[f93])).
% 0.14/0.35 thf(f188,plain,(
% 0.14/0.35 ($true = (~ (sK3 @ sK6 @ sK7)))),
% 0.14/0.35 inference(boolean_simplification,[],[f183])).
% 0.14/0.35 thf(f183,plain,(
% 0.14/0.35 ($true = ((sK3 @ sK6 @ sK7) => $false))),
% 0.14/0.35 inference(superposition,[],[f174,f164])).
% 0.14/0.35 thf(f164,plain,(
% 0.14/0.35 ($false = (sK2 @ sK7))),
% 0.14/0.35 inference(boolean_simplification,[],[f163])).
% 0.14/0.35 thf(f163,plain,(
% 0.14/0.35 ($false = ((sK2 @ sK7) & $true))),
% 0.14/0.35 inference(forward_demodulation,[],[f162,f157])).
% 0.14/0.35 thf(f162,plain,(
% 0.14/0.35 (((sK2 @ sK7) & (sK3 @ sK6 @ sK7)) = $false)),
% 0.14/0.35 inference(boolean_simplification,[],[f161])).
% 0.14/0.35 thf(f161,plain,(
% 0.14/0.35 ((($true & (sK2 @ sK7)) & (sK3 @ sK6 @ sK7)) = $false)),
% 0.14/0.35 inference(superposition,[],[f106,f160])).
% 0.14/0.35 thf(f160,plain,(
% 0.14/0.35 ($true = (sK4 @ sK7))),
% 0.14/0.35 inference(boolean_simplification,[],[f159])).
% 0.14/0.35 thf(f159,plain,(
% 0.14/0.35 ($true = ((sK4 @ sK7) & $true))),
% 0.14/0.35 inference(backward_demodulation,[],[f151,f157])).
% 0.14/0.35 thf(f106,plain,(
% 0.14/0.35 ( ! [X1 : $i] : (((((sK4 @ X1) & (sK2 @ X1)) & (sK3 @ sK6 @ X1)) = $false)) )),
% 0.14/0.35 inference(beta_eta_normalization,[],[f105])).
% 0.14/0.35 thf(f105,plain,(
% 0.14/0.35 ( ! [X1 : $i] : (($false = ((^[Y0 : $i]: (((sK4 @ Y0) & (sK2 @ Y0)) & (sK3 @ sK6 @ Y0))) @ X1))) )),
% 0.14/0.35 inference(pi_clausification,[],[f99])).
% 0.14/0.35 thf(f99,plain,(
% 0.14/0.35 ((?? @ $i @ (^[Y0 : $i]: (((sK4 @ Y0) & (sK2 @ Y0)) & (sK3 @ sK6 @ Y0)))) = $false)),
% 0.14/0.35 inference(binary_proxy_clausification,[],[f98])).
% 0.14/0.35 thf(f174,plain,(
% 0.14/0.35 ( ! [X1 : $i] : (($true = ((sK3 @ sK6 @ X1) => (sK2 @ X1)))) )),
% 0.14/0.35 inference(beta_eta_normalization,[],[f170])).
% 0.14/0.35 thf(f170,plain,(
% 0.14/0.35 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((sK3 @ sK6 @ Y0) => (sK2 @ Y0))) @ X1))) )),
% 0.14/0.35 inference(pi_clausification,[],[f155])).
% 0.14/0.35 thf(f155,plain,(
% 0.14/0.35 ((!! @ $i @ (^[Y0 : $i]: ((sK3 @ sK6 @ Y0) => (sK2 @ Y0)))) = $true)),
% 0.14/0.35 inference(boolean_simplification,[],[f154])).
% 0.14/0.35 thf(f154,plain,(
% 0.14/0.35 ($true = ($true => (!! @ $i @ (^[Y0 : $i]: ((sK3 @ sK6 @ Y0) => (sK2 @ Y0))))))),
% 0.14/0.35 inference(superposition,[],[f146,f100])).
% 0.14/0.35 thf(f146,plain,(
% 0.14/0.35 ( ! [X1 : $i] : (($true = ((sK3 @ sK5 @ X1) => (!! @ $i @ (^[Y0 : $i]: ((sK3 @ X1 @ Y0) => (sK2 @ Y0))))))) )),
% 0.14/0.35 inference(beta_eta_normalization,[],[f144])).
% 0.14/0.35 thf(f144,plain,(
% 0.14/0.35 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((sK3 @ sK5 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (sK2 @ Y1)))))) @ X1))) )),
% 0.14/0.35 inference(pi_clausification,[],[f118])).
% 0.14/0.35 thf(f118,plain,(
% 0.14/0.35 ((!! @ $i @ (^[Y0 : $i]: ((sK3 @ sK5 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (sK2 @ Y1))))))) = $true)),
% 0.14/0.35 inference(boolean_simplification,[],[f117])).
% 0.14/0.35 thf(f117,plain,(
% 0.14/0.35 ($true = ((!! @ $i @ (^[Y0 : $i]: ((sK3 @ sK5 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (sK2 @ Y1))))))) | $false))),
% 0.14/0.35 inference(boolean_simplification,[],[f116])).
% 0.14/0.35 thf(f116,plain,(
% 0.14/0.35 (((!! @ $i @ (^[Y0 : $i]: ((sK3 @ sK5 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (sK2 @ Y1))))))) | (~ $true)) = $true)),
% 0.14/0.35 inference(superposition,[],[f80,f114])).
% 0.14/0.35 thf(f114,plain,(
% 0.14/0.35 ($true = (!! @ $i @ (^[Y0 : $i]: ((sK3 @ sK5 @ Y0) => (sK2 @ Y0)))))),
% 0.14/0.35 inference(boolean_simplification,[],[f113])).
% 0.14/0.35 thf(f113,plain,(
% 0.14/0.35 (($true & (!! @ $i @ (^[Y0 : $i]: ((sK3 @ sK5 @ Y0) => (sK2 @ Y0))))) = $true)),
% 0.14/0.35 inference(backward_demodulation,[],[f108,f112])).
% 0.14/0.35 thf(f80,plain,(
% 0.14/0.35 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $i > $o] : ((((!! @ $i @ (^[Y0 : $i]: ((X1 @ X3 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((X1 @ Y0 @ Y1) => (X2 @ Y1))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((X1 @ X3 @ Y0) => (X2 @ Y0)))))) = $true)) )),
% 0.14/0.35 inference(beta_eta_normalization,[],[f79])).
% 0.14/0.35 thf(f79,plain,(
% 0.14/0.35 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $i > $o] : (($true = ((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((X1 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((X1 @ Y1 @ Y2) => (X2 @ Y2))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((X1 @ Y0 @ Y1) => (X2 @ Y1))))))) @ X3))) )),
% 0.14/0.35 inference(pi_clausification,[],[f78])).
% 0.14/0.35 thf(f78,plain,(
% 0.14/0.35 ( ! [X2 : $i > $o,X1 : $i > $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((X1 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((X1 @ Y1 @ Y2) => (X2 @ Y2))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((X1 @ Y0 @ Y1) => (X2 @ Y1)))))))))) )),
% 0.14/0.35 inference(beta_eta_normalization,[],[f77])).
% 0.14/0.35 thf(f77,plain,(
% 0.14/0.35 ( ! [X2 : $i > $o,X1 : $i > $i > $o] : (($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((X1 @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((X1 @ Y2 @ Y3) => (Y0 @ Y3))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((X1 @ Y1 @ Y2) => (Y0 @ Y2))))))))) @ X2))) )),
% 0.14/0.35 inference(pi_clausification,[],[f76])).
% 0.14/0.35 thf(f76,plain,(
% 0.14/0.35 ( ! [X1 : $i > $i > $o] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((X1 @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((X1 @ Y2 @ Y3) => (Y0 @ Y3))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((X1 @ Y1 @ Y2) => (Y0 @ Y2)))))))))))) )),
% 0.14/0.35 inference(beta_eta_normalization,[],[f75])).
% 0.14/0.35 thf(f75,plain,(
% 0.14/0.35 ( ! [X1 : $i > $i > $o] : (($true = ((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((Y0 @ Y3 @ Y4) => (Y1 @ Y4))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))) @ X1))) )),
% 0.14/0.35 inference(pi_clausification,[],[f74])).
% 0.14/0.35 thf(f74,plain,(
% 0.14/0.35 ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((Y0 @ Y3 @ Y4) => (Y1 @ Y4))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3)))))))))))) = $true)),
% 0.14/0.35 inference(beta_eta_normalization,[],[f71])).
% 0.14/0.35 thf(f71,plain,(
% 0.14/0.35 ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (Y2 @ Y3)))) @ ((^[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)))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ Y0 @ Y1) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ Y0 @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ Y0 @ Y1)))))))) = $true)),
% 0.14/0.35 inference(definition_unfolding,[],[f63,f65,f69,f54,f54,f54])).
% 0.14/0.35 thf(f63,plain,(
% 0.14/0.35 ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (mvalid @ (mimpl @ (mbox @ Y0 @ Y1) @ (mbox @ Y0 @ (mbox @ Y0 @ Y1)))))))) = $true)),
% 0.14/0.35 inference(cnf_transformation,[],[f38])).
% 0.14/0.35 thf(f38,plain,(
% 0.14/0.35 ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (mvalid @ (mimpl @ (mbox @ Y0 @ Y1) @ (mbox @ Y0 @ (mbox @ Y0 @ Y1)))))))) = $true)),
% 0.14/0.35 inference(fool_elimination,[],[f37])).
% 0.14/0.35 thf(f37,plain,(
% 0.14/0.35 ! [X0 : $i > $o,X1 : $i > $i > $o] : (mvalid @ (mimpl @ (mbox @ X1 @ X0) @ (mbox @ X1 @ (mbox @ X1 @ X0))))),
% 0.14/0.35 inference(rectify,[],[f16])).
% 0.14/0.35 thf(f16,axiom,(
% 0.14/0.35 ! [X0 : $i > $o,X4 : $i > $i > $o] : (mvalid @ (mimpl @ (mbox @ X4 @ X0) @ (mbox @ X4 @ (mbox @ X4 @ X0))))),
% 0.14/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k4)).
% 0.14/0.35 % SZS output end Proof for theBenchmark
% 0.14/0.35 % (26873)------------------------------
% 0.14/0.35 % (26873)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.35 % (26873)Termination reason: Refutation
% 0.14/0.35
% 0.14/0.35 % (26873)Memory used [KB]: 5756
% 0.14/0.35 % (26873)Time elapsed: 0.021 s
% 0.14/0.35 % (26873)Instructions burned: 30 (million)
% 0.14/0.35 % (26873)------------------------------
% 0.14/0.35 % (26873)------------------------------
% 0.14/0.35 % (26861)Success in time 0.055 s
% 0.14/0.35 % Vampire---4.8 exiting
%------------------------------------------------------------------------------