TSTP Solution File: LCL619^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL619^1 : 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 : n007.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 00:16:13 EDT 2024
% Result : Theorem 0.23s 0.45s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL619^1 : TPTP v8.2.0. Released v3.6.0.
% 0.12/0.15 % 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
% 0.16/0.37 % Computer : n007.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon May 20 02:41:08 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a TH0_THM_EQU_NAR problem
% 0.16/0.37 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/benchmark/theBenchmark.p
% 0.16/0.39 % (32200)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)
% 0.16/0.39 % (32198)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.16/0.39 % (32199)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)
% 0.16/0.39 % (32203)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)
% 0.16/0.39 % (32202)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)
% 0.16/0.39 % (32202)Instruction limit reached!
% 0.16/0.39 % (32202)------------------------------
% 0.16/0.39 % (32202)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (32202)Termination reason: Unknown
% 0.16/0.39 % (32202)Termination phase: shuffling
% 0.16/0.39
% 0.16/0.39 % (32202)Memory used [KB]: 1023
% 0.16/0.39 % (32202)Time elapsed: 0.003 s
% 0.16/0.39 % (32202)Instructions burned: 2 (million)
% 0.16/0.39 % (32202)------------------------------
% 0.16/0.39 % (32202)------------------------------
% 0.16/0.40 % (32199)Instruction limit reached!
% 0.16/0.40 % (32199)------------------------------
% 0.16/0.40 % (32199)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (32200)Instruction limit reached!
% 0.16/0.40 % (32200)------------------------------
% 0.16/0.40 % (32200)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (32199)Termination reason: Unknown
% 0.16/0.40 % (32199)Termination phase: Saturation
% 0.16/0.40
% 0.16/0.40 % (32199)Memory used [KB]: 5500
% 0.16/0.40 % (32199)Time elapsed: 0.005 s
% 0.16/0.40 % (32199)Instructions burned: 5 (million)
% 0.16/0.40 % (32199)------------------------------
% 0.16/0.40 % (32199)------------------------------
% 0.16/0.40 % (32200)Termination reason: Unknown
% 0.16/0.40 % (32200)Termination phase: Saturation
% 0.16/0.40
% 0.16/0.40 % (32200)Memory used [KB]: 5628
% 0.16/0.40 % (32200)Time elapsed: 0.011 s
% 0.16/0.40 % (32200)Instructions burned: 27 (million)
% 0.16/0.40 % (32200)------------------------------
% 0.16/0.40 % (32200)------------------------------
% 0.16/0.40 % (32203)Refutation not found, incomplete strategy
% 0.16/0.40 % (32203)------------------------------
% 0.16/0.40 % (32203)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (32203)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.40
% 0.16/0.40
% 0.16/0.40 % (32201)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.40 % (32203)Memory used [KB]: 5500
% 0.16/0.40 % (32203)Time elapsed: 0.005 s
% 0.16/0.40 % (32203)Instructions burned: 4 (million)
% 0.16/0.40 % (32203)------------------------------
% 0.16/0.40 % (32203)------------------------------
% 0.16/0.40 % (32201)Instruction limit reached!
% 0.16/0.40 % (32201)------------------------------
% 0.16/0.40 % (32201)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (32201)Termination reason: Unknown
% 0.16/0.40 % (32201)Termination phase: shuffling
% 0.16/0.40
% 0.16/0.40 % (32201)Memory used [KB]: 1023
% 0.16/0.40 % (32201)Time elapsed: 0.003 s
% 0.16/0.40 % (32201)Instructions burned: 2 (million)
% 0.16/0.40 % (32201)------------------------------
% 0.16/0.40 % (32201)------------------------------
% 0.16/0.40 % (32204)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.16/0.40 % (32208)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)
% 0.16/0.40 % (32208)Instruction limit reached!
% 0.16/0.40 % (32208)------------------------------
% 0.16/0.40 % (32208)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (32208)Termination reason: Unknown
% 0.16/0.40 % (32208)Termination phase: Saturation
% 0.16/0.40
% 0.16/0.40 % (32208)Memory used [KB]: 5500
% 0.16/0.40 % (32208)Time elapsed: 0.003 s
% 0.16/0.40 % (32208)Instructions burned: 5 (million)
% 0.16/0.40 % (32208)------------------------------
% 0.16/0.40 % (32208)------------------------------
% 0.16/0.41 % (32204)Instruction limit reached!
% 0.16/0.41 % (32204)------------------------------
% 0.16/0.41 % (32204)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (32204)Termination reason: Unknown
% 0.16/0.41 % (32204)Termination phase: Saturation
% 0.16/0.41
% 0.16/0.41 % (32204)Memory used [KB]: 5628
% 0.16/0.41 % (32204)Time elapsed: 0.011 s
% 0.16/0.41 % (32204)Instructions burned: 19 (million)
% 0.16/0.41 % (32204)------------------------------
% 0.16/0.41 % (32204)------------------------------
% 0.16/0.41 % (32207)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)
% 0.16/0.41 % (32209)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)
% 0.16/0.41 % (32211)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.16/0.41 % (32210)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.41 % (32205)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)
% 0.16/0.42 % (32205)Instruction limit reached!
% 0.16/0.42 % (32205)------------------------------
% 0.16/0.42 % (32205)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.42 % (32205)Termination reason: Unknown
% 0.16/0.42 % (32205)Termination phase: Property scanning
% 0.16/0.42
% 0.16/0.42 % (32205)Memory used [KB]: 1023
% 0.16/0.42 % (32205)Time elapsed: 0.005 s
% 0.16/0.42 % (32205)Instructions burned: 3 (million)
% 0.16/0.42 % (32205)------------------------------
% 0.16/0.42 % (32205)------------------------------
% 0.16/0.42 % (32206)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)
% 0.16/0.42 % (32210)Instruction limit reached!
% 0.16/0.42 % (32210)------------------------------
% 0.16/0.42 % (32210)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.42 % (32210)Termination reason: Unknown
% 0.16/0.42 % (32210)Termination phase: Saturation
% 0.16/0.42
% 0.16/0.42 % (32210)Memory used [KB]: 1023
% 0.16/0.42 % (32210)Time elapsed: 0.006 s
% 0.16/0.42 % (32210)Instructions burned: 8 (million)
% 0.16/0.42 % (32210)------------------------------
% 0.16/0.42 % (32210)------------------------------
% 0.16/0.42 % (32207)Refutation not found, incomplete strategy
% 0.16/0.42 % (32207)------------------------------
% 0.16/0.42 % (32207)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.42 % (32207)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.42
% 0.16/0.42
% 0.16/0.42 % (32207)Memory used [KB]: 5628
% 0.16/0.42 % (32207)Time elapsed: 0.008 s
% 0.16/0.42 % (32207)Instructions burned: 9 (million)
% 0.16/0.42 % (32207)------------------------------
% 0.16/0.42 % (32207)------------------------------
% 0.16/0.42 % (32211)Instruction limit reached!
% 0.16/0.42 % (32211)------------------------------
% 0.16/0.42 % (32211)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.42 % (32211)Termination reason: Unknown
% 0.16/0.42 % (32211)Termination phase: Saturation
% 0.16/0.42
% 0.16/0.42 % (32211)Memory used [KB]: 5628
% 0.16/0.42 % (32211)Time elapsed: 0.008 s
% 0.16/0.42 % (32211)Instructions burned: 16 (million)
% 0.16/0.42 % (32211)------------------------------
% 0.16/0.42 % (32211)------------------------------
% 0.23/0.42 % (32212)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)
% 0.23/0.42 % (32212)Instruction limit reached!
% 0.23/0.42 % (32212)------------------------------
% 0.23/0.42 % (32212)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (32212)Termination reason: Unknown
% 0.23/0.42 % (32212)Termination phase: Preprocessing 3
% 0.23/0.42
% 0.23/0.42 % (32212)Memory used [KB]: 1023
% 0.23/0.42 % (32212)Time elapsed: 0.003 s
% 0.23/0.42 % (32212)Instructions burned: 3 (million)
% 0.23/0.42 % (32212)------------------------------
% 0.23/0.42 % (32212)------------------------------
% 0.23/0.43 % (32216)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.23/0.43 % (32216)Instruction limit reached!
% 0.23/0.43 % (32216)------------------------------
% 0.23/0.43 % (32216)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (32216)Termination reason: Unknown
% 0.23/0.43 % (32216)Termination phase: Saturation
% 0.23/0.43
% 0.23/0.43 % (32216)Memory used [KB]: 1023
% 0.23/0.43 % (32216)Time elapsed: 0.004 s
% 0.23/0.43 % (32216)Instructions burned: 5 (million)
% 0.23/0.43 % (32216)------------------------------
% 0.23/0.43 % (32216)------------------------------
% 0.23/0.43 % (32215)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)
% 0.23/0.43 % (32214)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)
% 0.23/0.44 % (32215)Instruction limit reached!
% 0.23/0.44 % (32215)------------------------------
% 0.23/0.44 % (32215)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (32215)Termination reason: Unknown
% 0.23/0.44 % (32215)Termination phase: Property scanning
% 0.23/0.44
% 0.23/0.44 % (32215)Memory used [KB]: 1023
% 0.23/0.44 % (32215)Time elapsed: 0.004 s
% 0.23/0.44 % (32215)Instructions burned: 4 (million)
% 0.23/0.44 % (32215)------------------------------
% 0.23/0.44 % (32215)------------------------------
% 0.23/0.44 % (32209)First to succeed.
% 0.23/0.44 % (32217)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.23/0.44 % (32213)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)
% 0.23/0.44 % (32214)Refutation not found, incomplete strategy
% 0.23/0.44 % (32214)------------------------------
% 0.23/0.44 % (32214)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (32214)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.44
% 0.23/0.44
% 0.23/0.44 % (32214)Memory used [KB]: 5500
% 0.23/0.44 % (32214)Time elapsed: 0.007 s
% 0.23/0.44 % (32214)Instructions burned: 6 (million)
% 0.23/0.44 % (32214)------------------------------
% 0.23/0.44 % (32214)------------------------------
% 0.23/0.44 % (32218)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.23/0.44 % (32213)Instruction limit reached!
% 0.23/0.44 % (32213)------------------------------
% 0.23/0.44 % (32213)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (32213)Termination reason: Unknown
% 0.23/0.44 % (32213)Termination phase: shuffling
% 0.23/0.44
% 0.23/0.44 % (32213)Memory used [KB]: 1023
% 0.23/0.44 % (32213)Time elapsed: 0.003 s
% 0.23/0.44 % (32213)Instructions burned: 3 (million)
% 0.23/0.44 % (32213)------------------------------
% 0.23/0.44 % (32213)------------------------------
% 0.23/0.44 % (32206)Instruction limit reached!
% 0.23/0.44 % (32206)------------------------------
% 0.23/0.44 % (32206)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (32206)Termination reason: Unknown
% 0.23/0.44 % (32206)Termination phase: Saturation
% 0.23/0.44
% 0.23/0.44 % (32206)Memory used [KB]: 6140
% 0.23/0.44 % (32206)Time elapsed: 0.031 s
% 0.23/0.44 % (32206)Instructions burned: 37 (million)
% 0.23/0.44 % (32206)------------------------------
% 0.23/0.44 % (32206)------------------------------
% 0.23/0.45 % (32209)Refutation found. Thanks to Tanya!
% 0.23/0.45 % SZS status Theorem for theBenchmark
% 0.23/0.45 % SZS output start Proof for theBenchmark
% 0.23/0.45 thf(type_def_6, type, individuals: $tType).
% 0.23/0.45 thf(func_def_1, type, prop_a: $i > $o).
% 0.23/0.45 thf(func_def_2, type, prop_b: $i > $o).
% 0.23/0.45 thf(func_def_3, type, prop_c: $i > $o).
% 0.23/0.45 thf(func_def_4, type, mfalse: $i > $o).
% 0.23/0.45 thf(func_def_5, type, mtrue: $i > $o).
% 0.23/0.45 thf(func_def_6, type, mnot: ($i > $o) > $i > $o).
% 0.23/0.45 thf(func_def_8, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.45 thf(func_def_9, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.45 thf(func_def_10, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.45 thf(func_def_11, type, miff: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.45 thf(func_def_12, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.23/0.45 thf(func_def_13, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.23/0.45 thf(func_def_14, type, individuals: $tType).
% 0.23/0.45 thf(func_def_15, type, mall: (individuals > $i > $o) > $i > $o).
% 0.23/0.45 thf(func_def_16, type, mexists: (individuals > $i > $o) > $i > $o).
% 0.23/0.45 thf(func_def_17, type, mvalid: ($i > $o) > $o).
% 0.23/0.45 thf(func_def_18, type, msatisfiable: ($i > $o) > $o).
% 0.23/0.45 thf(func_def_19, type, mcountersatisfiable: ($i > $o) > $o).
% 0.23/0.45 thf(func_def_20, type, minvalid: ($i > $o) > $o).
% 0.23/0.45 thf(func_def_39, type, ph1: !>[X0: $tType]:(X0)).
% 0.23/0.45 thf(func_def_40, type, sK2: $i > $i > $o).
% 0.23/0.45 thf(func_def_41, type, sK3: $i > $o).
% 0.23/0.45 thf(func_def_42, type, sK4: $i > $o).
% 0.23/0.45 thf(f211,plain,(
% 0.23/0.45 $false),
% 0.23/0.45 inference(trivial_inequality_removal,[],[f210])).
% 0.23/0.45 thf(f210,plain,(
% 0.23/0.45 ($false = $true)),
% 0.23/0.45 inference(boolean_simplification,[],[f209])).
% 0.23/0.45 thf(f209,plain,(
% 0.23/0.45 ($true = (~ $true))),
% 0.23/0.45 inference(backward_demodulation,[],[f200,f204])).
% 0.23/0.45 thf(f204,plain,(
% 0.23/0.45 ($true = (sK3 @ sK8))),
% 0.23/0.45 inference(boolean_simplification,[],[f203])).
% 0.23/0.45 thf(f203,plain,(
% 0.23/0.45 ($true = ($true => (sK3 @ sK8)))),
% 0.23/0.45 inference(superposition,[],[f108,f192])).
% 0.23/0.45 thf(f192,plain,(
% 0.23/0.45 ($true = (sK2 @ sK5 @ sK8))),
% 0.23/0.45 inference(binary_proxy_clausification,[],[f184])).
% 0.23/0.45 thf(f184,plain,(
% 0.23/0.45 ($false = ((sK2 @ sK5 @ sK8) => (sK4 @ sK8)))),
% 0.23/0.45 inference(beta_eta_normalization,[],[f180])).
% 0.23/0.45 thf(f180,plain,(
% 0.23/0.45 ($false = ((^[Y0 : $i]: ((sK2 @ sK5 @ Y0) => (sK4 @ Y0))) @ sK8))),
% 0.23/0.45 inference(sigma_clausification,[],[f165])).
% 0.23/0.45 thf(f165,plain,(
% 0.23/0.45 ($false = (!! @ $i @ (^[Y0 : $i]: ((sK2 @ sK5 @ Y0) => (sK4 @ Y0)))))),
% 0.23/0.45 inference(not_proxy_clausification,[],[f120])).
% 0.23/0.45 thf(f120,plain,(
% 0.23/0.45 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((sK2 @ sK5 @ Y0) => (sK4 @ Y0))))))),
% 0.23/0.45 inference(boolean_simplification,[],[f119])).
% 0.23/0.45 thf(f119,plain,(
% 0.23/0.45 ($true = ($false | (~ (!! @ $i @ (^[Y0 : $i]: ((sK2 @ sK5 @ Y0) => (sK4 @ Y0)))))))),
% 0.23/0.45 inference(superposition,[],[f80,f98])).
% 0.23/0.45 thf(f98,plain,(
% 0.23/0.45 ($false = (!! @ $i @ (^[Y0 : $i]: ((sK2 @ sK5 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y0 @ Y1) => (sK4 @ Y1))))))))),
% 0.23/0.45 inference(binary_proxy_clausification,[],[f96])).
% 0.23/0.45 thf(f96,plain,(
% 0.23/0.45 (((!! @ $i @ (^[Y0 : $i]: ((sK2 @ sK5 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y0 @ Y1) => (sK4 @ Y1))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((sK2 @ sK5 @ Y0) => (sK3 @ Y0)))))) = $false)),
% 0.23/0.45 inference(boolean_simplification,[],[f95])).
% 0.23/0.45 thf(f95,plain,(
% 0.23/0.45 ($false = (((!! @ $i @ (^[Y0 : $i]: ((sK2 @ sK5 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y0 @ Y1) => (sK4 @ Y1))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((sK2 @ sK5 @ Y0) => (sK3 @ Y0)))))) | $false))),
% 0.23/0.45 inference(backward_demodulation,[],[f92,f93])).
% 0.23/0.45 thf(f93,plain,(
% 0.23/0.45 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((sK2 @ sK5 @ Y0) => ((sK4 @ Y0) | (~ (sK3 @ Y0))))))))),
% 0.23/0.45 inference(binary_proxy_clausification,[],[f92])).
% 0.23/0.45 thf(f92,plain,(
% 0.23/0.45 ($false = (((!! @ $i @ (^[Y0 : $i]: ((sK2 @ sK5 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y0 @ Y1) => (sK4 @ Y1))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((sK2 @ sK5 @ Y0) => (sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((sK2 @ sK5 @ Y0) => ((sK4 @ Y0) | (~ (sK3 @ Y0)))))))))),
% 0.23/0.45 inference(beta_eta_normalization,[],[f91])).
% 0.23/0.45 thf(f91,plain,(
% 0.23/0.45 ($false = ((^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((sK2 @ Y1 @ Y2) => (sK4 @ Y2))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y0 @ Y1) => (sK3 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y0 @ Y1) => ((sK4 @ Y1) | (~ (sK3 @ Y1))))))))) @ sK5))),
% 0.23/0.45 inference(sigma_clausification,[],[f90])).
% 0.23/0.45 thf(f90,plain,(
% 0.23/0.45 ($false = (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((sK2 @ Y1 @ Y2) => (sK4 @ Y2))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y0 @ Y1) => (sK3 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y0 @ Y1) => ((sK4 @ Y1) | (~ (sK3 @ Y1)))))))))))),
% 0.23/0.45 inference(beta_eta_normalization,[],[f89])).
% 0.23/0.45 thf(f89,plain,(
% 0.23/0.45 ($false = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((sK2 @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((sK2 @ Y2 @ Y3) => (Y0 @ Y3))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((sK2 @ Y1 @ Y2) => (sK3 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((sK2 @ Y1 @ Y2) => ((Y0 @ Y2) | (~ (sK3 @ Y2))))))))))) @ sK4))),
% 0.23/0.45 inference(sigma_clausification,[],[f88])).
% 0.23/0.45 thf(f88,plain,(
% 0.23/0.45 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((sK2 @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((sK2 @ Y2 @ Y3) => (Y0 @ Y3))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((sK2 @ Y1 @ Y2) => (sK3 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((sK2 @ Y1 @ Y2) => ((Y0 @ Y2) | (~ (sK3 @ Y2)))))))))))))),
% 0.23/0.45 inference(beta_eta_normalization,[],[f87])).
% 0.23/0.45 thf(f87,plain,(
% 0.23/0.45 ($false = ((^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((sK2 @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((sK2 @ Y3 @ Y4) => (Y1 @ Y4))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((sK2 @ Y2 @ Y3) => (Y0 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((sK2 @ Y2 @ Y3) => ((Y1 @ Y3) | (~ (Y0 @ Y3))))))))))))) @ sK3))),
% 0.23/0.45 inference(sigma_clausification,[],[f86])).
% 0.23/0.45 thf(f86,plain,(
% 0.23/0.45 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((sK2 @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((sK2 @ Y3 @ Y4) => (Y1 @ Y4))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((sK2 @ Y2 @ Y3) => (Y0 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((sK2 @ Y2 @ Y3) => ((Y1 @ Y3) | (~ (Y0 @ Y3)))))))))))))))),
% 0.23/0.45 inference(beta_eta_normalization,[],[f85])).
% 0.23/0.45 thf(f85,plain,(
% 0.23/0.45 ($false = ((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((Y0 @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((Y0 @ Y4 @ Y5) => (Y2 @ Y5))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((Y0 @ Y3 @ Y4) => (Y1 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((Y0 @ Y3 @ Y4) => ((Y2 @ Y4) | (~ (Y1 @ Y4))))))))))))))) @ sK2))),
% 0.23/0.45 inference(sigma_clausification,[],[f82])).
% 0.23/0.45 thf(f82,plain,(
% 0.23/0.45 ($false = (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((Y0 @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((Y0 @ Y4 @ Y5) => (Y2 @ Y5))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((Y0 @ Y3 @ Y4) => (Y1 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((Y0 @ Y3 @ Y4) => ((Y2 @ Y4) | (~ (Y1 @ Y4)))))))))))))))))),
% 0.23/0.45 inference(not_proxy_clausification,[],[f74])).
% 0.23/0.45 thf(f74,plain,(
% 0.23/0.45 ($true = (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((Y0 @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((Y0 @ Y4 @ Y5) => (Y2 @ Y5))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((Y0 @ Y3 @ Y4) => (Y1 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((Y0 @ Y3 @ Y4) => ((Y2 @ Y4) | (~ (Y1 @ Y4))))))))))))))))))),
% 0.23/0.45 inference(beta_eta_normalization,[],[f72])).
% 0.23/0.45 thf(f72,plain,(
% 0.23/0.45 ($true = (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $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 > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ Y0 @ ((^[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)))) @ Y1 @ Y2)) @ ((^[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 > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ Y0 @ Y1) @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ Y0 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ Y0 @ Y2)))))))))))))),
% 0.23/0.45 inference(definition_unfolding,[],[f58,f57,f69,f63,f69,f69,f63,f63,f63])).
% 0.23/0.45 thf(f63,plain,(
% 0.23/0.45 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.23/0.45 inference(cnf_transformation,[],[f34])).
% 0.23/0.45 thf(f34,plain,(
% 0.23/0.45 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.23/0.45 inference(fool_elimination,[],[f33])).
% 0.23/0.45 thf(f33,plain,(
% 0.23/0.45 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X0 @ X2 @ X3) => (X1 @ X3)))))),
% 0.23/0.45 inference(rectify,[],[f8])).
% 0.23/0.45 thf(f8,axiom,(
% 0.23/0.45 (mbox = (^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (! [X2] : ((X4 @ X0 @ X2) => (X5 @ X2)))))),
% 0.23/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)).
% 0.23/0.45 thf(f69,plain,(
% 0.23/0.45 (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)))))),
% 0.23/0.45 inference(definition_unfolding,[],[f53,f68,f54])).
% 0.23/0.45 thf(f54,plain,(
% 0.23/0.45 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.23/0.45 inference(cnf_transformation,[],[f51])).
% 0.23/0.45 thf(f51,plain,(
% 0.23/0.45 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.23/0.45 inference(fool_elimination,[],[f50])).
% 0.23/0.45 thf(f50,plain,(
% 0.23/0.45 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.23/0.45 inference(rectify,[],[f3])).
% 0.23/0.45 thf(f3,axiom,(
% 0.23/0.45 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.23/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)).
% 0.23/0.45 thf(f68,plain,(
% 0.23/0.45 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.23/0.45 inference(cnf_transformation,[],[f39])).
% 0.23/0.45 thf(f39,plain,(
% 0.23/0.45 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.23/0.45 inference(fool_elimination,[],[f38])).
% 0.23/0.45 thf(f38,plain,(
% 0.23/0.45 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))) = mor)),
% 0.23/0.45 inference(rectify,[],[f4])).
% 0.23/0.45 thf(f4,axiom,(
% 0.23/0.45 ((^[X0 : $i > $o, X2 : $i > $o, X1 : $i] : ((X0 @ X1) | (X2 @ X1))) = mor)),
% 0.23/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)).
% 0.23/0.45 thf(f53,plain,(
% 0.23/0.45 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.23/0.45 inference(cnf_transformation,[],[f49])).
% 0.23/0.45 thf(f49,plain,(
% 0.23/0.45 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.23/0.45 inference(fool_elimination,[],[f48])).
% 0.23/0.45 thf(f48,plain,(
% 0.23/0.45 (mimpl = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 0.23/0.45 inference(rectify,[],[f6])).
% 0.23/0.45 thf(f6,axiom,(
% 0.23/0.45 (mimpl = (^[X1 : $i > $o, X3 : $i > $o] : (mor @ (mnot @ X1) @ X3)))),
% 0.23/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimpl)).
% 0.23/0.45 thf(f57,plain,(
% 0.23/0.45 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.23/0.45 inference(cnf_transformation,[],[f43])).
% 0.23/0.45 thf(f43,plain,(
% 0.23/0.45 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.23/0.45 inference(fool_elimination,[],[f42])).
% 0.23/0.45 thf(f42,plain,(
% 0.23/0.45 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.23/0.45 inference(rectify,[],[f12])).
% 0.23/0.45 thf(f12,axiom,(
% 0.23/0.45 (mvalid = (^[X5 : $i > $o] : (! [X6] : (X5 @ X6))))),
% 0.23/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)).
% 0.23/0.45 thf(f58,plain,(
% 0.23/0.45 ($true = (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (mvalid @ (mimpl @ (mbox @ Y0 @ (mimpl @ Y1 @ Y2)) @ (mimpl @ (mbox @ Y0 @ Y1) @ (mbox @ Y0 @ (mbox @ Y0 @ Y2)))))))))))))),
% 0.23/0.45 inference(cnf_transformation,[],[f25])).
% 0.23/0.45 thf(f25,plain,(
% 0.23/0.45 ($true = (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (mvalid @ (mimpl @ (mbox @ Y0 @ (mimpl @ Y1 @ Y2)) @ (mimpl @ (mbox @ Y0 @ Y1) @ (mbox @ Y0 @ (mbox @ Y0 @ Y2)))))))))))))),
% 0.23/0.45 inference(fool_elimination,[],[f24])).
% 0.23/0.45 thf(f24,plain,(
% 0.23/0.45 ~! [X0 : $i > $o,X1 : $i > $o,X2 : $i > $i > $o] : (mvalid @ (mimpl @ (mbox @ X2 @ (mimpl @ X1 @ X0)) @ (mimpl @ (mbox @ X2 @ X1) @ (mbox @ X2 @ (mbox @ X2 @ X0)))))),
% 0.23/0.45 inference(rectify,[],[f18])).
% 0.23/0.45 thf(f18,negated_conjecture,(
% 0.23/0.45 ~! [X2 : $i > $o,X0 : $i > $o,X4 : $i > $i > $o] : (mvalid @ (mimpl @ (mbox @ X4 @ (mimpl @ X0 @ X2)) @ (mimpl @ (mbox @ X4 @ X0) @ (mbox @ X4 @ (mbox @ X4 @ X2)))))),
% 0.23/0.45 inference(negated_conjecture,[],[f17])).
% 0.23/0.45 thf(f17,conjecture,(
% 0.23/0.45 ! [X2 : $i > $o,X0 : $i > $o,X4 : $i > $i > $o] : (mvalid @ (mimpl @ (mbox @ X4 @ (mimpl @ X0 @ X2)) @ (mimpl @ (mbox @ X4 @ X0) @ (mbox @ X4 @ (mbox @ X4 @ X2)))))),
% 0.23/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm)).
% 0.23/0.45 thf(f80,plain,(
% 0.23/0.45 ( ! [X2 : $i > $i > $o,X3 : $i,X1 : $i > $o] : ((((!! @ $i @ (^[Y0 : $i]: ((X2 @ X3 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((X2 @ Y0 @ Y1) => (X1 @ Y1))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((X2 @ X3 @ Y0) => (X1 @ Y0)))))) = $true)) )),
% 0.23/0.45 inference(beta_eta_normalization,[],[f79])).
% 0.23/0.45 thf(f79,plain,(
% 0.23/0.45 ( ! [X2 : $i > $i > $o,X3 : $i,X1 : $i > $o] : (($true = ((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((X2 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((X2 @ Y1 @ Y2) => (X1 @ Y2))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((X2 @ Y0 @ Y1) => (X1 @ Y1))))))) @ X3))) )),
% 0.23/0.45 inference(pi_clausification,[],[f78])).
% 0.23/0.45 thf(f78,plain,(
% 0.23/0.45 ( ! [X2 : $i > $i > $o,X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((X2 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((X2 @ Y1 @ Y2) => (X1 @ Y2))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((X2 @ Y0 @ Y1) => (X1 @ Y1)))))))) = $true)) )),
% 0.23/0.45 inference(beta_eta_normalization,[],[f77])).
% 0.23/0.45 thf(f77,plain,(
% 0.23/0.45 ( ! [X2 : $i > $i > $o,X1 : $i > $o] : (($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (X1 @ Y3))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (X1 @ Y2))))))))) @ X2))) )),
% 0.23/0.45 inference(pi_clausification,[],[f76])).
% 0.23/0.45 thf(f76,plain,(
% 0.23/0.45 ( ! [X1 : $i > $o] : (((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (X1 @ Y3))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (X1 @ Y2)))))))))) = $true)) )),
% 0.23/0.45 inference(beta_eta_normalization,[],[f75])).
% 0.23/0.45 thf(f75,plain,(
% 0.23/0.45 ( ! [X1 : $i > $o] : (($true = ((^[Y0 : $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y0 @ Y4))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y2 @ Y3) => (Y0 @ Y3))))))))))) @ X1))) )),
% 0.23/0.45 inference(pi_clausification,[],[f73])).
% 0.23/0.45 thf(f73,plain,(
% 0.23/0.45 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y0 @ Y4))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y2 @ Y3) => (Y0 @ Y3)))))))))))))),
% 0.23/0.45 inference(beta_eta_normalization,[],[f71])).
% 0.23/0.45 thf(f71,plain,(
% 0.23/0.45 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $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))))))))) @ Y1 @ Y0) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ Y1 @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ Y1 @ Y0)))))))))),
% 0.23/0.45 inference(definition_unfolding,[],[f52,f57,f69,f63,f63,f63])).
% 0.23/0.45 thf(f52,plain,(
% 0.23/0.45 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (mvalid @ (mimpl @ (mbox @ Y1 @ Y0) @ (mbox @ Y1 @ (mbox @ Y1 @ Y0)))))))))),
% 0.23/0.45 inference(cnf_transformation,[],[f45])).
% 0.23/0.45 thf(f45,plain,(
% 0.23/0.45 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (mvalid @ (mimpl @ (mbox @ Y1 @ Y0) @ (mbox @ Y1 @ (mbox @ Y1 @ Y0)))))))))),
% 0.23/0.45 inference(fool_elimination,[],[f44])).
% 0.23/0.45 thf(f44,plain,(
% 0.23/0.45 ! [X0 : $i > $i > $o,X1 : $i > $o] : (mvalid @ (mimpl @ (mbox @ X0 @ X1) @ (mbox @ X0 @ (mbox @ X0 @ X1))))),
% 0.23/0.45 inference(rectify,[],[f16])).
% 0.23/0.45 thf(f16,axiom,(
% 0.23/0.45 ! [X4 : $i > $i > $o,X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ X4 @ X0) @ (mbox @ X4 @ (mbox @ X4 @ X0))))),
% 0.23/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k4)).
% 0.23/0.45 thf(f108,plain,(
% 0.23/0.45 ( ! [X1 : $i] : (($true = ((sK2 @ sK5 @ X1) => (sK3 @ X1)))) )),
% 0.23/0.45 inference(beta_eta_normalization,[],[f106])).
% 0.23/0.45 thf(f106,plain,(
% 0.23/0.45 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((sK2 @ sK5 @ Y0) => (sK3 @ Y0))) @ X1))) )),
% 0.23/0.45 inference(pi_clausification,[],[f101])).
% 0.23/0.45 thf(f101,plain,(
% 0.23/0.45 ($true = (!! @ $i @ (^[Y0 : $i]: ((sK2 @ sK5 @ Y0) => (sK3 @ Y0)))))),
% 0.23/0.45 inference(not_proxy_clausification,[],[f100])).
% 0.23/0.45 thf(f100,plain,(
% 0.23/0.45 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((sK2 @ sK5 @ Y0) => (sK3 @ Y0))))))),
% 0.23/0.45 inference(boolean_simplification,[],[f99])).
% 0.23/0.45 thf(f99,plain,(
% 0.23/0.45 ($false = ($false | (~ (!! @ $i @ (^[Y0 : $i]: ((sK2 @ sK5 @ Y0) => (sK3 @ Y0)))))))),
% 0.23/0.45 inference(backward_demodulation,[],[f96,f98])).
% 0.23/0.45 thf(f200,plain,(
% 0.23/0.45 ($true = (~ (sK3 @ sK8)))),
% 0.23/0.45 inference(boolean_simplification,[],[f199])).
% 0.23/0.45 thf(f199,plain,(
% 0.23/0.45 ($true = ($true => (~ (sK3 @ sK8))))),
% 0.23/0.45 inference(forward_demodulation,[],[f198,f192])).
% 0.23/0.45 thf(f198,plain,(
% 0.23/0.45 ($true = ((sK2 @ sK5 @ sK8) => (~ (sK3 @ sK8))))),
% 0.23/0.45 inference(boolean_simplification,[],[f197])).
% 0.23/0.45 thf(f197,plain,(
% 0.23/0.45 (((sK2 @ sK5 @ sK8) => ($false | (~ (sK3 @ sK8)))) = $true)),
% 0.23/0.45 inference(superposition,[],[f116,f191])).
% 0.23/0.45 thf(f191,plain,(
% 0.23/0.45 ($false = (sK4 @ sK8))),
% 0.23/0.45 inference(binary_proxy_clausification,[],[f184])).
% 0.23/0.45 thf(f116,plain,(
% 0.23/0.45 ( ! [X1 : $i] : (($true = ((sK2 @ sK5 @ X1) => ((sK4 @ X1) | (~ (sK3 @ X1)))))) )),
% 0.23/0.45 inference(beta_eta_normalization,[],[f115])).
% 0.23/0.45 thf(f115,plain,(
% 0.23/0.45 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((sK2 @ sK5 @ Y0) => ((sK4 @ Y0) | (~ (sK3 @ Y0))))) @ X1))) )),
% 0.23/0.45 inference(pi_clausification,[],[f112])).
% 0.23/0.45 thf(f112,plain,(
% 0.23/0.45 ($true = (!! @ $i @ (^[Y0 : $i]: ((sK2 @ sK5 @ Y0) => ((sK4 @ Y0) | (~ (sK3 @ Y0)))))))),
% 0.23/0.45 inference(not_proxy_clausification,[],[f93])).
% 0.23/0.45 % SZS output end Proof for theBenchmark
% 0.23/0.45 % (32209)------------------------------
% 0.23/0.45 % (32209)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (32209)Termination reason: Refutation
% 0.23/0.45
% 0.23/0.45 % (32209)Memory used [KB]: 5756
% 0.23/0.45 % (32209)Time elapsed: 0.034 s
% 0.23/0.45 % (32209)Instructions burned: 32 (million)
% 0.23/0.45 % (32209)------------------------------
% 0.23/0.45 % (32209)------------------------------
% 0.23/0.45 % (32197)Success in time 0.07 s
% 0.23/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------