TSTP Solution File: SWV445^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV445^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n014.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 06:01:20 EDT 2024
% Result : Theorem 2.66s 0.72s
% Output : Refutation 2.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SWV445^1 : TPTP v8.2.0. Released v3.7.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.32 % Computer : n014.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun May 19 06:53:07 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a TH0_THM_EQU_NAR problem
% 0.11/0.33 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.34 % (20996)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)
% 0.11/0.34 % (20997)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)
% 0.11/0.34 % (20999)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)
% 0.11/0.34 % (20998)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.11/0.34 % (20996)Instruction limit reached!
% 0.11/0.34 % (20996)------------------------------
% 0.11/0.34 % (20996)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (20996)Termination reason: Unknown
% 0.11/0.34 % (20996)Termination phase: shuffling
% 0.11/0.34
% 0.11/0.34 % (20996)Memory used [KB]: 1023
% 0.11/0.34 % (20996)Time elapsed: 0.002 s
% 0.11/0.34 % (20996)Instructions burned: 2 (million)
% 0.11/0.34 % (20996)------------------------------
% 0.11/0.34 % (20996)------------------------------
% 0.11/0.34 % (20993)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)
% 0.11/0.34 % (20994)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)
% 0.11/0.34 % (20995)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.35 % (20992)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.11/0.35 % (20995)Instruction limit reached!
% 0.11/0.35 % (20995)------------------------------
% 0.11/0.35 % (20995)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (20995)Termination reason: Unknown
% 0.11/0.35 % (20995)Termination phase: shuffling
% 0.11/0.35
% 0.11/0.35 % (20995)Memory used [KB]: 1023
% 0.11/0.35 % (20995)Time elapsed: 0.002 s
% 0.11/0.35 % (20995)Instructions burned: 2 (million)
% 0.11/0.35 % (20995)------------------------------
% 0.11/0.35 % (20995)------------------------------
% 0.11/0.35 % (20999)Instruction limit reached!
% 0.11/0.35 % (20999)------------------------------
% 0.11/0.35 % (20999)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (20999)Termination reason: Unknown
% 0.11/0.35 % (20999)Termination phase: Property scanning
% 0.11/0.35
% 0.11/0.35 % (20999)Memory used [KB]: 1023
% 0.11/0.35 % (20999)Time elapsed: 0.004 s
% 0.11/0.35 % (20999)Instructions burned: 5 (million)
% 0.11/0.35 % (20999)------------------------------
% 0.11/0.35 % (20999)------------------------------
% 0.11/0.35 % (20993)Instruction limit reached!
% 0.11/0.35 % (20993)------------------------------
% 0.11/0.35 % (20993)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (20993)Termination reason: Unknown
% 0.11/0.35 % (20993)Termination phase: Property scanning
% 0.11/0.35
% 0.11/0.35 % (20993)Memory used [KB]: 1023
% 0.11/0.35 % (20993)Time elapsed: 0.004 s
% 0.11/0.35 % (20993)Instructions burned: 5 (million)
% 0.11/0.35 % (20993)------------------------------
% 0.11/0.35 % (20993)------------------------------
% 0.11/0.35 % (20997)Refutation not found, incomplete strategy
% 0.11/0.35 % (20997)------------------------------
% 0.11/0.35 % (20997)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (20997)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.35
% 0.11/0.35
% 0.11/0.35 % (20997)Memory used [KB]: 5500
% 0.11/0.35 % (20997)Time elapsed: 0.006 s
% 0.11/0.35 % (20997)Instructions burned: 6 (million)
% 0.11/0.35 % (20997)------------------------------
% 0.11/0.35 % (20997)------------------------------
% 0.11/0.35 % (20998)Instruction limit reached!
% 0.11/0.35 % (20998)------------------------------
% 0.11/0.35 % (20998)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (20998)Termination reason: Unknown
% 0.11/0.35 % (20998)Termination phase: Saturation
% 0.11/0.35
% 0.11/0.35 % (20998)Memory used [KB]: 5628
% 0.11/0.35 % (20998)Time elapsed: 0.011 s
% 0.11/0.35 % (20998)Instructions burned: 20 (million)
% 0.11/0.35 % (20998)------------------------------
% 0.11/0.35 % (20998)------------------------------
% 0.11/0.36 % (21000)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)
% 0.11/0.36 % (21002)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)
% 0.11/0.36 % (20994)Instruction limit reached!
% 0.11/0.36 % (20994)------------------------------
% 0.11/0.36 % (20994)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (20994)Termination reason: Unknown
% 0.11/0.36 % (20994)Termination phase: Saturation
% 0.11/0.36
% 0.11/0.36 % (20994)Memory used [KB]: 5628
% 0.11/0.36 % (20994)Time elapsed: 0.016 s
% 0.11/0.36 % (20994)Instructions burned: 28 (million)
% 0.11/0.36 % (20994)------------------------------
% 0.11/0.36 % (20994)------------------------------
% 0.11/0.36 % (21001)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)
% 0.11/0.36 % (21002)Instruction limit reached!
% 0.11/0.36 % (21002)------------------------------
% 0.11/0.36 % (21002)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (21002)Termination reason: Unknown
% 0.11/0.36 % (21002)Termination phase: shuffling
% 0.11/0.36
% 0.11/0.36 % (21002)Memory used [KB]: 1023
% 0.11/0.36 % (21002)Time elapsed: 0.003 s
% 0.11/0.36 % (21002)Instructions burned: 3 (million)
% 0.11/0.36 % (21002)------------------------------
% 0.11/0.36 % (21002)------------------------------
% 0.11/0.36 % (21003)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)
% 0.11/0.36 % (21004)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.11/0.36 % (21004)Instruction limit reached!
% 0.11/0.36 % (21004)------------------------------
% 0.11/0.36 % (21004)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (21004)Termination reason: Unknown
% 0.11/0.36 % (21004)Termination phase: Function definition elimination
% 0.11/0.36
% 0.11/0.36 % (21004)Memory used [KB]: 1023
% 0.11/0.36 % (21004)Time elapsed: 0.005 s
% 0.11/0.36 % (21004)Instructions burned: 7 (million)
% 0.11/0.36 % (21004)------------------------------
% 0.11/0.36 % (21004)------------------------------
% 0.17/0.37 % (21005)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.17/0.37 % (21001)Instruction limit reached!
% 0.17/0.37 % (21001)------------------------------
% 0.17/0.37 % (21001)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.37 % (21001)Termination reason: Unknown
% 0.17/0.37 % (21001)Termination phase: Saturation
% 0.17/0.37
% 0.17/0.37 % (21001)Memory used [KB]: 5628
% 0.17/0.37 % (21001)Time elapsed: 0.011 s
% 0.17/0.37 % (21001)Instructions burned: 16 (million)
% 0.17/0.37 % (21001)------------------------------
% 0.17/0.37 % (21001)------------------------------
% 0.17/0.37 % (21007)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)
% 0.17/0.37 % (21006)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)
% 0.17/0.37 % (21007)Instruction limit reached!
% 0.17/0.37 % (21007)------------------------------
% 0.17/0.37 % (21007)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.37 % (21007)Termination reason: Unknown
% 0.17/0.37 % (21007)Termination phase: shuffling
% 0.17/0.37
% 0.17/0.37 % (21007)Memory used [KB]: 1023
% 0.17/0.37 % (21007)Time elapsed: 0.003 s
% 0.17/0.37 % (21007)Instructions burned: 3 (million)
% 0.17/0.37 % (21007)------------------------------
% 0.17/0.37 % (21007)------------------------------
% 0.17/0.38 % (21006)Instruction limit reached!
% 0.17/0.38 % (21006)------------------------------
% 0.17/0.38 % (21006)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.38 % (21006)Termination reason: Unknown
% 0.17/0.38 % (21006)Termination phase: shuffling
% 0.17/0.38
% 0.17/0.38 % (21006)Memory used [KB]: 1023
% 0.17/0.38 % (21006)Time elapsed: 0.003 s
% 0.17/0.38 % (21006)Instructions burned: 3 (million)
% 0.17/0.38 % (21006)------------------------------
% 0.17/0.38 % (21006)------------------------------
% 0.17/0.38 % (21000)Instruction limit reached!
% 0.17/0.38 % (21000)------------------------------
% 0.17/0.38 % (21000)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.38 % (21000)Termination reason: Unknown
% 0.17/0.38 % (21000)Termination phase: Saturation
% 0.17/0.38
% 0.17/0.38 % (21000)Memory used [KB]: 5884
% 0.17/0.38 % (21000)Time elapsed: 0.019 s
% 0.17/0.38 % (21005)Instruction limit reached!
% 0.17/0.38 % (21005)------------------------------
% 0.17/0.38 % (21005)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.38 % (21005)Termination reason: Unknown
% 0.17/0.38 % (21005)Termination phase: Saturation
% 0.17/0.38
% 0.17/0.38 % (21005)Memory used [KB]: 5628
% 0.17/0.38 % (21005)Time elapsed: 0.010 s
% 0.17/0.38 % (21005)Instructions burned: 16 (million)
% 0.17/0.38 % (21005)------------------------------
% 0.17/0.38 % (21005)------------------------------
% 0.17/0.38 % (21000)Instructions burned: 37 (million)
% 0.17/0.38 % (21000)------------------------------
% 0.17/0.38 % (21000)------------------------------
% 0.17/0.38 % (21008)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)
% 0.17/0.38 % (21008)Instruction limit reached!
% 0.17/0.38 % (21008)------------------------------
% 0.17/0.38 % (21008)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.38 % (21008)Termination reason: Unknown
% 0.17/0.38 % (21008)Termination phase: Property scanning
% 0.17/0.38
% 0.17/0.38 % (21008)Memory used [KB]: 1023
% 0.17/0.38 % (21008)Time elapsed: 0.005 s
% 0.17/0.38 % (21008)Instructions burned: 9 (million)
% 0.17/0.38 % (21008)------------------------------
% 0.17/0.38 % (21008)------------------------------
% 0.17/0.38 % (21009)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)
% 0.17/0.39 % (21009)Instruction limit reached!
% 0.17/0.39 % (21009)------------------------------
% 0.17/0.39 % (21009)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.39 % (21009)Termination reason: Unknown
% 0.17/0.39 % (21009)Termination phase: Property scanning
% 0.17/0.39
% 0.17/0.39 % (21009)Memory used [KB]: 1023
% 0.17/0.39 % (21009)Time elapsed: 0.003 s
% 0.17/0.39 % (21009)Instructions burned: 3 (million)
% 0.17/0.39 % (21009)------------------------------
% 0.17/0.39 % (21009)------------------------------
% 0.17/0.39 % (21010)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.17/0.39 % (21010)Instruction limit reached!
% 0.17/0.39 % (21010)------------------------------
% 0.17/0.39 % (21010)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.39 % (21010)Termination reason: Unknown
% 0.17/0.39 % (21010)Termination phase: Property scanning
% 0.17/0.39
% 0.17/0.39 % (21010)Memory used [KB]: 1023
% 0.17/0.39 % (21010)Time elapsed: 0.003 s
% 0.17/0.39 % (21010)Instructions burned: 4 (million)
% 0.17/0.39 % (21010)------------------------------
% 0.17/0.39 % (21010)------------------------------
% 0.17/0.39 % (21012)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.17/0.39 % (21013)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.17/0.39 % (21011)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)
% 0.17/0.39 % (21012)Refutation not found, incomplete strategy
% 0.17/0.39 % (21012)------------------------------
% 0.17/0.39 % (21012)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.39 % (21012)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.39
% 0.17/0.39
% 0.17/0.39 % (21012)Memory used [KB]: 5500
% 0.17/0.39 % (21012)Time elapsed: 0.028 s
% 0.17/0.39 % (21012)Instructions burned: 7 (million)
% 0.17/0.39 % (21012)------------------------------
% 0.17/0.39 % (21012)------------------------------
% 0.17/0.39 % (21013)Instruction limit reached!
% 0.17/0.39 % (21013)------------------------------
% 0.17/0.39 % (21013)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.39 % (21013)Termination reason: Unknown
% 0.17/0.39 % (21013)Termination phase: Function definition elimination
% 0.17/0.39
% 0.17/0.39 % (21013)Memory used [KB]: 1023
% 0.17/0.39 % (21013)Time elapsed: 0.005 s
% 0.17/0.39 % (21013)Instructions burned: 7 (million)
% 0.17/0.39 % (21013)------------------------------
% 0.17/0.39 % (21013)------------------------------
% 0.17/0.40 % (21014)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.17/0.40 % (21014)Refutation not found, incomplete strategy
% 0.17/0.40 % (21014)------------------------------
% 0.17/0.40 % (21014)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (21014)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.40
% 0.17/0.40
% 0.17/0.40 % (21014)Memory used [KB]: 5628
% 0.17/0.40 % (21014)Time elapsed: 0.006 s
% 0.17/0.40 % (21014)Instructions burned: 8 (million)
% 0.17/0.40 % (21014)------------------------------
% 0.17/0.40 % (21014)------------------------------
% 0.17/0.40 % (21015)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.17/0.40 % (21016)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.17/0.40 % (21011)Instruction limit reached!
% 0.17/0.40 % (21011)------------------------------
% 0.17/0.40 % (21011)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (21011)Termination reason: Unknown
% 0.17/0.40 % (21011)Termination phase: Saturation
% 0.17/0.40
% 0.17/0.40 % (21011)Memory used [KB]: 5628
% 0.17/0.40 % (21011)Time elapsed: 0.013 s
% 0.17/0.40 % (21011)Instructions burned: 18 (million)
% 0.17/0.40 % (21011)------------------------------
% 0.17/0.40 % (21011)------------------------------
% 0.17/0.41 % (21016)Instruction limit reached!
% 0.17/0.41 % (21016)------------------------------
% 0.17/0.41 % (21016)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (21016)Termination reason: Unknown
% 0.17/0.41 % (21016)Termination phase: Property scanning
% 0.17/0.41
% 0.17/0.41 % (21016)Memory used [KB]: 1023
% 0.17/0.41 % (21016)Time elapsed: 0.004 s
% 0.17/0.41 % (21016)Instructions burned: 5 (million)
% 0.17/0.41 % (21016)------------------------------
% 0.17/0.41 % (21016)------------------------------
% 0.17/0.41 % (21017)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.17/0.41 % (21018)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.17/0.41 % (21017)Instruction limit reached!
% 0.17/0.41 % (21017)------------------------------
% 0.17/0.41 % (21017)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (21017)Termination reason: Unknown
% 0.17/0.41 % (21017)Termination phase: Property scanning
% 0.17/0.41
% 0.17/0.41 % (21017)Memory used [KB]: 1023
% 0.17/0.41 % (21017)Time elapsed: 0.004 s
% 0.17/0.41 % (21017)Instructions burned: 6 (million)
% 0.17/0.41 % (21017)------------------------------
% 0.17/0.41 % (21017)------------------------------
% 0.17/0.41 % (21015)Instruction limit reached!
% 0.17/0.41 % (21015)------------------------------
% 0.17/0.41 % (21015)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (21015)Termination reason: Unknown
% 0.17/0.41 % (21015)Termination phase: Saturation
% 0.17/0.41
% 0.17/0.41 % (21015)Memory used [KB]: 5628
% 0.17/0.41 % (21015)Time elapsed: 0.013 s
% 0.17/0.41 % (21015)Instructions burned: 21 (million)
% 0.17/0.41 % (21015)------------------------------
% 0.17/0.41 % (21015)------------------------------
% 0.17/0.41 % (21019)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.17/0.42 % (21020)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.17/0.42 % (21021)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.17/0.42 % (21020)Refutation not found, incomplete strategy
% 0.17/0.42 % (21020)------------------------------
% 0.17/0.42 % (21020)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.42 % (21020)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.42
% 0.17/0.42
% 0.17/0.42 % (21020)Memory used [KB]: 5628
% 0.17/0.42 % (21020)Time elapsed: 0.008 s
% 0.17/0.42 % (21020)Instructions burned: 10 (million)
% 0.17/0.42 % (21020)------------------------------
% 0.17/0.42 % (21020)------------------------------
% 0.17/0.42 % (21022)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.17/0.43 % (21023)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.17/0.43 % (21023)Instruction limit reached!
% 0.17/0.43 % (21023)------------------------------
% 0.17/0.43 % (21023)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.43 % (21023)Termination reason: Unknown
% 0.17/0.43 % (21023)Termination phase: shuffling
% 0.17/0.43
% 0.17/0.43 % (21023)Memory used [KB]: 1023
% 0.17/0.43 % (21023)Time elapsed: 0.003 s
% 0.17/0.43 % (21023)Instructions burned: 3 (million)
% 0.17/0.43 % (21023)------------------------------
% 0.17/0.43 % (21023)------------------------------
% 0.17/0.43 % (21022)Instruction limit reached!
% 0.17/0.43 % (21022)------------------------------
% 0.17/0.43 % (21022)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.43 % (21022)Termination reason: Unknown
% 0.17/0.43 % (21022)Termination phase: Saturation
% 0.17/0.43
% 0.17/0.43 % (21022)Memory used [KB]: 5628
% 0.17/0.43 % (21022)Time elapsed: 0.010 s
% 0.17/0.43 % (21022)Instructions burned: 18 (million)
% 0.17/0.43 % (21022)------------------------------
% 0.17/0.43 % (21022)------------------------------
% 0.17/0.44 % (21024)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.17/0.44 % (21025)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2999ds/127Mi)
% 0.17/0.45 % (21026)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.17/0.45 % (20992)Instruction limit reached!
% 0.17/0.45 % (20992)------------------------------
% 0.17/0.45 % (20992)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.45 % (20992)Termination reason: Unknown
% 0.17/0.45 % (20992)Termination phase: Saturation
% 0.17/0.45
% 0.17/0.45 % (20992)Memory used [KB]: 6652
% 0.17/0.45 % (20992)Time elapsed: 0.105 s
% 0.17/0.45 % (20992)Instructions burned: 184 (million)
% 0.17/0.45 % (20992)------------------------------
% 0.17/0.45 % (20992)------------------------------
% 0.17/0.45 % (21024)Instruction limit reached!
% 0.17/0.45 % (21024)------------------------------
% 0.17/0.45 % (21024)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.45 % (21024)Termination reason: Unknown
% 0.17/0.45 % (21024)Termination phase: Saturation
% 0.17/0.45
% 0.17/0.45 % (21024)Memory used [KB]: 5628
% 0.17/0.45 % (21024)Time elapsed: 0.018 s
% 0.17/0.45 % (21024)Instructions burned: 31 (million)
% 0.17/0.45 % (21024)------------------------------
% 0.17/0.45 % (21024)------------------------------
% 0.17/0.46 % (21027)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.17/0.47 % (21027)Instruction limit reached!
% 0.17/0.47 % (21027)------------------------------
% 0.17/0.47 % (21027)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.47 % (21027)Termination reason: Unknown
% 0.17/0.47 % (21027)Termination phase: Property scanning
% 0.17/0.47
% 0.17/0.47 % (21027)Memory used [KB]: 1023
% 0.17/0.47 % (21027)Time elapsed: 0.003 s
% 0.17/0.47 % (21027)Instructions burned: 3 (million)
% 0.17/0.47 % (21027)------------------------------
% 0.17/0.47 % (21027)------------------------------
% 0.17/0.47 % (21028)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 0.17/0.48 % (21028)Refutation not found, incomplete strategy
% 0.17/0.48 % (21028)------------------------------
% 0.17/0.48 % (21028)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.48 % (21028)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.48
% 0.17/0.48
% 0.17/0.48 % (21028)Memory used [KB]: 5628
% 0.17/0.48 % (21028)Time elapsed: 0.008 s
% 0.17/0.48 % (21028)Instructions burned: 11 (million)
% 0.17/0.48 % (21028)------------------------------
% 0.17/0.48 % (21028)------------------------------
% 0.17/0.48 % (21030)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 0.17/0.49 % (21031)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 0.17/0.49 % (21026)Instruction limit reached!
% 0.17/0.49 % (21026)------------------------------
% 0.17/0.49 % (21026)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.49 % (21026)Termination reason: Unknown
% 0.17/0.49 % (21026)Termination phase: Saturation
% 0.17/0.49
% 0.17/0.49 % (21026)Memory used [KB]: 5884
% 0.17/0.49 % (21026)Time elapsed: 0.050 s
% 0.17/0.49 % (21026)Instructions burned: 102 (million)
% 0.17/0.49 % (21026)------------------------------
% 0.17/0.49 % (21026)------------------------------
% 0.17/0.51 % (21031)Refutation not found, incomplete strategy
% 0.17/0.51 % (21031)------------------------------
% 0.17/0.51 % (21031)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.51 % (21031)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.51
% 0.17/0.51
% 0.17/0.51 % (21031)Memory used [KB]: 5628
% 0.17/0.51 % (21031)Time elapsed: 0.014 s
% 0.17/0.51 % (21031)Instructions burned: 24 (million)
% 0.17/0.51 % (21031)------------------------------
% 0.17/0.51 % (21031)------------------------------
% 0.17/0.51 % (21032)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 0.17/0.52 % (21025)Instruction limit reached!
% 0.17/0.52 % (21025)------------------------------
% 0.17/0.52 % (21025)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.52 % (21025)Termination reason: Unknown
% 0.17/0.52 % (21025)Termination phase: Saturation
% 0.17/0.52
% 0.17/0.52 % (21025)Memory used [KB]: 6012
% 0.17/0.52 % (21025)Time elapsed: 0.076 s
% 0.17/0.52 % (21025)Instructions burned: 127 (million)
% 0.17/0.52 % (21025)------------------------------
% 0.17/0.52 % (21025)------------------------------
% 0.17/0.52 % (21033)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2998ds/448Mi)
% 0.17/0.53 % (21030)Instruction limit reached!
% 0.17/0.53 % (21030)------------------------------
% 0.17/0.53 % (21030)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.53 % (21030)Termination reason: Unknown
% 0.17/0.53 % (21030)Termination phase: Saturation
% 0.17/0.53
% 0.17/0.53 % (21030)Memory used [KB]: 6140
% 0.17/0.53 % (21030)Time elapsed: 0.050 s
% 0.17/0.53 % (21030)Instructions burned: 87 (million)
% 0.17/0.53 % (21030)------------------------------
% 0.17/0.53 % (21030)------------------------------
% 0.17/0.53 % (21033)Refutation not found, incomplete strategy
% 0.17/0.53 % (21033)------------------------------
% 0.17/0.53 % (21033)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.53 % (21033)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.53
% 0.17/0.53
% 0.17/0.53 % (21033)Memory used [KB]: 5628
% 0.17/0.53 % (21033)Time elapsed: 0.011 s
% 0.17/0.53 % (21033)Instructions burned: 17 (million)
% 0.17/0.53 % (21033)------------------------------
% 0.17/0.53 % (21033)------------------------------
% 0.17/0.53 % (21034)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 0.17/0.54 % (21032)Instruction limit reached!
% 0.17/0.54 % (21032)------------------------------
% 0.17/0.54 % (21032)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.54 % (21032)Termination reason: Unknown
% 0.17/0.54 % (21032)Termination phase: Saturation
% 0.17/0.54
% 0.17/0.54 % (21032)Memory used [KB]: 5884
% 0.17/0.54 % (21032)Time elapsed: 0.021 s
% 0.17/0.54 % (21032)Instructions burned: 40 (million)
% 0.17/0.54 % (21032)------------------------------
% 0.17/0.54 % (21032)------------------------------
% 1.71/0.54 % (21035)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2998ds/98Mi)
% 1.71/0.55 % (21036)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2998ds/507Mi)
% 1.71/0.56 % (21037)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 1.71/0.56 % (21036)Refutation not found, incomplete strategy
% 1.71/0.56 % (21036)------------------------------
% 1.71/0.56 % (21036)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.71/0.56 % (21036)Termination reason: Refutation not found, incomplete strategy
% 1.71/0.56
% 1.71/0.56
% 1.71/0.56 % (21036)Memory used [KB]: 5628
% 1.71/0.56 % (21036)Time elapsed: 0.013 s
% 1.71/0.56 % (21036)Instructions burned: 20 (million)
% 1.71/0.56 % (21036)------------------------------
% 1.71/0.56 % (21036)------------------------------
% 1.83/0.56 % (21034)Instruction limit reached!
% 1.83/0.56 % (21034)------------------------------
% 1.83/0.56 % (21034)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.83/0.56 % (21034)Termination reason: Unknown
% 1.83/0.56 % (21034)Termination phase: Saturation
% 1.83/0.56
% 1.83/0.56 % (21034)Memory used [KB]: 5756
% 1.83/0.56 % (21034)Time elapsed: 0.031 s
% 1.83/0.56 % (21034)Instructions burned: 46 (million)
% 1.83/0.56 % (21034)------------------------------
% 1.83/0.56 % (21034)------------------------------
% 1.83/0.57 % (21038)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.83/0.58 % (21039)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2997ds/6Mi)
% 1.83/0.58 % (21039)Instruction limit reached!
% 1.83/0.58 % (21039)------------------------------
% 1.83/0.58 % (21039)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.83/0.58 % (21039)Termination reason: Unknown
% 1.83/0.58 % (21039)Termination phase: Function definition elimination
% 1.83/0.58
% 1.83/0.58 % (21039)Memory used [KB]: 1023
% 1.83/0.58 % (21039)Time elapsed: 0.005 s
% 1.83/0.58 % (21039)Instructions burned: 6 (million)
% 1.83/0.58 % (21039)------------------------------
% 1.83/0.58 % (21039)------------------------------
% 1.83/0.59 % (21038)Instruction limit reached!
% 1.83/0.59 % (21038)------------------------------
% 1.83/0.59 % (21038)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.83/0.59 % (21038)Termination reason: Unknown
% 1.83/0.59 % (21038)Termination phase: Saturation
% 1.83/0.59
% 1.83/0.59 % (21038)Memory used [KB]: 5756
% 1.83/0.59 % (21038)Time elapsed: 0.022 s
% 1.83/0.59 % (21038)Instructions burned: 39 (million)
% 1.83/0.59 % (21038)------------------------------
% 1.83/0.59 % (21038)------------------------------
% 1.83/0.60 % (21040)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2997ds/1087Mi)
% 1.83/0.60 % (21035)Instruction limit reached!
% 1.83/0.60 % (21035)------------------------------
% 1.83/0.60 % (21035)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.83/0.60 % (21035)Termination reason: Unknown
% 1.83/0.60 % (21035)Termination phase: Saturation
% 1.83/0.60
% 1.83/0.60 % (21035)Memory used [KB]: 1535
% 1.83/0.60 % (21035)Time elapsed: 0.058 s
% 1.83/0.60 % (21035)Instructions burned: 99 (million)
% 1.83/0.60 % (21035)------------------------------
% 1.83/0.60 % (21035)------------------------------
% 1.83/0.60 % (21018)Instruction limit reached!
% 1.83/0.60 % (21018)------------------------------
% 1.83/0.60 % (21018)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.83/0.60 % (21018)Termination reason: Unknown
% 1.83/0.60 % (21018)Termination phase: Saturation
% 1.83/0.60
% 1.83/0.60 % (21018)Memory used [KB]: 6396
% 1.83/0.60 % (21018)Time elapsed: 0.196 s
% 1.83/0.60 % (21018)Instructions burned: 378 (million)
% 1.83/0.60 % (21018)------------------------------
% 1.83/0.60 % (21018)------------------------------
% 1.83/0.60 % (21040)Refutation not found, incomplete strategy
% 1.83/0.60 % (21040)------------------------------
% 1.83/0.60 % (21040)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.83/0.60 % (21040)Termination reason: Refutation not found, incomplete strategy
% 1.83/0.60
% 1.83/0.60
% 1.83/0.60 % (21040)Memory used [KB]: 5628
% 1.83/0.60 % (21040)Time elapsed: 0.007 s
% 1.83/0.60 % (21040)Instructions burned: 9 (million)
% 1.83/0.60 % (21040)------------------------------
% 1.83/0.60 % (21040)------------------------------
% 1.83/0.61 % (21041)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 1.83/0.61 % (21042)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2997ds/44Mi)
% 1.83/0.62 % (21043)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2997ds/432Mi)
% 1.83/0.62 % (21044)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2997ds/62Mi)
% 1.83/0.62 % (21042)Refutation not found, incomplete strategy
% 1.83/0.62 % (21042)------------------------------
% 1.83/0.62 % (21042)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.83/0.62 % (21042)Termination reason: Refutation not found, incomplete strategy
% 1.83/0.62
% 1.83/0.62
% 1.83/0.62 % (21042)Memory used [KB]: 1151
% 1.83/0.62 % (21042)Time elapsed: 0.011 s
% 1.83/0.62 % (21042)Instructions burned: 16 (million)
% 1.83/0.62 % (21042)------------------------------
% 1.83/0.62 % (21042)------------------------------
% 2.33/0.64 % (21041)Instruction limit reached!
% 2.33/0.64 % (21041)------------------------------
% 2.33/0.64 % (21041)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.33/0.64 % (21041)Termination reason: Unknown
% 2.33/0.64 % (21041)Termination phase: Saturation
% 2.33/0.64
% 2.33/0.64 % (21041)Memory used [KB]: 5756
% 2.33/0.64 % (21041)Time elapsed: 0.029 s
% 2.33/0.64 % (21041)Instructions burned: 48 (million)
% 2.33/0.64 % (21041)------------------------------
% 2.33/0.64 % (21041)------------------------------
% 2.33/0.64 % (21037)Instruction limit reached!
% 2.33/0.64 % (21037)------------------------------
% 2.33/0.64 % (21037)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.33/0.64 % (21037)Termination reason: Unknown
% 2.33/0.64 % (21037)Termination phase: Saturation
% 2.33/0.64
% 2.33/0.64 % (21037)Memory used [KB]: 6140
% 2.33/0.64 % (21037)Time elapsed: 0.083 s
% 2.33/0.64 % (21037)Instructions burned: 149 (million)
% 2.33/0.64 % (21037)------------------------------
% 2.33/0.64 % (21037)------------------------------
% 2.33/0.64 % (21045)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 2.33/0.65 % (21047)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2997ds/453Mi)
% 2.33/0.65 % (21046)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2997ds/96Mi)
% 2.33/0.65 % (21044)Instruction limit reached!
% 2.33/0.65 % (21044)------------------------------
% 2.33/0.65 % (21044)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.33/0.66 % (21044)Termination reason: Unknown
% 2.33/0.66 % (21044)Termination phase: Saturation
% 2.33/0.66
% 2.33/0.66 % (21044)Memory used [KB]: 6140
% 2.33/0.66 % (21044)Time elapsed: 0.037 s
% 2.33/0.66 % (21044)Instructions burned: 63 (million)
% 2.33/0.66 % (21044)------------------------------
% 2.33/0.66 % (21044)------------------------------
% 2.33/0.66 % (21045)Instruction limit reached!
% 2.33/0.66 % (21045)------------------------------
% 2.33/0.66 % (21045)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.33/0.66 % (21045)Termination reason: Unknown
% 2.33/0.66 % (21045)Termination phase: Saturation
% 2.33/0.66
% 2.33/0.66 % (21045)Memory used [KB]: 5756
% 2.33/0.66 % (21045)Time elapsed: 0.019 s
% 2.33/0.66 % (21045)Instructions burned: 32 (million)
% 2.33/0.66 % (21045)------------------------------
% 2.33/0.66 % (21045)------------------------------
% 2.66/0.67 % (21048)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2996ds/71Mi)
% 2.66/0.67 % (21049)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2996ds/83Mi)
% 2.66/0.69 % (21049)Refutation not found, incomplete strategy
% 2.66/0.69 % (21049)------------------------------
% 2.66/0.69 % (21049)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.66/0.69 % (21049)Termination reason: Refutation not found, incomplete strategy
% 2.66/0.69
% 2.66/0.69
% 2.66/0.69 % (21049)Memory used [KB]: 5628
% 2.66/0.69 % (21049)Time elapsed: 0.046 s
% 2.66/0.69 % (21049)Instructions burned: 41 (million)
% 2.66/0.69 % (21049)------------------------------
% 2.66/0.69 % (21049)------------------------------
% 2.66/0.71 % (21046)Instruction limit reached!
% 2.66/0.71 % (21046)------------------------------
% 2.66/0.71 % (21046)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.66/0.71 % (21046)Termination reason: Unknown
% 2.66/0.71 % (21046)Termination phase: Saturation
% 2.66/0.71
% 2.66/0.71 % (21046)Memory used [KB]: 6012
% 2.66/0.71 % (21046)Time elapsed: 0.057 s
% 2.66/0.71 % (21046)Instructions burned: 96 (million)
% 2.66/0.71 % (21046)------------------------------
% 2.66/0.71 % (21046)------------------------------
% 2.66/0.71 % (21047)First to succeed.
% 2.66/0.71 % (21050)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2996ds/11Mi)
% 2.66/0.71 % (21048)Instruction limit reached!
% 2.66/0.71 % (21048)------------------------------
% 2.66/0.71 % (21048)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.66/0.71 % (21048)Termination reason: Unknown
% 2.66/0.71 % (21048)Termination phase: Saturation
% 2.66/0.71
% 2.66/0.71 % (21048)Memory used [KB]: 5884
% 2.66/0.71 % (21048)Time elapsed: 0.043 s
% 2.66/0.71 % (21048)Instructions burned: 71 (million)
% 2.66/0.71 % (21048)------------------------------
% 2.66/0.71 % (21048)------------------------------
% 2.66/0.72 % (21050)Instruction limit reached!
% 2.66/0.72 % (21050)------------------------------
% 2.66/0.72 % (21050)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.66/0.72 % (21050)Termination reason: Unknown
% 2.66/0.72 % (21050)Termination phase: Saturation
% 2.66/0.72
% 2.66/0.72 % (21050)Memory used [KB]: 5628
% 2.66/0.72 % (21050)Time elapsed: 0.008 s
% 2.66/0.72 % (21050)Instructions burned: 12 (million)
% 2.66/0.72 % (21050)------------------------------
% 2.66/0.72 % (21050)------------------------------
% 2.66/0.72 % (21047)Refutation found. Thanks to Tanya!
% 2.66/0.72 % SZS status Theorem for theBenchmark
% 2.66/0.72 % SZS output start Proof for theBenchmark
% 2.66/0.72 thf(type_def_6, type, individuals: $tType).
% 2.66/0.72 thf(func_def_1, type, prop_a: $i > $o).
% 2.66/0.72 thf(func_def_2, type, prop_b: $i > $o).
% 2.66/0.72 thf(func_def_3, type, prop_c: $i > $o).
% 2.66/0.72 thf(func_def_4, type, mfalse: $i > $o).
% 2.66/0.72 thf(func_def_5, type, mtrue: $i > $o).
% 2.66/0.72 thf(func_def_6, type, mnot: ($i > $o) > $i > $o).
% 2.66/0.72 thf(func_def_8, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 2.66/0.72 thf(func_def_9, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 2.66/0.72 thf(func_def_10, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 2.66/0.72 thf(func_def_11, type, miff: ($i > $o) > ($i > $o) > $i > $o).
% 2.66/0.72 thf(func_def_12, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 2.66/0.72 thf(func_def_13, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 2.66/0.72 thf(func_def_14, type, individuals: $tType).
% 2.66/0.72 thf(func_def_15, type, mall: (individuals > $i > $o) > $i > $o).
% 2.66/0.72 thf(func_def_16, type, mexists: (individuals > $i > $o) > $i > $o).
% 2.66/0.72 thf(func_def_17, type, mvalid: ($i > $o) > $o).
% 2.66/0.72 thf(func_def_18, type, msatisfiable: ($i > $o) > $o).
% 2.66/0.72 thf(func_def_19, type, mcountersatisfiable: ($i > $o) > $o).
% 2.66/0.72 thf(func_def_20, type, minvalid: ($i > $o) > $o).
% 2.66/0.72 thf(func_def_21, type, reli: $i > $i > $o).
% 2.66/0.72 thf(func_def_22, type, relr: $i > $i > $o).
% 2.66/0.72 thf(func_def_23, type, cs4_atom: ($i > $o) > $i > $o).
% 2.66/0.72 thf(func_def_24, type, cs4_and: ($i > $o) > ($i > $o) > $i > $o).
% 2.66/0.72 thf(func_def_25, type, cs4_or: ($i > $o) > ($i > $o) > $i > $o).
% 2.66/0.72 thf(func_def_26, type, cs4_impl: ($i > $o) > ($i > $o) > $i > $o).
% 2.66/0.72 thf(func_def_27, type, cs4_true: $i > $o).
% 2.66/0.72 thf(func_def_28, type, cs4_false: $i > $o).
% 2.66/0.72 thf(func_def_29, type, cs4_all: (individuals > $i > $o) > $i > $o).
% 2.66/0.72 thf(func_def_30, type, cs4_box: ($i > $o) > $i > $o).
% 2.66/0.72 thf(func_def_31, type, cs4_valid: ($i > $o) > $o).
% 2.66/0.72 thf(func_def_32, type, princ_inj: individuals > $i > $o).
% 2.66/0.72 thf(func_def_33, type, bl_atom: ($i > $o) > $i > $o).
% 2.66/0.72 thf(func_def_34, type, bl_princ: ($i > $o) > $i > $o).
% 2.66/0.72 thf(func_def_35, type, bl_and: ($i > $o) > ($i > $o) > $i > $o).
% 2.66/0.72 thf(func_def_36, type, bl_or: ($i > $o) > ($i > $o) > $i > $o).
% 2.66/0.72 thf(func_def_37, type, bl_impl: ($i > $o) > ($i > $o) > $i > $o).
% 2.66/0.72 thf(func_def_38, type, bl_all: (individuals > $i > $o) > $i > $o).
% 2.66/0.72 thf(func_def_39, type, bl_true: $i > $o).
% 2.66/0.72 thf(func_def_40, type, bl_false: $i > $o).
% 2.66/0.72 thf(func_def_41, type, bl_says: individuals > ($i > $o) > $i > $o).
% 2.66/0.72 thf(func_def_42, type, bl_valid: ($i > $o) > $o).
% 2.66/0.72 thf(func_def_43, type, loca: individuals).
% 2.66/0.72 thf(func_def_66, type, ph1: !>[X0: $tType]:(X0)).
% 2.66/0.72 thf(func_def_67, type, sK2: individuals).
% 2.66/0.72 thf(func_def_68, type, sK3: $i > $o).
% 2.66/0.72 thf(func_def_69, type, sK4: ($i > $o) > $i > $i).
% 2.66/0.72 thf(func_def_72, type, sK7: ($i > $o) > $i > $i).
% 2.66/0.72 thf(f504,plain,(
% 2.66/0.72 $false),
% 2.66/0.72 inference(avatar_sat_refutation,[],[f432,f467,f496])).
% 2.66/0.72 thf(f496,plain,(
% 2.66/0.72 ~spl0_8),
% 2.66/0.72 inference(avatar_contradiction_clause,[],[f495])).
% 2.66/0.72 thf(f495,plain,(
% 2.66/0.72 $false | ~spl0_8),
% 2.66/0.72 inference(trivial_inequality_removal,[],[f494])).
% 2.66/0.72 thf(f494,plain,(
% 2.66/0.72 ($false = $true) | ~spl0_8),
% 2.66/0.72 inference(duplicate_literal_removal,[],[f480])).
% 2.66/0.72 thf(f480,plain,(
% 2.66/0.72 ($false = $true) | ($false = $true) | ~spl0_8),
% 2.66/0.72 inference(superposition,[],[f479,f251])).
% 2.66/0.72 thf(f251,plain,(
% 2.66/0.72 ( ! [X0 : $i] : (($true = (reli @ X0 @ X0))) )),
% 2.66/0.72 inference(trivial_inequality_removal,[],[f250])).
% 2.66/0.72 thf(f250,plain,(
% 2.66/0.72 ( ! [X0 : $i] : (($true = (reli @ X0 @ X0)) | ($false = $true)) )),
% 2.66/0.72 inference(duplicate_literal_removal,[],[f247])).
% 2.66/0.72 thf(f247,plain,(
% 2.66/0.72 ( ! [X0 : $i] : (($false = $true) | ($true = (reli @ X0 @ X0)) | ($true = (reli @ X0 @ X0))) )),
% 2.66/0.72 inference(superposition,[],[f240,f241])).
% 2.66/0.72 thf(f241,plain,(
% 2.66/0.72 ( ! [X2 : $i,X1 : $i > $o] : (($true = (reli @ X2 @ (sK7 @ X1 @ X2))) | ((X1 @ X2) = $true)) )),
% 2.66/0.72 inference(binary_proxy_clausification,[],[f239])).
% 2.66/0.72 thf(f239,plain,(
% 2.66/0.72 ( ! [X2 : $i,X1 : $i > $o] : (((X1 @ X2) = $true) | ($false = ((reli @ X2 @ (sK7 @ X1 @ X2)) => (X1 @ (sK7 @ X1 @ X2))))) )),
% 2.66/0.72 inference(beta_eta_normalization,[],[f238])).
% 2.66/0.72 thf(f238,plain,(
% 2.66/0.72 ( ! [X2 : $i,X1 : $i > $o] : (((X1 @ X2) = $true) | ($false = ((^[Y0 : $i]: ((reli @ X2 @ Y0) => (X1 @ Y0))) @ (sK7 @ X1 @ X2)))) )),
% 2.66/0.72 inference(sigma_clausification,[],[f230])).
% 2.66/0.72 thf(f230,plain,(
% 2.66/0.72 ( ! [X2 : $i,X1 : $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => (X1 @ Y0))))) | ((X1 @ X2) = $true)) )),
% 2.66/0.72 inference(not_proxy_clausification,[],[f229])).
% 2.66/0.72 thf(f229,plain,(
% 2.66/0.72 ( ! [X2 : $i,X1 : $i > $o] : (((X1 @ X2) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => (X1 @ Y0))))) = $true)) )),
% 2.66/0.72 inference(binary_proxy_clausification,[],[f228])).
% 2.66/0.72 thf(f228,plain,(
% 2.66/0.72 ( ! [X2 : $i,X1 : $i > $o] : ((((X1 @ X2) | (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => (X1 @ Y0)))))) = $true)) )),
% 2.66/0.72 inference(beta_eta_normalization,[],[f227])).
% 2.66/0.72 thf(f227,plain,(
% 2.66/0.72 ( ! [X2 : $i,X1 : $i > $o] : ((((^[Y0 : $i]: ((X1 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (X1 @ Y1))))))) @ X2) = $true)) )),
% 2.66/0.72 inference(pi_clausification,[],[f226])).
% 2.66/0.72 thf(f226,plain,(
% 2.66/0.72 ( ! [X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (X1 @ Y1)))))))) = $true)) )),
% 2.66/0.72 inference(beta_eta_normalization,[],[f225])).
% 2.66/0.72 thf(f225,plain,(
% 2.66/0.72 ( ! [X1 : $i > $o] : (($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (Y0 @ Y2))))))))) @ X1))) )),
% 2.66/0.72 inference(pi_clausification,[],[f192])).
% 2.66/0.72 thf(f192,plain,(
% 2.66/0.72 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (Y0 @ Y2)))))))))))),
% 2.66/0.72 inference(beta_eta_normalization,[],[f178])).
% 2.66/0.72 thf(f178,plain,(
% 2.66/0.72 ($true = (!! @ ($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))))))))) @ reli @ Y0) @ Y0)))))),
% 2.66/0.72 inference(definition_unfolding,[],[f122,f153,f161,f133])).
% 2.66/0.72 thf(f133,plain,(
% 2.66/0.72 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 2.66/0.72 inference(cnf_transformation,[],[f51])).
% 2.66/0.72 thf(f51,plain,(
% 2.66/0.72 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 2.66/0.72 inference(fool_elimination,[],[f50])).
% 2.66/0.72 thf(f50,plain,(
% 2.66/0.72 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X0 @ X2 @ X3) => (X1 @ X3)))))),
% 2.66/0.72 inference(rectify,[],[f8])).
% 2.66/0.72 thf(f8,axiom,(
% 2.66/0.72 (mbox = (^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (! [X2] : ((X4 @ X0 @ X2) => (X5 @ X2)))))),
% 2.66/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)).
% 2.66/0.72 thf(f161,plain,(
% 2.66/0.72 (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)))))),
% 2.66/0.72 inference(definition_unfolding,[],[f154,f120,f125])).
% 2.66/0.72 thf(f125,plain,(
% 2.66/0.72 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 2.66/0.72 inference(cnf_transformation,[],[f102])).
% 2.66/0.72 thf(f102,plain,(
% 2.66/0.72 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 2.66/0.72 inference(fool_elimination,[],[f101])).
% 2.66/0.72 thf(f101,plain,(
% 2.66/0.72 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 2.66/0.72 inference(rectify,[],[f3])).
% 2.66/0.72 thf(f3,axiom,(
% 2.66/0.72 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 2.66/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 2.66/0.72 thf(f120,plain,(
% 2.66/0.72 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 2.66/0.72 inference(cnf_transformation,[],[f118])).
% 2.66/0.72 thf(f118,plain,(
% 2.66/0.72 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 2.66/0.72 inference(fool_elimination,[],[f117])).
% 2.66/0.72 thf(f117,plain,(
% 2.66/0.72 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))))),
% 2.66/0.72 inference(rectify,[],[f4])).
% 2.66/0.72 thf(f4,axiom,(
% 2.66/0.72 (mor = (^[X0 : $i > $o, X2 : $i > $o, X1 : $i] : ((X0 @ X1) | (X2 @ X1))))),
% 2.66/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 2.66/0.72 thf(f154,plain,(
% 2.66/0.72 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 2.66/0.72 inference(cnf_transformation,[],[f92])).
% 2.66/0.72 thf(f92,plain,(
% 2.66/0.72 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 2.66/0.72 inference(fool_elimination,[],[f91])).
% 2.66/0.72 thf(f91,plain,(
% 2.66/0.72 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimpl)),
% 2.66/0.72 inference(rectify,[],[f6])).
% 2.66/0.72 thf(f6,axiom,(
% 2.66/0.72 ((^[X1 : $i > $o, X3 : $i > $o] : (mor @ (mnot @ X1) @ X3)) = mimpl)),
% 2.66/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimpl)).
% 2.66/0.72 thf(f153,plain,(
% 2.66/0.72 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 2.66/0.72 inference(cnf_transformation,[],[f100])).
% 2.66/0.72 thf(f100,plain,(
% 2.66/0.72 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 2.66/0.72 inference(fool_elimination,[],[f99])).
% 2.66/0.72 thf(f99,plain,(
% 2.66/0.72 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 2.66/0.72 inference(rectify,[],[f12])).
% 2.66/0.72 thf(f12,axiom,(
% 2.66/0.72 ((^[X5 : $i > $o] : (! [X6] : (X5 @ X6))) = mvalid)),
% 2.66/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 2.66/0.72 thf(f122,plain,(
% 2.66/0.72 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ reli @ Y0) @ Y0)))) = $true)),
% 2.66/0.72 inference(cnf_transformation,[],[f113])).
% 2.66/0.72 thf(f113,plain,(
% 2.66/0.72 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ reli @ Y0) @ Y0)))) = $true)),
% 2.66/0.72 inference(fool_elimination,[],[f112])).
% 2.66/0.72 thf(f112,plain,(
% 2.66/0.72 ! [X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ reli @ X0) @ X0))),
% 2.66/0.72 inference(rectify,[],[f25])).
% 2.66/0.72 thf(f25,axiom,(
% 2.66/0.72 ! [X7 : $i > $o] : (mvalid @ (mimpl @ (mbox @ reli @ X7) @ X7))),
% 2.66/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p',refl_axiom_i)).
% 2.66/0.72 thf(f240,plain,(
% 2.66/0.72 ( ! [X2 : $i,X1 : $i > $o] : (($false = (X1 @ (sK7 @ X1 @ X2))) | ((X1 @ X2) = $true)) )),
% 2.66/0.72 inference(binary_proxy_clausification,[],[f239])).
% 2.66/0.72 thf(f479,plain,(
% 2.66/0.72 ( ! [X0 : $i] : (($false = (reli @ sK10 @ X0)) | ($false = (reli @ X0 @ sK10))) ) | ~spl0_8),
% 2.66/0.72 inference(trivial_inequality_removal,[],[f468])).
% 2.66/0.72 thf(f468,plain,(
% 2.66/0.72 ( ! [X0 : $i] : (($false = $true) | ($false = (reli @ sK10 @ X0)) | ($false = (reli @ X0 @ sK10))) ) | ~spl0_8),
% 2.66/0.72 inference(superposition,[],[f466,f224])).
% 2.66/0.72 thf(f224,plain,(
% 2.66/0.72 ( ! [X0 : $i] : (((relr @ X0 @ X0) = $true)) )),
% 2.66/0.72 inference(trivial_inequality_removal,[],[f223])).
% 2.66/0.72 thf(f223,plain,(
% 2.66/0.72 ( ! [X0 : $i] : (($false = $true) | ((relr @ X0 @ X0) = $true)) )),
% 2.66/0.72 inference(duplicate_literal_removal,[],[f220])).
% 2.66/0.72 thf(f220,plain,(
% 2.66/0.72 ( ! [X0 : $i] : (((relr @ X0 @ X0) = $true) | ((relr @ X0 @ X0) = $true) | ($false = $true)) )),
% 2.66/0.72 inference(superposition,[],[f211,f212])).
% 2.66/0.72 thf(f212,plain,(
% 2.66/0.72 ( ! [X2 : $i,X1 : $i > $o] : (((relr @ X2 @ (sK4 @ X1 @ X2)) = $true) | ((X1 @ X2) = $true)) )),
% 2.66/0.72 inference(binary_proxy_clausification,[],[f210])).
% 2.66/0.72 thf(f210,plain,(
% 2.66/0.72 ( ! [X2 : $i,X1 : $i > $o] : (((X1 @ X2) = $true) | (((relr @ X2 @ (sK4 @ X1 @ X2)) => (X1 @ (sK4 @ X1 @ X2))) = $false)) )),
% 2.66/0.72 inference(beta_eta_normalization,[],[f209])).
% 2.66/0.72 thf(f209,plain,(
% 2.66/0.72 ( ! [X2 : $i,X1 : $i > $o] : (($false = ((^[Y0 : $i]: ((relr @ X2 @ Y0) => (X1 @ Y0))) @ (sK4 @ X1 @ X2))) | ((X1 @ X2) = $true)) )),
% 2.66/0.72 inference(sigma_clausification,[],[f208])).
% 2.66/0.72 thf(f208,plain,(
% 2.66/0.72 ( ! [X2 : $i,X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((relr @ X2 @ Y0) => (X1 @ Y0)))) = $false) | ((X1 @ X2) = $true)) )),
% 2.66/0.72 inference(not_proxy_clausification,[],[f207])).
% 2.66/0.72 thf(f207,plain,(
% 2.66/0.72 ( ! [X2 : $i,X1 : $i > $o] : (((X1 @ X2) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((relr @ X2 @ Y0) => (X1 @ Y0))))) = $true)) )),
% 2.66/0.72 inference(binary_proxy_clausification,[],[f206])).
% 2.66/0.72 thf(f206,plain,(
% 2.66/0.72 ( ! [X2 : $i,X1 : $i > $o] : (($true = ((X1 @ X2) | (~ (!! @ $i @ (^[Y0 : $i]: ((relr @ X2 @ Y0) => (X1 @ Y0)))))))) )),
% 2.66/0.72 inference(beta_eta_normalization,[],[f205])).
% 2.66/0.72 thf(f205,plain,(
% 2.66/0.72 ( ! [X2 : $i,X1 : $i > $o] : (($true = ((^[Y0 : $i]: ((X1 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (X1 @ Y1))))))) @ X2))) )),
% 2.66/0.72 inference(pi_clausification,[],[f204])).
% 2.66/0.72 thf(f204,plain,(
% 2.66/0.72 ( ! [X1 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (X1 @ Y1)))))))))) )),
% 2.66/0.72 inference(beta_eta_normalization,[],[f203])).
% 2.66/0.72 thf(f203,plain,(
% 2.66/0.72 ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (Y0 @ Y2))))))))) @ X1) = $true)) )),
% 2.66/0.72 inference(pi_clausification,[],[f187])).
% 2.66/0.72 thf(f187,plain,(
% 2.66/0.72 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (Y0 @ Y2)))))))))))),
% 2.66/0.72 inference(beta_eta_normalization,[],[f180])).
% 2.66/0.72 thf(f180,plain,(
% 2.66/0.72 ($true = (!! @ ($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 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ relr @ Y0) @ Y0)))))),
% 2.66/0.72 inference(definition_unfolding,[],[f132,f153,f161,f133])).
% 2.66/0.72 thf(f132,plain,(
% 2.66/0.72 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ relr @ Y0) @ Y0)))) = $true)),
% 2.66/0.72 inference(cnf_transformation,[],[f94])).
% 2.66/0.72 thf(f94,plain,(
% 2.66/0.72 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ relr @ Y0) @ Y0)))) = $true)),
% 2.66/0.72 inference(fool_elimination,[],[f93])).
% 2.66/0.72 thf(f93,plain,(
% 2.66/0.72 ! [X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ relr @ X0) @ X0))),
% 2.66/0.72 inference(rectify,[],[f26])).
% 2.66/0.72 thf(f26,axiom,(
% 2.66/0.72 ! [X7 : $i > $o] : (mvalid @ (mimpl @ (mbox @ relr @ X7) @ X7))),
% 2.66/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p',refl_axiom_r)).
% 2.66/0.72 thf(f211,plain,(
% 2.66/0.72 ( ! [X2 : $i,X1 : $i > $o] : (($false = (X1 @ (sK4 @ X1 @ X2))) | ((X1 @ X2) = $true)) )),
% 2.66/0.72 inference(binary_proxy_clausification,[],[f210])).
% 2.66/0.72 thf(f466,plain,(
% 2.66/0.72 ( ! [X2 : $i,X3 : $i] : (($false = (relr @ X3 @ X2)) | ((reli @ X2 @ sK10) = $false) | ((reli @ sK10 @ X3) = $false)) ) | ~spl0_8),
% 2.66/0.72 inference(avatar_component_clause,[],[f465])).
% 2.66/0.72 thf(f465,plain,(
% 2.66/0.72 spl0_8 <=> ! [X2,X3] : (((reli @ sK10 @ X3) = $false) | ($false = (relr @ X3 @ X2)) | ((reli @ X2 @ sK10) = $false))),
% 2.66/0.72 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
% 2.66/0.72 thf(f467,plain,(
% 2.66/0.72 spl0_8 | spl0_3),
% 2.66/0.72 inference(avatar_split_clause,[],[f460,f351,f465])).
% 2.66/0.72 thf(f351,plain,(
% 2.66/0.72 spl0_3 <=> ! [X0,X1] : (($false = (reli @ X1 @ sK10)) | ((reli @ sK6 @ X0) = $false) | ((relr @ X0 @ X1) = $false))),
% 2.66/0.72 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 2.66/0.72 thf(f460,plain,(
% 2.66/0.72 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (reli @ X1 @ sK10)) | ((reli @ sK10 @ X3) = $false) | ((reli @ X2 @ sK10) = $false) | ($false = (relr @ X3 @ X2)) | ((relr @ X0 @ X1) = $false) | ((reli @ sK6 @ X0) = $false)) )),
% 2.66/0.72 inference(trivial_inequality_removal,[],[f457])).
% 2.66/0.72 thf(f457,plain,(
% 2.66/0.72 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (relr @ X3 @ X2)) | ((reli @ sK10 @ X3) = $false) | ((relr @ X0 @ X1) = $false) | ((reli @ X2 @ sK10) = $false) | ($false = (reli @ X1 @ sK10)) | ($false = $true) | ((reli @ sK6 @ X0) = $false)) )),
% 2.66/0.72 inference(superposition,[],[f386,f269])).
% 2.66/0.72 thf(f269,plain,(
% 2.66/0.72 ($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (princ_inj @ sK2 @ Y0)))))),
% 2.66/0.72 inference(not_proxy_clausification,[],[f267])).
% 2.66/0.72 thf(f267,plain,(
% 2.66/0.72 ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (princ_inj @ sK2 @ Y0))))) = $false)),
% 2.66/0.72 inference(binary_proxy_clausification,[],[f265])).
% 2.66/0.72 thf(f265,plain,(
% 2.66/0.72 ($false = ((!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (sK3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (princ_inj @ sK2 @ Y0)))))))),
% 2.66/0.72 inference(binary_proxy_clausification,[],[f264])).
% 2.66/0.72 thf(f264,plain,(
% 2.66/0.72 ($false = ((reli @ sK9 @ sK10) => ((!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (sK3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (princ_inj @ sK2 @ Y0))))))))),
% 2.66/0.72 inference(beta_eta_normalization,[],[f263])).
% 2.66/0.72 thf(f263,plain,(
% 2.66/0.72 ($false = ((^[Y0 : $i]: ((reli @ sK9 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK2 @ Y1)))))))) @ sK10))),
% 2.66/0.72 inference(sigma_clausification,[],[f258])).
% 2.66/0.72 thf(f258,plain,(
% 2.66/0.72 ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ sK9 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK2 @ Y1))))))))))),
% 2.66/0.72 inference(binary_proxy_clausification,[],[f257])).
% 2.66/0.72 thf(f257,plain,(
% 2.66/0.72 (((relr @ sK8 @ sK9) => (!! @ $i @ (^[Y0 : $i]: ((reli @ sK9 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK2 @ Y1)))))))))) = $false)),
% 2.66/0.72 inference(beta_eta_normalization,[],[f256])).
% 2.66/0.72 thf(f256,plain,(
% 2.66/0.72 ($false = ((^[Y0 : $i]: ((relr @ sK8 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK3 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK2 @ Y2))))))))))) @ sK9))),
% 2.66/0.72 inference(sigma_clausification,[],[f254])).
% 2.66/0.72 thf(f254,plain,(
% 2.66/0.72 ($false = (!! @ $i @ (^[Y0 : $i]: ((relr @ sK8 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK3 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK2 @ Y2)))))))))))))),
% 2.66/0.72 inference(binary_proxy_clausification,[],[f253])).
% 2.66/0.72 thf(f253,plain,(
% 2.66/0.72 ($false = ((reli @ sK6 @ sK8) => (!! @ $i @ (^[Y0 : $i]: ((relr @ sK8 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK3 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK2 @ Y2))))))))))))))),
% 2.66/0.72 inference(beta_eta_normalization,[],[f252])).
% 2.66/0.72 thf(f252,plain,(
% 2.66/0.72 (((^[Y0 : $i]: ((reli @ sK6 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK3 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK2 @ Y3)))))))))))))) @ sK8) = $false)),
% 2.66/0.72 inference(sigma_clausification,[],[f236])).
% 2.66/0.72 thf(f236,plain,(
% 2.66/0.72 ((!! @ $i @ (^[Y0 : $i]: ((reli @ sK6 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK3 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK2 @ Y3))))))))))))))) = $false)),
% 2.66/0.72 inference(binary_proxy_clausification,[],[f233])).
% 2.66/0.72 thf(f233,plain,(
% 2.66/0.72 (((!! @ $i @ (^[Y0 : $i]: ((reli @ sK6 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK3 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK2 @ Y3))))))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK6 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => ((!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (sK3 @ Y6)))) | (~ (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (princ_inj @ sK2 @ Y6))))))))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK2 @ Y3))))))))))))))))) = $false)),
% 2.66/0.72 inference(binary_proxy_clausification,[],[f232])).
% 2.66/0.72 thf(f232,plain,(
% 2.66/0.72 (((reli @ sK5 @ sK6) => ((!! @ $i @ (^[Y0 : $i]: ((reli @ sK6 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK3 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK2 @ Y3))))))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK6 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => ((!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (sK3 @ Y6)))) | (~ (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (princ_inj @ sK2 @ Y6))))))))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK2 @ Y3)))))))))))))))))) = $false)),
% 2.66/0.72 inference(beta_eta_normalization,[],[f231])).
% 2.66/0.72 thf(f231,plain,(
% 2.66/0.72 (((^[Y0 : $i]: ((reli @ sK5 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK3 @ Y4)))) | (~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ sK2 @ Y4))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((relr @ Y4 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => ((!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (sK3 @ Y7)))) | (~ (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (princ_inj @ sK2 @ Y7))))))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ sK2 @ Y4))))))))))))))))))) @ sK6) = $false)),
% 2.66/0.72 inference(sigma_clausification,[],[f218])).
% 2.66/0.72 thf(f218,plain,(
% 2.66/0.72 ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ sK5 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK3 @ Y4)))) | (~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ sK2 @ Y4))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((relr @ Y4 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => ((!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (sK3 @ Y7)))) | (~ (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (princ_inj @ sK2 @ Y7))))))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ sK2 @ Y4)))))))))))))))))))))),
% 2.66/0.72 inference(beta_eta_normalization,[],[f217])).
% 2.66/0.72 thf(f217,plain,(
% 2.66/0.72 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (sK3 @ Y5)))) | (~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (princ_inj @ sK2 @ Y5))))))))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((relr @ Y5 @ Y6) => (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => ((!! @ $i @ (^[Y8 : $i]: ((reli @ Y7 @ Y8) => (sK3 @ Y8)))) | (~ (!! @ $i @ (^[Y8 : $i]: ((reli @ Y7 @ Y8) => (princ_inj @ sK2 @ Y8))))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (princ_inj @ sK2 @ Y5))))))))))))))))))))) @ sK5))),
% 2.66/0.72 inference(sigma_clausification,[],[f202])).
% 2.66/0.72 thf(f202,plain,(
% 2.66/0.72 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (sK3 @ Y5)))) | (~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (princ_inj @ sK2 @ Y5))))))))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((relr @ Y5 @ Y6) => (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => ((!! @ $i @ (^[Y8 : $i]: ((reli @ Y7 @ Y8) => (sK3 @ Y8)))) | (~ (!! @ $i @ (^[Y8 : $i]: ((reli @ Y7 @ Y8) => (princ_inj @ sK2 @ Y8))))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (princ_inj @ sK2 @ Y5)))))))))))))))))))))))),
% 2.66/0.72 inference(beta_eta_normalization,[],[f201])).
% 2.66/0.72 thf(f201,plain,(
% 2.66/0.72 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => ((!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (Y0 @ Y6)))) | (~ (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (princ_inj @ sK2 @ Y6))))))))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => ((!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (!! @ $i @ (^[Y7 : $i]: ((relr @ Y6 @ Y7) => (!! @ $i @ (^[Y8 : $i]: ((reli @ Y7 @ Y8) => ((!! @ $i @ (^[Y9 : $i]: ((reli @ Y8 @ Y9) => (Y0 @ Y9)))) | (~ (!! @ $i @ (^[Y9 : $i]: ((reli @ Y8 @ Y9) => (princ_inj @ sK2 @ Y9))))))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (princ_inj @ sK2 @ Y6))))))))))))))))))))))) @ sK3) = $false)),
% 2.66/0.72 inference(sigma_clausification,[],[f196])).
% 2.66/0.72 thf(f196,plain,(
% 2.66/0.72 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => ((!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (Y0 @ Y6)))) | (~ (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (princ_inj @ sK2 @ Y6))))))))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => ((!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (!! @ $i @ (^[Y7 : $i]: ((relr @ Y6 @ Y7) => (!! @ $i @ (^[Y8 : $i]: ((reli @ Y7 @ Y8) => ((!! @ $i @ (^[Y9 : $i]: ((reli @ Y8 @ Y9) => (Y0 @ Y9)))) | (~ (!! @ $i @ (^[Y9 : $i]: ((reli @ Y8 @ Y9) => (princ_inj @ sK2 @ Y9))))))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (princ_inj @ sK2 @ Y6)))))))))))))))))))))))) = $false)),
% 2.66/0.72 inference(beta_eta_normalization,[],[f195])).
% 2.66/0.72 thf(f195,plain,(
% 2.66/0.72 ($false = ((^[Y0 : individuals]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((relr @ Y4 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => ((!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (Y1 @ Y7)))) | (~ (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (princ_inj @ Y0 @ Y7))))))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((relr @ Y4 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => ((!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (!! @ $i @ (^[Y8 : $i]: ((relr @ Y7 @ Y8) => (!! @ $i @ (^[Y9 : $i]: ((reli @ Y8 @ Y9) => ((!! @ $i @ (^[Y10 : $i]: ((reli @ Y9 @ Y10) => (Y1 @ Y10)))) | (~ (!! @ $i @ (^[Y10 : $i]: ((reli @ Y9 @ Y10) => (princ_inj @ Y0 @ Y10))))))))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (princ_inj @ Y0 @ Y7))))))))))))))))))))))))) @ sK2))),
% 2.66/0.72 inference(sigma_clausification,[],[f194])).
% 2.66/0.72 thf(f194,plain,(
% 2.66/0.72 ($false = (!! @ individuals @ (^[Y0 : individuals]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((relr @ Y4 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => ((!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (Y1 @ Y7)))) | (~ (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (princ_inj @ Y0 @ Y7))))))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((relr @ Y4 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => ((!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (!! @ $i @ (^[Y8 : $i]: ((relr @ Y7 @ Y8) => (!! @ $i @ (^[Y9 : $i]: ((reli @ Y8 @ Y9) => ((!! @ $i @ (^[Y10 : $i]: ((reli @ Y9 @ Y10) => (Y1 @ Y10)))) | (~ (!! @ $i @ (^[Y10 : $i]: ((reli @ Y9 @ Y10) => (princ_inj @ Y0 @ Y10))))))))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (princ_inj @ Y0 @ Y7)))))))))))))))))))))))))))),
% 2.66/0.72 inference(not_proxy_clausification,[],[f188])).
% 2.66/0.72 thf(f188,plain,(
% 2.66/0.72 ($true = (~ (!! @ individuals @ (^[Y0 : individuals]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((relr @ Y4 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => ((!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (Y1 @ Y7)))) | (~ (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (princ_inj @ Y0 @ Y7))))))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((relr @ Y4 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => ((!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (!! @ $i @ (^[Y8 : $i]: ((relr @ Y7 @ Y8) => (!! @ $i @ (^[Y9 : $i]: ((reli @ Y8 @ Y9) => ((!! @ $i @ (^[Y10 : $i]: ((reli @ Y9 @ Y10) => (Y1 @ Y10)))) | (~ (!! @ $i @ (^[Y10 : $i]: ((reli @ Y9 @ Y10) => (princ_inj @ Y0 @ Y10))))))))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (princ_inj @ Y0 @ Y7))))))))))))))))))))))))))))),
% 2.66/0.72 inference(beta_eta_normalization,[],[f185])).
% 2.66/0.72 thf(f185,plain,(
% 2.66/0.72 ((~ (!! @ individuals @ (^[Y0 : individuals]: (!! @ ($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 > $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y6 @ Y8 @ Y9) => (Y7 @ Y9))))))))) @ reli @ ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i > $o]: ((^[Y9 : $i > $o]: ((^[Y10 : $i]: ((Y9 @ Y10) | (Y8 @ Y10))))))) @ ((^[Y8 : $i > $o]: ((^[Y9 : $i]: (~ (Y8 @ Y9))))) @ Y6) @ Y7)))) @ Y4 @ Y5))))) @ Y2 @ Y3)))) @ ((^[Y2 : individuals]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y5 @ Y7 @ Y8) => (Y6 @ Y8))))))))) @ reli @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y5 @ Y7 @ Y8) => (Y6 @ Y8))))))))) @ relr @ Y4))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y6 @ Y8 @ Y9) => (Y7 @ Y9))))))))) @ reli @ ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i > $o]: ((^[Y9 : $i > $o]: ((^[Y10 : $i]: ((Y9 @ Y10) | (Y8 @ Y10))))))) @ ((^[Y8 : $i > $o]: ((^[Y9 : $i]: (~ (Y8 @ Y9))))) @ Y6) @ Y7)))) @ Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y6 @ Y8 @ Y9) => (Y7 @ Y9))))))))) @ reli @ Y5)) @ Y4)) @ (princ_inj @ Y2)) @ Y3))))) @ Y0 @ ((^[Y2 : individuals]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y5 @ Y7 @ Y8) => (Y6 @ Y8))))))))) @ reli @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y5 @ Y7 @ Y8) => (Y6 @ Y8))))))))) @ relr @ Y4))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y6 @ Y8 @ Y9) => (Y7 @ Y9))))))))) @ reli @ ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i > $o]: ((^[Y9 : $i > $o]: ((^[Y10 : $i]: ((Y9 @ Y10) | (Y8 @ Y10))))))) @ ((^[Y8 : $i > $o]: ((^[Y9 : $i]: (~ (Y8 @ Y9))))) @ Y6) @ Y7)))) @ Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y6 @ Y8 @ Y9) => (Y7 @ Y9))))))))) @ reli @ Y5)) @ Y4)) @ (princ_inj @ Y2)) @ Y3))))) @ Y0 @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ Y3)) @ Y2)) @ Y1))) @ ((^[Y2 : individuals]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y5 @ Y7 @ Y8) => (Y6 @ Y8))))))))) @ reli @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y5 @ Y7 @ Y8) => (Y6 @ Y8))))))))) @ relr @ Y4))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y6 @ Y8 @ Y9) => (Y7 @ Y9))))))))) @ reli @ ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i > $o]: ((^[Y9 : $i > $o]: ((^[Y10 : $i]: ((Y9 @ Y10) | (Y8 @ Y10))))))) @ ((^[Y8 : $i > $o]: ((^[Y9 : $i]: (~ (Y8 @ Y9))))) @ Y6) @ Y7)))) @ Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y6 @ Y8 @ Y9) => (Y7 @ Y9))))))))) @ reli @ Y5)) @ Y4)) @ (princ_inj @ Y2)) @ Y3))))) @ Y0 @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ Y3)) @ Y2)) @ Y1))))))))) = $true)),
% 2.66/0.72 inference(definition_unfolding,[],[f151,f177,f174,f176,f176,f170,f176,f170])).
% 2.66/0.72 thf(f170,plain,(
% 2.66/0.72 (bl_atom = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ reli @ Y1)) @ Y0)))),
% 2.66/0.72 inference(definition_unfolding,[],[f150,f163])).
% 2.66/0.72 thf(f163,plain,(
% 2.66/0.72 (cs4_atom = (^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ reli @ Y0)))),
% 2.66/0.72 inference(definition_unfolding,[],[f141,f133])).
% 2.66/0.72 thf(f141,plain,(
% 2.66/0.72 (cs4_atom = (^[Y0 : $i > $o]: (mbox @ reli @ Y0)))),
% 2.66/0.72 inference(cnf_transformation,[],[f54])).
% 2.66/0.72 thf(f54,plain,(
% 2.66/0.72 (cs4_atom = (^[Y0 : $i > $o]: (mbox @ reli @ Y0)))),
% 2.66/0.72 inference(fool_elimination,[],[f53])).
% 2.66/0.72 thf(f53,plain,(
% 2.66/0.72 ((^[X0 : $i > $o] : (mbox @ reli @ X0)) = cs4_atom)),
% 2.66/0.72 inference(rectify,[],[f16])).
% 2.66/0.72 thf(f16,axiom,(
% 2.66/0.72 ((^[X5 : $i > $o] : (mbox @ reli @ X5)) = cs4_atom)),
% 2.66/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cs4_atom)).
% 2.66/0.72 thf(f150,plain,(
% 2.66/0.72 (bl_atom = (^[Y0 : $i > $o]: (cs4_atom @ Y0)))),
% 2.66/0.72 inference(cnf_transformation,[],[f64])).
% 2.66/0.72 thf(f64,plain,(
% 2.66/0.72 (bl_atom = (^[Y0 : $i > $o]: (cs4_atom @ Y0)))),
% 2.66/0.72 inference(fool_elimination,[],[f63])).
% 2.66/0.72 thf(f63,plain,(
% 2.66/0.72 (bl_atom = (^[X0 : $i > $o] : (cs4_atom @ X0)))),
% 2.66/0.72 inference(rectify,[],[f30])).
% 2.66/0.72 thf(f30,axiom,(
% 2.66/0.72 (bl_atom = (^[X5 : $i > $o] : (cs4_atom @ X5)))),
% 2.66/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bl_atom)).
% 2.66/0.72 thf(f176,plain,(
% 2.66/0.72 (bl_says = (^[Y0 : individuals]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ reli @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ relr @ Y2))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: ((Y7 @ Y8) | (Y6 @ Y8))))))) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (~ (Y6 @ Y7))))) @ Y4) @ Y5)))) @ Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ Y3)) @ Y2)) @ (princ_inj @ Y0)) @ Y1))))))),
% 2.66/0.72 inference(definition_unfolding,[],[f147,f168,f166,f171])).
% 2.66/0.72 thf(f171,plain,(
% 2.66/0.72 (bl_princ = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ reli @ Y1)) @ Y0)))),
% 2.66/0.72 inference(definition_unfolding,[],[f159,f163])).
% 2.66/0.72 thf(f159,plain,(
% 2.66/0.72 (bl_princ = (^[Y0 : $i > $o]: (cs4_atom @ Y0)))),
% 2.66/0.72 inference(cnf_transformation,[],[f58])).
% 2.66/0.72 thf(f58,plain,(
% 2.66/0.72 (bl_princ = (^[Y0 : $i > $o]: (cs4_atom @ Y0)))),
% 2.66/0.72 inference(fool_elimination,[],[f57])).
% 2.66/0.72 thf(f57,plain,(
% 2.66/0.72 (bl_princ = (^[X0 : $i > $o] : (cs4_atom @ X0)))),
% 2.66/0.72 inference(rectify,[],[f31])).
% 2.66/0.72 thf(f31,axiom,(
% 2.66/0.72 (bl_princ = (^[X5 : $i > $o] : (cs4_atom @ X5)))),
% 2.66/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bl_princ)).
% 2.66/0.72 thf(f166,plain,(
% 2.66/0.72 (cs4_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ reli @ ((^[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))))))),
% 2.66/0.72 inference(definition_unfolding,[],[f124,f133,f161])).
% 2.66/0.72 thf(f124,plain,(
% 2.66/0.72 (cs4_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ reli @ (mimpl @ Y0 @ Y1))))))),
% 2.66/0.72 inference(cnf_transformation,[],[f98])).
% 2.66/0.72 thf(f98,plain,(
% 2.66/0.72 (cs4_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ reli @ (mimpl @ Y0 @ Y1))))))),
% 2.66/0.72 inference(fool_elimination,[],[f97])).
% 2.66/0.72 thf(f97,plain,(
% 2.66/0.72 ((^[X0 : $i > $o, X1 : $i > $o] : (mbox @ reli @ (mimpl @ X0 @ X1))) = cs4_impl)),
% 2.66/0.72 inference(rectify,[],[f19])).
% 2.66/0.72 thf(f19,axiom,(
% 2.66/0.72 ((^[X7 : $i > $o, X8 : $i > $o] : (mbox @ reli @ (mimpl @ X7 @ X8))) = cs4_impl)),
% 2.66/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cs4_impl)).
% 2.66/0.72 thf(f168,plain,(
% 2.66/0.72 (cs4_box = (^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ reli @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ relr @ Y0))))),
% 2.66/0.72 inference(definition_unfolding,[],[f148,f133,f133])).
% 2.66/0.72 thf(f148,plain,(
% 2.66/0.72 (cs4_box = (^[Y0 : $i > $o]: (mbox @ reli @ (mbox @ relr @ Y0))))),
% 2.66/0.72 inference(cnf_transformation,[],[f105])).
% 2.66/0.72 thf(f105,plain,(
% 2.66/0.72 (cs4_box = (^[Y0 : $i > $o]: (mbox @ reli @ (mbox @ relr @ Y0))))),
% 2.66/0.72 inference(fool_elimination,[],[f104])).
% 2.66/0.72 thf(f104,plain,(
% 2.66/0.72 ((^[X0 : $i > $o] : (mbox @ reli @ (mbox @ relr @ X0))) = cs4_box)),
% 2.66/0.72 inference(rectify,[],[f23])).
% 2.66/0.72 thf(f23,axiom,(
% 2.66/0.72 ((^[X7 : $i > $o] : (mbox @ reli @ (mbox @ relr @ X7))) = cs4_box)),
% 2.66/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cs4_box)).
% 2.66/0.72 thf(f147,plain,(
% 2.66/0.72 (bl_says = (^[Y0 : individuals]: ((^[Y1 : $i > $o]: (cs4_box @ (cs4_impl @ (bl_princ @ (princ_inj @ Y0)) @ Y1))))))),
% 2.66/0.72 inference(cnf_transformation,[],[f71])).
% 2.66/0.72 thf(f71,plain,(
% 2.66/0.72 (bl_says = (^[Y0 : individuals]: ((^[Y1 : $i > $o]: (cs4_box @ (cs4_impl @ (bl_princ @ (princ_inj @ Y0)) @ Y1))))))),
% 2.66/0.72 inference(fool_elimination,[],[f70])).
% 2.66/0.72 thf(f70,plain,(
% 2.66/0.72 ((^[X0 : individuals, X1 : $i > $o] : (cs4_box @ (cs4_impl @ (bl_princ @ (princ_inj @ X0)) @ X1))) = bl_says)),
% 2.66/0.72 inference(rectify,[],[f38])).
% 2.66/0.72 thf(f38,axiom,(
% 2.66/0.72 ((^[X9 : individuals, X7 : $i > $o] : (cs4_box @ (cs4_impl @ (bl_princ @ (princ_inj @ X9)) @ X7))) = bl_says)),
% 2.66/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bl_says)).
% 2.66/0.72 thf(f174,plain,(
% 2.66/0.72 (bl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: ((Y7 @ Y8) | (Y6 @ Y8))))))) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (~ (Y6 @ Y7))))) @ Y4) @ Y5)))) @ Y2 @ Y3))))) @ Y0 @ Y1)))))),
% 2.66/0.72 inference(definition_unfolding,[],[f130,f166])).
% 2.66/0.72 thf(f130,plain,(
% 2.66/0.72 (bl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (cs4_impl @ Y0 @ Y1)))))),
% 2.66/0.72 inference(cnf_transformation,[],[f56])).
% 2.66/0.72 thf(f56,plain,(
% 2.66/0.72 (bl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (cs4_impl @ Y0 @ Y1)))))),
% 2.66/0.72 inference(fool_elimination,[],[f55])).
% 2.66/0.72 thf(f55,plain,(
% 2.66/0.72 (bl_impl = (^[X0 : $i > $o, X1 : $i > $o] : (cs4_impl @ X0 @ X1)))),
% 2.66/0.72 inference(rectify,[],[f34])).
% 2.66/0.72 thf(f34,axiom,(
% 2.66/0.72 (bl_impl = (^[X7 : $i > $o, X8 : $i > $o] : (cs4_impl @ X7 @ X8)))),
% 2.66/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bl_impl)).
% 2.66/0.72 thf(f177,plain,(
% 2.66/0.72 (bl_valid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 2.66/0.72 inference(definition_unfolding,[],[f137,f153])).
% 2.66/0.72 thf(f137,plain,(
% 2.66/0.72 (mvalid = bl_valid)),
% 2.66/0.72 inference(cnf_transformation,[],[f114])).
% 2.66/0.72 thf(f114,plain,(
% 2.66/0.72 (mvalid = bl_valid)),
% 2.66/0.72 inference(fool_elimination,[],[f39])).
% 2.66/0.72 thf(f39,axiom,(
% 2.66/0.72 (mvalid = bl_valid)),
% 2.66/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bl_valid_def)).
% 2.66/0.72 thf(f151,plain,(
% 2.66/0.72 ($true = (~ (!! @ individuals @ (^[Y0 : individuals]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (bl_valid @ (bl_impl @ (bl_says @ Y0 @ (bl_says @ Y0 @ (bl_atom @ Y1))) @ (bl_says @ Y0 @ (bl_atom @ Y1))))))))))),
% 2.66/0.72 inference(cnf_transformation,[],[f47])).
% 2.66/0.72 thf(f47,plain,(
% 2.66/0.72 ($true = (~ (!! @ individuals @ (^[Y0 : individuals]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (bl_valid @ (bl_impl @ (bl_says @ Y0 @ (bl_says @ Y0 @ (bl_atom @ Y1))) @ (bl_says @ Y0 @ (bl_atom @ Y1))))))))))),
% 2.66/0.72 inference(fool_elimination,[],[f46])).
% 2.66/0.72 thf(f46,plain,(
% 2.66/0.72 ~! [X0 : $i > $o,X1 : individuals] : (bl_valid @ (bl_impl @ (bl_says @ X1 @ (bl_says @ X1 @ (bl_atom @ X0))) @ (bl_says @ X1 @ (bl_atom @ X0))))),
% 2.66/0.72 inference(rectify,[],[f42])).
% 2.66/0.72 thf(f42,negated_conjecture,(
% 2.66/0.72 ~! [X7 : $i > $o,X9 : individuals] : (bl_valid @ (bl_impl @ (bl_says @ X9 @ (bl_says @ X9 @ (bl_atom @ X7))) @ (bl_says @ X9 @ (bl_atom @ X7))))),
% 2.66/0.72 inference(negated_conjecture,[],[f41])).
% 2.66/0.72 thf(f41,conjecture,(
% 2.66/0.72 ! [X7 : $i > $o,X9 : individuals] : (bl_valid @ (bl_impl @ (bl_says @ X9 @ (bl_says @ X9 @ (bl_atom @ X7))) @ (bl_says @ X9 @ (bl_atom @ X7))))),
% 2.66/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bl_c4)).
% 2.66/0.72 thf(f386,plain,(
% 2.66/0.72 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (princ_inj @ sK2 @ Y0)))) = $false) | ((relr @ X0 @ X2) = $false) | ($false = (reli @ X2 @ X1)) | ((reli @ sK6 @ X0) = $false) | ($false = (reli @ X4 @ sK10)) | ($false = (reli @ X1 @ X3)) | ($false = (relr @ X3 @ X4))) )),
% 2.66/0.72 inference(trivial_inequality_removal,[],[f385])).
% 2.66/0.72 thf(f385,plain,(
% 2.66/0.72 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($false = $true) | ((relr @ X0 @ X2) = $false) | ($false = (relr @ X3 @ X4)) | ($false = (reli @ X2 @ X1)) | ($false = (reli @ X1 @ X3)) | ((!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (princ_inj @ sK2 @ Y0)))) = $false) | ((reli @ sK6 @ X0) = $false) | ($false = (reli @ X4 @ sK10))) )),
% 2.66/0.72 inference(forward_demodulation,[],[f384,f268])).
% 2.66/0.72 thf(f268,plain,(
% 2.66/0.72 ((!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (sK3 @ Y0)))) = $false)),
% 2.66/0.72 inference(binary_proxy_clausification,[],[f265])).
% 2.66/0.72 thf(f384,plain,(
% 2.66/0.72 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($false = (reli @ X2 @ X1)) | ($false = (reli @ X4 @ sK10)) | ((!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (sK3 @ Y0)))) = $true) | ((reli @ sK6 @ X0) = $false) | ($false = (reli @ X1 @ X3)) | ($false = (relr @ X3 @ X4)) | ((relr @ X0 @ X2) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (princ_inj @ sK2 @ Y0)))) = $false)) )),
% 2.66/0.72 inference(trivial_inequality_removal,[],[f379])).
% 2.66/0.72 thf(f379,plain,(
% 2.66/0.72 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((reli @ sK6 @ X0) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (princ_inj @ sK2 @ Y0)))) = $false) | ($false = (relr @ X3 @ X4)) | ($false = $true) | ($false = (reli @ X1 @ X3)) | ($false = (reli @ X2 @ X1)) | ($false = (reli @ X4 @ sK10)) | ((!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (sK3 @ Y0)))) = $true) | ((relr @ X0 @ X2) = $false)) )),
% 2.66/0.72 inference(superposition,[],[f269,f349])).
% 2.66/0.72 thf(f349,plain,(
% 2.66/0.72 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X6 @ Y0) => (princ_inj @ sK2 @ Y0))))) | ((reli @ sK6 @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK2 @ Y0)))) = $false) | ($false = (relr @ X1 @ X2)) | ((reli @ X2 @ X3) = $false) | ((relr @ X4 @ X5) = $false) | ($false = (reli @ X3 @ X4)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X6 @ Y0) => (sK3 @ Y0))))) | ((reli @ X5 @ X6) = $false)) )),
% 2.66/0.72 inference(not_proxy_clausification,[],[f348])).
% 2.66/0.72 thf(f348,plain,(
% 2.66/0.72 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X6 @ Y0) => (sK3 @ Y0))))) | ((relr @ X4 @ X5) = $false) | ($false = (reli @ X3 @ X4)) | ($false = (relr @ X1 @ X2)) | ((reli @ X5 @ X6) = $false) | ((reli @ sK6 @ X1) = $false) | ((reli @ X2 @ X3) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X6 @ Y0) => (princ_inj @ sK2 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK2 @ Y0)))) = $false)) )),
% 2.66/0.72 inference(binary_proxy_clausification,[],[f347])).
% 2.66/0.72 thf(f347,plain,(
% 2.66/0.72 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($false = (relr @ X1 @ X2)) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((reli @ X6 @ Y0) => (sK3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X6 @ Y0) => (princ_inj @ sK2 @ Y0))))))) | ((reli @ X2 @ X3) = $false) | ((relr @ X4 @ X5) = $false) | ($false = (reli @ X3 @ X4)) | ((!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK2 @ Y0)))) = $false) | ((reli @ sK6 @ X1) = $false) | ((reli @ X5 @ X6) = $false)) )),
% 2.66/0.72 inference(binary_proxy_clausification,[],[f345])).
% 2.66/0.72 thf(f345,plain,(
% 2.66/0.72 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($false = (reli @ X3 @ X4)) | ((reli @ sK6 @ X1) = $false) | ((reli @ X2 @ X3) = $false) | ($false = (relr @ X1 @ X2)) | (((reli @ X5 @ X6) => ((!! @ $i @ (^[Y0 : $i]: ((reli @ X6 @ Y0) => (sK3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X6 @ Y0) => (princ_inj @ sK2 @ Y0))))))) = $true) | ((relr @ X4 @ X5) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK2 @ Y0)))) = $false)) )),
% 2.66/0.72 inference(beta_eta_normalization,[],[f341])).
% 2.66/0.72 thf(f341,plain,(
% 2.66/0.72 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (((relr @ X4 @ X5) = $false) | ((reli @ sK6 @ X1) = $false) | (((^[Y0 : $i]: ((reli @ X5 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK2 @ Y1)))))))) @ X6) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK2 @ Y0)))) = $false) | ($false = (relr @ X1 @ X2)) | ($false = (reli @ X3 @ X4)) | ((reli @ X2 @ X3) = $false)) )),
% 2.66/0.72 inference(pi_clausification,[],[f328])).
% 2.66/0.72 thf(f328,plain,(
% 2.66/0.72 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((reli @ X5 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK2 @ Y1))))))))) = $true) | ((reli @ X2 @ X3) = $false) | ($false = (reli @ X3 @ X4)) | ($false = (relr @ X1 @ X2)) | ((relr @ X4 @ X5) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK2 @ Y0)))) = $false) | ((reli @ sK6 @ X1) = $false)) )),
% 2.66/0.72 inference(binary_proxy_clausification,[],[f327])).
% 2.66/0.72 thf(f327,plain,(
% 2.66/0.72 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK2 @ Y0)))) = $false) | ((reli @ sK6 @ X1) = $false) | ($false = (reli @ X3 @ X4)) | ($false = (relr @ X1 @ X2)) | ((reli @ X2 @ X3) = $false) | (((relr @ X4 @ X5) => (!! @ $i @ (^[Y0 : $i]: ((reli @ X5 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK2 @ Y1)))))))))) = $true)) )),
% 2.66/0.72 inference(beta_eta_normalization,[],[f322])).
% 2.66/0.72 thf(f322,plain,(
% 2.66/0.72 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (($false = (reli @ X3 @ X4)) | ($false = (relr @ X1 @ X2)) | ((!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK2 @ Y0)))) = $false) | ((reli @ X2 @ X3) = $false) | ((reli @ sK6 @ X1) = $false) | (((^[Y0 : $i]: ((relr @ X4 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK3 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK2 @ Y2))))))))))) @ X5) = $true)) )),
% 2.66/0.72 inference(pi_clausification,[],[f313])).
% 2.66/0.72 thf(f313,plain,(
% 2.66/0.72 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((relr @ X4 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK3 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK2 @ Y2)))))))))))) = $true) | ($false = (relr @ X1 @ X2)) | ($false = (reli @ X3 @ X4)) | ((reli @ X2 @ X3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK2 @ Y0)))) = $false) | ((reli @ sK6 @ X1) = $false)) )),
% 2.66/0.72 inference(binary_proxy_clausification,[],[f311])).
% 2.66/0.72 thf(f311,plain,(
% 2.66/0.72 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (relr @ X1 @ X2)) | ((reli @ sK6 @ X1) = $false) | ($true = ((reli @ X3 @ X4) => (!! @ $i @ (^[Y0 : $i]: ((relr @ X4 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK3 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK2 @ Y2)))))))))))))) | ((reli @ X2 @ X3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK2 @ Y0)))) = $false)) )),
% 2.66/0.72 inference(beta_eta_normalization,[],[f307])).
% 2.66/0.72 thf(f307,plain,(
% 2.66/0.72 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((reli @ X2 @ X3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK2 @ Y0)))) = $false) | ($false = (relr @ X1 @ X2)) | (((^[Y0 : $i]: ((reli @ X3 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK3 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK2 @ Y3)))))))))))))) @ X4) = $true) | ((reli @ sK6 @ X1) = $false)) )),
% 2.66/0.72 inference(pi_clausification,[],[f300])).
% 2.66/0.72 thf(f300,plain,(
% 2.66/0.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK3 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK2 @ Y3)))))))))))))))) | ($false = (relr @ X1 @ X2)) | ((reli @ sK6 @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK2 @ Y0)))) = $false) | ((reli @ X2 @ X3) = $false)) )),
% 2.66/0.72 inference(not_proxy_clausification,[],[f299])).
% 2.66/0.72 thf(f299,plain,(
% 2.66/0.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK3 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK2 @ Y3)))))))))))))))) | ((reli @ sK6 @ X1) = $false) | ($false = (relr @ X1 @ X2)) | ((reli @ X2 @ X3) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK2 @ Y0))))))) )),
% 2.66/0.72 inference(binary_proxy_clausification,[],[f298])).
% 2.66/0.72 thf(f298,plain,(
% 2.66/0.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((reli @ sK6 @ X1) = $false) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK3 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK2 @ Y3))))))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK2 @ Y0))))))) | ($false = (relr @ X1 @ X2)) | ((reli @ X2 @ X3) = $false)) )),
% 2.66/0.72 inference(binary_proxy_clausification,[],[f297])).
% 2.66/0.72 thf(f297,plain,(
% 2.66/0.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((reli @ X2 @ X3) => ((!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK3 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK2 @ Y3))))))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK2 @ Y0))))))) = $true) | ($false = (relr @ X1 @ X2)) | ((reli @ sK6 @ X1) = $false)) )),
% 2.66/0.72 inference(beta_eta_normalization,[],[f296])).
% 2.66/0.72 thf(f296,plain,(
% 2.66/0.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((reli @ sK6 @ X1) = $false) | ($false = (relr @ X1 @ X2)) | ($true = ((^[Y0 : $i]: ((reli @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK3 @ Y4)))) | (~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ sK2 @ Y4))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK2 @ Y1)))))))) @ X3))) )),
% 2.66/0.72 inference(pi_clausification,[],[f276])).
% 2.66/0.72 thf(f276,plain,(
% 2.66/0.72 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK3 @ Y4)))) | (~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ sK2 @ Y4))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK2 @ Y1)))))))))) | ($false = (relr @ X1 @ X2)) | ((reli @ sK6 @ X1) = $false)) )),
% 2.66/0.72 inference(binary_proxy_clausification,[],[f275])).
% 2.66/0.72 thf(f275,plain,(
% 2.66/0.72 ( ! [X2 : $i,X1 : $i] : (($true = ((relr @ X1 @ X2) => (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK3 @ Y4)))) | (~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ sK2 @ Y4))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK2 @ Y1))))))))))) | ((reli @ sK6 @ X1) = $false)) )),
% 2.66/0.72 inference(beta_eta_normalization,[],[f274])).
% 2.66/0.72 thf(f274,plain,(
% 2.66/0.72 ( ! [X2 : $i,X1 : $i] : (((reli @ sK6 @ X1) = $false) | ($true = ((^[Y0 : $i]: ((relr @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (sK3 @ Y5)))) | (~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (princ_inj @ sK2 @ Y5))))))))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK2 @ Y2))))))))))) @ X2))) )),
% 2.66/0.72 inference(pi_clausification,[],[f262])).
% 2.66/0.72 thf(f262,plain,(
% 2.66/0.72 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((relr @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (sK3 @ Y5)))) | (~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (princ_inj @ sK2 @ Y5))))))))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK2 @ Y2)))))))))))) = $true) | ((reli @ sK6 @ X1) = $false)) )),
% 2.66/0.72 inference(binary_proxy_clausification,[],[f261])).
% 2.66/0.72 thf(f261,plain,(
% 2.66/0.72 ( ! [X1 : $i] : (($true = ((reli @ sK6 @ X1) => (!! @ $i @ (^[Y0 : $i]: ((relr @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (sK3 @ Y5)))) | (~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (princ_inj @ sK2 @ Y5))))))))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK2 @ Y2))))))))))))))) )),
% 2.66/0.72 inference(beta_eta_normalization,[],[f260])).
% 2.66/0.72 thf(f260,plain,(
% 2.66/0.72 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((reli @ sK6 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => ((!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (sK3 @ Y6)))) | (~ (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (princ_inj @ sK2 @ Y6))))))))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK2 @ Y3)))))))))))))) @ X1) = $true)) )),
% 2.66/0.72 inference(pi_clausification,[],[f237])).
% 2.66/0.72 thf(f237,plain,(
% 2.66/0.72 ((!! @ $i @ (^[Y0 : $i]: ((reli @ sK6 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => ((!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (sK3 @ Y6)))) | (~ (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (princ_inj @ sK2 @ Y6))))))))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK2 @ Y3))))))))))))))) = $true)),
% 2.66/0.72 inference(not_proxy_clausification,[],[f235])).
% 2.66/0.72 thf(f235,plain,(
% 2.66/0.72 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK6 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => ((!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (sK3 @ Y6)))) | (~ (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (princ_inj @ sK2 @ Y6))))))))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK2 @ Y3)))))))))))))))))),
% 2.66/0.72 inference(binary_proxy_clausification,[],[f233])).
% 2.66/0.72 thf(f432,plain,(
% 2.66/0.72 ~spl0_3),
% 2.66/0.72 inference(avatar_contradiction_clause,[],[f431])).
% 2.66/0.72 thf(f431,plain,(
% 2.66/0.72 $false | ~spl0_3),
% 2.66/0.72 inference(trivial_inequality_removal,[],[f430])).
% 2.66/0.72 thf(f430,plain,(
% 2.66/0.72 ($false = $true) | ~spl0_3),
% 2.66/0.72 inference(backward_demodulation,[],[f255,f427])).
% 2.66/0.72 thf(f427,plain,(
% 2.66/0.72 ((reli @ sK6 @ sK8) = $false) | ~spl0_3),
% 2.66/0.72 inference(trivial_inequality_removal,[],[f422])).
% 2.66/0.72 thf(f422,plain,(
% 2.66/0.72 ($false = $true) | ((reli @ sK6 @ sK8) = $false) | ~spl0_3),
% 2.66/0.72 inference(superposition,[],[f420,f259])).
% 2.66/0.72 thf(f259,plain,(
% 2.66/0.72 ($true = (relr @ sK8 @ sK9))),
% 2.66/0.72 inference(binary_proxy_clausification,[],[f257])).
% 2.66/0.72 thf(f420,plain,(
% 2.66/0.72 ( ! [X0 : $i] : (($false = (relr @ X0 @ sK9)) | ((reli @ sK6 @ X0) = $false)) ) | ~spl0_3),
% 2.66/0.72 inference(trivial_inequality_removal,[],[f414])).
% 2.66/0.72 thf(f414,plain,(
% 2.66/0.72 ( ! [X0 : $i] : (($false = $true) | ($false = (relr @ X0 @ sK9)) | ((reli @ sK6 @ X0) = $false)) ) | ~spl0_3),
% 2.66/0.72 inference(superposition,[],[f266,f352])).
% 2.66/0.72 thf(f352,plain,(
% 2.66/0.72 ( ! [X0 : $i,X1 : $i] : (($false = (reli @ X1 @ sK10)) | ((relr @ X0 @ X1) = $false) | ((reli @ sK6 @ X0) = $false)) ) | ~spl0_3),
% 2.66/0.72 inference(avatar_component_clause,[],[f351])).
% 2.66/0.72 thf(f266,plain,(
% 2.66/0.72 ($true = (reli @ sK9 @ sK10))),
% 2.66/0.72 inference(binary_proxy_clausification,[],[f264])).
% 2.66/0.72 thf(f255,plain,(
% 2.66/0.72 ((reli @ sK6 @ sK8) = $true)),
% 2.66/0.72 inference(binary_proxy_clausification,[],[f253])).
% 2.66/0.72 % SZS output end Proof for theBenchmark
% 2.66/0.72 % (21047)------------------------------
% 2.66/0.72 % (21047)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.66/0.72 % (21047)Termination reason: Refutation
% 2.66/0.72
% 2.66/0.72 % (21047)Memory used [KB]: 6268
% 2.66/0.72 % (21047)Time elapsed: 0.069 s
% 2.66/0.72 % (21047)Instructions burned: 109 (million)
% 2.66/0.72 % (21047)------------------------------
% 2.66/0.72 % (21047)------------------------------
% 2.66/0.72 % (20991)Success in time 0.373 s
% 2.66/0.72 % Vampire---4.8 exiting
%------------------------------------------------------------------------------