TSTP Solution File: SEU481^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU481^1 : TPTP v8.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 03:49:05 EDT 2024
% Result : Theorem 1.59s 0.56s
% Output : Refutation 1.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU481^1 : TPTP v8.2.0. Released v3.6.0.
% 0.06/0.13 % 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
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun May 19 16:03:08 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 This is a TH0_THM_EQU_NAR problem
% 0.12/0.34 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
% 0.12/0.36 % (23626)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.36 % (23625)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)
% 0.12/0.36 % (23624)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)
% 0.12/0.36 % (23622)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)
% 0.12/0.36 % (23623)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.36 % (23627)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)
% 0.12/0.36 % (23623)Instruction limit reached!
% 0.12/0.36 % (23623)------------------------------
% 0.12/0.36 % (23623)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (23623)Termination reason: Unknown
% 0.12/0.36 % (23623)Termination phase: shuffling
% 0.12/0.36
% 0.12/0.36 % (23624)Instruction limit reached!
% 0.12/0.36 % (23624)------------------------------
% 0.12/0.36 % (23624)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (23624)Termination reason: Unknown
% 0.12/0.36 % (23624)Termination phase: shuffling
% 0.12/0.36
% 0.12/0.36 % (23624)Memory used [KB]: 1023
% 0.12/0.36 % (23624)Time elapsed: 0.003 s
% 0.12/0.36 % (23624)Instructions burned: 3 (million)
% 0.12/0.36 % (23624)------------------------------
% 0.12/0.36 % (23624)------------------------------
% 0.12/0.36 % (23623)Memory used [KB]: 1023
% 0.12/0.36 % (23623)Time elapsed: 0.003 s
% 0.12/0.36 % (23623)Instructions burned: 2 (million)
% 0.12/0.36 % (23623)------------------------------
% 0.12/0.36 % (23623)------------------------------
% 0.12/0.36 % (23627)Instruction limit reached!
% 0.12/0.36 % (23627)------------------------------
% 0.12/0.36 % (23627)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (23627)Termination reason: Unknown
% 0.12/0.36 % (23627)Termination phase: shuffling
% 0.12/0.36
% 0.12/0.36 % (23627)Memory used [KB]: 1023
% 0.12/0.36 % (23627)Time elapsed: 0.003 s
% 0.12/0.36 % (23627)Instructions burned: 3 (million)
% 0.12/0.36 % (23627)------------------------------
% 0.12/0.36 % (23627)------------------------------
% 0.12/0.36 % (23621)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)
% 0.12/0.36 % (23621)Instruction limit reached!
% 0.12/0.36 % (23621)------------------------------
% 0.12/0.36 % (23621)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (23621)Termination reason: Unknown
% 0.12/0.36 % (23621)Termination phase: shuffling
% 0.12/0.36
% 0.12/0.36 % (23621)Memory used [KB]: 1023
% 0.12/0.36 % (23621)Time elapsed: 0.004 s
% 0.12/0.36 % (23621)Instructions burned: 4 (million)
% 0.12/0.36 % (23621)------------------------------
% 0.12/0.36 % (23621)------------------------------
% 0.12/0.36 % (23625)Refutation not found, incomplete strategy
% 0.12/0.36 % (23625)------------------------------
% 0.12/0.36 % (23625)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (23625)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.36
% 0.12/0.36
% 0.12/0.36 % (23625)Memory used [KB]: 5628
% 0.12/0.36 % (23625)Time elapsed: 0.009 s
% 0.12/0.36 % (23625)Instructions burned: 14 (million)
% 0.12/0.36 % (23625)------------------------------
% 0.12/0.36 % (23625)------------------------------
% 0.12/0.36 % (23626)Instruction limit reached!
% 0.12/0.36 % (23626)------------------------------
% 0.12/0.36 % (23626)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (23626)Termination reason: Unknown
% 0.12/0.36 % (23626)Termination phase: Saturation
% 0.12/0.36
% 0.12/0.36 % (23626)Memory used [KB]: 5756
% 0.12/0.36 % (23626)Time elapsed: 0.010 s
% 0.12/0.36 % (23626)Instructions burned: 18 (million)
% 0.12/0.36 % (23626)------------------------------
% 0.12/0.36 % (23626)------------------------------
% 0.12/0.37 % (23620)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.37 % (23622)Instruction limit reached!
% 0.12/0.37 % (23622)------------------------------
% 0.12/0.37 % (23622)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (23622)Termination reason: Unknown
% 0.12/0.37 % (23622)Termination phase: Saturation
% 0.12/0.37
% 0.12/0.37 % (23622)Memory used [KB]: 5756
% 0.12/0.37 % (23622)Time elapsed: 0.015 s
% 0.12/0.37 % (23622)Instructions burned: 27 (million)
% 0.12/0.37 % (23622)------------------------------
% 0.12/0.37 % (23622)------------------------------
% 0.12/0.37 % (23628)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)
% 0.12/0.37 % (23630)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)
% 0.12/0.37 % (23629)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)
% 0.12/0.37 % (23630)Instruction limit reached!
% 0.12/0.37 % (23630)------------------------------
% 0.12/0.37 % (23630)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (23630)Termination reason: Unknown
% 0.12/0.37 % (23630)Termination phase: shuffling
% 0.12/0.37
% 0.12/0.37 % (23630)Memory used [KB]: 1023
% 0.12/0.37 % (23630)Time elapsed: 0.003 s
% 0.12/0.37 % (23630)Instructions burned: 4 (million)
% 0.12/0.37 % (23630)------------------------------
% 0.12/0.37 % (23630)------------------------------
% 0.12/0.37 % (23631)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)
% 0.12/0.38 % (23629)Instruction limit reached!
% 0.12/0.38 % (23629)------------------------------
% 0.12/0.38 % (23629)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38 % (23629)Termination reason: Unknown
% 0.12/0.38 % (23629)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38 % (23629)Memory used [KB]: 5628
% 0.12/0.38 % (23629)Time elapsed: 0.008 s
% 0.12/0.38 % (23629)Instructions burned: 15 (million)
% 0.12/0.38 % (23629)------------------------------
% 0.12/0.38 % (23629)------------------------------
% 0.12/0.38 % (23633)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.12/0.38 % (23632)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.12/0.38 % (23632)Instruction limit reached!
% 0.12/0.38 % (23632)------------------------------
% 0.12/0.38 % (23632)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38 % (23632)Termination reason: Unknown
% 0.12/0.38 % (23632)Termination phase: Property scanning
% 0.12/0.38
% 0.12/0.38 % (23632)Memory used [KB]: 1023
% 0.12/0.38 % (23632)Time elapsed: 0.005 s
% 0.12/0.38 % (23632)Instructions burned: 8 (million)
% 0.12/0.38 % (23632)------------------------------
% 0.12/0.38 % (23632)------------------------------
% 0.12/0.39 % (23635)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)
% 0.18/0.39 % (23633)Instruction limit reached!
% 0.18/0.39 % (23633)------------------------------
% 0.18/0.39 % (23633)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.39 % (23633)Termination reason: Unknown
% 0.18/0.39 % (23633)Termination phase: Saturation
% 0.18/0.39
% 0.18/0.39 % (23633)Memory used [KB]: 5884
% 0.18/0.39 % (23633)Time elapsed: 0.010 s
% 0.18/0.39 % (23633)Instructions burned: 17 (million)
% 0.18/0.39 % (23633)------------------------------
% 0.18/0.39 % (23633)------------------------------
% 0.18/0.39 % (23635)Instruction limit reached!
% 0.18/0.39 % (23635)------------------------------
% 0.18/0.39 % (23635)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.39 % (23635)Termination reason: Unknown
% 0.18/0.39 % (23635)Termination phase: shuffling
% 0.18/0.39
% 0.18/0.39 % (23635)Memory used [KB]: 1023
% 0.18/0.39 % (23635)Time elapsed: 0.003 s
% 0.18/0.39 % (23635)Instructions burned: 4 (million)
% 0.18/0.39 % (23635)------------------------------
% 0.18/0.39 % (23635)------------------------------
% 0.18/0.39 % (23628)Instruction limit reached!
% 0.18/0.39 % (23628)------------------------------
% 0.18/0.39 % (23628)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.39 % (23628)Termination reason: Unknown
% 0.18/0.39 % (23628)Termination phase: Saturation
% 0.18/0.39
% 0.18/0.39 % (23628)Memory used [KB]: 5884
% 0.18/0.39 % (23628)Time elapsed: 0.018 s
% 0.18/0.39 % (23628)Instructions burned: 37 (million)
% 0.18/0.39 % (23628)------------------------------
% 0.18/0.39 % (23628)------------------------------
% 0.18/0.39 % (23634)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)
% 0.18/0.39 % (23634)Instruction limit reached!
% 0.18/0.39 % (23634)------------------------------
% 0.18/0.39 % (23634)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.39 % (23634)Termination reason: Unknown
% 0.18/0.39 % (23634)Termination phase: shuffling
% 0.18/0.39
% 0.18/0.39 % (23634)Memory used [KB]: 1023
% 0.18/0.39 % (23634)Time elapsed: 0.003 s
% 0.18/0.39 % (23634)Instructions burned: 3 (million)
% 0.18/0.39 % (23634)------------------------------
% 0.18/0.39 % (23634)------------------------------
% 0.18/0.39 % (23636)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)
% 0.18/0.40 % (23636)Instruction limit reached!
% 0.18/0.40 % (23636)------------------------------
% 0.18/0.40 % (23636)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.40 % (23636)Termination reason: Unknown
% 0.18/0.40 % (23636)Termination phase: Function definition elimination
% 0.18/0.40
% 0.18/0.40 % (23636)Memory used [KB]: 1023
% 0.18/0.40 % (23636)Time elapsed: 0.005 s
% 0.18/0.40 % (23636)Instructions burned: 8 (million)
% 0.18/0.40 % (23636)------------------------------
% 0.18/0.40 % (23636)------------------------------
% 0.18/0.40 % (23637)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)
% 0.18/0.40 % (23639)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)
% 0.18/0.40 % (23637)Instruction limit reached!
% 0.18/0.40 % (23637)------------------------------
% 0.18/0.40 % (23637)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.40 % (23637)Termination reason: Unknown
% 0.18/0.40 % (23637)Termination phase: shuffling
% 0.18/0.40
% 0.18/0.40 % (23637)Memory used [KB]: 1023
% 0.18/0.40 % (23637)Time elapsed: 0.003 s
% 0.18/0.40 % (23637)Instructions burned: 3 (million)
% 0.18/0.40 % (23637)------------------------------
% 0.18/0.40 % (23637)------------------------------
% 0.18/0.40 % (23640)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.18/0.40 % (23638)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.18/0.40 % (23638)Instruction limit reached!
% 0.18/0.40 % (23638)------------------------------
% 0.18/0.40 % (23638)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.40 % (23638)Termination reason: Unknown
% 0.18/0.40 % (23638)Termination phase: Property scanning
% 0.18/0.40
% 0.18/0.40 % (23638)Memory used [KB]: 1023
% 0.18/0.40 % (23638)Time elapsed: 0.004 s
% 0.18/0.40 % (23638)Instructions burned: 6 (million)
% 0.18/0.40 % (23638)------------------------------
% 0.18/0.40 % (23638)------------------------------
% 0.18/0.41 % (23641)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.41 % (23641)Instruction limit reached!
% 0.18/0.41 % (23641)------------------------------
% 0.18/0.41 % (23641)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.41 % (23639)Instruction limit reached!
% 0.18/0.41 % (23639)------------------------------
% 0.18/0.41 % (23639)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.41 % (23639)Termination reason: Unknown
% 0.18/0.41 % (23639)Termination phase: Saturation
% 0.18/0.41
% 0.18/0.41 % (23639)Memory used [KB]: 5628
% 0.18/0.41 % (23639)Time elapsed: 0.010 s
% 0.18/0.41 % (23639)Instructions burned: 18 (million)
% 0.18/0.41 % (23639)------------------------------
% 0.18/0.41 % (23639)------------------------------
% 0.18/0.41 % (23641)Termination reason: Unknown
% 0.18/0.41 % (23641)Termination phase: Property scanning
% 0.18/0.41
% 0.18/0.41 % (23641)Memory used [KB]: 1023
% 0.18/0.41 % (23641)Time elapsed: 0.004 s
% 0.18/0.41 % (23641)Instructions burned: 6 (million)
% 0.18/0.41 % (23641)------------------------------
% 0.18/0.41 % (23641)------------------------------
% 0.18/0.41 % (23642)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)
% 0.18/0.42 % (23643)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)
% 0.18/0.42 % (23642)Refutation not found, incomplete strategy
% 0.18/0.42 % (23642)------------------------------
% 0.18/0.42 % (23642)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.42 % (23642)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.42
% 0.18/0.42
% 0.18/0.42 % (23642)Memory used [KB]: 5628
% 0.18/0.42 % (23642)Time elapsed: 0.006 s
% 0.18/0.42 % (23642)Instructions burned: 10 (million)
% 0.18/0.42 % (23642)------------------------------
% 0.18/0.42 % (23642)------------------------------
% 0.18/0.42 % (23644)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.18/0.42 % (23646)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.18/0.42 % (23644)Instruction limit reached!
% 0.18/0.42 % (23644)------------------------------
% 0.18/0.42 % (23644)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.42 % (23644)Termination reason: Unknown
% 0.18/0.42 % (23644)Termination phase: Naming
% 0.18/0.42
% 0.18/0.42 % (23644)Memory used [KB]: 1023
% 0.18/0.42 % (23644)Time elapsed: 0.004 s
% 0.18/0.42 % (23644)Instructions burned: 6 (million)
% 0.18/0.42 % (23644)------------------------------
% 0.18/0.42 % (23644)------------------------------
% 0.18/0.43 % (23643)Instruction limit reached!
% 0.18/0.43 % (23643)------------------------------
% 0.18/0.43 % (23643)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.43 % (23643)Termination reason: Unknown
% 0.18/0.43 % (23643)Termination phase: Saturation
% 0.18/0.43
% 0.18/0.43 % (23643)Memory used [KB]: 5628
% 0.18/0.43 % (23643)Time elapsed: 0.012 s
% 0.18/0.43 % (23643)Instructions burned: 21 (million)
% 0.18/0.43 % (23643)------------------------------
% 0.18/0.43 % (23643)------------------------------
% 0.18/0.43 % (23647)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)
% 0.18/0.44 % (23648)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)
% 0.18/0.44 % (23645)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)
% 0.18/0.44 % (23645)Instruction limit reached!
% 0.18/0.44 % (23645)------------------------------
% 0.18/0.44 % (23645)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.44 % (23645)Termination reason: Unknown
% 0.18/0.44 % (23645)Termination phase: Property scanning
% 0.18/0.44
% 0.18/0.44 % (23645)Memory used [KB]: 1023
% 0.18/0.44 % (23645)Time elapsed: 0.005 s
% 0.18/0.44 % (23645)Instructions burned: 7 (million)
% 0.18/0.44 % (23645)------------------------------
% 0.18/0.44 % (23645)------------------------------
% 0.18/0.44 % (23648)Instruction limit reached!
% 0.18/0.44 % (23648)------------------------------
% 0.18/0.44 % (23648)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.44 % (23648)Termination reason: Unknown
% 0.18/0.44 % (23648)Termination phase: Saturation
% 0.18/0.44
% 0.18/0.44 % (23648)Memory used [KB]: 5628
% 0.18/0.44 % (23648)Time elapsed: 0.010 s
% 0.18/0.44 % (23648)Instructions burned: 19 (million)
% 0.18/0.44 % (23648)------------------------------
% 0.18/0.44 % (23648)------------------------------
% 0.18/0.45 % (23649)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)
% 0.18/0.45 % (23620)Instruction limit reached!
% 0.18/0.45 % (23620)------------------------------
% 0.18/0.45 % (23620)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.45 % (23620)Termination reason: Unknown
% 0.18/0.45 % (23620)Termination phase: Saturation
% 0.18/0.45
% 0.18/0.45 % (23620)Memory used [KB]: 6396
% 0.18/0.45 % (23620)Time elapsed: 0.089 s
% 0.18/0.45 % (23620)Instructions burned: 183 (million)
% 0.18/0.45 % (23620)------------------------------
% 0.18/0.45 % (23620)------------------------------
% 0.18/0.45 % (23650)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.18/0.46 % (23650)Instruction limit reached!
% 0.18/0.46 % (23650)------------------------------
% 0.18/0.46 % (23650)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.46 % (23650)Termination reason: Unknown
% 0.18/0.46 % (23650)Termination phase: Saturation
% 0.18/0.46
% 0.18/0.46 % (23650)Memory used [KB]: 5628
% 0.18/0.46 % (23650)Time elapsed: 0.007 s
% 0.18/0.46 % (23650)Instructions burned: 17 (million)
% 0.18/0.46 % (23650)------------------------------
% 0.18/0.46 % (23650)------------------------------
% 0.18/0.46 % (23651)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.46 % (23651)Instruction limit reached!
% 0.18/0.46 % (23651)------------------------------
% 0.18/0.46 % (23651)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.46 % (23651)Termination reason: Unknown
% 0.18/0.46 % (23651)Termination phase: shuffling
% 0.18/0.46
% 0.18/0.46 % (23651)Memory used [KB]: 1023
% 0.18/0.46 % (23651)Time elapsed: 0.002 s
% 0.18/0.46 % (23651)Instructions burned: 4 (million)
% 0.18/0.46 % (23651)------------------------------
% 0.18/0.46 % (23651)------------------------------
% 0.18/0.47 % (23653)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 (2998ds/127Mi)
% 0.18/0.47 % (23652)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.18/0.47 % (23654)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)
% 0.18/0.47 % (23652)Refutation not found, incomplete strategy
% 0.18/0.47 % (23652)------------------------------
% 0.18/0.47 % (23652)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.47 % (23652)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.47
% 0.18/0.47
% 0.18/0.47 % (23652)Memory used [KB]: 5628
% 0.18/0.47 % (23652)Time elapsed: 0.008 s
% 0.18/0.47 % (23652)Instructions burned: 14 (million)
% 0.18/0.47 % (23652)------------------------------
% 0.18/0.47 % (23652)------------------------------
% 0.18/0.49 % (23655)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)
% 0.18/0.49 % (23655)Instruction limit reached!
% 0.18/0.49 % (23655)------------------------------
% 0.18/0.49 % (23655)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.49 % (23655)Termination reason: Unknown
% 0.18/0.49 % (23655)Termination phase: Property scanning
% 0.18/0.49
% 0.18/0.49 % (23655)Memory used [KB]: 1023
% 0.18/0.49 % (23655)Time elapsed: 0.002 s
% 0.18/0.49 % (23655)Instructions burned: 4 (million)
% 0.18/0.49 % (23655)------------------------------
% 0.18/0.49 % (23655)------------------------------
% 0.18/0.50 % (23656)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)
% 0.18/0.51 % (23656)Instruction limit reached!
% 0.18/0.51 % (23656)------------------------------
% 0.18/0.51 % (23656)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.51 % (23656)Termination reason: Unknown
% 0.18/0.51 % (23656)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (23656)Memory used [KB]: 5756
% 0.18/0.51 % (23656)Time elapsed: 0.008 s
% 0.18/0.51 % (23656)Instructions burned: 21 (million)
% 0.18/0.51 % (23656)------------------------------
% 0.18/0.51 % (23656)------------------------------
% 0.18/0.51 % (23653)Instruction limit reached!
% 0.18/0.51 % (23653)------------------------------
% 0.18/0.51 % (23653)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.51 % (23653)Termination reason: Unknown
% 0.18/0.51 % (23653)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (23653)Memory used [KB]: 6268
% 0.18/0.51 % (23653)Time elapsed: 0.043 s
% 0.18/0.51 % (23653)Instructions burned: 128 (million)
% 0.18/0.51 % (23653)------------------------------
% 0.18/0.51 % (23653)------------------------------
% 0.18/0.52 % (23657)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)
% 0.18/0.52 % (23658)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)
% 0.18/0.53 % (23654)Instruction limit reached!
% 0.18/0.53 % (23654)------------------------------
% 0.18/0.53 % (23654)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.53 % (23654)Termination reason: Unknown
% 0.18/0.53 % (23654)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (23654)Memory used [KB]: 5884
% 0.18/0.53 % (23654)Time elapsed: 0.072 s
% 0.18/0.53 % (23654)Instructions burned: 101 (million)
% 0.18/0.53 % (23654)------------------------------
% 0.18/0.53 % (23654)------------------------------
% 1.48/0.54 % (23657)Instruction limit reached!
% 1.48/0.54 % (23657)------------------------------
% 1.48/0.54 % (23657)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.48/0.54 % (23657)Termination reason: Unknown
% 1.48/0.54 % (23657)Termination phase: Saturation
% 1.48/0.54
% 1.48/0.54 % (23657)Memory used [KB]: 6268
% 1.48/0.54 % (23657)Time elapsed: 0.027 s
% 1.48/0.54 % (23657)Instructions burned: 87 (million)
% 1.48/0.54 % (23657)------------------------------
% 1.48/0.54 % (23657)------------------------------
% 1.48/0.55 % (23659)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)
% 1.59/0.55 % (23660)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)
% 1.59/0.55 % (23658)Instruction limit reached!
% 1.59/0.55 % (23658)------------------------------
% 1.59/0.55 % (23658)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.59/0.55 % (23658)Termination reason: Unknown
% 1.59/0.55 % (23658)Termination phase: Saturation
% 1.59/0.55
% 1.59/0.55 % (23658)Memory used [KB]: 5884
% 1.59/0.55 % (23658)Time elapsed: 0.037 s
% 1.59/0.55 % (23658)Instructions burned: 109 (million)
% 1.59/0.55 % (23658)------------------------------
% 1.59/0.55 % (23658)------------------------------
% 1.59/0.56 % (23649)First to succeed.
% 1.59/0.56 % (23649)Refutation found. Thanks to Tanya!
% 1.59/0.56 % SZS status Theorem for theBenchmark
% 1.59/0.56 % SZS output start Proof for theBenchmark
% 1.59/0.56 thf(func_def_0, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o).
% 1.59/0.56 thf(func_def_2, type, inv: ($i > $i > $o) > $i > $i > $o).
% 1.59/0.56 thf(func_def_3, type, idem: (($i > $i > $o) > $i > $i > $o) > $o).
% 1.59/0.56 thf(func_def_4, type, infl: (($i > $i > $o) > $i > $i > $o) > $o).
% 1.59/0.56 thf(func_def_5, type, mono: (($i > $i > $o) > $i > $i > $o) > $o).
% 1.59/0.56 thf(func_def_6, type, refl: ($i > $i > $o) > $o).
% 1.59/0.56 thf(func_def_7, type, irrefl: ($i > $i > $o) > $o).
% 1.59/0.56 thf(func_def_8, type, rc: ($i > $i > $o) > $i > $i > $o).
% 1.59/0.56 thf(func_def_9, type, symm: ($i > $i > $o) > $o).
% 1.59/0.56 thf(func_def_10, type, antisymm: ($i > $i > $o) > $o).
% 1.59/0.56 thf(func_def_11, type, asymm: ($i > $i > $o) > $o).
% 1.59/0.56 thf(func_def_12, type, sc: ($i > $i > $o) > $i > $i > $o).
% 1.59/0.56 thf(func_def_13, type, trans: ($i > $i > $o) > $o).
% 1.59/0.56 thf(func_def_14, type, tc: ($i > $i > $o) > $i > $i > $o).
% 1.59/0.56 thf(func_def_15, type, trc: ($i > $i > $o) > $i > $i > $o).
% 1.59/0.56 thf(func_def_16, type, trsc: ($i > $i > $o) > $i > $i > $o).
% 1.59/0.56 thf(func_def_17, type, po: ($i > $i > $o) > $o).
% 1.59/0.56 thf(func_def_18, type, so: ($i > $i > $o) > $o).
% 1.59/0.56 thf(func_def_19, type, total: ($i > $i > $o) > $o).
% 1.59/0.56 thf(func_def_20, type, term: ($i > $i > $o) > $o).
% 1.59/0.56 thf(func_def_21, type, ind: ($i > $i > $o) > $o).
% 1.59/0.56 thf(func_def_22, type, innf: ($i > $i > $o) > $i > $o).
% 1.59/0.56 thf(func_def_23, type, nfof: ($i > $i > $o) > $i > $i > $o).
% 1.59/0.56 thf(func_def_24, type, norm: ($i > $i > $o) > $o).
% 1.59/0.56 thf(func_def_25, type, join: ($i > $i > $o) > $i > $i > $o).
% 1.59/0.56 thf(func_def_26, type, lconfl: ($i > $i > $o) > $o).
% 1.59/0.56 thf(func_def_27, type, sconfl: ($i > $i > $o) > $o).
% 1.59/0.56 thf(func_def_28, type, confl: ($i > $i > $o) > $o).
% 1.59/0.56 thf(func_def_29, type, cr: ($i > $i > $o) > $o).
% 1.59/0.56 thf(func_def_44, type, sK0: $i > $i > $o).
% 1.59/0.56 thf(func_def_46, type, sK2: ($i > $o) > $i).
% 1.59/0.56 thf(func_def_47, type, sK3: $i > ($i > $o) > $i > $i > $o).
% 1.59/0.56 thf(func_def_48, type, sK4: $i > $o).
% 1.59/0.56 thf(func_def_50, type, sK6: $i > $i).
% 1.59/0.56 thf(func_def_51, type, ph7: !>[X0: $tType]:(X0)).
% 1.59/0.56 thf(f1047,plain,(
% 1.59/0.56 $false),
% 1.59/0.56 inference(avatar_sat_refutation,[],[f1037,f1043,f1046])).
% 1.59/0.56 thf(f1046,plain,(
% 1.59/0.56 ~spl1_1),
% 1.59/0.56 inference(avatar_contradiction_clause,[],[f1045])).
% 1.59/0.56 thf(f1045,plain,(
% 1.59/0.56 $false | ~spl1_1),
% 1.59/0.56 inference(trivial_inequality_removal,[],[f1044])).
% 1.59/0.56 thf(f1044,plain,(
% 1.59/0.56 ($true = $false) | ~spl1_1),
% 1.59/0.56 inference(backward_demodulation,[],[f178,f1031])).
% 1.59/0.56 thf(f1031,plain,(
% 1.59/0.56 ( ! [X0 : $i] : (((sK4 @ X0) = $false)) ) | ~spl1_1),
% 1.59/0.56 inference(avatar_component_clause,[],[f1030])).
% 1.59/0.56 thf(f1030,plain,(
% 1.59/0.56 spl1_1 <=> ! [X0] : ((sK4 @ X0) = $false)),
% 1.59/0.56 introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
% 1.59/0.56 thf(f178,plain,(
% 1.59/0.56 ((sK4 @ sK5) = $true)),
% 1.59/0.56 inference(sigma_clausification,[],[f177])).
% 1.59/0.56 thf(f177,plain,(
% 1.59/0.56 ((?? @ $i @ sK4) = $true)),
% 1.59/0.56 inference(binary_proxy_clausification,[],[f175])).
% 1.59/0.56 thf(f175,plain,(
% 1.59/0.56 (((?? @ $i @ sK4) => (?? @ $i @ (^[Y0 : $i]: ((sK4 @ Y0) & (!! @ $i @ (^[Y1 : $i]: ((sK4 @ Y1) => (~ (sK0 @ Y0 @ Y1))))))))) = $false)),
% 1.59/0.56 inference(beta_eta_normalization,[],[f174])).
% 1.59/0.56 thf(f174,plain,(
% 1.59/0.56 (((^[Y0 : $i > $o]: ((?? @ $i @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) & (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (~ (sK0 @ Y1 @ Y2)))))))))) @ sK4) = $false)),
% 1.59/0.56 inference(sigma_clausification,[],[f173])).
% 1.59/0.56 thf(f173,plain,(
% 1.59/0.56 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((?? @ $i @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) & (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (~ (sK0 @ Y1 @ Y2))))))))))) != $true)),
% 1.59/0.56 inference(beta_eta_normalization,[],[f140])).
% 1.59/0.56 thf(f140,plain,(
% 1.59/0.56 (((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((?? @ $i @ (^[Y2 : $i]: (Y1 @ Y2))) => (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (~ (Y0 @ Y2 @ Y3)))))))))))) @ sK0) != $true)),
% 1.59/0.56 inference(definition_unfolding,[],[f114,f109])).
% 1.59/0.56 thf(f109,plain,(
% 1.59/0.56 (term = (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((?? @ $i @ (^[Y2 : $i]: (Y1 @ Y2))) => (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (~ (Y0 @ Y2 @ Y3)))))))))))))),
% 1.59/0.56 inference(cnf_transformation,[],[f36])).
% 1.59/0.56 thf(f36,plain,(
% 1.59/0.56 (term = (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((?? @ $i @ (^[Y2 : $i]: (Y1 @ Y2))) => (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (~ (Y0 @ Y2 @ Y3)))))))))))))),
% 1.59/0.56 inference(fool_elimination,[],[f35])).
% 1.59/0.56 thf(f35,plain,(
% 1.59/0.56 (term = (^[X0 : $i > $i > $o] : (! [X1 : $i > $o] : (? [X2] : (X1 @ X2) => ? [X3] : (! [X4] : ((X1 @ X4) => ~(X0 @ X3 @ X4)) & (X1 @ X3))))))),
% 1.59/0.56 inference(rectify,[],[f20])).
% 1.59/0.56 thf(f20,axiom,(
% 1.59/0.56 (term = (^[X0 : $i > $i > $o] : (! [X6 : $i > $o] : (? [X2] : (X6 @ X2) => ? [X2] : (! [X3] : ((X6 @ X3) => ~(X0 @ X2 @ X3)) & (X6 @ X2))))))),
% 1.59/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p',terminating)).
% 1.59/0.56 thf(f114,plain,(
% 1.59/0.56 ((term @ sK0) != $true)),
% 1.59/0.56 inference(cnf_transformation,[],[f93])).
% 1.59/0.56 thf(f93,plain,(
% 1.59/0.56 ((term @ sK0) != $true) & ((ind @ sK0) = $true)),
% 1.59/0.56 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f91,f92])).
% 1.59/0.56 thf(f92,plain,(
% 1.59/0.56 ? [X0 : $i > $i > $o] : (((term @ X0) != $true) & ((ind @ X0) = $true)) => (((term @ sK0) != $true) & ((ind @ sK0) = $true))),
% 1.59/0.56 introduced(choice_axiom,[])).
% 1.59/0.56 thf(f91,plain,(
% 1.59/0.56 ? [X0 : $i > $i > $o] : (((term @ X0) != $true) & ((ind @ X0) = $true))),
% 1.59/0.56 inference(ennf_transformation,[],[f81])).
% 1.59/0.56 thf(f81,plain,(
% 1.59/0.56 ~! [X0 : $i > $i > $o] : (((ind @ X0) = $true) => ((term @ X0) = $true))),
% 1.59/0.56 inference(fool_elimination,[],[f80])).
% 1.59/0.56 thf(f80,plain,(
% 1.59/0.56 ~! [X0 : $i > $i > $o] : ((ind @ X0) => (term @ X0))),
% 1.59/0.56 inference(rectify,[],[f31])).
% 1.59/0.56 thf(f31,negated_conjecture,(
% 1.59/0.56 ~! [X0 : $i > $i > $o] : ((ind @ X0) => (term @ X0))),
% 1.59/0.56 inference(negated_conjecture,[],[f30])).
% 1.59/0.56 thf(f30,conjecture,(
% 1.59/0.56 ! [X0 : $i > $i > $o] : ((ind @ X0) => (term @ X0))),
% 1.59/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p',induction_implies_termination)).
% 1.59/0.56 thf(f1043,plain,(
% 1.59/0.56 spl1_1 | ~spl1_2),
% 1.59/0.56 inference(avatar_split_clause,[],[f1040,f1033,f1030])).
% 1.59/0.56 thf(f1033,plain,(
% 1.59/0.56 spl1_2 <=> ((sK4 @ (sK2 @ (^[Y0 : $i]: (~ (sK4 @ Y0))))) = $false)),
% 1.59/0.56 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
% 1.59/0.56 thf(f1040,plain,(
% 1.59/0.56 ( ! [X0 : $i] : (((sK4 @ X0) = $false)) ) | ~spl1_2),
% 1.59/0.56 inference(trivial_inequality_removal,[],[f1039])).
% 1.59/0.56 thf(f1039,plain,(
% 1.59/0.56 ( ! [X0 : $i] : (($true = $false) | ((sK4 @ X0) = $false)) ) | ~spl1_2),
% 1.59/0.56 inference(superposition,[],[f196,f1035])).
% 1.59/0.56 thf(f1035,plain,(
% 1.59/0.56 ((sK4 @ (sK2 @ (^[Y0 : $i]: (~ (sK4 @ Y0))))) = $false) | ~spl1_2),
% 1.59/0.56 inference(avatar_component_clause,[],[f1033])).
% 1.59/0.56 thf(f196,plain,(
% 1.59/0.56 ( ! [X2 : $i,X5 : $i > $o] : (((X5 @ (sK2 @ (^[Y0 : $i]: (~ (X5 @ Y0))))) = $true) | ($false = (X5 @ X2))) )),
% 1.59/0.56 inference(not_proxy_clausification,[],[f195])).
% 1.59/0.56 thf(f195,plain,(
% 1.59/0.56 ( ! [X2 : $i,X5 : $i > $o] : (((~ (X5 @ (sK2 @ (^[Y0 : $i]: (~ (X5 @ Y0)))))) = $false) | ($false = (X5 @ X2))) )),
% 1.59/0.56 inference(not_proxy_clausification,[],[f194])).
% 1.59/0.56 thf(f194,plain,(
% 1.59/0.56 ( ! [X2 : $i,X5 : $i > $o] : (((~ (X5 @ X2)) = $true) | ((~ (X5 @ (sK2 @ (^[Y0 : $i]: (~ (X5 @ Y0)))))) = $false)) )),
% 1.59/0.56 inference(beta_eta_normalization,[],[f190])).
% 1.59/0.56 thf(f190,plain,(
% 1.59/0.56 ( ! [X2 : $i,X5 : $i > $o] : (($true = ((^[Y0 : $i]: (~ (X5 @ Y0))) @ X2)) | (((^[Y0 : $i]: (~ (X5 @ Y0))) @ (sK2 @ (^[Y0 : $i]: (~ (X5 @ Y0))))) = $false)) )),
% 1.59/0.56 inference(primitive_instantiation,[],[f149])).
% 1.59/0.56 thf(f149,plain,(
% 1.59/0.56 ( ! [X2 : $i,X1 : $i > $o] : (((X1 @ (sK2 @ X1)) = $false) | ((X1 @ X2) = $true)) )),
% 1.59/0.56 inference(binary_proxy_clausification,[],[f148])).
% 1.59/0.56 thf(f148,plain,(
% 1.59/0.56 ( ! [X2 : $i,X1 : $i > $o] : (((X1 @ X2) = $true) | (((!! @ $i @ (^[Y0 : $i]: ((!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((sK0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2)))))) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y4 @ Y3) & (Y1 @ Y2 @ Y4)) => (Y1 @ Y2 @ Y3))))))))) => (Y1 @ (sK2 @ X1) @ Y0)))) => (X1 @ Y0)))) => (X1 @ (sK2 @ X1))) = $false)) )),
% 1.59/0.56 inference(beta_eta_normalization,[],[f147])).
% 1.59/0.56 thf(f147,plain,(
% 1.59/0.56 ( ! [X2 : $i,X1 : $i > $o] : (((X1 @ X2) = $true) | (((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK0 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3)))))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y5 @ Y4) & (Y2 @ Y3 @ Y5)) => (Y2 @ Y3 @ Y4))))))))) => (Y2 @ Y0 @ Y1)))) => (X1 @ Y1)))) => (X1 @ Y0))) @ (sK2 @ X1)) = $false)) )),
% 1.59/0.56 inference(sigma_clausification,[],[f146])).
% 1.59/0.56 thf(f146,plain,(
% 1.59/0.56 ( ! [X2 : $i,X1 : $i > $o] : (((X1 @ X2) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK0 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3)))))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y5 @ Y4) & (Y2 @ Y3 @ Y5)) => (Y2 @ Y3 @ Y4))))))))) => (Y2 @ Y0 @ Y1)))) => (X1 @ Y1)))) => (X1 @ Y0)))) = $false)) )),
% 1.59/0.56 inference(pi_clausification,[],[f145])).
% 1.59/0.56 thf(f145,plain,(
% 1.59/0.56 ( ! [X1 : $i > $o] : (((!! @ $i @ X1) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK0 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3)))))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y5 @ Y4) & (Y2 @ Y3 @ Y5)) => (Y2 @ Y3 @ Y4))))))))) => (Y2 @ Y0 @ Y1)))) => (X1 @ Y1)))) => (X1 @ Y0)))) = $false)) )),
% 1.59/0.56 inference(binary_proxy_clausification,[],[f144])).
% 1.59/0.56 thf(f144,plain,(
% 1.59/0.56 ( ! [X1 : $i > $o] : ((((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK0 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3)))))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y5 @ Y4) & (Y2 @ Y3 @ Y5)) => (Y2 @ Y3 @ Y4))))))))) => (Y2 @ Y0 @ Y1)))) => (X1 @ Y1)))) => (X1 @ Y0)))) => (!! @ $i @ X1)) = $true)) )),
% 1.59/0.56 inference(beta_eta_normalization,[],[f143])).
% 1.59/0.56 thf(f143,plain,(
% 1.59/0.56 ( ! [X1 : $i > $o] : (($true = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((sK0 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y6 @ Y5) & (Y3 @ Y4 @ Y6)) => (Y3 @ Y4 @ Y5))))))))) => (Y3 @ Y1 @ Y2)))) => (Y0 @ Y2)))) => (Y0 @ Y1)))) => (!! @ $i @ Y0))) @ X1))) )),
% 1.59/0.56 inference(pi_clausification,[],[f142])).
% 1.59/0.56 thf(f142,plain,(
% 1.59/0.56 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((sK0 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y6 @ Y5) & (Y3 @ Y4 @ Y6)) => (Y3 @ Y4 @ Y5))))))))) => (Y3 @ Y1 @ Y2)))) => (Y0 @ Y2)))) => (Y0 @ Y1)))) => (!! @ $i @ Y0)))) = $true)),
% 1.59/0.56 inference(beta_eta_normalization,[],[f141])).
% 1.59/0.56 thf(f141,plain,(
% 1.59/0.56 (((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: ((((^[Y8 : $i > $i > $o]: ((^[Y9 : $i > $i > $o]: (!! @ $i @ (^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: ((Y8 @ Y11 @ Y10) => (Y9 @ Y11 @ Y10))))))))) @ Y4 @ Y7) & ((^[Y8 : $i > $i > $o]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: (((Y8 @ Y11 @ Y10) & (Y8 @ Y9 @ Y11)) => (Y8 @ Y9 @ Y10))))))))) @ Y7)) => (Y7 @ Y5 @ Y6))))))))) @ Y0 @ Y2 @ Y3) => (Y1 @ Y3)))) => (Y1 @ Y2)))) => (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2))))))) @ sK0) = $true)),
% 1.59/0.56 inference(definition_unfolding,[],[f113,f132])).
% 1.59/0.56 thf(f132,plain,(
% 1.59/0.56 (ind = (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: ((((^[Y8 : $i > $i > $o]: ((^[Y9 : $i > $i > $o]: (!! @ $i @ (^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: ((Y8 @ Y11 @ Y10) => (Y9 @ Y11 @ Y10))))))))) @ Y4 @ Y7) & ((^[Y8 : $i > $i > $o]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: (((Y8 @ Y11 @ Y10) & (Y8 @ Y9 @ Y11)) => (Y8 @ Y9 @ Y10))))))))) @ Y7)) => (Y7 @ Y5 @ Y6))))))))) @ Y0 @ Y2 @ Y3) => (Y1 @ Y3)))) => (Y1 @ Y2)))) => (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2))))))))),
% 1.59/0.56 inference(definition_unfolding,[],[f117,f127])).
% 1.59/0.56 thf(f127,plain,(
% 1.59/0.56 (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: ((((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $i > $o]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y7 @ Y6) => (Y5 @ Y7 @ Y6))))))))) @ Y0 @ Y3) & ((^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y7 @ Y6) & (Y4 @ Y5 @ Y7)) => (Y4 @ Y5 @ Y6))))))))) @ Y3)) => (Y3 @ Y1 @ Y2))))))))))),
% 1.59/0.56 inference(definition_unfolding,[],[f101,f104,f110])).
% 1.59/0.56 thf(f110,plain,(
% 1.59/0.56 (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y1 @ Y2))))))))))),
% 1.59/0.56 inference(cnf_transformation,[],[f86])).
% 1.59/0.56 thf(f86,plain,(
% 1.59/0.56 (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y1 @ Y2))))))))))),
% 1.59/0.56 inference(fool_elimination,[],[f85])).
% 1.59/0.56 thf(f85,plain,(
% 1.59/0.56 ((^[X0 : $i > $i > $o] : (! [X1,X2,X3] : (((X0 @ X3 @ X1) & (X0 @ X1 @ X2)) => (X0 @ X3 @ X2)))) = trans)),
% 1.59/0.56 inference(rectify,[],[f13])).
% 1.59/0.56 thf(f13,axiom,(
% 1.59/0.56 ((^[X0 : $i > $i > $o] : (! [X3,X5,X2] : (((X0 @ X2 @ X3) & (X0 @ X3 @ X5)) => (X0 @ X2 @ X5)))) = trans)),
% 1.59/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive)).
% 1.59/0.56 thf(f104,plain,(
% 1.59/0.56 (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))))))),
% 1.59/0.56 inference(cnf_transformation,[],[f42])).
% 1.59/0.56 thf(f42,plain,(
% 1.59/0.56 (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))))))),
% 1.59/0.56 inference(fool_elimination,[],[f41])).
% 1.59/0.56 thf(f41,plain,(
% 1.59/0.56 ((^[X0 : $i > $i > $o, X1 : $i > $i > $o] : (! [X2,X3] : ((X0 @ X2 @ X3) => (X1 @ X2 @ X3)))) = subrel)),
% 1.59/0.56 inference(rectify,[],[f1])).
% 1.59/0.56 thf(f1,axiom,(
% 1.59/0.56 ((^[X0 : $i > $i > $o, X1 : $i > $i > $o] : (! [X2,X3] : ((X0 @ X2 @ X3) => (X1 @ X2 @ X3)))) = subrel)),
% 1.59/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subrel)).
% 1.59/0.56 thf(f101,plain,(
% 1.59/0.56 (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((subrel @ Y0 @ Y3) & (trans @ Y3)) => (Y3 @ Y1 @ Y2))))))))))),
% 1.59/0.56 inference(cnf_transformation,[],[f46])).
% 1.59/0.56 thf(f46,plain,(
% 1.59/0.56 (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((subrel @ Y0 @ Y3) & (trans @ Y3)) => (Y3 @ Y1 @ Y2))))))))))),
% 1.59/0.56 inference(fool_elimination,[],[f45])).
% 1.59/0.56 thf(f45,plain,(
% 1.59/0.56 ((^[X0 : $i > $i > $o, X1 : $i, X2 : $i] : (! [X3 : $i > $i > $o] : (((trans @ X3) & (subrel @ X0 @ X3)) => (X3 @ X1 @ X2)))) = tc)),
% 1.59/0.56 inference(rectify,[],[f14])).
% 1.59/0.56 thf(f14,axiom,(
% 1.59/0.56 ((^[X0 : $i > $i > $o, X2 : $i, X3 : $i] : (! [X1 : $i > $i > $o] : (((trans @ X1) & (subrel @ X0 @ X1)) => (X1 @ X2 @ X3)))) = tc)),
% 1.59/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive_closure)).
% 1.59/0.56 thf(f117,plain,(
% 1.59/0.56 (ind = (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((tc @ Y0 @ Y2 @ Y3) => (Y1 @ Y3)))) => (Y1 @ Y2)))) => (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2))))))))),
% 1.59/0.56 inference(cnf_transformation,[],[f67])).
% 1.59/0.56 thf(f67,plain,(
% 1.59/0.56 (ind = (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((tc @ Y0 @ Y2 @ Y3) => (Y1 @ Y3)))) => (Y1 @ Y2)))) => (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2))))))))),
% 1.59/0.56 inference(fool_elimination,[],[f66])).
% 1.59/0.56 thf(f66,plain,(
% 1.59/0.56 (ind = (^[X0 : $i > $i > $o] : (! [X1 : $i > $o] : (! [X2] : (! [X3] : ((tc @ X0 @ X2 @ X3) => (X1 @ X3)) => (X1 @ X2)) => ! [X4] : (X1 @ X4)))))),
% 1.59/0.56 inference(rectify,[],[f21])).
% 1.59/0.56 thf(f21,axiom,(
% 1.59/0.56 (ind = (^[X0 : $i > $i > $o] : (! [X7 : $i > $o] : (! [X2] : (! [X3] : ((tc @ X0 @ X2 @ X3) => (X7 @ X3)) => (X7 @ X2)) => ! [X2] : (X7 @ X2)))))),
% 1.59/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satisfying_the_induction_principle)).
% 1.59/0.56 thf(f113,plain,(
% 1.59/0.56 ((ind @ sK0) = $true)),
% 1.59/0.56 inference(cnf_transformation,[],[f93])).
% 1.59/0.56 thf(f1037,plain,(
% 1.59/0.56 spl1_2 | spl1_1 | spl1_1),
% 1.59/0.56 inference(avatar_split_clause,[],[f1001,f1030,f1030,f1033])).
% 1.59/0.56 thf(f1001,plain,(
% 1.59/0.56 ( ! [X0 : $i,X1 : $i] : (((sK4 @ (sK2 @ (^[Y0 : $i]: (~ (sK4 @ Y0))))) = $false) | ((sK4 @ X0) = $false) | ((sK4 @ X1) = $false)) )),
% 1.59/0.56 inference(trivial_inequality_removal,[],[f1000])).
% 1.59/0.56 thf(f1000,plain,(
% 1.59/0.56 ( ! [X0 : $i,X1 : $i] : (((sK4 @ (sK2 @ (^[Y0 : $i]: (~ (sK4 @ Y0))))) = $false) | ((sK4 @ X0) = $false) | ((sK4 @ X1) = $false) | ($true = $false)) )),
% 1.59/0.56 inference(duplicate_literal_removal,[],[f994])).
% 1.59/0.56 thf(f994,plain,(
% 1.59/0.56 ( ! [X0 : $i,X1 : $i] : (($true = $false) | ((sK4 @ X1) = $false) | ((sK4 @ (sK2 @ (^[Y0 : $i]: (~ (sK4 @ Y0))))) = $false) | ((sK4 @ X0) = $false) | ((sK4 @ (sK2 @ (^[Y0 : $i]: (~ (sK4 @ Y0))))) = $false)) )),
% 1.59/0.56 inference(superposition,[],[f185,f317])).
% 1.59/0.56 thf(f317,plain,(
% 1.59/0.56 ( ! [X2 : $i,X1 : $i,X5 : $i > $o] : (((X5 @ (sK6 @ (sK2 @ (^[Y0 : $i]: (~ (X5 @ Y0)))))) = $false) | ($false = (X5 @ X2)) | ((X5 @ X1) = $false) | ((sK4 @ (sK2 @ (^[Y0 : $i]: (~ (X5 @ Y0))))) = $false)) )),
% 1.59/0.56 inference(not_proxy_clausification,[],[f316])).
% 1.59/0.56 thf(f316,plain,(
% 1.59/0.56 ( ! [X2 : $i,X1 : $i,X5 : $i > $o] : (((sK4 @ (sK2 @ (^[Y0 : $i]: (~ (X5 @ Y0))))) = $false) | ((X5 @ (sK6 @ (sK2 @ (^[Y0 : $i]: (~ (X5 @ Y0)))))) = $false) | ((~ (X5 @ X1)) = $true) | ($false = (X5 @ X2))) )),
% 1.59/0.56 inference(not_proxy_clausification,[],[f315])).
% 1.59/0.56 thf(f315,plain,(
% 1.59/0.56 ( ! [X2 : $i,X1 : $i,X5 : $i > $o] : (($false = (X5 @ X2)) | ((~ (X5 @ (sK6 @ (sK2 @ (^[Y0 : $i]: (~ (X5 @ Y0))))))) = $true) | ((sK4 @ (sK2 @ (^[Y0 : $i]: (~ (X5 @ Y0))))) = $false) | ((~ (X5 @ X1)) = $true)) )),
% 1.59/0.56 inference(not_proxy_clausification,[],[f314])).
% 1.59/0.56 thf(f314,plain,(
% 1.59/0.56 ( ! [X2 : $i,X1 : $i,X5 : $i > $o] : (((sK4 @ (sK2 @ (^[Y0 : $i]: (~ (X5 @ Y0))))) = $false) | ((~ (X5 @ X2)) = $true) | ((~ (X5 @ (sK6 @ (sK2 @ (^[Y0 : $i]: (~ (X5 @ Y0))))))) = $true) | ((~ (X5 @ X1)) = $true)) )),
% 1.59/0.56 inference(beta_eta_normalization,[],[f286])).
% 1.59/0.56 thf(f286,plain,(
% 1.59/0.56 ( ! [X2 : $i,X1 : $i,X5 : $i > $o] : (($true = ((^[Y0 : $i]: (~ (X5 @ Y0))) @ X2)) | (((^[Y0 : $i]: (~ (X5 @ Y0))) @ X1) = $true) | ($true = ((^[Y0 : $i]: (~ (X5 @ Y0))) @ (sK6 @ (sK2 @ (^[Y0 : $i]: (~ (X5 @ Y0))))))) | ((sK4 @ (sK2 @ (^[Y0 : $i]: (~ (X5 @ Y0))))) = $false)) )),
% 1.59/0.56 inference(primitive_instantiation,[],[f283])).
% 1.59/0.56 thf(f283,plain,(
% 1.59/0.56 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((X0 @ (sK6 @ (sK2 @ X0))) = $true) | ((sK4 @ (sK2 @ X0)) = $false) | ((X0 @ X1) = $true) | ((X0 @ X2) = $true)) )),
% 1.59/0.56 inference(trivial_inequality_removal,[],[f271])).
% 1.59/0.56 thf(f271,plain,(
% 1.59/0.56 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((sK4 @ (sK2 @ X0)) = $false) | ((X0 @ X2) = $true) | ($true = $false) | ((X0 @ X1) = $true) | ((X0 @ (sK6 @ (sK2 @ X0))) = $true)) )),
% 1.59/0.56 inference(superposition,[],[f186,f246])).
% 1.59/0.56 thf(f246,plain,(
% 1.59/0.56 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i > $o] : (((sK0 @ (sK2 @ X1) @ X0) = $false) | ($true = (X1 @ X3)) | ((X1 @ X2) = $true) | ((X1 @ X0) = $true)) )),
% 1.59/0.56 inference(trivial_inequality_removal,[],[f245])).
% 1.59/0.56 thf(f245,plain,(
% 1.59/0.56 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i > $o] : (((X1 @ X0) = $true) | ($true = $false) | ((sK0 @ (sK2 @ X1) @ X0) = $false) | ($true = (X1 @ X3)) | ((X1 @ X2) = $true)) )),
% 1.59/0.56 inference(duplicate_literal_removal,[],[f224])).
% 1.59/0.56 thf(f224,plain,(
% 1.59/0.56 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i > $o] : (($true = (X1 @ X3)) | ((sK0 @ (sK2 @ X1) @ X0) = $false) | ((X1 @ X2) = $true) | ((X1 @ X0) = $true) | ($true = $false) | ((X1 @ X0) = $true)) )),
% 1.59/0.56 inference(superposition,[],[f156,f164])).
% 1.59/0.56 thf(f164,plain,(
% 1.59/0.56 ( ! [X2 : $i,X3 : $i,X1 : $i > $o,X4 : $i,X5 : $i] : (($true = (sK3 @ X3 @ X1 @ X5 @ X4)) | ((X1 @ X2) = $true) | ((sK0 @ X5 @ X4) = $false) | ($true = (X1 @ X3))) )),
% 1.59/0.56 inference(binary_proxy_clausification,[],[f163])).
% 1.59/0.56 thf(f163,plain,(
% 1.59/0.56 ( ! [X2 : $i,X3 : $i,X1 : $i > $o,X4 : $i,X5 : $i] : (((X1 @ X2) = $true) | (((sK0 @ X5 @ X4) => (sK3 @ X3 @ X1 @ X5 @ X4)) = $true) | ($true = (X1 @ X3))) )),
% 1.59/0.56 inference(beta_eta_normalization,[],[f162])).
% 1.59/0.56 thf(f162,plain,(
% 1.59/0.56 ( ! [X2 : $i,X3 : $i,X1 : $i > $o,X4 : $i,X5 : $i] : (($true = (X1 @ X3)) | ((X1 @ X2) = $true) | (((^[Y0 : $i]: ((sK0 @ Y0 @ X4) => (sK3 @ X3 @ X1 @ Y0 @ X4))) @ X5) = $true)) )),
% 1.59/0.56 inference(pi_clausification,[],[f161])).
% 1.59/0.56 thf(f161,plain,(
% 1.59/0.56 ( ! [X2 : $i,X3 : $i,X1 : $i > $o,X4 : $i] : (((X1 @ X2) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0 @ X4) => (sK3 @ X3 @ X1 @ Y0 @ X4)))) = $true) | ($true = (X1 @ X3))) )),
% 1.59/0.56 inference(beta_eta_normalization,[],[f160])).
% 1.59/0.56 thf(f160,plain,(
% 1.59/0.56 ( ! [X2 : $i,X3 : $i,X1 : $i > $o,X4 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK3 @ X3 @ X1 @ Y1 @ Y0))))) @ X4) = $true) | ($true = (X1 @ X3)) | ((X1 @ X2) = $true)) )),
% 1.59/0.56 inference(pi_clausification,[],[f159])).
% 1.59/0.56 thf(f159,plain,(
% 1.59/0.56 ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : (($true = (X1 @ X3)) | ((X1 @ X2) = $true) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK3 @ X3 @ X1 @ Y1 @ Y0)))))) = $true)) )),
% 1.59/0.56 inference(binary_proxy_clausification,[],[f157])).
% 1.59/0.56 thf(f157,plain,(
% 1.59/0.56 ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK3 @ X3 @ X1 @ Y1 @ Y0)))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK3 @ X3 @ X1 @ Y2 @ Y1) & (sK3 @ X3 @ X1 @ Y0 @ Y2)) => (sK3 @ X3 @ X1 @ Y0 @ Y1))))))))) = $true) | ($true = (X1 @ X3)) | ((X1 @ X2) = $true)) )),
% 1.59/0.56 inference(binary_proxy_clausification,[],[f155])).
% 1.59/0.56 thf(f155,plain,(
% 1.59/0.56 ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : (((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK3 @ X3 @ X1 @ Y1 @ Y0)))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK3 @ X3 @ X1 @ Y2 @ Y1) & (sK3 @ X3 @ X1 @ Y0 @ Y2)) => (sK3 @ X3 @ X1 @ Y0 @ Y1))))))))) => (sK3 @ X3 @ X1 @ (sK2 @ X1) @ X3)) = $false) | ((X1 @ X2) = $true) | ($true = (X1 @ X3))) )),
% 1.59/0.56 inference(beta_eta_normalization,[],[f154])).
% 1.59/0.56 thf(f154,plain,(
% 1.59/0.56 ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : (($true = (X1 @ X3)) | (((^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK0 @ Y2 @ Y1) => (Y0 @ Y2 @ Y1)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ (sK2 @ X1) @ X3))) @ (sK3 @ X3 @ X1)) = $false) | ((X1 @ X2) = $true)) )),
% 1.59/0.56 inference(sigma_clausification,[],[f153])).
% 1.59/0.56 thf(f153,plain,(
% 1.59/0.56 ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : (($true = (X1 @ X3)) | ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK0 @ Y2 @ Y1) => (Y0 @ Y2 @ Y1)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ (sK2 @ X1) @ X3)))) = $false) | ((X1 @ X2) = $true)) )),
% 1.59/0.56 inference(binary_proxy_clausification,[],[f152])).
% 1.59/0.56 thf(f152,plain,(
% 1.59/0.56 ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : (($true = ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK0 @ Y2 @ Y1) => (Y0 @ Y2 @ Y1)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ (sK2 @ X1) @ X3)))) => (X1 @ X3))) | ((X1 @ X2) = $true)) )),
% 1.59/0.56 inference(beta_eta_normalization,[],[f151])).
% 1.59/0.56 thf(f151,plain,(
% 1.59/0.56 ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : (((X1 @ X2) = $true) | (((^[Y0 : $i]: ((!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((sK0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2)))))) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y4 @ Y3) & (Y1 @ Y2 @ Y4)) => (Y1 @ Y2 @ Y3))))))))) => (Y1 @ (sK2 @ X1) @ Y0)))) => (X1 @ Y0))) @ X3) = $true)) )),
% 1.59/0.56 inference(pi_clausification,[],[f150])).
% 1.59/0.56 thf(f150,plain,(
% 1.59/0.56 ( ! [X2 : $i,X1 : $i > $o] : (((X1 @ X2) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((sK0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2)))))) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y4 @ Y3) & (Y1 @ Y2 @ Y4)) => (Y1 @ Y2 @ Y3))))))))) => (Y1 @ (sK2 @ X1) @ Y0)))) => (X1 @ Y0)))) = $true)) )),
% 1.59/0.56 inference(binary_proxy_clausification,[],[f148])).
% 1.59/0.56 thf(f156,plain,(
% 1.59/0.56 ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : (((sK3 @ X3 @ X1 @ (sK2 @ X1) @ X3) = $false) | ((X1 @ X2) = $true) | ($true = (X1 @ X3))) )),
% 1.59/0.56 inference(binary_proxy_clausification,[],[f155])).
% 1.59/0.56 thf(f186,plain,(
% 1.59/0.56 ( ! [X1 : $i] : (($true = (sK0 @ X1 @ (sK6 @ X1))) | ((sK4 @ X1) = $false)) )),
% 1.59/0.56 inference(not_proxy_clausification,[],[f184])).
% 1.59/0.56 thf(f184,plain,(
% 1.59/0.56 ( ! [X1 : $i] : (($false = (~ (sK0 @ X1 @ (sK6 @ X1)))) | ((sK4 @ X1) = $false)) )),
% 1.59/0.56 inference(binary_proxy_clausification,[],[f183])).
% 1.59/0.56 thf(f183,plain,(
% 1.59/0.56 ( ! [X1 : $i] : (((sK4 @ X1) = $false) | (((sK4 @ (sK6 @ X1)) => (~ (sK0 @ X1 @ (sK6 @ X1)))) = $false)) )),
% 1.59/0.56 inference(beta_eta_normalization,[],[f182])).
% 1.59/0.56 thf(f182,plain,(
% 1.59/0.56 ( ! [X1 : $i] : (((sK4 @ X1) = $false) | (((^[Y0 : $i]: ((sK4 @ Y0) => (~ (sK0 @ X1 @ Y0)))) @ (sK6 @ X1)) = $false)) )),
% 1.59/0.56 inference(sigma_clausification,[],[f181])).
% 1.59/0.56 thf(f181,plain,(
% 1.59/0.56 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((sK4 @ Y0) => (~ (sK0 @ X1 @ Y0))))) = $false) | ((sK4 @ X1) = $false)) )),
% 1.59/0.56 inference(binary_proxy_clausification,[],[f180])).
% 1.59/0.56 thf(f180,plain,(
% 1.59/0.56 ( ! [X1 : $i] : ((((sK4 @ X1) & (!! @ $i @ (^[Y0 : $i]: ((sK4 @ Y0) => (~ (sK0 @ X1 @ Y0)))))) = $false)) )),
% 1.59/0.56 inference(beta_eta_normalization,[],[f179])).
% 1.59/0.56 thf(f179,plain,(
% 1.59/0.56 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((sK4 @ Y0) & (!! @ $i @ (^[Y1 : $i]: ((sK4 @ Y1) => (~ (sK0 @ Y0 @ Y1))))))) @ X1) = $false)) )),
% 1.59/0.56 inference(pi_clausification,[],[f176])).
% 1.59/0.56 thf(f176,plain,(
% 1.59/0.56 ((?? @ $i @ (^[Y0 : $i]: ((sK4 @ Y0) & (!! @ $i @ (^[Y1 : $i]: ((sK4 @ Y1) => (~ (sK0 @ Y0 @ Y1)))))))) = $false)),
% 1.59/0.56 inference(binary_proxy_clausification,[],[f175])).
% 1.59/0.56 thf(f185,plain,(
% 1.59/0.56 ( ! [X1 : $i] : (($true = (sK4 @ (sK6 @ X1))) | ((sK4 @ X1) = $false)) )),
% 1.59/0.56 inference(binary_proxy_clausification,[],[f183])).
% 1.59/0.56 % SZS output end Proof for theBenchmark
% 1.59/0.56 % (23649)------------------------------
% 1.59/0.56 % (23649)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.59/0.56 % (23649)Termination reason: Refutation
% 1.59/0.56
% 1.59/0.56 % (23649)Memory used [KB]: 6268
% 1.59/0.56 % (23649)Time elapsed: 0.137 s
% 1.59/0.56 % (23649)Instructions burned: 223 (million)
% 1.59/0.56 % (23649)------------------------------
% 1.59/0.56 % (23649)------------------------------
% 1.59/0.56 % (23619)Success in time 0.203 s
% 1.59/0.56 % Vampire---4.8 exiting
%------------------------------------------------------------------------------