TSTP Solution File: DAT286^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT286^1 : TPTP v8.2.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n017.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 : Mon May 20 19:50:29 EDT 2024
% Result : Theorem 0.23s 0.48s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : DAT286^1 : TPTP v8.2.0. Released v7.0.0.
% 0.13/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 23:40:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH1_THM_EQU_NAR problem
% 0.14/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.38 % (12251)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.38 % (12253)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.14/0.38 % (12255)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.38 % (12252)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.38 % (12256)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.14/0.38 % (12258)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.38 % (12255)Instruction limit reached!
% 0.14/0.38 % (12255)------------------------------
% 0.14/0.38 % (12255)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (12255)Termination reason: Unknown
% 0.14/0.38 % (12255)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (12255)Memory used [KB]: 895
% 0.14/0.38 % (12255)Time elapsed: 0.003 s
% 0.14/0.38 % (12255)Instructions burned: 2 (million)
% 0.14/0.38 % (12255)------------------------------
% 0.14/0.38 % (12255)------------------------------
% 0.14/0.38 % (12256)Refutation not found, incomplete strategy
% 0.14/0.38 % (12256)------------------------------
% 0.14/0.38 % (12256)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (12256)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % (12256)Memory used [KB]: 5373
% 0.14/0.38 % (12256)Time elapsed: 0.003 s
% 0.14/0.38 % (12256)Instructions burned: 2 (million)
% 0.14/0.38 % (12256)------------------------------
% 0.14/0.38 % (12256)------------------------------
% 0.14/0.38 % (12252)Instruction limit reached!
% 0.14/0.38 % (12252)------------------------------
% 0.14/0.38 % (12252)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (12252)Termination reason: Unknown
% 0.14/0.39 % (12252)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (12253)Refutation not found, incomplete strategy
% 0.14/0.39 % (12253)------------------------------
% 0.14/0.39 % (12253)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (12253)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.39
% 0.14/0.39
% 0.14/0.39 % (12253)Memory used [KB]: 5500
% 0.14/0.39 % (12253)Time elapsed: 0.005 s
% 0.14/0.39 % (12253)Instructions burned: 2 (million)
% 0.14/0.39 % (12253)------------------------------
% 0.14/0.39 % (12253)------------------------------
% 0.14/0.39 % (12252)Memory used [KB]: 5500
% 0.14/0.39 % (12252)Time elapsed: 0.005 s
% 0.14/0.39 % (12252)Instructions burned: 4 (million)
% 0.14/0.39 % (12252)------------------------------
% 0.14/0.39 % (12252)------------------------------
% 0.14/0.39 % (12258)Instruction limit reached!
% 0.14/0.39 % (12258)------------------------------
% 0.14/0.39 % (12258)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (12258)Termination reason: Unknown
% 0.14/0.39 % (12258)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (12258)Memory used [KB]: 5500
% 0.14/0.39 % (12258)Time elapsed: 0.005 s
% 0.14/0.39 % (12258)Instructions burned: 3 (million)
% 0.14/0.39 % (12258)------------------------------
% 0.14/0.39 % (12258)------------------------------
% 0.14/0.39 % (12254)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.39 % (12254)Instruction limit reached!
% 0.14/0.39 % (12254)------------------------------
% 0.14/0.39 % (12254)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (12254)Termination reason: Unknown
% 0.14/0.39 % (12254)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (12254)Memory used [KB]: 5500
% 0.14/0.39 % (12254)Time elapsed: 0.003 s
% 0.14/0.39 % (12254)Instructions burned: 2 (million)
% 0.14/0.39 % (12254)------------------------------
% 0.14/0.39 % (12254)------------------------------
% 0.14/0.39 % (12257)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.40 % (12259)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.14/0.40 % Exception at run slice level
% 0.14/0.40 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.14/0.40 % (12260)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.14/0.40 % (12262)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.14/0.40 % Exception at run slice level
% 0.14/0.40 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.14/0.40 % (12260)Refutation not found, incomplete strategy
% 0.14/0.40 % (12260)------------------------------
% 0.14/0.40 % (12260)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (12260)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.40
% 0.14/0.40
% 0.14/0.40 % (12260)Memory used [KB]: 5500
% 0.14/0.40 % (12260)Time elapsed: 0.004 s
% 0.14/0.40 % (12260)Instructions burned: 2 (million)
% 0.14/0.40 % (12260)------------------------------
% 0.14/0.40 % (12260)------------------------------
% 0.14/0.40 % (12264)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.14/0.40 % (12261)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.41 % (12261)Instruction limit reached!
% 0.14/0.41 % (12261)------------------------------
% 0.14/0.41 % (12261)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (12261)Termination reason: Unknown
% 0.14/0.41 % (12261)Termination phase: Saturation
% 0.14/0.41
% 0.14/0.41 % (12261)Memory used [KB]: 5500
% 0.14/0.41 % (12261)Time elapsed: 0.004 s
% 0.14/0.41 % (12261)Instructions burned: 3 (million)
% 0.14/0.41 % (12261)------------------------------
% 0.14/0.41 % (12261)------------------------------
% 0.14/0.41 % (12257)Instruction limit reached!
% 0.14/0.41 % (12257)------------------------------
% 0.14/0.41 % (12257)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (12257)Termination reason: Unknown
% 0.14/0.41 % (12257)Termination phase: Saturation
% 0.14/0.41
% 0.14/0.41 % (12257)Memory used [KB]: 5628
% 0.14/0.41 % (12257)Time elapsed: 0.014 s
% 0.14/0.41 % (12257)Instructions burned: 18 (million)
% 0.14/0.41 % (12257)------------------------------
% 0.14/0.41 % (12257)------------------------------
% 0.14/0.41 % (12263)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.41 % (12265)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.41 % (12264)Instruction limit reached!
% 0.14/0.41 % (12264)------------------------------
% 0.14/0.41 % (12264)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (12264)Termination reason: Unknown
% 0.14/0.41 % (12264)Termination phase: Saturation
% 0.14/0.41
% 0.14/0.41 % (12264)Memory used [KB]: 5628
% 0.14/0.41 % (12264)Time elapsed: 0.013 s
% 0.14/0.41 % (12264)Instructions burned: 17 (million)
% 0.14/0.41 % (12264)------------------------------
% 0.14/0.41 % (12264)------------------------------
% 0.14/0.42 % (12263)Instruction limit reached!
% 0.14/0.42 % (12263)------------------------------
% 0.14/0.42 % (12263)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (12263)Termination reason: Unknown
% 0.14/0.42 % (12263)Termination phase: Saturation
% 0.14/0.42
% 0.14/0.42 % (12263)Memory used [KB]: 1023
% 0.14/0.42 % (12263)Time elapsed: 0.007 s
% 0.14/0.42 % (12263)Instructions burned: 7 (million)
% 0.14/0.42 % (12263)------------------------------
% 0.14/0.42 % (12263)------------------------------
% 0.14/0.42 % (12265)Instruction limit reached!
% 0.14/0.42 % (12265)------------------------------
% 0.14/0.42 % (12265)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (12265)Termination reason: Unknown
% 0.14/0.42 % (12265)Termination phase: Saturation
% 0.14/0.42
% 0.14/0.42 % (12265)Memory used [KB]: 5500
% 0.14/0.42 % (12265)Time elapsed: 0.004 s
% 0.14/0.42 % (12265)Instructions burned: 3 (million)
% 0.14/0.42 % (12265)------------------------------
% 0.14/0.42 % (12265)------------------------------
% 0.14/0.42 % (12266)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.42 % (12266)Instruction limit reached!
% 0.14/0.42 % (12266)------------------------------
% 0.14/0.42 % (12266)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (12266)Termination reason: Unknown
% 0.14/0.42 % (12266)Termination phase: Saturation
% 0.14/0.42
% 0.14/0.42 % (12266)Memory used [KB]: 1023
% 0.14/0.42 % (12266)Time elapsed: 0.004 s
% 0.14/0.42 % (12266)Instructions burned: 3 (million)
% 0.14/0.42 % (12266)------------------------------
% 0.14/0.42 % (12266)------------------------------
% 0.14/0.42 % (12268)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.42 % Exception at run slice level
% 0.14/0.42 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.14/0.42 % (12269)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.42 % (12269)Instruction limit reached!
% 0.14/0.42 % (12269)------------------------------
% 0.14/0.42 % (12269)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (12269)Termination reason: Unknown
% 0.14/0.42 % (12269)Termination phase: Saturation
% 0.14/0.42
% 0.14/0.42 % (12269)Memory used [KB]: 5500
% 0.14/0.42 % (12269)Time elapsed: 0.005 s
% 0.14/0.42 % (12269)Instructions burned: 4 (million)
% 0.14/0.42 % (12269)------------------------------
% 0.14/0.42 % (12269)------------------------------
% 0.14/0.43 % (12267)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.43 % (12271)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.23/0.43 % (12272)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.23/0.43 % (12270)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.23/0.43 % (12267)Instruction limit reached!
% 0.23/0.43 % (12267)------------------------------
% 0.23/0.43 % (12267)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (12267)Termination reason: Unknown
% 0.23/0.43 % (12267)Termination phase: Saturation
% 0.23/0.43
% 0.23/0.43 % (12267)Memory used [KB]: 5500
% 0.23/0.43 % (12267)Time elapsed: 0.007 s
% 0.23/0.43 % (12267)Instructions burned: 8 (million)
% 0.23/0.43 % (12267)------------------------------
% 0.23/0.43 % (12267)------------------------------
% 0.23/0.44 % (12273)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)
% 0.23/0.44 % (12274)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)
% 0.23/0.44 % (12270)Refutation not found, incomplete strategy
% 0.23/0.44 % (12270)------------------------------
% 0.23/0.44 % (12270)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (12270)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.44
% 0.23/0.44
% 0.23/0.44 % (12270)Memory used [KB]: 5500
% 0.23/0.44 % (12270)Time elapsed: 0.005 s
% 0.23/0.44 % (12270)Instructions burned: 3 (million)
% 0.23/0.44 % (12270)------------------------------
% 0.23/0.44 % (12270)------------------------------
% 0.23/0.44 % (12273)Refutation not found, incomplete strategy
% 0.23/0.44 % (12273)------------------------------
% 0.23/0.44 % (12273)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (12273)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.44
% 0.23/0.44
% 0.23/0.44 % (12273)Memory used [KB]: 5500
% 0.23/0.44 % (12273)Time elapsed: 0.003 s
% 0.23/0.44 % (12273)Instructions burned: 2 (million)
% 0.23/0.44 % (12273)------------------------------
% 0.23/0.44 % (12273)------------------------------
% 0.23/0.44 % (12275)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.23/0.44 % (12272)Instruction limit reached!
% 0.23/0.44 % (12272)------------------------------
% 0.23/0.44 % (12272)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (12272)Termination reason: Unknown
% 0.23/0.44 % (12272)Termination phase: Saturation
% 0.23/0.44
% 0.23/0.44 % (12272)Memory used [KB]: 5500
% 0.23/0.44 % (12272)Time elapsed: 0.009 s
% 0.23/0.44 % (12272)Instructions burned: 6 (million)
% 0.23/0.44 % (12272)------------------------------
% 0.23/0.44 % (12272)------------------------------
% 0.23/0.44 % Exception at run slice level
% 0.23/0.44 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.23/0.44 % (12274)Instruction limit reached!
% 0.23/0.44 % (12274)------------------------------
% 0.23/0.44 % (12274)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (12274)Termination reason: Unknown
% 0.23/0.44 % (12274)Termination phase: Saturation
% 0.23/0.44
% 0.23/0.44 % (12274)Memory used [KB]: 5628
% 0.23/0.44 % (12274)Time elapsed: 0.009 s
% 0.23/0.44 % (12274)Instructions burned: 22 (million)
% 0.23/0.44 % (12274)------------------------------
% 0.23/0.44 % (12274)------------------------------
% 0.23/0.45 % (12276)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)
% 0.23/0.45 % Exception at run slice level
% 0.23/0.45 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.23/0.45 % (12277)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.23/0.45 % (12281)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.23/0.45 % (12278)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)
% 0.23/0.45 % Exception at run slice level
% 0.23/0.45 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.23/0.45 % (12279)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)
% 0.23/0.46 % Exception at run slice level
% 0.23/0.46 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.23/0.46 % (12281)Instruction limit reached!
% 0.23/0.46 % (12281)------------------------------
% 0.23/0.46 % (12281)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (12281)Termination reason: Unknown
% 0.23/0.46 % (12281)Termination phase: Saturation
% 0.23/0.46
% 0.23/0.46 % (12281)Memory used [KB]: 5628
% 0.23/0.46 % (12281)Time elapsed: 0.008 s
% 0.23/0.46 % (12281)Instructions burned: 19 (million)
% 0.23/0.46 % (12281)------------------------------
% 0.23/0.46 % (12281)------------------------------
% 0.23/0.46 % (12282)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.23/0.46 % (12280)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)
% 0.23/0.47 % (12282)Instruction limit reached!
% 0.23/0.47 % (12282)------------------------------
% 0.23/0.47 % (12282)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (12282)Termination reason: Unknown
% 0.23/0.47 % (12282)Termination phase: Saturation
% 0.23/0.47
% 0.23/0.47 % (12282)Memory used [KB]: 1023
% 0.23/0.47 % (12282)Time elapsed: 0.003 s
% 0.23/0.47 % (12282)Instructions burned: 3 (million)
% 0.23/0.47 % (12282)------------------------------
% 0.23/0.47 % (12282)------------------------------
% 0.23/0.47 % (12285)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 (2999ds/100Mi)
% 0.23/0.47 % (12283)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.23/0.47 % (12284)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)
% 0.23/0.48 % (12286)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 (2999ds/3Mi)
% 0.23/0.48 % Exception at run slice level
% 0.23/0.48 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.23/0.48 % (12285)First to succeed.
% 0.23/0.48 % (12285)Refutation found. Thanks to Tanya!
% 0.23/0.48 % SZS status Theorem for theBenchmark
% 0.23/0.48 % SZS output start Proof for theBenchmark
% 0.23/0.48 thf(type_def_5, type, 'type/ind_types/list': ($tType) > $tType).
% 0.23/0.48 thf(type_def_7, type, sK0: $tType).
% 0.23/0.48 thf(func_def_0, type, 'type/ind_types/list': ($tType) > $tType).
% 0.23/0.48 thf(func_def_1, type, 'const/lists/APPEND': !>[X0: $tType]:('type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0)).
% 0.23/0.48 thf(func_def_2, type, 'const/ind_types/NIL': !>[X0: $tType]:('type/ind_types/list' @ X0)).
% 0.23/0.48 thf(func_def_3, type, 'const/ind_types/CONS': !>[X0: $tType]:(X0 > 'type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0)).
% 0.23/0.48 thf(func_def_15, type, sK1: 'type/ind_types/list' @ sK0).
% 0.23/0.48 thf(func_def_16, type, sK2: 'type/ind_types/list' @ sK0).
% 0.23/0.48 thf(func_def_17, type, sK3: 'type/ind_types/list' @ sK0).
% 0.23/0.48 thf(func_def_19, type, sK5: !>[X0: $tType]:(('type/ind_types/list' @ X0 > $o) > 'type/ind_types/list' @ X0)).
% 0.23/0.48 thf(func_def_20, type, sK6: !>[X0: $tType]:(('type/ind_types/list' @ X0 > $o) > X0)).
% 0.23/0.48 thf(func_def_21, type, sK7: 'type/ind_types/list' @ sK0).
% 0.23/0.48 thf(func_def_22, type, sK8: sK0).
% 0.23/0.48 thf(func_def_23, type, sK9: 'type/ind_types/list' @ sK0).
% 0.23/0.48 thf(func_def_24, type, sK10: sK0).
% 0.23/0.48 thf(func_def_25, type, sK11: 'type/ind_types/list' @ sK0).
% 0.23/0.48 thf(func_def_26, type, sK12: sK0).
% 0.23/0.48 thf(func_def_27, type, sK13: 'type/ind_types/list' @ sK0).
% 0.23/0.48 thf(func_def_28, type, sK14: sK0).
% 0.23/0.48 thf(func_def_29, type, ph15: !>[X0: $tType]:(X0)).
% 0.23/0.48 thf(f211,plain,(
% 0.23/0.48 $false),
% 0.23/0.48 inference(avatar_sat_refutation,[],[f194,f202,f209])).
% 0.23/0.48 thf(f209,plain,(
% 0.23/0.48 ~spl4_13),
% 0.23/0.48 inference(avatar_contradiction_clause,[],[f208])).
% 0.23/0.48 thf(f208,plain,(
% 0.23/0.48 $false | ~spl4_13),
% 0.23/0.48 inference(trivial_inequality_removal,[],[f207])).
% 0.23/0.48 thf(f207,plain,(
% 0.23/0.48 (('const/lists/APPEND' @ sK0 @ sK1 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)) != ('const/lists/APPEND' @ sK0 @ sK1 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))) | ~spl4_13),
% 0.23/0.48 inference(superposition,[],[f22,f189])).
% 0.23/0.48 thf(f189,plain,(
% 0.23/0.48 ( ! [X1 : 'type/ind_types/list' @ sK0] : ((('const/lists/APPEND' @ sK0 @ X1 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)) = ('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ X1 @ sK2) @ sK3))) ) | ~spl4_13),
% 0.23/0.48 inference(avatar_component_clause,[],[f188])).
% 0.23/0.48 thf(f188,plain,(
% 0.23/0.48 spl4_13 <=> ! [X1 : 'type/ind_types/list' @ sK0] : (('const/lists/APPEND' @ sK0 @ X1 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)) = ('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ X1 @ sK2) @ sK3))),
% 0.23/0.48 introduced(avatar_definition,[new_symbols(naming,[spl4_13])])).
% 0.23/0.48 thf(f22,plain,(
% 0.23/0.48 (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ sK1 @ sK2) @ sK3) != ('const/lists/APPEND' @ sK0 @ sK1 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)))),
% 0.23/0.48 inference(cnf_transformation,[],[f19])).
% 0.23/0.48 thf(f19,plain,(
% 0.23/0.48 (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ sK1 @ sK2) @ sK3) != ('const/lists/APPEND' @ sK0 @ sK1 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)))),
% 0.23/0.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f17,f18])).
% 0.23/0.48 thf(f18,plain,(
% 0.23/0.48 ? [X0 : $tType,X1 : 'type/ind_types/list' @ X0,X2 : 'type/ind_types/list' @ X0,X3 : 'type/ind_types/list' @ X0] : (('const/lists/APPEND' @ X0 @ ('const/lists/APPEND' @ X0 @ X1 @ X2) @ X3) != ('const/lists/APPEND' @ X0 @ X1 @ ('const/lists/APPEND' @ X0 @ X2 @ X3))) => (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ sK1 @ sK2) @ sK3) != ('const/lists/APPEND' @ sK0 @ sK1 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)))),
% 0.23/0.48 introduced(choice_axiom,[])).
% 0.23/0.48 thf(f17,plain,(
% 0.23/0.48 ? [X0 : $tType,X1 : 'type/ind_types/list' @ X0,X2 : 'type/ind_types/list' @ X0,X3 : 'type/ind_types/list' @ X0] : (('const/lists/APPEND' @ X0 @ ('const/lists/APPEND' @ X0 @ X1 @ X2) @ X3) != ('const/lists/APPEND' @ X0 @ X1 @ ('const/lists/APPEND' @ X0 @ X2 @ X3)))),
% 0.23/0.48 inference(ennf_transformation,[],[f16])).
% 0.23/0.48 thf(f16,plain,(
% 0.23/0.48 ~! [X0 : $tType,X1 : 'type/ind_types/list' @ X0,X2 : 'type/ind_types/list' @ X0,X3 : 'type/ind_types/list' @ X0] : (('const/lists/APPEND' @ X0 @ ('const/lists/APPEND' @ X0 @ X1 @ X2) @ X3) = ('const/lists/APPEND' @ X0 @ X1 @ ('const/lists/APPEND' @ X0 @ X2 @ X3)))),
% 0.23/0.48 inference(rectify,[],[f5])).
% 0.23/0.48 thf(f5,negated_conjecture,(
% 0.23/0.48 ~! [X0 : $tType,X2 : 'type/ind_types/list' @ X0,X3 : 'type/ind_types/list' @ X0,X4 : 'type/ind_types/list' @ X0] : (('const/lists/APPEND' @ X0 @ X2 @ ('const/lists/APPEND' @ X0 @ X3 @ X4)) = ('const/lists/APPEND' @ X0 @ ('const/lists/APPEND' @ X0 @ X2 @ X3) @ X4))),
% 0.23/0.48 inference(negated_conjecture,[],[f4])).
% 0.23/0.48 thf(f4,conjecture,(
% 0.23/0.48 ! [X0 : $tType,X2 : 'type/ind_types/list' @ X0,X3 : 'type/ind_types/list' @ X0,X4 : 'type/ind_types/list' @ X0] : (('const/lists/APPEND' @ X0 @ X2 @ ('const/lists/APPEND' @ X0 @ X3 @ X4)) = ('const/lists/APPEND' @ X0 @ ('const/lists/APPEND' @ X0 @ X2 @ X3) @ X4))),
% 0.23/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/lists/APPEND_ASSOC_')).
% 0.23/0.48 thf(f202,plain,(
% 0.23/0.48 spl4_14),
% 0.23/0.48 inference(avatar_contradiction_clause,[],[f201])).
% 0.23/0.48 thf(f201,plain,(
% 0.23/0.48 $false | spl4_14),
% 0.23/0.48 inference(trivial_inequality_removal,[],[f200])).
% 0.23/0.48 thf(f200,plain,(
% 0.23/0.48 (('const/ind_types/CONS' @ sK0 @ sK14 @ ('const/lists/APPEND' @ sK0 @ sK13 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))) != ('const/ind_types/CONS' @ sK0 @ sK14 @ ('const/lists/APPEND' @ sK0 @ sK13 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)))) | spl4_14),
% 0.23/0.48 inference(forward_demodulation,[],[f193,f199])).
% 0.23/0.48 thf(f199,plain,(
% 0.23/0.48 (('const/lists/APPEND' @ sK0 @ sK13 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)) = ('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ sK13 @ sK2) @ sK3))),
% 0.23/0.48 inference(condensation,[],[f198])).
% 0.23/0.48 thf(f198,plain,(
% 0.23/0.48 ( ! [X1 : 'type/ind_types/list' @ sK0] : ((('const/lists/APPEND' @ sK0 @ sK13 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)) = ('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ sK13 @ sK2) @ sK3)) | (('const/lists/APPEND' @ sK0 @ X1 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)) = ('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ X1 @ sK2) @ sK3))) )),
% 0.23/0.48 inference(equality_proxy_clausification,[],[f197])).
% 0.23/0.48 thf(f197,plain,(
% 0.23/0.48 ( ! [X1 : 'type/ind_types/list' @ sK0] : (((('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ X1 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ X1 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))) = $true) | (('const/lists/APPEND' @ sK0 @ sK13 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)) = ('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ sK13 @ sK2) @ sK3))) )),
% 0.23/0.48 inference(beta_eta_normalization,[],[f196])).
% 0.23/0.48 thf(f196,plain,(
% 0.23/0.48 ( ! [X1 : 'type/ind_types/list' @ sK0] : ((((^[Y0 : 'type/ind_types/list' @ sK0]: (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ Y0 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ Y0 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)))) @ X1) = $true) | (('const/lists/APPEND' @ sK0 @ sK13 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)) = ('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ sK13 @ sK2) @ sK3))) )),
% 0.23/0.48 inference(pi_clausification,[],[f195])).
% 0.23/0.48 thf(f195,plain,(
% 0.23/0.48 (('const/lists/APPEND' @ sK0 @ sK13 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)) = ('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ sK13 @ sK2) @ sK3)) | ($true = (!! @ 'type/ind_types/list' @ sK0 @ (^[Y0 : 'type/ind_types/list' @ sK0]: (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ Y0 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ Y0 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))))))),
% 0.23/0.48 inference(equality_proxy_clausification,[],[f182])).
% 0.23/0.48 thf(f182,plain,(
% 0.23/0.48 ((('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ sK13 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ sK13 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))) = $true) | ($true = (!! @ 'type/ind_types/list' @ sK0 @ (^[Y0 : 'type/ind_types/list' @ sK0]: (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ Y0 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ Y0 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))))))),
% 0.23/0.48 inference(binary_proxy_clausification,[],[f180])).
% 0.23/0.48 thf(f180,plain,(
% 0.23/0.48 (((('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ sK13 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ sK13 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))) => (('const/ind_types/CONS' @ sK0 @ sK14 @ ('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ sK13 @ sK2) @ sK3)) = ('const/ind_types/CONS' @ sK0 @ sK14 @ ('const/lists/APPEND' @ sK0 @ sK13 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))))) = $false) | ($true = (!! @ 'type/ind_types/list' @ sK0 @ (^[Y0 : 'type/ind_types/list' @ sK0]: (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ Y0 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ Y0 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))))))),
% 0.23/0.48 inference(forward_demodulation,[],[f179,f43])).
% 0.23/0.48 thf(f43,plain,(
% 0.23/0.48 ( ! [X0 : $tType,X2 : 'type/ind_types/list' @ X0,X3 : X0,X1 : 'type/ind_types/list' @ X0] : ((('const/lists/APPEND' @ X0 @ ('const/ind_types/CONS' @ X0 @ X3 @ X2) @ X1) = ('const/ind_types/CONS' @ X0 @ X3 @ ('const/lists/APPEND' @ X0 @ X2 @ X1)))) )),
% 0.23/0.48 inference(equality_proxy_clausification,[],[f40])).
% 0.23/0.48 thf(f40,plain,(
% 0.23/0.48 ( ! [X0 : $tType,X2 : 'type/ind_types/list' @ X0,X3 : X0,X1 : 'type/ind_types/list' @ X0] : (((('const/lists/APPEND' @ X0 @ ('const/ind_types/CONS' @ X0 @ X3 @ X2) @ X1) = ('const/ind_types/CONS' @ X0 @ X3 @ ('const/lists/APPEND' @ X0 @ X2 @ X1))) = $true)) )),
% 0.23/0.48 inference(beta_eta_normalization,[],[f36])).
% 0.23/0.48 thf(f36,plain,(
% 0.23/0.48 ( ! [X0 : $tType,X2 : 'type/ind_types/list' @ X0,X3 : X0,X1 : 'type/ind_types/list' @ X0] : ((((^[Y0 : X0]: (('const/lists/APPEND' @ X0 @ ('const/ind_types/CONS' @ X0 @ Y0 @ X2) @ X1) = ('const/ind_types/CONS' @ X0 @ Y0 @ ('const/lists/APPEND' @ X0 @ X2 @ X1)))) @ X3) = $true)) )),
% 0.23/0.48 inference(pi_clausification,[],[f31])).
% 0.23/0.48 thf(f31,plain,(
% 0.23/0.48 ( ! [X0 : $tType,X2 : 'type/ind_types/list' @ X0,X1 : 'type/ind_types/list' @ X0] : (((!! @ X0 @ (^[Y0 : X0]: (('const/lists/APPEND' @ X0 @ ('const/ind_types/CONS' @ X0 @ Y0 @ X2) @ X1) = ('const/ind_types/CONS' @ X0 @ Y0 @ ('const/lists/APPEND' @ X0 @ X2 @ X1))))) = $true)) )),
% 0.23/0.48 inference(beta_eta_normalization,[],[f30])).
% 0.23/0.48 thf(f30,plain,(
% 0.23/0.48 ( ! [X0 : $tType,X2 : 'type/ind_types/list' @ X0,X1 : 'type/ind_types/list' @ X0] : ((((^[Y0 : 'type/ind_types/list' @ X0]: (!! @ X0 @ (^[Y1 : X0]: (('const/lists/APPEND' @ X0 @ ('const/ind_types/CONS' @ X0 @ Y1 @ Y0) @ X1) = ('const/ind_types/CONS' @ X0 @ Y1 @ ('const/lists/APPEND' @ X0 @ Y0 @ X1)))))) @ X2) = $true)) )),
% 0.23/0.48 inference(pi_clausification,[],[f29])).
% 0.23/0.48 thf(f29,plain,(
% 0.23/0.48 ( ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : (((!! @ 'type/ind_types/list' @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (!! @ X0 @ (^[Y1 : X0]: (('const/lists/APPEND' @ X0 @ ('const/ind_types/CONS' @ X0 @ Y1 @ Y0) @ X1) = ('const/ind_types/CONS' @ X0 @ Y1 @ ('const/lists/APPEND' @ X0 @ Y0 @ X1))))))) = $true)) )),
% 0.23/0.48 inference(beta_eta_normalization,[],[f28])).
% 0.23/0.48 thf(f28,plain,(
% 0.23/0.48 ( ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : ((((^[Y0 : 'type/ind_types/list' @ X0]: (!! @ 'type/ind_types/list' @ X0 @ (^[Y1 : 'type/ind_types/list' @ X0]: (!! @ X0 @ (^[Y2 : X0]: (('const/lists/APPEND' @ X0 @ ('const/ind_types/CONS' @ X0 @ Y2 @ Y1) @ Y0) = ('const/ind_types/CONS' @ X0 @ Y2 @ ('const/lists/APPEND' @ X0 @ Y1 @ Y0)))))))) @ X1) = $true)) )),
% 0.23/0.48 inference(pi_clausification,[],[f23])).
% 0.23/0.48 thf(f23,plain,(
% 0.23/0.48 ( ! [X0 : $tType] : (($true = (!! @ 'type/ind_types/list' @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (!! @ 'type/ind_types/list' @ X0 @ (^[Y1 : 'type/ind_types/list' @ X0]: (!! @ X0 @ (^[Y2 : X0]: (('const/lists/APPEND' @ X0 @ ('const/ind_types/CONS' @ X0 @ Y2 @ Y1) @ Y0) = ('const/ind_types/CONS' @ X0 @ Y2 @ ('const/lists/APPEND' @ X0 @ Y1 @ Y0))))))))))) )),
% 0.23/0.48 inference(cnf_transformation,[],[f14])).
% 0.23/0.48 thf(f14,plain,(
% 0.23/0.48 ! [X0 : $tType] : ($true = (!! @ 'type/ind_types/list' @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (!! @ 'type/ind_types/list' @ X0 @ (^[Y1 : 'type/ind_types/list' @ X0]: (!! @ X0 @ (^[Y2 : X0]: (('const/lists/APPEND' @ X0 @ ('const/ind_types/CONS' @ X0 @ Y2 @ Y1) @ Y0) = ('const/ind_types/CONS' @ X0 @ Y2 @ ('const/lists/APPEND' @ X0 @ Y1 @ Y0))))))))))),
% 0.23/0.48 inference(closure,[],[f10])).
% 0.23/0.48 thf(f10,plain,(
% 0.23/0.48 ( ! [X0 : $tType] : (($true = (!! @ 'type/ind_types/list' @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (!! @ 'type/ind_types/list' @ X0 @ (^[Y1 : 'type/ind_types/list' @ X0]: (!! @ X0 @ (^[Y2 : X0]: (('const/lists/APPEND' @ X0 @ ('const/ind_types/CONS' @ X0 @ Y2 @ Y1) @ Y0) = ('const/ind_types/CONS' @ X0 @ Y2 @ ('const/lists/APPEND' @ X0 @ Y1 @ Y0))))))))))) )),
% 0.23/0.48 inference(fool_elimination,[],[f9])).
% 0.23/0.48 thf(f9,plain,(
% 0.23/0.48 ! [X0 : $tType,X1 : X0,X2 : 'type/ind_types/list' @ X0,X3 : 'type/ind_types/list' @ X0] : (('const/lists/APPEND' @ X0 @ ('const/ind_types/CONS' @ X0 @ X1 @ X2) @ X3) = ('const/ind_types/CONS' @ X0 @ X1 @ ('const/lists/APPEND' @ X0 @ X2 @ X3)))),
% 0.23/0.48 inference(rectify,[],[f2])).
% 0.23/0.48 thf(f2,axiom,(
% 0.23/0.48 ! [X0 : $tType,X2 : X0,X3 : 'type/ind_types/list' @ X0,X4 : 'type/ind_types/list' @ X0] : (('const/lists/APPEND' @ X0 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3) @ X4) = ('const/ind_types/CONS' @ X0 @ X2 @ ('const/lists/APPEND' @ X0 @ X3 @ X4)))),
% 0.23/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/lists/APPEND_1')).
% 0.23/0.48 thf(f179,plain,(
% 0.23/0.48 ($true = (!! @ 'type/ind_types/list' @ sK0 @ (^[Y0 : 'type/ind_types/list' @ sK0]: (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ Y0 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ Y0 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)))))) | (((('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ sK13 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ sK13 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))) => (('const/ind_types/CONS' @ sK0 @ sK14 @ ('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ sK13 @ sK2) @ sK3)) = ('const/lists/APPEND' @ sK0 @ ('const/ind_types/CONS' @ sK0 @ sK14 @ sK13) @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)))) = $false)),
% 0.23/0.48 inference(forward_demodulation,[],[f178,f43])).
% 0.23/0.48 thf(f178,plain,(
% 0.23/0.48 ($true = (!! @ 'type/ind_types/list' @ sK0 @ (^[Y0 : 'type/ind_types/list' @ sK0]: (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ Y0 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ Y0 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)))))) | (((('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ sK13 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ sK13 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))) => (('const/lists/APPEND' @ sK0 @ ('const/ind_types/CONS' @ sK0 @ sK14 @ ('const/lists/APPEND' @ sK0 @ sK13 @ sK2)) @ sK3) = ('const/lists/APPEND' @ sK0 @ ('const/ind_types/CONS' @ sK0 @ sK14 @ sK13) @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)))) = $false)),
% 0.23/0.48 inference(forward_demodulation,[],[f177,f43])).
% 0.23/0.48 thf(f177,plain,(
% 0.23/0.48 ($true = (!! @ 'type/ind_types/list' @ sK0 @ (^[Y0 : 'type/ind_types/list' @ sK0]: (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ Y0 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ Y0 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)))))) | (((('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ sK13 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ sK13 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))) => (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ ('const/ind_types/CONS' @ sK0 @ sK14 @ sK13) @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ ('const/ind_types/CONS' @ sK0 @ sK14 @ sK13) @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)))) = $false)),
% 0.23/0.48 inference(beta_eta_normalization,[],[f176])).
% 0.23/0.48 thf(f176,plain,(
% 0.23/0.48 (((^[Y0 : sK0]: ((('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ sK13 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ sK13 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))) => (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ ('const/ind_types/CONS' @ sK0 @ Y0 @ sK13) @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ ('const/ind_types/CONS' @ sK0 @ Y0 @ sK13) @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))))) @ sK14) = $false) | ($true = (!! @ 'type/ind_types/list' @ sK0 @ (^[Y0 : 'type/ind_types/list' @ sK0]: (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ Y0 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ Y0 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))))))),
% 0.23/0.48 inference(sigma_clausification,[],[f175])).
% 0.23/0.48 thf(f175,plain,(
% 0.23/0.48 ((!! @ sK0 @ (^[Y0 : sK0]: ((('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ sK13 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ sK13 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))) => (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ ('const/ind_types/CONS' @ sK0 @ Y0 @ sK13) @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ ('const/ind_types/CONS' @ sK0 @ Y0 @ sK13) @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)))))) = $false) | ($true = (!! @ 'type/ind_types/list' @ sK0 @ (^[Y0 : 'type/ind_types/list' @ sK0]: (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ Y0 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ Y0 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))))))),
% 0.23/0.48 inference(beta_eta_normalization,[],[f174])).
% 0.23/0.48 thf(f174,plain,(
% 0.23/0.48 (((^[Y0 : 'type/ind_types/list' @ sK0]: (!! @ sK0 @ (^[Y1 : sK0]: ((('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ Y0 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ Y0 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))) => (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ ('const/ind_types/CONS' @ sK0 @ Y1 @ Y0) @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ ('const/ind_types/CONS' @ sK0 @ Y1 @ Y0) @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))))))) @ sK13) = $false) | ($true = (!! @ 'type/ind_types/list' @ sK0 @ (^[Y0 : 'type/ind_types/list' @ sK0]: (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ Y0 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ Y0 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))))))),
% 0.23/0.48 inference(sigma_clausification,[],[f173])).
% 0.23/0.48 thf(f173,plain,(
% 0.23/0.48 ($false = (!! @ 'type/ind_types/list' @ sK0 @ (^[Y0 : 'type/ind_types/list' @ sK0]: (!! @ sK0 @ (^[Y1 : sK0]: ((('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ Y0 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ Y0 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))) => (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ ('const/ind_types/CONS' @ sK0 @ Y1 @ Y0) @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ ('const/ind_types/CONS' @ sK0 @ Y1 @ Y0) @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))))))))) | ($true = (!! @ 'type/ind_types/list' @ sK0 @ (^[Y0 : 'type/ind_types/list' @ sK0]: (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ Y0 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ Y0 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))))))),
% 0.23/0.48 inference(binary_proxy_clausification,[],[f172])).
% 0.23/0.48 thf(f172,plain,(
% 0.23/0.48 (((!! @ 'type/ind_types/list' @ sK0 @ (^[Y0 : 'type/ind_types/list' @ sK0]: (!! @ sK0 @ (^[Y1 : sK0]: ((('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ Y0 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ Y0 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))) => (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ ('const/ind_types/CONS' @ sK0 @ Y1 @ Y0) @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ ('const/ind_types/CONS' @ sK0 @ Y1 @ Y0) @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)))))))) => (!! @ 'type/ind_types/list' @ sK0 @ (^[Y0 : 'type/ind_types/list' @ sK0]: (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ Y0 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ Y0 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)))))) = $true)),
% 0.23/0.48 inference(boolean_simplification,[],[f171])).
% 0.23/0.48 thf(f171,plain,(
% 0.23/0.48 ((($true & (!! @ 'type/ind_types/list' @ sK0 @ (^[Y0 : 'type/ind_types/list' @ sK0]: (!! @ sK0 @ (^[Y1 : sK0]: ((('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ Y0 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ Y0 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))) => (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ ('const/ind_types/CONS' @ sK0 @ Y1 @ Y0) @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ ('const/ind_types/CONS' @ sK0 @ Y1 @ Y0) @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))))))))) => (!! @ 'type/ind_types/list' @ sK0 @ (^[Y0 : 'type/ind_types/list' @ sK0]: (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ Y0 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ Y0 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)))))) = $true)),
% 0.23/0.48 inference(boolean_simplification,[],[f170])).
% 0.23/0.48 thf(f170,plain,(
% 0.23/0.48 ((((('const/lists/APPEND' @ sK0 @ sK2 @ sK3) = ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)) & (!! @ 'type/ind_types/list' @ sK0 @ (^[Y0 : 'type/ind_types/list' @ sK0]: (!! @ sK0 @ (^[Y1 : sK0]: ((('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ Y0 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ Y0 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))) => (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ ('const/ind_types/CONS' @ sK0 @ Y1 @ Y0) @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ ('const/ind_types/CONS' @ sK0 @ Y1 @ Y0) @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))))))))) => (!! @ 'type/ind_types/list' @ sK0 @ (^[Y0 : 'type/ind_types/list' @ sK0]: (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ Y0 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ Y0 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)))))) = $true)),
% 0.23/0.48 inference(forward_demodulation,[],[f169,f27])).
% 0.23/0.48 thf(f27,plain,(
% 0.23/0.48 ( ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : ((('const/lists/APPEND' @ X0 @ 'const/ind_types/NIL' @ X0 @ X1) = X1)) )),
% 0.23/0.48 inference(equality_proxy_clausification,[],[f26])).
% 0.23/0.48 thf(f26,plain,(
% 0.23/0.48 ( ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : (($true = (('const/lists/APPEND' @ X0 @ 'const/ind_types/NIL' @ X0 @ X1) = X1))) )),
% 0.23/0.48 inference(beta_eta_normalization,[],[f25])).
% 0.23/0.48 thf(f25,plain,(
% 0.23/0.48 ( ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : (($true = ((^[Y0 : 'type/ind_types/list' @ X0]: (('const/lists/APPEND' @ X0 @ 'const/ind_types/NIL' @ X0 @ Y0) = Y0)) @ X1))) )),
% 0.23/0.48 inference(pi_clausification,[],[f20])).
% 0.23/0.48 thf(f20,plain,(
% 0.23/0.48 ( ! [X0 : $tType] : (((!! @ 'type/ind_types/list' @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (('const/lists/APPEND' @ X0 @ 'const/ind_types/NIL' @ X0 @ Y0) = Y0))) = $true)) )),
% 0.23/0.48 inference(cnf_transformation,[],[f13])).
% 0.23/0.48 thf(f13,plain,(
% 0.23/0.48 ! [X0 : $tType] : ((!! @ 'type/ind_types/list' @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (('const/lists/APPEND' @ X0 @ 'const/ind_types/NIL' @ X0 @ Y0) = Y0))) = $true)),
% 0.23/0.48 inference(closure,[],[f8])).
% 0.23/0.48 thf(f8,plain,(
% 0.23/0.48 ( ! [X0 : $tType] : (((!! @ 'type/ind_types/list' @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (('const/lists/APPEND' @ X0 @ 'const/ind_types/NIL' @ X0 @ Y0) = Y0))) = $true)) )),
% 0.23/0.48 inference(fool_elimination,[],[f7])).
% 0.23/0.48 thf(f7,plain,(
% 0.23/0.48 ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : (('const/lists/APPEND' @ X0 @ 'const/ind_types/NIL' @ X0 @ X1) = X1)),
% 0.23/0.48 inference(rectify,[],[f3])).
% 0.23/0.48 thf(f3,axiom,(
% 0.23/0.48 ! [X0 : $tType,X2 : 'type/ind_types/list' @ X0] : (('const/lists/APPEND' @ X0 @ 'const/ind_types/NIL' @ X0 @ X2) = X2)),
% 0.23/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/lists/APPEND_0')).
% 0.23/0.48 thf(f169,plain,(
% 0.23/0.48 ((((('const/lists/APPEND' @ sK0 @ sK2 @ sK3) = ('const/lists/APPEND' @ sK0 @ 'const/ind_types/NIL' @ sK0 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))) & (!! @ 'type/ind_types/list' @ sK0 @ (^[Y0 : 'type/ind_types/list' @ sK0]: (!! @ sK0 @ (^[Y1 : sK0]: ((('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ Y0 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ Y0 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))) => (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ ('const/ind_types/CONS' @ sK0 @ Y1 @ Y0) @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ ('const/ind_types/CONS' @ sK0 @ Y1 @ Y0) @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))))))))) => (!! @ 'type/ind_types/list' @ sK0 @ (^[Y0 : 'type/ind_types/list' @ sK0]: (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ Y0 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ Y0 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)))))) = $true)),
% 0.23/0.48 inference(forward_demodulation,[],[f55,f27])).
% 0.23/0.48 thf(f55,plain,(
% 0.23/0.48 ((((('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ 'const/ind_types/NIL' @ sK0 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ 'const/ind_types/NIL' @ sK0 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))) & (!! @ 'type/ind_types/list' @ sK0 @ (^[Y0 : 'type/ind_types/list' @ sK0]: (!! @ sK0 @ (^[Y1 : sK0]: ((('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ Y0 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ Y0 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))) => (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ ('const/ind_types/CONS' @ sK0 @ Y1 @ Y0) @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ ('const/ind_types/CONS' @ sK0 @ Y1 @ Y0) @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))))))))) => (!! @ 'type/ind_types/list' @ sK0 @ (^[Y0 : 'type/ind_types/list' @ sK0]: (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ Y0 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ Y0 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)))))) = $true)),
% 0.23/0.48 inference(beta_eta_normalization,[],[f51])).
% 0.23/0.48 thf(f51,plain,(
% 0.23/0.48 ($true = ((^[Y0 : 'type/ind_types/list' @ sK0 > $o]: (((Y0 @ 'const/ind_types/NIL' @ sK0) & (!! @ 'type/ind_types/list' @ sK0 @ (^[Y1 : 'type/ind_types/list' @ sK0]: (!! @ sK0 @ (^[Y2 : sK0]: ((Y0 @ Y1) => (Y0 @ ('const/ind_types/CONS' @ sK0 @ Y2 @ Y1)))))))) => (!! @ 'type/ind_types/list' @ sK0 @ Y0))) @ (^[Y0 : 'type/ind_types/list' @ sK0]: (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ Y0 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ Y0 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))))))),
% 0.23/0.48 inference(heuristic_instantiation,[],[f24])).
% 0.23/0.48 thf(f24,plain,(
% 0.23/0.48 ( ! [X0 : $tType] : (((!! @ ('type/ind_types/list' @ X0 > $o) @ (^[Y0 : 'type/ind_types/list' @ X0 > $o]: (((Y0 @ 'const/ind_types/NIL' @ X0) & (!! @ 'type/ind_types/list' @ X0 @ (^[Y1 : 'type/ind_types/list' @ X0]: (!! @ X0 @ (^[Y2 : X0]: ((Y0 @ Y1) => (Y0 @ ('const/ind_types/CONS' @ X0 @ Y2 @ Y1)))))))) => (!! @ 'type/ind_types/list' @ X0 @ Y0)))) = $true)) )),
% 0.23/0.48 inference(beta_eta_normalization,[],[f21])).
% 0.23/0.48 thf(f21,plain,(
% 0.23/0.48 ( ! [X0 : $tType] : (((!! @ ('type/ind_types/list' @ X0 > $o) @ (^[Y0 : 'type/ind_types/list' @ X0 > $o]: (((Y0 @ 'const/ind_types/NIL' @ X0) & (!! @ 'type/ind_types/list' @ X0 @ (^[Y1 : 'type/ind_types/list' @ X0]: (!! @ X0 @ (^[Y2 : X0]: ((Y0 @ Y1) => (Y0 @ ('const/ind_types/CONS' @ X0 @ Y2 @ Y1)))))))) => (!! @ 'type/ind_types/list' @ X0 @ (^[Y1 : 'type/ind_types/list' @ X0]: (Y0 @ Y1)))))) = $true)) )),
% 0.23/0.48 inference(cnf_transformation,[],[f15])).
% 0.23/0.48 thf(f15,plain,(
% 0.23/0.48 ! [X0 : $tType] : ((!! @ ('type/ind_types/list' @ X0 > $o) @ (^[Y0 : 'type/ind_types/list' @ X0 > $o]: (((Y0 @ 'const/ind_types/NIL' @ X0) & (!! @ 'type/ind_types/list' @ X0 @ (^[Y1 : 'type/ind_types/list' @ X0]: (!! @ X0 @ (^[Y2 : X0]: ((Y0 @ Y1) => (Y0 @ ('const/ind_types/CONS' @ X0 @ Y2 @ Y1)))))))) => (!! @ 'type/ind_types/list' @ X0 @ (^[Y1 : 'type/ind_types/list' @ X0]: (Y0 @ Y1)))))) = $true)),
% 0.23/0.48 inference(closure,[],[f12])).
% 0.23/0.48 thf(f12,plain,(
% 0.23/0.48 ( ! [X0 : $tType] : (((!! @ ('type/ind_types/list' @ X0 > $o) @ (^[Y0 : 'type/ind_types/list' @ X0 > $o]: (((Y0 @ 'const/ind_types/NIL' @ X0) & (!! @ 'type/ind_types/list' @ X0 @ (^[Y1 : 'type/ind_types/list' @ X0]: (!! @ X0 @ (^[Y2 : X0]: ((Y0 @ Y1) => (Y0 @ ('const/ind_types/CONS' @ X0 @ Y2 @ Y1)))))))) => (!! @ 'type/ind_types/list' @ X0 @ (^[Y1 : 'type/ind_types/list' @ X0]: (Y0 @ Y1)))))) = $true)) )),
% 0.23/0.48 inference(fool_elimination,[],[f11])).
% 0.23/0.48 thf(f11,plain,(
% 0.23/0.48 ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o] : ((! [X2 : X0,X3 : 'type/ind_types/list' @ X0] : ((X1 @ X3) => (X1 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3))) & (X1 @ 'const/ind_types/NIL' @ X0)) => ! [X4 : 'type/ind_types/list' @ X0] : (X1 @ X4))),
% 0.23/0.48 inference(rectify,[],[f1])).
% 0.23/0.48 thf(f1,axiom,(
% 0.23/0.48 ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o] : ((! [X2 : X0,X3 : 'type/ind_types/list' @ X0] : ((X1 @ X3) => (X1 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3))) & (X1 @ 'const/ind_types/NIL' @ X0)) => ! [X2 : 'type/ind_types/list' @ X0] : (X1 @ X2))),
% 0.23/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/ind_types/list_INDUCT_')).
% 0.23/0.48 thf(f193,plain,(
% 0.23/0.48 (('const/ind_types/CONS' @ sK0 @ sK14 @ ('const/lists/APPEND' @ sK0 @ sK13 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))) != ('const/ind_types/CONS' @ sK0 @ sK14 @ ('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ sK13 @ sK2) @ sK3))) | spl4_14),
% 0.23/0.48 inference(avatar_component_clause,[],[f191])).
% 0.23/0.48 thf(f191,plain,(
% 0.23/0.48 spl4_14 <=> (('const/ind_types/CONS' @ sK0 @ sK14 @ ('const/lists/APPEND' @ sK0 @ sK13 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))) = ('const/ind_types/CONS' @ sK0 @ sK14 @ ('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ sK13 @ sK2) @ sK3)))),
% 0.23/0.48 introduced(avatar_definition,[new_symbols(naming,[spl4_14])])).
% 0.23/0.48 thf(f194,plain,(
% 0.23/0.48 spl4_13 | ~spl4_14),
% 0.23/0.48 inference(avatar_split_clause,[],[f186,f191,f188])).
% 0.23/0.48 thf(f186,plain,(
% 0.23/0.48 ( ! [X1 : 'type/ind_types/list' @ sK0] : ((('const/ind_types/CONS' @ sK0 @ sK14 @ ('const/lists/APPEND' @ sK0 @ sK13 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))) != ('const/ind_types/CONS' @ sK0 @ sK14 @ ('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ sK13 @ sK2) @ sK3))) | (('const/lists/APPEND' @ sK0 @ X1 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)) = ('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ X1 @ sK2) @ sK3))) )),
% 0.23/0.48 inference(equality_proxy_clausification,[],[f185])).
% 0.23/0.48 thf(f185,plain,(
% 0.23/0.48 ( ! [X1 : 'type/ind_types/list' @ sK0] : ((('const/ind_types/CONS' @ sK0 @ sK14 @ ('const/lists/APPEND' @ sK0 @ sK13 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))) != ('const/ind_types/CONS' @ sK0 @ sK14 @ ('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ sK13 @ sK2) @ sK3))) | ((('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ X1 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ X1 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))) = $true)) )),
% 0.23/0.48 inference(beta_eta_normalization,[],[f184])).
% 0.23/0.48 thf(f184,plain,(
% 0.23/0.48 ( ! [X1 : 'type/ind_types/list' @ sK0] : ((('const/ind_types/CONS' @ sK0 @ sK14 @ ('const/lists/APPEND' @ sK0 @ sK13 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))) != ('const/ind_types/CONS' @ sK0 @ sK14 @ ('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ sK13 @ sK2) @ sK3))) | (((^[Y0 : 'type/ind_types/list' @ sK0]: (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ Y0 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ Y0 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)))) @ X1) = $true)) )),
% 0.23/0.48 inference(pi_clausification,[],[f183])).
% 0.23/0.48 thf(f183,plain,(
% 0.23/0.48 (('const/ind_types/CONS' @ sK0 @ sK14 @ ('const/lists/APPEND' @ sK0 @ sK13 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))) != ('const/ind_types/CONS' @ sK0 @ sK14 @ ('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ sK13 @ sK2) @ sK3))) | ($true = (!! @ 'type/ind_types/list' @ sK0 @ (^[Y0 : 'type/ind_types/list' @ sK0]: (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ Y0 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ Y0 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))))))),
% 0.23/0.48 inference(equality_proxy_clausification,[],[f181])).
% 0.23/0.48 thf(f181,plain,(
% 0.23/0.48 ((('const/ind_types/CONS' @ sK0 @ sK14 @ ('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ sK13 @ sK2) @ sK3)) = ('const/ind_types/CONS' @ sK0 @ sK14 @ ('const/lists/APPEND' @ sK0 @ sK13 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3)))) = $false) | ($true = (!! @ 'type/ind_types/list' @ sK0 @ (^[Y0 : 'type/ind_types/list' @ sK0]: (('const/lists/APPEND' @ sK0 @ ('const/lists/APPEND' @ sK0 @ Y0 @ sK2) @ sK3) = ('const/lists/APPEND' @ sK0 @ Y0 @ ('const/lists/APPEND' @ sK0 @ sK2 @ sK3))))))),
% 0.23/0.48 inference(binary_proxy_clausification,[],[f180])).
% 0.23/0.48 % SZS output end Proof for theBenchmark
% 0.23/0.48 % (12285)------------------------------
% 0.23/0.48 % (12285)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (12285)Termination reason: Refutation
% 0.23/0.48
% 0.23/0.48 % (12285)Memory used [KB]: 5756
% 0.23/0.48 % (12285)Time elapsed: 0.015 s
% 0.23/0.48 % (12285)Instructions burned: 38 (million)
% 0.23/0.48 % (12285)------------------------------
% 0.23/0.48 % (12285)------------------------------
% 0.23/0.48 % (12250)Success in time 0.097 s
% 0.23/0.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------