TSTP Solution File: DAT148^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT148^1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n015.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 19:49:51 EDT 2024
% Result : Theorem 0.22s 0.49s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : DAT148^1 : TPTP v8.2.0. Released v7.0.0.
% 0.07/0.14 % 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
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 23:13:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 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/sandbox/benchmark/theBenchmark.p
% 0.22/0.40 % (22120)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)
% 0.22/0.40 % (22115)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.40 % (22118)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.40 % (22119)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)
% 0.22/0.40 % (22121)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.40 % (22117)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)
% 0.22/0.41 % (22118)Instruction limit reached!
% 0.22/0.41 % (22118)------------------------------
% 0.22/0.41 % (22118)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (22118)Termination reason: Unknown
% 0.22/0.41 % (22118)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (22118)Memory used [KB]: 1535
% 0.22/0.41 % (22118)Time elapsed: 0.004 s
% 0.22/0.41 % (22118)Instructions burned: 2 (million)
% 0.22/0.41 % (22118)------------------------------
% 0.22/0.41 % (22118)------------------------------
% 0.22/0.41 % (22119)Instruction limit reached!
% 0.22/0.41 % (22119)------------------------------
% 0.22/0.41 % (22119)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (22119)Termination reason: Unknown
% 0.22/0.41 % (22119)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (22119)Memory used [KB]: 1535
% 0.22/0.41 % (22119)Time elapsed: 0.004 s
% 0.22/0.41 % (22119)Instructions burned: 2 (million)
% 0.22/0.41 % (22119)------------------------------
% 0.22/0.41 % (22119)------------------------------
% 0.22/0.41 % (22122)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)
% 0.22/0.41 % (22116)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)
% 0.22/0.41 % (22122)Instruction limit reached!
% 0.22/0.41 % (22122)------------------------------
% 0.22/0.41 % (22122)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (22122)Termination reason: Unknown
% 0.22/0.41 % (22122)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (22122)Memory used [KB]: 1663
% 0.22/0.41 % (22122)Time elapsed: 0.004 s
% 0.22/0.41 % (22122)Instructions burned: 3 (million)
% 0.22/0.41 % (22122)------------------------------
% 0.22/0.41 % (22122)------------------------------
% 0.22/0.41 % (22116)Instruction limit reached!
% 0.22/0.41 % (22116)------------------------------
% 0.22/0.41 % (22116)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (22116)Termination reason: Unknown
% 0.22/0.41 % (22116)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (22116)Memory used [KB]: 1663
% 0.22/0.41 % (22116)Time elapsed: 0.004 s
% 0.22/0.41 % (22116)Instructions burned: 4 (million)
% 0.22/0.41 % (22116)------------------------------
% 0.22/0.41 % (22116)------------------------------
% 0.22/0.42 % (22121)Instruction limit reached!
% 0.22/0.42 % (22121)------------------------------
% 0.22/0.42 % (22121)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (22121)Termination reason: Unknown
% 0.22/0.42 % (22121)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (22121)Memory used [KB]: 1918
% 0.22/0.42 % (22121)Time elapsed: 0.014 s
% 0.22/0.42 % (22121)Instructions burned: 19 (million)
% 0.22/0.42 % (22121)------------------------------
% 0.22/0.42 % (22121)------------------------------
% 0.22/0.42 % (22123)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)
% 0.22/0.42 % (22117)Instruction limit reached!
% 0.22/0.42 % (22117)------------------------------
% 0.22/0.42 % (22117)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (22117)Termination reason: Unknown
% 0.22/0.42 % (22117)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (22117)Memory used [KB]: 2046
% 0.22/0.42 % (22117)Time elapsed: 0.021 s
% 0.22/0.42 % (22117)Instructions burned: 28 (million)
% 0.22/0.42 % (22117)------------------------------
% 0.22/0.42 % (22117)------------------------------
% 0.22/0.42 % (22124)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)
% 0.22/0.43 % (22125)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)
% 0.22/0.43 % (22125)Instruction limit reached!
% 0.22/0.43 % (22125)------------------------------
% 0.22/0.43 % (22125)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (22125)Termination reason: Unknown
% 0.22/0.43 % (22125)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (22125)Memory used [KB]: 1663
% 0.22/0.43 % (22125)Time elapsed: 0.004 s
% 0.22/0.43 % (22125)Instructions burned: 3 (million)
% 0.22/0.43 % (22125)------------------------------
% 0.22/0.43 % (22125)------------------------------
% 0.22/0.43 % (22126)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)
% 0.22/0.43 % (22124)Instruction limit reached!
% 0.22/0.43 % (22124)------------------------------
% 0.22/0.43 % (22124)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (22124)Termination reason: Unknown
% 0.22/0.43 % (22124)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (22124)Memory used [KB]: 1918
% 0.22/0.43 % (22124)Time elapsed: 0.009 s
% 0.22/0.43 % (22124)Instructions burned: 15 (million)
% 0.22/0.43 % (22124)------------------------------
% 0.22/0.43 % (22124)------------------------------
% 0.22/0.43 % (22127)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.44 % (22128)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.44 % (22127)Instruction limit reached!
% 0.22/0.44 % (22127)------------------------------
% 0.22/0.44 % (22127)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (22127)Termination reason: Unknown
% 0.22/0.44 % (22127)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (22127)Memory used [KB]: 1791
% 0.22/0.44 % (22127)Time elapsed: 0.007 s
% 0.22/0.44 % (22127)Instructions burned: 8 (million)
% 0.22/0.44 % (22127)------------------------------
% 0.22/0.44 % (22127)------------------------------
% 0.22/0.44 % (22123)Instruction limit reached!
% 0.22/0.44 % (22123)------------------------------
% 0.22/0.44 % (22123)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (22123)Termination reason: Unknown
% 0.22/0.44 % (22123)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (22123)Memory used [KB]: 2302
% 0.22/0.44 % (22123)Time elapsed: 0.022 s
% 0.22/0.44 % (22123)Instructions burned: 37 (million)
% 0.22/0.44 % (22123)------------------------------
% 0.22/0.44 % (22123)------------------------------
% 0.22/0.44 % (22129)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)
% 0.22/0.44 % (22129)Instruction limit reached!
% 0.22/0.44 % (22129)------------------------------
% 0.22/0.44 % (22129)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (22129)Termination reason: Unknown
% 0.22/0.44 % (22129)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.45 % (22129)Memory used [KB]: 1663
% 0.22/0.45 % (22129)Time elapsed: 0.004 s
% 0.22/0.45 % (22129)Instructions burned: 3 (million)
% 0.22/0.45 % (22129)------------------------------
% 0.22/0.45 % (22129)------------------------------
% 0.22/0.45 % (22130)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)
% 0.22/0.45 % (22130)Instruction limit reached!
% 0.22/0.45 % (22130)------------------------------
% 0.22/0.45 % (22130)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (22130)Termination reason: Unknown
% 0.22/0.45 % (22130)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (22130)Memory used [KB]: 1663
% 0.22/0.45 % (22130)Time elapsed: 0.003 s
% 0.22/0.45 % (22130)Instructions burned: 3 (million)
% 0.22/0.45 % (22130)------------------------------
% 0.22/0.45 % (22130)------------------------------
% 0.22/0.45 % (22128)Instruction limit reached!
% 0.22/0.45 % (22128)------------------------------
% 0.22/0.45 % (22128)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (22128)Termination reason: Unknown
% 0.22/0.45 % (22128)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (22128)Memory used [KB]: 1918
% 0.22/0.45 % (22128)Time elapsed: 0.012 s
% 0.22/0.45 % (22128)Instructions burned: 16 (million)
% 0.22/0.45 % (22128)------------------------------
% 0.22/0.45 % (22128)------------------------------
% 0.22/0.45 % (22131)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)
% 0.22/0.46 % (22132)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)
% 0.22/0.46 % (22131)Instruction limit reached!
% 0.22/0.46 % (22131)------------------------------
% 0.22/0.46 % (22131)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (22131)Termination reason: Unknown
% 0.22/0.46 % (22131)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (22131)Memory used [KB]: 1791
% 0.22/0.46 % (22131)Time elapsed: 0.006 s
% 0.22/0.46 % (22131)Instructions burned: 7 (million)
% 0.22/0.46 % (22131)------------------------------
% 0.22/0.46 % (22131)------------------------------
% 0.22/0.46 % (22132)Instruction limit reached!
% 0.22/0.46 % (22132)------------------------------
% 0.22/0.46 % (22132)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (22132)Termination reason: Unknown
% 0.22/0.46 % (22132)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (22132)Memory used [KB]: 1663
% 0.22/0.46 % (22132)Time elapsed: 0.004 s
% 0.22/0.46 % (22132)Instructions burned: 4 (million)
% 0.22/0.46 % (22132)------------------------------
% 0.22/0.46 % (22132)------------------------------
% 0.22/0.46 % (22133)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.46 % (22134)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)
% 0.22/0.46 % (22135)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.46 % (22133)Instruction limit reached!
% 0.22/0.46 % (22133)------------------------------
% 0.22/0.46 % (22133)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (22133)Termination reason: Unknown
% 0.22/0.46 % (22133)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (22133)Memory used [KB]: 1663
% 0.22/0.46 % (22133)Time elapsed: 0.005 s
% 0.22/0.46 % (22133)Instructions burned: 5 (million)
% 0.22/0.46 % (22133)------------------------------
% 0.22/0.46 % (22133)------------------------------
% 0.22/0.47 % (22134)Instruction limit reached!
% 0.22/0.47 % (22134)------------------------------
% 0.22/0.47 % (22134)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (22134)Termination reason: Unknown
% 0.22/0.47 % (22134)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (22134)Memory used [KB]: 1918
% 0.22/0.47 % (22134)Time elapsed: 0.010 s
% 0.22/0.47 % (22134)Instructions burned: 18 (million)
% 0.22/0.47 % (22134)------------------------------
% 0.22/0.47 % (22134)------------------------------
% 0.22/0.47 % (22136)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.47 % (22137)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)
% 0.22/0.47 % (22136)Instruction limit reached!
% 0.22/0.47 % (22136)------------------------------
% 0.22/0.47 % (22136)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (22136)Termination reason: Unknown
% 0.22/0.47 % (22136)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (22136)Memory used [KB]: 1791
% 0.22/0.47 % (22136)Time elapsed: 0.005 s
% 0.22/0.47 % (22136)Instructions burned: 7 (million)
% 0.22/0.47 % (22136)------------------------------
% 0.22/0.47 % (22136)------------------------------
% 0.22/0.48 % (22138)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)
% 0.22/0.48 % (22139)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.48 % (22139)Instruction limit reached!
% 0.22/0.48 % (22139)------------------------------
% 0.22/0.48 % (22139)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (22139)Termination reason: Unknown
% 0.22/0.48 % (22139)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (22139)Memory used [KB]: 1663
% 0.22/0.48 % (22139)Time elapsed: 0.004 s
% 0.22/0.48 % (22139)Instructions burned: 5 (million)
% 0.22/0.48 % (22139)------------------------------
% 0.22/0.48 % (22139)------------------------------
% 0.22/0.48 % (22120)First to succeed.
% 0.22/0.48 % (22140)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)
% 0.22/0.49 % (22140)Instruction limit reached!
% 0.22/0.49 % (22140)------------------------------
% 0.22/0.49 % (22140)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (22140)Termination reason: Unknown
% 0.22/0.49 % (22140)Termination phase: shuffling
% 0.22/0.49
% 0.22/0.49 % (22140)Memory used [KB]: 1791
% 0.22/0.49 % (22140)Time elapsed: 0.004 s
% 0.22/0.49 % (22140)Instructions burned: 9 (million)
% 0.22/0.49 % (22140)------------------------------
% 0.22/0.49 % (22140)------------------------------
% 0.22/0.49 % (22120)Refutation found. Thanks to Tanya!
% 0.22/0.49 % SZS status Theorem for theBenchmark
% 0.22/0.49 % SZS output start Proof for theBenchmark
% 0.22/0.49 thf(type_def_6, type, coinductive_llist: ($tType) > $tType).
% 0.22/0.49 thf(type_def_7, type, stream: ($tType) > $tType).
% 0.22/0.49 thf(type_def_8, type, itself: ($tType) > $tType).
% 0.22/0.49 thf(type_def_9, type, set: ($tType) > $tType).
% 0.22/0.49 thf(type_def_10, type, a: $tType).
% 0.22/0.49 thf(type_def_11, type, b: $tType).
% 0.22/0.49 thf(func_def_0, type, coinductive_llist: ($tType) > $tType).
% 0.22/0.49 thf(func_def_1, type, stream: ($tType) > $tType).
% 0.22/0.49 thf(func_def_2, type, set: ($tType) > $tType).
% 0.22/0.49 thf(func_def_3, type, itself: ($tType) > $tType).
% 0.22/0.49 thf(func_def_4, type, b: $tType).
% 0.22/0.49 thf(func_def_5, type, a: $tType).
% 0.22/0.49 thf(func_def_6, type, bNF_rel_fun: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X0 > X1 > $o) > (X2 > X3 > $o) > (X0 > X2) > (X1 > X3) > $o)).
% 0.22/0.49 thf(func_def_7, type, basic_pred_fun: !>[X0: $tType, X1: $tType]:((X0 > $o) > (X1 > $o) > (X0 > X1) > $o)).
% 0.22/0.49 thf(func_def_8, type, coinductive_iterates: !>[X0: $tType]:((X0 > X0) > X0 > coinductive_llist @ X0)).
% 0.22/0.49 thf(func_def_9, type, coinductive_lfinite: !>[X0: $tType]:(coinductive_llist @ X0 > $o)).
% 0.22/0.49 thf(func_def_10, type, coindu1381640503_llist: !>[X0: $tType, X1: $tType]:(X0 > (X1 > coinductive_llist @ X1 > X0) > coinductive_llist @ X1 > X0)).
% 0.22/0.49 thf(func_def_11, type, coindu1259883913_llist: !>[X0: $tType, X1: $tType]:((X0 > $o) > (X0 > X1) > (X0 > $o) > (X0 > coinductive_llist @ X1) > (X0 > X0) > X0 > coinductive_llist @ X1)).
% 0.22/0.49 thf(func_def_12, type, coindu1486289336t_all2: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o) > coinductive_llist @ X0 > coinductive_llist @ X1 > $o)).
% 0.22/0.49 thf(func_def_13, type, coindu543516966_llist: !>[X0: $tType]:((X0 > $o) > coinductive_llist @ X0 > $o)).
% 0.22/0.49 thf(func_def_14, type, coindu1441602521_llist: !>[X0: $tType, X1: $tType]:((X0 > $o) > (X0 > X1) > (X0 > X0) > X0 > coinductive_llist @ X1)).
% 0.22/0.49 thf(func_def_15, type, coindu1724414836stream: !>[X0: $tType]:(stream @ X0 > coinductive_llist @ X0)).
% 0.22/0.49 thf(func_def_16, type, coindu1183105481stream: !>[X0: $tType]:(coinductive_llist @ X0 > stream @ X0 > $o)).
% 0.22/0.49 thf(func_def_17, type, coindu773941317stream: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o) > coinductive_llist @ X0 > stream @ X1 > $o)).
% 0.22/0.49 thf(func_def_18, type, coindu2010755910_llist: !>[X0: $tType]:(coinductive_llist @ X0 > stream @ X0)).
% 0.22/0.49 thf(func_def_19, type, coindu139217191stream: !>[X0: $tType, X1: $tType]:((X0 > X1) > (X0 > X0) > X0 > stream @ X1)).
% 0.22/0.49 thf(func_def_20, type, comple1396247847notone: !>[X0: $tType, X1: $tType]:((X0 > X0 > $o) > (X1 > X1 > $o) > (X0 > X1) > $o)).
% 0.22/0.49 thf(func_def_21, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1) > (X2 > X0) > X2 > X1)).
% 0.22/0.49 thf(func_def_22, type, map_fun: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X0 > X1) > (X2 > X3) > (X1 > X2) > X0 > X3)).
% 0.22/0.49 thf(func_def_23, type, if: !>[X0: $tType]:($o > X0 > X0 > X0)).
% 0.22/0.49 thf(func_def_24, type, inf_inf: !>[X0: $tType]:(X0 > X0 > X0)).
% 0.22/0.49 thf(func_def_25, type, rel_pred_comp: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o) > (X1 > $o) > X0 > $o)).
% 0.22/0.49 thf(func_def_26, type, ord_less_eq: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.22/0.49 thf(func_def_27, type, partial_fun_ord: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > $o) > (X2 > X0) > (X2 > X1) > $o)).
% 0.22/0.49 thf(func_def_28, type, partial_img_ord: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1) > (X1 > X1 > X2) > X0 > X0 > X2)).
% 0.22/0.49 thf(func_def_29, type, partial_mk_less: !>[X0: $tType]:((X0 > X0 > $o) > X0 > X0 > $o)).
% 0.22/0.49 thf(func_def_30, type, type: !>[X0: $tType]:(itself @ X0)).
% 0.22/0.49 thf(func_def_31, type, bex1_rel: !>[X0: $tType]:((X0 > X0 > $o) > (X0 > $o) > $o)).
% 0.22/0.49 thf(func_def_32, type, quotient3: !>[X0: $tType, X1: $tType]:((X0 > X0 > $o) > (X0 > X1) > (X1 > X0) > $o)).
% 0.22/0.49 thf(func_def_33, type, domainp: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o) > X0 > $o)).
% 0.22/0.49 thf(func_def_34, type, powp: !>[X0: $tType]:((X0 > $o) > set @ X0 > $o)).
% 0.22/0.49 thf(func_def_35, type, reflp: !>[X0: $tType]:((X0 > X0 > $o) > $o)).
% 0.22/0.49 thf(func_def_36, type, relcompp: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > $o) > (X1 > X2 > $o) > X0 > X2 > $o)).
% 0.22/0.49 thf(func_def_37, type, ball: !>[X0: $tType]:(set @ X0 > (X0 > $o) > $o)).
% 0.22/0.49 thf(func_def_38, type, bex: !>[X0: $tType]:(set @ X0 > (X0 > $o) > $o)).
% 0.22/0.49 thf(func_def_39, type, collect: !>[X0: $tType]:((X0 > $o) > set @ X0)).
% 0.22/0.49 thf(func_def_40, type, siterate: !>[X0: $tType]:((X0 > X0) > X0 > stream @ X0)).
% 0.22/0.49 thf(func_def_41, type, case_stream: !>[X0: $tType, X1: $tType]:((X0 > stream @ X0 > X1) > stream @ X0 > X1)).
% 0.22/0.49 thf(func_def_42, type, corec_stream: !>[X0: $tType, X1: $tType]:((X0 > X1) > (X0 > $o) > (X0 > stream @ X1) > (X0 > X0) > X0 > stream @ X1)).
% 0.22/0.49 thf(func_def_43, type, pred_stream: !>[X0: $tType]:((X0 > $o) > stream @ X0 > $o)).
% 0.22/0.49 thf(func_def_44, type, stream_all2: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o) > stream @ X0 > stream @ X1 > $o)).
% 0.22/0.49 thf(func_def_45, type, bi_total: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o) > $o)).
% 0.22/0.49 thf(func_def_46, type, left_total: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o) > $o)).
% 0.22/0.49 thf(func_def_47, type, rev_implies: $o > $o > $o).
% 0.22/0.49 thf(func_def_48, type, right_total: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o) > $o)).
% 0.22/0.49 thf(func_def_49, type, transfer_bforall: !>[X0: $tType]:((X0 > $o) > (X0 > $o) > $o)).
% 0.22/0.49 thf(func_def_50, type, transfer_forall: !>[X0: $tType]:((X0 > $o) > $o)).
% 0.22/0.49 thf(func_def_51, type, type_definition: !>[X0: $tType, X1: $tType]:((X0 > X1) > (X1 > X0) > set @ X1 > $o)).
% 0.22/0.49 thf(func_def_52, type, member: !>[X0: $tType]:(X0 > set @ X0 > $o)).
% 0.22/0.49 thf(func_def_53, type, xb: a > coinductive_llist @ b).
% 0.22/0.49 thf(func_def_54, type, yb: a > stream @ b).
% 0.22/0.49 thf(func_def_72, type, sK0: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > X1)).
% 0.22/0.49 thf(func_def_73, type, sK1: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X3 > X2) > (X0 > X1) > (X1 > X2 > $o) > (X0 > X3 > $o) > X0)).
% 0.22/0.49 thf(func_def_74, type, sK2: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X3 > X2) > (X0 > X1) > (X1 > X2 > $o) > (X0 > X3 > $o) > X3)).
% 0.22/0.49 thf(func_def_75, type, sK3: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o) > (X0 > X1 > $o) > X0)).
% 0.22/0.49 thf(func_def_76, type, sK4: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o) > (X0 > X1 > $o) > X1)).
% 0.22/0.49 thf(func_def_77, type, sK5: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o) > (X0 > X1 > $o) > X0)).
% 0.22/0.49 thf(func_def_78, type, sK6: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o) > (X0 > X1 > $o) > X1)).
% 0.22/0.49 thf(func_def_79, type, sK7: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 0.22/0.49 thf(func_def_80, type, sK8: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o) > (X0 > X1 > $o) > X0)).
% 0.22/0.49 thf(func_def_81, type, sK9: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o) > (X0 > X1 > $o) > X1)).
% 0.22/0.49 thf(func_def_82, type, sK10: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o) > (X0 > X1 > $o) > X0)).
% 0.22/0.49 thf(func_def_83, type, sK11: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o) > (X0 > X1 > $o) > X1)).
% 0.22/0.49 thf(func_def_84, type, sK12: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((X0 > X3 > X4) > (X5 > X2 > X1) > (X1 > X4 > $o) > (X2 > X3 > $o) > (X5 > X0 > $o) > X5)).
% 0.22/0.49 thf(func_def_85, type, sK13: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((X0 > X3 > X4) > (X5 > X2 > X1) > (X1 > X4 > $o) > (X2 > X3 > $o) > (X5 > X0 > $o) > X0)).
% 0.22/0.49 thf(func_def_87, type, ph15: !>[X0: $tType]:(X0)).
% 0.22/0.49 thf(func_def_88, type, sK16: a).
% 0.22/0.49 thf(f901,plain,(
% 0.22/0.49 $false),
% 0.22/0.49 inference(subsumption_resolution,[],[f898,f866])).
% 0.22/0.49 thf(f866,plain,(
% 0.22/0.49 ( ! [X0 : a] : (((xb @ X0) = (coindu1724414836stream @ b @ (yb @ X0)))) )),
% 0.22/0.49 inference(equality_proxy_clausification,[],[f865])).
% 0.22/0.49 thf(f865,plain,(
% 0.22/0.49 ( ! [X0 : a] : (($true = ((coindu1724414836stream @ b @ (yb @ X0)) = (xb @ X0)))) )),
% 0.22/0.49 inference(trivial_inequality_removal,[],[f864])).
% 0.22/0.49 thf(f864,plain,(
% 0.22/0.49 ( ! [X0 : a] : (($true != $true) | ($true = ((coindu1724414836stream @ b @ (yb @ X0)) = (xb @ X0)))) )),
% 0.22/0.49 inference(boolean_simplification,[],[f863])).
% 0.22/0.49 thf(f863,plain,(
% 0.22/0.49 ( ! [X0 : a] : (($true != (X0 = X0)) | ($true = ((coindu1724414836stream @ b @ (yb @ X0)) = (xb @ X0)))) )),
% 0.22/0.49 inference(beta_eta_normalization,[],[f862])).
% 0.22/0.49 thf(f862,plain,(
% 0.22/0.49 ( ! [X0 : a] : (($true = ((^[Y0 : coinductive_llist @ b]: ((^[Y1 : stream @ b]: ((coindu1724414836stream @ b @ Y1) = Y0)))) @ (xb @ X0) @ (yb @ X0))) | ($true != (X0 = X0))) )),
% 0.22/0.49 inference(trivial_inequality_removal,[],[f858])).
% 0.22/0.49 thf(f858,plain,(
% 0.22/0.49 ( ! [X0 : a] : (($true != (X0 = X0)) | ($true != $true) | ($true = ((^[Y0 : coinductive_llist @ b]: ((^[Y1 : stream @ b]: ((coindu1724414836stream @ b @ Y1) = Y0)))) @ (xb @ X0) @ (yb @ X0)))) )),
% 0.22/0.49 inference(superposition,[],[f807,f856])).
% 0.22/0.49 thf(f856,plain,(
% 0.22/0.49 ($true = (bNF_rel_fun @ a @ a @ coinductive_llist @ b @ stream @ b @ = @ (^[Y0 : coinductive_llist @ b]: ((^[Y1 : stream @ b]: ((coindu1724414836stream @ b @ Y1) = Y0)))) @ xb @ yb))),
% 0.22/0.49 inference(beta_eta_normalization,[],[f820])).
% 0.22/0.49 thf(f820,plain,(
% 0.22/0.49 ($true = (bNF_rel_fun @ a @ a @ coinductive_llist @ b @ stream @ b @ (^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ (^[Y0 : coinductive_llist @ b]: ((^[Y1 : stream @ b]: ((coindu1724414836stream @ b @ Y1) = Y0)))) @ xb @ yb))),
% 0.22/0.49 inference(cnf_transformation,[],[f341])).
% 0.22/0.49 thf(f341,plain,(
% 0.22/0.49 ($true = (bNF_rel_fun @ a @ a @ coinductive_llist @ b @ stream @ b @ (^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ (^[Y0 : coinductive_llist @ b]: ((^[Y1 : stream @ b]: ((coindu1724414836stream @ b @ Y1) = Y0)))) @ xb @ yb))),
% 0.22/0.49 inference(fool_elimination,[],[f340])).
% 0.22/0.49 thf(f340,plain,(
% 0.22/0.49 (bNF_rel_fun @ a @ a @ coinductive_llist @ b @ stream @ b @ (^[X0 : a, X1 : a] : ((X0 = X1))) @ (^[X2 : coinductive_llist @ b, X3 : stream @ b] : (((coindu1724414836stream @ b @ X3) = X2))) @ xb @ yb)),
% 0.22/0.49 inference(rectify,[],[f260])).
% 0.22/0.49 thf(f260,axiom,(
% 0.22/0.49 (bNF_rel_fun @ a @ a @ coinductive_llist @ b @ stream @ b @ (^[X16 : a, X17 : a] : ((X16 = X17))) @ (^[X8 : coinductive_llist @ b, X18 : stream @ b] : (((coindu1724414836stream @ b @ X18) = X8))) @ xb @ yb)),
% 0.22/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.22/0.49 thf(f807,plain,(
% 0.22/0.49 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X2 > X2 > $o,X6 : X2 > X1,X7 : X2,X4 : X0 > X1 > $o,X5 : X2 > X0] : (((bNF_rel_fun @ X2 @ X2 @ X0 @ X1 @ X3 @ X4 @ X5 @ X6) != $true) | ($true != (X3 @ X7 @ X7)) | ($true = (X4 @ (X5 @ X7) @ (X6 @ X7)))) )),
% 0.22/0.49 inference(cnf_transformation,[],[f768])).
% 0.22/0.49 thf(f768,plain,(
% 0.22/0.49 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : X2 > X2 > $o,X4 : X0 > X1 > $o,X5 : X2 > X0,X6 : X2 > X1,X7 : X2] : (((bNF_rel_fun @ X2 @ X2 @ X0 @ X1 @ X3 @ X4 @ X5 @ X6) != $true) | ($true = (X4 @ (X5 @ X7) @ (X6 @ X7))) | ($true != (X3 @ X7 @ X7)))),
% 0.22/0.49 inference(flattening,[],[f767])).
% 0.22/0.49 thf(f767,plain,(
% 0.22/0.49 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : X2 > X2 > $o,X4 : X0 > X1 > $o,X5 : X2 > X0,X6 : X2 > X1,X7 : X2] : ((($true = (X4 @ (X5 @ X7) @ (X6 @ X7))) | ($true != (X3 @ X7 @ X7))) | ((bNF_rel_fun @ X2 @ X2 @ X0 @ X1 @ X3 @ X4 @ X5 @ X6) != $true))),
% 0.22/0.49 inference(ennf_transformation,[],[f389])).
% 0.22/0.49 thf(f389,plain,(
% 0.22/0.49 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : X2 > X2 > $o,X4 : X0 > X1 > $o,X5 : X2 > X0,X6 : X2 > X1,X7 : X2] : (((bNF_rel_fun @ X2 @ X2 @ X0 @ X1 @ X3 @ X4 @ X5 @ X6) = $true) => (($true = (X3 @ X7 @ X7)) => ($true = (X4 @ (X5 @ X7) @ (X6 @ X7)))))),
% 0.22/0.49 inference(fool_elimination,[],[f388])).
% 0.22/0.49 thf(f388,plain,(
% 0.22/0.49 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : X2 > X2 > $o,X4 : X0 > X1 > $o,X5 : X2 > X0,X6 : X2 > X1,X7 : X2] : ((bNF_rel_fun @ X2 @ X2 @ X0 @ X1 @ X3 @ X4 @ X5 @ X6) => ((X3 @ X7 @ X7) => (X4 @ (X5 @ X7) @ (X6 @ X7))))),
% 0.22/0.49 inference(rectify,[],[f38])).
% 0.22/0.49 thf(f38,axiom,(
% 0.22/0.49 ! [X2 : $tType,X1 : $tType,X0 : $tType,X9 : X0 > X0 > $o,X10 : X2 > X1 > $o,X11 : X0 > X2,X12 : X0 > X1,X4 : X0] : ((bNF_rel_fun @ X0 @ X0 @ X2 @ X1 @ X9 @ X10 @ X11 @ X12) => ((X9 @ X4 @ X4) => (X10 @ (X11 @ X4) @ (X12 @ X4))))),
% 0.22/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_37_rel__funD2)).
% 0.22/0.49 thf(f898,plain,(
% 0.22/0.49 ((xb @ sK16) != (coindu1724414836stream @ b @ (yb @ sK16)))),
% 0.22/0.49 inference(superposition,[],[f857,f847])).
% 0.22/0.49 thf(f847,plain,(
% 0.22/0.49 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X0 > X1,X6 : X2,X4 : X2 > X0] : (((comp @ X0 @ X1 @ X2 @ X3 @ X4 @ X6) = (X3 @ (X4 @ X6)))) )),
% 0.22/0.49 inference(equality_resolution,[],[f826])).
% 0.22/0.49 thf(f826,plain,(
% 0.22/0.49 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X0 > X1,X6 : X2,X4 : X2 > X0,X5 : X2 > X1] : (((comp @ X0 @ X1 @ X2 @ X3 @ X4) != X5) | ((X5 @ X6) = (X3 @ (X4 @ X6)))) )),
% 0.22/0.49 inference(cnf_transformation,[],[f757])).
% 0.22/0.49 thf(f757,plain,(
% 0.22/0.49 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : X0 > X1,X4 : X2 > X0,X5 : X2 > X1,X6 : X2] : (((comp @ X0 @ X1 @ X2 @ X3 @ X4) != X5) | ((X5 @ X6) = (X3 @ (X4 @ X6))))),
% 0.22/0.49 inference(ennf_transformation,[],[f731])).
% 0.22/0.49 thf(f731,plain,(
% 0.22/0.49 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : X0 > X1,X4 : X2 > X0,X5 : X2 > X1,X6 : X2] : (((comp @ X0 @ X1 @ X2 @ X3 @ X4) = X5) => ((X5 @ X6) = (X3 @ (X4 @ X6))))),
% 0.22/0.49 inference(rectify,[],[f29])).
% 0.22/0.49 thf(f29,axiom,(
% 0.22/0.49 ! [X1 : $tType,X2 : $tType,X0 : $tType,X55 : X1 > X2,X56 : X0 > X1,X31 : X0 > X2,X53 : X0] : (((comp @ X1 @ X2 @ X0 @ X55 @ X56) = X31) => ((X55 @ (X56 @ X53)) = (X31 @ X53)))),
% 0.22/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_comp__eq__dest__lhs)).
% 0.22/0.49 thf(f857,plain,(
% 0.22/0.49 ((comp @ stream @ b @ coinductive_llist @ b @ a @ coindu1724414836stream @ b @ yb @ sK16) != (xb @ sK16))),
% 0.22/0.49 inference(negative_extensionality,[],[f810])).
% 0.22/0.49 thf(f810,plain,(
% 0.22/0.49 (xb != (comp @ stream @ b @ coinductive_llist @ b @ a @ coindu1724414836stream @ b @ yb))),
% 0.22/0.49 inference(cnf_transformation,[],[f726])).
% 0.22/0.49 thf(f726,plain,(
% 0.22/0.49 (xb != (comp @ stream @ b @ coinductive_llist @ b @ a @ coindu1724414836stream @ b @ yb))),
% 0.22/0.49 inference(flattening,[],[f262])).
% 0.22/0.49 thf(f262,negated_conjecture,(
% 0.22/0.49 ~(xb = (comp @ stream @ b @ coinductive_llist @ b @ a @ coindu1724414836stream @ b @ yb))),
% 0.22/0.49 inference(negated_conjecture,[],[f261])).
% 0.22/0.49 thf(f261,conjecture,(
% 0.22/0.49 (xb = (comp @ stream @ b @ coinductive_llist @ b @ a @ coindu1724414836stream @ b @ yb))),
% 0.22/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)).
% 0.22/0.49 % SZS output end Proof for theBenchmark
% 0.22/0.49 % (22120)------------------------------
% 0.22/0.49 % (22120)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (22120)Termination reason: Refutation
% 0.22/0.49
% 0.22/0.49 % (22120)Memory used [KB]: 7803
% 0.22/0.49 % (22120)Time elapsed: 0.084 s
% 0.22/0.49 % (22120)Instructions burned: 133 (million)
% 0.22/0.49 % (22120)------------------------------
% 0.22/0.49 % (22120)------------------------------
% 0.22/0.49 % (22114)Success in time 0.104 s
% 0.22/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------