TSTP Solution File: DAT147^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT147^1 : 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 : n020.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 0.48s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : DAT147^1 : TPTP v8.2.0. Released v7.0.0.
% 0.04/0.14 % 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 : n020.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 23:13:38 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
% 0.22/0.39 % (25764)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)
% 0.22/0.39 % (25759)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)
% 0.22/0.39 % (25758)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)
% 0.22/0.39 % (25760)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.39 % (25760)Instruction limit reached!
% 0.22/0.39 % (25760)------------------------------
% 0.22/0.39 % (25760)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (25760)Termination reason: Unknown
% 0.22/0.39 % (25761)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)
% 0.22/0.39 % (25760)Termination phase: shuffling
% 0.22/0.39
% 0.22/0.39 % (25760)Memory used [KB]: 1279
% 0.22/0.39 % (25760)Time elapsed: 0.003 s
% 0.22/0.39 % (25760)Instructions burned: 2 (million)
% 0.22/0.39 % (25760)------------------------------
% 0.22/0.39 % (25760)------------------------------
% 0.22/0.40 % (25763)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 % (25761)Instruction limit reached!
% 0.22/0.40 % (25761)------------------------------
% 0.22/0.40 % (25761)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (25761)Termination reason: Unknown
% 0.22/0.40 % (25761)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (25761)Memory used [KB]: 1279
% 0.22/0.40 % (25761)Time elapsed: 0.003 s
% 0.22/0.40 % (25761)Instructions burned: 2 (million)
% 0.22/0.40 % (25761)------------------------------
% 0.22/0.40 % (25761)------------------------------
% 0.22/0.40 % (25764)Instruction limit reached!
% 0.22/0.40 % (25764)------------------------------
% 0.22/0.40 % (25764)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (25764)Termination reason: Unknown
% 0.22/0.40 % (25764)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (25764)Memory used [KB]: 1407
% 0.22/0.40 % (25764)Time elapsed: 0.005 s
% 0.22/0.40 % (25764)Instructions burned: 4 (million)
% 0.22/0.40 % (25764)------------------------------
% 0.22/0.40 % (25764)------------------------------
% 0.22/0.40 % (25758)Instruction limit reached!
% 0.22/0.40 % (25758)------------------------------
% 0.22/0.40 % (25758)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (25758)Termination reason: Unknown
% 0.22/0.40 % (25758)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (25758)Memory used [KB]: 1407
% 0.22/0.40 % (25758)Time elapsed: 0.005 s
% 0.22/0.40 % (25758)Instructions burned: 5 (million)
% 0.22/0.40 % (25758)------------------------------
% 0.22/0.40 % (25758)------------------------------
% 0.22/0.40 % (25762)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 % (25757)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.41 % (25763)Instruction limit reached!
% 0.22/0.41 % (25763)------------------------------
% 0.22/0.41 % (25763)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (25763)Termination reason: Unknown
% 0.22/0.41 % (25763)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (25763)Memory used [KB]: 1663
% 0.22/0.41 % (25763)Time elapsed: 0.014 s
% 0.22/0.41 % (25763)Instructions burned: 18 (million)
% 0.22/0.41 % (25763)------------------------------
% 0.22/0.41 % (25763)------------------------------
% 0.22/0.41 % (25765)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)
% 0.22/0.41 % (25768)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)
% 0.22/0.41 % (25759)Instruction limit reached!
% 0.22/0.41 % (25759)------------------------------
% 0.22/0.41 % (25759)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (25759)Termination reason: Unknown
% 0.22/0.41 % (25759)Termination phase: Property scanning
% 0.22/0.41
% 0.22/0.41 % (25759)Memory used [KB]: 1663
% 0.22/0.41 % (25759)Time elapsed: 0.019 s
% 0.22/0.41 % (25759)Instructions burned: 28 (million)
% 0.22/0.41 % (25759)------------------------------
% 0.22/0.41 % (25759)------------------------------
% 0.22/0.41 % (25767)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)
% 0.22/0.41 % (25766)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)
% 0.22/0.41 % (25767)Instruction limit reached!
% 0.22/0.41 % (25767)------------------------------
% 0.22/0.41 % (25767)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (25767)Termination reason: Unknown
% 0.22/0.41 % (25767)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (25767)Memory used [KB]: 1407
% 0.22/0.41 % (25767)Time elapsed: 0.004 s
% 0.22/0.41 % (25767)Instructions burned: 3 (million)
% 0.22/0.41 % (25767)------------------------------
% 0.22/0.41 % (25767)------------------------------
% 0.22/0.42 % (25762)Refutation not found, incomplete strategy
% 0.22/0.42 % (25762)------------------------------
% 0.22/0.42 % (25762)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (25762)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.42
% 0.22/0.42
% 0.22/0.42 % (25762)Memory used [KB]: 6268
% 0.22/0.42 % (25762)Time elapsed: 0.027 s
% 0.22/0.42 % (25762)Instructions burned: 38 (million)
% 0.22/0.42 % (25762)------------------------------
% 0.22/0.42 % (25762)------------------------------
% 0.22/0.42 % (25769)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.42 % (25766)Instruction limit reached!
% 0.22/0.42 % (25766)------------------------------
% 0.22/0.42 % (25766)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (25766)Termination reason: Unknown
% 0.22/0.42 % (25766)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (25766)Memory used [KB]: 1663
% 0.22/0.42 % (25766)Time elapsed: 0.012 s
% 0.22/0.42 % (25766)Instructions burned: 15 (million)
% 0.22/0.42 % (25766)------------------------------
% 0.22/0.42 % (25766)------------------------------
% 0.22/0.43 % (25770)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.43 % (25769)Instruction limit reached!
% 0.22/0.43 % (25769)------------------------------
% 0.22/0.43 % (25769)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (25769)Termination reason: Unknown
% 0.22/0.43 % (25769)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (25769)Memory used [KB]: 1407
% 0.22/0.43 % (25769)Time elapsed: 0.007 s
% 0.22/0.43 % (25769)Instructions burned: 8 (million)
% 0.22/0.43 % (25769)------------------------------
% 0.22/0.43 % (25769)------------------------------
% 0.22/0.43 % (25771)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)
% 0.22/0.43 % (25771)Instruction limit reached!
% 0.22/0.43 % (25771)------------------------------
% 0.22/0.43 % (25771)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (25771)Termination reason: Unknown
% 0.22/0.43 % (25771)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (25771)Memory used [KB]: 1407
% 0.22/0.43 % (25771)Time elapsed: 0.004 s
% 0.22/0.43 % (25765)Instruction limit reached!
% 0.22/0.43 % (25765)------------------------------
% 0.22/0.43 % (25765)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (25765)Termination reason: Unknown
% 0.22/0.43 % (25765)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (25765)Memory used [KB]: 2046
% 0.22/0.43 % (25765)Time elapsed: 0.022 s
% 0.22/0.43 % (25765)Instructions burned: 37 (million)
% 0.22/0.43 % (25765)------------------------------
% 0.22/0.43 % (25765)------------------------------
% 0.22/0.43 % (25771)Instructions burned: 3 (million)
% 0.22/0.43 % (25771)------------------------------
% 0.22/0.43 % (25771)------------------------------
% 0.22/0.44 % (25772)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)
% 0.22/0.44 % (25770)Instruction limit reached!
% 0.22/0.44 % (25770)------------------------------
% 0.22/0.44 % (25770)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (25770)Termination reason: Unknown
% 0.22/0.44 % (25770)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (25770)Memory used [KB]: 1663
% 0.22/0.44 % (25770)Time elapsed: 0.013 s
% 0.22/0.44 % (25770)Instructions burned: 17 (million)
% 0.22/0.44 % (25770)------------------------------
% 0.22/0.44 % (25770)------------------------------
% 0.22/0.44 % (25773)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)
% 0.22/0.44 % (25772)Instruction limit reached!
% 0.22/0.44 % (25772)------------------------------
% 0.22/0.44 % (25772)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (25772)Termination reason: Unknown
% 0.22/0.44 % (25772)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (25772)Memory used [KB]: 1407
% 0.22/0.44 % (25772)Time elapsed: 0.004 s
% 0.22/0.44 % (25772)Instructions burned: 3 (million)
% 0.22/0.44 % (25772)------------------------------
% 0.22/0.44 % (25772)------------------------------
% 0.22/0.44 % (25774)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)
% 0.22/0.44 % (25773)Instruction limit reached!
% 0.22/0.44 % (25773)------------------------------
% 0.22/0.44 % (25773)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (25773)Termination reason: Unknown
% 0.22/0.44 % (25773)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (25773)Memory used [KB]: 1407
% 0.22/0.44 % (25773)Time elapsed: 0.007 s
% 0.22/0.44 % (25773)Instructions burned: 8 (million)
% 0.22/0.44 % (25773)------------------------------
% 0.22/0.44 % (25773)------------------------------
% 0.22/0.44 % (25774)Instruction limit reached!
% 0.22/0.44 % (25774)------------------------------
% 0.22/0.44 % (25774)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (25774)Termination reason: Unknown
% 0.22/0.44 % (25774)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (25774)Memory used [KB]: 1407
% 0.22/0.44 % (25774)Time elapsed: 0.004 s
% 0.22/0.44 % (25774)Instructions burned: 4 (million)
% 0.22/0.44 % (25774)------------------------------
% 0.22/0.44 % (25774)------------------------------
% 0.22/0.44 % (25775)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.44 % (25776)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)
% 0.22/0.45 % (25775)Instruction limit reached!
% 0.22/0.45 % (25775)------------------------------
% 0.22/0.45 % (25775)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (25775)Termination reason: Unknown
% 0.22/0.45 % (25775)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (25775)Memory used [KB]: 1407
% 0.22/0.45 % (25775)Time elapsed: 0.005 s
% 0.22/0.45 % (25775)Instructions burned: 5 (million)
% 0.22/0.45 % (25775)------------------------------
% 0.22/0.45 % (25775)------------------------------
% 0.22/0.45 % (25777)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 % (25779)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)
% 0.22/0.46 % (25776)Instruction limit reached!
% 0.22/0.46 % (25776)------------------------------
% 0.22/0.46 % (25776)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (25776)Termination reason: Unknown
% 0.22/0.46 % (25776)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (25776)Memory used [KB]: 1663
% 0.22/0.46 % (25776)Time elapsed: 0.015 s
% 0.22/0.46 % (25776)Instructions burned: 19 (million)
% 0.22/0.46 % (25776)------------------------------
% 0.22/0.46 % (25776)------------------------------
% 0.22/0.46 % (25780)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)
% 0.22/0.46 % (25781)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.46 % (25781)Instruction limit reached!
% 0.22/0.46 % (25781)------------------------------
% 0.22/0.46 % (25781)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (25781)Termination reason: Unknown
% 0.22/0.46 % (25781)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (25781)Memory used [KB]: 1407
% 0.22/0.46 % (25781)Time elapsed: 0.005 s
% 0.22/0.46 % (25781)Instructions burned: 5 (million)
% 0.22/0.46 % (25781)------------------------------
% 0.22/0.46 % (25781)------------------------------
% 0.22/0.47 % (25780)Instruction limit reached!
% 0.22/0.47 % (25780)------------------------------
% 0.22/0.47 % (25780)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (25780)Termination reason: Unknown
% 0.22/0.47 % (25780)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (25780)Memory used [KB]: 1791
% 0.22/0.47 % (25780)Time elapsed: 0.016 s
% 0.22/0.47 % (25780)Instructions burned: 21 (million)
% 0.22/0.47 % (25780)------------------------------
% 0.22/0.47 % (25780)------------------------------
% 0.22/0.47 % (25782)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)
% 0.22/0.47 % (25777)First to succeed.
% 0.22/0.47 % (25778)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.48 % (25782)Instruction limit reached!
% 0.22/0.48 % (25782)------------------------------
% 0.22/0.48 % (25782)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (25782)Termination reason: Unknown
% 0.22/0.48 % (25782)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (25782)Memory used [KB]: 1407
% 0.22/0.48 % (25782)Time elapsed: 0.006 s
% 0.22/0.48 % (25782)Instructions burned: 7 (million)
% 0.22/0.48 % (25782)------------------------------
% 0.22/0.48 % (25782)------------------------------
% 0.22/0.48 % (25777)Refutation found. Thanks to Tanya!
% 0.22/0.48 % SZS status Theorem for theBenchmark
% 0.22/0.48 % SZS output start Proof for theBenchmark
% 0.22/0.48 thf(type_def_5, type, itself: ($tType) > $tType).
% 0.22/0.48 thf(type_def_7, type, set: ($tType) > $tType).
% 0.22/0.48 thf(type_def_8, type, coinductive_llist: ($tType) > $tType).
% 0.22/0.48 thf(type_def_9, type, stream: ($tType) > $tType).
% 0.22/0.48 thf(type_def_10, type, a: $tType).
% 0.22/0.48 thf(func_def_0, type, coinductive_llist: ($tType) > $tType).
% 0.22/0.48 thf(func_def_1, type, stream: ($tType) > $tType).
% 0.22/0.48 thf(func_def_2, type, set: ($tType) > $tType).
% 0.22/0.48 thf(func_def_3, type, itself: ($tType) > $tType).
% 0.22/0.48 thf(func_def_4, type, a: $tType).
% 0.22/0.48 thf(func_def_5, type, bounded_lattice: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.48 thf(func_def_6, type, type: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.48 thf(func_def_7, type, bot: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.48 thf(func_def_8, type, lattice: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.48 thf(func_def_9, type, distrib_lattice: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.48 thf(func_def_10, type, semilattice_inf: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.48 thf(func_def_11, type, semilattice_sup: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.48 thf(func_def_12, type, bounded_lattice_bot: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.48 thf(func_def_13, type, bounde1808546759up_bot: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.48 thf(func_def_14, type, coinductive_gen_lset: !>[X0: $tType]:(set @ X0 > coinductive_llist @ X0 > set @ X0)).
% 0.22/0.48 thf(func_def_15, type, coinductive_lappend: !>[X0: $tType]:(coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0)).
% 0.22/0.48 thf(func_def_16, type, coinductive_lconcat: !>[X0: $tType]:(coinductive_llist @ coinductive_llist @ X0 > coinductive_llist @ X0)).
% 0.22/0.48 thf(func_def_17, type, coindu351974385stinct: !>[X0: $tType]:(coinductive_llist @ X0 > $o)).
% 0.22/0.48 thf(func_def_18, type, coindu218763757pWhile: !>[X0: $tType]:((X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0)).
% 0.22/0.48 thf(func_def_19, type, coinductive_lfilter: !>[X0: $tType]:((X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0)).
% 0.22/0.48 thf(func_def_20, type, coinductive_lfinite: !>[X0: $tType]:(coinductive_llist @ X0 > $o)).
% 0.22/0.48 thf(func_def_21, type, coinductive_llast: !>[X0: $tType]:(coinductive_llist @ X0 > X0)).
% 0.22/0.48 thf(func_def_22, type, coinductive_LCons: !>[X0: $tType]:(X0 > coinductive_llist @ X0 > coinductive_llist @ X0)).
% 0.22/0.48 thf(func_def_23, type, coinductive_LNil: !>[X0: $tType]:(coinductive_llist @ X0)).
% 0.22/0.48 thf(func_def_24, type, coindu1381640503_llist: !>[X0: $tType, X1: $tType]:(X0 > (X1 > coinductive_llist @ X1 > X0) > coinductive_llist @ X1 > X0)).
% 0.22/0.48 thf(func_def_25, type, coinductive_lhd: !>[X0: $tType]:(coinductive_llist @ X0 > X0)).
% 0.22/0.48 thf(func_def_26, type, coinductive_lnull: !>[X0: $tType]:(coinductive_llist @ X0 > $o)).
% 0.22/0.48 thf(func_def_27, type, coinductive_lset: !>[X0: $tType]:(coinductive_llist @ X0 > set @ X0)).
% 0.22/0.48 thf(func_def_28, type, coinductive_ltl: !>[X0: $tType]:(coinductive_llist @ X0 > coinductive_llist @ X0)).
% 0.22/0.48 thf(func_def_29, type, coinductive_lmember: !>[X0: $tType]:(X0 > coinductive_llist @ X0 > $o)).
% 0.22/0.48 thf(func_def_30, type, coinductive_lsetp: !>[X0: $tType]:(coinductive_llist @ X0 > X0 > $o)).
% 0.22/0.48 thf(func_def_31, type, coindu1478340336prefix: !>[X0: $tType]:(coinductive_llist @ X0 > coinductive_llist @ X0 > $o)).
% 0.22/0.48 thf(func_def_32, type, coindu501562517eWhile: !>[X0: $tType]:((X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0)).
% 0.22/0.48 thf(func_def_33, type, coindu1441602521_llist: !>[X0: $tType, X1: $tType]:((X0 > $o) > (X0 > X1) > (X0 > X0) > X0 > coinductive_llist @ X1)).
% 0.22/0.48 thf(func_def_34, type, coindu1724414836stream: !>[X0: $tType]:(stream @ X0 > coinductive_llist @ X0)).
% 0.22/0.48 thf(func_def_35, type, coindu1183105481stream: !>[X0: $tType]:(coinductive_llist @ X0 > stream @ X0 > $o)).
% 0.22/0.48 thf(func_def_36, type, coindu2010755910_llist: !>[X0: $tType]:(coinductive_llist @ X0 > stream @ X0)).
% 0.22/0.48 thf(func_def_37, type, coindu139217191stream: !>[X0: $tType, X1: $tType]:((X0 > X1) > (X0 > X0) > X0 > stream @ X1)).
% 0.22/0.48 thf(func_def_38, type, if: !>[X0: $tType]:($o > X0 > X0 > X0)).
% 0.22/0.48 thf(func_def_39, type, inf_inf: !>[X0: $tType]:(X0 > X0 > X0)).
% 0.22/0.48 thf(func_def_40, type, sup_sup: !>[X0: $tType]:(X0 > X0 > X0)).
% 0.22/0.48 thf(func_def_41, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.22/0.48 thf(func_def_42, type, type2: !>[X0: $tType]:(itself @ X0)).
% 0.22/0.48 thf(func_def_43, type, collect: !>[X0: $tType]:((X0 > $o) > set @ X0)).
% 0.22/0.48 thf(func_def_44, type, disjnt: !>[X0: $tType]:(set @ X0 > set @ X0 > $o)).
% 0.22/0.48 thf(func_def_45, type, is_empty: !>[X0: $tType]:(set @ X0 > $o)).
% 0.22/0.48 thf(func_def_46, type, sinterleave: !>[X0: $tType]:(stream @ X0 > stream @ X0 > stream @ X0)).
% 0.22/0.48 thf(func_def_47, type, smember: !>[X0: $tType]:(X0 > stream @ X0 > $o)).
% 0.22/0.48 thf(func_def_48, type, shd: !>[X0: $tType]:(stream @ X0 > X0)).
% 0.22/0.48 thf(func_def_49, type, sset: !>[X0: $tType]:(stream @ X0 > set @ X0)).
% 0.22/0.48 thf(func_def_50, type, member: !>[X0: $tType]:(X0 > set @ X0 > $o)).
% 0.22/0.48 thf(func_def_51, type, x: a).
% 0.22/0.48 thf(func_def_52, type, xs: stream @ a).
% 0.22/0.48 thf(func_def_53, type, xsa: stream @ a).
% 0.22/0.48 thf(func_def_69, type, sK0: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > X1)).
% 0.22/0.48 thf(f796,plain,(
% 0.22/0.48 $false),
% 0.22/0.48 inference(avatar_sat_refutation,[],[f789,f792,f795])).
% 0.22/0.48 thf(f795,plain,(
% 0.22/0.48 ~spl1_1),
% 0.22/0.48 inference(avatar_contradiction_clause,[],[f794])).
% 0.22/0.48 thf(f794,plain,(
% 0.22/0.48 $false | ~spl1_1),
% 0.22/0.48 inference(subsumption_resolution,[],[f784,f767])).
% 0.22/0.48 thf(f767,plain,(
% 0.22/0.48 ( ! [X0 : $tType,X1 : stream @ X0] : (((coinductive_lnull @ X0 @ (coindu1724414836stream @ X0 @ X1)) != $true)) )),
% 0.22/0.48 inference(cnf_transformation,[],[f752])).
% 0.22/0.48 thf(f752,plain,(
% 0.22/0.48 ! [X0 : $tType,X1 : stream @ X0] : ((coinductive_lnull @ X0 @ (coindu1724414836stream @ X0 @ X1)) != $true)),
% 0.22/0.48 inference(flattening,[],[f486])).
% 0.22/0.48 thf(f486,plain,(
% 0.22/0.48 ! [X0 : $tType,X1 : stream @ X0] : ~((coinductive_lnull @ X0 @ (coindu1724414836stream @ X0 @ X1)) = $true)),
% 0.22/0.48 inference(fool_elimination,[],[f485])).
% 0.22/0.48 thf(f485,plain,(
% 0.22/0.48 ! [X0 : $tType,X1 : stream @ X0] : ~(coinductive_lnull @ X0 @ (coindu1724414836stream @ X0 @ X1))),
% 0.22/0.48 inference(rectify,[],[f4])).
% 0.22/0.48 thf(f4,axiom,(
% 0.22/0.48 ! [X0 : $tType,X4 : stream @ X0] : ~(coinductive_lnull @ X0 @ (coindu1724414836stream @ X0 @ X4))),
% 0.22/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_lnull__llist__of__stream)).
% 0.22/0.48 thf(f784,plain,(
% 0.22/0.48 ((coinductive_lnull @ a @ (coindu1724414836stream @ a @ xsa)) = $true) | ~spl1_1),
% 0.22/0.48 inference(avatar_component_clause,[],[f782])).
% 0.22/0.48 thf(f782,plain,(
% 0.22/0.48 spl1_1 <=> ((coinductive_lnull @ a @ (coindu1724414836stream @ a @ xsa)) = $true)),
% 0.22/0.48 introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
% 0.22/0.48 thf(f792,plain,(
% 0.22/0.48 ~spl1_2),
% 0.22/0.48 inference(avatar_contradiction_clause,[],[f791])).
% 0.22/0.48 thf(f791,plain,(
% 0.22/0.48 $false | ~spl1_2),
% 0.22/0.48 inference(subsumption_resolution,[],[f790,f765])).
% 0.22/0.48 thf(f765,plain,(
% 0.22/0.48 ((member @ a @ (shd @ a @ xsa) @ (coinductive_lset @ a @ (coindu1724414836stream @ a @ xsa))) != $true)),
% 0.22/0.48 inference(cnf_transformation,[],[f749])).
% 0.22/0.48 thf(f749,plain,(
% 0.22/0.48 ((member @ a @ (shd @ a @ xsa) @ (coinductive_lset @ a @ (coindu1724414836stream @ a @ xsa))) != $true)),
% 0.22/0.48 inference(flattening,[],[f650])).
% 0.22/0.48 thf(f650,plain,(
% 0.22/0.48 ~((member @ a @ (shd @ a @ xsa) @ (coinductive_lset @ a @ (coindu1724414836stream @ a @ xsa))) = $true)),
% 0.22/0.48 inference(fool_elimination,[],[f649])).
% 0.22/0.48 thf(f649,plain,(
% 0.22/0.48 ~(member @ a @ (shd @ a @ xsa) @ (coinductive_lset @ a @ (coindu1724414836stream @ a @ xsa)))),
% 0.22/0.48 inference(rectify,[],[f283])).
% 0.22/0.48 thf(f283,negated_conjecture,(
% 0.22/0.48 ~(member @ a @ (shd @ a @ xsa) @ (coinductive_lset @ a @ (coindu1724414836stream @ a @ xsa)))),
% 0.22/0.48 inference(negated_conjecture,[],[f282])).
% 0.22/0.48 thf(f282,conjecture,(
% 0.22/0.48 (member @ a @ (shd @ a @ xsa) @ (coinductive_lset @ a @ (coindu1724414836stream @ a @ xsa)))),
% 0.22/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.22/0.48 thf(f790,plain,(
% 0.22/0.48 ((member @ a @ (shd @ a @ xsa) @ (coinductive_lset @ a @ (coindu1724414836stream @ a @ xsa))) = $true) | ~spl1_2),
% 0.22/0.48 inference(forward_demodulation,[],[f788,f769])).
% 0.22/0.48 thf(f769,plain,(
% 0.22/0.48 ( ! [X0 : $tType,X1 : stream @ X0] : (((coinductive_lhd @ X0 @ (coindu1724414836stream @ X0 @ X1)) = (shd @ X0 @ X1))) )),
% 0.22/0.48 inference(cnf_transformation,[],[f753])).
% 0.22/0.48 thf(f753,plain,(
% 0.22/0.48 ! [X0 : $tType,X1 : stream @ X0] : ((coinductive_lhd @ X0 @ (coindu1724414836stream @ X0 @ X1)) = (shd @ X0 @ X1))),
% 0.22/0.48 inference(rectify,[],[f3])).
% 0.22/0.48 thf(f3,axiom,(
% 0.22/0.48 ! [X0 : $tType,X4 : stream @ X0] : ((coinductive_lhd @ X0 @ (coindu1724414836stream @ X0 @ X4)) = (shd @ X0 @ X4))),
% 0.22/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_lhd__llist__of__stream)).
% 0.22/0.48 thf(f788,plain,(
% 0.22/0.48 ((member @ a @ (coinductive_lhd @ a @ (coindu1724414836stream @ a @ xsa)) @ (coinductive_lset @ a @ (coindu1724414836stream @ a @ xsa))) = $true) | ~spl1_2),
% 0.22/0.48 inference(avatar_component_clause,[],[f786])).
% 0.22/0.48 thf(f786,plain,(
% 0.22/0.48 spl1_2 <=> ((member @ a @ (coinductive_lhd @ a @ (coindu1724414836stream @ a @ xsa)) @ (coinductive_lset @ a @ (coindu1724414836stream @ a @ xsa))) = $true)),
% 0.22/0.48 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
% 0.22/0.48 thf(f789,plain,(
% 0.22/0.48 spl1_1 | spl1_2),
% 0.22/0.48 inference(avatar_split_clause,[],[f776,f786,f782])).
% 0.22/0.48 thf(f776,plain,(
% 0.22/0.48 ((member @ a @ (coinductive_lhd @ a @ (coindu1724414836stream @ a @ xsa)) @ (coinductive_lset @ a @ (coindu1724414836stream @ a @ xsa))) = $true) | ((coinductive_lnull @ a @ (coindu1724414836stream @ a @ xsa)) = $true)),
% 0.22/0.48 inference(cnf_transformation,[],[f761])).
% 0.22/0.48 thf(f761,plain,(
% 0.22/0.48 ((coinductive_lnull @ a @ (coindu1724414836stream @ a @ xsa)) = $true) | ((member @ a @ (coinductive_lhd @ a @ (coindu1724414836stream @ a @ xsa)) @ (coinductive_lset @ a @ (coindu1724414836stream @ a @ xsa))) = $true)),
% 0.22/0.48 inference(ennf_transformation,[],[f750])).
% 0.22/0.48 thf(f750,plain,(
% 0.22/0.48 ((coinductive_lnull @ a @ (coindu1724414836stream @ a @ xsa)) != $true) => ((member @ a @ (coinductive_lhd @ a @ (coindu1724414836stream @ a @ xsa)) @ (coinductive_lset @ a @ (coindu1724414836stream @ a @ xsa))) = $true)),
% 0.22/0.48 inference(flattening,[],[f402])).
% 0.22/0.48 thf(f402,plain,(
% 0.22/0.48 ~((coinductive_lnull @ a @ (coindu1724414836stream @ a @ xsa)) = $true) => ((member @ a @ (coinductive_lhd @ a @ (coindu1724414836stream @ a @ xsa)) @ (coinductive_lset @ a @ (coindu1724414836stream @ a @ xsa))) = $true)),
% 0.22/0.48 inference(fool_elimination,[],[f401])).
% 0.22/0.48 thf(f401,plain,(
% 0.22/0.48 ~(coinductive_lnull @ a @ (coindu1724414836stream @ a @ xsa)) => (member @ a @ (coinductive_lhd @ a @ (coindu1724414836stream @ a @ xsa)) @ (coinductive_lset @ a @ (coindu1724414836stream @ a @ xsa)))),
% 0.22/0.48 inference(rectify,[],[f1])).
% 0.22/0.48 thf(f1,axiom,(
% 0.22/0.48 ~(coinductive_lnull @ a @ (coindu1724414836stream @ a @ xsa)) => (member @ a @ (coinductive_lhd @ a @ (coindu1724414836stream @ a @ xsa)) @ (coinductive_lset @ a @ (coindu1724414836stream @ a @ xsa)))),
% 0.22/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062_092_060not_062_Alnull_A_Illist__of__stream_Axs_J_A_092_060Longrightarrow_062_Alhd_A_Illist__of__stream_Axs_J_A_092_060in_062_Alset_A_Illist__of__stream_Axs_J_092_060close_062)).
% 0.22/0.48 % SZS output end Proof for theBenchmark
% 0.22/0.48 % (25777)------------------------------
% 0.22/0.48 % (25777)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (25777)Termination reason: Refutation
% 0.22/0.48
% 0.22/0.48 % (25777)Memory used [KB]: 6268
% 0.22/0.48 % (25777)Time elapsed: 0.027 s
% 0.22/0.48 % (25777)Instructions burned: 34 (million)
% 0.22/0.48 % (25777)------------------------------
% 0.22/0.48 % (25777)------------------------------
% 0.22/0.48 % (25756)Success in time 0.106 s
% 0.75/0.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------