TSTP Solution File: SYO324^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO324^5 : TPTP v8.2.0. Released v4.0.0.
% 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 : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 09:03:58 EDT 2024
% Result : Theorem 1.84s 0.62s
% Output : Refutation 1.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYO324^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14 % 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 : n007.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 : Mon May 20 09:53:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH0_THM_NEQ_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 % (19275)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 (3000ds/27Mi)
% 0.14/0.38 % (19276)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.38 % (19279)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.14/0.38 % (19278)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 (3000ds/275Mi)
% 0.14/0.38 % (19277)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 (3000ds/2Mi)
% 0.14/0.38 % (19274)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 (3000ds/4Mi)
% 0.14/0.38 % (19273)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.14/0.38 % (19280)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.14/0.38 % (19276)Instruction limit reached!
% 0.14/0.38 % (19276)------------------------------
% 0.14/0.38 % (19276)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (19276)Termination reason: Unknown
% 0.14/0.38 % (19276)Termination phase: Preprocessing 3
% 0.14/0.38 % (19277)Instruction limit reached!
% 0.14/0.38 % (19277)------------------------------
% 0.14/0.38 % (19277)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (19277)Termination reason: Unknown
% 0.14/0.38 % (19277)Termination phase: Property scanning
% 0.14/0.38
% 0.14/0.38 % (19277)Memory used [KB]: 895
% 0.14/0.38 % (19277)Time elapsed: 0.002 s
% 0.14/0.38 % (19277)Instructions burned: 2 (million)
% 0.14/0.38 % (19277)------------------------------
% 0.14/0.38 % (19277)------------------------------
% 0.14/0.38
% 0.14/0.38 % (19276)Memory used [KB]: 895
% 0.14/0.38 % (19276)Time elapsed: 0.003 s
% 0.14/0.38 % (19276)Instructions burned: 2 (million)
% 0.14/0.38 % (19276)------------------------------
% 0.14/0.38 % (19276)------------------------------
% 0.14/0.38 % (19280)Instruction limit reached!
% 0.14/0.38 % (19280)------------------------------
% 0.14/0.38 % (19280)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (19280)Termination reason: Unknown
% 0.14/0.38 % (19280)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (19280)Memory used [KB]: 5500
% 0.14/0.38 % (19280)Time elapsed: 0.003 s
% 0.14/0.38 % (19280)Instructions burned: 3 (million)
% 0.14/0.38 % (19280)------------------------------
% 0.14/0.38 % (19280)------------------------------
% 0.14/0.38 % (19274)Instruction limit reached!
% 0.14/0.38 % (19274)------------------------------
% 0.14/0.38 % (19274)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (19274)Termination reason: Unknown
% 0.14/0.38 % (19274)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (19274)Memory used [KB]: 5500
% 0.14/0.38 % (19274)Time elapsed: 0.004 s
% 0.14/0.38 % (19274)Instructions burned: 4 (million)
% 0.14/0.38 % (19274)------------------------------
% 0.14/0.38 % (19274)------------------------------
% 0.14/0.39 % (19279)Instruction limit reached!
% 0.14/0.39 % (19279)------------------------------
% 0.14/0.39 % (19279)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (19279)Termination reason: Unknown
% 0.14/0.39 % (19279)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (19279)Memory used [KB]: 5628
% 0.14/0.39 % (19279)Time elapsed: 0.013 s
% 0.14/0.39 % (19279)Instructions burned: 19 (million)
% 0.14/0.39 % (19279)------------------------------
% 0.14/0.39 % (19279)------------------------------
% 0.14/0.39 % (19275)Instruction limit reached!
% 0.14/0.39 % (19275)------------------------------
% 0.14/0.39 % (19275)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (19275)Termination reason: Unknown
% 0.14/0.39 % (19275)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (19275)Memory used [KB]: 5628
% 0.14/0.39 % (19275)Time elapsed: 0.016 s
% 0.14/0.39 % (19275)Instructions burned: 27 (million)
% 0.14/0.39 % (19275)------------------------------
% 0.14/0.39 % (19275)------------------------------
% 0.14/0.39 % (19281)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)
% 0.14/0.39 % (19282)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 % (19283)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)
% 0.14/0.40 % (19284)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 % (19283)Instruction limit reached!
% 0.14/0.40 % (19283)------------------------------
% 0.14/0.40 % (19283)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (19283)Termination reason: Unknown
% 0.14/0.40 % (19283)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (19283)Memory used [KB]: 5500
% 0.14/0.40 % (19283)Time elapsed: 0.004 s
% 0.14/0.40 % (19283)Instructions burned: 3 (million)
% 0.14/0.40 % (19283)------------------------------
% 0.14/0.40 % (19283)------------------------------
% 0.14/0.40 % (19282)Instruction limit reached!
% 0.14/0.40 % (19282)------------------------------
% 0.14/0.40 % (19282)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (19282)Termination reason: Unknown
% 0.14/0.40 % (19282)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (19282)Memory used [KB]: 5628
% 0.14/0.40 % (19282)Time elapsed: 0.011 s
% 0.14/0.40 % (19282)Instructions burned: 16 (million)
% 0.14/0.40 % (19282)------------------------------
% 0.14/0.40 % (19282)------------------------------
% 0.14/0.40 % (19286)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 % (19285)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 % (19285)Instruction limit reached!
% 0.14/0.41 % (19285)------------------------------
% 0.14/0.41 % (19285)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (19285)Termination reason: Unknown
% 0.14/0.41 % (19285)Termination phase: Saturation
% 0.14/0.41
% 0.14/0.41 % (19285)Memory used [KB]: 1023
% 0.14/0.41 % (19285)Time elapsed: 0.006 s
% 0.14/0.41 % (19285)Instructions burned: 8 (million)
% 0.14/0.41 % (19285)------------------------------
% 0.14/0.41 % (19285)------------------------------
% 0.14/0.41 % (19287)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 % (19286)Instruction limit reached!
% 0.14/0.41 % (19286)------------------------------
% 0.14/0.41 % (19286)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (19286)Termination reason: Unknown
% 0.14/0.41 % (19286)Termination phase: Saturation
% 0.14/0.41
% 0.14/0.41 % (19286)Memory used [KB]: 5756
% 0.14/0.41 % (19286)Time elapsed: 0.011 s
% 0.14/0.41 % (19286)Instructions burned: 17 (million)
% 0.14/0.41 % (19281)Instruction limit reached!
% 0.14/0.41 % (19281)------------------------------
% 0.14/0.41 % (19281)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (19286)------------------------------
% 0.14/0.41 % (19286)------------------------------
% 0.14/0.41 % (19281)Termination reason: Unknown
% 0.14/0.41 % (19281)Termination phase: Saturation
% 0.14/0.41
% 0.14/0.41 % (19281)Memory used [KB]: 6140
% 0.14/0.41 % (19281)Time elapsed: 0.021 s
% 0.14/0.41 % (19281)Instructions burned: 37 (million)
% 0.14/0.41 % (19281)------------------------------
% 0.14/0.41 % (19281)------------------------------
% 0.14/0.41 % (19287)Instruction limit reached!
% 0.14/0.41 % (19287)------------------------------
% 0.14/0.41 % (19287)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (19287)Termination reason: Unknown
% 0.14/0.41 % (19287)Termination phase: Saturation
% 0.14/0.41
% 0.14/0.41 % (19287)Memory used [KB]: 5500
% 0.14/0.41 % (19287)Time elapsed: 0.004 s
% 0.14/0.41 % (19287)Instructions burned: 4 (million)
% 0.14/0.41 % (19287)------------------------------
% 0.14/0.41 % (19287)------------------------------
% 0.14/0.42 % (19288)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 % (19288)Instruction limit reached!
% 0.14/0.42 % (19288)------------------------------
% 0.14/0.42 % (19288)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (19288)Termination reason: Unknown
% 0.14/0.42 % (19288)Termination phase: Property scanning
% 0.14/0.42
% 0.14/0.42 % (19288)Memory used [KB]: 1023
% 0.14/0.42 % (19288)Time elapsed: 0.003 s
% 0.14/0.42 % (19288)Instructions burned: 3 (million)
% 0.14/0.42 % (19288)------------------------------
% 0.14/0.42 % (19288)------------------------------
% 0.14/0.42 % (19289)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 % (19290)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)
% 0.14/0.43 % (19290)Instruction limit reached!
% 0.14/0.43 % (19290)------------------------------
% 0.14/0.43 % (19290)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.43 % (19290)Termination reason: Unknown
% 0.14/0.43 % (19290)Termination phase: Saturation
% 0.14/0.43
% 0.14/0.43 % (19290)Memory used [KB]: 5500
% 0.14/0.43 % (19290)Time elapsed: 0.003 s
% 0.14/0.43 % (19290)Instructions burned: 3 (million)
% 0.14/0.43 % (19290)------------------------------
% 0.14/0.43 % (19290)------------------------------
% 0.14/0.43 % (19289)Instruction limit reached!
% 0.14/0.43 % (19289)------------------------------
% 0.14/0.43 % (19289)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.43 % (19291)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.43 % (19289)Termination reason: Unknown
% 0.14/0.43 % (19289)Termination phase: Saturation
% 0.14/0.43
% 0.14/0.43 % (19289)Memory used [KB]: 5500
% 0.14/0.43 % (19289)Time elapsed: 0.006 s
% 0.14/0.43 % (19289)Instructions burned: 8 (million)
% 0.14/0.43 % (19289)------------------------------
% 0.14/0.43 % (19289)------------------------------
% 0.14/0.43 % (19292)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)
% 0.21/0.43 % (19291)Instruction limit reached!
% 0.21/0.43 % (19291)------------------------------
% 0.21/0.43 % (19291)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (19291)Termination reason: Unknown
% 0.21/0.43 % (19291)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (19291)Memory used [KB]: 5500
% 0.21/0.43 % (19291)Time elapsed: 0.004 s
% 0.21/0.43 % (19291)Instructions burned: 4 (million)
% 0.21/0.43 % (19291)------------------------------
% 0.21/0.43 % (19291)------------------------------
% 0.21/0.44 % (19293)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.44 % (19292)Instruction limit reached!
% 0.21/0.44 % (19292)------------------------------
% 0.21/0.44 % (19292)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (19292)Termination reason: Unknown
% 0.21/0.44 % (19292)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (19292)Memory used [KB]: 5628
% 0.21/0.44 % (19292)Time elapsed: 0.012 s
% 0.21/0.44 % (19292)Instructions burned: 18 (million)
% 0.21/0.44 % (19292)------------------------------
% 0.21/0.44 % (19292)------------------------------
% 0.21/0.44 % (19294)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.44 % (19295)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)
% 0.21/0.44 % (19294)Instruction limit reached!
% 0.21/0.44 % (19294)------------------------------
% 0.21/0.44 % (19294)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (19294)Termination reason: Unknown
% 0.21/0.45 % (19294)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (19294)Memory used [KB]: 5500
% 0.21/0.45 % (19294)Time elapsed: 0.005 s
% 0.21/0.45 % (19294)Instructions burned: 6 (million)
% 0.21/0.45 % (19294)------------------------------
% 0.21/0.45 % (19294)------------------------------
% 0.21/0.45 % (19296)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)
% 0.21/0.46 % (19297)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.46 % (19298)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)
% 0.21/0.46 % (19296)Instruction limit reached!
% 0.21/0.46 % (19296)------------------------------
% 0.21/0.46 % (19296)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (19297)Instruction limit reached!
% 0.21/0.46 % (19297)------------------------------
% 0.21/0.46 % (19297)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (19296)Termination reason: Unknown
% 0.21/0.46 % (19296)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (19296)Memory used [KB]: 5628
% 0.21/0.46 % (19296)Time elapsed: 0.014 s
% 0.21/0.46 % (19296)Instructions burned: 21 (million)
% 0.21/0.46 % (19296)------------------------------
% 0.21/0.46 % (19296)------------------------------
% 0.21/0.46 % (19297)Termination reason: Unknown
% 0.21/0.46 % (19297)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (19297)Memory used [KB]: 5500
% 0.21/0.46 % (19297)Time elapsed: 0.005 s
% 0.21/0.46 % (19297)Instructions burned: 5 (million)
% 0.21/0.46 % (19297)------------------------------
% 0.21/0.46 % (19297)------------------------------
% 0.21/0.46 % (19298)Instruction limit reached!
% 0.21/0.46 % (19298)------------------------------
% 0.21/0.46 % (19298)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (19298)Termination reason: Unknown
% 0.21/0.46 % (19298)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (19298)Memory used [KB]: 5500
% 0.21/0.46 % (19298)Time elapsed: 0.005 s
% 0.21/0.46 % (19298)Instructions burned: 6 (million)
% 0.21/0.46 % (19298)------------------------------
% 0.21/0.46 % (19298)------------------------------
% 0.21/0.47 % (19273)Instruction limit reached!
% 0.21/0.47 % (19273)------------------------------
% 0.21/0.47 % (19273)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (19273)Termination reason: Unknown
% 0.21/0.47 % (19273)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (19273)Memory used [KB]: 6268
% 0.21/0.47 % (19273)Time elapsed: 0.097 s
% 0.21/0.47 % (19273)Instructions burned: 184 (million)
% 0.21/0.47 % (19273)------------------------------
% 0.21/0.47 % (19273)------------------------------
% 0.21/0.47 % (19300)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)
% 0.21/0.47 % (19299)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.21/0.48 % (19301)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)
% 0.21/0.48 % (19301)Instruction limit reached!
% 0.21/0.48 % (19301)------------------------------
% 0.21/0.48 % (19301)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (19301)Termination reason: Unknown
% 0.21/0.48 % (19301)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (19301)Memory used [KB]: 5628
% 0.21/0.48 % (19301)Time elapsed: 0.032 s
% 0.21/0.48 % (19301)Instructions burned: 19 (million)
% 0.21/0.48 % (19301)------------------------------
% 0.21/0.48 % (19301)------------------------------
% 0.21/0.49 % (19302)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)
% 0.21/0.50 % (19303)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.21/0.51 % (19303)Instruction limit reached!
% 0.21/0.51 % (19303)------------------------------
% 0.21/0.51 % (19303)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.51 % (19303)Termination reason: Unknown
% 0.21/0.51 % (19303)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (19303)Memory used [KB]: 5628
% 0.21/0.51 % (19303)Time elapsed: 0.034 s
% 0.21/0.51 % (19303)Instructions burned: 18 (million)
% 0.21/0.51 % (19303)------------------------------
% 0.21/0.51 % (19303)------------------------------
% 0.21/0.52 % (19304)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.52 % (19304)Instruction limit reached!
% 0.21/0.52 % (19304)------------------------------
% 0.21/0.52 % (19304)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.52 % (19304)Termination reason: Unknown
% 0.21/0.52 % (19304)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (19304)Memory used [KB]: 1023
% 0.21/0.52 % (19304)Time elapsed: 0.003 s
% 0.21/0.52 % (19304)Instructions burned: 3 (million)
% 0.21/0.52 % (19304)------------------------------
% 0.21/0.52 % (19304)------------------------------
% 0.21/0.54 % (19305)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.21/0.55 % (19278)Instruction limit reached!
% 0.21/0.55 % (19278)------------------------------
% 0.21/0.55 % (19278)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.55 % (19278)Termination reason: Unknown
% 0.21/0.55 % (19278)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (19278)Memory used [KB]: 6780
% 0.21/0.55 % (19278)Time elapsed: 0.166 s
% 0.21/0.55 % (19278)Instructions burned: 276 (million)
% 0.21/0.55 % (19278)------------------------------
% 0.21/0.55 % (19278)------------------------------
% 0.21/0.55 % (19305)Instruction limit reached!
% 0.21/0.55 % (19305)------------------------------
% 0.21/0.55 % (19305)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.55 % (19305)Termination reason: Unknown
% 0.21/0.55 % (19305)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (19305)Memory used [KB]: 5756
% 0.21/0.55 % (19305)Time elapsed: 0.042 s
% 0.21/0.55 % (19305)Instructions burned: 31 (million)
% 0.21/0.55 % (19305)------------------------------
% 0.21/0.55 % (19305)------------------------------
% 1.68/0.57 % (19307)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.68/0.58 % (19306)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 1.84/0.61 % (19284)First to succeed.
% 1.84/0.62 % (19284)Refutation found. Thanks to Tanya!
% 1.84/0.62 % SZS status Theorem for theBenchmark
% 1.84/0.62 % SZS output start Proof for theBenchmark
% 1.84/0.62 thf(func_def_17, type, ph1: !>[X0: $tType]:(X0)).
% 1.84/0.62 thf(func_def_18, type, sK2: ($i > $o) > $i).
% 1.84/0.62 thf(func_def_19, type, sK3: $i > $o).
% 1.84/0.62 thf(func_def_20, type, sK4: ($i > $o) > ($i > $o) > $i > $o).
% 1.84/0.62 thf(func_def_22, type, sK5: $i > $i > $o).
% 1.84/0.62 thf(func_def_23, type, sK6: ($i > $o) > $i > $i > $o).
% 1.84/0.62 thf(f1943,plain,(
% 1.84/0.62 $false),
% 1.84/0.62 inference(avatar_sat_refutation,[],[f546,f552,f1574,f1942])).
% 1.84/0.62 thf(f1942,plain,(
% 1.84/0.62 spl0_2),
% 1.84/0.62 inference(avatar_split_clause,[],[f1930,f95])).
% 1.84/0.62 thf(f95,plain,(
% 1.84/0.62 spl0_2 <=> ! [X0 : $i > $o,X1] : (($true = (X0 @ X1)) | ($false = (X0 @ X1)))),
% 1.84/0.62 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 1.84/0.62 thf(f1930,plain,(
% 1.84/0.62 ( ! [X0 : $i > $o,X1 : $i] : (($true = (X0 @ X1)) | ($false = (X0 @ X1))) )),
% 1.84/0.62 inference(trivial_inequality_removal,[],[f1929])).
% 1.84/0.62 thf(f1929,plain,(
% 1.84/0.62 ( ! [X0 : $i > $o,X1 : $i] : (($true = (X0 @ X1)) | ($false = (X0 @ X1)) | ($true != $true)) )),
% 1.84/0.62 inference(duplicate_literal_removal,[],[f1896])).
% 1.84/0.62 thf(f1896,plain,(
% 1.84/0.62 ( ! [X0 : $i > $o,X1 : $i] : (($true = (X0 @ X1)) | ($false = (X0 @ X1)) | ($false = (X0 @ X1)) | ($true != $true)) )),
% 1.84/0.62 inference(equality_factoring,[],[f432])).
% 1.84/0.62 thf(f432,plain,(
% 1.84/0.62 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = (X0 @ X1)) | ($false = (X0 @ X1)) | ($false = (X0 @ X2)) | ((X0 @ X2) = $true)) )),
% 1.84/0.62 inference(trivial_inequality_removal,[],[f423])).
% 1.84/0.62 thf(f423,plain,(
% 1.84/0.62 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($false = (X0 @ X1)) | ($false = (X0 @ X2)) | ($false = $true) | ((X0 @ X2) = $true) | ($true = (X0 @ X1))) )),
% 1.84/0.62 inference(superposition,[],[f63,f223])).
% 1.84/0.62 thf(f223,plain,(
% 1.84/0.62 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (($true = (sK4 @ X1 @ X2 @ (sK2 @ X2))) | ($true = (X2 @ X3)) | ($false = (X1 @ X3))) )),
% 1.84/0.62 inference(binary_proxy_clausification,[],[f174])).
% 1.84/0.62 thf(f174,plain,(
% 1.84/0.62 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (($true = (sK4 @ X1 @ X2 @ (sK2 @ X2))) | ((X2 @ X3) = (X1 @ X3))) )),
% 1.84/0.62 inference(binary_proxy_clausification,[],[f149])).
% 1.84/0.62 thf(f149,plain,(
% 1.84/0.62 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : ((((X2 @ X3) = (X1 @ X3)) = $true) | ($true = (sK4 @ X1 @ X2 @ (sK2 @ X2)))) )),
% 1.84/0.62 inference(not_proxy_clausification,[],[f98])).
% 1.84/0.62 thf(f98,plain,(
% 1.84/0.62 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (($true = (sK4 @ X1 @ X2 @ (sK2 @ X2))) | ((~ ((X2 @ X3) = (X1 @ X3))) = $false)) )),
% 1.84/0.62 inference(not_proxy_clausification,[],[f76])).
% 1.84/0.62 thf(f76,plain,(
% 1.84/0.62 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (($false = (~ (sK4 @ X1 @ X2 @ (sK2 @ X2)))) | ((~ ((X2 @ X3) = (X1 @ X3))) = $false)) )),
% 1.84/0.62 inference(beta_eta_normalization,[],[f73])).
% 1.84/0.62 thf(f73,plain,(
% 1.84/0.62 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (($false = (~ (sK4 @ X1 @ X2 @ (sK2 @ X2)))) | ($false = ((^[Y0 : $i]: (~ ((X2 @ Y0) = (X1 @ Y0)))) @ X3))) )),
% 1.84/0.62 inference(pi_clausification,[],[f40])).
% 1.84/0.62 thf(f40,plain,(
% 1.84/0.62 ( ! [X2 : $i > $o,X1 : $i > $o] : (($false = (?? @ $i @ (^[Y0 : $i]: (~ ((X2 @ Y0) = (X1 @ Y0)))))) | ($false = (~ (sK4 @ X1 @ X2 @ (sK2 @ X2))))) )),
% 1.84/0.62 inference(binary_proxy_clausification,[],[f38])).
% 1.84/0.62 thf(f38,plain,(
% 1.84/0.62 ( ! [X2 : $i > $o,X1 : $i > $o] : (($false = ((~ (sK4 @ X1 @ X2 @ (sK2 @ X2))) | (sK4 @ X1 @ X2 @ (sK2 @ X1)))) | ($false = (?? @ $i @ (^[Y0 : $i]: (~ ((X2 @ Y0) = (X1 @ Y0))))))) )),
% 1.84/0.62 inference(beta_eta_normalization,[],[f35])).
% 1.84/0.62 thf(f35,plain,(
% 1.84/0.62 ( ! [X2 : $i > $o,X1 : $i > $o] : (($false = (?? @ $i @ (^[Y0 : $i]: (~ ((X2 @ Y0) = (X1 @ Y0)))))) | ($false = ((^[Y0 : $i > $o]: ((~ (Y0 @ (sK2 @ X2))) | (Y0 @ (sK2 @ X1)))) @ (sK4 @ X1 @ X2)))) )),
% 1.84/0.62 inference(sigma_clausification,[],[f20])).
% 1.84/0.62 thf(f20,plain,(
% 1.84/0.62 ( ! [X2 : $i > $o,X1 : $i > $o] : (($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((~ (Y0 @ (sK2 @ X2))) | (Y0 @ (sK2 @ X1)))))) | ($false = (?? @ $i @ (^[Y0 : $i]: (~ ((X2 @ Y0) = (X1 @ Y0))))))) )),
% 1.84/0.62 inference(binary_proxy_clausification,[],[f19])).
% 1.84/0.62 thf(f19,plain,(
% 1.84/0.62 ( ! [X2 : $i > $o,X1 : $i > $o] : (($false = ((?? @ $i @ (^[Y0 : $i]: (~ ((X2 @ Y0) = (X1 @ Y0))))) & (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((~ (Y0 @ (sK2 @ X2))) | (Y0 @ (sK2 @ X1)))))))) )),
% 1.84/0.62 inference(beta_eta_normalization,[],[f18])).
% 1.84/0.62 thf(f18,plain,(
% 1.84/0.62 ( ! [X2 : $i > $o,X1 : $i > $o] : (($false = ((^[Y0 : $i > $o]: ((?? @ $i @ (^[Y1 : $i]: (~ ((Y0 @ Y1) = (X1 @ Y1))))) & (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK2 @ Y0))) | (Y1 @ (sK2 @ X1))))))) @ X2))) )),
% 1.84/0.62 inference(pi_clausification,[],[f17])).
% 1.84/0.62 thf(f17,plain,(
% 1.84/0.62 ( ! [X1 : $i > $o] : (($false = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((?? @ $i @ (^[Y1 : $i]: (~ ((Y0 @ Y1) = (X1 @ Y1))))) & (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK2 @ Y0))) | (Y1 @ (sK2 @ X1)))))))))) )),
% 1.84/0.62 inference(beta_eta_normalization,[],[f16])).
% 1.84/0.62 thf(f16,plain,(
% 1.84/0.62 ( ! [X1 : $i > $o] : (($false = ((^[Y0 : $i > $o]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((?? @ $i @ (^[Y2 : $i]: (~ ((Y1 @ Y2) = (Y0 @ Y2))))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ (sK2 @ Y1))) | (Y2 @ (sK2 @ Y0))))))))) @ X1))) )),
% 1.84/0.62 inference(pi_clausification,[],[f15])).
% 1.84/0.62 thf(f15,plain,(
% 1.84/0.62 ($false = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((?? @ $i @ (^[Y2 : $i]: (~ ((Y1 @ Y2) = (Y0 @ Y2))))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ (sK2 @ Y1))) | (Y2 @ (sK2 @ Y0)))))))))))),
% 1.84/0.62 inference(boolean_simplification,[],[f14])).
% 1.84/0.62 thf(f14,plain,(
% 1.84/0.62 ($false = ((?? @ ($i > $o) @ (^[Y0 : $i > $o]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((?? @ $i @ (^[Y2 : $i]: (~ ((Y1 @ Y2) = (Y0 @ Y2))))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ (sK2 @ Y1))) | (Y2 @ (sK2 @ Y0)))))))))) | $false))),
% 1.84/0.62 inference(backward_demodulation,[],[f11,f12])).
% 1.84/0.62 thf(f12,plain,(
% 1.84/0.62 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ (sK2 @ Y0)) | (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK2 @ Y0))) & (Y1 @ (sK2 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ ($i > $o) @ (^[Y4 : $i > $o]: ((~ (Y4 @ Y2)) | (Y4 @ (sK2 @ Y3))))) & (~ (Y3 @ (sK2 @ Y3))))))))))))))))),
% 1.84/0.62 inference(binary_proxy_clausification,[],[f11])).
% 1.84/0.62 thf(f11,plain,(
% 1.84/0.62 ($false = ((?? @ ($i > $o) @ (^[Y0 : $i > $o]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((?? @ $i @ (^[Y2 : $i]: (~ ((Y1 @ Y2) = (Y0 @ Y2))))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ (sK2 @ Y1))) | (Y2 @ (sK2 @ Y0)))))))))) | (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ (sK2 @ Y0)) | (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK2 @ Y0))) & (Y1 @ (sK2 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ ($i > $o) @ (^[Y4 : $i > $o]: ((~ (Y4 @ Y2)) | (Y4 @ (sK2 @ Y3))))) & (~ (Y3 @ (sK2 @ Y3)))))))))))))))))),
% 1.84/0.62 inference(beta_eta_normalization,[],[f10])).
% 1.84/0.62 thf(f10,plain,(
% 1.84/0.62 ($false = ((^[Y0 : ($i > $o) > $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((?? @ $i @ (^[Y3 : $i]: (~ ((Y2 @ Y3) = (Y1 @ Y3))))) & (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((~ (Y3 @ (Y0 @ Y2))) | (Y3 @ (Y0 @ Y1)))))))))) | (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ (Y0 @ Y1)) | (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ (Y0 @ Y1))) & (Y2 @ (Y0 @ (^[Y3 : $i]: (?? @ ($i > $o) @ (^[Y4 : $i > $o]: ((!! @ ($i > $o) @ (^[Y5 : $i > $o]: ((~ (Y5 @ Y3)) | (Y5 @ (Y0 @ Y4))))) & (~ (Y4 @ (Y0 @ Y4))))))))))))))))) @ sK2))),
% 1.84/0.62 inference(sigma_clausification,[],[f7])).
% 1.84/0.62 thf(f7,plain,(
% 1.84/0.62 ((!! @ (($i > $o) > $i) @ (^[Y0 : ($i > $o) > $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((?? @ $i @ (^[Y3 : $i]: (~ ((Y2 @ Y3) = (Y1 @ Y3))))) & (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((~ (Y3 @ (Y0 @ Y2))) | (Y3 @ (Y0 @ Y1)))))))))) | (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ (Y0 @ Y1)) | (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ (Y0 @ Y1))) & (Y2 @ (Y0 @ (^[Y3 : $i]: (?? @ ($i > $o) @ (^[Y4 : $i > $o]: ((!! @ ($i > $o) @ (^[Y5 : $i > $o]: ((~ (Y5 @ Y3)) | (Y5 @ (Y0 @ Y4))))) & (~ (Y4 @ (Y0 @ Y4)))))))))))))))))) = $false)),
% 1.84/0.62 inference(not_proxy_clausification,[],[f6])).
% 1.84/0.62 thf(f6,plain,(
% 1.84/0.62 ($true = (~ (!! @ (($i > $o) > $i) @ (^[Y0 : ($i > $o) > $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((?? @ $i @ (^[Y3 : $i]: (~ ((Y2 @ Y3) = (Y1 @ Y3))))) & (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((~ (Y3 @ (Y0 @ Y2))) | (Y3 @ (Y0 @ Y1)))))))))) | (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ (Y0 @ Y1)) | (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ (Y0 @ Y1))) & (Y2 @ (Y0 @ (^[Y3 : $i]: (?? @ ($i > $o) @ (^[Y4 : $i > $o]: ((!! @ ($i > $o) @ (^[Y5 : $i > $o]: ((~ (Y5 @ Y3)) | (Y5 @ (Y0 @ Y4))))) & (~ (Y4 @ (Y0 @ Y4))))))))))))))))))))),
% 1.84/0.62 inference(cnf_transformation,[],[f5])).
% 1.84/0.62 thf(f5,plain,(
% 1.84/0.62 ($true = (~ (!! @ (($i > $o) > $i) @ (^[Y0 : ($i > $o) > $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((?? @ $i @ (^[Y3 : $i]: (~ ((Y2 @ Y3) = (Y1 @ Y3))))) & (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((~ (Y3 @ (Y0 @ Y2))) | (Y3 @ (Y0 @ Y1)))))))))) | (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ (Y0 @ Y1)) | (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ (Y0 @ Y1))) & (Y2 @ (Y0 @ (^[Y3 : $i]: (?? @ ($i > $o) @ (^[Y4 : $i > $o]: ((!! @ ($i > $o) @ (^[Y5 : $i > $o]: ((~ (Y5 @ Y3)) | (Y5 @ (Y0 @ Y4))))) & (~ (Y4 @ (Y0 @ Y4))))))))))))))))))))),
% 1.84/0.62 inference(fool_elimination,[],[f4])).
% 1.84/0.62 thf(f4,plain,(
% 1.84/0.62 ~! [X0 : ($i > $o) > $i] : (! [X1 : $i > $o] : (? [X2 : $i > $o] : ((X2 @ (X0 @ (^[X3 : $i] : (? [X4 : $i > $o] : (~(X4 @ (X0 @ X4)) & ! [X5 : $i > $o] : ((X5 @ (X0 @ X4)) | ~(X5 @ X3))))))) & ~(X2 @ (X0 @ X1))) | (X1 @ (X0 @ X1))) | ? [X6 : $i > $o,X7 : $i > $o] : (! [X8 : $i > $o] : ((X8 @ (X0 @ X7)) | ~(X8 @ (X0 @ X6))) & ? [X9] : ~((X6 @ X9) <=> (X7 @ X9))))),
% 1.84/0.62 inference(rectify,[],[f2])).
% 1.84/0.62 thf(f2,negated_conjecture,(
% 1.84/0.62 ~! [X0 : ($i > $o) > $i] : (! [X5 : $i > $o] : (? [X2 : $i > $o] : ((X2 @ (X0 @ (^[X6 : $i] : (? [X7 : $i > $o] : (~(X7 @ (X0 @ X7)) & ! [X8 : $i > $o] : ((X8 @ (X0 @ X7)) | ~(X8 @ X6))))))) & ~(X2 @ (X0 @ X5))) | (X5 @ (X0 @ X5))) | ? [X1 : $i > $o,X2 : $i > $o] : (! [X3 : $i > $o] : ((X3 @ (X0 @ X2)) | ~(X3 @ (X0 @ X1))) & ? [X4] : ~((X1 @ X4) <=> (X2 @ X4))))),
% 1.84/0.62 inference(negated_conjecture,[],[f1])).
% 1.84/0.62 thf(f1,conjecture,(
% 1.84/0.62 ! [X0 : ($i > $o) > $i] : (! [X5 : $i > $o] : (? [X2 : $i > $o] : ((X2 @ (X0 @ (^[X6 : $i] : (? [X7 : $i > $o] : (~(X7 @ (X0 @ X7)) & ! [X8 : $i > $o] : ((X8 @ (X0 @ X7)) | ~(X8 @ X6))))))) & ~(X2 @ (X0 @ X5))) | (X5 @ (X0 @ X5))) | ? [X1 : $i > $o,X2 : $i > $o] : (! [X3 : $i > $o] : ((X3 @ (X0 @ X2)) | ~(X3 @ (X0 @ X1))) & ? [X4] : ~((X1 @ X4) <=> (X2 @ X4))))),
% 1.84/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM143_EXPANDB)).
% 1.84/0.62 thf(f63,plain,(
% 1.84/0.62 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (($false = (sK4 @ X1 @ X2 @ (sK2 @ X1))) | ($true = (X1 @ X3)) | ($false = (X2 @ X3))) )),
% 1.84/0.62 inference(binary_proxy_clausification,[],[f53])).
% 1.84/0.62 thf(f53,plain,(
% 1.84/0.62 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (($false = (sK4 @ X1 @ X2 @ (sK2 @ X1))) | ((X2 @ X3) = (X1 @ X3))) )),
% 1.84/0.62 inference(binary_proxy_clausification,[],[f45])).
% 1.84/0.62 thf(f45,plain,(
% 1.84/0.62 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : ((((X2 @ X3) = (X1 @ X3)) = $true) | ($false = (sK4 @ X1 @ X2 @ (sK2 @ X1)))) )),
% 1.84/0.62 inference(not_proxy_clausification,[],[f44])).
% 1.84/0.62 thf(f44,plain,(
% 1.84/0.62 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (($false = (sK4 @ X1 @ X2 @ (sK2 @ X1))) | ((~ ((X2 @ X3) = (X1 @ X3))) = $false)) )),
% 1.84/0.62 inference(beta_eta_normalization,[],[f41])).
% 1.84/0.62 thf(f41,plain,(
% 1.84/0.62 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (($false = (sK4 @ X1 @ X2 @ (sK2 @ X1))) | ($false = ((^[Y0 : $i]: (~ ((X2 @ Y0) = (X1 @ Y0)))) @ X3))) )),
% 1.84/0.62 inference(pi_clausification,[],[f39])).
% 1.84/0.62 thf(f39,plain,(
% 1.84/0.62 ( ! [X2 : $i > $o,X1 : $i > $o] : (($false = (?? @ $i @ (^[Y0 : $i]: (~ ((X2 @ Y0) = (X1 @ Y0)))))) | ($false = (sK4 @ X1 @ X2 @ (sK2 @ X1)))) )),
% 1.84/0.62 inference(binary_proxy_clausification,[],[f38])).
% 1.84/0.62 thf(f1574,plain,(
% 1.84/0.62 ~spl0_2 | ~spl0_6),
% 1.84/0.62 inference(avatar_contradiction_clause,[],[f1573])).
% 1.84/0.62 thf(f1573,plain,(
% 1.84/0.62 $false | (~spl0_2 | ~spl0_6)),
% 1.84/0.62 inference(trivial_inequality_removal,[],[f1572])).
% 1.84/0.62 thf(f1572,plain,(
% 1.84/0.62 ($false = $true) | (~spl0_2 | ~spl0_6)),
% 1.84/0.62 inference(boolean_simplification,[],[f1571])).
% 1.84/0.62 thf(f1571,plain,(
% 1.84/0.62 ($false = (~ $false)) | (~spl0_2 | ~spl0_6)),
% 1.84/0.62 inference(trivial_inequality_removal,[],[f1546])).
% 1.84/0.62 thf(f1546,plain,(
% 1.84/0.62 ($false = $true) | ($false = (~ $false)) | (~spl0_2 | ~spl0_6)),
% 1.84/0.62 inference(superposition,[],[f1493,f24])).
% 1.84/0.62 thf(f24,plain,(
% 1.84/0.62 ($false = (sK3 @ (sK2 @ sK3)))),
% 1.84/0.62 inference(binary_proxy_clausification,[],[f22])).
% 1.84/0.62 thf(f22,plain,(
% 1.84/0.62 ($false = ((sK3 @ (sK2 @ sK3)) | (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((~ (Y0 @ (sK2 @ sK3))) & (Y0 @ (sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((~ (Y3 @ Y1)) | (Y3 @ (sK2 @ Y2))))) & (~ (Y2 @ (sK2 @ Y2))))))))))))))),
% 1.84/0.62 inference(beta_eta_normalization,[],[f21])).
% 1.84/0.62 thf(f21,plain,(
% 1.84/0.62 ($false = ((^[Y0 : $i > $o]: ((Y0 @ (sK2 @ Y0)) | (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK2 @ Y0))) & (Y1 @ (sK2 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ ($i > $o) @ (^[Y4 : $i > $o]: ((~ (Y4 @ Y2)) | (Y4 @ (sK2 @ Y3))))) & (~ (Y3 @ (sK2 @ Y3)))))))))))))) @ sK3))),
% 1.84/0.62 inference(sigma_clausification,[],[f12])).
% 1.84/0.62 thf(f1493,plain,(
% 1.84/0.62 ( ! [X0 : $i > $o] : (($false = (~ (X0 @ (sK2 @ X0)))) | ($true = (sK3 @ (sK2 @ X0)))) ) | (~spl0_2 | ~spl0_6)),
% 1.84/0.62 inference(trivial_inequality_removal,[],[f1492])).
% 1.84/0.62 thf(f1492,plain,(
% 1.84/0.62 ( ! [X0 : $i > $o] : (($true = (sK3 @ (sK2 @ X0))) | ($false = (~ (X0 @ (sK2 @ X0)))) | ($false = $true)) ) | (~spl0_2 | ~spl0_6)),
% 1.84/0.62 inference(boolean_simplification,[],[f1491])).
% 1.84/0.62 thf(f1491,plain,(
% 1.84/0.62 ( ! [X0 : $i > $o] : (($false = ((~ $true) | $true)) | ($false = (~ (X0 @ (sK2 @ X0)))) | ($true = (sK3 @ (sK2 @ X0)))) ) | (~spl0_2 | ~spl0_6)),
% 1.84/0.62 inference(duplicate_literal_removal,[],[f1484])).
% 1.84/0.62 thf(f1484,plain,(
% 1.84/0.62 ( ! [X0 : $i > $o] : (($false = (~ (X0 @ (sK2 @ X0)))) | ($false = (~ (X0 @ (sK2 @ X0)))) | ($true = (sK3 @ (sK2 @ X0))) | ($true = (sK3 @ (sK2 @ X0))) | ($false = ((~ $true) | $true))) ) | (~spl0_2 | ~spl0_6)),
% 1.84/0.62 inference(superposition,[],[f1397,f1426])).
% 1.84/0.62 thf(f1426,plain,(
% 1.84/0.62 ( ! [X0 : $i > $o,X1 : $i] : (((sK6 @ X0 @ X1 @ X1) = $true) | ($false = (~ (X0 @ (sK2 @ X0)))) | ($true = (sK3 @ X1))) ) | (~spl0_2 | ~spl0_6)),
% 1.84/0.62 inference(not_proxy_clausification,[],[f1420])).
% 1.84/0.62 thf(f1420,plain,(
% 1.84/0.62 ( ! [X0 : $i > $o,X1 : $i] : (($false = (~ (sK6 @ X0 @ X1 @ X1))) | ($true = (sK3 @ X1)) | ($false = (~ (X0 @ (sK2 @ X0))))) ) | (~spl0_2 | ~spl0_6)),
% 1.84/0.62 inference(trivial_inequality_removal,[],[f1419])).
% 1.84/0.62 thf(f1419,plain,(
% 1.84/0.62 ( ! [X0 : $i > $o,X1 : $i] : (($false = (~ (sK6 @ X0 @ X1 @ X1))) | ($false = $true) | ($true = (sK3 @ X1)) | ($false = (~ (X0 @ (sK2 @ X0))))) ) | (~spl0_2 | ~spl0_6)),
% 1.84/0.62 inference(boolean_simplification,[],[f1412])).
% 1.84/0.62 thf(f1412,plain,(
% 1.84/0.62 ( ! [X0 : $i > $o,X1 : $i] : (($false = (~ (X0 @ (sK2 @ X0)))) | ($false = ($true | (sK6 @ X0 @ X1 @ (sK2 @ X0)))) | ($false = (~ (sK6 @ X0 @ X1 @ X1))) | ($true = (sK3 @ X1))) ) | (~spl0_2 | ~spl0_6)),
% 1.84/0.62 inference(superposition,[],[f1397,f148])).
% 1.84/0.62 thf(f148,plain,(
% 1.84/0.62 ( ! [X1 : $i,X4 : $i > $o] : (($true = (~ (X4 @ X1))) | ($false = (~ (X4 @ X1)))) ) | ~spl0_2),
% 1.84/0.62 inference(beta_eta_normalization,[],[f116])).
% 1.84/0.62 thf(f116,plain,(
% 1.84/0.62 ( ! [X1 : $i,X4 : $i > $o] : (($true = ((^[Y0 : $i]: (~ (X4 @ Y0))) @ X1)) | ($false = ((^[Y0 : $i]: (~ (X4 @ Y0))) @ X1))) ) | ~spl0_2),
% 1.84/0.62 inference(primitive_instantiation,[],[f96])).
% 1.84/0.62 thf(f96,plain,(
% 1.84/0.62 ( ! [X0 : $i > $o,X1 : $i] : (($true = (X0 @ X1)) | ($false = (X0 @ X1))) ) | ~spl0_2),
% 1.84/0.62 inference(avatar_component_clause,[],[f95])).
% 1.84/0.62 thf(f1397,plain,(
% 1.84/0.62 ( ! [X0 : $i,X1 : $i > $o] : (($false = ((~ (sK6 @ X1 @ X0 @ X0)) | (sK6 @ X1 @ X0 @ (sK2 @ X1)))) | ((~ (X1 @ (sK2 @ X1))) = $false) | ((sK3 @ X0) = $true)) ) | ~spl0_6),
% 1.84/0.62 inference(beta_eta_normalization,[],[f1390])).
% 1.84/0.62 thf(f1390,plain,(
% 1.84/0.62 ( ! [X0 : $i,X1 : $i > $o] : (((sK3 @ X0) = $true) | ((~ (X1 @ (sK2 @ X1))) = $false) | (((^[Y0 : $i > $o]: ((~ (Y0 @ X0)) | (Y0 @ (sK2 @ X1)))) @ (sK6 @ X1 @ X0)) = $false)) ) | ~spl0_6),
% 1.84/0.62 inference(sigma_clausification,[],[f1311])).
% 1.84/0.62 thf(f1311,plain,(
% 1.84/0.62 ( ! [X0 : $i,X1 : $i > $o] : (($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((~ (Y0 @ X0)) | (Y0 @ (sK2 @ X1)))))) | ((~ (X1 @ (sK2 @ X1))) = $false) | ((sK3 @ X0) = $true)) ) | ~spl0_6),
% 1.84/0.62 inference(binary_proxy_clausification,[],[f1271])).
% 1.84/0.62 thf(f1271,plain,(
% 1.84/0.62 ( ! [X0 : $i,X1 : $i > $o] : (($false = ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((~ (Y0 @ X0)) | (Y0 @ (sK2 @ X1))))) & (~ (X1 @ (sK2 @ X1))))) | ((sK3 @ X0) = $true)) ) | ~spl0_6),
% 1.84/0.62 inference(beta_eta_normalization,[],[f1266])).
% 1.84/0.62 thf(f1266,plain,(
% 1.84/0.62 ( ! [X0 : $i,X1 : $i > $o] : (((sK3 @ X0) = $true) | ($false = ((^[Y0 : $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ X0)) | (Y1 @ (sK2 @ Y0))))) & (~ (Y0 @ (sK2 @ Y0))))) @ X1))) ) | ~spl0_6),
% 1.84/0.62 inference(pi_clausification,[],[f537])).
% 1.84/0.62 thf(f537,plain,(
% 1.84/0.62 ( ! [X0 : $i] : (($false = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ X0)) | (Y1 @ (sK2 @ Y0))))) & (~ (Y0 @ (sK2 @ Y0))))))) | ((sK3 @ X0) = $true)) ) | ~spl0_6),
% 1.84/0.62 inference(avatar_component_clause,[],[f536])).
% 1.84/0.62 thf(f536,plain,(
% 1.84/0.62 spl0_6 <=> ! [X0] : (((sK3 @ X0) = $true) | ($false = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ X0)) | (Y1 @ (sK2 @ Y0))))) & (~ (Y0 @ (sK2 @ Y0))))))))),
% 1.84/0.62 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
% 1.84/0.62 thf(f552,plain,(
% 1.84/0.62 spl0_6 | ~spl0_4),
% 1.84/0.62 inference(avatar_split_clause,[],[f550,f527,f536])).
% 1.84/0.62 thf(f527,plain,(
% 1.84/0.62 spl0_4 <=> ! [X0] : ((sK3 @ X0) = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ X0)) | (Y1 @ (sK2 @ Y0))))) & (~ (Y0 @ (sK2 @ Y0)))))))),
% 1.84/0.62 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 1.84/0.62 thf(f550,plain,(
% 1.84/0.62 ( ! [X0 : $i] : (($false = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ X0)) | (Y1 @ (sK2 @ Y0))))) & (~ (Y0 @ (sK2 @ Y0))))))) | ((sK3 @ X0) = $true)) ) | ~spl0_4),
% 1.84/0.62 inference(binary_proxy_clausification,[],[f528])).
% 1.84/0.62 thf(f528,plain,(
% 1.84/0.62 ( ! [X0 : $i] : (((sK3 @ X0) = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ X0)) | (Y1 @ (sK2 @ Y0))))) & (~ (Y0 @ (sK2 @ Y0)))))))) ) | ~spl0_4),
% 1.84/0.62 inference(avatar_component_clause,[],[f527])).
% 1.84/0.62 thf(f546,plain,(
% 1.84/0.62 spl0_6 | spl0_4),
% 1.84/0.62 inference(avatar_split_clause,[],[f503,f527,f536])).
% 1.84/0.62 thf(f503,plain,(
% 1.84/0.62 ( ! [X0 : $i,X1 : $i] : (($true = (sK3 @ X1)) | ($false = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ X1)) | (Y1 @ (sK2 @ Y0))))) & (~ (Y0 @ (sK2 @ Y0))))))) | ((sK3 @ X0) = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ X0)) | (Y1 @ (sK2 @ Y0))))) & (~ (Y0 @ (sK2 @ Y0)))))))) )),
% 1.84/0.62 inference(beta_eta_normalization,[],[f502])).
% 1.84/0.62 thf(f502,plain,(
% 1.84/0.62 ( ! [X0 : $i,X1 : $i] : (($false = ((^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK2 @ Y1))))) & (~ (Y1 @ (sK2 @ Y1))))))) @ X1)) | ((sK3 @ X0) = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ X0)) | (Y1 @ (sK2 @ Y0))))) & (~ (Y0 @ (sK2 @ Y0))))))) | ($true = (sK3 @ X1))) )),
% 1.84/0.62 inference(trivial_inequality_removal,[],[f490])).
% 1.84/0.62 thf(f490,plain,(
% 1.84/0.62 ( ! [X0 : $i,X1 : $i] : (($true = (sK3 @ X1)) | ((sK3 @ X0) = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ X0)) | (Y1 @ (sK2 @ Y0))))) & (~ (Y0 @ (sK2 @ Y0))))))) | ($false = $true) | ($false = ((^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK2 @ Y1))))) & (~ (Y1 @ (sK2 @ Y1))))))) @ X1))) )),
% 1.84/0.62 inference(superposition,[],[f372,f63])).
% 1.84/0.62 thf(f372,plain,(
% 1.84/0.62 ( ! [X0 : $i > $o,X1 : $i] : (($true = (sK4 @ X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK2 @ Y1))))) & (~ (Y1 @ (sK2 @ Y1))))))) @ (sK2 @ sK3))) | ((X0 @ X1) = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ X1)) | (Y1 @ (sK2 @ Y0))))) & (~ (Y0 @ (sK2 @ Y0)))))))) )),
% 1.84/0.62 inference(beta_eta_normalization,[],[f371])).
% 1.84/0.62 thf(f371,plain,(
% 1.84/0.62 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ X1) = ((^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK2 @ Y1))))) & (~ (Y1 @ (sK2 @ Y1))))))) @ X1)) | ($true = (sK4 @ X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK2 @ Y1))))) & (~ (Y1 @ (sK2 @ Y1))))))) @ (sK2 @ sK3)))) )),
% 1.84/0.62 inference(trivial_inequality_removal,[],[f359])).
% 1.84/0.62 thf(f359,plain,(
% 1.84/0.62 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ X1) = ((^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK2 @ Y1))))) & (~ (Y1 @ (sK2 @ Y1))))))) @ X1)) | ($false = $true) | ($true = (sK4 @ X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK2 @ Y1))))) & (~ (Y1 @ (sK2 @ Y1))))))) @ (sK2 @ sK3)))) )),
% 1.84/0.62 inference(superposition,[],[f174,f267])).
% 1.84/0.62 thf(f267,plain,(
% 1.84/0.62 ( ! [X1 : $i > $o] : (($false = (X1 @ (sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK2 @ Y1))))) & (~ (Y1 @ (sK2 @ Y1)))))))))) | ($true = (X1 @ (sK2 @ sK3)))) )),
% 1.84/0.62 inference(not_proxy_clausification,[],[f29])).
% 1.84/0.62 thf(f29,plain,(
% 1.84/0.62 ( ! [X1 : $i > $o] : (($false = (X1 @ (sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK2 @ Y1))))) & (~ (Y1 @ (sK2 @ Y1)))))))))) | ($false = (~ (X1 @ (sK2 @ sK3))))) )),
% 1.84/0.62 inference(binary_proxy_clausification,[],[f28])).
% 1.84/0.62 thf(f28,plain,(
% 1.84/0.62 ( ! [X1 : $i > $o] : (($false = ((~ (X1 @ (sK2 @ sK3))) & (X1 @ (sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK2 @ Y1))))) & (~ (Y1 @ (sK2 @ Y1)))))))))))) )),
% 1.84/0.62 inference(beta_eta_normalization,[],[f27])).
% 1.84/0.62 thf(f27,plain,(
% 1.84/0.62 ( ! [X1 : $i > $o] : (($false = ((^[Y0 : $i > $o]: ((~ (Y0 @ (sK2 @ sK3))) & (Y0 @ (sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((~ (Y3 @ Y1)) | (Y3 @ (sK2 @ Y2))))) & (~ (Y2 @ (sK2 @ Y2))))))))))) @ X1))) )),
% 1.84/0.62 inference(pi_clausification,[],[f26])).
% 1.84/0.62 thf(f26,plain,(
% 1.84/0.62 ($false = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((~ (Y0 @ (sK2 @ sK3))) & (Y0 @ (sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((~ (Y3 @ Y1)) | (Y3 @ (sK2 @ Y2))))) & (~ (Y2 @ (sK2 @ Y2)))))))))))))),
% 1.84/0.62 inference(boolean_simplification,[],[f25])).
% 1.84/0.62 thf(f25,plain,(
% 1.84/0.62 ($false = ($false | (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((~ (Y0 @ (sK2 @ sK3))) & (Y0 @ (sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((~ (Y3 @ Y1)) | (Y3 @ (sK2 @ Y2))))) & (~ (Y2 @ (sK2 @ Y2))))))))))))))),
% 1.84/0.62 inference(backward_demodulation,[],[f22,f24])).
% 1.84/0.62 % SZS output end Proof for theBenchmark
% 1.84/0.62 % (19284)------------------------------
% 1.84/0.62 % (19284)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.84/0.62 % (19284)Termination reason: Refutation
% 1.84/0.62
% 1.84/0.62 % (19284)Memory used [KB]: 6268
% 1.84/0.62 % (19284)Time elapsed: 0.220 s
% 1.84/0.62 % (19284)Instructions burned: 374 (million)
% 1.84/0.62 % (19284)------------------------------
% 1.84/0.62 % (19284)------------------------------
% 1.84/0.62 % (19272)Success in time 0.261 s
% 1.84/0.62 % Vampire---4.8 exiting
%------------------------------------------------------------------------------