TSTP Solution File: PHI003^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : PHI003^1 : TPTP v8.2.0. Released v6.1.0.
% 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 : n018.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 02:18:41 EDT 2024
% Result : Theorem 1.51s 0.58s
% Output : Refutation 1.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : PHI003^1 : TPTP v8.2.0. Released v6.1.0.
% 0.13/0.16 % 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
% 0.16/0.38 % Computer : n018.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Sat May 18 14:48:38 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.16/0.38 This is a TH0_THM_EQU_NAR problem
% 0.16/0.38 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
% 0.16/0.40 % (15073)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)
% 0.16/0.40 % (15071)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)
% 0.16/0.40 % (15072)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.16/0.40 % (15070)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)
% 0.16/0.40 % (15069)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.40 % (15068)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)
% 0.16/0.40 % (15067)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)
% 0.16/0.40 % (15069)Instruction limit reached!
% 0.16/0.40 % (15069)------------------------------
% 0.16/0.40 % (15069)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (15069)Termination reason: Unknown
% 0.16/0.40 % (15069)Termination phase: shuffling
% 0.16/0.40
% 0.16/0.40 % (15070)Instruction limit reached!
% 0.16/0.40 % (15070)------------------------------
% 0.16/0.40 % (15070)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (15070)Termination reason: Unknown
% 0.16/0.40 % (15070)Termination phase: shuffling
% 0.16/0.40
% 0.16/0.40 % (15070)Memory used [KB]: 1023
% 0.16/0.40 % (15070)Time elapsed: 0.003 s
% 0.16/0.40 % (15070)Instructions burned: 2 (million)
% 0.16/0.40 % (15070)------------------------------
% 0.16/0.40 % (15070)------------------------------
% 0.16/0.40 % (15069)Memory used [KB]: 1023
% 0.16/0.40 % (15069)Time elapsed: 0.002 s
% 0.16/0.40 % (15069)Instructions burned: 2 (million)
% 0.16/0.40 % (15069)------------------------------
% 0.16/0.40 % (15069)------------------------------
% 0.16/0.40 % (15073)Instruction limit reached!
% 0.16/0.40 % (15073)------------------------------
% 0.16/0.40 % (15073)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (15073)Termination reason: Unknown
% 0.16/0.40 % (15073)Termination phase: shuffling
% 0.16/0.40
% 0.16/0.40 % (15073)Memory used [KB]: 1023
% 0.16/0.40 % (15073)Time elapsed: 0.003 s
% 0.16/0.40 % (15073)Instructions burned: 3 (million)
% 0.16/0.40 % (15073)------------------------------
% 0.16/0.40 % (15073)------------------------------
% 0.16/0.40 % (15067)Instruction limit reached!
% 0.16/0.40 % (15067)------------------------------
% 0.16/0.40 % (15067)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (15067)Termination reason: Unknown
% 0.16/0.40 % (15067)Termination phase: Property scanning
% 0.16/0.40
% 0.16/0.40 % (15067)Memory used [KB]: 1023
% 0.16/0.40 % (15067)Time elapsed: 0.004 s
% 0.16/0.40 % (15067)Instructions burned: 5 (million)
% 0.16/0.40 % (15067)------------------------------
% 0.16/0.40 % (15067)------------------------------
% 0.16/0.40 % (15071)Refutation not found, incomplete strategy
% 0.16/0.40 % (15071)------------------------------
% 0.16/0.40 % (15071)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (15071)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.40
% 0.16/0.40
% 0.16/0.40 % (15071)Memory used [KB]: 5500
% 0.16/0.40 % (15071)Time elapsed: 0.005 s
% 0.16/0.40 % (15071)Instructions burned: 5 (million)
% 0.16/0.40 % (15071)------------------------------
% 0.16/0.40 % (15071)------------------------------
% 0.16/0.41 % (15072)Instruction limit reached!
% 0.16/0.41 % (15072)------------------------------
% 0.16/0.41 % (15072)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (15072)Termination reason: Unknown
% 0.16/0.41 % (15072)Termination phase: Saturation
% 0.16/0.41
% 0.16/0.41 % (15072)Memory used [KB]: 5756
% 0.16/0.41 % (15072)Time elapsed: 0.013 s
% 0.16/0.41 % (15072)Instructions burned: 19 (million)
% 0.16/0.41 % (15072)------------------------------
% 0.16/0.41 % (15072)------------------------------
% 0.16/0.41 % (15066)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.16/0.42 % (15076)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)
% 0.16/0.42 % (15074)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)
% 0.16/0.42 % (15075)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)
% 0.16/0.42 % (15076)Instruction limit reached!
% 0.16/0.42 % (15076)------------------------------
% 0.16/0.42 % (15076)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.42 % (15076)Termination reason: Unknown
% 0.16/0.42 % (15076)Termination phase: Property scanning
% 0.16/0.42
% 0.16/0.42 % (15076)Memory used [KB]: 1023
% 0.16/0.42 % (15076)Time elapsed: 0.003 s
% 0.16/0.42 % (15076)Instructions burned: 3 (million)
% 0.16/0.42 % (15076)------------------------------
% 0.16/0.42 % (15076)------------------------------
% 0.16/0.42 % (15077)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)
% 0.16/0.42 % (15078)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.42 % (15068)Instruction limit reached!
% 0.16/0.42 % (15068)------------------------------
% 0.16/0.42 % (15068)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.42 % (15068)Termination reason: Unknown
% 0.16/0.42 % (15068)Termination phase: Saturation
% 0.16/0.42
% 0.16/0.42 % (15068)Memory used [KB]: 5756
% 0.16/0.42 % (15068)Time elapsed: 0.020 s
% 0.16/0.42 % (15068)Instructions burned: 27 (million)
% 0.16/0.42 % (15068)------------------------------
% 0.16/0.42 % (15068)------------------------------
% 0.16/0.42 % (15078)Instruction limit reached!
% 0.16/0.42 % (15078)------------------------------
% 0.16/0.42 % (15078)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.42 % (15078)Termination reason: Unknown
% 0.16/0.42 % (15078)Termination phase: Function definition elimination
% 0.16/0.42
% 0.16/0.42 % (15078)Memory used [KB]: 1023
% 0.16/0.42 % (15078)Time elapsed: 0.005 s
% 0.16/0.42 % (15078)Instructions burned: 7 (million)
% 0.16/0.42 % (15078)------------------------------
% 0.16/0.42 % (15078)------------------------------
% 0.16/0.43 % (15075)Refutation not found, incomplete strategy
% 0.16/0.43 % (15075)------------------------------
% 0.16/0.43 % (15075)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.43 % (15075)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.43
% 0.16/0.43
% 0.16/0.43 % (15075)Memory used [KB]: 5628
% 0.16/0.43 % (15075)Time elapsed: 0.009 s
% 0.16/0.43 % (15075)Instructions burned: 13 (million)
% 0.16/0.43 % (15075)------------------------------
% 0.16/0.43 % (15075)------------------------------
% 0.16/0.43 % (15079)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.16/0.44 % (15080)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)
% 0.16/0.44 % (15080)Instruction limit reached!
% 0.16/0.44 % (15080)------------------------------
% 0.16/0.44 % (15080)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.44 % (15080)Termination reason: Unknown
% 0.16/0.44 % (15080)Termination phase: Property scanning
% 0.16/0.44
% 0.16/0.44 % (15080)Memory used [KB]: 1023
% 0.16/0.44 % (15080)Time elapsed: 0.004 s
% 0.16/0.44 % (15080)Instructions burned: 4 (million)
% 0.16/0.44 % (15080)------------------------------
% 0.16/0.44 % (15080)------------------------------
% 0.16/0.44 % (15082)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)
% 0.16/0.44 % (15079)Instruction limit reached!
% 0.16/0.44 % (15079)------------------------------
% 0.16/0.44 % (15079)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.44 % (15079)Termination reason: Unknown
% 0.16/0.44 % (15079)Termination phase: Saturation
% 0.16/0.44
% 0.16/0.44 % (15079)Memory used [KB]: 5628
% 0.16/0.44 % (15079)Time elapsed: 0.011 s
% 0.16/0.44 % (15079)Instructions burned: 16 (million)
% 0.16/0.44 % (15079)------------------------------
% 0.16/0.44 % (15079)------------------------------
% 0.24/0.44 % (15081)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)
% 0.24/0.44 % (15082)Instruction limit reached!
% 0.24/0.44 % (15082)------------------------------
% 0.24/0.44 % (15082)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.44 % (15081)Instruction limit reached!
% 0.24/0.44 % (15081)------------------------------
% 0.24/0.44 % (15081)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.44 % (15081)Termination reason: Unknown
% 0.24/0.44 % (15081)Termination phase: shuffling
% 0.24/0.44
% 0.24/0.44 % (15081)Memory used [KB]: 1023
% 0.24/0.44 % (15081)Time elapsed: 0.003 s
% 0.24/0.44 % (15081)Instructions burned: 3 (million)
% 0.24/0.44 % (15081)------------------------------
% 0.24/0.44 % (15081)------------------------------
% 0.24/0.44 % (15082)Termination reason: Unknown
% 0.24/0.44 % (15082)Termination phase: Saturation
% 0.24/0.44
% 0.24/0.44 % (15082)Memory used [KB]: 1023
% 0.24/0.44 % (15082)Time elapsed: 0.005 s
% 0.24/0.44 % (15082)Instructions burned: 7 (million)
% 0.24/0.44 % (15082)------------------------------
% 0.24/0.44 % (15082)------------------------------
% 0.24/0.44 % (15074)Instruction limit reached!
% 0.24/0.44 % (15074)------------------------------
% 0.24/0.44 % (15074)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.44 % (15074)Termination reason: Unknown
% 0.24/0.44 % (15074)Termination phase: Saturation
% 0.24/0.44
% 0.24/0.44 % (15074)Memory used [KB]: 5756
% 0.24/0.44 % (15074)Time elapsed: 0.026 s
% 0.24/0.44 % (15074)Instructions burned: 37 (million)
% 0.24/0.44 % (15074)------------------------------
% 0.24/0.44 % (15074)------------------------------
% 0.24/0.45 % (15083)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)
% 0.24/0.45 % (15084)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.24/0.45 % (15083)Instruction limit reached!
% 0.24/0.45 % (15083)------------------------------
% 0.24/0.45 % (15083)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.45 % (15083)Termination reason: Unknown
% 0.24/0.45 % (15083)Termination phase: Property scanning
% 0.24/0.45
% 0.24/0.45 % (15083)Memory used [KB]: 1023
% 0.24/0.46 % (15083)Time elapsed: 0.004 s
% 0.24/0.46 % (15083)Instructions burned: 3 (million)
% 0.24/0.46 % (15083)------------------------------
% 0.24/0.46 % (15083)------------------------------
% 0.24/0.46 % (15085)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)
% 0.24/0.46 % (15084)Instruction limit reached!
% 0.24/0.46 % (15084)------------------------------
% 0.24/0.46 % (15084)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.46 % (15084)Termination reason: Unknown
% 0.24/0.46 % (15084)Termination phase: Property scanning
% 0.24/0.46
% 0.24/0.46 % (15084)Memory used [KB]: 1023
% 0.24/0.46 % (15084)Time elapsed: 0.004 s
% 0.24/0.46 % (15084)Instructions burned: 5 (million)
% 0.24/0.46 % (15084)------------------------------
% 0.24/0.46 % (15084)------------------------------
% 0.24/0.46 % (15087)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.24/0.46 % (15086)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.24/0.46 % (15088)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)
% 0.24/0.46 % (15087)Instruction limit reached!
% 0.24/0.46 % (15087)------------------------------
% 0.24/0.46 % (15087)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.46 % (15087)Termination reason: Unknown
% 0.24/0.46 % (15087)Termination phase: Property scanning
% 0.24/0.46
% 0.24/0.46 % (15087)Memory used [KB]: 1023
% 0.24/0.46 % (15087)Time elapsed: 0.005 s
% 0.24/0.46 % (15087)Instructions burned: 7 (million)
% 0.24/0.46 % (15087)------------------------------
% 0.24/0.46 % (15087)------------------------------
% 0.24/0.46 % (15088)Refutation not found, incomplete strategy
% 0.24/0.46 % (15088)------------------------------
% 0.24/0.46 % (15088)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.46 % (15088)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.46
% 0.24/0.46
% 0.24/0.46 % (15088)Memory used [KB]: 5500
% 0.24/0.46 % (15088)Time elapsed: 0.005 s
% 0.24/0.46 % (15088)Instructions burned: 6 (million)
% 0.24/0.46 % (15088)------------------------------
% 0.24/0.46 % (15088)------------------------------
% 0.24/0.46 % (15086)Refutation not found, incomplete strategy
% 0.24/0.46 % (15086)------------------------------
% 0.24/0.46 % (15086)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.46 % (15086)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.46
% 0.24/0.46
% 0.24/0.46 % (15086)Memory used [KB]: 5628
% 0.24/0.46 % (15086)Time elapsed: 0.008 s
% 0.24/0.46 % (15086)Instructions burned: 11 (million)
% 0.24/0.46 % (15086)------------------------------
% 0.24/0.46 % (15086)------------------------------
% 0.24/0.47 % (15085)Instruction limit reached!
% 0.24/0.47 % (15085)------------------------------
% 0.24/0.47 % (15085)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.47 % (15085)Termination reason: Unknown
% 0.24/0.47 % (15085)Termination phase: Saturation
% 0.24/0.47
% 0.24/0.47 % (15085)Memory used [KB]: 5628
% 0.24/0.47 % (15085)Time elapsed: 0.013 s
% 0.24/0.47 % (15085)Instructions burned: 18 (million)
% 0.24/0.47 % (15085)------------------------------
% 0.24/0.47 % (15085)------------------------------
% 0.24/0.47 % (15089)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)
% 0.24/0.47 % (15090)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.24/0.47 % (15090)Instruction limit reached!
% 0.24/0.47 % (15090)------------------------------
% 0.24/0.47 % (15090)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.47 % (15090)Termination reason: Unknown
% 0.24/0.47 % (15090)Termination phase: Property scanning
% 0.24/0.47
% 0.24/0.47 % (15090)Memory used [KB]: 1023
% 0.24/0.47 % (15090)Time elapsed: 0.004 s
% 0.24/0.47 % (15090)Instructions burned: 5 (million)
% 0.24/0.47 % (15090)------------------------------
% 0.24/0.47 % (15090)------------------------------
% 0.24/0.48 % (15091)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)
% 0.24/0.48 % (15092)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.24/0.48 % (15093)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)
% 0.24/0.48 % (15089)Instruction limit reached!
% 0.24/0.48 % (15089)------------------------------
% 0.24/0.48 % (15089)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.48 % (15089)Termination reason: Unknown
% 0.24/0.48 % (15089)Termination phase: Saturation
% 0.24/0.48
% 0.24/0.48 % (15089)Memory used [KB]: 5756
% 0.24/0.48 % (15089)Time elapsed: 0.013 s
% 0.24/0.48 % (15089)Instructions burned: 23 (million)
% 0.24/0.48 % (15089)------------------------------
% 0.24/0.48 % (15089)------------------------------
% 0.24/0.48 % (15091)Instruction limit reached!
% 0.24/0.48 % (15091)------------------------------
% 0.24/0.48 % (15091)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.48 % (15091)Termination reason: Unknown
% 0.24/0.48 % (15091)Termination phase: Property scanning
% 0.24/0.48
% 0.24/0.48 % (15091)Memory used [KB]: 1023
% 0.24/0.48 % (15091)Time elapsed: 0.005 s
% 0.24/0.48 % (15091)Instructions burned: 6 (million)
% 0.24/0.48 % (15091)------------------------------
% 0.24/0.48 % (15091)------------------------------
% 0.24/0.49 % (15095)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)
% 0.24/0.49 % (15096)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.24/0.49 % (15094)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)
% 0.24/0.49 % (15066)Instruction limit reached!
% 0.24/0.49 % (15066)------------------------------
% 0.24/0.49 % (15066)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.49 % (15066)Termination reason: Unknown
% 0.24/0.49 % (15066)Termination phase: Saturation
% 0.24/0.49
% 0.24/0.49 % (15066)Memory used [KB]: 7036
% 0.24/0.49 % (15066)Time elapsed: 0.081 s
% 0.24/0.49 % (15066)Instructions burned: 184 (million)
% 0.24/0.49 % (15066)------------------------------
% 0.24/0.49 % (15066)------------------------------
% 0.24/0.49 % (15093)Refutation not found, incomplete strategy
% 0.24/0.49 % (15093)------------------------------
% 0.24/0.49 % (15093)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.49 % (15093)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.49
% 0.24/0.49
% 0.24/0.49 % (15093)Memory used [KB]: 5756
% 0.24/0.49 % (15093)Time elapsed: 0.014 s
% 0.24/0.49 % (15093)Instructions burned: 26 (million)
% 0.24/0.49 % (15093)------------------------------
% 0.24/0.49 % (15093)------------------------------
% 0.24/0.50 % (15096)Instruction limit reached!
% 0.24/0.50 % (15096)------------------------------
% 0.24/0.50 % (15096)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.50 % (15096)Termination reason: Unknown
% 0.24/0.50 % (15096)Termination phase: Saturation
% 0.24/0.50
% 0.24/0.50 % (15096)Memory used [KB]: 5628
% 0.24/0.50 % (15096)Time elapsed: 0.007 s
% 0.24/0.50 % (15096)Instructions burned: 18 (million)
% 0.24/0.50 % (15096)------------------------------
% 0.24/0.50 % (15096)------------------------------
% 0.24/0.50 % (15094)Refutation not found, incomplete strategy
% 0.24/0.50 % (15094)------------------------------
% 0.24/0.50 % (15094)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.50 % (15094)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.50
% 0.24/0.50
% 0.24/0.50 % (15094)Memory used [KB]: 5628
% 0.24/0.50 % (15094)Time elapsed: 0.008 s
% 0.24/0.50 % (15094)Instructions burned: 11 (million)
% 0.24/0.50 % (15094)------------------------------
% 0.24/0.50 % (15094)------------------------------
% 0.24/0.50 % (15097)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.24/0.50 % (15098)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.24/0.50 % (15097)Instruction limit reached!
% 0.24/0.50 % (15097)------------------------------
% 0.24/0.50 % (15097)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.50 % (15097)Termination reason: Unknown
% 0.24/0.50 % (15097)Termination phase: shuffling
% 0.24/0.50
% 0.24/0.50 % (15097)Memory used [KB]: 1023
% 0.24/0.50 % (15097)Time elapsed: 0.003 s
% 0.24/0.50 % (15097)Instructions burned: 3 (million)
% 0.24/0.50 % (15097)------------------------------
% 0.24/0.50 % (15097)------------------------------
% 0.24/0.50 % (15099)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2999ds/127Mi)
% 0.24/0.51 % (15098)Refutation not found, incomplete strategy
% 0.24/0.51 % (15098)------------------------------
% 0.24/0.51 % (15098)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.51 % (15098)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.51
% 0.24/0.51
% 0.24/0.51 % (15098)Memory used [KB]: 5628
% 0.24/0.51 % (15098)Time elapsed: 0.009 s
% 0.24/0.51 % (15098)Instructions burned: 24 (million)
% 0.24/0.51 % (15098)------------------------------
% 0.24/0.51 % (15098)------------------------------
% 0.24/0.51 % (15101)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.24/0.51 % (15102)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 0.24/0.51 % (15101)Instruction limit reached!
% 0.24/0.51 % (15101)------------------------------
% 0.24/0.51 % (15101)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.51 % (15101)Termination reason: Unknown
% 0.24/0.51 % (15101)Termination phase: shuffling
% 0.24/0.51
% 0.24/0.51 % (15101)Memory used [KB]: 1023
% 0.24/0.51 % (15101)Time elapsed: 0.003 s
% 0.24/0.51 % (15101)Instructions burned: 3 (million)
% 0.24/0.51 % (15101)------------------------------
% 0.24/0.51 % (15101)------------------------------
% 0.24/0.52 % (15100)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.24/0.52 % (15102)Refutation not found, incomplete strategy
% 0.24/0.52 % (15102)------------------------------
% 0.24/0.52 % (15102)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.52 % (15102)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.52
% 0.24/0.52
% 0.24/0.52 % (15102)Memory used [KB]: 5628
% 0.24/0.52 % (15102)Time elapsed: 0.028 s
% 0.24/0.52 % (15102)Instructions burned: 12 (million)
% 0.24/0.52 % (15102)------------------------------
% 0.24/0.52 % (15102)------------------------------
% 0.24/0.53 % (15105)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 0.24/0.53 % (15103)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 0.24/0.54 % (15104)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 0.24/0.54 % (15105)Instruction limit reached!
% 0.24/0.54 % (15105)------------------------------
% 0.24/0.54 % (15105)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.54 % (15105)Termination reason: Unknown
% 0.24/0.54 % (15105)Termination phase: Saturation
% 0.24/0.54
% 0.24/0.54 % (15105)Memory used [KB]: 5756
% 0.24/0.54 % (15105)Time elapsed: 0.015 s
% 0.24/0.54 % (15105)Instructions burned: 41 (million)
% 0.24/0.54 % (15105)------------------------------
% 0.24/0.54 % (15105)------------------------------
% 1.38/0.55 % (15106)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2998ds/448Mi)
% 1.38/0.56 % (15099)Instruction limit reached!
% 1.38/0.56 % (15099)------------------------------
% 1.38/0.56 % (15099)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.38/0.56 % (15099)Termination reason: Unknown
% 1.38/0.56 % (15099)Termination phase: Saturation
% 1.38/0.56
% 1.38/0.56 % (15099)Memory used [KB]: 6396
% 1.38/0.56 % (15099)Time elapsed: 0.073 s
% 1.38/0.56 % (15099)Instructions burned: 129 (million)
% 1.38/0.56 % (15099)------------------------------
% 1.38/0.56 % (15099)------------------------------
% 1.38/0.57 % (15104)Instruction limit reached!
% 1.38/0.57 % (15104)------------------------------
% 1.38/0.57 % (15104)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.38/0.57 % (15104)Termination reason: Unknown
% 1.38/0.57 % (15104)Termination phase: Saturation
% 1.38/0.57
% 1.38/0.57 % (15104)Memory used [KB]: 5756
% 1.38/0.57 % (15104)Time elapsed: 0.059 s
% 1.38/0.57 % (15104)Instructions burned: 108 (million)
% 1.38/0.57 % (15104)------------------------------
% 1.38/0.57 % (15104)------------------------------
% 1.51/0.57 % (15100)Instruction limit reached!
% 1.51/0.57 % (15100)------------------------------
% 1.51/0.57 % (15100)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.51/0.57 % (15100)Termination reason: Unknown
% 1.51/0.57 % (15100)Termination phase: Saturation
% 1.51/0.57
% 1.51/0.57 % (15100)Memory used [KB]: 5756
% 1.51/0.57 % (15100)Time elapsed: 0.082 s
% 1.51/0.57 % (15100)Instructions burned: 101 (million)
% 1.51/0.57 % (15100)------------------------------
% 1.51/0.57 % (15100)------------------------------
% 1.51/0.58 % (15077)First to succeed.
% 1.51/0.58 % (15103)Instruction limit reached!
% 1.51/0.58 % (15103)------------------------------
% 1.51/0.58 % (15103)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.51/0.58 % (15103)Termination reason: Unknown
% 1.51/0.58 % (15103)Termination phase: Saturation
% 1.51/0.58
% 1.51/0.58 % (15103)Memory used [KB]: 6012
% 1.51/0.58 % (15103)Time elapsed: 0.075 s
% 1.51/0.58 % (15103)Instructions burned: 86 (million)
% 1.51/0.58 % (15103)------------------------------
% 1.51/0.58 % (15103)------------------------------
% 1.51/0.58 % (15108)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2998ds/98Mi)
% 1.51/0.58 % (15107)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 1.51/0.58 % (15077)Refutation found. Thanks to Tanya!
% 1.51/0.58 % SZS status Theorem for theBenchmark
% 1.51/0.58 % SZS output start Proof for theBenchmark
% 1.51/0.58 thf(type_def_5, type, mu: $tType).
% 1.51/0.58 thf(func_def_0, type, mu: $tType).
% 1.51/0.58 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 1.51/0.58 thf(func_def_2, type, mtrue: $i > $o).
% 1.51/0.58 thf(func_def_3, type, mfalse: $i > $o).
% 1.51/0.58 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 1.51/0.58 thf(func_def_6, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 1.51/0.58 thf(func_def_7, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 1.51/0.58 thf(func_def_8, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 1.51/0.58 thf(func_def_9, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 1.51/0.58 thf(func_def_10, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 1.51/0.58 thf(func_def_11, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 1.51/0.58 thf(func_def_12, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 1.51/0.58 thf(func_def_13, type, mforall_indset: ((mu > $i > $o) > $i > $o) > $i > $o).
% 1.51/0.58 thf(func_def_14, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 1.51/0.58 thf(func_def_15, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 1.51/0.58 thf(func_def_16, type, mexists_indset: ((mu > $i > $o) > $i > $o) > $i > $o).
% 1.51/0.58 thf(func_def_17, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 1.51/0.58 thf(func_def_18, type, mbox_generic: ($i > $i > $o) > ($i > $o) > $i > $o).
% 1.51/0.58 thf(func_def_19, type, mdia_generic: ($i > $i > $o) > ($i > $o) > $i > $o).
% 1.51/0.58 thf(func_def_20, type, rel: $i > $i > $o).
% 1.51/0.58 thf(func_def_21, type, mbox: ($i > $o) > $i > $o).
% 1.51/0.58 thf(func_def_22, type, mdia: ($i > $o) > $i > $o).
% 1.51/0.58 thf(func_def_23, type, mvalid: ($i > $o) > $o).
% 1.51/0.58 thf(func_def_24, type, minvalid: ($i > $o) > $o).
% 1.51/0.58 thf(func_def_25, type, positive: (mu > $i > $o) > $i > $o).
% 1.51/0.58 thf(func_def_26, type, god: mu > $i > $o).
% 1.51/0.58 thf(func_def_27, type, essence: (mu > $i > $o) > mu > $i > $o).
% 1.51/0.58 thf(func_def_28, type, necessary_existence: mu > $i > $o).
% 1.51/0.58 thf(func_def_47, type, ph1: !>[X0: $tType]:(X0)).
% 1.51/0.58 thf(func_def_49, type, sK3: $i > $i).
% 1.51/0.58 thf(func_def_50, type, sK4: mu > mu > $i > $o).
% 1.51/0.58 thf(func_def_51, type, sK5: $i > $i).
% 1.51/0.58 thf(func_def_52, type, sK6: $i > $i).
% 1.51/0.58 thf(func_def_53, type, sK7: $i > $i).
% 1.51/0.58 thf(func_def_54, type, sK8: $i > mu).
% 1.51/0.58 thf(func_def_55, type, sK9: $i > mu).
% 1.51/0.58 thf(func_def_56, type, sK10: mu > mu > $i > $o).
% 1.51/0.58 thf(func_def_57, type, sK11: $i > mu).
% 1.51/0.58 thf(f997,plain,(
% 1.51/0.58 $false),
% 1.51/0.58 inference(trivial_inequality_removal,[],[f996])).
% 1.51/0.58 thf(f996,plain,(
% 1.51/0.58 ($false = $true)),
% 1.51/0.58 inference(boolean_simplification,[],[f995])).
% 1.51/0.58 thf(f995,plain,(
% 1.51/0.58 ($false = (~ $false))),
% 1.51/0.58 inference(superposition,[],[f946,f411])).
% 1.51/0.58 thf(f411,plain,(
% 1.51/0.58 ( ! [X1 : mu] : (((!! @ (mu > $i > $o) @ (^[Y0 : mu > $i > $o]: ((positive @ Y0 @ (sK3 @ sK2)) => (Y0 @ X1 @ (sK3 @ sK2))))) = $false)) )),
% 1.51/0.58 inference(beta_eta_normalization,[],[f408])).
% 1.51/0.58 thf(f408,plain,(
% 1.51/0.58 ( ! [X1 : mu] : ((((^[Y0 : mu]: (!! @ (mu > $i > $o) @ (^[Y1 : mu > $i > $o]: ((positive @ Y1 @ (sK3 @ sK2)) => (Y1 @ Y0 @ (sK3 @ sK2)))))) @ X1) = $false)) )),
% 1.51/0.58 inference(pi_clausification,[],[f389])).
% 1.51/0.58 thf(f389,plain,(
% 1.51/0.58 ((?? @ mu @ (^[Y0 : mu]: (!! @ (mu > $i > $o) @ (^[Y1 : mu > $i > $o]: ((positive @ Y1 @ (sK3 @ sK2)) => (Y1 @ Y0 @ (sK3 @ sK2))))))) = $false)),
% 1.51/0.58 inference(boolean_simplification,[],[f388])).
% 1.51/0.58 thf(f388,plain,(
% 1.51/0.58 (($true & (?? @ mu @ (^[Y0 : mu]: (!! @ (mu > $i > $o) @ (^[Y1 : mu > $i > $o]: ((positive @ Y1 @ (sK3 @ sK2)) => (Y1 @ Y0 @ (sK3 @ sK2)))))))) = $false)),
% 1.51/0.58 inference(superposition,[],[f173,f369])).
% 1.51/0.58 thf(f369,plain,(
% 1.51/0.58 ( ! [X0 : $i] : (($true = (rel @ X0 @ (sK3 @ X0)))) )),
% 1.51/0.58 inference(not_proxy_clausification,[],[f356])).
% 1.51/0.58 thf(f356,plain,(
% 1.51/0.58 ( ! [X0 : $i] : (($false = (~ (rel @ X0 @ (sK3 @ X0))))) )),
% 1.51/0.58 inference(boolean_simplification,[],[f355])).
% 1.51/0.58 thf(f355,plain,(
% 1.51/0.58 ( ! [X0 : $i] : ((((~ (rel @ X0 @ (sK3 @ X0))) | $false) = $false)) )),
% 1.51/0.58 inference(backward_demodulation,[],[f336,f353])).
% 1.51/0.58 thf(f353,plain,(
% 1.51/0.58 ( ! [X0 : $i] : (($false = (!! @ mu @ (^[Y0 : mu]: (~ (!! @ (mu > $i > $o) @ (^[Y1 : mu > $i > $o]: ((positive @ Y1 @ (sK3 @ X0)) => (Y1 @ Y0 @ (sK3 @ X0)))))))))) )),
% 1.51/0.58 inference(binary_proxy_clausification,[],[f336])).
% 1.51/0.58 thf(f336,plain,(
% 1.51/0.58 ( ! [X0 : $i] : (($false = ((~ (rel @ X0 @ (sK3 @ X0))) | (!! @ mu @ (^[Y0 : mu]: (~ (!! @ (mu > $i > $o) @ (^[Y1 : mu > $i > $o]: ((positive @ Y1 @ (sK3 @ X0)) => (Y1 @ Y0 @ (sK3 @ X0))))))))))) )),
% 1.51/0.58 inference(beta_eta_normalization,[],[f335])).
% 1.51/0.58 thf(f335,plain,(
% 1.51/0.58 ( ! [X0 : $i] : ((((^[Y0 : $i]: ((~ (rel @ X0 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: (~ (!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: ((positive @ Y2 @ Y0) => (Y2 @ Y1 @ Y0))))))))) @ (sK3 @ X0)) = $false)) )),
% 1.51/0.58 inference(sigma_clausification,[],[f318])).
% 1.51/0.58 thf(f318,plain,(
% 1.51/0.58 ( ! [X0 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((~ (rel @ X0 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: (~ (!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: ((positive @ Y2 @ Y0) => (Y2 @ Y1 @ Y0)))))))))))) )),
% 1.51/0.58 inference(not_proxy_clausification,[],[f303])).
% 1.51/0.58 thf(f303,plain,(
% 1.51/0.58 ( ! [X0 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel @ X0 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: (~ (!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: ((positive @ Y2 @ Y0) => (Y2 @ Y1 @ Y0))))))))))) = $true)) )),
% 1.51/0.58 inference(boolean_simplification,[],[f302])).
% 1.51/0.58 thf(f302,plain,(
% 1.51/0.58 ( ! [X0 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel @ X0 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: ((positive @ Y2 @ Y0) => (Y2 @ Y1 @ Y0)))) => (~ (!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: ((positive @ Y2 @ Y0) => (Y2 @ Y1 @ Y0)))))))))))))) )),
% 1.51/0.58 inference(boolean_simplification,[],[f301])).
% 1.51/0.58 thf(f301,plain,(
% 1.51/0.58 ( ! [X0 : $i] : (($true = (~ ($true & (!! @ $i @ (^[Y0 : $i]: ((~ (rel @ X0 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: ((positive @ Y2 @ Y0) => (Y2 @ Y1 @ Y0)))) => (~ (!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: ((positive @ Y2 @ Y0) => (Y2 @ Y1 @ Y0))))))))))))))) )),
% 1.51/0.58 inference(beta_eta_normalization,[],[f300])).
% 1.51/0.58 thf(f300,plain,(
% 1.51/0.58 ( ! [X0 : $i] : (((~ ($true & (!! @ $i @ (^[Y0 : $i]: ((~ (rel @ X0 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: (((^[Y2 : mu]: ((^[Y3 : $i]: (!! @ (mu > $i > $o) @ (^[Y4 : mu > $i > $o]: ((positive @ Y4 @ Y3) => (Y4 @ Y2 @ Y3))))))) @ Y1 @ Y0) => (~ (!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: ((positive @ Y2 @ Y0) => (Y2 @ Y1 @ Y0))))))))))))) = $true)) )),
% 1.51/0.58 inference(superposition,[],[f206,f141])).
% 1.51/0.58 thf(f141,plain,(
% 1.51/0.58 ( ! [X1 : $i] : (((positive @ (^[Y0 : mu]: ((^[Y1 : $i]: (!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: ((positive @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))) @ X1) = $true)) )),
% 1.51/0.58 inference(pi_clausification,[],[f139])).
% 1.51/0.58 thf(f139,plain,(
% 1.51/0.58 ($true = (!! @ $i @ (positive @ (^[Y0 : mu]: ((^[Y1 : $i]: (!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: ((positive @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))))))),
% 1.51/0.58 inference(beta_eta_normalization,[],[f132])).
% 1.51/0.58 thf(f132,plain,(
% 1.51/0.58 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ (positive @ (^[Y0 : mu]: ((^[Y1 : (mu > $i > $o) > $i > $o]: ((^[Y2 : $i]: (!! @ (mu > $i > $o) @ (^[Y3 : mu > $i > $o]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) => (Y3 @ Y4))))))) @ (positive @ Y1) @ (Y1 @ Y0))))))))),
% 1.51/0.58 inference(definition_unfolding,[],[f104,f116,f126])).
% 1.51/0.58 thf(f126,plain,(
% 1.51/0.58 (god = (^[Y0 : mu]: ((^[Y1 : (mu > $i > $o) > $i > $o]: ((^[Y2 : $i]: (!! @ (mu > $i > $o) @ (^[Y3 : mu > $i > $o]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) => (Y3 @ Y4))))))) @ (positive @ Y1) @ (Y1 @ Y0))))))),
% 1.51/0.58 inference(definition_unfolding,[],[f106,f96,f123])).
% 1.51/0.58 thf(f123,plain,(
% 1.51/0.58 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 1.51/0.58 inference(cnf_transformation,[],[f58])).
% 1.51/0.58 thf(f58,plain,(
% 1.51/0.58 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 1.51/0.58 inference(fool_elimination,[],[f57])).
% 1.51/0.58 thf(f57,plain,(
% 1.51/0.58 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) => (X1 @ X2))) = mimplies)),
% 1.51/0.58 inference(rectify,[],[f7])).
% 1.51/0.58 thf(f7,axiom,(
% 1.51/0.58 ((^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) => (X4 @ X2))) = mimplies)),
% 1.51/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies)).
% 1.51/0.58 thf(f96,plain,(
% 1.51/0.58 (mforall_indset = (^[Y0 : (mu > $i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: (Y0 @ Y2 @ Y1)))))))),
% 1.51/0.58 inference(cnf_transformation,[],[f48])).
% 1.51/0.58 thf(f48,plain,(
% 1.51/0.58 (mforall_indset = (^[Y0 : (mu > $i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: (Y0 @ Y2 @ Y1)))))))),
% 1.51/0.58 inference(fool_elimination,[],[f47])).
% 1.51/0.58 thf(f47,plain,(
% 1.51/0.58 (mforall_indset = (^[X0 : (mu > $i > $o) > $i > $o, X1 : $i] : (! [X2 : mu > $i > $o] : (X0 @ X2 @ X1))))),
% 1.51/0.58 inference(rectify,[],[f12])).
% 1.51/0.58 thf(f12,axiom,(
% 1.51/0.58 (mforall_indset = (^[X3 : (mu > $i > $o) > $i > $o, X2 : $i] : (! [X0 : mu > $i > $o] : (X3 @ X0 @ X2))))),
% 1.51/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_indset)).
% 1.51/0.58 thf(f106,plain,(
% 1.51/0.58 (god = (^[Y0 : mu]: (mforall_indset @ (^[Y1 : mu > $i > $o]: (mimplies @ (positive @ Y1) @ (Y1 @ Y0))))))),
% 1.51/0.58 inference(cnf_transformation,[],[f62])).
% 1.51/0.58 thf(f62,plain,(
% 1.51/0.58 (god = (^[Y0 : mu]: (mforall_indset @ (^[Y1 : mu > $i > $o]: (mimplies @ (positive @ Y1) @ (Y1 @ Y0))))))),
% 1.51/0.58 inference(fool_elimination,[],[f61])).
% 1.51/0.58 thf(f61,plain,(
% 1.51/0.58 (god = (^[X0 : mu] : (mforall_indset @ (^[X1 : mu > $i > $o] : (mimplies @ (positive @ X1) @ (X1 @ X0))))))),
% 1.51/0.58 inference(rectify,[],[f25])).
% 1.51/0.58 thf(f25,axiom,(
% 1.51/0.58 (god = (^[X0 : mu] : (mforall_indset @ (^[X3 : mu > $i > $o] : (mimplies @ (positive @ X3) @ (X3 @ X0))))))),
% 1.51/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',defD1)).
% 1.51/0.58 thf(f116,plain,(
% 1.51/0.58 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 1.51/0.58 inference(cnf_transformation,[],[f35])).
% 1.51/0.58 thf(f35,plain,(
% 1.51/0.58 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 1.51/0.58 inference(fool_elimination,[],[f34])).
% 1.51/0.58 thf(f34,plain,(
% 1.51/0.58 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 1.51/0.58 inference(rectify,[],[f21])).
% 1.51/0.58 thf(f21,axiom,(
% 1.51/0.58 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))),
% 1.51/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)).
% 1.51/0.58 thf(f104,plain,(
% 1.51/0.58 ((mvalid @ (positive @ god)) = $true)),
% 1.51/0.58 inference(cnf_transformation,[],[f39])).
% 1.51/0.58 thf(f39,plain,(
% 1.51/0.58 ((mvalid @ (positive @ god)) = $true)),
% 1.51/0.58 inference(fool_elimination,[],[f38])).
% 1.51/0.58 thf(f38,plain,(
% 1.51/0.58 (mvalid @ (positive @ god))),
% 1.51/0.58 inference(rectify,[],[f26])).
% 1.51/0.58 thf(f26,axiom,(
% 1.51/0.58 (mvalid @ (positive @ god))),
% 1.51/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axA3)).
% 1.51/0.58 thf(f206,plain,(
% 1.51/0.58 ( ! [X0 : $i,X1 : mu > $i > $o] : (((~ ((positive @ X1 @ X0) & (!! @ $i @ (^[Y0 : $i]: ((~ (rel @ X0 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((X1 @ Y1 @ Y0) => (~ (!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: ((positive @ Y2 @ Y0) => (Y2 @ Y1 @ Y0))))))))))))) = $true)) )),
% 1.51/0.58 inference(boolean_simplification,[],[f205])).
% 1.51/0.58 thf(f205,plain,(
% 1.51/0.58 ( ! [X0 : $i,X1 : mu > $i > $o] : (((((positive @ X1 @ X0) & (!! @ $i @ (^[Y0 : $i]: ((~ (rel @ X0 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((X1 @ Y1 @ Y0) => (~ (!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: ((positive @ Y2 @ Y0) => (Y2 @ Y1 @ Y0)))))))))))) => $false) = $true)) )),
% 1.51/0.58 inference(boolean_simplification,[],[f204])).
% 1.51/0.58 thf(f204,plain,(
% 1.51/0.58 ( ! [X0 : $i,X1 : mu > $i > $o] : (($true = (((positive @ X1 @ X0) & (!! @ $i @ (^[Y0 : $i]: ((~ (rel @ X0 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((X1 @ Y1 @ Y0) => (~ (!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: ((positive @ Y2 @ Y0) => (Y2 @ Y1 @ Y0)))))))))))) => (~ $true)))) )),
% 1.51/0.58 inference(beta_eta_normalization,[],[f201])).
% 1.51/0.58 thf(f201,plain,(
% 1.51/0.58 ( ! [X0 : $i,X1 : mu > $i > $o] : (((((positive @ X1 @ X0) & (!! @ $i @ (^[Y0 : $i]: ((~ (rel @ X0 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((X1 @ Y1 @ Y0) => (~ ((^[Y2 : mu]: ((^[Y3 : $i]: (!! @ (mu > $i > $o) @ (^[Y4 : mu > $i > $o]: ((positive @ Y4 @ Y3) => (Y4 @ Y2 @ Y3))))))) @ Y1 @ Y0))))))))) => (~ $true)) = $true)) )),
% 1.51/0.58 inference(superposition,[],[f196,f141])).
% 1.51/0.58 thf(f196,plain,(
% 1.51/0.58 ( ! [X2 : mu > $i > $o,X0 : mu > $i > $o,X1 : $i] : (((((positive @ X2 @ X1) & (!! @ $i @ (^[Y0 : $i]: ((~ (rel @ X1 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((X2 @ Y1 @ Y0) => (~ (X0 @ Y1 @ Y0))))))))) => (~ (positive @ X0 @ X1))) = $true)) )),
% 1.51/0.58 inference(beta_eta_normalization,[],[f188])).
% 1.51/0.58 thf(f188,plain,(
% 1.51/0.58 ( ! [X2 : mu > $i > $o,X0 : mu > $i > $o,X1 : $i] : (($true = (((positive @ X2 @ X1) & (!! @ $i @ (^[Y0 : $i]: ((~ (rel @ X1 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((X2 @ Y1 @ Y0) => ((^[Y2 : mu]: ((^[Y3 : $i]: (~ (X0 @ Y2 @ Y3))))) @ Y1 @ Y0)))))))) => (~ (positive @ X0 @ X1))))) )),
% 1.51/0.58 inference(superposition,[],[f186,f146])).
% 1.51/0.58 thf(f146,plain,(
% 1.51/0.58 ( ! [X2 : mu > $i > $o,X1 : $i] : (((positive @ (^[Y0 : mu]: ((^[Y1 : $i]: (~ (X2 @ Y0 @ Y1))))) @ X1) = (~ (positive @ X2 @ X1)))) )),
% 1.51/0.58 inference(binary_proxy_clausification,[],[f145])).
% 1.51/0.58 thf(f145,plain,(
% 1.51/0.58 ( ! [X2 : mu > $i > $o,X1 : $i] : (($true = ((~ (positive @ X2 @ X1)) = (positive @ (^[Y0 : mu]: ((^[Y1 : $i]: (~ (X2 @ Y0 @ Y1))))) @ X1)))) )),
% 1.51/0.58 inference(beta_eta_normalization,[],[f144])).
% 1.51/0.58 thf(f144,plain,(
% 1.51/0.58 ( ! [X2 : mu > $i > $o,X1 : $i] : ((((^[Y0 : mu > $i > $o]: ((~ (positive @ Y0 @ X1)) = (positive @ (^[Y1 : mu]: ((^[Y2 : $i]: (~ (Y0 @ Y1 @ Y2))))) @ X1))) @ X2) = $true)) )),
% 1.51/0.58 inference(pi_clausification,[],[f143])).
% 1.51/0.58 thf(f143,plain,(
% 1.51/0.58 ( ! [X1 : $i] : (($true = (!! @ (mu > $i > $o) @ (^[Y0 : mu > $i > $o]: ((~ (positive @ Y0 @ X1)) = (positive @ (^[Y1 : mu]: ((^[Y2 : $i]: (~ (Y0 @ Y1 @ Y2))))) @ X1)))))) )),
% 1.51/0.58 inference(beta_eta_normalization,[],[f142])).
% 1.51/0.58 thf(f142,plain,(
% 1.51/0.58 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ (mu > $i > $o) @ (^[Y1 : mu > $i > $o]: ((~ (positive @ Y1 @ Y0)) = (positive @ (^[Y2 : mu]: ((^[Y3 : $i]: (~ (Y1 @ Y2 @ Y3))))) @ Y0))))) @ X1) = $true)) )),
% 1.51/0.58 inference(pi_clausification,[],[f138])).
% 1.51/0.58 thf(f138,plain,(
% 1.51/0.58 ((!! @ $i @ (^[Y0 : $i]: (!! @ (mu > $i > $o) @ (^[Y1 : mu > $i > $o]: ((~ (positive @ Y1 @ Y0)) = (positive @ (^[Y2 : mu]: ((^[Y3 : $i]: (~ (Y1 @ Y2 @ Y3))))) @ Y0)))))) = $true)),
% 1.51/0.58 inference(beta_eta_normalization,[],[f130])).
% 1.51/0.58 thf(f130,plain,(
% 1.51/0.58 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : (mu > $i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: ((Y2 @ Y3) = (Y1 @ Y3))))))) @ (positive @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ (Y0 @ Y1)))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ (positive @ Y0)))))) = $true)),
% 1.51/0.58 inference(definition_unfolding,[],[f97,f116,f96,f122,f113,f113])).
% 1.51/0.58 thf(f113,plain,(
% 1.51/0.58 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 1.51/0.58 inference(cnf_transformation,[],[f54])).
% 1.51/0.58 thf(f54,plain,(
% 1.51/0.58 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 1.51/0.58 inference(fool_elimination,[],[f53])).
% 1.51/0.58 thf(f53,plain,(
% 1.51/0.58 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 1.51/0.58 inference(rectify,[],[f4])).
% 1.51/0.58 thf(f4,axiom,(
% 1.51/0.58 (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))),
% 1.51/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)).
% 1.51/0.58 thf(f122,plain,(
% 1.51/0.58 (mequiv = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) = (Y0 @ Y2))))))))),
% 1.51/0.58 inference(cnf_transformation,[],[f72])).
% 1.51/0.58 thf(f72,plain,(
% 1.51/0.58 (mequiv = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) = (Y0 @ Y2))))))))),
% 1.51/0.58 inference(fool_elimination,[],[f71])).
% 1.51/0.58 thf(f71,plain,(
% 1.51/0.58 (mequiv = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) <=> (X0 @ X2))))),
% 1.51/0.58 inference(rectify,[],[f9])).
% 1.51/0.58 thf(f9,axiom,(
% 1.51/0.58 (mequiv = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) <=> (X3 @ X2))))),
% 1.51/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mequiv)).
% 1.51/0.58 thf(f97,plain,(
% 1.51/0.58 ((mvalid @ (mforall_indset @ (^[Y0 : mu > $i > $o]: (mequiv @ (positive @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))) @ (mnot @ (positive @ Y0)))))) = $true)),
% 1.51/0.58 inference(cnf_transformation,[],[f75])).
% 1.51/0.58 thf(f75,plain,(
% 1.51/0.58 ((mvalid @ (mforall_indset @ (^[Y0 : mu > $i > $o]: (mequiv @ (positive @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))) @ (mnot @ (positive @ Y0)))))) = $true)),
% 1.51/0.58 inference(fool_elimination,[],[f74])).
% 1.51/0.58 thf(f74,plain,(
% 1.51/0.58 (mvalid @ (mforall_indset @ (^[X0 : mu > $i > $o] : (mequiv @ (positive @ (^[X1 : mu] : (mnot @ (X0 @ X1)))) @ (mnot @ (positive @ X0))))))),
% 1.51/0.58 inference(rectify,[],[f23])).
% 1.51/0.58 thf(f23,axiom,(
% 1.51/0.58 (mvalid @ (mforall_indset @ (^[X3 : mu > $i > $o] : (mequiv @ (positive @ (^[X0 : mu] : (mnot @ (X3 @ X0)))) @ (mnot @ (positive @ X3))))))),
% 1.51/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axA1)).
% 1.51/0.58 thf(f186,plain,(
% 1.51/0.58 ( ! [X2 : mu > $i > $o,X3 : mu > $i > $o,X1 : $i] : (($true = (((positive @ X2 @ X1) & (!! @ $i @ (^[Y0 : $i]: ((~ (rel @ X1 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((X2 @ Y1 @ Y0) => (X3 @ Y1 @ Y0)))))))) => (positive @ X3 @ X1)))) )),
% 1.51/0.58 inference(beta_eta_normalization,[],[f185])).
% 1.51/0.58 thf(f185,plain,(
% 1.51/0.58 ( ! [X2 : mu > $i > $o,X3 : mu > $i > $o,X1 : $i] : (($true = ((^[Y0 : mu > $i > $o]: (((positive @ X2 @ X1) & (!! @ $i @ (^[Y1 : $i]: ((~ (rel @ X1 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((X2 @ Y2 @ Y1) => (Y0 @ Y2 @ Y1)))))))) => (positive @ Y0 @ X1))) @ X3))) )),
% 1.51/0.58 inference(pi_clausification,[],[f184])).
% 1.51/0.58 thf(f184,plain,(
% 1.51/0.58 ( ! [X2 : mu > $i > $o,X1 : $i] : (((!! @ (mu > $i > $o) @ (^[Y0 : mu > $i > $o]: (((positive @ X2 @ X1) & (!! @ $i @ (^[Y1 : $i]: ((~ (rel @ X1 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((X2 @ Y2 @ Y1) => (Y0 @ Y2 @ Y1)))))))) => (positive @ Y0 @ X1)))) = $true)) )),
% 1.51/0.58 inference(beta_eta_normalization,[],[f183])).
% 1.51/0.58 thf(f183,plain,(
% 1.51/0.58 ( ! [X2 : mu > $i > $o,X1 : $i] : (($true = ((^[Y0 : mu > $i > $o]: (!! @ (mu > $i > $o) @ (^[Y1 : mu > $i > $o]: (((positive @ Y0 @ X1) & (!! @ $i @ (^[Y2 : $i]: ((~ (rel @ X1 @ Y2)) | (!! @ mu @ (^[Y3 : mu]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2)))))))) => (positive @ Y1 @ X1))))) @ X2))) )),
% 1.51/0.58 inference(pi_clausification,[],[f182])).
% 1.51/0.58 thf(f182,plain,(
% 1.51/0.58 ( ! [X1 : $i] : (((!! @ (mu > $i > $o) @ (^[Y0 : mu > $i > $o]: (!! @ (mu > $i > $o) @ (^[Y1 : mu > $i > $o]: (((positive @ Y0 @ X1) & (!! @ $i @ (^[Y2 : $i]: ((~ (rel @ X1 @ Y2)) | (!! @ mu @ (^[Y3 : mu]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2)))))))) => (positive @ Y1 @ X1)))))) = $true)) )),
% 1.51/0.58 inference(beta_eta_normalization,[],[f181])).
% 1.51/0.58 thf(f181,plain,(
% 1.51/0.58 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ (mu > $i > $o) @ (^[Y1 : mu > $i > $o]: (!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: (((positive @ Y1 @ Y0) & (!! @ $i @ (^[Y3 : $i]: ((~ (rel @ Y0 @ Y3)) | (!! @ mu @ (^[Y4 : mu]: ((Y1 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3)))))))) => (positive @ Y2 @ Y0))))))) @ X1))) )),
% 1.51/0.58 inference(pi_clausification,[],[f136])).
% 1.51/0.58 thf(f136,plain,(
% 1.51/0.58 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ (mu > $i > $o) @ (^[Y1 : mu > $i > $o]: (!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: (((positive @ Y1 @ Y0) & (!! @ $i @ (^[Y3 : $i]: ((~ (rel @ Y0 @ Y3)) | (!! @ mu @ (^[Y4 : mu]: ((Y1 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3)))))))) => (positive @ Y2 @ Y0)))))))))),
% 1.51/0.58 inference(beta_eta_normalization,[],[f134])).
% 1.51/0.58 thf(f134,plain,(
% 1.51/0.58 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : (mu > $i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : mu > $i > $o]: ((^[Y1 : (mu > $i > $o) > $i > $o]: ((^[Y2 : $i]: (!! @ (mu > $i > $o) @ (^[Y3 : mu > $i > $o]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) => (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) & (Y3 @ Y4))))))) @ (positive @ Y0) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y2 @ Y4 @ Y5)) | (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : mu > $i > $o]: ((^[Y3 : $i]: (!! @ mu @ (^[Y4 : mu]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : mu]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) => (Y4 @ Y5))))))) @ (Y0 @ Y2) @ (Y1 @ Y2)))))) @ (positive @ Y1))))))))),
% 1.51/0.58 inference(definition_unfolding,[],[f117,f116,f96,f96,f123,f101,f124,f95,f123])).
% 1.51/0.58 thf(f95,plain,(
% 1.51/0.58 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 1.51/0.58 inference(cnf_transformation,[],[f56])).
% 1.51/0.58 thf(f56,plain,(
% 1.51/0.58 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 1.51/0.58 inference(fool_elimination,[],[f55])).
% 1.51/0.58 thf(f55,plain,(
% 1.51/0.58 (mforall_ind = (^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : (X0 @ X2 @ X1))))),
% 1.51/0.58 inference(rectify,[],[f11])).
% 1.51/0.58 thf(f11,axiom,(
% 1.51/0.58 (mforall_ind = (^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : (X3 @ X0 @ X2))))),
% 1.51/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_ind)).
% 1.51/0.58 thf(f124,plain,(
% 1.51/0.58 (mbox = ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ rel))),
% 1.51/0.58 inference(definition_unfolding,[],[f103,f99])).
% 1.51/0.58 thf(f99,plain,(
% 1.51/0.58 (mbox_generic = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 1.51/0.58 inference(cnf_transformation,[],[f60])).
% 1.51/0.58 thf(f60,plain,(
% 1.51/0.58 (mbox_generic = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 1.51/0.58 inference(fool_elimination,[],[f59])).
% 1.51/0.58 thf(f59,plain,(
% 1.51/0.58 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))) = mbox_generic)),
% 1.51/0.58 inference(rectify,[],[f17])).
% 1.51/0.58 thf(f17,axiom,(
% 1.51/0.58 ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(X6 @ X2 @ X7)))) = mbox_generic)),
% 1.51/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_generic)).
% 1.51/0.58 thf(f103,plain,(
% 1.51/0.58 (mbox = (mbox_generic @ rel))),
% 1.51/0.58 inference(cnf_transformation,[],[f73])).
% 1.51/0.58 thf(f73,plain,(
% 1.51/0.58 (mbox = (mbox_generic @ rel))),
% 1.51/0.58 inference(fool_elimination,[],[f19])).
% 1.51/0.58 thf(f19,axiom,(
% 1.51/0.58 (mbox = (mbox_generic @ rel))),
% 1.51/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)).
% 1.51/0.58 thf(f101,plain,(
% 1.51/0.58 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 1.51/0.58 inference(cnf_transformation,[],[f81])).
% 1.51/0.58 thf(f81,plain,(
% 1.51/0.58 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 1.51/0.58 inference(fool_elimination,[],[f80])).
% 1.51/0.58 thf(f80,plain,(
% 1.51/0.58 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) & (X0 @ X2))) = mand)),
% 1.51/0.58 inference(rectify,[],[f6])).
% 1.51/0.58 thf(f6,axiom,(
% 1.51/0.58 ((^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) & (X3 @ X2))) = mand)),
% 1.51/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand)).
% 1.51/0.58 thf(f117,plain,(
% 1.51/0.58 ((mvalid @ (mforall_indset @ (^[Y0 : mu > $i > $o]: (mforall_indset @ (^[Y1 : mu > $i > $o]: (mimplies @ (mand @ (positive @ Y0) @ (mbox @ (mforall_ind @ (^[Y2 : mu]: (mimplies @ (Y0 @ Y2) @ (Y1 @ Y2)))))) @ (positive @ Y1))))))) = $true)),
% 1.51/0.58 inference(cnf_transformation,[],[f77])).
% 1.51/0.58 thf(f77,plain,(
% 1.51/0.58 ((mvalid @ (mforall_indset @ (^[Y0 : mu > $i > $o]: (mforall_indset @ (^[Y1 : mu > $i > $o]: (mimplies @ (mand @ (positive @ Y0) @ (mbox @ (mforall_ind @ (^[Y2 : mu]: (mimplies @ (Y0 @ Y2) @ (Y1 @ Y2)))))) @ (positive @ Y1))))))) = $true)),
% 1.51/0.58 inference(fool_elimination,[],[f76])).
% 1.51/0.58 thf(f76,plain,(
% 1.51/0.58 (mvalid @ (mforall_indset @ (^[X0 : mu > $i > $o] : (mforall_indset @ (^[X1 : mu > $i > $o] : (mimplies @ (mand @ (positive @ X0) @ (mbox @ (mforall_ind @ (^[X2 : mu] : (mimplies @ (X0 @ X2) @ (X1 @ X2)))))) @ (positive @ X1)))))))),
% 1.51/0.58 inference(rectify,[],[f24])).
% 1.51/0.58 thf(f24,axiom,(
% 1.51/0.58 (mvalid @ (mforall_indset @ (^[X3 : mu > $i > $o] : (mforall_indset @ (^[X4 : mu > $i > $o] : (mimplies @ (mand @ (positive @ X3) @ (mbox @ (mforall_ind @ (^[X0 : mu] : (mimplies @ (X3 @ X0) @ (X4 @ X0)))))) @ (positive @ X4)))))))),
% 1.51/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axA2)).
% 1.51/0.58 thf(f173,plain,(
% 1.51/0.58 ( ! [X1 : $i] : ((((rel @ sK2 @ X1) & (?? @ mu @ (^[Y0 : mu]: (!! @ (mu > $i > $o) @ (^[Y1 : mu > $i > $o]: ((positive @ Y1 @ X1) => (Y1 @ Y0 @ X1))))))) = $false)) )),
% 1.51/0.58 inference(beta_eta_normalization,[],[f172])).
% 1.51/0.58 thf(f172,plain,(
% 1.51/0.58 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((rel @ sK2 @ Y0) & (?? @ mu @ (^[Y1 : mu]: (!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: ((positive @ Y2 @ Y0) => (Y2 @ Y1 @ Y0)))))))) @ X1) = $false)) )),
% 1.51/0.58 inference(pi_clausification,[],[f171])).
% 1.51/0.58 thf(f171,plain,(
% 1.51/0.58 ((?? @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) & (?? @ mu @ (^[Y1 : mu]: (!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: ((positive @ Y2 @ Y0) => (Y2 @ Y1 @ Y0))))))))) = $false)),
% 1.51/0.58 inference(beta_eta_normalization,[],[f170])).
% 1.51/0.58 thf(f170,plain,(
% 1.51/0.58 ($false = ((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) & (?? @ mu @ (^[Y2 : mu]: (!! @ (mu > $i > $o) @ (^[Y3 : mu > $i > $o]: ((positive @ Y3 @ Y1) => (Y3 @ Y2 @ Y1)))))))))) @ sK2))),
% 1.51/0.58 inference(sigma_clausification,[],[f157])).
% 1.51/0.58 thf(f157,plain,(
% 1.51/0.58 ((!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) & (?? @ mu @ (^[Y2 : mu]: (!! @ (mu > $i > $o) @ (^[Y3 : mu > $i > $o]: ((positive @ Y3 @ Y1) => (Y3 @ Y2 @ Y1))))))))))) = $false)),
% 1.51/0.58 inference(not_proxy_clausification,[],[f135])).
% 1.51/0.58 thf(f135,plain,(
% 1.51/0.58 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) & (?? @ mu @ (^[Y2 : mu]: (!! @ (mu > $i > $o) @ (^[Y3 : mu > $i > $o]: ((positive @ Y3 @ Y1) => (Y3 @ Y2 @ Y1)))))))))))))),
% 1.51/0.58 inference(beta_eta_normalization,[],[f133])).
% 1.51/0.58 thf(f133,plain,(
% 1.51/0.58 ((~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) & (Y1 @ Y3))))))))) @ rel @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (?? @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : mu]: ((^[Y2 : (mu > $i > $o) > $i > $o]: ((^[Y3 : $i]: (!! @ (mu > $i > $o) @ (^[Y4 : mu > $i > $o]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : mu > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) => (Y4 @ Y5))))))) @ (positive @ Y2) @ (Y2 @ Y1))))) @ Y0)))))) = $true)),
% 1.51/0.58 inference(definition_unfolding,[],[f111,f116,f125,f121,f126])).
% 1.51/0.58 thf(f121,plain,(
% 1.51/0.58 (mexists_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (?? @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 1.51/0.58 inference(cnf_transformation,[],[f79])).
% 1.51/0.58 thf(f79,plain,(
% 1.51/0.58 (mexists_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (?? @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 1.51/0.58 inference(fool_elimination,[],[f78])).
% 1.51/0.58 thf(f78,plain,(
% 1.51/0.58 ((^[X0 : mu > $i > $o, X1 : $i] : (? [X2 : mu] : (X0 @ X2 @ X1))) = mexists_ind)),
% 1.51/0.58 inference(rectify,[],[f14])).
% 1.51/0.58 thf(f14,axiom,(
% 1.51/0.58 ((^[X3 : mu > $i > $o, X2 : $i] : (? [X0 : mu] : (X3 @ X0 @ X2))) = mexists_ind)),
% 1.51/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_ind)).
% 1.51/0.58 thf(f125,plain,(
% 1.51/0.58 (mdia = ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) & (Y1 @ Y3))))))))) @ rel))),
% 1.51/0.58 inference(definition_unfolding,[],[f114,f120])).
% 1.51/0.58 thf(f120,plain,(
% 1.51/0.58 (mdia_generic = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) & (Y1 @ Y3))))))))))),
% 1.51/0.58 inference(cnf_transformation,[],[f89])).
% 1.51/0.58 thf(f89,plain,(
% 1.51/0.58 (mdia_generic = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) & (Y1 @ Y3))))))))))),
% 1.51/0.58 inference(fool_elimination,[],[f88])).
% 1.51/0.58 thf(f88,plain,(
% 1.51/0.58 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (? [X3] : ((X1 @ X3) & (X0 @ X2 @ X3)))) = mdia_generic)),
% 1.51/0.58 inference(rectify,[],[f18])).
% 1.51/0.58 thf(f18,axiom,(
% 1.51/0.58 ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (? [X7] : ((X3 @ X7) & (X6 @ X2 @ X7)))) = mdia_generic)),
% 1.51/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia_generic)).
% 1.51/0.58 thf(f114,plain,(
% 1.51/0.58 (mdia = (mdia_generic @ rel))),
% 1.51/0.58 inference(cnf_transformation,[],[f92])).
% 1.51/0.58 thf(f92,plain,(
% 1.51/0.58 (mdia = (mdia_generic @ rel))),
% 1.51/0.58 inference(fool_elimination,[],[f20])).
% 1.51/0.58 thf(f20,axiom,(
% 1.51/0.58 (mdia = (mdia_generic @ rel))),
% 1.51/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia)).
% 1.51/0.58 thf(f111,plain,(
% 1.51/0.58 ((~ (mvalid @ (mdia @ (mexists_ind @ (^[Y0 : mu]: (god @ Y0)))))) = $true)),
% 1.51/0.58 inference(cnf_transformation,[],[f85])).
% 1.51/0.58 thf(f85,plain,(
% 1.51/0.58 ((~ (mvalid @ (mdia @ (mexists_ind @ (^[Y0 : mu]: (god @ Y0)))))) = $true)),
% 1.51/0.58 inference(fool_elimination,[],[f84])).
% 1.51/0.58 thf(f84,plain,(
% 1.51/0.58 ~(mvalid @ (mdia @ (mexists_ind @ (^[X0 : mu] : (god @ X0)))))),
% 1.51/0.58 inference(rectify,[],[f32])).
% 1.51/0.58 thf(f32,negated_conjecture,(
% 1.51/0.58 ~(mvalid @ (mdia @ (mexists_ind @ (^[X0 : mu] : (god @ X0)))))),
% 1.51/0.58 inference(negated_conjecture,[],[f31])).
% 1.51/0.58 thf(f31,conjecture,(
% 1.51/0.58 (mvalid @ (mdia @ (mexists_ind @ (^[X0 : mu] : (god @ X0)))))),
% 1.51/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corC)).
% 1.51/0.58 thf(f946,plain,(
% 1.51/0.58 ( ! [X0 : $i] : (((~ (!! @ (mu > $i > $o) @ (^[Y0 : mu > $i > $o]: ((positive @ Y0 @ (sK3 @ X0)) => (Y0 @ (sK11 @ X0) @ (sK3 @ X0)))))) = $false)) )),
% 1.51/0.58 inference(beta_eta_normalization,[],[f945])).
% 1.51/0.58 thf(f945,plain,(
% 1.51/0.58 ( ! [X0 : $i] : (($false = ((^[Y0 : mu]: (~ (!! @ (mu > $i > $o) @ (^[Y1 : mu > $i > $o]: ((positive @ Y1 @ (sK3 @ X0)) => (Y1 @ Y0 @ (sK3 @ X0))))))) @ (sK11 @ X0)))) )),
% 1.51/0.58 inference(sigma_clausification,[],[f353])).
% 1.51/0.58 % SZS output end Proof for theBenchmark
% 1.51/0.58 % (15077)------------------------------
% 1.51/0.58 % (15077)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.51/0.58 % (15077)Termination reason: Refutation
% 1.51/0.58
% 1.51/0.58 % (15077)Memory used [KB]: 6908
% 1.51/0.58 % (15077)Time elapsed: 0.163 s
% 1.51/0.58 % (15077)Instructions burned: 275 (million)
% 1.51/0.58 % (15077)------------------------------
% 1.51/0.58 % (15077)------------------------------
% 1.51/0.58 % (15065)Success in time 0.201 s
% 1.51/0.58 % Vampire---4.8 exiting
%------------------------------------------------------------------------------