TSTP Solution File: SYN052^7 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN052^7 : TPTP v8.2.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 08:20:36 EDT 2024
% Result : Theorem 7.10s 1.36s
% Output : Refutation 7.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN052^7 : TPTP v8.2.0. Released v5.5.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 14:34:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a TH0_THM_EQU_NAR problem
% 0.13/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 % (22918)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.37 % (22917)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)
% 0.13/0.37 % (22919)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)
% 0.13/0.37 % (22919)Instruction limit reached!
% 0.13/0.37 % (22919)------------------------------
% 0.13/0.37 % (22919)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (22919)Termination reason: Unknown
% 0.13/0.37 % (22919)Termination phase: shuffling
% 0.13/0.37
% 0.13/0.37 % (22919)Memory used [KB]: 1023
% 0.13/0.37 % (22919)Time elapsed: 0.003 s
% 0.13/0.37 % (22919)Instructions burned: 3 (million)
% 0.13/0.37 % (22919)------------------------------
% 0.13/0.37 % (22919)------------------------------
% 0.13/0.37 % (22916)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)
% 0.13/0.37 % (22916)Instruction limit reached!
% 0.13/0.37 % (22916)------------------------------
% 0.13/0.37 % (22916)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (22916)Termination reason: Unknown
% 0.13/0.37 % (22916)Termination phase: shuffling
% 0.13/0.37
% 0.13/0.37 % (22916)Memory used [KB]: 1023
% 0.13/0.37 % (22916)Time elapsed: 0.003 s
% 0.13/0.37 % (22916)Instructions burned: 2 (million)
% 0.13/0.37 % (22916)------------------------------
% 0.13/0.37 % (22916)------------------------------
% 0.13/0.37 % (22914)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)
% 0.13/0.37 % (22915)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.37 % (22915)Instruction limit reached!
% 0.13/0.37 % (22915)------------------------------
% 0.13/0.37 % (22915)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (22912)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.37 % (22915)Termination reason: Unknown
% 0.13/0.37 % (22915)Termination phase: shuffling
% 0.13/0.37
% 0.13/0.37 % (22915)Memory used [KB]: 1023
% 0.13/0.37 % (22915)Time elapsed: 0.003 s
% 0.13/0.37 % (22915)Instructions burned: 2 (million)
% 0.13/0.37 % (22915)------------------------------
% 0.13/0.37 % (22915)------------------------------
% 0.13/0.37 % (22918)Instruction limit reached!
% 0.13/0.37 % (22918)------------------------------
% 0.13/0.37 % (22918)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (22918)Termination reason: Unknown
% 0.13/0.37 % (22918)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (22918)Memory used [KB]: 5628
% 0.13/0.37 % (22918)Time elapsed: 0.010 s
% 0.13/0.37 % (22918)Instructions burned: 20 (million)
% 0.13/0.37 % (22918)------------------------------
% 0.13/0.37 % (22918)------------------------------
% 0.13/0.38 % (22913)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)
% 0.13/0.38 % (22913)Instruction limit reached!
% 0.13/0.38 % (22913)------------------------------
% 0.13/0.38 % (22913)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (22913)Termination reason: Unknown
% 0.13/0.38 % (22913)Termination phase: Property scanning
% 0.13/0.38
% 0.13/0.38 % (22913)Memory used [KB]: 1023
% 0.13/0.38 % (22913)Time elapsed: 0.004 s
% 0.13/0.38 % (22913)Instructions burned: 5 (million)
% 0.13/0.38 % (22913)------------------------------
% 0.13/0.38 % (22913)------------------------------
% 0.13/0.38 % (22921)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)
% 0.13/0.38 % (22920)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)
% 0.13/0.38 % (22914)Instruction limit reached!
% 0.13/0.38 % (22914)------------------------------
% 0.13/0.38 % (22914)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (22914)Termination reason: Unknown
% 0.13/0.38 % (22914)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (22914)Memory used [KB]: 5628
% 0.13/0.38 % (22914)Time elapsed: 0.015 s
% 0.13/0.38 % (22914)Instructions burned: 27 (million)
% 0.13/0.38 % (22914)------------------------------
% 0.13/0.38 % (22914)------------------------------
% 0.13/0.39 % (22921)Instruction limit reached!
% 0.13/0.39 % (22921)------------------------------
% 0.13/0.39 % (22921)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (22921)Termination reason: Unknown
% 0.13/0.39 % (22921)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (22921)Memory used [KB]: 5628
% 0.13/0.39 % (22921)Time elapsed: 0.008 s
% 0.13/0.39 % (22921)Instructions burned: 15 (million)
% 0.13/0.39 % (22921)------------------------------
% 0.13/0.39 % (22921)------------------------------
% 0.13/0.39 % (22922)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)
% 0.13/0.39 % (22922)Instruction limit reached!
% 0.13/0.39 % (22922)------------------------------
% 0.13/0.39 % (22922)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (22922)Termination reason: Unknown
% 0.13/0.39 % (22922)Termination phase: shuffling
% 0.13/0.39
% 0.13/0.39 % (22922)Memory used [KB]: 1023
% 0.13/0.39 % (22922)Time elapsed: 0.004 s
% 0.13/0.39 % (22922)Instructions burned: 4 (million)
% 0.13/0.39 % (22922)------------------------------
% 0.13/0.39 % (22922)------------------------------
% 0.13/0.39 % (22923)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)
% 0.21/0.39 % (22924)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.40 % (22924)Instruction limit reached!
% 0.21/0.40 % (22924)------------------------------
% 0.21/0.40 % (22924)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (22924)Termination reason: Unknown
% 0.21/0.40 % (22924)Termination phase: Property scanning
% 0.21/0.40
% 0.21/0.40 % (22924)Memory used [KB]: 1023
% 0.21/0.40 % (22924)Time elapsed: 0.005 s
% 0.21/0.40 % (22924)Instructions burned: 8 (million)
% 0.21/0.40 % (22924)------------------------------
% 0.21/0.40 % (22924)------------------------------
% 0.21/0.40 % (22925)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.40 % (22920)Instruction limit reached!
% 0.21/0.40 % (22920)------------------------------
% 0.21/0.40 % (22920)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (22920)Termination reason: Unknown
% 0.21/0.40 % (22920)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (22920)Memory used [KB]: 5756
% 0.21/0.40 % (22920)Time elapsed: 0.021 s
% 0.21/0.40 % (22920)Instructions burned: 39 (million)
% 0.21/0.40 % (22920)------------------------------
% 0.21/0.40 % (22920)------------------------------
% 0.21/0.40 % (22927)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)
% 0.21/0.41 % (22926)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)
% 0.21/0.41 % (22927)Instruction limit reached!
% 0.21/0.41 % (22927)------------------------------
% 0.21/0.41 % (22927)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (22927)Termination reason: Unknown
% 0.21/0.41 % (22927)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (22927)Memory used [KB]: 1023
% 0.21/0.41 % (22927)Time elapsed: 0.003 s
% 0.21/0.41 % (22927)Instructions burned: 3 (million)
% 0.21/0.41 % (22927)------------------------------
% 0.21/0.41 % (22927)------------------------------
% 0.21/0.41 % (22926)Instruction limit reached!
% 0.21/0.41 % (22926)------------------------------
% 0.21/0.41 % (22926)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (22926)Termination reason: Unknown
% 0.21/0.41 % (22926)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (22926)Memory used [KB]: 1023
% 0.21/0.41 % (22926)Time elapsed: 0.003 s
% 0.21/0.41 % (22926)Instructions burned: 3 (million)
% 0.21/0.41 % (22926)------------------------------
% 0.21/0.41 % (22926)------------------------------
% 0.21/0.41 % (22925)Instruction limit reached!
% 0.21/0.41 % (22925)------------------------------
% 0.21/0.41 % (22925)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (22925)Termination reason: Unknown
% 0.21/0.41 % (22925)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (22925)Memory used [KB]: 5756
% 0.21/0.41 % (22925)Time elapsed: 0.011 s
% 0.21/0.41 % (22925)Instructions burned: 17 (million)
% 0.21/0.41 % (22925)------------------------------
% 0.21/0.41 % (22925)------------------------------
% 0.21/0.41 % (22928)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)
% 0.21/0.42 % (22928)Instruction limit reached!
% 0.21/0.42 % (22928)------------------------------
% 0.21/0.42 % (22928)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (22928)Termination reason: Unknown
% 0.21/0.42 % (22928)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (22928)Memory used [KB]: 1023
% 0.21/0.42 % (22928)Time elapsed: 0.005 s
% 0.21/0.42 % (22928)Instructions burned: 8 (million)
% 0.21/0.42 % (22928)------------------------------
% 0.21/0.42 % (22928)------------------------------
% 0.21/0.42 % (22929)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)
% 0.21/0.42 % (22929)Instruction limit reached!
% 0.21/0.42 % (22929)------------------------------
% 0.21/0.42 % (22929)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (22929)Termination reason: Unknown
% 0.21/0.42 % (22929)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (22929)Memory used [KB]: 1023
% 0.21/0.42 % (22929)Time elapsed: 0.004 s
% 0.21/0.42 % (22929)Instructions burned: 4 (million)
% 0.21/0.42 % (22929)------------------------------
% 0.21/0.42 % (22929)------------------------------
% 0.21/0.42 % (22930)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.42 % (22930)Instruction limit reached!
% 0.21/0.42 % (22930)------------------------------
% 0.21/0.42 % (22930)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (22930)Termination reason: Unknown
% 0.21/0.42 % (22930)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (22930)Memory used [KB]: 1023
% 0.21/0.42 % (22930)Time elapsed: 0.004 s
% 0.21/0.42 % (22930)Instructions burned: 5 (million)
% 0.21/0.42 % (22930)------------------------------
% 0.21/0.42 % (22930)------------------------------
% 0.21/0.42 % (22931)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)
% 0.21/0.42 % (22932)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.43 % (22933)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.43 % (22933)Instruction limit reached!
% 0.21/0.43 % (22933)------------------------------
% 0.21/0.43 % (22933)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (22933)Termination reason: Unknown
% 0.21/0.43 % (22933)Termination phase: Property scanning
% 0.21/0.43
% 0.21/0.43 % (22933)Memory used [KB]: 1023
% 0.21/0.43 % (22933)Time elapsed: 0.004 s
% 0.21/0.43 % (22933)Instructions burned: 6 (million)
% 0.21/0.43 % (22933)------------------------------
% 0.21/0.43 % (22933)------------------------------
% 0.21/0.43 % (22931)Instruction limit reached!
% 0.21/0.43 % (22931)------------------------------
% 0.21/0.43 % (22931)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (22931)Termination reason: Unknown
% 0.21/0.43 % (22931)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (22931)Memory used [KB]: 5628
% 0.21/0.43 % (22931)Time elapsed: 0.012 s
% 0.21/0.43 % (22931)Instructions burned: 19 (million)
% 0.21/0.43 % (22931)------------------------------
% 0.21/0.43 % (22931)------------------------------
% 0.21/0.43 % (22932)Refutation not found, incomplete strategy
% 0.21/0.43 % (22932)------------------------------
% 0.21/0.43 % (22932)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (22932)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43
% 0.21/0.43
% 0.21/0.43 % (22932)Memory used [KB]: 5628
% 0.21/0.43 % (22932)Time elapsed: 0.010 s
% 0.21/0.43 % (22932)Instructions burned: 19 (million)
% 0.21/0.43 % (22932)------------------------------
% 0.21/0.43 % (22932)------------------------------
% 0.21/0.43 % (22934)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 % (22935)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)
% 0.21/0.44 % (22934)Refutation not found, incomplete strategy
% 0.21/0.44 % (22934)------------------------------
% 0.21/0.44 % (22934)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (22934)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.44
% 0.21/0.44
% 0.21/0.44 % (22934)Memory used [KB]: 5628
% 0.21/0.44 % (22934)Time elapsed: 0.006 s
% 0.21/0.44 % (22934)Instructions burned: 10 (million)
% 0.21/0.44 % (22934)------------------------------
% 0.21/0.44 % (22934)------------------------------
% 0.21/0.45 % (22937)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)
% 0.21/0.45 % (22935)Instruction limit reached!
% 0.21/0.45 % (22935)------------------------------
% 0.21/0.45 % (22935)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (22935)Termination reason: Unknown
% 0.21/0.45 % (22935)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (22935)Memory used [KB]: 5756
% 0.21/0.45 % (22935)Time elapsed: 0.012 s
% 0.21/0.45 % (22935)Instructions burned: 21 (million)
% 0.21/0.45 % (22935)------------------------------
% 0.21/0.45 % (22935)------------------------------
% 0.21/0.45 % (22936)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.45 % (22937)Instruction limit reached!
% 0.21/0.45 % (22937)------------------------------
% 0.21/0.45 % (22937)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (22937)Termination reason: Unknown
% 0.21/0.45 % (22937)Termination phase: Property scanning
% 0.21/0.45
% 0.21/0.45 % (22937)Memory used [KB]: 1023
% 0.21/0.45 % (22937)Time elapsed: 0.004 s
% 0.21/0.45 % (22937)Instructions burned: 6 (million)
% 0.21/0.45 % (22937)------------------------------
% 0.21/0.45 % (22937)------------------------------
% 0.21/0.45 % (22939)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)
% 0.21/0.45 % (22936)Instruction limit reached!
% 0.21/0.45 % (22936)------------------------------
% 0.21/0.45 % (22936)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (22936)Termination reason: Unknown
% 0.21/0.45 % (22936)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (22936)Memory used [KB]: 1023
% 0.21/0.45 % (22936)Time elapsed: 0.004 s
% 0.21/0.45 % (22936)Instructions burned: 6 (million)
% 0.21/0.45 % (22936)------------------------------
% 0.21/0.45 % (22936)------------------------------
% 0.21/0.45 % (22938)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.21/0.45 % (22940)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)
% 0.21/0.46 % (22912)Instruction limit reached!
% 0.21/0.46 % (22912)------------------------------
% 0.21/0.46 % (22912)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (22912)Termination reason: Unknown
% 0.21/0.46 % (22912)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (22912)Memory used [KB]: 6524
% 0.21/0.46 % (22912)Time elapsed: 0.089 s
% 0.21/0.46 % (22912)Instructions burned: 184 (million)
% 0.21/0.46 % (22912)------------------------------
% 0.21/0.46 % (22912)------------------------------
% 0.21/0.46 % (22940)Instruction limit reached!
% 0.21/0.46 % (22940)------------------------------
% 0.21/0.46 % (22940)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (22940)Termination reason: Unknown
% 0.21/0.46 % (22940)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (22940)Memory used [KB]: 5628
% 0.21/0.46 % (22940)Time elapsed: 0.007 s
% 0.21/0.46 % (22940)Instructions burned: 22 (million)
% 0.21/0.46 % (22940)------------------------------
% 0.21/0.46 % (22940)------------------------------
% 0.21/0.46 % (22941)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)
% 0.21/0.47 % (22942)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.21/0.47 % (22944)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.47 % (22943)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.47 % (22942)Instruction limit reached!
% 0.21/0.47 % (22942)------------------------------
% 0.21/0.47 % (22942)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (22942)Termination reason: Unknown
% 0.21/0.47 % (22942)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (22942)Memory used [KB]: 5628
% 0.21/0.47 % (22942)Time elapsed: 0.010 s
% 0.21/0.47 % (22942)Instructions burned: 18 (million)
% 0.21/0.47 % (22942)------------------------------
% 0.21/0.47 % (22942)------------------------------
% 0.21/0.48 % (22943)Instruction limit reached!
% 0.21/0.48 % (22943)------------------------------
% 0.21/0.48 % (22943)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (22943)Termination reason: Unknown
% 0.21/0.48 % (22943)Termination phase: shuffling
% 0.21/0.48
% 0.21/0.48 % (22943)Memory used [KB]: 1023
% 0.21/0.48 % (22943)Time elapsed: 0.003 s
% 0.21/0.48 % (22943)Instructions burned: 3 (million)
% 0.21/0.48 % (22943)------------------------------
% 0.21/0.48 % (22943)------------------------------
% 0.21/0.48 % (22944)Instruction limit reached!
% 0.21/0.48 % (22944)------------------------------
% 0.21/0.48 % (22944)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (22944)Termination reason: Unknown
% 0.21/0.48 % (22944)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (22944)Memory used [KB]: 5756
% 0.21/0.48 % (22944)Time elapsed: 0.010 s
% 0.21/0.48 % (22944)Instructions burned: 30 (million)
% 0.21/0.48 % (22944)------------------------------
% 0.21/0.48 % (22944)------------------------------
% 0.21/0.49 % (22947)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)
% 0.21/0.49 % (22947)Instruction limit reached!
% 0.21/0.49 % (22947)------------------------------
% 0.21/0.49 % (22947)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (22947)Termination reason: Unknown
% 0.21/0.49 % (22947)Termination phase: shuffling
% 0.21/0.49
% 0.21/0.49 % (22947)Memory used [KB]: 1023
% 0.21/0.49 % (22947)Time elapsed: 0.002 s
% 0.21/0.49 % (22947)Instructions burned: 4 (million)
% 0.21/0.49 % (22947)------------------------------
% 0.21/0.49 % (22947)------------------------------
% 0.21/0.49 % (22946)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)
% 0.21/0.49 % (22945)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)
% 0.21/0.50 % (22948)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)
% 0.21/0.50 % (22917)Instruction limit reached!
% 0.21/0.50 % (22917)------------------------------
% 0.21/0.50 % (22917)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (22917)Termination reason: Unknown
% 0.21/0.50 % (22917)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (22917)Memory used [KB]: 6396
% 0.21/0.50 % (22917)Time elapsed: 0.133 s
% 0.21/0.50 % (22917)Instructions burned: 276 (million)
% 0.21/0.50 % (22917)------------------------------
% 0.21/0.50 % (22917)------------------------------
% 0.21/0.50 % (22948)Refutation not found, incomplete strategy
% 0.21/0.50 % (22948)------------------------------
% 0.21/0.50 % (22948)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (22948)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.50
% 0.21/0.50
% 0.21/0.50 % (22948)Memory used [KB]: 5628
% 0.21/0.50 % (22948)Time elapsed: 0.006 s
% 0.21/0.50 % (22948)Instructions burned: 17 (million)
% 0.21/0.50 % (22948)------------------------------
% 0.21/0.50 % (22948)------------------------------
% 1.33/0.51 % (22949)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)
% 1.33/0.52 % (22950)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)
% 1.45/0.53 % (22946)Instruction limit reached!
% 1.45/0.53 % (22946)------------------------------
% 1.45/0.53 % (22946)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.53 % (22946)Termination reason: Unknown
% 1.45/0.53 % (22946)Termination phase: Saturation
% 1.45/0.53
% 1.45/0.53 % (22946)Memory used [KB]: 6012
% 1.45/0.53 % (22946)Time elapsed: 0.048 s
% 1.45/0.53 % (22946)Instructions burned: 102 (million)
% 1.45/0.53 % (22946)------------------------------
% 1.45/0.53 % (22946)------------------------------
% 1.45/0.54 % (22949)Instruction limit reached!
% 1.45/0.54 % (22949)------------------------------
% 1.45/0.54 % (22949)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.54 % (22949)Termination reason: Unknown
% 1.45/0.54 % (22949)Termination phase: Saturation
% 1.45/0.54
% 1.45/0.54 % (22949)Memory used [KB]: 6140
% 1.45/0.54 % (22949)Time elapsed: 0.052 s
% 1.45/0.54 % (22949)Instructions burned: 87 (million)
% 1.45/0.54 % (22949)------------------------------
% 1.45/0.54 % (22949)------------------------------
% 1.45/0.55 % (22952)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)
% 1.45/0.55 % (22951)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)
% 1.45/0.56 % (22950)Instruction limit reached!
% 1.45/0.56 % (22950)------------------------------
% 1.45/0.56 % (22950)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.56 % (22950)Termination reason: Unknown
% 1.45/0.56 % (22950)Termination phase: Saturation
% 1.45/0.56
% 1.45/0.56 % (22950)Memory used [KB]: 6140
% 1.45/0.56 % (22950)Time elapsed: 0.063 s
% 1.45/0.56 % (22950)Instructions burned: 109 (million)
% 1.45/0.56 % (22950)------------------------------
% 1.45/0.56 % (22950)------------------------------
% 1.45/0.56 % (22945)Instruction limit reached!
% 1.45/0.56 % (22945)------------------------------
% 1.45/0.56 % (22945)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.56 % (22945)Termination reason: Unknown
% 1.45/0.56 % (22945)Termination phase: Saturation
% 1.45/0.56
% 1.45/0.56 % (22945)Memory used [KB]: 6140
% 1.45/0.56 % (22945)Time elapsed: 0.069 s
% 1.45/0.56 % (22945)Instructions burned: 127 (million)
% 1.45/0.56 % (22945)------------------------------
% 1.45/0.56 % (22945)------------------------------
% 1.45/0.56 % (22953)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)
% 1.45/0.57 % (22951)Instruction limit reached!
% 1.45/0.57 % (22951)------------------------------
% 1.45/0.57 % (22951)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.57 % (22951)Termination reason: Unknown
% 1.45/0.57 % (22951)Termination phase: Saturation
% 1.45/0.57
% 1.45/0.57 % (22951)Memory used [KB]: 5756
% 1.45/0.57 % (22951)Time elapsed: 0.041 s
% 1.45/0.57 % (22951)Instructions burned: 41 (million)
% 1.45/0.57 % (22951)------------------------------
% 1.45/0.57 % (22951)------------------------------
% 1.45/0.58 % (22954)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)
% 1.45/0.58 % (22953)Instruction limit reached!
% 1.45/0.58 % (22953)------------------------------
% 1.45/0.58 % (22953)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.58 % (22953)Termination reason: Unknown
% 1.45/0.58 % (22953)Termination phase: Saturation
% 1.45/0.58
% 1.45/0.58 % (22953)Memory used [KB]: 5884
% 1.45/0.58 % (22953)Time elapsed: 0.018 s
% 1.45/0.58 % (22953)Instructions burned: 46 (million)
% 1.45/0.58 % (22953)------------------------------
% 1.45/0.58 % (22953)------------------------------
% 1.45/0.58 % (22955)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2998ds/507Mi)
% 1.45/0.59 % (22956)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 1.45/0.59 % (22955)Refutation not found, incomplete strategy
% 1.45/0.59 % (22955)------------------------------
% 1.45/0.59 % (22955)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.59 % (22955)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.59
% 1.45/0.59
% 1.45/0.59 % (22955)Memory used [KB]: 5628
% 1.45/0.59 % (22955)Time elapsed: 0.010 s
% 1.45/0.59 % (22955)Instructions burned: 19 (million)
% 1.45/0.59 % (22955)------------------------------
% 1.45/0.59 % (22955)------------------------------
% 1.45/0.61 % (22957)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.45/0.62 % (22957)Instruction limit reached!
% 1.45/0.62 % (22957)------------------------------
% 1.45/0.62 % (22957)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.62 % (22957)Termination reason: Unknown
% 1.45/0.62 % (22957)Termination phase: Saturation
% 1.45/0.62
% 1.45/0.62 % (22957)Memory used [KB]: 5756
% 1.45/0.62 % (22957)Time elapsed: 0.019 s
% 1.45/0.62 % (22954)Instruction limit reached!
% 1.45/0.62 % (22954)------------------------------
% 1.45/0.62 % (22954)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.62 % (22954)Termination reason: Unknown
% 1.45/0.62 % (22954)Termination phase: Saturation
% 1.45/0.62
% 1.45/0.62 % (22954)Memory used [KB]: 1279
% 1.45/0.62 % (22954)Time elapsed: 0.072 s
% 1.45/0.62 % (22954)Instructions burned: 98 (million)
% 1.45/0.62 % (22954)------------------------------
% 1.45/0.62 % (22954)------------------------------
% 1.45/0.62 % (22957)Instructions burned: 39 (million)
% 1.45/0.62 % (22957)------------------------------
% 1.45/0.62 % (22957)------------------------------
% 2.14/0.63 % (22938)Instruction limit reached!
% 2.14/0.63 % (22938)------------------------------
% 2.14/0.63 % (22938)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.14/0.63 % (22938)Termination reason: Unknown
% 2.14/0.63 % (22938)Termination phase: Saturation
% 2.14/0.63
% 2.14/0.63 % (22938)Memory used [KB]: 6780
% 2.14/0.63 % (22938)Time elapsed: 0.184 s
% 2.14/0.63 % (22938)Instructions burned: 378 (million)
% 2.14/0.63 % (22938)------------------------------
% 2.14/0.63 % (22938)------------------------------
% 2.14/0.64 % (22959)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2997ds/1087Mi)
% 2.14/0.64 % (22958)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2997ds/6Mi)
% 2.14/0.64 % (22958)Instruction limit reached!
% 2.14/0.64 % (22958)------------------------------
% 2.14/0.64 % (22958)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.14/0.64 % (22958)Termination reason: Unknown
% 2.14/0.64 % (22958)Termination phase: Property scanning
% 2.14/0.64
% 2.14/0.64 % (22958)Memory used [KB]: 1023
% 2.14/0.64 % (22958)Time elapsed: 0.005 s
% 2.14/0.64 % (22958)Instructions burned: 7 (million)
% 2.14/0.64 % (22958)------------------------------
% 2.14/0.64 % (22958)------------------------------
% 2.14/0.64 % (22956)Instruction limit reached!
% 2.14/0.64 % (22956)------------------------------
% 2.14/0.64 % (22956)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.14/0.64 % (22956)Termination reason: Unknown
% 2.14/0.64 % (22956)Termination phase: Saturation
% 2.14/0.64
% 2.14/0.64 % (22956)Memory used [KB]: 6268
% 2.14/0.64 % (22956)Time elapsed: 0.078 s
% 2.14/0.64 % (22956)Instructions burned: 150 (million)
% 2.14/0.64 % (22956)------------------------------
% 2.14/0.64 % (22956)------------------------------
% 2.14/0.65 % (22959)Refutation not found, incomplete strategy
% 2.14/0.65 % (22959)------------------------------
% 2.14/0.65 % (22959)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.14/0.65 % (22959)Termination reason: Refutation not found, incomplete strategy
% 2.14/0.65
% 2.14/0.65
% 2.14/0.65 % (22959)Memory used [KB]: 5628
% 2.14/0.65 % (22959)Time elapsed: 0.009 s
% 2.14/0.65 % (22959)Instructions burned: 17 (million)
% 2.14/0.65 % (22959)------------------------------
% 2.14/0.65 % (22959)------------------------------
% 2.14/0.65 % (22960)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 2.14/0.65 % (22962)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2997ds/432Mi)
% 2.14/0.65 % (22961)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2997ds/44Mi)
% 2.14/0.66 % (22963)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2997ds/62Mi)
% 2.14/0.67 % (22961)Instruction limit reached!
% 2.14/0.67 % (22961)------------------------------
% 2.14/0.67 % (22961)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.14/0.67 % (22961)Termination reason: Unknown
% 2.14/0.67 % (22961)Termination phase: Saturation
% 2.14/0.67
% 2.14/0.67 % (22961)Memory used [KB]: 1279
% 2.14/0.67 % (22961)Time elapsed: 0.013 s
% 2.14/0.67 % (22961)Instructions burned: 44 (million)
% 2.14/0.67 % (22961)------------------------------
% 2.14/0.67 % (22961)------------------------------
% 2.14/0.67 % (22960)Instruction limit reached!
% 2.14/0.67 % (22960)------------------------------
% 2.14/0.67 % (22960)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.14/0.67 % (22960)Termination reason: Unknown
% 2.14/0.67 % (22960)Termination phase: Saturation
% 2.14/0.67
% 2.14/0.67 % (22960)Memory used [KB]: 5756
% 2.14/0.67 % (22960)Time elapsed: 0.021 s
% 2.14/0.67 % (22960)Instructions burned: 49 (million)
% 2.14/0.67 % (22960)------------------------------
% 2.14/0.67 % (22960)------------------------------
% 2.14/0.67 % (22964)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 2.14/0.68 % (22964)Instruction limit reached!
% 2.14/0.68 % (22964)------------------------------
% 2.14/0.68 % (22964)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.14/0.68 % (22964)Termination reason: Unknown
% 2.14/0.68 % (22964)Termination phase: Saturation
% 2.14/0.68
% 2.14/0.68 % (22964)Memory used [KB]: 5756
% 2.14/0.68 % (22964)Time elapsed: 0.036 s
% 2.14/0.68 % (22964)Instructions burned: 34 (million)
% 2.14/0.68 % (22964)------------------------------
% 2.14/0.68 % (22964)------------------------------
% 2.14/0.68 % (22965)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2996ds/96Mi)
% 2.14/0.69 % (22966)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2996ds/453Mi)
% 2.14/0.69 % (22963)Instruction limit reached!
% 2.14/0.69 % (22963)------------------------------
% 2.14/0.69 % (22963)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.14/0.69 % (22963)Termination reason: Unknown
% 2.14/0.69 % (22963)Termination phase: Saturation
% 2.14/0.69
% 2.14/0.69 % (22963)Memory used [KB]: 5884
% 2.14/0.69 % (22963)Time elapsed: 0.059 s
% 2.14/0.69 % (22963)Instructions burned: 62 (million)
% 2.14/0.69 % (22963)------------------------------
% 2.14/0.69 % (22963)------------------------------
% 2.53/0.71 % (22967)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2996ds/71Mi)
% 2.53/0.73 % (22952)Instruction limit reached!
% 2.53/0.73 % (22952)------------------------------
% 2.53/0.73 % (22952)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.53/0.73 % (22952)Termination reason: Unknown
% 2.53/0.73 % (22952)Termination phase: Saturation
% 2.53/0.73
% 2.53/0.73 % (22952)Memory used [KB]: 6524
% 2.53/0.73 % (22952)Time elapsed: 0.180 s
% 2.53/0.73 % (22952)Instructions burned: 449 (million)
% 2.53/0.73 % (22952)------------------------------
% 2.53/0.73 % (22952)------------------------------
% 2.53/0.73 % (22923)Instruction limit reached!
% 2.53/0.73 % (22923)------------------------------
% 2.53/0.73 % (22923)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.53/0.73 % (22923)Termination reason: Unknown
% 2.53/0.73 % (22923)Termination phase: Saturation
% 2.53/0.73
% 2.53/0.73 % (22923)Memory used [KB]: 7931
% 2.53/0.73 % (22923)Time elapsed: 0.341 s
% 2.53/0.73 % (22923)Instructions burned: 1043 (million)
% 2.53/0.73 % (22923)------------------------------
% 2.53/0.73 % (22923)------------------------------
% 2.53/0.73 % (22965)Instruction limit reached!
% 2.53/0.73 % (22965)------------------------------
% 2.53/0.73 % (22965)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.53/0.73 % (22965)Termination reason: Unknown
% 2.53/0.73 % (22965)Termination phase: Saturation
% 2.53/0.73
% 2.53/0.73 % (22965)Memory used [KB]: 6012
% 2.53/0.73 % (22965)Time elapsed: 0.048 s
% 2.53/0.73 % (22965)Instructions burned: 96 (million)
% 2.53/0.73 % (22965)------------------------------
% 2.53/0.73 % (22965)------------------------------
% 2.53/0.74 % (22969)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2996ds/11Mi)
% 2.53/0.74 % (22969)Instruction limit reached!
% 2.53/0.74 % (22969)------------------------------
% 2.53/0.74 % (22969)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.53/0.74 % (22969)Termination reason: Unknown
% 2.53/0.74 % (22969)Termination phase: Saturation
% 2.53/0.74
% 2.53/0.74 % (22969)Memory used [KB]: 1151
% 2.53/0.74 % (22969)Time elapsed: 0.004 s
% 2.53/0.74 % (22969)Instructions burned: 11 (million)
% 2.53/0.74 % (22969)------------------------------
% 2.53/0.74 % (22969)------------------------------
% 2.53/0.74 % (22968)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2996ds/83Mi)
% 2.53/0.75 % (22967)Instruction limit reached!
% 2.53/0.75 % (22967)------------------------------
% 2.53/0.75 % (22967)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.53/0.75 % (22967)Termination reason: Unknown
% 2.53/0.75 % (22967)Termination phase: Saturation
% 2.53/0.75
% 2.53/0.75 % (22967)Memory used [KB]: 5884
% 2.53/0.75 % (22967)Time elapsed: 0.039 s
% 2.53/0.75 % (22967)Instructions burned: 71 (million)
% 2.53/0.75 % (22967)------------------------------
% 2.53/0.75 % (22967)------------------------------
% 2.53/0.75 % (22971)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2996ds/6Mi)
% 2.53/0.75 % (22970)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2996ds/41Mi)
% 2.53/0.75 % (22971)Instruction limit reached!
% 2.53/0.75 % (22971)------------------------------
% 2.53/0.75 % (22971)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.53/0.75 % (22971)Termination reason: Unknown
% 2.53/0.75 % (22971)Termination phase: Property scanning
% 2.53/0.75
% 2.53/0.75 % (22971)Memory used [KB]: 1023
% 2.53/0.75 % (22971)Time elapsed: 0.003 s
% 2.53/0.75 % (22971)Instructions burned: 7 (million)
% 2.53/0.75 % (22971)------------------------------
% 2.53/0.75 % (22971)------------------------------
% 2.53/0.76 % (22973)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2996ds/343Mi)
% 2.53/0.76 % (22972)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2996ds/150Mi)
% 3.08/0.77 % (22970)Instruction limit reached!
% 3.08/0.77 % (22970)------------------------------
% 3.08/0.77 % (22970)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.08/0.77 % (22970)Termination reason: Unknown
% 3.08/0.77 % (22970)Termination phase: Saturation
% 3.08/0.77
% 3.08/0.77 % (22970)Memory used [KB]: 5756
% 3.08/0.77 % (22970)Time elapsed: 0.022 s
% 3.08/0.77 % (22970)Instructions burned: 42 (million)
% 3.08/0.77 % (22970)------------------------------
% 3.08/0.77 % (22970)------------------------------
% 3.08/0.78 % (22968)Instruction limit reached!
% 3.08/0.78 % (22968)------------------------------
% 3.08/0.78 % (22968)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.08/0.78 % (22968)Termination reason: Unknown
% 3.08/0.78 % (22968)Termination phase: Saturation
% 3.08/0.78
% 3.08/0.78 % (22968)Memory used [KB]: 6012
% 3.08/0.78 % (22968)Time elapsed: 0.041 s
% 3.08/0.78 % (22968)Instructions burned: 84 (million)
% 3.08/0.78 % (22968)------------------------------
% 3.08/0.78 % (22968)------------------------------
% 3.08/0.78 % (22974)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on theBenchmark for (2995ds/109Mi)
% 3.08/0.79 % (22939)Instruction limit reached!
% 3.08/0.79 % (22939)------------------------------
% 3.08/0.79 % (22939)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.08/0.79 % (22939)Termination reason: Unknown
% 3.08/0.79 % (22939)Termination phase: Saturation
% 3.08/0.79
% 3.08/0.79 % (22939)Memory used [KB]: 6908
% 3.08/0.79 % (22939)Time elapsed: 0.344 s
% 3.08/0.79 % (22939)Instructions burned: 780 (million)
% 3.08/0.79 % (22939)------------------------------
% 3.08/0.79 % (22939)------------------------------
% 3.08/0.79 % (22962)Instruction limit reached!
% 3.08/0.79 % (22962)------------------------------
% 3.08/0.79 % (22962)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.08/0.79 % (22962)Termination reason: Unknown
% 3.08/0.79 % (22962)Termination phase: Saturation
% 3.08/0.79
% 3.08/0.79 % (22962)Memory used [KB]: 2302
% 3.08/0.79 % (22962)Time elapsed: 0.164 s
% 3.08/0.79 % (22962)Instructions burned: 433 (million)
% 3.08/0.79 % (22962)------------------------------
% 3.08/0.79 % (22962)------------------------------
% 3.37/0.80 % (22975)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on theBenchmark for (2995ds/253Mi)
% 3.37/0.80 % (22977)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on theBenchmark for (2995ds/614Mi)
% 3.37/0.80 % (22972)Refutation not found, incomplete strategy
% 3.37/0.80 % (22972)------------------------------
% 3.37/0.80 % (22972)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.37/0.80 % (22972)Termination reason: Refutation not found, incomplete strategy
% 3.37/0.80
% 3.37/0.80
% 3.37/0.80 % (22972)Memory used [KB]: 5884
% 3.37/0.80 % (22972)Time elapsed: 0.042 s
% 3.37/0.80 % (22972)Instructions burned: 87 (million)
% 3.37/0.80 % (22972)------------------------------
% 3.37/0.80 % (22972)------------------------------
% 3.37/0.81 % (22976)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2995ds/140Mi)
% 3.37/0.81 % (22976)Refutation not found, incomplete strategy
% 3.37/0.81 % (22976)------------------------------
% 3.37/0.81 % (22976)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.37/0.81 % (22976)Termination reason: Refutation not found, incomplete strategy
% 3.37/0.81
% 3.37/0.81
% 3.37/0.81 % (22976)Memory used [KB]: 5628
% 3.37/0.81 % (22976)Time elapsed: 0.008 s
% 3.37/0.81 % (22976)Instructions burned: 14 (million)
% 3.37/0.81 % (22976)------------------------------
% 3.37/0.81 % (22976)------------------------------
% 3.37/0.82 % (22978)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on theBenchmark for (2995ds/202Mi)
% 3.37/0.82 % (22978)Refutation not found, incomplete strategy
% 3.37/0.82 % (22978)------------------------------
% 3.37/0.82 % (22978)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.37/0.82 % (22978)Termination reason: Refutation not found, incomplete strategy
% 3.37/0.82
% 3.37/0.82
% 3.37/0.82 % (22978)Memory used [KB]: 5628
% 3.37/0.82 % (22978)Time elapsed: 0.006 s
% 3.37/0.82 % (22978)Instructions burned: 9 (million)
% 3.37/0.82 % (22978)------------------------------
% 3.37/0.82 % (22978)------------------------------
% 3.37/0.82 % (22966)Instruction limit reached!
% 3.37/0.82 % (22966)------------------------------
% 3.37/0.82 % (22966)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.37/0.82 % (22966)Termination reason: Unknown
% 3.37/0.82 % (22966)Termination phase: Saturation
% 3.37/0.82
% 3.37/0.82 % (22966)Memory used [KB]: 6396
% 3.37/0.82 % (22966)Time elapsed: 0.136 s
% 3.37/0.82 % (22966)Instructions burned: 453 (million)
% 3.37/0.82 % (22966)------------------------------
% 3.37/0.82 % (22966)------------------------------
% 3.65/0.83 % (22979)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on theBenchmark for (2995ds/339Mi)
% 3.65/0.83 % (22980)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=283:si=on:rtra=on_0 on theBenchmark for (2995ds/283Mi)
% 3.65/0.84 % (22974)Instruction limit reached!
% 3.65/0.84 % (22974)------------------------------
% 3.65/0.84 % (22974)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.65/0.84 % (22974)Termination reason: Unknown
% 3.65/0.84 % (22974)Termination phase: Saturation
% 3.65/0.84
% 3.65/0.84 % (22974)Memory used [KB]: 6012
% 3.65/0.84 % (22974)Time elapsed: 0.057 s
% 3.65/0.84 % (22974)Instructions burned: 109 (million)
% 3.65/0.84 % (22974)------------------------------
% 3.65/0.84 % (22974)------------------------------
% 3.65/0.84 % (22981)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on theBenchmark for (2995ds/134Mi)
% 3.65/0.85 % (22982)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2995ds/298Mi)
% 3.65/0.86 % (22941)Instruction limit reached!
% 3.65/0.86 % (22941)------------------------------
% 3.65/0.86 % (22941)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.65/0.86 % (22941)Termination reason: Unknown
% 3.65/0.86 % (22941)Termination phase: Saturation
% 3.65/0.86
% 3.65/0.86 % (22941)Memory used [KB]: 7547
% 3.65/0.86 % (22941)Time elapsed: 0.397 s
% 3.65/0.86 % (22941)Instructions burned: 879 (million)
% 3.65/0.86 % (22941)------------------------------
% 3.65/0.86 % (22941)------------------------------
% 3.65/0.86 % (22973)Instruction limit reached!
% 3.65/0.86 % (22973)------------------------------
% 3.65/0.86 % (22973)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.65/0.86 % (22973)Termination reason: Unknown
% 3.65/0.86 % (22973)Termination phase: Saturation
% 3.65/0.86
% 3.65/0.86 % (22973)Memory used [KB]: 6652
% 3.65/0.86 % (22973)Time elapsed: 0.108 s
% 3.65/0.86 % (22973)Instructions burned: 345 (million)
% 3.65/0.86 % (22973)------------------------------
% 3.65/0.86 % (22973)------------------------------
% 3.65/0.87 % (22984)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on theBenchmark for (2994ds/258Mi)
% 3.65/0.87 % (22983)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2995ds/192Mi)
% 3.65/0.91 % (22981)Instruction limit reached!
% 3.65/0.91 % (22981)------------------------------
% 3.65/0.91 % (22981)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.65/0.91 % (22981)Termination reason: Unknown
% 3.65/0.91 % (22981)Termination phase: Saturation
% 3.65/0.91
% 3.65/0.91 % (22981)Memory used [KB]: 6140
% 3.65/0.91 % (22981)Time elapsed: 0.065 s
% 3.65/0.91 % (22981)Instructions burned: 134 (million)
% 3.65/0.91 % (22981)------------------------------
% 3.65/0.91 % (22981)------------------------------
% 3.65/0.92 % (22975)Instruction limit reached!
% 3.65/0.92 % (22975)------------------------------
% 3.65/0.92 % (22975)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.65/0.92 % (22975)Termination reason: Unknown
% 3.65/0.92 % (22975)Termination phase: Saturation
% 3.65/0.92
% 3.65/0.92 % (22975)Memory used [KB]: 6524
% 3.65/0.92 % (22975)Time elapsed: 0.124 s
% 3.65/0.92 % (22975)Instructions burned: 253 (million)
% 3.65/0.92 % (22975)------------------------------
% 3.65/0.92 % (22975)------------------------------
% 3.65/0.92 % (22985)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 3.65/0.92 % (22980)Instruction limit reached!
% 3.65/0.92 % (22980)------------------------------
% 3.65/0.92 % (22980)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.65/0.92 % (22980)Termination reason: Unknown
% 3.65/0.92 % (22980)Termination phase: Saturation
% 3.65/0.92
% 3.65/0.92 % (22980)Memory used [KB]: 6524
% 3.65/0.92 % (22980)Time elapsed: 0.091 s
% 3.65/0.92 % (22980)Instructions burned: 284 (million)
% 3.65/0.92 % (22980)------------------------------
% 3.65/0.92 % (22980)------------------------------
% 4.18/0.93 % (22986)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on theBenchmark for (2994ds/231Mi)
% 4.18/0.94 % (22987)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on theBenchmark for (2994ds/458Mi)
% 4.18/0.95 % (22984)Refutation not found, non-redundant clauses discarded% (22984)------------------------------
% 4.18/0.95 % (22984)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.18/0.95 % (22984)Termination reason: Refutation not found, non-redundant clauses discarded
% 4.18/0.95
% 4.18/0.95 % (22984)Memory used [KB]: 6396
% 4.18/0.95 % (22984)Time elapsed: 0.077 s
% 4.18/0.95 % (22984)Instructions burned: 245 (million)
% 4.18/0.95 % (22984)------------------------------
% 4.18/0.95 % (22984)------------------------------
% 4.18/0.96 % (22988)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2994ds/31Mi)
% 4.18/0.97 % (22983)Instruction limit reached!
% 4.18/0.97 % (22983)------------------------------
% 4.18/0.97 % (22983)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.18/0.97 % (22983)Termination reason: Unknown
% 4.18/0.97 % (22983)Termination phase: Saturation
% 4.18/0.97
% 4.18/0.97 % (22983)Memory used [KB]: 6396
% 4.18/0.97 % (22983)Time elapsed: 0.094 s
% 4.18/0.97 % (22988)Instruction limit reached!
% 4.18/0.97 % (22988)------------------------------
% 4.18/0.97 % (22988)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.18/0.97 % (22988)Termination reason: Unknown
% 4.18/0.97 % (22988)Termination phase: Saturation
% 4.18/0.97
% 4.18/0.97 % (22988)Memory used [KB]: 5756
% 4.18/0.97 % (22988)Time elapsed: 0.011 s
% 4.18/0.97 % (22988)Instructions burned: 33 (million)
% 4.18/0.97 % (22988)------------------------------
% 4.18/0.97 % (22988)------------------------------
% 4.18/0.97 % (22983)Instructions burned: 192 (million)
% 4.18/0.97 % (22983)------------------------------
% 4.18/0.97 % (22983)------------------------------
% 4.18/0.97 % (22985)Instruction limit reached!
% 4.18/0.97 % (22985)------------------------------
% 4.18/0.97 % (22985)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.18/0.97 % (22985)Termination reason: Unknown
% 4.18/0.97 % (22985)Termination phase: Saturation
% 4.18/0.97
% 4.18/0.97 % (22985)Memory used [KB]: 6012
% 4.18/0.97 % (22985)Time elapsed: 0.048 s
% 4.18/0.97 % (22985)Instructions burned: 90 (million)
% 4.18/0.97 % (22985)------------------------------
% 4.18/0.97 % (22985)------------------------------
% 4.18/0.97 % (22979)Instruction limit reached!
% 4.18/0.97 % (22979)------------------------------
% 4.18/0.97 % (22979)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.18/0.97 % (22979)Termination reason: Unknown
% 4.18/0.97 % (22979)Termination phase: Saturation
% 4.18/0.97
% 4.18/0.97 % (22979)Memory used [KB]: 6268
% 4.18/0.97 % (22979)Time elapsed: 0.143 s
% 4.18/0.97 % (22979)Instructions burned: 340 (million)
% 4.18/0.97 % (22979)------------------------------
% 4.18/0.97 % (22979)------------------------------
% 4.18/0.97 % (22989)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on theBenchmark for (2993ds/297Mi)
% 4.18/0.98 % (22992)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on theBenchmark for (2993ds/182Mi)
% 4.18/0.98 % (22991)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on theBenchmark for (2993ds/182Mi)
% 4.18/0.98 % (22990)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on theBenchmark for (2993ds/987Mi)
% 4.60/1.00 % (22982)Instruction limit reached!
% 4.60/1.00 % (22982)------------------------------
% 4.60/1.00 % (22982)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.60/1.00 % (22982)Termination reason: Unknown
% 4.60/1.00 % (22982)Termination phase: Saturation
% 4.60/1.00
% 4.60/1.00 % (22982)Memory used [KB]: 6396
% 4.60/1.00 % (22982)Time elapsed: 0.145 s
% 4.60/1.00 % (22982)Instructions burned: 299 (million)
% 4.60/1.00 % (22982)------------------------------
% 4.60/1.00 % (22982)------------------------------
% 4.60/1.00 % (22986)Instruction limit reached!
% 4.60/1.00 % (22986)------------------------------
% 4.60/1.00 % (22986)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.60/1.00 % (22986)Termination reason: Unknown
% 4.60/1.00 % (22986)Termination phase: Saturation
% 4.60/1.00
% 4.60/1.00 % (22986)Memory used [KB]: 6780
% 4.60/1.00 % (22986)Time elapsed: 0.076 s
% 4.60/1.00 % (22986)Instructions burned: 233 (million)
% 4.60/1.00 % (22986)------------------------------
% 4.60/1.00 % (22986)------------------------------
% 4.60/1.01 % (22993)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on theBenchmark for (2993ds/154Mi)
% 4.60/1.01 % (22994)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on theBenchmark for (2993ds/79Mi)
% 4.60/1.02 % (22977)Instruction limit reached!
% 4.60/1.02 % (22977)------------------------------
% 4.60/1.02 % (22977)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.60/1.02 % (22977)Termination reason: Unknown
% 4.60/1.02 % (22977)Termination phase: Saturation
% 4.60/1.02
% 4.60/1.02 % (22977)Memory used [KB]: 7036
% 4.60/1.02 % (22977)Time elapsed: 0.221 s
% 4.60/1.02 % (22977)Instructions burned: 615 (million)
% 4.60/1.02 % (22977)------------------------------
% 4.60/1.02 % (22977)------------------------------
% 4.60/1.04 % (22995)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on theBenchmark for (2993ds/216Mi)
% 4.60/1.04 % (22994)Instruction limit reached!
% 4.60/1.04 % (22994)------------------------------
% 4.60/1.04 % (22994)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.60/1.04 % (22994)Termination reason: Unknown
% 4.60/1.04 % (22994)Termination phase: Saturation
% 4.60/1.04
% 4.60/1.04 % (22994)Memory used [KB]: 5884
% 4.60/1.04 % (22994)Time elapsed: 0.025 s
% 4.60/1.04 % (22994)Instructions burned: 79 (million)
% 4.60/1.04 % (22994)------------------------------
% 4.60/1.04 % (22994)------------------------------
% 4.60/1.04 % (22992)Instruction limit reached!
% 4.60/1.04 % (22992)------------------------------
% 4.60/1.04 % (22992)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.60/1.04 % (22992)Termination reason: Unknown
% 4.60/1.04 % (22992)Termination phase: Saturation
% 4.60/1.04
% 4.60/1.04 % (22992)Memory used [KB]: 6268
% 4.60/1.04 % (22992)Time elapsed: 0.061 s
% 4.60/1.04 % (22992)Instructions burned: 182 (million)
% 4.60/1.04 % (22992)------------------------------
% 4.60/1.04 % (22992)------------------------------
% 4.60/1.04 % (22996)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on theBenchmark for (2993ds/114Mi)
% 4.60/1.05 % (22997)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on theBenchmark for (2993ds/922Mi)
% 4.60/1.05 % (22996)Refutation not found, incomplete strategy
% 4.60/1.05 % (22996)------------------------------
% 4.60/1.05 % (22996)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.60/1.05 % (22996)Termination reason: Refutation not found, incomplete strategy
% 4.60/1.05
% 4.60/1.05
% 4.60/1.05 % (22996)Memory used [KB]: 5628
% 4.60/1.05 % (22996)Time elapsed: 0.006 s
% 4.60/1.05 % (22996)Instructions burned: 18 (million)
% 4.60/1.05 % (22996)------------------------------
% 4.60/1.05 % (22996)------------------------------
% 4.60/1.05 % (22989)Instruction limit reached!
% 4.60/1.05 % (22989)------------------------------
% 4.60/1.05 % (22989)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.60/1.05 % (22989)Termination reason: Unknown
% 4.60/1.05 % (22989)Termination phase: Saturation
% 4.60/1.05
% 4.60/1.05 % (22989)Memory used [KB]: 6012
% 4.60/1.05 % (22989)Time elapsed: 0.079 s
% 4.60/1.05 % (22989)Instructions burned: 298 (million)
% 4.60/1.05 % (22989)------------------------------
% 4.60/1.05 % (22989)------------------------------
% 4.60/1.06 % (22998)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on theBenchmark for (2993ds/182Mi)
% 4.60/1.06 % (22999)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on theBenchmark for (2993ds/164Mi)
% 5.27/1.07 % (22991)Instruction limit reached!
% 5.27/1.07 % (22991)------------------------------
% 5.27/1.07 % (22991)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.27/1.07 % (22991)Termination reason: Unknown
% 5.27/1.07 % (22991)Termination phase: Saturation
% 5.27/1.07
% 5.27/1.07 % (22991)Memory used [KB]: 6396
% 5.27/1.07 % (22991)Time elapsed: 0.092 s
% 5.27/1.07 % (22991)Instructions burned: 183 (million)
% 5.27/1.07 % (22991)------------------------------
% 5.27/1.07 % (22991)------------------------------
% 5.85/1.08 % (22993)Instruction limit reached!
% 5.85/1.08 % (22993)------------------------------
% 5.85/1.08 % (22993)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.85/1.08 % (22993)Termination reason: Unknown
% 5.85/1.08 % (22993)Termination phase: Saturation
% 5.85/1.08
% 5.85/1.08 % (22993)Memory used [KB]: 6268
% 5.85/1.08 % (22993)Time elapsed: 0.074 s
% 5.85/1.08 % (22993)Instructions burned: 154 (million)
% 5.85/1.08 % (22993)------------------------------
% 5.85/1.08 % (22993)------------------------------
% 5.85/1.09 % (23000)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on theBenchmark for (2992ds/50Mi)
% 5.85/1.10 % (23001)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on theBenchmark for (2992ds/368Mi)
% 5.85/1.11 % (23000)Instruction limit reached!
% 5.85/1.11 % (23000)------------------------------
% 5.85/1.11 % (23000)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.85/1.11 % (23000)Termination reason: Unknown
% 5.85/1.11 % (23000)Termination phase: Saturation
% 5.85/1.11
% 5.85/1.11 % (23000)Memory used [KB]: 10234
% 5.85/1.11 % (23000)Time elapsed: 0.039 s
% 5.85/1.11 % (23000)Instructions burned: 50 (million)
% 5.85/1.11 % (23000)------------------------------
% 5.85/1.11 % (23000)------------------------------
% 5.85/1.11 % (22999)Instruction limit reached!
% 5.85/1.11 % (22999)------------------------------
% 5.85/1.11 % (22999)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.85/1.11 % (22999)Termination reason: Unknown
% 5.85/1.11 % (22999)Termination phase: Saturation
% 5.85/1.11
% 5.85/1.11 % (22999)Memory used [KB]: 1535
% 5.85/1.11 % (22999)Time elapsed: 0.051 s
% 5.85/1.11 % (22999)Instructions burned: 166 (million)
% 5.85/1.11 % (22999)------------------------------
% 5.85/1.11 % (22999)------------------------------
% 6.06/1.12 % (23003)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on theBenchmark for (2992ds/267Mi)
% 6.06/1.12 % (23002)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on theBenchmark for (2992ds/1021Mi)
% 6.06/1.12 % (22998)Instruction limit reached!
% 6.06/1.12 % (22998)------------------------------
% 6.06/1.12 % (22998)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.06/1.12 % (22998)Termination reason: Unknown
% 6.06/1.12 % (22998)Termination phase: Saturation
% 6.06/1.12
% 6.06/1.12 % (22998)Memory used [KB]: 5756
% 6.06/1.12 % (22998)Time elapsed: 0.067 s
% 6.06/1.12 % (22998)Instructions burned: 184 (million)
% 6.06/1.12 % (22998)------------------------------
% 6.06/1.12 % (22998)------------------------------
% 6.06/1.14 % (23004)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on theBenchmark for (2992ds/204Mi)
% 6.06/1.14 % (22995)Instruction limit reached!
% 6.06/1.14 % (22995)------------------------------
% 6.06/1.14 % (22995)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.06/1.14 % (22995)Termination reason: Unknown
% 6.06/1.14 % (22995)Termination phase: Saturation
% 6.06/1.14
% 6.06/1.14 % (22995)Memory used [KB]: 6140
% 6.06/1.14 % (22995)Time elapsed: 0.124 s
% 6.06/1.14 % (22995)Instructions burned: 216 (million)
% 6.06/1.14 % (22995)------------------------------
% 6.06/1.14 % (22995)------------------------------
% 6.19/1.15 % (22987)Instruction limit reached!
% 6.19/1.15 % (22987)------------------------------
% 6.19/1.15 % (22987)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.19/1.15 % (22987)Termination reason: Unknown
% 6.19/1.15 % (22987)Termination phase: Saturation
% 6.19/1.15
% 6.19/1.15 % (22987)Memory used [KB]: 6780
% 6.19/1.15 % (22987)Time elapsed: 0.213 s
% 6.19/1.15 % (22987)Instructions burned: 458 (million)
% 6.19/1.15 % (22987)------------------------------
% 6.19/1.15 % (22987)------------------------------
% 6.19/1.16 % (23005)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2992ds/26Mi)
% 6.19/1.16 % (23006)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on theBenchmark for (2992ds/53Mi)
% 6.19/1.17 % (23005)Instruction limit reached!
% 6.19/1.17 % (23005)------------------------------
% 6.19/1.17 % (23005)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.19/1.17 % (23005)Termination reason: Unknown
% 6.19/1.17 % (23005)Termination phase: Saturation
% 6.19/1.17
% 6.19/1.17 % (23005)Memory used [KB]: 5756
% 6.19/1.17 % (23005)Time elapsed: 0.015 s
% 6.19/1.17 % (23005)Instructions burned: 26 (million)
% 6.19/1.17 % (23005)------------------------------
% 6.19/1.17 % (23005)------------------------------
% 6.19/1.18 % (23007)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on theBenchmark for (2991ds/4436Mi)
% 6.19/1.19 % (23006)Instruction limit reached!
% 6.19/1.19 % (23006)------------------------------
% 6.19/1.19 % (23006)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.19/1.19 % (23006)Termination reason: Unknown
% 6.19/1.19 % (23006)Termination phase: Saturation
% 6.19/1.19
% 6.19/1.19 % (23006)Memory used [KB]: 5756
% 6.19/1.19 % (23006)Time elapsed: 0.025 s
% 6.19/1.19 % (23006)Instructions burned: 55 (million)
% 6.19/1.19 % (23006)------------------------------
% 6.19/1.19 % (23006)------------------------------
% 6.19/1.19 % (23007)Refutation not found, incomplete strategy
% 6.19/1.19 % (23007)------------------------------
% 6.19/1.19 % (23007)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.19/1.19 % (23007)Termination reason: Refutation not found, incomplete strategy
% 6.19/1.19
% 6.19/1.19
% 6.19/1.19 % (23007)Memory used [KB]: 5628
% 6.19/1.19 % (23007)Time elapsed: 0.010 s
% 6.19/1.19 % (23007)Instructions burned: 17 (million)
% 6.19/1.19 % (23007)------------------------------
% 6.19/1.19 % (23007)------------------------------
% 6.19/1.20 % (23003)Instruction limit reached!
% 6.19/1.20 % (23003)------------------------------
% 6.19/1.20 % (23003)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.19/1.20 % (23003)Termination reason: Unknown
% 6.19/1.20 % (23003)Termination phase: Saturation
% 6.19/1.20
% 6.19/1.20 % (23003)Memory used [KB]: 6524
% 6.19/1.20 % (23003)Time elapsed: 0.084 s
% 6.19/1.20 % (23003)Instructions burned: 268 (million)
% 6.19/1.20 % (23003)------------------------------
% 6.19/1.20 % (23003)------------------------------
% 6.19/1.20 % (23008)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on theBenchmark for (2991ds/1539Mi)
% 6.19/1.21 % (23010)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on theBenchmark for (2991ds/5205Mi)
% 6.19/1.21 % (23009)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on theBenchmark for (2991ds/408Mi)
% 6.19/1.22 % (23001)Instruction limit reached!
% 6.19/1.22 % (23001)------------------------------
% 6.19/1.22 % (23001)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.19/1.22 % (23001)Termination reason: Unknown
% 6.19/1.22 % (23001)Termination phase: Saturation
% 6.19/1.22
% 6.19/1.22 % (23001)Memory used [KB]: 6524
% 6.19/1.22 % (23001)Time elapsed: 0.138 s
% 6.19/1.22 % (23001)Instructions burned: 368 (million)
% 6.19/1.22 % (23001)------------------------------
% 6.19/1.22 % (23001)------------------------------
% 6.19/1.22 % (23011)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on theBenchmark for (2991ds/1913Mi)
% 6.67/1.24 % (23004)Instruction limit reached!
% 6.67/1.24 % (23004)------------------------------
% 6.67/1.24 % (23004)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.67/1.24 % (23004)Termination reason: Unknown
% 6.67/1.24 % (23004)Termination phase: Saturation
% 6.67/1.24
% 6.67/1.24 % (23004)Memory used [KB]: 6524
% 6.67/1.24 % (23004)Time elapsed: 0.122 s
% 6.67/1.24 % (23004)Instructions burned: 205 (million)
% 6.67/1.24 % (23004)------------------------------
% 6.67/1.24 % (23004)------------------------------
% 6.67/1.25 % (23012)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on theBenchmark for (2991ds/4350Mi)
% 6.67/1.27 % (23012)Refutation not found, incomplete strategy
% 6.67/1.27 % (23012)------------------------------
% 6.67/1.27 % (23012)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.67/1.27 % (23012)Termination reason: Refutation not found, incomplete strategy
% 6.67/1.27
% 6.67/1.27
% 6.67/1.27 % (23012)Memory used [KB]: 5756
% 6.67/1.27 % (23012)Time elapsed: 0.016 s
% 6.67/1.27 % (23012)Instructions burned: 30 (million)
% 6.67/1.27 % (23012)------------------------------
% 6.67/1.27 % (23012)------------------------------
% 6.92/1.28 % (23013)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on theBenchmark for (2990ds/68Mi)
% 6.92/1.32 % (23013)Instruction limit reached!
% 6.92/1.32 % (23013)------------------------------
% 6.92/1.32 % (23013)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.92/1.32 % (23013)Termination reason: Unknown
% 6.92/1.32 % (23013)Termination phase: Saturation
% 6.92/1.32
% 6.92/1.32 % (23013)Memory used [KB]: 5884
% 6.92/1.32 % (23013)Time elapsed: 0.036 s
% 6.92/1.32 % (23013)Instructions burned: 69 (million)
% 6.92/1.32 % (23013)------------------------------
% 6.92/1.32 % (23013)------------------------------
% 6.92/1.33 % (22997)Instruction limit reached!
% 6.92/1.33 % (22997)------------------------------
% 6.92/1.33 % (22997)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.92/1.33 % (22997)Termination reason: Unknown
% 6.92/1.33 % (22997)Termination phase: Saturation
% 6.92/1.33
% 6.92/1.33 % (22997)Memory used [KB]: 7291
% 6.92/1.33 % (22997)Time elapsed: 0.283 s
% 6.92/1.33 % (22997)Instructions burned: 924 (million)
% 6.92/1.33 % (22997)------------------------------
% 6.92/1.33 % (22997)------------------------------
% 6.92/1.33 % (23014)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on theBenchmark for (2990ds/358Mi)
% 6.92/1.34 % (23015)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2990ds/31Mi)
% 6.92/1.34 % (22990)First to succeed.
% 6.92/1.35 % (23015)Instruction limit reached!
% 6.92/1.35 % (23015)------------------------------
% 6.92/1.35 % (23015)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.92/1.35 % (23015)Termination reason: Unknown
% 6.92/1.35 % (23015)Termination phase: Saturation
% 6.92/1.35
% 6.92/1.35 % (23015)Memory used [KB]: 5756
% 6.92/1.35 % (23015)Time elapsed: 0.011 s
% 6.92/1.35 % (23015)Instructions burned: 33 (million)
% 6.92/1.35 % (23015)------------------------------
% 6.92/1.35 % (23015)------------------------------
% 7.10/1.35 % (23016)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on theBenchmark for (2990ds/279Mi)
% 7.10/1.36 % (22990)Refutation found. Thanks to Tanya!
% 7.10/1.36 % SZS status Theorem for theBenchmark
% 7.10/1.36 % SZS output start Proof for theBenchmark
% 7.10/1.36 thf(type_def_5, type, mu: $tType).
% 7.10/1.36 thf(func_def_0, type, mu: $tType).
% 7.10/1.36 thf(func_def_1, type, qmltpeq: mu > mu > $i > $o).
% 7.10/1.36 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 7.10/1.36 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 7.10/1.36 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 7.10/1.36 thf(func_def_6, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 7.10/1.36 thf(func_def_7, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 7.10/1.36 thf(func_def_8, type, mtrue: $i > $o).
% 7.10/1.36 thf(func_def_9, type, mfalse: $i > $o).
% 7.10/1.36 thf(func_def_10, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 7.10/1.36 thf(func_def_11, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 7.10/1.36 thf(func_def_12, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 7.10/1.36 thf(func_def_13, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 7.10/1.36 thf(func_def_14, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 7.10/1.36 thf(func_def_15, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 7.10/1.36 thf(func_def_16, type, exists_in_world: mu > $i > $o).
% 7.10/1.36 thf(func_def_17, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 7.10/1.36 thf(func_def_18, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 7.10/1.36 thf(func_def_19, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 7.10/1.36 thf(func_def_20, type, mreflexive: ($i > $i > $o) > $o).
% 7.10/1.36 thf(func_def_21, type, msymmetric: ($i > $i > $o) > $o).
% 7.10/1.36 thf(func_def_22, type, mserial: ($i > $i > $o) > $o).
% 7.10/1.36 thf(func_def_23, type, mtransitive: ($i > $i > $o) > $o).
% 7.10/1.36 thf(func_def_24, type, meuclidean: ($i > $i > $o) > $o).
% 7.10/1.36 thf(func_def_25, type, mpartially_functional: ($i > $i > $o) > $o).
% 7.10/1.36 thf(func_def_26, type, mfunctional: ($i > $i > $o) > $o).
% 7.10/1.36 thf(func_def_27, type, mweakly_dense: ($i > $i > $o) > $o).
% 7.10/1.36 thf(func_def_28, type, mweakly_connected: ($i > $i > $o) > $o).
% 7.10/1.36 thf(func_def_29, type, mweakly_directed: ($i > $i > $o) > $o).
% 7.10/1.36 thf(func_def_30, type, mvalid: ($i > $o) > $o).
% 7.10/1.36 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 7.10/1.36 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 7.10/1.36 thf(func_def_33, type, minvalid: ($i > $o) > $o).
% 7.10/1.36 thf(func_def_34, type, rel_s4: $i > $i > $o).
% 7.10/1.36 thf(func_def_35, type, mbox_s4: ($i > $o) > $i > $o).
% 7.10/1.36 thf(func_def_36, type, mdia_s4: ($i > $o) > $i > $o).
% 7.10/1.36 thf(func_def_37, type, p: $i > $o).
% 7.10/1.36 thf(func_def_38, type, big_f: mu > $i > $o).
% 7.10/1.36 thf(func_def_55, type, ph1: !>[X0: $tType]:(X0)).
% 7.10/1.36 thf(func_def_56, type, sK2: $i > mu).
% 7.10/1.36 thf(func_def_65, type, sK11: mu).
% 7.10/1.36 thf(f5258,plain,(
% 7.10/1.36 $false),
% 7.10/1.36 inference(avatar_sat_refutation,[],[f541,f1071,f1262,f2973,f5251])).
% 7.10/1.36 thf(f5251,plain,(
% 7.10/1.36 ~spl0_1 | ~spl0_8),
% 7.10/1.36 inference(avatar_contradiction_clause,[],[f5250])).
% 7.10/1.36 thf(f5250,plain,(
% 7.10/1.36 $false | (~spl0_1 | ~spl0_8)),
% 7.10/1.36 inference(trivial_inequality_removal,[],[f5249])).
% 7.10/1.36 thf(f5249,plain,(
% 7.10/1.36 ($true = $false) | (~spl0_1 | ~spl0_8)),
% 7.10/1.36 inference(forward_demodulation,[],[f5248,f1491])).
% 7.10/1.36 thf(f1491,plain,(
% 7.10/1.36 ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | (big_f @ sK11 @ Y0)))) = $false) | ~spl0_1),
% 7.10/1.36 inference(boolean_simplification,[],[f1484])).
% 7.10/1.36 thf(f1484,plain,(
% 7.10/1.36 ($false = ($true => (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | (big_f @ sK11 @ Y0)))))) | ~spl0_1),
% 7.10/1.36 inference(backward_demodulation,[],[f1464,f1478])).
% 7.10/1.36 thf(f1478,plain,(
% 7.10/1.36 ($true = (exists_in_world @ sK11 @ sK10)) | ~spl0_1),
% 7.10/1.36 inference(binary_proxy_clausification,[],[f1464])).
% 7.10/1.36 thf(f1464,plain,(
% 7.10/1.36 (((exists_in_world @ sK11 @ sK10) => (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | (big_f @ sK11 @ Y0))))) = $false) | ~spl0_1),
% 7.10/1.36 inference(beta_eta_normalization,[],[f1463])).
% 7.10/1.36 thf(f1463,plain,(
% 7.10/1.36 (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK10) => (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK10 @ Y1)) | (big_f @ Y0 @ Y1)))))) @ sK11) = $false) | ~spl0_1),
% 7.10/1.36 inference(sigma_clausification,[],[f1436])).
% 7.10/1.36 thf(f1436,plain,(
% 7.10/1.36 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK10) => (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK10 @ Y1)) | (big_f @ Y0 @ Y1))))))) = $false) | ~spl0_1),
% 7.10/1.36 inference(boolean_simplification,[],[f1433])).
% 7.10/1.36 thf(f1433,plain,(
% 7.10/1.36 (($false | (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK10) => (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK10 @ Y1)) | (big_f @ Y0 @ Y1)))))))) = $false) | ~spl0_1),
% 7.10/1.36 inference(backward_demodulation,[],[f1324,f1424])).
% 7.10/1.36 thf(f1424,plain,(
% 7.10/1.36 ((~ (rel_s4 @ sK9 @ sK10)) = $false) | ~spl0_1),
% 7.10/1.36 inference(binary_proxy_clausification,[],[f1324])).
% 7.10/1.36 thf(f1324,plain,(
% 7.10/1.36 ($false = ((~ (rel_s4 @ sK9 @ sK10)) | (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK10) => (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK10 @ Y1)) | (big_f @ Y0 @ Y1))))))))) | ~spl0_1),
% 7.10/1.36 inference(beta_eta_normalization,[],[f1323])).
% 7.10/1.36 thf(f1323,plain,(
% 7.10/1.36 (((^[Y0 : $i]: ((~ (rel_s4 @ sK9 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (big_f @ Y1 @ Y2))))))))) @ sK10) = $false) | ~spl0_1),
% 7.10/1.36 inference(sigma_clausification,[],[f1221])).
% 7.10/1.36 thf(f1221,plain,(
% 7.10/1.36 ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK9 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (big_f @ Y1 @ Y2)))))))))) = $false) | ~spl0_1),
% 7.10/1.36 inference(boolean_simplification,[],[f1213])).
% 7.10/1.36 thf(f1213,plain,(
% 7.10/1.36 (($false | (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK9 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (big_f @ Y1 @ Y2))))))))))) = $false) | ~spl0_1),
% 7.10/1.36 inference(backward_demodulation,[],[f1120,f1159])).
% 7.10/1.36 thf(f1159,plain,(
% 7.10/1.36 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK9 @ Y0)) | (p @ Y0))))) = $false) | ~spl0_1),
% 7.10/1.36 inference(binary_proxy_clausification,[],[f1120])).
% 7.10/1.36 thf(f1120,plain,(
% 7.10/1.36 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK9 @ Y0)) | (p @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK9 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (big_f @ Y1 @ Y2))))))))))) = $false) | ~spl0_1),
% 7.10/1.36 inference(boolean_simplification,[],[f1099])).
% 7.10/1.36 thf(f1099,plain,(
% 7.10/1.36 (($false | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK9 @ Y0)) | (p @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK9 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (big_f @ Y1 @ Y2)))))))))))) = $false) | ~spl0_1),
% 7.10/1.36 inference(backward_demodulation,[],[f1084,f1094])).
% 7.10/1.36 thf(f1094,plain,(
% 7.10/1.36 ((~ (rel_s4 @ sK4 @ sK9)) = $false) | ~spl0_1),
% 7.10/1.36 inference(binary_proxy_clausification,[],[f1084])).
% 7.10/1.36 thf(f1084,plain,(
% 7.10/1.36 (((~ (rel_s4 @ sK4 @ sK9)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK9 @ Y0)) | (p @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK9 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (big_f @ Y1 @ Y2)))))))))))) = $false) | ~spl0_1),
% 7.10/1.36 inference(beta_eta_normalization,[],[f1083])).
% 7.10/1.36 thf(f1083,plain,(
% 7.10/1.36 (((^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (big_f @ Y2 @ Y3))))))))))))) @ sK9) = $false) | ~spl0_1),
% 7.10/1.36 inference(sigma_clausification,[],[f1079])).
% 7.10/1.36 thf(f1079,plain,(
% 7.10/1.36 ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (big_f @ Y2 @ Y3)))))))))))))) = $false) | ~spl0_1),
% 7.10/1.36 inference(not_proxy_clausification,[],[f536])).
% 7.10/1.36 thf(f536,plain,(
% 7.10/1.36 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (big_f @ Y2 @ Y3)))))))))))))))) | ~spl0_1),
% 7.10/1.36 inference(avatar_component_clause,[],[f534])).
% 7.10/1.36 thf(f534,plain,(
% 7.10/1.36 spl0_1 <=> ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (big_f @ Y2 @ Y3))))))))))))))))),
% 7.10/1.36 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 7.10/1.36 thf(f5248,plain,(
% 7.10/1.36 ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | (big_f @ sK11 @ Y0))))) | (~spl0_1 | ~spl0_8)),
% 7.10/1.36 inference(boolean_simplification,[],[f5247])).
% 7.10/1.36 thf(f5247,plain,(
% 7.10/1.36 (($false | (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | (big_f @ sK11 @ Y0))))) = $true) | (~spl0_1 | ~spl0_8)),
% 7.10/1.36 inference(boolean_simplification,[],[f5246])).
% 7.10/1.36 thf(f5246,plain,(
% 7.10/1.36 ($true = ((~ $true) | (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | (big_f @ sK11 @ Y0)))))) | (~spl0_1 | ~spl0_8)),
% 7.10/1.36 inference(forward_demodulation,[],[f5213,f168])).
% 7.10/1.36 thf(f168,plain,(
% 7.10/1.36 ( ! [X1 : $i] : (((rel_s4 @ X1 @ X1) = $true)) )),
% 7.10/1.36 inference(beta_eta_normalization,[],[f167])).
% 7.10/1.36 thf(f167,plain,(
% 7.10/1.36 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (rel_s4 @ Y0 @ Y0)) @ X1))) )),
% 7.10/1.36 inference(pi_clausification,[],[f164])).
% 7.10/1.36 thf(f164,plain,(
% 7.10/1.36 ($true = (!! @ $i @ (^[Y0 : $i]: (rel_s4 @ Y0 @ Y0))))),
% 7.10/1.36 inference(beta_eta_normalization,[],[f159])).
% 7.10/1.36 thf(f159,plain,(
% 7.10/1.36 (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) @ rel_s4) = $true)),
% 7.10/1.36 inference(definition_unfolding,[],[f126,f147])).
% 7.10/1.36 thf(f147,plain,(
% 7.10/1.36 (mreflexive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
% 7.10/1.36 inference(cnf_transformation,[],[f48])).
% 7.10/1.36 thf(f48,plain,(
% 7.10/1.36 (mreflexive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
% 7.10/1.36 inference(fool_elimination,[],[f47])).
% 7.10/1.36 thf(f47,plain,(
% 7.10/1.36 ((^[X0 : $i > $i > $o] : (! [X1] : (X0 @ X1 @ X1))) = mreflexive)),
% 7.10/1.36 inference(rectify,[],[f18])).
% 7.10/1.36 thf(f18,axiom,(
% 7.10/1.36 ((^[X5 : $i > $i > $o] : (! [X8] : (X5 @ X8 @ X8))) = mreflexive)),
% 7.10/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mreflexive)).
% 7.10/1.36 thf(f126,plain,(
% 7.10/1.36 ((mreflexive @ rel_s4) = $true)),
% 7.10/1.36 inference(cnf_transformation,[],[f77])).
% 7.10/1.36 thf(f77,plain,(
% 7.10/1.36 ((mreflexive @ rel_s4) = $true)),
% 7.10/1.36 inference(fool_elimination,[],[f76])).
% 7.10/1.36 thf(f76,plain,(
% 7.10/1.36 (mreflexive @ rel_s4)),
% 7.10/1.36 inference(rectify,[],[f34])).
% 7.10/1.36 thf(f34,axiom,(
% 7.10/1.36 (mreflexive @ rel_s4)),
% 7.10/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1)).
% 7.10/1.36 thf(f5213,plain,(
% 7.10/1.36 ($true = ((~ (rel_s4 @ sK10 @ sK10)) | (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | (big_f @ sK11 @ Y0)))))) | (~spl0_1 | ~spl0_8)),
% 7.10/1.36 inference(boolean_simplification,[],[f5212])).
% 7.10/1.36 thf(f5212,plain,(
% 7.10/1.36 ($true = ((~ (rel_s4 @ sK10 @ sK10)) | ($false | (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | (big_f @ sK11 @ Y0))))))) | (~spl0_1 | ~spl0_8)),
% 7.10/1.36 inference(boolean_simplification,[],[f5190])).
% 7.10/1.36 thf(f5190,plain,(
% 7.10/1.36 ($true = ((~ (rel_s4 @ sK10 @ sK10)) | ((~ $true) | (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | (big_f @ sK11 @ Y0))))))) | (~spl0_1 | ~spl0_8)),
% 7.10/1.36 inference(superposition,[],[f5178,f2318])).
% 7.10/1.36 thf(f2318,plain,(
% 7.10/1.36 ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | (p @ Y0))))) | ~spl0_8),
% 7.10/1.36 inference(avatar_component_clause,[],[f2316])).
% 7.10/1.36 thf(f2316,plain,(
% 7.10/1.36 spl0_8 <=> ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | (p @ Y0)))))),
% 7.10/1.36 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
% 7.10/1.36 thf(f5178,plain,(
% 7.10/1.36 ( ! [X1 : $i] : ((((~ (rel_s4 @ sK10 @ X1)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ X1 @ Y0)) | (p @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ X1 @ Y0)) | (big_f @ sK11 @ Y0)))))) = $true)) ) | ~spl0_1),
% 7.10/1.36 inference(beta_eta_normalization,[],[f5176])).
% 7.10/1.36 thf(f5176,plain,(
% 7.10/1.36 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (big_f @ sK11 @ Y1))))))) @ X1))) ) | ~spl0_1),
% 7.10/1.36 inference(pi_clausification,[],[f5007])).
% 7.10/1.36 thf(f5007,plain,(
% 7.10/1.36 ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (big_f @ sK11 @ Y1)))))))) = $true) | ~spl0_1),
% 7.10/1.36 inference(boolean_simplification,[],[f5006])).
% 7.10/1.36 thf(f5006,plain,(
% 7.10/1.36 (($true => (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (big_f @ sK11 @ Y1))))))))) = $true) | ~spl0_1),
% 7.10/1.36 inference(forward_demodulation,[],[f5005,f1478])).
% 7.10/1.36 thf(f5005,plain,(
% 7.10/1.36 (((exists_in_world @ sK11 @ sK10) => (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (big_f @ sK11 @ Y1))))))))) = $true) | ~spl0_1),
% 7.10/1.36 inference(boolean_simplification,[],[f5004])).
% 7.10/1.36 thf(f5004,plain,(
% 7.10/1.36 (((exists_in_world @ sK11 @ sK10) => (~ (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (big_f @ sK11 @ Y1))))))))))) = $true) | ~spl0_1),
% 7.10/1.36 inference(boolean_simplification,[],[f5002])).
% 7.10/1.36 thf(f5002,plain,(
% 7.10/1.36 ($true = ((exists_in_world @ sK11 @ sK10) => (~ ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (big_f @ sK11 @ Y1))))))))) | $false)))) | ~spl0_1),
% 7.10/1.36 inference(superposition,[],[f4831,f4959])).
% 7.10/1.36 thf(f4959,plain,(
% 7.10/1.36 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (big_f @ sK11 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))))))) = $false) | ~spl0_1),
% 7.10/1.36 inference(binary_proxy_clausification,[],[f4932])).
% 7.10/1.36 thf(f4932,plain,(
% 7.10/1.36 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (big_f @ sK11 @ Y1))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (big_f @ sK11 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1)))))))))) = $false) | ~spl0_1),
% 7.10/1.36 inference(not_proxy_clausification,[],[f4897])).
% 7.10/1.36 thf(f4897,plain,(
% 7.10/1.36 ((~ ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (big_f @ sK11 @ Y1))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (big_f @ sK11 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))))))))) = $true) | ~spl0_1),
% 7.10/1.36 inference(boolean_simplification,[],[f4892])).
% 7.10/1.36 thf(f4892,plain,(
% 7.10/1.36 ($true = ($true => (~ ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (big_f @ sK11 @ Y1))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (big_f @ sK11 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))))))))))) | ~spl0_1),
% 7.10/1.36 inference(superposition,[],[f4831,f1478])).
% 7.10/1.36 thf(f4831,plain,(
% 7.10/1.36 ( ! [X1 : mu] : ((((exists_in_world @ X1 @ sK10) => (~ ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (big_f @ X1 @ Y1))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (big_f @ X1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1)))))))))))) = $true)) ) | ~spl0_1),
% 7.10/1.36 inference(beta_eta_normalization,[],[f4829])).
% 7.10/1.36 thf(f4829,plain,(
% 7.10/1.36 ( ! [X1 : mu] : (($true = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK10) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK10 @ Y1)) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (p @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (big_f @ Y0 @ Y2))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK10 @ Y1)) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (big_f @ Y0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (p @ Y2))))))))))))) @ X1))) ) | ~spl0_1),
% 7.10/1.36 inference(pi_clausification,[],[f2196])).
% 7.10/1.36 thf(f2196,plain,(
% 7.10/1.36 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK10) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK10 @ Y1)) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (p @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (big_f @ Y0 @ Y2))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK10 @ Y1)) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (big_f @ Y0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (p @ Y2)))))))))))))) = $true) | ~spl0_1),
% 7.10/1.36 inference(boolean_simplification,[],[f2195])).
% 7.10/1.36 thf(f2195,plain,(
% 7.10/1.36 (($false | (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK10) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK10 @ Y1)) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (p @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (big_f @ Y0 @ Y2))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK10 @ Y1)) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (big_f @ Y0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (p @ Y2))))))))))))))) = $true) | ~spl0_1),
% 7.10/1.36 inference(boolean_simplification,[],[f2165])).
% 7.10/1.36 thf(f2165,plain,(
% 7.10/1.36 ($true = ((~ $true) | (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK10) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK10 @ Y1)) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (p @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (big_f @ Y0 @ Y2))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK10 @ Y1)) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (big_f @ Y0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (p @ Y2)))))))))))))))) | ~spl0_1),
% 7.10/1.36 inference(superposition,[],[f302,f2146])).
% 7.10/1.36 thf(f2146,plain,(
% 7.10/1.36 ($true = (rel_s4 @ sK4 @ sK10)) | ~spl0_1),
% 7.10/1.36 inference(boolean_simplification,[],[f2140])).
% 7.10/1.36 thf(f2140,plain,(
% 7.10/1.36 (($true => (rel_s4 @ sK4 @ sK10)) = $true) | ~spl0_1),
% 7.10/1.36 inference(superposition,[],[f1210,f1434])).
% 7.10/1.36 thf(f1434,plain,(
% 7.10/1.36 ((rel_s4 @ sK9 @ sK10) = $true) | ~spl0_1),
% 7.10/1.36 inference(not_proxy_clausification,[],[f1424])).
% 7.10/1.36 thf(f1210,plain,(
% 7.10/1.36 ( ! [X0 : $i] : (($true = ((rel_s4 @ sK9 @ X0) => (rel_s4 @ sK4 @ X0)))) ) | ~spl0_1),
% 7.10/1.36 inference(boolean_simplification,[],[f1177])).
% 7.10/1.36 thf(f1177,plain,(
% 7.10/1.36 ( ! [X0 : $i] : (((((rel_s4 @ sK9 @ X0) & $true) => (rel_s4 @ sK4 @ X0)) = $true)) ) | ~spl0_1),
% 7.10/1.36 inference(superposition,[],[f202,f1100])).
% 7.10/1.36 thf(f1100,plain,(
% 7.10/1.36 ($true = (rel_s4 @ sK4 @ sK9)) | ~spl0_1),
% 7.10/1.36 inference(not_proxy_clausification,[],[f1094])).
% 7.10/1.36 thf(f202,plain,(
% 7.10/1.36 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((rel_s4 @ X1 @ X3) & (rel_s4 @ X2 @ X1)) => (rel_s4 @ X2 @ X3)))) )),
% 7.10/1.36 inference(beta_eta_normalization,[],[f201])).
% 7.10/1.36 thf(f201,plain,(
% 7.10/1.36 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (((rel_s4 @ X1 @ Y0) & (rel_s4 @ X2 @ X1)) => (rel_s4 @ X2 @ Y0))) @ X3))) )),
% 7.10/1.36 inference(pi_clausification,[],[f195])).
% 7.10/1.36 thf(f195,plain,(
% 7.10/1.36 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (((rel_s4 @ X1 @ Y0) & (rel_s4 @ X2 @ X1)) => (rel_s4 @ X2 @ Y0)))))) )),
% 7.10/1.36 inference(beta_eta_normalization,[],[f194])).
% 7.10/1.36 thf(f194,plain,(
% 7.10/1.36 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((rel_s4 @ X1 @ Y1) & (rel_s4 @ Y0 @ X1)) => (rel_s4 @ Y0 @ Y1))))) @ X2))) )),
% 7.10/1.36 inference(pi_clausification,[],[f193])).
% 7.10/1.36 thf(f193,plain,(
% 7.10/1.36 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((rel_s4 @ X1 @ Y1) & (rel_s4 @ Y0 @ X1)) => (rel_s4 @ Y0 @ Y1)))))) = $true)) )),
% 7.10/1.36 inference(beta_eta_normalization,[],[f192])).
% 7.10/1.36 thf(f192,plain,(
% 7.10/1.36 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((rel_s4 @ Y0 @ Y2) & (rel_s4 @ Y1 @ Y0)) => (rel_s4 @ Y1 @ Y2))))))) @ X1))) )),
% 7.10/1.36 inference(pi_clausification,[],[f163])).
% 7.10/1.36 thf(f163,plain,(
% 7.10/1.36 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((rel_s4 @ Y0 @ Y2) & (rel_s4 @ Y1 @ Y0)) => (rel_s4 @ Y1 @ Y2)))))))) = $true)),
% 7.10/1.36 inference(beta_eta_normalization,[],[f160])).
% 7.10/1.36 thf(f160,plain,(
% 7.10/1.36 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))) @ rel_s4))),
% 7.10/1.36 inference(definition_unfolding,[],[f130,f135])).
% 7.10/1.36 thf(f135,plain,(
% 7.10/1.36 (mtransitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))))),
% 7.10/1.36 inference(cnf_transformation,[],[f67])).
% 7.10/1.36 thf(f67,plain,(
% 7.10/1.36 (mtransitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))))),
% 7.10/1.36 inference(fool_elimination,[],[f66])).
% 7.10/1.36 thf(f66,plain,(
% 7.10/1.36 (mtransitive = (^[X0 : $i > $i > $o] : (! [X1,X2,X3] : (((X0 @ X2 @ X3) & (X0 @ X3 @ X1)) => (X0 @ X2 @ X1)))))),
% 7.10/1.36 inference(rectify,[],[f21])).
% 7.10/1.36 thf(f21,axiom,(
% 7.10/1.36 (mtransitive = (^[X5 : $i > $i > $o] : (! [X10,X8,X9] : (((X5 @ X8 @ X9) & (X5 @ X9 @ X10)) => (X5 @ X8 @ X10)))))),
% 7.10/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtransitive)).
% 7.10/1.36 thf(f130,plain,(
% 7.10/1.36 ((mtransitive @ rel_s4) = $true)),
% 7.10/1.36 inference(cnf_transformation,[],[f93])).
% 7.10/1.36 thf(f93,plain,(
% 7.10/1.36 ((mtransitive @ rel_s4) = $true)),
% 7.10/1.36 inference(fool_elimination,[],[f92])).
% 7.10/1.36 thf(f92,plain,(
% 7.10/1.36 (mtransitive @ rel_s4)),
% 7.10/1.36 inference(rectify,[],[f35])).
% 7.10/1.36 thf(f35,axiom,(
% 7.10/1.36 (mtransitive @ rel_s4)),
% 7.10/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2)).
% 7.10/1.36 thf(f302,plain,(
% 7.10/1.36 ( ! [X1 : $i] : ((((~ (rel_s4 @ sK4 @ X1)) | (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X1) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ X1 @ Y1)) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (p @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (big_f @ Y0 @ Y2))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ X1 @ Y1)) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (big_f @ Y0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (p @ Y2))))))))))))))) = $true)) )),
% 7.10/1.36 inference(beta_eta_normalization,[],[f301])).
% 7.10/1.36 thf(f301,plain,(
% 7.10/1.36 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (p @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (big_f @ Y1 @ Y3))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (big_f @ Y1 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (p @ Y3)))))))))))))))) @ X1))) )),
% 7.10/1.36 inference(pi_clausification,[],[f280])).
% 7.10/1.36 thf(f280,plain,(
% 7.10/1.36 ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (p @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (big_f @ Y1 @ Y3))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (big_f @ Y1 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (p @ Y3))))))))))))))))))),
% 7.10/1.36 inference(not_proxy_clausification,[],[f273])).
% 7.10/1.36 thf(f273,plain,(
% 7.10/1.36 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (p @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (big_f @ Y1 @ Y3))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (big_f @ Y1 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (p @ Y3)))))))))))))))))) = $false)),
% 7.10/1.36 inference(binary_proxy_clausification,[],[f219])).
% 7.10/1.36 thf(f219,plain,(
% 7.10/1.36 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (p @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (big_f @ Y1 @ Y3))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (big_f @ Y1 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (p @ Y3)))))))))))))))))) | (~ ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (big_f @ Y2 @ Y3))))))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (big_f @ Y2 @ Y3))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1)))))))))))) = $false)),
% 7.10/1.36 inference(binary_proxy_clausification,[],[f218])).
% 7.10/1.36 thf(f218,plain,(
% 7.10/1.36 ($false = ((~ (rel_s4 @ sK3 @ sK4)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (p @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (big_f @ Y1 @ Y3))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (big_f @ Y1 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (p @ Y3)))))))))))))))))) | (~ ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (big_f @ Y2 @ Y3))))))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (big_f @ Y2 @ Y3))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))))))))))))),
% 7.10/1.36 inference(beta_eta_normalization,[],[f217])).
% 7.10/1.36 thf(f217,plain,(
% 7.10/1.36 (((^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (p @ Y4))))) | (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (big_f @ Y2 @ Y4))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (big_f @ Y2 @ Y4))))) | (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (p @ Y4)))))))))))))))))) | (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (p @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | (big_f @ Y3 @ Y4))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | (big_f @ Y3 @ Y4))))))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (p @ Y2)))))))))))))) @ sK4) = $false)),
% 7.10/1.36 inference(sigma_clausification,[],[f216])).
% 7.10/1.36 thf(f216,plain,(
% 7.10/1.36 ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK3 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (p @ Y4))))) | (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (big_f @ Y2 @ Y4))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (big_f @ Y2 @ Y4))))) | (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (p @ Y4)))))))))))))))))) | (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (p @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | (big_f @ Y3 @ Y4))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | (big_f @ Y3 @ Y4))))))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (p @ Y2))))))))))))))) = $false)),
% 7.10/1.36 inference(beta_eta_normalization,[],[f214])).
% 7.10/1.36 thf(f214,plain,(
% 7.10/1.36 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (p @ Y5))))) | (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (big_f @ Y3 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (big_f @ Y3 @ Y5))))) | (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (p @ Y5)))))))))))))))))) | (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (p @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | (big_f @ Y4 @ Y5))))))))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | (big_f @ Y4 @ Y5))))))))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (p @ Y3)))))))))))))))) @ sK3) = $false)),
% 7.10/1.36 inference(sigma_clausification,[],[f212])).
% 7.10/1.36 thf(f212,plain,(
% 7.10/1.36 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (p @ Y5))))) | (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (big_f @ Y3 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (big_f @ Y3 @ Y5))))) | (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (p @ Y5)))))))))))))))))) | (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (p @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | (big_f @ Y4 @ Y5))))))))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | (big_f @ Y4 @ Y5))))))))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (p @ Y3))))))))))))))))) = $false)),
% 7.10/1.36 inference(not_proxy_clausification,[],[f162])).
% 7.10/1.36 thf(f162,plain,(
% 7.10/1.36 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (p @ Y5))))) | (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (big_f @ Y3 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (big_f @ Y3 @ Y5))))) | (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (p @ Y5)))))))))))))))))) | (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (p @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | (big_f @ Y4 @ Y5))))))))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | (big_f @ Y4 @ Y5))))))))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (p @ Y3)))))))))))))))))) = $true)),
% 7.10/1.36 inference(beta_eta_normalization,[],[f161])).
% 7.10/1.36 thf(f161,plain,(
% 7.10/1.36 ((~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) | (Y4 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y2)))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (Y1 @ Y3))))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) | (Y4 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (Y1 @ Y3))))))) @ p) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (Y1 @ Y3))))))) @ (big_f @ Y0)))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (Y1 @ Y3))))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) | (Y4 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (Y1 @ Y3))))))) @ (big_f @ Y0)) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (Y1 @ Y3))))))) @ p))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ p) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (Y1 @ Y3))))))) @ (big_f @ Y0))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (Y1 @ Y3))))))) @ (big_f @ Y0))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ p)))))))) = $true)),
% 7.10/1.36 inference(definition_unfolding,[],[f140,f129,f148,f151,f148,f116,f150,f148,f151,f148,f148,f148,f151,f148,f148,f150,f148,f151,f148,f148,f116,f148,f148,f151,f148,f116,f148,f148])).
% 7.10/1.36 thf(f150,plain,(
% 7.10/1.36 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))),
% 7.10/1.36 inference(definition_unfolding,[],[f133,f122,f141,f122,f122])).
% 7.10/1.36 thf(f141,plain,(
% 7.10/1.36 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 7.10/1.36 inference(cnf_transformation,[],[f105])).
% 7.10/1.36 thf(f105,plain,(
% 7.10/1.36 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 7.10/1.36 inference(fool_elimination,[],[f104])).
% 7.10/1.36 thf(f104,plain,(
% 7.10/1.36 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
% 7.10/1.36 inference(rectify,[],[f3])).
% 7.10/1.36 thf(f3,axiom,(
% 7.10/1.36 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))))),
% 7.10/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 7.10/1.36 thf(f122,plain,(
% 7.10/1.36 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 7.10/1.36 inference(cnf_transformation,[],[f89])).
% 7.10/1.36 thf(f89,plain,(
% 7.10/1.36 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 7.10/1.36 inference(fool_elimination,[],[f88])).
% 7.10/1.36 thf(f88,plain,(
% 7.10/1.36 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 7.10/1.36 inference(rectify,[],[f2])).
% 7.10/1.36 thf(f2,axiom,(
% 7.10/1.36 (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))),
% 7.10/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 7.10/1.36 thf(f133,plain,(
% 7.10/1.36 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 7.10/1.36 inference(cnf_transformation,[],[f73])).
% 7.10/1.36 thf(f73,plain,(
% 7.10/1.36 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 7.10/1.36 inference(fool_elimination,[],[f72])).
% 7.10/1.36 thf(f72,plain,(
% 7.10/1.36 ((^[X0 : $i > $o, X1 : $i > $o] : (mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)))) = mand)),
% 7.10/1.36 inference(rectify,[],[f8])).
% 7.10/1.36 thf(f8,axiom,(
% 7.10/1.36 ((^[X3 : $i > $o, X4 : $i > $o] : (mnot @ (mor @ (mnot @ X3) @ (mnot @ X4)))) = mand)),
% 7.10/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand)).
% 7.10/1.36 thf(f116,plain,(
% 7.10/1.36 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 7.10/1.36 inference(cnf_transformation,[],[f44])).
% 7.10/1.36 thf(f44,plain,(
% 7.10/1.36 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 7.10/1.36 inference(fool_elimination,[],[f43])).
% 7.10/1.36 thf(f43,plain,(
% 7.10/1.36 ((^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : ((exists_in_world @ X2 @ X1) => (X0 @ X2 @ X1)))) = mforall_ind)),
% 7.10/1.36 inference(rectify,[],[f15])).
% 7.10/1.36 thf(f15,axiom,(
% 7.10/1.36 ((^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : ((exists_in_world @ X0 @ X2) => (X3 @ X0 @ X2)))) = mforall_ind)),
% 7.10/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_ind)).
% 7.10/1.36 thf(f151,plain,(
% 7.10/1.36 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 7.10/1.36 inference(definition_unfolding,[],[f119,f141,f122])).
% 7.10/1.36 thf(f119,plain,(
% 7.10/1.36 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 7.10/1.36 inference(cnf_transformation,[],[f56])).
% 7.10/1.36 thf(f56,plain,(
% 7.10/1.36 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 7.10/1.36 inference(fool_elimination,[],[f55])).
% 7.10/1.36 thf(f55,plain,(
% 7.10/1.36 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
% 7.10/1.36 inference(rectify,[],[f9])).
% 7.10/1.36 thf(f9,axiom,(
% 7.10/1.36 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
% 7.10/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)).
% 7.10/1.36 thf(f148,plain,(
% 7.10/1.36 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))))),
% 7.10/1.36 inference(cnf_transformation,[],[f109])).
% 7.10/1.36 thf(f109,plain,(
% 7.10/1.36 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))))),
% 7.10/1.36 inference(fool_elimination,[],[f108])).
% 7.10/1.36 thf(f108,plain,(
% 7.10/1.36 ((^[X0 : $i > $o, X1 : $i] : (! [X2] : ((X0 @ X2) | ~(rel_s4 @ X1 @ X2)))) = mbox_s4)),
% 7.10/1.36 inference(rectify,[],[f32])).
% 7.10/1.36 thf(f32,axiom,(
% 7.10/1.36 ((^[X3 : $i > $o, X2 : $i] : (! [X6] : ((X3 @ X6) | ~(rel_s4 @ X2 @ X6)))) = mbox_s4)),
% 7.10/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_s4)).
% 7.10/1.36 thf(f129,plain,(
% 7.10/1.36 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 7.10/1.36 inference(cnf_transformation,[],[f69])).
% 7.10/1.36 thf(f69,plain,(
% 7.10/1.36 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 7.10/1.36 inference(fool_elimination,[],[f68])).
% 7.10/1.36 thf(f68,plain,(
% 7.10/1.36 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 7.10/1.36 inference(rectify,[],[f28])).
% 7.10/1.36 thf(f28,axiom,(
% 7.10/1.36 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 7.10/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 7.10/1.36 thf(f140,plain,(
% 7.10/1.36 ($true = (~ (mvalid @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ p) @ (mbox_s4 @ (big_f @ Y0)))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (big_f @ Y0)) @ (mbox_s4 @ p))))))) @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ p) @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_f @ Y0))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_f @ Y0))))) @ (mbox_s4 @ p)))))))))),
% 7.10/1.36 inference(cnf_transformation,[],[f54])).
% 7.10/1.36 thf(f54,plain,(
% 7.10/1.36 ($true = (~ (mvalid @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ p) @ (mbox_s4 @ (big_f @ Y0)))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (big_f @ Y0)) @ (mbox_s4 @ p))))))) @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ p) @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_f @ Y0))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_f @ Y0))))) @ (mbox_s4 @ p)))))))))),
% 7.10/1.36 inference(fool_elimination,[],[f53])).
% 7.10/1.36 thf(f53,plain,(
% 7.10/1.36 ~(mvalid @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X0 : mu] : (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ p) @ (mbox_s4 @ (big_f @ X0)))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (big_f @ X0)) @ (mbox_s4 @ p))))))) @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ p) @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : (mbox_s4 @ (big_f @ X1))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X2 : mu] : (mbox_s4 @ (big_f @ X2))))) @ (mbox_s4 @ p)))))))),
% 7.10/1.36 inference(rectify,[],[f38])).
% 7.10/1.36 thf(f38,negated_conjecture,(
% 7.10/1.36 ~(mvalid @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X0 : mu] : (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ p) @ (mbox_s4 @ (big_f @ X0)))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (big_f @ X0)) @ (mbox_s4 @ p))))))) @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ p) @ (mbox_s4 @ (mforall_ind @ (^[X11 : mu] : (mbox_s4 @ (big_f @ X11))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X11 : mu] : (mbox_s4 @ (big_f @ X11))))) @ (mbox_s4 @ p)))))))),
% 7.10/1.36 inference(negated_conjecture,[],[f37])).
% 7.10/1.36 thf(f37,conjecture,(
% 7.10/1.36 (mvalid @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X0 : mu] : (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ p) @ (mbox_s4 @ (big_f @ X0)))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (big_f @ X0)) @ (mbox_s4 @ p))))))) @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ p) @ (mbox_s4 @ (mforall_ind @ (^[X11 : mu] : (mbox_s4 @ (big_f @ X11))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X11 : mu] : (mbox_s4 @ (big_f @ X11))))) @ (mbox_s4 @ p)))))))),
% 7.10/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel22)).
% 7.10/1.36 thf(f2973,plain,(
% 7.10/1.36 ~spl0_1 | ~spl0_5 | spl0_8),
% 7.10/1.36 inference(avatar_contradiction_clause,[],[f2972])).
% 7.10/1.36 thf(f2972,plain,(
% 7.10/1.36 $false | (~spl0_1 | ~spl0_5 | spl0_8)),
% 7.10/1.36 inference(trivial_inequality_removal,[],[f2971])).
% 7.10/1.36 thf(f2971,plain,(
% 7.10/1.36 ($true = $false) | (~spl0_1 | ~spl0_5 | spl0_8)),
% 7.10/1.36 inference(forward_demodulation,[],[f2957,f2941])).
% 7.10/1.36 thf(f2941,plain,(
% 7.10/1.36 ((p @ sK13) = $false) | spl0_8),
% 7.10/1.36 inference(binary_proxy_clausification,[],[f2342])).
% 7.10/1.36 thf(f2342,plain,(
% 7.10/1.36 (((~ (rel_s4 @ sK10 @ sK13)) | (p @ sK13)) = $false) | spl0_8),
% 7.10/1.36 inference(beta_eta_normalization,[],[f2341])).
% 7.10/1.36 thf(f2341,plain,(
% 7.10/1.36 (((^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | (p @ Y0))) @ sK13) = $false) | spl0_8),
% 7.10/1.36 inference(sigma_clausification,[],[f2317])).
% 7.10/1.36 thf(f2317,plain,(
% 7.10/1.36 ($true != (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | (p @ Y0))))) | spl0_8),
% 7.10/1.36 inference(avatar_component_clause,[],[f2316])).
% 7.10/1.36 thf(f2957,plain,(
% 7.10/1.36 ($true = (p @ sK13)) | (~spl0_1 | ~spl0_5 | spl0_8)),
% 7.10/1.36 inference(trivial_inequality_removal,[],[f2956])).
% 7.10/1.36 thf(f2956,plain,(
% 7.10/1.36 ($true = $false) | ($true = (p @ sK13)) | (~spl0_1 | ~spl0_5 | spl0_8)),
% 7.10/1.36 inference(boolean_simplification,[],[f2947])).
% 7.10/1.36 thf(f2947,plain,(
% 7.10/1.36 (($true | (p @ sK13)) = $false) | ($true = (p @ sK13)) | (~spl0_1 | ~spl0_5 | spl0_8)),
% 7.10/1.36 inference(superposition,[],[f2342,f2736])).
% 7.10/1.36 thf(f2736,plain,(
% 7.10/1.36 ( ! [X0 : $i] : (((~ (rel_s4 @ sK10 @ X0)) = $true) | ((p @ X0) = $true)) ) | (~spl0_1 | ~spl0_5)),
% 7.10/1.36 inference(boolean_simplification,[],[f2715])).
% 7.10/1.36 thf(f2715,plain,(
% 7.10/1.36 ( ! [X0 : $i] : (($true = ((rel_s4 @ sK10 @ X0) => $false)) | ((p @ X0) = $true)) ) | (~spl0_1 | ~spl0_5)),
% 7.10/1.36 inference(superposition,[],[f1457,f1608])).
% 7.10/1.36 thf(f1608,plain,(
% 7.10/1.36 ( ! [X1 : $i] : (((rel_s4 @ sK9 @ X1) = $false) | ((p @ X1) = $true)) ) | ~spl0_5),
% 7.10/1.36 inference(not_proxy_clausification,[],[f1499])).
% 7.10/1.36 thf(f1499,plain,(
% 7.10/1.36 ( ! [X1 : $i] : (($true = (~ (rel_s4 @ sK9 @ X1))) | ((p @ X1) = $true)) ) | ~spl0_5),
% 7.10/1.36 inference(binary_proxy_clausification,[],[f1283])).
% 7.10/1.36 thf(f1283,plain,(
% 7.10/1.36 ( ! [X1 : $i] : ((((~ (rel_s4 @ sK9 @ X1)) | (p @ X1)) = $true)) ) | ~spl0_5),
% 7.10/1.36 inference(beta_eta_normalization,[],[f1278])).
% 7.10/1.36 thf(f1278,plain,(
% 7.10/1.36 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (rel_s4 @ sK9 @ Y0)) | (p @ Y0))) @ X1))) ) | ~spl0_5),
% 7.10/1.36 inference(pi_clausification,[],[f1231])).
% 7.10/1.36 thf(f1231,plain,(
% 7.10/1.36 ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK9 @ Y0)) | (p @ Y0)))) = $true) | ~spl0_5),
% 7.10/1.36 inference(avatar_component_clause,[],[f1229])).
% 7.10/1.36 thf(f1229,plain,(
% 7.10/1.36 spl0_5 <=> ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK9 @ Y0)) | (p @ Y0)))) = $true)),
% 7.10/1.36 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 7.10/1.36 thf(f1457,plain,(
% 7.10/1.36 ( ! [X0 : $i] : (($true = ((rel_s4 @ sK10 @ X0) => (rel_s4 @ sK9 @ X0)))) ) | ~spl0_1),
% 7.10/1.36 inference(boolean_simplification,[],[f1447])).
% 7.10/1.36 thf(f1447,plain,(
% 7.10/1.36 ( ! [X0 : $i] : (((((rel_s4 @ sK10 @ X0) & $true) => (rel_s4 @ sK9 @ X0)) = $true)) ) | ~spl0_1),
% 7.10/1.36 inference(superposition,[],[f202,f1434])).
% 7.10/1.36 thf(f1262,plain,(
% 7.10/1.36 spl0_5 | ~spl0_1),
% 7.10/1.36 inference(avatar_split_clause,[],[f1215,f534,f1229])).
% 7.10/1.36 thf(f1215,plain,(
% 7.10/1.36 ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK9 @ Y0)) | (p @ Y0)))) = $true) | ~spl0_1),
% 7.10/1.36 inference(not_proxy_clausification,[],[f1159])).
% 7.10/1.36 thf(f1071,plain,(
% 7.10/1.36 ~spl0_2),
% 7.10/1.36 inference(avatar_contradiction_clause,[],[f1070])).
% 7.10/1.36 thf(f1070,plain,(
% 7.10/1.36 $false | ~spl0_2),
% 7.10/1.36 inference(trivial_inequality_removal,[],[f1069])).
% 7.10/1.36 thf(f1069,plain,(
% 7.10/1.36 ($true = $false) | ~spl0_2),
% 7.10/1.36 inference(boolean_simplification,[],[f1068])).
% 7.10/1.36 thf(f1068,plain,(
% 7.10/1.36 ($true = (~ $true)) | ~spl0_2),
% 7.10/1.36 inference(forward_demodulation,[],[f1051,f699])).
% 7.10/1.36 thf(f699,plain,(
% 7.10/1.36 ($true = (exists_in_world @ (sK2 @ sK4) @ sK5)) | ~spl0_2),
% 7.10/1.36 inference(boolean_simplification,[],[f687])).
% 7.10/1.36 thf(f687,plain,(
% 7.10/1.36 ($true = ($true => (exists_in_world @ (sK2 @ sK4) @ sK5))) | ~spl0_2),
% 7.10/1.36 inference(superposition,[],[f184,f619])).
% 7.10/1.36 thf(f619,plain,(
% 7.10/1.36 ((rel_s4 @ sK4 @ sK5) = $true) | ~spl0_2),
% 7.10/1.36 inference(not_proxy_clausification,[],[f602])).
% 7.10/1.36 thf(f602,plain,(
% 7.10/1.36 ((~ (rel_s4 @ sK4 @ sK5)) = $false) | ~spl0_2),
% 7.10/1.36 inference(binary_proxy_clausification,[],[f599])).
% 7.10/1.36 thf(f599,plain,(
% 7.10/1.36 (((~ (rel_s4 @ sK4 @ sK5)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK5 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (big_f @ Y1 @ Y2))))))))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK5 @ Y0)) | (p @ Y0)))))) = $false) | ~spl0_2),
% 7.10/1.36 inference(beta_eta_normalization,[],[f598])).
% 7.10/1.36 thf(f598,plain,(
% 7.10/1.36 (((^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (big_f @ Y2 @ Y3))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))))) @ sK5) = $false) | ~spl0_2),
% 7.10/1.36 inference(sigma_clausification,[],[f596])).
% 7.10/1.36 thf(f596,plain,(
% 7.10/1.36 ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (big_f @ Y2 @ Y3))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1)))))))) = $false) | ~spl0_2),
% 7.10/1.36 inference(not_proxy_clausification,[],[f540])).
% 7.10/1.36 thf(f540,plain,(
% 7.10/1.36 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (big_f @ Y2 @ Y3))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1)))))))))) | ~spl0_2),
% 7.10/1.36 inference(avatar_component_clause,[],[f538])).
% 7.10/1.36 thf(f538,plain,(
% 7.10/1.36 spl0_2 <=> ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (big_f @ Y2 @ Y3))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))))))))),
% 7.10/1.36 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 7.10/1.36 thf(f184,plain,(
% 7.10/1.36 ( ! [X0 : $i,X1 : $i] : ((((rel_s4 @ X0 @ X1) => (exists_in_world @ (sK2 @ X0) @ X1)) = $true)) )),
% 7.10/1.36 inference(boolean_simplification,[],[f179])).
% 7.10/1.36 thf(f179,plain,(
% 7.10/1.36 ( ! [X0 : $i,X1 : $i] : (((((rel_s4 @ X0 @ X1) & $true) => (exists_in_world @ (sK2 @ X0) @ X1)) = $true)) )),
% 7.10/1.36 inference(superposition,[],[f172,f176])).
% 7.10/1.36 thf(f176,plain,(
% 7.10/1.36 ( ! [X1 : $i] : (((exists_in_world @ (sK2 @ X1) @ X1) = $true)) )),
% 7.10/1.36 inference(beta_eta_normalization,[],[f175])).
% 7.10/1.36 thf(f175,plain,(
% 7.10/1.36 ( ! [X1 : $i] : (($true = ((^[Y0 : mu]: (exists_in_world @ Y0 @ X1)) @ (sK2 @ X1)))) )),
% 7.10/1.36 inference(sigma_clausification,[],[f174])).
% 7.10/1.36 thf(f174,plain,(
% 7.10/1.36 ( ! [X1 : $i] : (((?? @ mu @ (^[Y0 : mu]: (exists_in_world @ Y0 @ X1))) = $true)) )),
% 7.10/1.36 inference(beta_eta_normalization,[],[f173])).
% 7.10/1.36 thf(f173,plain,(
% 7.10/1.36 ( ! [X1 : $i] : ((((^[Y0 : $i]: (?? @ mu @ (^[Y1 : mu]: (exists_in_world @ Y1 @ Y0)))) @ X1) = $true)) )),
% 7.10/1.36 inference(pi_clausification,[],[f123])).
% 7.10/1.36 thf(f123,plain,(
% 7.10/1.36 ($true = (!! @ $i @ (^[Y0 : $i]: (?? @ mu @ (^[Y1 : mu]: (exists_in_world @ Y1 @ Y0))))))),
% 7.10/1.36 inference(cnf_transformation,[],[f107])).
% 7.10/1.36 thf(f107,plain,(
% 7.10/1.36 ($true = (!! @ $i @ (^[Y0 : $i]: (?? @ mu @ (^[Y1 : mu]: (exists_in_world @ Y1 @ Y0))))))),
% 7.10/1.36 inference(fool_elimination,[],[f106])).
% 7.10/1.36 thf(f106,plain,(
% 7.10/1.36 ! [X0] : ? [X1 : mu] : (exists_in_world @ X1 @ X0)),
% 7.10/1.36 inference(rectify,[],[f14])).
% 7.10/1.36 thf(f14,axiom,(
% 7.10/1.36 ! [X6] : ? [X0 : mu] : (exists_in_world @ X0 @ X6)),
% 7.10/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonempty_ax)).
% 7.10/1.36 thf(f172,plain,(
% 7.10/1.36 ( ! [X2 : mu,X3 : $i,X1 : $i] : (((((rel_s4 @ X1 @ X3) & (exists_in_world @ X2 @ X1)) => (exists_in_world @ X2 @ X3)) = $true)) )),
% 7.10/1.36 inference(beta_eta_normalization,[],[f171])).
% 7.10/1.36 thf(f171,plain,(
% 7.10/1.36 ( ! [X2 : mu,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (((rel_s4 @ X1 @ Y0) & (exists_in_world @ X2 @ X1)) => (exists_in_world @ X2 @ Y0))) @ X3))) )),
% 7.10/1.36 inference(pi_clausification,[],[f170])).
% 7.10/1.36 thf(f170,plain,(
% 7.10/1.36 ( ! [X2 : mu,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (((rel_s4 @ X1 @ Y0) & (exists_in_world @ X2 @ X1)) => (exists_in_world @ X2 @ Y0)))))) )),
% 7.10/1.36 inference(beta_eta_normalization,[],[f169])).
% 7.10/1.36 thf(f169,plain,(
% 7.10/1.36 ( ! [X2 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: (!! @ $i @ (^[Y1 : $i]: (((rel_s4 @ X1 @ Y1) & (exists_in_world @ Y0 @ X1)) => (exists_in_world @ Y0 @ Y1))))) @ X2))) )),
% 7.10/1.36 inference(pi_clausification,[],[f166])).
% 7.10/1.36 thf(f166,plain,(
% 7.10/1.36 ( ! [X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: (!! @ $i @ (^[Y1 : $i]: (((rel_s4 @ X1 @ Y1) & (exists_in_world @ Y0 @ X1)) => (exists_in_world @ Y0 @ Y1)))))))) )),
% 7.10/1.36 inference(beta_eta_normalization,[],[f165])).
% 7.10/1.36 thf(f165,plain,(
% 7.10/1.36 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ $i @ (^[Y2 : $i]: (((rel_s4 @ Y0 @ Y2) & (exists_in_world @ Y1 @ Y0)) => (exists_in_world @ Y1 @ Y2))))))) @ X1))) )),
% 7.10/1.36 inference(pi_clausification,[],[f146])).
% 7.10/1.36 thf(f146,plain,(
% 7.10/1.36 ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ $i @ (^[Y2 : $i]: (((rel_s4 @ Y0 @ Y2) & (exists_in_world @ Y1 @ Y0)) => (exists_in_world @ Y1 @ Y2)))))))) = $true)),
% 7.10/1.36 inference(cnf_transformation,[],[f81])).
% 7.10/1.36 thf(f81,plain,(
% 7.10/1.36 ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ $i @ (^[Y2 : $i]: (((rel_s4 @ Y0 @ Y2) & (exists_in_world @ Y1 @ Y0)) => (exists_in_world @ Y1 @ Y2)))))))) = $true)),
% 7.10/1.36 inference(fool_elimination,[],[f80])).
% 7.10/1.36 thf(f80,plain,(
% 7.10/1.36 ! [X0,X1 : mu,X2] : (((exists_in_world @ X1 @ X2) & (rel_s4 @ X2 @ X0)) => (exists_in_world @ X1 @ X0))),
% 7.10/1.36 inference(rectify,[],[f36])).
% 7.10/1.36 thf(f36,axiom,(
% 7.10/1.36 ! [X2,X0 : mu,X6] : (((exists_in_world @ X0 @ X6) & (rel_s4 @ X6 @ X2)) => (exists_in_world @ X0 @ X2))),
% 7.10/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cumulative_ax)).
% 7.10/1.36 thf(f1051,plain,(
% 7.10/1.36 ($true = (~ (exists_in_world @ (sK2 @ sK4) @ sK5))) | ~spl0_2),
% 7.10/1.36 inference(boolean_simplification,[],[f1044])).
% 7.10/1.36 thf(f1044,plain,(
% 7.10/1.36 (((exists_in_world @ (sK2 @ sK4) @ sK5) => $false) = $true) | ~spl0_2),
% 7.10/1.36 inference(superposition,[],[f992,f823])).
% 7.10/1.36 thf(f823,plain,(
% 7.10/1.36 ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK5 @ Y0)) | (big_f @ (sK2 @ sK4) @ Y0)))) = $false) | ~spl0_2),
% 7.10/1.36 inference(not_proxy_clausification,[],[f805])).
% 7.10/1.36 thf(f805,plain,(
% 7.10/1.36 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK5 @ Y0)) | (big_f @ (sK2 @ sK4) @ Y0))))) = $true) | ~spl0_2),
% 7.10/1.36 inference(boolean_simplification,[],[f804])).
% 7.10/1.36 thf(f804,plain,(
% 7.10/1.36 ($true = ($false | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK5 @ Y0)) | (big_f @ (sK2 @ sK4) @ Y0))))))) | ~spl0_2),
% 7.10/1.36 inference(boolean_simplification,[],[f803])).
% 7.10/1.36 thf(f803,plain,(
% 7.10/1.36 ($true = ((~ $true) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK5 @ Y0)) | (big_f @ (sK2 @ sK4) @ Y0))))))) | ~spl0_2),
% 7.10/1.36 inference(forward_demodulation,[],[f793,f619])).
% 7.10/1.36 thf(f793,plain,(
% 7.10/1.36 ($true = ((~ (rel_s4 @ sK4 @ sK5)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK5 @ Y0)) | (big_f @ (sK2 @ sK4) @ Y0))))))) | ~spl0_2),
% 7.10/1.36 inference(boolean_simplification,[],[f787])).
% 7.10/1.36 thf(f787,plain,(
% 7.10/1.36 ($true = ((~ (rel_s4 @ sK4 @ sK5)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK5 @ Y0)) | (big_f @ (sK2 @ sK4) @ Y0))))) | $false))) | ~spl0_2),
% 7.10/1.36 inference(superposition,[],[f522,f781])).
% 7.10/1.36 thf(f781,plain,(
% 7.10/1.36 ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK5 @ Y0)) | (p @ Y0)))) = $false) | ~spl0_2),
% 7.10/1.36 inference(binary_proxy_clausification,[],[f629])).
% 7.10/1.36 thf(f629,plain,(
% 7.10/1.36 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK5 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (big_f @ Y1 @ Y2))))))))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK5 @ Y0)) | (p @ Y0))))) = $false) | ~spl0_2),
% 7.10/1.36 inference(boolean_simplification,[],[f618])).
% 7.10/1.36 thf(f618,plain,(
% 7.10/1.36 (($false | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK5 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (big_f @ Y1 @ Y2))))))))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK5 @ Y0)) | (p @ Y0)))))) = $false) | ~spl0_2),
% 7.10/1.36 inference(backward_demodulation,[],[f599,f602])).
% 7.10/1.36 thf(f522,plain,(
% 7.10/1.36 ( ! [X1 : $i] : ((((~ (rel_s4 @ sK4 @ X1)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ X1 @ Y0)) | (big_f @ (sK2 @ sK4) @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ X1 @ Y0)) | (p @ Y0)))))) = $true)) )),
% 7.10/1.36 inference(beta_eta_normalization,[],[f518])).
% 7.10/1.36 thf(f518,plain,(
% 7.10/1.36 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (big_f @ (sK2 @ sK4) @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))))) @ X1) = $true)) )),
% 7.10/1.36 inference(pi_clausification,[],[f505])).
% 7.10/1.36 thf(f505,plain,(
% 7.10/1.36 ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (big_f @ (sK2 @ sK4) @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1)))))))))),
% 7.10/1.36 inference(not_proxy_clausification,[],[f496])).
% 7.10/1.36 thf(f496,plain,(
% 7.10/1.36 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (big_f @ (sK2 @ sK4) @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))))))) = $false)),
% 7.10/1.36 inference(binary_proxy_clausification,[],[f492])).
% 7.10/1.36 thf(f492,plain,(
% 7.10/1.36 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (big_f @ (sK2 @ sK4) @ Y1))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (big_f @ (sK2 @ sK4) @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1)))))))))) = $false)),
% 7.10/1.36 inference(not_proxy_clausification,[],[f379])).
% 7.10/1.36 thf(f379,plain,(
% 7.10/1.36 ((~ ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (big_f @ (sK2 @ sK4) @ Y1))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (big_f @ (sK2 @ sK4) @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))))))))) = $true)),
% 7.10/1.36 inference(boolean_simplification,[],[f373])).
% 7.10/1.36 thf(f373,plain,(
% 7.10/1.36 (($true => (~ ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (big_f @ (sK2 @ sK4) @ Y1))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (big_f @ (sK2 @ sK4) @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1)))))))))))) = $true)),
% 7.10/1.36 inference(superposition,[],[f352,f176])).
% 7.10/1.36 thf(f352,plain,(
% 7.10/1.36 ( ! [X1 : mu] : (($true = ((exists_in_world @ X1 @ sK4) => (~ ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (big_f @ X1 @ Y1))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (big_f @ X1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1)))))))))))))) )),
% 7.10/1.36 inference(beta_eta_normalization,[],[f349])).
% 7.10/1.36 thf(f349,plain,(
% 7.10/1.36 ( ! [X1 : mu] : ((((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK4 @ Y1)) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (p @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (big_f @ Y0 @ Y2))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK4 @ Y1)) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (big_f @ Y0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (p @ Y2))))))))))))) @ X1) = $true)) )),
% 7.10/1.36 inference(pi_clausification,[],[f323])).
% 7.10/1.36 thf(f323,plain,(
% 7.10/1.36 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK4 @ Y1)) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (p @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (big_f @ Y0 @ Y2))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK4 @ Y1)) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (big_f @ Y0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (p @ Y2)))))))))))))) = $true)),
% 7.10/1.36 inference(boolean_simplification,[],[f322])).
% 7.10/1.36 thf(f322,plain,(
% 7.10/1.36 ($true = ($false | (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK4 @ Y1)) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (p @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (big_f @ Y0 @ Y2))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK4 @ Y1)) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (big_f @ Y0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (p @ Y2))))))))))))))))),
% 7.10/1.36 inference(boolean_simplification,[],[f320])).
% 7.10/1.36 thf(f320,plain,(
% 7.10/1.36 (((~ $true) | (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK4 @ Y1)) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (p @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (big_f @ Y0 @ Y2))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK4 @ Y1)) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (big_f @ Y0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (p @ Y2))))))))))))))) = $true)),
% 7.10/1.36 inference(superposition,[],[f302,f168])).
% 7.10/1.36 thf(f992,plain,(
% 7.10/1.36 ( ! [X1 : mu] : (($true = ((exists_in_world @ X1 @ sK5) => (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK5 @ Y0)) | (big_f @ X1 @ Y0))))))) ) | ~spl0_2),
% 7.10/1.36 inference(beta_eta_normalization,[],[f989])).
% 7.10/1.36 thf(f989,plain,(
% 7.10/1.36 ( ! [X1 : mu] : (($true = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK5) => (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK5 @ Y1)) | (big_f @ Y0 @ Y1)))))) @ X1))) ) | ~spl0_2),
% 7.10/1.36 inference(pi_clausification,[],[f971])).
% 7.10/1.36 thf(f971,plain,(
% 7.10/1.36 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK5) => (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK5 @ Y1)) | (big_f @ Y0 @ Y1))))))) = $true) | ~spl0_2),
% 7.10/1.36 inference(boolean_simplification,[],[f970])).
% 7.10/1.36 thf(f970,plain,(
% 7.10/1.36 (($false | (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK5) => (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK5 @ Y1)) | (big_f @ Y0 @ Y1)))))))) = $true) | ~spl0_2),
% 7.10/1.36 inference(boolean_simplification,[],[f965])).
% 7.10/1.36 thf(f965,plain,(
% 7.10/1.36 ($true = ((~ $true) | (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK5) => (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK5 @ Y1)) | (big_f @ Y0 @ Y1))))))))) | ~spl0_2),
% 7.10/1.36 inference(superposition,[],[f943,f168])).
% 7.10/1.36 thf(f943,plain,(
% 7.10/1.36 ( ! [X1 : $i] : (($true = ((~ (rel_s4 @ sK5 @ X1)) | (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ X1 @ Y1)) | (big_f @ Y0 @ Y1)))))))))) ) | ~spl0_2),
% 7.10/1.36 inference(beta_eta_normalization,[],[f941])).
% 7.10/1.36 thf(f941,plain,(
% 7.10/1.36 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ (rel_s4 @ sK5 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (big_f @ Y1 @ Y2))))))))) @ X1) = $true)) ) | ~spl0_2),
% 7.10/1.36 inference(pi_clausification,[],[f845])).
% 7.10/1.36 thf(f845,plain,(
% 7.10/1.36 ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK5 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (big_f @ Y1 @ Y2)))))))))) = $true) | ~spl0_2),
% 7.10/1.36 inference(not_proxy_clausification,[],[f792])).
% 7.10/1.36 thf(f792,plain,(
% 7.10/1.36 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK5 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (big_f @ Y1 @ Y2))))))))))) = $false) | ~spl0_2),
% 7.10/1.36 inference(boolean_simplification,[],[f783])).
% 7.10/1.36 thf(f783,plain,(
% 7.10/1.36 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK5 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (big_f @ Y1 @ Y2))))))))))) | $false) = $false) | ~spl0_2),
% 7.10/1.36 inference(backward_demodulation,[],[f629,f781])).
% 7.10/1.36 thf(f541,plain,(
% 7.10/1.36 spl0_1 | spl0_2),
% 7.10/1.36 inference(avatar_split_clause,[],[f411,f538,f534])).
% 7.10/1.36 thf(f411,plain,(
% 7.10/1.36 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (big_f @ Y2 @ Y3))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1)))))))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (big_f @ Y2 @ Y3))))))))))))))))),
% 7.10/1.36 inference(binary_proxy_clausification,[],[f306])).
% 7.10/1.36 thf(f306,plain,(
% 7.10/1.36 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (big_f @ Y2 @ Y3))))))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (big_f @ Y2 @ Y3))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1)))))))))) = $true)),
% 7.10/1.36 inference(not_proxy_clausification,[],[f281])).
% 7.10/1.36 thf(f281,plain,(
% 7.10/1.36 ($false = (~ ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (big_f @ Y2 @ Y3))))))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (big_f @ Y2 @ Y3))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))))))))))),
% 7.10/1.36 inference(boolean_simplification,[],[f279])).
% 7.10/1.36 thf(f279,plain,(
% 7.10/1.36 (($false | (~ ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (big_f @ Y2 @ Y3))))))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (big_f @ Y2 @ Y3))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1)))))))))))) = $false)),
% 7.10/1.36 inference(backward_demodulation,[],[f219,f273])).
% 7.10/1.36 % SZS output end Proof for theBenchmark
% 7.10/1.36 % (22990)------------------------------
% 7.10/1.36 % (22990)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.10/1.36 % (22990)Termination reason: Refutation
% 7.10/1.36
% 7.10/1.36 % (22990)Memory used [KB]: 7675
% 7.10/1.36 % (22990)Time elapsed: 0.393 s
% 7.10/1.36 % (22990)Instructions burned: 761 (million)
% 7.10/1.36 % (22990)------------------------------
% 7.10/1.36 % (22990)------------------------------
% 7.10/1.36 % (22911)Success in time 1.001 s
% 7.10/1.36 % Vampire---4.8 exiting
%------------------------------------------------------------------------------