TSTP Solution File: SWV446^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV446^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n027.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 06:01:20 EDT 2024
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV446^1 : TPTP v8.2.0. Released v3.7.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34 % Computer : n027.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 : Sun May 19 07:16:08 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/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37 % (25059)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 % (25060)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 % (25061)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 % (25055)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)
% 0.13/0.37 % (25054)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 % (25057)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.37 % (25056)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 % (25061)Instruction limit reached!
% 0.13/0.37 % (25061)------------------------------
% 0.13/0.37 % (25061)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (25061)Termination reason: Unknown
% 0.13/0.37 % (25061)Termination phase: shuffling
% 0.13/0.37
% 0.13/0.37 % (25061)Memory used [KB]: 1023
% 0.13/0.37 % (25061)Time elapsed: 0.003 s
% 0.13/0.37 % (25061)Instructions burned: 3 (million)
% 0.13/0.37 % (25061)------------------------------
% 0.13/0.37 % (25061)------------------------------
% 0.13/0.37 % (25058)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 % (25057)Instruction limit reached!
% 0.13/0.37 % (25057)------------------------------
% 0.13/0.37 % (25057)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (25057)Termination reason: Unknown
% 0.13/0.37 % (25057)Termination phase: shuffling
% 0.13/0.37
% 0.13/0.37 % (25057)Memory used [KB]: 1023
% 0.13/0.37 % (25057)Time elapsed: 0.003 s
% 0.13/0.37 % (25057)Instructions burned: 2 (million)
% 0.13/0.37 % (25057)------------------------------
% 0.13/0.37 % (25057)------------------------------
% 0.13/0.37 % (25058)Instruction limit reached!
% 0.13/0.37 % (25058)------------------------------
% 0.13/0.37 % (25058)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (25058)Termination reason: Unknown
% 0.13/0.37 % (25058)Termination phase: shuffling
% 0.13/0.37
% 0.13/0.37 % (25058)Memory used [KB]: 1023
% 0.13/0.37 % (25058)Time elapsed: 0.003 s
% 0.13/0.37 % (25058)Instructions burned: 2 (million)
% 0.13/0.37 % (25058)------------------------------
% 0.13/0.37 % (25058)------------------------------
% 0.13/0.37 % (25055)Instruction limit reached!
% 0.13/0.37 % (25055)------------------------------
% 0.13/0.37 % (25055)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (25055)Termination reason: Unknown
% 0.13/0.37 % (25055)Termination phase: Property scanning
% 0.13/0.37
% 0.13/0.37 % (25055)Memory used [KB]: 1023
% 0.13/0.37 % (25055)Time elapsed: 0.004 s
% 0.13/0.37 % (25055)Instructions burned: 4 (million)
% 0.13/0.37 % (25055)------------------------------
% 0.13/0.37 % (25055)------------------------------
% 0.13/0.37 % (25059)Refutation not found, incomplete strategy
% 0.13/0.37 % (25059)------------------------------
% 0.13/0.37 % (25059)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (25059)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37 % (25059)Memory used [KB]: 5500
% 0.13/0.37 % (25059)Time elapsed: 0.005 s
% 0.13/0.37 % (25059)Instructions burned: 6 (million)
% 0.13/0.37 % (25059)------------------------------
% 0.13/0.37 % (25059)------------------------------
% 0.13/0.37 % (25060)Instruction limit reached!
% 0.13/0.37 % (25060)------------------------------
% 0.13/0.37 % (25060)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (25060)Termination reason: Unknown
% 0.13/0.37 % (25060)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (25060)Memory used [KB]: 5628
% 0.13/0.37 % (25060)Time elapsed: 0.010 s
% 0.13/0.37 % (25060)Instructions burned: 20 (million)
% 0.13/0.37 % (25060)------------------------------
% 0.13/0.37 % (25060)------------------------------
% 0.13/0.38 % (25056)Instruction limit reached!
% 0.13/0.38 % (25056)------------------------------
% 0.13/0.38 % (25056)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (25056)Termination reason: Unknown
% 0.13/0.38 % (25056)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (25056)Memory used [KB]: 5756
% 0.13/0.38 % (25056)Time elapsed: 0.016 s
% 0.13/0.38 % (25056)Instructions burned: 28 (million)
% 0.13/0.38 % (25056)------------------------------
% 0.13/0.38 % (25056)------------------------------
% 0.13/0.39 % (25067)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.13/0.39 % (25063)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)
% 0.13/0.39 % (25064)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 % (25064)Instruction limit reached!
% 0.13/0.39 % (25064)------------------------------
% 0.13/0.39 % (25064)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (25064)Termination reason: Unknown
% 0.13/0.39 % (25064)Termination phase: Property scanning
% 0.13/0.39
% 0.13/0.39 % (25064)Memory used [KB]: 1023
% 0.13/0.39 % (25064)Time elapsed: 0.004 s
% 0.13/0.39 % (25064)Instructions burned: 4 (million)
% 0.13/0.39 % (25064)------------------------------
% 0.13/0.39 % (25064)------------------------------
% 0.13/0.39 % (25066)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.39 % (25066)Instruction limit reached!
% 0.13/0.39 % (25066)------------------------------
% 0.13/0.39 % (25066)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (25066)Termination reason: Unknown
% 0.13/0.39 % (25066)Termination phase: Property scanning
% 0.13/0.39
% 0.13/0.39 % (25066)Memory used [KB]: 1023
% 0.13/0.39 % (25066)Time elapsed: 0.005 s
% 0.13/0.39 % (25066)Instructions burned: 8 (million)
% 0.13/0.39 % (25066)------------------------------
% 0.13/0.39 % (25066)------------------------------
% 0.13/0.39 % (25067)Instruction limit reached!
% 0.13/0.39 % (25067)------------------------------
% 0.13/0.39 % (25067)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (25067)Termination reason: Unknown
% 0.13/0.39 % (25067)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (25067)Memory used [KB]: 5628
% 0.13/0.39 % (25067)Time elapsed: 0.009 s
% 0.13/0.39 % (25067)Instructions burned: 16 (million)
% 0.13/0.39 % (25067)------------------------------
% 0.13/0.39 % (25067)------------------------------
% 0.13/0.40 % (25062)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)
% 0.13/0.40 % (25063)Instruction limit reached!
% 0.13/0.40 % (25063)------------------------------
% 0.13/0.40 % (25063)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (25063)Termination reason: Unknown
% 0.13/0.40 % (25063)Termination phase: Saturation
% 0.13/0.40
% 0.13/0.40 % (25063)Memory used [KB]: 5628
% 0.13/0.40 % (25063)Time elapsed: 0.010 s
% 0.13/0.40 % (25063)Instructions burned: 16 (million)
% 0.13/0.40 % (25063)------------------------------
% 0.13/0.40 % (25063)------------------------------
% 0.13/0.40 % (25065)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)
% 0.13/0.40 % (25068)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)
% 0.13/0.40 % (25068)Instruction limit reached!
% 0.13/0.40 % (25068)------------------------------
% 0.13/0.40 % (25068)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (25068)Termination reason: Unknown
% 0.13/0.40 % (25068)Termination phase: Property scanning
% 0.13/0.40
% 0.13/0.40 % (25068)Memory used [KB]: 1023
% 0.13/0.40 % (25068)Time elapsed: 0.004 s
% 0.13/0.40 % (25068)Instructions burned: 4 (million)
% 0.13/0.40 % (25068)------------------------------
% 0.13/0.40 % (25068)------------------------------
% 0.13/0.40 % (25069)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)
% 0.13/0.41 % (25069)Instruction limit reached!
% 0.13/0.41 % (25069)------------------------------
% 0.13/0.41 % (25069)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41 % (25069)Termination reason: Unknown
% 0.13/0.41 % (25069)Termination phase: Property scanning
% 0.13/0.41
% 0.13/0.41 % (25069)Memory used [KB]: 1023
% 0.13/0.41 % (25069)Time elapsed: 0.004 s
% 0.13/0.41 % (25069)Instructions burned: 4 (million)
% 0.13/0.41 % (25069)------------------------------
% 0.13/0.41 % (25069)------------------------------
% 0.13/0.41 % (25071)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)
% 0.13/0.41 % (25071)Instruction limit reached!
% 0.13/0.41 % (25071)------------------------------
% 0.13/0.41 % (25071)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41 % (25071)Termination reason: Unknown
% 0.13/0.41 % (25071)Termination phase: Property scanning
% 0.13/0.41
% 0.13/0.41 % (25071)Memory used [KB]: 1023
% 0.13/0.41 % (25071)Time elapsed: 0.003 s
% 0.13/0.41 % (25071)Instructions burned: 4 (million)
% 0.13/0.41 % (25071)------------------------------
% 0.13/0.41 % (25071)------------------------------
% 0.13/0.41 % (25070)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)
% 0.13/0.41 % (25072)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.13/0.41 % (25070)Instruction limit reached!
% 0.13/0.41 % (25070)------------------------------
% 0.13/0.41 % (25070)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41 % (25070)Termination reason: Unknown
% 0.13/0.41 % (25070)Termination phase: Function definition elimination
% 0.13/0.41
% 0.13/0.41 % (25070)Memory used [KB]: 1023
% 0.13/0.41 % (25070)Time elapsed: 0.005 s
% 0.13/0.41 % (25070)Instructions burned: 7 (million)
% 0.13/0.41 % (25070)------------------------------
% 0.13/0.41 % (25070)------------------------------
% 0.13/0.41 % (25072)Instruction limit reached!
% 0.13/0.41 % (25072)------------------------------
% 0.13/0.41 % (25072)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41 % (25072)Termination reason: Unknown
% 0.13/0.41 % (25072)Termination phase: Property scanning
% 0.13/0.41
% 0.13/0.41 % (25072)Memory used [KB]: 1023
% 0.13/0.41 % (25072)Time elapsed: 0.004 s
% 0.13/0.41 % (25072)Instructions burned: 5 (million)
% 0.13/0.42 % (25072)------------------------------
% 0.13/0.42 % (25072)------------------------------
% 0.13/0.42 % (25062)Instruction limit reached!
% 0.13/0.42 % (25062)------------------------------
% 0.13/0.42 % (25062)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.42 % (25062)Termination reason: Unknown
% 0.13/0.42 % (25062)Termination phase: Saturation
% 0.13/0.42
% 0.13/0.42 % (25062)Memory used [KB]: 5884
% 0.13/0.42 % (25062)Time elapsed: 0.050 s
% 0.13/0.42 % (25062)Instructions burned: 38 (million)
% 0.13/0.42 % (25062)------------------------------
% 0.13/0.42 % (25062)------------------------------
% 0.13/0.42 % (25073)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)
% 0.20/0.42 % (25074)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.42 % (25075)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.42 % (25074)Refutation not found, incomplete strategy
% 0.20/0.42 % (25074)------------------------------
% 0.20/0.42 % (25074)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (25074)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.42
% 0.20/0.42
% 0.20/0.42 % (25074)Memory used [KB]: 5500
% 0.20/0.42 % (25074)Time elapsed: 0.006 s
% 0.20/0.42 % (25074)Instructions burned: 7 (million)
% 0.20/0.42 % (25074)------------------------------
% 0.20/0.42 % (25074)------------------------------
% 0.20/0.43 % (25075)Instruction limit reached!
% 0.20/0.43 % (25075)------------------------------
% 0.20/0.43 % (25075)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (25075)Termination reason: Unknown
% 0.20/0.43 % (25075)Termination phase: Property scanning
% 0.20/0.43
% 0.20/0.43 % (25075)Memory used [KB]: 1023
% 0.20/0.43 % (25075)Time elapsed: 0.004 s
% 0.20/0.43 % (25075)Instructions burned: 6 (million)
% 0.20/0.43 % (25075)------------------------------
% 0.20/0.43 % (25075)------------------------------
% 0.20/0.43 % (25076)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)
% 0.20/0.43 % (25073)Instruction limit reached!
% 0.20/0.43 % (25073)------------------------------
% 0.20/0.43 % (25073)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (25073)Termination reason: Unknown
% 0.20/0.43 % (25073)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (25073)Memory used [KB]: 5628
% 0.20/0.43 % (25073)Time elapsed: 0.013 s
% 0.20/0.43 % (25073)Instructions burned: 18 (million)
% 0.20/0.43 % (25073)------------------------------
% 0.20/0.43 % (25073)------------------------------
% 0.20/0.43 % (25079)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.43 % (25076)Refutation not found, incomplete strategy
% 0.20/0.43 % (25076)------------------------------
% 0.20/0.43 % (25076)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (25076)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.43
% 0.20/0.43
% 0.20/0.43 % (25076)Memory used [KB]: 5628
% 0.20/0.43 % (25076)Time elapsed: 0.006 s
% 0.20/0.43 % (25076)Instructions burned: 7 (million)
% 0.20/0.43 % (25076)------------------------------
% 0.20/0.43 % (25076)------------------------------
% 0.20/0.43 % (25078)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)
% 0.20/0.43 % (25079)Instruction limit reached!
% 0.20/0.43 % (25079)------------------------------
% 0.20/0.43 % (25079)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (25079)Termination reason: Unknown
% 0.20/0.43 % (25079)Termination phase: Property scanning
% 0.20/0.43
% 0.20/0.43 % (25079)Memory used [KB]: 1023
% 0.20/0.43 % (25079)Time elapsed: 0.004 s
% 0.20/0.43 % (25079)Instructions burned: 5 (million)
% 0.20/0.43 % (25079)------------------------------
% 0.20/0.43 % (25079)------------------------------
% 0.20/0.44 % (25080)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)
% 0.20/0.44 % (25078)Instruction limit reached!
% 0.20/0.44 % (25078)------------------------------
% 0.20/0.44 % (25078)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (25078)Termination reason: Unknown
% 0.20/0.44 % (25078)Termination phase: Saturation
% 0.20/0.44
% 0.20/0.44 % (25078)Memory used [KB]: 5628
% 0.20/0.44 % (25078)Time elapsed: 0.011 s
% 0.20/0.44 % (25078)Instructions burned: 21 (million)
% 0.20/0.44 % (25078)------------------------------
% 0.20/0.44 % (25078)------------------------------
% 0.20/0.44 % (25081)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.20/0.44 % (25080)Instruction limit reached!
% 0.20/0.44 % (25080)------------------------------
% 0.20/0.44 % (25080)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (25080)Termination reason: Unknown
% 0.20/0.44 % (25080)Termination phase: Property scanning
% 0.20/0.44
% 0.20/0.44 % (25080)Memory used [KB]: 1023
% 0.20/0.44 % (25080)Time elapsed: 0.005 s
% 0.20/0.44 % (25080)Instructions burned: 6 (million)
% 0.20/0.44 % (25080)------------------------------
% 0.20/0.44 % (25080)------------------------------
% 0.20/0.44 % (25084)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)
% 0.20/0.44 % (25082)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)
% 0.20/0.45 % (25083)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)
% 0.20/0.45 % (25083)Refutation not found, incomplete strategy
% 0.20/0.45 % (25083)------------------------------
% 0.20/0.45 % (25083)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (25083)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45 % (25083)Memory used [KB]: 5628
% 0.20/0.45 % (25083)Time elapsed: 0.007 s
% 0.20/0.45 % (25083)Instructions burned: 10 (million)
% 0.20/0.45 % (25083)------------------------------
% 0.20/0.45 % (25083)------------------------------
% 0.20/0.46 % (25086)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.46 % (25054)Instruction limit reached!
% 0.20/0.46 % (25054)------------------------------
% 0.20/0.46 % (25054)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (25054)Termination reason: Unknown
% 0.20/0.46 % (25054)Termination phase: Saturation
% 0.20/0.46
% 0.20/0.46 % (25054)Memory used [KB]: 6652
% 0.20/0.46 % (25054)Time elapsed: 0.094 s
% 0.20/0.46 % (25054)Instructions burned: 184 (million)
% 0.20/0.46 % (25054)------------------------------
% 0.20/0.46 % (25054)------------------------------
% 0.20/0.46 % (25086)Instruction limit reached!
% 0.20/0.46 % (25086)------------------------------
% 0.20/0.46 % (25086)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (25086)Termination reason: Unknown
% 0.20/0.46 % (25086)Termination phase: shuffling
% 0.20/0.46
% 0.20/0.46 % (25086)Memory used [KB]: 1023
% 0.20/0.46 % (25086)Time elapsed: 0.003 s
% 0.20/0.46 % (25086)Instructions burned: 3 (million)
% 0.20/0.46 % (25086)------------------------------
% 0.20/0.46 % (25086)------------------------------
% 0.20/0.46 % (25085)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.20/0.47 % (25087)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.47 % (25089)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.47 % (25085)Instruction limit reached!
% 0.20/0.47 % (25085)------------------------------
% 0.20/0.47 % (25085)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47 % (25085)Termination reason: Unknown
% 0.20/0.47 % (25085)Termination phase: Saturation
% 0.20/0.47
% 0.20/0.47 % (25085)Memory used [KB]: 5628
% 0.20/0.47 % (25085)Time elapsed: 0.006 s
% 0.20/0.47 % (25085)Instructions burned: 17 (million)
% 0.20/0.47 % (25085)------------------------------
% 0.20/0.47 % (25085)------------------------------
% 0.20/0.47 % (25088)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2999ds/127Mi)
% 0.20/0.48 % (25087)Instruction limit reached!
% 0.20/0.48 % (25087)------------------------------
% 0.20/0.48 % (25087)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48 % (25087)Termination reason: Unknown
% 0.20/0.48 % (25087)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (25087)Memory used [KB]: 5756
% 0.20/0.48 % (25087)Time elapsed: 0.012 s
% 0.20/0.48 % (25087)Instructions burned: 30 (million)
% 0.20/0.48 % (25087)------------------------------
% 0.20/0.48 % (25087)------------------------------
% 0.20/0.48 % (25090)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)
% 0.20/0.48 % (25090)Instruction limit reached!
% 0.20/0.48 % (25090)------------------------------
% 0.20/0.48 % (25090)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48 % (25090)Termination reason: Unknown
% 0.20/0.48 % (25090)Termination phase: shuffling
% 0.20/0.48
% 0.20/0.48 % (25090)Memory used [KB]: 1023
% 0.20/0.48 % (25090)Time elapsed: 0.002 s
% 0.20/0.48 % (25090)Instructions burned: 3 (million)
% 0.20/0.48 % (25090)------------------------------
% 0.20/0.48 % (25090)------------------------------
% 0.20/0.49 % (25091)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)
% 0.20/0.49 % (25092)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 0.20/0.49 % (25091)Refutation not found, incomplete strategy
% 0.20/0.49 % (25091)------------------------------
% 0.20/0.49 % (25091)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.49 % (25091)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49
% 0.20/0.49
% 0.20/0.49 % (25091)Memory used [KB]: 5628
% 0.20/0.49 % (25091)Time elapsed: 0.005 s
% 0.20/0.49 % (25091)Instructions burned: 11 (million)
% 0.20/0.49 % (25091)------------------------------
% 0.20/0.49 % (25091)------------------------------
% 0.20/0.50 % (25093)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 0.20/0.50 % (25089)Instruction limit reached!
% 0.20/0.50 % (25089)------------------------------
% 0.20/0.50 % (25089)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.50 % (25089)Termination reason: Unknown
% 0.20/0.50 % (25089)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (25089)Memory used [KB]: 6012
% 0.20/0.50 % (25089)Time elapsed: 0.035 s
% 0.20/0.50 % (25089)Instructions burned: 102 (million)
% 0.20/0.50 % (25089)------------------------------
% 0.20/0.50 % (25089)------------------------------
% 0.20/0.51 % (25093)Refutation not found, incomplete strategy
% 0.20/0.51 % (25093)------------------------------
% 0.20/0.51 % (25093)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.51 % (25093)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51
% 0.20/0.51 % (25093)Memory used [KB]: 5628
% 0.20/0.51 % (25093)Time elapsed: 0.008 s
% 0.20/0.51 % (25093)Instructions burned: 23 (million)
% 0.20/0.51 % (25093)------------------------------
% 0.20/0.51 % (25093)------------------------------
% 0.20/0.51 % (25094)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 0.20/0.51 % (25095)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)
% 0.20/0.52 % (25088)Instruction limit reached!
% 0.20/0.52 % (25088)------------------------------
% 0.20/0.52 % (25088)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.52 % (25088)Termination reason: Unknown
% 0.20/0.52 % (25088)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (25088)Memory used [KB]: 6012
% 0.20/0.52 % (25088)Time elapsed: 0.044 s
% 0.20/0.52 % (25088)Instructions burned: 127 (million)
% 0.20/0.52 % (25088)------------------------------
% 0.20/0.52 % (25088)------------------------------
% 0.20/0.52 % (25092)Instruction limit reached!
% 0.20/0.52 % (25092)------------------------------
% 0.20/0.52 % (25092)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.52 % (25092)Termination reason: Unknown
% 0.20/0.52 % (25092)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (25092)Memory used [KB]: 6140
% 0.20/0.52 % (25092)Time elapsed: 0.030 s
% 0.20/0.52 % (25092)Instructions burned: 88 (million)
% 0.20/0.52 % (25092)------------------------------
% 0.20/0.52 % (25092)------------------------------
% 0.20/0.52 % (25095)Refutation not found, incomplete strategy
% 0.20/0.52 % (25095)------------------------------
% 0.20/0.52 % (25095)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.52 % (25095)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 % (25095)Memory used [KB]: 5628
% 0.20/0.52 % (25095)Time elapsed: 0.006 s
% 0.20/0.52 % (25095)Instructions burned: 15 (million)
% 0.20/0.52 % (25095)------------------------------
% 0.20/0.52 % (25095)------------------------------
% 0.20/0.52 % (25096)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)
% 0.20/0.53 % (25097)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)
% 0.20/0.53 % (25098)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)
% 0.20/0.53 % (25094)Instruction limit reached!
% 0.20/0.53 % (25094)------------------------------
% 0.20/0.53 % (25094)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.53 % (25094)Termination reason: Unknown
% 0.20/0.53 % (25094)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (25094)Memory used [KB]: 5884
% 0.20/0.53 % (25094)Time elapsed: 0.020 s
% 0.20/0.53 % (25094)Instructions burned: 39 (million)
% 0.20/0.53 % (25094)------------------------------
% 0.20/0.53 % (25094)------------------------------
% 0.20/0.53 % (25098)Refutation not found, incomplete strategy
% 0.20/0.53 % (25098)------------------------------
% 0.20/0.53 % (25098)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.53 % (25098)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53
% 0.20/0.53 % (25098)Memory used [KB]: 5628
% 0.20/0.53 % (25098)Time elapsed: 0.006 s
% 0.20/0.53 % (25098)Instructions burned: 18 (million)
% 0.20/0.53 % (25098)------------------------------
% 0.20/0.53 % (25098)------------------------------
% 0.20/0.54 % (25096)Instruction limit reached!
% 0.20/0.54 % (25096)------------------------------
% 0.20/0.54 % (25096)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.54 % (25096)Termination reason: Unknown
% 0.20/0.54 % (25096)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (25096)Memory used [KB]: 5756
% 0.20/0.54 % (25096)Time elapsed: 0.017 s
% 0.20/0.54 % (25096)Instructions burned: 46 (million)
% 0.20/0.54 % (25096)------------------------------
% 0.20/0.54 % (25096)------------------------------
% 0.20/0.54 % (25100)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 0.20/0.54 % (25081)First to succeed.
% 0.20/0.55 % (25099)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 (2998ds/149Mi)
% 0.20/0.55 % (25101)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 (2998ds/6Mi)
% 0.20/0.55 % (25101)Instruction limit reached!
% 0.20/0.55 % (25101)------------------------------
% 0.20/0.55 % (25101)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.55 % (25101)Termination reason: Unknown
% 0.20/0.55 % (25101)Termination phase: Function definition elimination
% 0.20/0.55
% 0.20/0.55 % (25101)Memory used [KB]: 1023
% 0.20/0.55 % (25101)Time elapsed: 0.003 s
% 0.20/0.55 % (25101)Instructions burned: 7 (million)
% 0.20/0.55 % (25101)------------------------------
% 0.20/0.55 % (25101)------------------------------
% 0.20/0.55 % (25081)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% 0.20/0.55 thf(type_def_6, type, individuals: $tType).
% 0.20/0.55 thf(func_def_1, type, prop_a: $i > $o).
% 0.20/0.55 thf(func_def_2, type, prop_b: $i > $o).
% 0.20/0.55 thf(func_def_3, type, prop_c: $i > $o).
% 0.20/0.55 thf(func_def_4, type, mfalse: $i > $o).
% 0.20/0.55 thf(func_def_5, type, mtrue: $i > $o).
% 0.20/0.55 thf(func_def_6, type, mnot: ($i > $o) > $i > $o).
% 0.20/0.55 thf(func_def_8, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.55 thf(func_def_9, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.55 thf(func_def_10, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.55 thf(func_def_11, type, miff: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.55 thf(func_def_12, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.20/0.55 thf(func_def_13, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.20/0.55 thf(func_def_14, type, individuals: $tType).
% 0.20/0.55 thf(func_def_15, type, mall: (individuals > $i > $o) > $i > $o).
% 0.20/0.55 thf(func_def_16, type, mexists: (individuals > $i > $o) > $i > $o).
% 0.20/0.55 thf(func_def_17, type, mvalid: ($i > $o) > $o).
% 0.20/0.55 thf(func_def_18, type, msatisfiable: ($i > $o) > $o).
% 0.20/0.55 thf(func_def_19, type, mcountersatisfiable: ($i > $o) > $o).
% 0.20/0.55 thf(func_def_20, type, minvalid: ($i > $o) > $o).
% 0.20/0.55 thf(func_def_21, type, reli: $i > $i > $o).
% 0.20/0.55 thf(func_def_22, type, relr: $i > $i > $o).
% 0.20/0.55 thf(func_def_23, type, cs4_atom: ($i > $o) > $i > $o).
% 0.20/0.55 thf(func_def_24, type, cs4_and: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.55 thf(func_def_25, type, cs4_or: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.55 thf(func_def_26, type, cs4_impl: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.55 thf(func_def_27, type, cs4_true: $i > $o).
% 0.20/0.55 thf(func_def_28, type, cs4_false: $i > $o).
% 0.20/0.55 thf(func_def_29, type, cs4_all: (individuals > $i > $o) > $i > $o).
% 0.20/0.55 thf(func_def_30, type, cs4_box: ($i > $o) > $i > $o).
% 0.20/0.55 thf(func_def_31, type, cs4_valid: ($i > $o) > $o).
% 0.20/0.55 thf(func_def_32, type, princ_inj: individuals > $i > $o).
% 0.20/0.55 thf(func_def_33, type, bl_atom: ($i > $o) > $i > $o).
% 0.20/0.55 thf(func_def_34, type, bl_princ: ($i > $o) > $i > $o).
% 0.20/0.55 thf(func_def_35, type, bl_and: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.55 thf(func_def_36, type, bl_or: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.55 thf(func_def_37, type, bl_impl: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.55 thf(func_def_38, type, bl_all: (individuals > $i > $o) > $i > $o).
% 0.20/0.55 thf(func_def_39, type, bl_true: $i > $o).
% 0.20/0.55 thf(func_def_40, type, bl_false: $i > $o).
% 0.20/0.55 thf(func_def_41, type, bl_says: individuals > ($i > $o) > $i > $o).
% 0.20/0.55 thf(func_def_42, type, bl_valid: ($i > $o) > $o).
% 0.20/0.55 thf(func_def_43, type, loca: individuals).
% 0.20/0.55 thf(func_def_57, type, sK0: $i > $o).
% 0.20/0.55 thf(func_def_58, type, sK1: individuals).
% 0.20/0.55 thf(func_def_60, type, sK3: $i > ($i > $o) > $i).
% 0.20/0.55 thf(func_def_61, type, sK4: $i > ($i > $o) > $i).
% 0.20/0.55 thf(func_def_62, type, sK5: $i > ($i > $o) > $i).
% 0.20/0.55 thf(func_def_63, type, sK6: $i > ($i > $o) > $i).
% 0.20/0.55 thf(func_def_64, type, sK7: $i > ($i > $o) > $i).
% 0.20/0.55 thf(func_def_65, type, sK8: $i > ($i > $o) > $i).
% 0.20/0.55 thf(func_def_72, type, sK15: $i > $i).
% 0.20/0.55 thf(func_def_73, type, ph16: !>[X0: $tType]:(X0)).
% 0.20/0.55 thf(f1441,plain,(
% 0.20/0.55 $false),
% 0.20/0.55 inference(avatar_sat_refutation,[],[f609,f1364,f1401,f1440])).
% 0.20/0.55 thf(f1440,plain,(
% 0.20/0.55 ~spl2_29),
% 0.20/0.55 inference(avatar_contradiction_clause,[],[f1439])).
% 0.20/0.55 thf(f1439,plain,(
% 0.20/0.55 $false | ~spl2_29),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f1438])).
% 0.20/0.55 thf(f1438,plain,(
% 0.20/0.55 ($true = $false) | ~spl2_29),
% 0.20/0.55 inference(forward_demodulation,[],[f1426,f295])).
% 0.20/0.55 thf(f295,plain,(
% 0.20/0.55 ((sK0 @ sK14) = $false)),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f294])).
% 0.20/0.55 thf(f294,plain,(
% 0.20/0.55 ($false = ((reli @ sK13 @ sK14) => (sK0 @ sK14)))),
% 0.20/0.55 inference(beta_eta_normalization,[],[f293])).
% 0.20/0.55 thf(f293,plain,(
% 0.20/0.55 ($false = ((^[Y0 : $i]: ((reli @ sK13 @ Y0) => (sK0 @ Y0))) @ sK14))),
% 0.20/0.55 inference(sigma_clausification,[],[f292])).
% 0.20/0.55 thf(f292,plain,(
% 0.20/0.55 ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ sK13 @ Y0) => (sK0 @ Y0)))))),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f289])).
% 0.20/0.55 thf(f289,plain,(
% 0.20/0.55 (((!! @ $i @ (^[Y0 : $i]: ((reli @ sK13 @ Y0) => (sK0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK13 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK0 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK1 @ Y3))))))))))))))))) = $false)),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f288])).
% 0.20/0.55 thf(f288,plain,(
% 0.20/0.55 (((reli @ sK12 @ sK13) => ((!! @ $i @ (^[Y0 : $i]: ((reli @ sK13 @ Y0) => (sK0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK13 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK0 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK1 @ Y3)))))))))))))))))) = $false)),
% 0.20/0.55 inference(beta_eta_normalization,[],[f287])).
% 0.20/0.55 thf(f287,plain,(
% 0.20/0.55 ($false = ((^[Y0 : $i]: ((reli @ sK12 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK0 @ Y4)))) | (~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ sK1 @ Y4))))))))))))))))))) @ sK13))),
% 0.20/0.55 inference(sigma_clausification,[],[f286])).
% 0.20/0.55 thf(f286,plain,(
% 0.20/0.55 ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ sK12 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK0 @ Y4)))) | (~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ sK1 @ Y4)))))))))))))))))))))),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f283])).
% 0.20/0.55 thf(f283,plain,(
% 0.20/0.55 ($false = ((!! @ $i @ (^[Y0 : $i]: ((reli @ sK12 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK0 @ Y4)))) | (~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ sK1 @ Y4)))))))))))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK12 @ Y0) => (princ_inj @ sK1 @ Y0)))))))),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f282])).
% 0.20/0.55 thf(f282,plain,(
% 0.20/0.55 ($false = ((reli @ sK11 @ sK12) => ((!! @ $i @ (^[Y0 : $i]: ((reli @ sK12 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK0 @ Y4)))) | (~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ sK1 @ Y4)))))))))))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK12 @ Y0) => (princ_inj @ sK1 @ Y0))))))))),
% 0.20/0.55 inference(beta_eta_normalization,[],[f281])).
% 0.20/0.55 thf(f281,plain,(
% 0.20/0.55 ($false = ((^[Y0 : $i]: ((reli @ sK11 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (sK0 @ Y5)))) | (~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (princ_inj @ sK1 @ Y5)))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK1 @ Y1)))))))) @ sK12))),
% 0.20/0.55 inference(sigma_clausification,[],[f279])).
% 0.20/0.55 thf(f279,plain,(
% 0.20/0.55 ((!! @ $i @ (^[Y0 : $i]: ((reli @ sK11 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (sK0 @ Y5)))) | (~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (princ_inj @ sK1 @ Y5)))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK1 @ Y1))))))))) = $false)),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f278])).
% 0.20/0.55 thf(f278,plain,(
% 0.20/0.55 (((relr @ sK10 @ sK11) => (!! @ $i @ (^[Y0 : $i]: ((reli @ sK11 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (sK0 @ Y5)))) | (~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (princ_inj @ sK1 @ Y5)))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK1 @ Y1)))))))))) = $false)),
% 0.20/0.55 inference(beta_eta_normalization,[],[f277])).
% 0.20/0.55 thf(f277,plain,(
% 0.20/0.55 ($false = ((^[Y0 : $i]: ((relr @ sK10 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK0 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => ((!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (sK0 @ Y6)))) | (~ (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (princ_inj @ sK1 @ Y6)))))))))))))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK1 @ Y2))))))))))) @ sK11))),
% 0.20/0.55 inference(sigma_clausification,[],[f275])).
% 0.20/0.55 thf(f275,plain,(
% 0.20/0.55 ((!! @ $i @ (^[Y0 : $i]: ((relr @ sK10 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK0 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => ((!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (sK0 @ Y6)))) | (~ (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (princ_inj @ sK1 @ Y6)))))))))))))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK1 @ Y2)))))))))))) = $false)),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f274])).
% 0.20/0.55 thf(f274,plain,(
% 0.20/0.55 ($false = ((reli @ sK9 @ sK10) => (!! @ $i @ (^[Y0 : $i]: ((relr @ sK10 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK0 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => ((!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (sK0 @ Y6)))) | (~ (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (princ_inj @ sK1 @ Y6)))))))))))))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK1 @ Y2))))))))))))))),
% 0.20/0.55 inference(beta_eta_normalization,[],[f273])).
% 0.20/0.55 thf(f273,plain,(
% 0.20/0.55 (((^[Y0 : $i]: ((reli @ sK9 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK0 @ Y4)))) | (~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((relr @ Y4 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => ((!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (sK0 @ Y7)))) | (~ (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (princ_inj @ sK1 @ Y7)))))))))))))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK1 @ Y3)))))))))))))) @ sK10) = $false)),
% 0.20/0.55 inference(sigma_clausification,[],[f272])).
% 0.20/0.55 thf(f272,plain,(
% 0.20/0.55 ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ sK9 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK0 @ Y4)))) | (~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((relr @ Y4 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => ((!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (sK0 @ Y7)))) | (~ (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (princ_inj @ sK1 @ Y7)))))))))))))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK1 @ Y3))))))))))))))))),
% 0.20/0.55 inference(beta_eta_normalization,[],[f271])).
% 0.20/0.55 thf(f271,plain,(
% 0.20/0.55 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (sK0 @ Y5)))) | (~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((relr @ Y5 @ Y6) => (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => ((!! @ $i @ (^[Y8 : $i]: ((reli @ Y7 @ Y8) => (sK0 @ Y8)))) | (~ (!! @ $i @ (^[Y8 : $i]: ((reli @ Y7 @ Y8) => (princ_inj @ sK1 @ Y8)))))))))))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ sK1 @ Y4)))))))))))))))) @ sK9))),
% 0.20/0.55 inference(sigma_clausification,[],[f270])).
% 0.20/0.55 thf(f270,plain,(
% 0.20/0.55 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (sK0 @ Y5)))) | (~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((relr @ Y5 @ Y6) => (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => ((!! @ $i @ (^[Y8 : $i]: ((reli @ Y7 @ Y8) => (sK0 @ Y8)))) | (~ (!! @ $i @ (^[Y8 : $i]: ((reli @ Y7 @ Y8) => (princ_inj @ sK1 @ Y8)))))))))))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ sK1 @ Y4))))))))))))))))))),
% 0.20/0.55 inference(beta_eta_normalization,[],[f177])).
% 0.20/0.55 thf(f177,plain,(
% 0.20/0.55 ($true != ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : individuals]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ reli @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ relr @ Y2))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: ((Y7 @ Y8) | (Y6 @ Y8))))))) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (~ (Y6 @ Y7))))) @ Y4) @ Y5)))) @ Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ Y3)) @ Y2)) @ (princ_inj @ Y0)) @ Y1))))) @ sK1 @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: ((Y7 @ Y8) | (Y6 @ Y8))))))) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (~ (Y6 @ Y7))))) @ Y4) @ Y5)))) @ Y2 @ Y3))))) @ Y0 @ Y1)))) @ ((^[Y0 : individuals]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ reli @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ relr @ Y2))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: ((Y7 @ Y8) | (Y6 @ Y8))))))) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (~ (Y6 @ Y7))))) @ Y4) @ Y5)))) @ Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ Y3)) @ Y2)) @ (princ_inj @ Y0)) @ Y1))))) @ sK1 @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ reli @ Y1)) @ Y0)) @ sK0)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ reli @ Y1)) @ Y0)) @ sK0)))))),
% 0.20/0.55 inference(definition_unfolding,[],[f118,f176,f175,f173,f175,f169,f169])).
% 0.20/0.55 thf(f169,plain,(
% 0.20/0.55 (bl_atom = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ reli @ Y1)) @ Y0)))),
% 0.20/0.55 inference(definition_unfolding,[],[f148,f160])).
% 0.20/0.55 thf(f160,plain,(
% 0.20/0.55 (cs4_atom = (^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ reli @ Y0)))),
% 0.20/0.55 inference(definition_unfolding,[],[f155,f133])).
% 0.20/0.55 thf(f133,plain,(
% 0.20/0.55 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.20/0.55 inference(cnf_transformation,[],[f103])).
% 0.20/0.55 thf(f103,plain,(
% 0.20/0.55 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.20/0.55 inference(fool_elimination,[],[f102])).
% 0.20/0.55 thf(f102,plain,(
% 0.20/0.55 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X0 @ X2 @ X3) => (X1 @ X3)))))),
% 0.20/0.55 inference(rectify,[],[f8])).
% 0.20/0.55 thf(f8,axiom,(
% 0.20/0.55 (mbox = (^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (! [X2] : ((X4 @ X0 @ X2) => (X5 @ X2)))))),
% 0.20/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)).
% 0.20/0.55 thf(f155,plain,(
% 0.20/0.55 (cs4_atom = (^[Y0 : $i > $o]: (mbox @ reli @ Y0)))),
% 0.20/0.55 inference(cnf_transformation,[],[f113])).
% 0.20/0.55 thf(f113,plain,(
% 0.20/0.55 (cs4_atom = (^[Y0 : $i > $o]: (mbox @ reli @ Y0)))),
% 0.20/0.55 inference(fool_elimination,[],[f112])).
% 0.20/0.55 thf(f112,plain,(
% 0.20/0.55 ((^[X0 : $i > $o] : (mbox @ reli @ X0)) = cs4_atom)),
% 0.20/0.55 inference(rectify,[],[f16])).
% 0.20/0.55 thf(f16,axiom,(
% 0.20/0.55 ((^[X5 : $i > $o] : (mbox @ reli @ X5)) = cs4_atom)),
% 0.20/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cs4_atom)).
% 0.20/0.55 thf(f148,plain,(
% 0.20/0.55 (bl_atom = (^[Y0 : $i > $o]: (cs4_atom @ Y0)))),
% 0.20/0.55 inference(cnf_transformation,[],[f92])).
% 0.20/0.55 thf(f92,plain,(
% 0.20/0.55 (bl_atom = (^[Y0 : $i > $o]: (cs4_atom @ Y0)))),
% 0.20/0.55 inference(fool_elimination,[],[f91])).
% 0.20/0.55 thf(f91,plain,(
% 0.20/0.55 (bl_atom = (^[X0 : $i > $o] : (cs4_atom @ X0)))),
% 0.20/0.55 inference(rectify,[],[f30])).
% 0.20/0.55 thf(f30,axiom,(
% 0.20/0.55 (bl_atom = (^[X5 : $i > $o] : (cs4_atom @ X5)))),
% 0.20/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bl_atom)).
% 0.20/0.55 thf(f173,plain,(
% 0.20/0.55 (bl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: ((Y7 @ Y8) | (Y6 @ Y8))))))) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (~ (Y6 @ Y7))))) @ Y4) @ Y5)))) @ Y2 @ Y3))))) @ Y0 @ Y1)))))),
% 0.20/0.55 inference(definition_unfolding,[],[f130,f163])).
% 0.20/0.55 thf(f163,plain,(
% 0.20/0.55 (cs4_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ reli @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))))),
% 0.20/0.55 inference(definition_unfolding,[],[f127,f133,f158])).
% 0.20/0.55 thf(f158,plain,(
% 0.20/0.55 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.20/0.55 inference(definition_unfolding,[],[f125,f145,f138])).
% 0.20/0.55 thf(f138,plain,(
% 0.20/0.55 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.20/0.55 inference(cnf_transformation,[],[f88])).
% 0.20/0.55 thf(f88,plain,(
% 0.20/0.55 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.20/0.55 inference(fool_elimination,[],[f87])).
% 0.20/0.55 thf(f87,plain,(
% 0.20/0.55 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.20/0.55 inference(rectify,[],[f3])).
% 0.20/0.55 thf(f3,axiom,(
% 0.20/0.55 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.20/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)).
% 0.20/0.55 thf(f145,plain,(
% 0.20/0.55 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.20/0.55 inference(cnf_transformation,[],[f67])).
% 0.20/0.55 thf(f67,plain,(
% 0.20/0.55 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.20/0.55 inference(fool_elimination,[],[f66])).
% 0.20/0.55 thf(f66,plain,(
% 0.20/0.55 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))) = mor)),
% 0.20/0.55 inference(rectify,[],[f4])).
% 0.20/0.55 thf(f4,axiom,(
% 0.20/0.55 ((^[X0 : $i > $o, X2 : $i > $o, X1 : $i] : ((X0 @ X1) | (X2 @ X1))) = mor)),
% 0.20/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)).
% 0.20/0.55 thf(f125,plain,(
% 0.20/0.55 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.20/0.55 inference(cnf_transformation,[],[f59])).
% 0.20/0.55 thf(f59,plain,(
% 0.20/0.55 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.20/0.55 inference(fool_elimination,[],[f58])).
% 0.20/0.55 thf(f58,plain,(
% 0.20/0.55 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimpl)),
% 0.20/0.55 inference(rectify,[],[f6])).
% 0.20/0.55 thf(f6,axiom,(
% 0.20/0.55 ((^[X1 : $i > $o, X3 : $i > $o] : (mor @ (mnot @ X1) @ X3)) = mimpl)),
% 0.20/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimpl)).
% 0.20/0.55 thf(f127,plain,(
% 0.20/0.55 (cs4_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ reli @ (mimpl @ Y0 @ Y1))))))),
% 0.20/0.55 inference(cnf_transformation,[],[f57])).
% 0.20/0.55 thf(f57,plain,(
% 0.20/0.55 (cs4_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ reli @ (mimpl @ Y0 @ Y1))))))),
% 0.20/0.55 inference(fool_elimination,[],[f56])).
% 0.20/0.55 thf(f56,plain,(
% 0.20/0.55 ((^[X0 : $i > $o, X1 : $i > $o] : (mbox @ reli @ (mimpl @ X0 @ X1))) = cs4_impl)),
% 0.20/0.55 inference(rectify,[],[f19])).
% 0.20/0.55 thf(f19,axiom,(
% 0.20/0.55 ((^[X7 : $i > $o, X8 : $i > $o] : (mbox @ reli @ (mimpl @ X7 @ X8))) = cs4_impl)),
% 0.20/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cs4_impl)).
% 0.20/0.55 thf(f130,plain,(
% 0.20/0.55 (bl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (cs4_impl @ Y0 @ Y1)))))),
% 0.20/0.55 inference(cnf_transformation,[],[f100])).
% 0.20/0.55 thf(f100,plain,(
% 0.20/0.55 (bl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (cs4_impl @ Y0 @ Y1)))))),
% 0.20/0.55 inference(fool_elimination,[],[f99])).
% 0.20/0.55 thf(f99,plain,(
% 0.20/0.55 ((^[X0 : $i > $o, X1 : $i > $o] : (cs4_impl @ X0 @ X1)) = bl_impl)),
% 0.20/0.55 inference(rectify,[],[f34])).
% 0.20/0.55 thf(f34,axiom,(
% 0.20/0.55 ((^[X7 : $i > $o, X8 : $i > $o] : (cs4_impl @ X7 @ X8)) = bl_impl)),
% 0.20/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bl_impl)).
% 0.20/0.55 thf(f175,plain,(
% 0.20/0.55 (bl_says = (^[Y0 : individuals]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ reli @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ relr @ Y2))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: ((Y7 @ Y8) | (Y6 @ Y8))))))) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (~ (Y6 @ Y7))))) @ Y4) @ Y5)))) @ Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ Y3)) @ Y2)) @ (princ_inj @ Y0)) @ Y1))))))),
% 0.20/0.55 inference(definition_unfolding,[],[f146,f167,f163,f170])).
% 0.20/0.55 thf(f170,plain,(
% 0.20/0.55 (bl_princ = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ reli @ Y1)) @ Y0)))),
% 0.20/0.55 inference(definition_unfolding,[],[f119,f160])).
% 0.20/0.55 thf(f119,plain,(
% 0.20/0.55 (bl_princ = (^[Y0 : $i > $o]: (cs4_atom @ Y0)))),
% 0.20/0.55 inference(cnf_transformation,[],[f80])).
% 0.20/0.55 thf(f80,plain,(
% 0.20/0.55 (bl_princ = (^[Y0 : $i > $o]: (cs4_atom @ Y0)))),
% 0.20/0.55 inference(fool_elimination,[],[f79])).
% 0.20/0.55 thf(f79,plain,(
% 0.20/0.55 ((^[X0 : $i > $o] : (cs4_atom @ X0)) = bl_princ)),
% 0.20/0.55 inference(rectify,[],[f31])).
% 0.20/0.55 thf(f31,axiom,(
% 0.20/0.55 ((^[X5 : $i > $o] : (cs4_atom @ X5)) = bl_princ)),
% 0.20/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bl_princ)).
% 0.20/0.55 thf(f167,plain,(
% 0.20/0.55 (cs4_box = (^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ reli @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ relr @ Y0))))),
% 0.20/0.55 inference(definition_unfolding,[],[f151,f133,f133])).
% 0.20/0.55 thf(f151,plain,(
% 0.20/0.55 (cs4_box = (^[Y0 : $i > $o]: (mbox @ reli @ (mbox @ relr @ Y0))))),
% 0.20/0.55 inference(cnf_transformation,[],[f71])).
% 0.20/0.55 thf(f71,plain,(
% 0.20/0.55 (cs4_box = (^[Y0 : $i > $o]: (mbox @ reli @ (mbox @ relr @ Y0))))),
% 0.20/0.55 inference(fool_elimination,[],[f70])).
% 0.20/0.55 thf(f70,plain,(
% 0.20/0.55 ((^[X0 : $i > $o] : (mbox @ reli @ (mbox @ relr @ X0))) = cs4_box)),
% 0.20/0.55 inference(rectify,[],[f23])).
% 0.20/0.55 thf(f23,axiom,(
% 0.20/0.55 ((^[X7 : $i > $o] : (mbox @ reli @ (mbox @ relr @ X7))) = cs4_box)),
% 0.20/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cs4_box)).
% 0.20/0.55 thf(f146,plain,(
% 0.20/0.55 (bl_says = (^[Y0 : individuals]: ((^[Y1 : $i > $o]: (cs4_box @ (cs4_impl @ (bl_princ @ (princ_inj @ Y0)) @ Y1))))))),
% 0.20/0.55 inference(cnf_transformation,[],[f53])).
% 0.20/0.55 thf(f53,plain,(
% 0.20/0.55 (bl_says = (^[Y0 : individuals]: ((^[Y1 : $i > $o]: (cs4_box @ (cs4_impl @ (bl_princ @ (princ_inj @ Y0)) @ Y1))))))),
% 0.20/0.55 inference(fool_elimination,[],[f52])).
% 0.20/0.55 thf(f52,plain,(
% 0.20/0.55 (bl_says = (^[X0 : individuals, X1 : $i > $o] : (cs4_box @ (cs4_impl @ (bl_princ @ (princ_inj @ X0)) @ X1))))),
% 0.20/0.55 inference(rectify,[],[f38])).
% 0.20/0.55 thf(f38,axiom,(
% 0.20/0.55 (bl_says = (^[X9 : individuals, X7 : $i > $o] : (cs4_box @ (cs4_impl @ (bl_princ @ (princ_inj @ X9)) @ X7))))),
% 0.20/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bl_says)).
% 0.20/0.55 thf(f176,plain,(
% 0.20/0.55 (bl_valid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.20/0.55 inference(definition_unfolding,[],[f150,f129])).
% 0.20/0.55 thf(f129,plain,(
% 0.20/0.55 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.20/0.55 inference(cnf_transformation,[],[f86])).
% 0.20/0.55 thf(f86,plain,(
% 0.20/0.55 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.20/0.55 inference(fool_elimination,[],[f85])).
% 0.20/0.55 thf(f85,plain,(
% 0.20/0.55 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.20/0.55 inference(rectify,[],[f12])).
% 0.20/0.55 thf(f12,axiom,(
% 0.20/0.55 (mvalid = (^[X5 : $i > $o] : (! [X6] : (X5 @ X6))))),
% 0.20/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)).
% 0.20/0.55 thf(f150,plain,(
% 0.20/0.55 (mvalid = bl_valid)),
% 0.20/0.55 inference(cnf_transformation,[],[f39])).
% 0.20/0.55 thf(f39,axiom,(
% 0.20/0.55 (mvalid = bl_valid)),
% 0.20/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bl_valid_def)).
% 0.20/0.55 thf(f118,plain,(
% 0.20/0.55 ($true != (bl_valid @ (bl_says @ sK1 @ (bl_impl @ (bl_says @ sK1 @ (bl_atom @ sK0)) @ (bl_atom @ sK0)))))),
% 0.20/0.55 inference(cnf_transformation,[],[f116])).
% 0.20/0.55 thf(f116,plain,(
% 0.20/0.55 ($true != (bl_valid @ (bl_says @ sK1 @ (bl_impl @ (bl_says @ sK1 @ (bl_atom @ sK0)) @ (bl_atom @ sK0)))))),
% 0.20/0.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f114,f115])).
% 0.20/0.55 thf(f115,plain,(
% 0.20/0.55 ? [X0 : $i > $o,X1 : individuals] : ($true != (bl_valid @ (bl_says @ X1 @ (bl_impl @ (bl_says @ X1 @ (bl_atom @ X0)) @ (bl_atom @ X0))))) => ($true != (bl_valid @ (bl_says @ sK1 @ (bl_impl @ (bl_says @ sK1 @ (bl_atom @ sK0)) @ (bl_atom @ sK0)))))),
% 0.20/0.55 introduced(choice_axiom,[])).
% 0.20/0.55 thf(f114,plain,(
% 0.20/0.55 ? [X0 : $i > $o,X1 : individuals] : ($true != (bl_valid @ (bl_says @ X1 @ (bl_impl @ (bl_says @ X1 @ (bl_atom @ X0)) @ (bl_atom @ X0)))))),
% 0.20/0.55 inference(ennf_transformation,[],[f75])).
% 0.20/0.55 thf(f75,plain,(
% 0.20/0.55 ~! [X0 : $i > $o,X1 : individuals] : ($true = (bl_valid @ (bl_says @ X1 @ (bl_impl @ (bl_says @ X1 @ (bl_atom @ X0)) @ (bl_atom @ X0)))))),
% 0.20/0.55 inference(fool_elimination,[],[f74])).
% 0.20/0.55 thf(f74,plain,(
% 0.20/0.55 ~! [X0 : $i > $o,X1 : individuals] : (bl_valid @ (bl_says @ X1 @ (bl_impl @ (bl_says @ X1 @ (bl_atom @ X0)) @ (bl_atom @ X0))))),
% 0.20/0.55 inference(rectify,[],[f42])).
% 0.20/0.55 thf(f42,negated_conjecture,(
% 0.20/0.55 ~! [X7 : $i > $o,X9 : individuals] : (bl_valid @ (bl_says @ X9 @ (bl_impl @ (bl_says @ X9 @ (bl_atom @ X7)) @ (bl_atom @ X7))))),
% 0.20/0.55 inference(negated_conjecture,[],[f41])).
% 0.20/0.55 thf(f41,conjecture,(
% 0.20/0.55 ! [X7 : $i > $o,X9 : individuals] : (bl_valid @ (bl_says @ X9 @ (bl_impl @ (bl_says @ X9 @ (bl_atom @ X7)) @ (bl_atom @ X7))))),
% 0.20/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bl_conceit)).
% 0.20/0.55 thf(f1426,plain,(
% 0.20/0.55 ((sK0 @ sK14) = $true) | ~spl2_29),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f1415])).
% 0.20/0.55 thf(f1415,plain,(
% 0.20/0.55 ((sK0 @ sK14) = $true) | ($true = $false) | ~spl2_29),
% 0.20/0.55 inference(superposition,[],[f1271,f296])).
% 0.20/0.55 thf(f296,plain,(
% 0.20/0.55 ($true = (reli @ sK13 @ sK14))),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f294])).
% 0.20/0.55 thf(f1271,plain,(
% 0.20/0.55 ( ! [X1 : $i] : (($false = (reli @ sK13 @ X1)) | ((sK0 @ X1) = $true)) ) | ~spl2_29),
% 0.20/0.55 inference(avatar_component_clause,[],[f1270])).
% 0.20/0.55 thf(f1270,plain,(
% 0.20/0.55 spl2_29 <=> ! [X1] : (((sK0 @ X1) = $true) | ($false = (reli @ sK13 @ X1)))),
% 0.20/0.55 introduced(avatar_definition,[new_symbols(naming,[spl2_29])])).
% 0.20/0.55 thf(f1401,plain,(
% 0.20/0.55 ~spl2_30),
% 0.20/0.55 inference(avatar_contradiction_clause,[],[f1400])).
% 0.20/0.55 thf(f1400,plain,(
% 0.20/0.55 $false | ~spl2_30),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f1397])).
% 0.20/0.55 thf(f1397,plain,(
% 0.20/0.55 ($true = $false) | ~spl2_30),
% 0.20/0.55 inference(superposition,[],[f370,f1394])).
% 0.20/0.55 thf(f1394,plain,(
% 0.20/0.55 ($false = (relr @ sK13 @ sK13)) | ~spl2_30),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f1393])).
% 0.20/0.55 thf(f1393,plain,(
% 0.20/0.55 ($false = (relr @ sK13 @ sK13)) | ($true = $false) | ~spl2_30),
% 0.20/0.55 inference(forward_demodulation,[],[f1389,f362])).
% 0.20/0.55 thf(f362,plain,(
% 0.20/0.55 ( ! [X0 : $i] : (($true = (reli @ X0 @ X0))) )),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f361])).
% 0.20/0.55 thf(f361,plain,(
% 0.20/0.55 ( ! [X0 : $i] : (($true = (reli @ X0 @ X0)) | ($true = $false)) )),
% 0.20/0.55 inference(duplicate_literal_removal,[],[f357])).
% 0.20/0.55 thf(f357,plain,(
% 0.20/0.55 ( ! [X0 : $i] : (($true = $false) | ($true = (reli @ X0 @ X0)) | ($true = (reli @ X0 @ X0))) )),
% 0.20/0.55 inference(superposition,[],[f225,f224])).
% 0.20/0.55 thf(f224,plain,(
% 0.20/0.55 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ (sK5 @ X1 @ X0)) = $false) | ((X0 @ X1) = $true)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f223])).
% 0.20/0.55 thf(f223,plain,(
% 0.20/0.55 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ X1) = $true) | ($false = ((reli @ X1 @ (sK5 @ X1 @ X0)) => (X0 @ (sK5 @ X1 @ X0))))) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f222])).
% 0.20/0.55 thf(f222,plain,(
% 0.20/0.55 ( ! [X0 : $i > $o,X1 : $i] : ((((^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0))) @ (sK5 @ X1 @ X0)) = $false) | ((X0 @ X1) = $true)) )),
% 0.20/0.55 inference(sigma_clausification,[],[f221])).
% 0.20/0.55 thf(f221,plain,(
% 0.20/0.55 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ X1) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0)))))) )),
% 0.20/0.55 inference(not_proxy_clausification,[],[f220])).
% 0.20/0.55 thf(f220,plain,(
% 0.20/0.55 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ X1) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0))))))) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f219])).
% 0.20/0.55 thf(f219,plain,(
% 0.20/0.55 ( ! [X0 : $i > $o,X1 : $i] : (($true = ((X0 @ X1) | (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0)))))))) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f218])).
% 0.20/0.55 thf(f218,plain,(
% 0.20/0.55 ( ! [X0 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i]: ((X0 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (X0 @ Y1))))))) @ X1))) )),
% 0.20/0.55 inference(pi_clausification,[],[f217])).
% 0.20/0.55 thf(f217,plain,(
% 0.20/0.55 ( ! [X0 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((X0 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (X0 @ Y1)))))))) = $true)) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f178])).
% 0.20/0.55 thf(f178,plain,(
% 0.20/0.55 ( ! [X0 : $i > $o] : (($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ reli @ X0) @ X0)))) )),
% 0.20/0.55 inference(definition_unfolding,[],[f121,f129,f158,f133])).
% 0.20/0.55 thf(f121,plain,(
% 0.20/0.55 ( ! [X0 : $i > $o] : (((mvalid @ (mimpl @ (mbox @ reli @ X0) @ X0)) = $true)) )),
% 0.20/0.55 inference(cnf_transformation,[],[f47])).
% 0.20/0.55 thf(f47,plain,(
% 0.20/0.55 ! [X0 : $i > $o] : ((mvalid @ (mimpl @ (mbox @ reli @ X0) @ X0)) = $true)),
% 0.20/0.55 inference(fool_elimination,[],[f46])).
% 0.20/0.55 thf(f46,plain,(
% 0.20/0.55 ! [X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ reli @ X0) @ X0))),
% 0.20/0.55 inference(rectify,[],[f25])).
% 0.20/0.55 thf(f25,axiom,(
% 0.20/0.55 ! [X7 : $i > $o] : (mvalid @ (mimpl @ (mbox @ reli @ X7) @ X7))),
% 0.20/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',refl_axiom_i)).
% 0.20/0.55 thf(f225,plain,(
% 0.20/0.55 ( ! [X0 : $i > $o,X1 : $i] : (($true = (reli @ X1 @ (sK5 @ X1 @ X0))) | ((X0 @ X1) = $true)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f223])).
% 0.20/0.55 thf(f1389,plain,(
% 0.20/0.55 ($false = (reli @ sK13 @ sK13)) | ($false = (relr @ sK13 @ sK13)) | ~spl2_30),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f1378])).
% 0.20/0.55 thf(f1378,plain,(
% 0.20/0.55 ($false = (relr @ sK13 @ sK13)) | ($false = (reli @ sK13 @ sK13)) | ($false != $false) | ~spl2_30),
% 0.20/0.55 inference(equality_factoring,[],[f1274])).
% 0.20/0.55 thf(f1274,plain,(
% 0.20/0.55 ( ! [X2 : $i,X0 : $i] : (($false = (reli @ sK13 @ X2)) | ((reli @ X0 @ sK13) = $false) | ((relr @ X2 @ X0) = $false)) ) | ~spl2_30),
% 0.20/0.55 inference(avatar_component_clause,[],[f1273])).
% 0.20/0.55 thf(f1273,plain,(
% 0.20/0.55 spl2_30 <=> ! [X2,X0] : (($false = (reli @ sK13 @ X2)) | ((relr @ X2 @ X0) = $false) | ((reli @ X0 @ sK13) = $false))),
% 0.20/0.55 introduced(avatar_definition,[new_symbols(naming,[spl2_30])])).
% 0.20/0.55 thf(f370,plain,(
% 0.20/0.55 ( ! [X0 : $i] : (($true = (relr @ X0 @ X0))) )),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f369])).
% 0.20/0.55 thf(f369,plain,(
% 0.20/0.55 ( ! [X0 : $i] : (($true = (relr @ X0 @ X0)) | ($true = $false)) )),
% 0.20/0.55 inference(duplicate_literal_removal,[],[f365])).
% 0.20/0.55 thf(f365,plain,(
% 0.20/0.55 ( ! [X0 : $i] : (($true = (relr @ X0 @ X0)) | ($true = $false) | ($true = (relr @ X0 @ X0))) )),
% 0.20/0.55 inference(superposition,[],[f256,f255])).
% 0.20/0.55 thf(f255,plain,(
% 0.20/0.55 ( ! [X0 : $i > $o,X1 : $i] : (($false = (X0 @ (sK8 @ X1 @ X0))) | ((X0 @ X1) = $true)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f254])).
% 0.20/0.55 thf(f254,plain,(
% 0.20/0.55 ( ! [X0 : $i > $o,X1 : $i] : (($false = ((relr @ X1 @ (sK8 @ X1 @ X0)) => (X0 @ (sK8 @ X1 @ X0)))) | ((X0 @ X1) = $true)) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f253])).
% 0.20/0.55 thf(f253,plain,(
% 0.20/0.55 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ X1) = $true) | ($false = ((^[Y0 : $i]: ((relr @ X1 @ Y0) => (X0 @ Y0))) @ (sK8 @ X1 @ X0)))) )),
% 0.20/0.55 inference(sigma_clausification,[],[f252])).
% 0.20/0.55 thf(f252,plain,(
% 0.20/0.55 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ X1) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((relr @ X1 @ Y0) => (X0 @ Y0)))))) )),
% 0.20/0.55 inference(not_proxy_clausification,[],[f251])).
% 0.20/0.55 thf(f251,plain,(
% 0.20/0.55 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ X1) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((relr @ X1 @ Y0) => (X0 @ Y0))))))) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f250])).
% 0.20/0.55 thf(f250,plain,(
% 0.20/0.55 ( ! [X0 : $i > $o,X1 : $i] : (($true = ((X0 @ X1) | (~ (!! @ $i @ (^[Y0 : $i]: ((relr @ X1 @ Y0) => (X0 @ Y0)))))))) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f249])).
% 0.20/0.55 thf(f249,plain,(
% 0.20/0.55 ( ! [X0 : $i > $o,X1 : $i] : ((((^[Y0 : $i]: ((X0 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (X0 @ Y1))))))) @ X1) = $true)) )),
% 0.20/0.55 inference(pi_clausification,[],[f248])).
% 0.20/0.55 thf(f248,plain,(
% 0.20/0.55 ( ! [X0 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((X0 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (X0 @ Y1)))))))) = $true)) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f181])).
% 0.20/0.55 thf(f181,plain,(
% 0.20/0.55 ( ! [X0 : $i > $o] : (($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ relr @ X0) @ X0)))) )),
% 0.20/0.55 inference(definition_unfolding,[],[f131,f129,f158,f133])).
% 0.20/0.55 thf(f131,plain,(
% 0.20/0.55 ( ! [X0 : $i > $o] : (($true = (mvalid @ (mimpl @ (mbox @ relr @ X0) @ X0)))) )),
% 0.20/0.55 inference(cnf_transformation,[],[f51])).
% 0.20/0.55 thf(f51,plain,(
% 0.20/0.55 ! [X0 : $i > $o] : ($true = (mvalid @ (mimpl @ (mbox @ relr @ X0) @ X0)))),
% 0.20/0.55 inference(fool_elimination,[],[f50])).
% 0.20/0.55 thf(f50,plain,(
% 0.20/0.55 ! [X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ relr @ X0) @ X0))),
% 0.20/0.55 inference(rectify,[],[f26])).
% 0.20/0.55 thf(f26,axiom,(
% 0.20/0.55 ! [X7 : $i > $o] : (mvalid @ (mimpl @ (mbox @ relr @ X7) @ X7))),
% 0.20/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',refl_axiom_r)).
% 0.20/0.55 thf(f256,plain,(
% 0.20/0.55 ( ! [X0 : $i > $o,X1 : $i] : (($true = (relr @ X1 @ (sK8 @ X1 @ X0))) | ((X0 @ X1) = $true)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f254])).
% 0.20/0.55 thf(f1364,plain,(
% 0.20/0.55 spl2_29 | spl2_29 | spl2_30 | spl2_30 | ~spl2_13),
% 0.20/0.55 inference(avatar_split_clause,[],[f1349,f598,f1273,f1273,f1270,f1270])).
% 0.20/0.55 thf(f598,plain,(
% 0.20/0.55 spl2_13 <=> ! [X2,X3] : (((princ_inj @ sK1 @ X2) = $true) | ($false = (reli @ sK12 @ X3)) | ($false = (reli @ X3 @ X2)))),
% 0.20/0.55 introduced(avatar_definition,[new_symbols(naming,[spl2_13])])).
% 0.20/0.55 thf(f1349,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($false = (reli @ sK13 @ X1)) | ($false = (reli @ sK13 @ X3)) | ($false = (reli @ sK13 @ X2)) | ((reli @ X0 @ sK13) = $false) | ((sK0 @ X1) = $true) | ((relr @ X2 @ X0) = $false) | ((reli @ X5 @ sK13) = $false) | ($true = (sK0 @ X4)) | ((relr @ X3 @ X5) = $false) | ((reli @ sK13 @ X4) = $false)) ) | ~spl2_13),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f1346])).
% 0.20/0.55 thf(f1346,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (((relr @ X3 @ X5) = $false) | ((reli @ sK13 @ X4) = $false) | ((reli @ X0 @ sK13) = $false) | ((sK0 @ X1) = $true) | ((relr @ X2 @ X0) = $false) | ($true = (sK0 @ X4)) | ($false = (reli @ sK13 @ X3)) | ($false = (reli @ sK13 @ X1)) | ($true = $false) | ($false = (reli @ sK13 @ X2)) | ((reli @ X5 @ sK13) = $false)) ) | ~spl2_13),
% 0.20/0.55 inference(superposition,[],[f315,f1339])).
% 0.20/0.55 thf(f1339,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (reli @ sK13 @ (sK15 @ X0))) | ($false = (reli @ sK13 @ X1)) | ((sK0 @ X2) = $true) | ($false = (relr @ X1 @ X3)) | ($false = (reli @ X0 @ X2)) | ($false = (reli @ X3 @ X0))) ) | ~spl2_13),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f1335])).
% 0.20/0.55 thf(f1335,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X2) = $true) | ($true = $false) | ($false = (reli @ X0 @ X2)) | ($false = (relr @ X1 @ X3)) | ($false = (reli @ sK13 @ (sK15 @ X0))) | ($false = (reli @ X3 @ X0)) | ($false = (reli @ sK13 @ X1))) ) | ~spl2_13),
% 0.20/0.55 inference(superposition,[],[f626,f316])).
% 0.20/0.55 thf(f316,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((princ_inj @ sK1 @ (sK15 @ X3)) = $false) | ($false = (reli @ sK13 @ X1)) | ($true = (sK0 @ X4)) | ((reli @ X2 @ X3) = $false) | ($false = (relr @ X1 @ X2)) | ((reli @ X3 @ X4) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f313])).
% 0.20/0.55 thf(f313,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((reli @ X2 @ X3) = $false) | ($false = (reli @ sK13 @ X1)) | ($true = ((reli @ X3 @ X4) => (sK0 @ X4))) | ($false = (relr @ X1 @ X2)) | ((princ_inj @ sK1 @ (sK15 @ X3)) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f312])).
% 0.20/0.55 thf(f312,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((reli @ X3 @ (sK15 @ X3)) => (princ_inj @ sK1 @ (sK15 @ X3)))) | ($true = ((reli @ X3 @ X4) => (sK0 @ X4))) | ($false = (reli @ sK13 @ X1)) | ((reli @ X2 @ X3) = $false) | ($false = (relr @ X1 @ X2))) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f311])).
% 0.20/0.55 thf(f311,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((reli @ X2 @ X3) = $false) | ($false = (reli @ sK13 @ X1)) | ($false = ((reli @ X3 @ (sK15 @ X3)) => (princ_inj @ sK1 @ (sK15 @ X3)))) | ($false = (relr @ X1 @ X2)) | ($true = ((^[Y0 : $i]: ((reli @ X3 @ Y0) => (sK0 @ Y0))) @ X4))) )),
% 0.20/0.55 inference(pi_clausification,[],[f310])).
% 0.20/0.55 thf(f310,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (relr @ X1 @ X2)) | ((reli @ X2 @ X3) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (sK0 @ Y0))))) | ($false = (reli @ sK13 @ X1)) | ($false = ((reli @ X3 @ (sK15 @ X3)) => (princ_inj @ sK1 @ (sK15 @ X3))))) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f309])).
% 0.20/0.55 thf(f309,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((reli @ X2 @ X3) = $false) | ($false = (relr @ X1 @ X2)) | ($false = (reli @ sK13 @ X1)) | ($false = ((^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK1 @ Y0))) @ (sK15 @ X3))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (sK0 @ Y0)))))) )),
% 0.20/0.55 inference(sigma_clausification,[],[f308])).
% 0.20/0.55 thf(f308,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK1 @ Y0))))) | ($false = (reli @ sK13 @ X1)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (sK0 @ Y0))))) | ((reli @ X2 @ X3) = $false) | ($false = (relr @ X1 @ X2))) )),
% 0.20/0.55 inference(not_proxy_clausification,[],[f307])).
% 0.20/0.55 thf(f307,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((reli @ X2 @ X3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK1 @ Y0))))) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (sK0 @ Y0))))) | ($false = (reli @ sK13 @ X1)) | ($false = (relr @ X1 @ X2))) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f306])).
% 0.20/0.55 thf(f306,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (relr @ X1 @ X2)) | ((reli @ X2 @ X3) = $false) | ($false = (reli @ sK13 @ X1)) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (sK0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK1 @ Y0)))))))) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f305])).
% 0.20/0.55 thf(f305,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (reli @ sK13 @ X1)) | ($true = ((reli @ X2 @ X3) => ((!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (sK0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK1 @ Y0)))))))) | ($false = (relr @ X1 @ X2))) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f304])).
% 0.20/0.55 thf(f304,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: ((reli @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK1 @ Y1)))))))) @ X3) = $true) | ($false = (relr @ X1 @ X2)) | ($false = (reli @ sK13 @ X1))) )),
% 0.20/0.55 inference(pi_clausification,[],[f303])).
% 0.20/0.55 thf(f303,plain,(
% 0.20/0.55 ( ! [X2 : $i,X1 : $i] : (($false = (relr @ X1 @ X2)) | ($false = (reli @ sK13 @ X1)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK1 @ Y1))))))))))) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f302])).
% 0.20/0.55 thf(f302,plain,(
% 0.20/0.55 ( ! [X2 : $i,X1 : $i] : (($false = (reli @ sK13 @ X1)) | (((relr @ X1 @ X2) => (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK1 @ Y1)))))))))) = $true)) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f301])).
% 0.20/0.55 thf(f301,plain,(
% 0.20/0.55 ( ! [X2 : $i,X1 : $i] : (($false = (reli @ sK13 @ X1)) | ($true = ((^[Y0 : $i]: ((relr @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK1 @ Y2))))))))))) @ X2))) )),
% 0.20/0.55 inference(pi_clausification,[],[f300])).
% 0.20/0.55 thf(f300,plain,(
% 0.20/0.55 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((relr @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK1 @ Y2)))))))))))) = $true) | ($false = (reli @ sK13 @ X1))) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f299])).
% 0.20/0.55 thf(f299,plain,(
% 0.20/0.55 ( ! [X1 : $i] : (($true = ((reli @ sK13 @ X1) => (!! @ $i @ (^[Y0 : $i]: ((relr @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK1 @ Y2))))))))))))))) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f298])).
% 0.20/0.55 thf(f298,plain,(
% 0.20/0.55 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((reli @ sK13 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK0 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK1 @ Y3)))))))))))))) @ X1) = $true)) )),
% 0.20/0.55 inference(pi_clausification,[],[f297])).
% 0.20/0.55 thf(f297,plain,(
% 0.20/0.55 ((!! @ $i @ (^[Y0 : $i]: ((reli @ sK13 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK0 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK1 @ Y3))))))))))))))) = $true)),
% 0.20/0.55 inference(not_proxy_clausification,[],[f291])).
% 0.20/0.55 thf(f291,plain,(
% 0.20/0.55 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK13 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK0 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK1 @ Y3)))))))))))))))))),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f289])).
% 0.20/0.55 thf(f626,plain,(
% 0.20/0.55 ( ! [X0 : $i] : (($true = (princ_inj @ sK1 @ X0)) | ((reli @ sK13 @ X0) = $false)) ) | ~spl2_13),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f615])).
% 0.20/0.55 thf(f615,plain,(
% 0.20/0.55 ( ! [X0 : $i] : (($true = $false) | ($true = (princ_inj @ sK1 @ X0)) | ((reli @ sK13 @ X0) = $false)) ) | ~spl2_13),
% 0.20/0.55 inference(superposition,[],[f599,f290])).
% 0.20/0.55 thf(f290,plain,(
% 0.20/0.55 ((reli @ sK12 @ sK13) = $true)),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f288])).
% 0.20/0.55 thf(f599,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i] : (($false = (reli @ sK12 @ X3)) | ((princ_inj @ sK1 @ X2) = $true) | ($false = (reli @ X3 @ X2))) ) | ~spl2_13),
% 0.20/0.55 inference(avatar_component_clause,[],[f598])).
% 0.20/0.55 thf(f315,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (reli @ X3 @ (sK15 @ X3))) | ((reli @ X2 @ X3) = $false) | ($true = (sK0 @ X4)) | ($false = (reli @ sK13 @ X1)) | ((reli @ X3 @ X4) = $false) | ($false = (relr @ X1 @ X2))) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f314])).
% 0.20/0.55 thf(f314,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (relr @ X1 @ X2)) | ($true = (reli @ X3 @ (sK15 @ X3))) | ((reli @ X2 @ X3) = $false) | ($true = ((reli @ X3 @ X4) => (sK0 @ X4))) | ($false = (reli @ sK13 @ X1))) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f312])).
% 0.20/0.55 thf(f609,plain,(
% 0.20/0.55 spl2_13 | spl2_13),
% 0.20/0.55 inference(avatar_split_clause,[],[f592,f598,f598])).
% 0.20/0.55 thf(f592,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (princ_inj @ sK1 @ X0)) | ($false = (reli @ X1 @ X0)) | ($false = (reli @ sK12 @ X1)) | ($false = (reli @ sK12 @ X2)) | ((reli @ X2 @ X3) = $false) | ($true = (princ_inj @ sK1 @ X3))) )),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f589])).
% 0.20/0.55 thf(f589,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (princ_inj @ sK1 @ X3)) | ($false = (reli @ sK12 @ X2)) | ($true = (princ_inj @ sK1 @ X0)) | ($true = $false) | ($false = (reli @ sK12 @ X1)) | ((reli @ X2 @ X3) = $false) | ($false = (reli @ X1 @ X0))) )),
% 0.20/0.55 inference(superposition,[],[f200,f516])).
% 0.20/0.55 thf(f516,plain,(
% 0.20/0.55 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((reli @ sK12 @ (sK3 @ X0 @ (princ_inj @ sK1))) = $false) | ($false = (reli @ X1 @ X2)) | ($false = (reli @ X0 @ X1)) | ((princ_inj @ sK1 @ X2) = $true)) )),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f504])).
% 0.20/0.55 thf(f504,plain,(
% 0.20/0.55 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (reli @ X0 @ X1)) | ((reli @ sK12 @ (sK3 @ X0 @ (princ_inj @ sK1))) = $false) | ($true = $false) | ((princ_inj @ sK1 @ X2) = $true) | ($false = (reli @ X1 @ X2))) )),
% 0.20/0.55 inference(superposition,[],[f320,f199])).
% 0.20/0.55 thf(f199,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (((X0 @ (sK3 @ X1 @ X0)) = $false) | ($false = (reli @ X1 @ X2)) | ((reli @ X2 @ X3) = $false) | ((X0 @ X3) = $true)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f198])).
% 0.20/0.55 thf(f198,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($false = ((reli @ X1 @ (sK3 @ X1 @ X0)) => (X0 @ (sK3 @ X1 @ X0)))) | ($false = (reli @ X1 @ X2)) | ((X0 @ X3) = $true) | ((reli @ X2 @ X3) = $false)) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f197])).
% 0.20/0.55 thf(f197,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($false = ((^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0))) @ (sK3 @ X1 @ X0))) | ((reli @ X2 @ X3) = $false) | ($false = (reli @ X1 @ X2)) | ((X0 @ X3) = $true)) )),
% 0.20/0.55 inference(sigma_clausification,[],[f196])).
% 0.20/0.55 thf(f196,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (((X0 @ X3) = $true) | ((reli @ X2 @ X3) = $false) | ($false = (reli @ X1 @ X2)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0)))))) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f195])).
% 0.20/0.55 thf(f195,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($true = ((reli @ X2 @ X3) => (X0 @ X3))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0))))) | ($false = (reli @ X1 @ X2))) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f194])).
% 0.20/0.55 thf(f194,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($false = (reli @ X1 @ X2)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0))))) | ($true = ((^[Y0 : $i]: ((reli @ X2 @ Y0) => (X0 @ Y0))) @ X3))) )),
% 0.20/0.55 inference(pi_clausification,[],[f193])).
% 0.20/0.55 thf(f193,plain,(
% 0.20/0.55 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => (X0 @ Y0))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0))))) | ($false = (reli @ X1 @ X2))) )),
% 0.20/0.55 inference(not_proxy_clausification,[],[f192])).
% 0.20/0.55 thf(f192,plain,(
% 0.20/0.55 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($false = (reli @ X1 @ X2)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0)))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => (X0 @ Y0)))))) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f191])).
% 0.20/0.55 thf(f191,plain,(
% 0.20/0.55 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : ((((reli @ X1 @ X2) => (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => (X0 @ Y0))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0))))))) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f190])).
% 0.20/0.55 thf(f190,plain,(
% 0.20/0.55 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0)))))) | ($true = ((^[Y0 : $i]: ((reli @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (X0 @ Y1)))))) @ X2))) )),
% 0.20/0.55 inference(pi_clausification,[],[f189])).
% 0.20/0.55 thf(f189,plain,(
% 0.20/0.55 ( ! [X0 : $i > $o,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (X0 @ Y1)))))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0))))))) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f188])).
% 0.20/0.55 thf(f188,plain,(
% 0.20/0.55 ( ! [X0 : $i > $o,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (X0 @ Y1))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0)))))))) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f187])).
% 0.20/0.55 thf(f187,plain,(
% 0.20/0.55 ( ! [X0 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (X0 @ Y2))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (X0 @ Y1))))))) @ X1))) )),
% 0.20/0.55 inference(pi_clausification,[],[f186])).
% 0.20/0.55 thf(f186,plain,(
% 0.20/0.55 ( ! [X0 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (X0 @ Y2))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (X0 @ Y1)))))))))) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f179])).
% 0.20/0.55 thf(f179,plain,(
% 0.20/0.55 ( ! [X0 : $i > $o] : (($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ reli @ X0) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ reli @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ reli @ X0)))))) )),
% 0.20/0.55 inference(definition_unfolding,[],[f124,f129,f158,f133,f133,f133])).
% 0.20/0.55 thf(f124,plain,(
% 0.20/0.55 ( ! [X0 : $i > $o] : (($true = (mvalid @ (mimpl @ (mbox @ reli @ X0) @ (mbox @ reli @ (mbox @ reli @ X0)))))) )),
% 0.20/0.55 inference(cnf_transformation,[],[f90])).
% 0.20/0.55 thf(f90,plain,(
% 0.20/0.55 ! [X0 : $i > $o] : ($true = (mvalid @ (mimpl @ (mbox @ reli @ X0) @ (mbox @ reli @ (mbox @ reli @ X0)))))),
% 0.20/0.55 inference(fool_elimination,[],[f89])).
% 0.20/0.55 thf(f89,plain,(
% 0.20/0.55 ! [X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ reli @ X0) @ (mbox @ reli @ (mbox @ reli @ X0))))),
% 0.20/0.55 inference(rectify,[],[f27])).
% 0.20/0.55 thf(f27,axiom,(
% 0.20/0.55 ! [X7 : $i > $o] : (mvalid @ (mimpl @ (mbox @ reli @ X7) @ (mbox @ reli @ (mbox @ reli @ X7))))),
% 0.20/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_axiom_i)).
% 0.20/0.55 thf(f320,plain,(
% 0.20/0.55 ( ! [X1 : $i] : (($true = (princ_inj @ sK1 @ X1)) | ($false = (reli @ sK12 @ X1))) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f319])).
% 0.20/0.55 thf(f319,plain,(
% 0.20/0.55 ( ! [X1 : $i] : (($true = ((reli @ sK12 @ X1) => (princ_inj @ sK1 @ X1)))) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f318])).
% 0.20/0.55 thf(f318,plain,(
% 0.20/0.55 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((reli @ sK12 @ Y0) => (princ_inj @ sK1 @ Y0))) @ X1))) )),
% 0.20/0.55 inference(pi_clausification,[],[f317])).
% 0.20/0.55 thf(f317,plain,(
% 0.20/0.55 ((!! @ $i @ (^[Y0 : $i]: ((reli @ sK12 @ Y0) => (princ_inj @ sK1 @ Y0)))) = $true)),
% 0.20/0.55 inference(not_proxy_clausification,[],[f285])).
% 0.20/0.55 thf(f285,plain,(
% 0.20/0.55 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK12 @ Y0) => (princ_inj @ sK1 @ Y0))))))),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f283])).
% 0.20/0.55 thf(f200,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (((reli @ X1 @ (sK3 @ X1 @ X0)) = $true) | ((X0 @ X3) = $true) | ((reli @ X2 @ X3) = $false) | ($false = (reli @ X1 @ X2))) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f198])).
% 0.20/0.55 % SZS output end Proof for theBenchmark
% 0.20/0.55 % (25081)------------------------------
% 0.20/0.55 % (25081)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.55 % (25081)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (25081)Memory used [KB]: 6652
% 0.20/0.55 % (25081)Time elapsed: 0.108 s
% 0.20/0.55 % (25081)Instructions burned: 244 (million)
% 0.20/0.55 % (25081)------------------------------
% 0.20/0.55 % (25081)------------------------------
% 0.20/0.55 % (25053)Success in time 0.184 s
% 0.20/0.55 % Vampire---4.8 exiting
%------------------------------------------------------------------------------