TSTP Solution File: SWV445^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV445^1 : TPTP v8.1.2. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n012.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 : Sun May 5 10:34:38 EDT 2024
% Result : Theorem 2.27s 0.65s
% Output : Refutation 2.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV445^1 : TPTP v8.1.2. Released v3.7.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 20:59:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.Uj9RpnQn0m/Vampire---4.8_31496
% 0.14/0.38 % (31606)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 Vampire---4 for (2999ds/4Mi)
% 0.14/0.38 % (31608)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.38 % (31611)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.14/0.38 % (31605)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.14/0.38 % (31610)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.14/0.38 % (31607)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 Vampire---4 for (2999ds/27Mi)
% 0.14/0.38 % (31609)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.38 % (31612)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.14/0.38 % (31608)Instruction limit reached!
% 0.14/0.38 % (31608)------------------------------
% 0.14/0.38 % (31608)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (31609)Instruction limit reached!
% 0.14/0.38 % (31609)------------------------------
% 0.14/0.38 % (31609)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (31609)Termination reason: Unknown
% 0.14/0.38 % (31609)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (31609)Memory used [KB]: 1023
% 0.14/0.38 % (31609)Time elapsed: 0.004 s
% 0.14/0.38 % (31609)Instructions burned: 3 (million)
% 0.14/0.38 % (31609)------------------------------
% 0.14/0.38 % (31609)------------------------------
% 0.14/0.38 % (31608)Termination reason: Unknown
% 0.14/0.38 % (31608)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (31608)Memory used [KB]: 1023
% 0.14/0.38 % (31608)Time elapsed: 0.004 s
% 0.14/0.38 % (31608)Instructions burned: 3 (million)
% 0.14/0.38 % (31608)------------------------------
% 0.14/0.38 % (31608)------------------------------
% 0.14/0.38 % (31612)Instruction limit reached!
% 0.14/0.38 % (31612)------------------------------
% 0.14/0.38 % (31612)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (31612)Termination reason: Unknown
% 0.14/0.38 % (31612)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (31612)Memory used [KB]: 1023
% 0.14/0.38 % (31612)Time elapsed: 0.004 s
% 0.14/0.38 % (31612)Instructions burned: 3 (million)
% 0.14/0.38 % (31612)------------------------------
% 0.14/0.38 % (31612)------------------------------
% 0.14/0.38 % (31606)Instruction limit reached!
% 0.14/0.38 % (31606)------------------------------
% 0.14/0.38 % (31606)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (31606)Termination reason: Unknown
% 0.14/0.38 % (31606)Termination phase: Preprocessing 3
% 0.14/0.38
% 0.14/0.38 % (31606)Memory used [KB]: 1023
% 0.14/0.38 % (31606)Time elapsed: 0.004 s
% 0.14/0.38 % (31606)Instructions burned: 4 (million)
% 0.14/0.38 % (31606)------------------------------
% 0.14/0.38 % (31606)------------------------------
% 0.14/0.38 % (31610)Refutation not found, incomplete strategy
% 0.14/0.38 % (31610)------------------------------
% 0.14/0.38 % (31610)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (31610)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % (31610)Memory used [KB]: 5500
% 0.14/0.38 % (31610)Time elapsed: 0.006 s
% 0.14/0.38 % (31610)Instructions burned: 6 (million)
% 0.14/0.38 % (31610)------------------------------
% 0.14/0.38 % (31610)------------------------------
% 0.14/0.39 % (31611)Instruction limit reached!
% 0.14/0.39 % (31611)------------------------------
% 0.14/0.39 % (31611)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (31611)Termination reason: Unknown
% 0.14/0.39 % (31611)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (31611)Memory used [KB]: 5628
% 0.14/0.39 % (31611)Time elapsed: 0.012 s
% 0.14/0.39 % (31611)Instructions burned: 20 (million)
% 0.14/0.39 % (31611)------------------------------
% 0.14/0.39 % (31611)------------------------------
% 0.14/0.39 % (31607)Instruction limit reached!
% 0.14/0.39 % (31607)------------------------------
% 0.14/0.39 % (31607)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (31607)Termination reason: Unknown
% 0.14/0.39 % (31607)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (31607)Memory used [KB]: 5628
% 0.14/0.39 % (31607)Time elapsed: 0.015 s
% 0.14/0.39 % (31607)Instructions burned: 27 (million)
% 0.14/0.39 % (31607)------------------------------
% 0.14/0.39 % (31607)------------------------------
% 0.14/0.39 % (31613)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 Vampire---4 for (2999ds/37Mi)
% 0.14/0.39 % (31614)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 Vampire---4 for (2999ds/15Mi)
% 0.14/0.39 % (31615)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.14/0.39 % (31616)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 Vampire---4 for (2999ds/1041Mi)
% 0.14/0.39 % (31615)Instruction limit reached!
% 0.14/0.39 % (31615)------------------------------
% 0.14/0.39 % (31615)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (31615)Termination reason: Unknown
% 0.14/0.39 % (31615)Termination phase: Property scanning
% 0.14/0.39
% 0.14/0.39 % (31615)Memory used [KB]: 1023
% 0.14/0.39 % (31615)Time elapsed: 0.004 s
% 0.14/0.39 % (31615)Instructions burned: 4 (million)
% 0.14/0.39 % (31615)------------------------------
% 0.14/0.39 % (31615)------------------------------
% 0.14/0.40 % (31617)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.14/0.40 % (31617)Instruction limit reached!
% 0.14/0.40 % (31617)------------------------------
% 0.14/0.40 % (31617)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (31617)Termination reason: Unknown
% 0.14/0.40 % (31617)Termination phase: Function definition elimination
% 0.14/0.40
% 0.14/0.40 % (31617)Memory used [KB]: 1023
% 0.14/0.40 % (31617)Time elapsed: 0.006 s
% 0.14/0.40 % (31617)Instructions burned: 7 (million)
% 0.14/0.40 % (31617)------------------------------
% 0.14/0.40 % (31617)------------------------------
% 0.14/0.40 % (31614)Instruction limit reached!
% 0.14/0.40 % (31614)------------------------------
% 0.14/0.40 % (31614)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (31614)Termination reason: Unknown
% 0.14/0.40 % (31614)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (31614)Memory used [KB]: 5628
% 0.14/0.40 % (31614)Time elapsed: 0.010 s
% 0.14/0.40 % (31614)Instructions burned: 16 (million)
% 0.14/0.40 % (31614)------------------------------
% 0.14/0.40 % (31614)------------------------------
% 0.14/0.40 % (31618)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.14/0.40 % (31619)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 Vampire---4 for (2999ds/3Mi)
% 0.14/0.41 % (31619)Instruction limit reached!
% 0.14/0.41 % (31619)------------------------------
% 0.14/0.41 % (31619)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (31619)Termination reason: Unknown
% 0.14/0.41 % (31619)Termination phase: shuffling
% 0.14/0.41
% 0.14/0.41 % (31619)Memory used [KB]: 1023
% 0.14/0.41 % (31619)Time elapsed: 0.004 s
% 0.14/0.41 % (31619)Instructions burned: 3 (million)
% 0.14/0.41 % (31619)------------------------------
% 0.14/0.41 % (31619)------------------------------
% 0.14/0.41 % (31618)Instruction limit reached!
% 0.14/0.41 % (31618)------------------------------
% 0.14/0.41 % (31618)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (31620)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 Vampire---4 for (2999ds/3Mi)
% 0.14/0.41 % (31618)Termination reason: Unknown
% 0.14/0.41 % (31618)Termination phase: Saturation
% 0.14/0.41
% 0.14/0.41 % (31618)Memory used [KB]: 5628
% 0.14/0.41 % (31618)Time elapsed: 0.011 s
% 0.14/0.41 % (31618)Instructions burned: 17 (million)
% 0.14/0.41 % (31618)------------------------------
% 0.14/0.41 % (31618)------------------------------
% 0.14/0.41 % (31620)Instruction limit reached!
% 0.14/0.41 % (31620)------------------------------
% 0.14/0.41 % (31620)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (31620)Termination reason: Unknown
% 0.14/0.41 % (31620)Termination phase: Property scanning
% 0.14/0.41
% 0.14/0.41 % (31620)Memory used [KB]: 1023
% 0.14/0.41 % (31620)Time elapsed: 0.004 s
% 0.14/0.41 % (31620)Instructions burned: 4 (million)
% 0.14/0.41 % (31620)------------------------------
% 0.14/0.41 % (31620)------------------------------
% 0.14/0.41 % (31613)Instruction limit reached!
% 0.14/0.41 % (31613)------------------------------
% 0.14/0.41 % (31613)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (31613)Termination reason: Unknown
% 0.14/0.41 % (31613)Termination phase: Saturation
% 0.14/0.41
% 0.14/0.41 % (31613)Memory used [KB]: 5884
% 0.14/0.41 % (31613)Time elapsed: 0.022 s
% 0.14/0.41 % (31613)Instructions burned: 38 (million)
% 0.14/0.41 % (31613)------------------------------
% 0.14/0.41 % (31613)------------------------------
% 0.14/0.41 % (31621)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.14/0.41 % (31622)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.14/0.42 % (31622)Instruction limit reached!
% 0.14/0.42 % (31622)------------------------------
% 0.14/0.42 % (31622)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (31622)Termination reason: Unknown
% 0.14/0.42 % (31622)Termination phase: Property scanning
% 0.14/0.42
% 0.14/0.42 % (31622)Memory used [KB]: 1023
% 0.14/0.42 % (31622)Time elapsed: 0.004 s
% 0.14/0.42 % (31622)Instructions burned: 4 (million)
% 0.14/0.42 % (31622)------------------------------
% 0.14/0.42 % (31622)------------------------------
% 0.14/0.42 % (31621)Instruction limit reached!
% 0.14/0.42 % (31621)------------------------------
% 0.14/0.42 % (31621)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (31621)Termination reason: Unknown
% 0.14/0.42 % (31621)Termination phase: Property scanning
% 0.14/0.42
% 0.14/0.42 % (31621)Memory used [KB]: 1023
% 0.14/0.42 % (31621)Time elapsed: 0.006 s
% 0.14/0.42 % (31621)Instructions burned: 8 (million)
% 0.14/0.42 % (31621)------------------------------
% 0.14/0.42 % (31621)------------------------------
% 0.14/0.42 % (31623)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.14/0.42 % (31623)Instruction limit reached!
% 0.14/0.42 % (31623)------------------------------
% 0.14/0.42 % (31623)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (31623)Termination reason: Unknown
% 0.14/0.42 % (31623)Termination phase: Property scanning
% 0.14/0.42
% 0.14/0.42 % (31623)Memory used [KB]: 1023
% 0.14/0.42 % (31623)Time elapsed: 0.004 s
% 0.14/0.42 % (31623)Instructions burned: 4 (million)
% 0.14/0.42 % (31623)------------------------------
% 0.14/0.42 % (31623)------------------------------
% 0.14/0.42 % (31624)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.14/0.43 % (31625)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.14/0.43 % (31626)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.20/0.43 % (31625)Refutation not found, incomplete strategy
% 0.20/0.43 % (31625)------------------------------
% 0.20/0.43 % (31625)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (31625)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.43
% 0.20/0.43
% 0.20/0.43 % (31625)Memory used [KB]: 5500
% 0.20/0.43 % (31625)Time elapsed: 0.006 s
% 0.20/0.43 % (31625)Instructions burned: 7 (million)
% 0.20/0.43 % (31625)------------------------------
% 0.20/0.43 % (31625)------------------------------
% 0.20/0.43 % (31626)Instruction limit reached!
% 0.20/0.43 % (31626)------------------------------
% 0.20/0.43 % (31626)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (31626)Termination reason: Unknown
% 0.20/0.43 % (31626)Termination phase: Property scanning
% 0.20/0.43
% 0.20/0.43 % (31626)Memory used [KB]: 1023
% 0.20/0.43 % (31626)Time elapsed: 0.006 s
% 0.20/0.43 % (31626)Instructions burned: 8 (million)
% 0.20/0.43 % (31626)------------------------------
% 0.20/0.43 % (31626)------------------------------
% 0.20/0.43 % (31627)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 Vampire---4 for (2999ds/902Mi)
% 0.20/0.43 % (31628)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 Vampire---4 for (2999ds/21Mi)
% 0.20/0.44 % (31624)Instruction limit reached!
% 0.20/0.44 % (31624)------------------------------
% 0.20/0.44 % (31624)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (31624)Termination reason: Unknown
% 0.20/0.44 % (31624)Termination phase: Saturation
% 0.20/0.44
% 0.20/0.44 % (31624)Memory used [KB]: 5628
% 0.20/0.44 % (31624)Time elapsed: 0.039 s
% 0.20/0.44 % (31624)Instructions burned: 19 (million)
% 0.20/0.44 % (31624)------------------------------
% 0.20/0.44 % (31624)------------------------------
% 0.20/0.44 % (31627)Refutation not found, incomplete strategy
% 0.20/0.44 % (31627)------------------------------
% 0.20/0.44 % (31627)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (31627)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 % (31627)Memory used [KB]: 5628
% 0.20/0.44 % (31627)Time elapsed: 0.007 s
% 0.20/0.44 % (31627)Instructions burned: 7 (million)
% 0.20/0.44 % (31627)------------------------------
% 0.20/0.44 % (31627)------------------------------
% 0.20/0.44 % (31629)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.20/0.44 % (31629)Instruction limit reached!
% 0.20/0.44 % (31629)------------------------------
% 0.20/0.44 % (31629)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (31629)Termination reason: Unknown
% 0.20/0.44 % (31629)Termination phase: Function definition elimination
% 0.20/0.44
% 0.20/0.44 % (31629)Memory used [KB]: 1023
% 0.20/0.44 % (31629)Time elapsed: 0.005 s
% 0.20/0.44 % (31629)Instructions burned: 6 (million)
% 0.20/0.44 % (31629)------------------------------
% 0.20/0.44 % (31629)------------------------------
% 0.20/0.44 % (31628)Instruction limit reached!
% 0.20/0.44 % (31628)------------------------------
% 0.20/0.44 % (31628)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (31628)Termination reason: Unknown
% 0.20/0.44 % (31628)Termination phase: Saturation
% 0.20/0.44
% 0.20/0.44 % (31628)Memory used [KB]: 5628
% 0.20/0.44 % (31628)Time elapsed: 0.013 s
% 0.20/0.44 % (31628)Instructions burned: 21 (million)
% 0.20/0.44 % (31628)------------------------------
% 0.20/0.44 % (31628)------------------------------
% 0.20/0.44 % (31630)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 Vampire---4 for (2999ds/6Mi)
% 0.20/0.45 % (31631)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2999ds/377Mi)
% 0.20/0.45 % (31630)Instruction limit reached!
% 0.20/0.45 % (31630)------------------------------
% 0.20/0.45 % (31630)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (31630)Termination reason: Unknown
% 0.20/0.45 % (31630)Termination phase: Function definition elimination
% 0.20/0.45
% 0.20/0.45 % (31630)Memory used [KB]: 1023
% 0.20/0.45 % (31630)Time elapsed: 0.005 s
% 0.20/0.45 % (31630)Instructions burned: 6 (million)
% 0.20/0.45 % (31630)------------------------------
% 0.20/0.45 % (31630)------------------------------
% 0.20/0.45 % (31632)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 Vampire---4 for (2999ds/779Mi)
% 0.20/0.45 % (31633)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 Vampire---4 for (2999ds/19Mi)
% 0.20/0.45 % (31634)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on Vampire---4 for (2999ds/879Mi)
% 0.20/0.46 % (31633)Refutation not found, incomplete strategy
% 0.20/0.46 % (31633)------------------------------
% 0.20/0.46 % (31633)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (31633)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.46
% 0.20/0.46
% 0.20/0.46 % (31633)Memory used [KB]: 5628
% 0.20/0.46 % (31633)Time elapsed: 0.008 s
% 0.20/0.46 % (31633)Instructions burned: 11 (million)
% 0.20/0.46 % (31633)------------------------------
% 0.20/0.46 % (31633)------------------------------
% 0.20/0.46 % (31635)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2999ds/17Mi)
% 0.20/0.46 % (31636)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.20/0.46 % (31636)Instruction limit reached!
% 0.20/0.46 % (31636)------------------------------
% 0.20/0.46 % (31636)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (31636)Termination reason: Unknown
% 0.20/0.46 % (31636)Termination phase: shuffling
% 0.20/0.46
% 0.20/0.46 % (31636)Memory used [KB]: 1023
% 0.20/0.46 % (31636)Time elapsed: 0.003 s
% 0.20/0.46 % (31636)Instructions burned: 3 (million)
% 0.20/0.46 % (31636)------------------------------
% 0.20/0.46 % (31636)------------------------------
% 0.20/0.47 % (31635)Instruction limit reached!
% 0.20/0.47 % (31635)------------------------------
% 0.20/0.47 % (31635)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47 % (31635)Termination reason: Unknown
% 0.20/0.47 % (31635)Termination phase: Saturation
% 0.20/0.47
% 0.20/0.47 % (31635)Memory used [KB]: 5628
% 0.20/0.47 % (31635)Time elapsed: 0.010 s
% 0.20/0.47 % (31635)Instructions burned: 17 (million)
% 0.20/0.47 % (31635)------------------------------
% 0.20/0.47 % (31635)------------------------------
% 0.20/0.47 % (31637)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2998ds/30Mi)
% 0.20/0.47 % (31638)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2998ds/127Mi)
% 0.20/0.48 % (31639)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on Vampire---4 for (2998ds/100Mi)
% 0.20/0.48 % (31637)Instruction limit reached!
% 0.20/0.48 % (31637)------------------------------
% 0.20/0.48 % (31637)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48 % (31637)Termination reason: Unknown
% 0.20/0.48 % (31637)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (31637)Memory used [KB]: 5628
% 0.20/0.48 % (31637)Time elapsed: 0.011 s
% 0.20/0.48 % (31637)Instructions burned: 30 (million)
% 0.20/0.48 % (31637)------------------------------
% 0.20/0.48 % (31637)------------------------------
% 0.20/0.48 % (31605)Instruction limit reached!
% 0.20/0.48 % (31605)------------------------------
% 0.20/0.48 % (31605)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48 % (31605)Termination reason: Unknown
% 0.20/0.48 % (31605)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (31605)Memory used [KB]: 6908
% 0.20/0.48 % (31605)Time elapsed: 0.108 s
% 0.20/0.48 % (31605)Instructions burned: 183 (million)
% 0.20/0.48 % (31605)------------------------------
% 0.20/0.48 % (31605)------------------------------
% 0.20/0.49 % (31640)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 Vampire---4 for (2998ds/3Mi)
% 0.20/0.49 % (31640)Instruction limit reached!
% 0.20/0.49 % (31640)------------------------------
% 0.20/0.49 % (31640)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.49 % (31640)Termination reason: Unknown
% 0.20/0.49 % (31640)Termination phase: shuffling
% 0.20/0.49
% 0.20/0.49 % (31640)Memory used [KB]: 1023
% 0.20/0.49 % (31640)Time elapsed: 0.002 s
% 0.20/0.49 % (31640)Instructions burned: 3 (million)
% 0.20/0.49 % (31640)------------------------------
% 0.20/0.49 % (31640)------------------------------
% 0.20/0.49 % (31641)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 Vampire---4 for (2998ds/20Mi)
% 0.20/0.50 % (31641)Refutation not found, incomplete strategy
% 0.20/0.50 % (31641)------------------------------
% 0.20/0.50 % (31641)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.50 % (31641)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50
% 0.20/0.50
% 0.20/0.50 % (31641)Memory used [KB]: 5628
% 0.20/0.50 % (31641)Time elapsed: 0.005 s
% 0.20/0.50 % (31641)Instructions burned: 11 (million)
% 0.20/0.50 % (31641)------------------------------
% 0.20/0.50 % (31641)------------------------------
% 0.20/0.50 % (31642)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 Vampire---4 for (2998ds/86Mi)
% 0.20/0.50 % (31643)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 Vampire---4 for (2998ds/107Mi)
% 0.20/0.51 % (31639)Instruction limit reached!
% 0.20/0.51 % (31639)------------------------------
% 0.20/0.51 % (31639)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.51 % (31639)Termination reason: Unknown
% 0.20/0.51 % (31639)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (31639)Memory used [KB]: 6012
% 0.20/0.51 % (31639)Time elapsed: 0.035 s
% 0.20/0.51 % (31639)Instructions burned: 102 (million)
% 0.20/0.51 % (31639)------------------------------
% 0.20/0.51 % (31639)------------------------------
% 0.20/0.51 % (31643)Refutation not found, incomplete strategy
% 0.20/0.51 % (31643)------------------------------
% 0.20/0.51 % (31643)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.51 % (31643)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51
% 0.20/0.51 % (31643)Memory used [KB]: 5628
% 0.20/0.51 % (31643)Time elapsed: 0.008 s
% 0.20/0.51 % (31643)Instructions burned: 23 (million)
% 0.20/0.51 % (31643)------------------------------
% 0.20/0.51 % (31643)------------------------------
% 0.20/0.52 % (31638)Instruction limit reached!
% 0.20/0.52 % (31638)------------------------------
% 0.20/0.52 % (31638)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.52 % (31638)Termination reason: Unknown
% 0.20/0.52 % (31638)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (31638)Memory used [KB]: 6140
% 0.20/0.52 % (31638)Time elapsed: 0.045 s
% 0.20/0.52 % (31638)Instructions burned: 129 (million)
% 0.20/0.52 % (31638)------------------------------
% 0.20/0.52 % (31638)------------------------------
% 0.20/0.52 % (31644)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 Vampire---4 for (2998ds/39Mi)
% 0.20/0.52 % (31645)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 Vampire---4 for (2998ds/448Mi)
% 0.20/0.53 % (31646)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 Vampire---4 for (2998ds/46Mi)
% 0.20/0.53 % (31645)Refutation not found, incomplete strategy
% 0.20/0.53 % (31645)------------------------------
% 0.20/0.53 % (31645)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.53 % (31645)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53
% 0.20/0.53 % (31645)Memory used [KB]: 5628
% 0.20/0.53 % (31645)Time elapsed: 0.006 s
% 0.20/0.53 % (31645)Instructions burned: 15 (million)
% 0.20/0.53 % (31645)------------------------------
% 0.20/0.53 % (31645)------------------------------
% 0.20/0.53 % (31642)Instruction limit reached!
% 0.20/0.53 % (31642)------------------------------
% 0.20/0.53 % (31642)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.53 % (31642)Termination reason: Unknown
% 0.20/0.53 % (31642)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (31642)Memory used [KB]: 6140
% 0.20/0.53 % (31642)Time elapsed: 0.030 s
% 0.20/0.53 % (31642)Instructions burned: 88 (million)
% 0.20/0.53 % (31642)------------------------------
% 0.20/0.53 % (31642)------------------------------
% 0.20/0.53 % (31644)Instruction limit reached!
% 0.20/0.53 % (31644)------------------------------
% 0.20/0.53 % (31644)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.53 % (31644)Termination reason: Unknown
% 0.20/0.53 % (31644)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (31644)Memory used [KB]: 5884
% 0.20/0.53 % (31644)Time elapsed: 0.013 s
% 0.20/0.53 % (31644)Instructions burned: 40 (million)
% 0.20/0.53 % (31644)------------------------------
% 0.20/0.53 % (31644)------------------------------
% 0.20/0.54 % (31648)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 Vampire---4 for (2998ds/507Mi)
% 0.20/0.54 % (31647)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 Vampire---4 for (2998ds/98Mi)
% 0.20/0.54 % (31649)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 Vampire---4 for (2998ds/149Mi)
% 0.20/0.54 % (31648)Refutation not found, incomplete strategy
% 0.20/0.54 % (31648)------------------------------
% 0.20/0.54 % (31648)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.54 % (31648)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54
% 0.20/0.54 % (31648)Memory used [KB]: 5628
% 0.20/0.54 % (31648)Time elapsed: 0.007 s
% 0.20/0.54 % (31648)Instructions burned: 21 (million)
% 0.20/0.54 % (31648)------------------------------
% 0.20/0.54 % (31648)------------------------------
% 0.20/0.54 % (31646)Instruction limit reached!
% 0.20/0.54 % (31646)------------------------------
% 0.20/0.54 % (31646)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.54 % (31646)Termination reason: Unknown
% 0.20/0.54 % (31646)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (31646)Memory used [KB]: 5756
% 0.20/0.54 % (31646)Time elapsed: 0.019 s
% 0.20/0.54 % (31646)Instructions burned: 47 (million)
% 0.20/0.54 % (31646)------------------------------
% 0.20/0.54 % (31646)------------------------------
% 0.20/0.55 % (31650)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (2998ds/39Mi)
% 0.20/0.55 % (31651)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 Vampire---4 for (2998ds/6Mi)
% 0.20/0.55 % (31651)Instruction limit reached!
% 0.20/0.55 % (31651)------------------------------
% 0.20/0.55 % (31651)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.55 % (31651)Termination reason: Unknown
% 0.20/0.55 % (31651)Termination phase: shuffling
% 0.20/0.55
% 0.20/0.55 % (31651)Memory used [KB]: 1023
% 0.20/0.55 % (31651)Time elapsed: 0.003 s
% 0.20/0.55 % (31651)Instructions burned: 7 (million)
% 0.20/0.55 % (31651)------------------------------
% 0.20/0.55 % (31651)------------------------------
% 0.20/0.56 % (31650)Instruction limit reached!
% 0.20/0.56 % (31650)------------------------------
% 0.20/0.56 % (31650)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.56 % (31650)Termination reason: Unknown
% 0.20/0.56 % (31650)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (31650)Memory used [KB]: 5756
% 0.20/0.56 % (31650)Time elapsed: 0.013 s
% 0.20/0.56 % (31650)Instructions burned: 40 (million)
% 0.20/0.56 % (31650)------------------------------
% 0.20/0.56 % (31650)------------------------------
% 1.71/0.57 % (31647)Instruction limit reached!
% 1.71/0.57 % (31647)------------------------------
% 1.71/0.57 % (31647)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.71/0.57 % (31647)Termination reason: Unknown
% 1.71/0.57 % (31647)Termination phase: Saturation
% 1.71/0.57
% 1.71/0.57 % (31647)Memory used [KB]: 1535
% 1.71/0.57 % (31647)Time elapsed: 0.034 s
% 1.71/0.57 % (31647)Instructions burned: 99 (million)
% 1.71/0.57 % (31647)------------------------------
% 1.71/0.57 % (31647)------------------------------
% 1.71/0.57 % (31652)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on Vampire---4 for (2998ds/1087Mi)
% 1.71/0.57 % (31652)Refutation not found, incomplete strategy
% 1.71/0.57 % (31652)------------------------------
% 1.71/0.57 % (31652)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.71/0.57 % (31652)Termination reason: Refutation not found, incomplete strategy
% 1.71/0.57
% 1.71/0.57
% 1.71/0.57 % (31652)Memory used [KB]: 5628
% 1.71/0.57 % (31652)Time elapsed: 0.004 s
% 1.71/0.57 % (31652)Instructions burned: 9 (million)
% 1.71/0.57 % (31652)------------------------------
% 1.71/0.57 % (31652)------------------------------
% 1.71/0.58 % (31653)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on Vampire---4 for (2998ds/47Mi)
% 1.71/0.58 % (31654)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on Vampire---4 for (2997ds/44Mi)
% 1.82/0.58 % (31655)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on Vampire---4 for (2997ds/432Mi)
% 1.82/0.58 % (31654)Refutation not found, incomplete strategy
% 1.82/0.58 % (31654)------------------------------
% 1.82/0.58 % (31654)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.82/0.58 % (31654)Termination reason: Refutation not found, incomplete strategy
% 1.82/0.58
% 1.82/0.58
% 1.82/0.58 % (31654)Memory used [KB]: 1151
% 1.82/0.58 % (31654)Time elapsed: 0.006 s
% 1.82/0.58 % (31654)Instructions burned: 16 (million)
% 1.82/0.58 % (31654)------------------------------
% 1.82/0.58 % (31654)------------------------------
% 1.82/0.58 % (31631)Instruction limit reached!
% 1.82/0.58 % (31631)------------------------------
% 1.82/0.58 % (31631)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.82/0.58 % (31631)Termination reason: Unknown
% 1.82/0.58 % (31631)Termination phase: Saturation
% 1.82/0.58
% 1.82/0.58 % (31631)Memory used [KB]: 6268
% 1.82/0.58 % (31631)Time elapsed: 0.141 s
% 1.82/0.58 % (31631)Instructions burned: 377 (million)
% 1.82/0.58 % (31631)------------------------------
% 1.82/0.58 % (31631)------------------------------
% 1.82/0.59 % (31653)Instruction limit reached!
% 1.82/0.59 % (31653)------------------------------
% 1.82/0.59 % (31653)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.82/0.59 % (31653)Termination reason: Unknown
% 1.82/0.59 % (31653)Termination phase: Saturation
% 1.82/0.59
% 1.82/0.59 % (31653)Memory used [KB]: 5756
% 1.82/0.59 % (31653)Time elapsed: 0.016 s
% 1.82/0.59 % (31653)Instructions burned: 49 (million)
% 1.82/0.59 % (31653)------------------------------
% 1.82/0.59 % (31653)------------------------------
% 1.82/0.59 % (31656)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on Vampire---4 for (2997ds/62Mi)
% 1.82/0.59 % (31657)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on Vampire---4 for (2997ds/31Mi)
% 1.82/0.60 % (31649)Instruction limit reached!
% 1.82/0.60 % (31649)------------------------------
% 1.82/0.60 % (31649)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.82/0.60 % (31649)Termination reason: Unknown
% 1.82/0.60 % (31649)Termination phase: Saturation
% 1.82/0.60
% 1.82/0.60 % (31649)Memory used [KB]: 6140
% 1.82/0.60 % (31649)Time elapsed: 0.057 s
% 1.82/0.60 % (31649)Instructions burned: 149 (million)
% 1.82/0.60 % (31649)------------------------------
% 1.82/0.60 % (31649)------------------------------
% 1.82/0.60 % (31658)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (2997ds/96Mi)
% 1.82/0.60 % (31657)Instruction limit reached!
% 1.82/0.60 % (31657)------------------------------
% 1.82/0.60 % (31657)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.82/0.60 % (31657)Termination reason: Unknown
% 1.82/0.60 % (31657)Termination phase: Saturation
% 1.82/0.60
% 1.82/0.60 % (31657)Memory used [KB]: 5756
% 1.82/0.60 % (31657)Time elapsed: 0.011 s
% 1.82/0.60 % (31657)Instructions burned: 31 (million)
% 1.82/0.60 % (31657)------------------------------
% 1.82/0.60 % (31657)------------------------------
% 1.82/0.60 % (31659)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on Vampire---4 for (2997ds/453Mi)
% 1.82/0.61 % (31660)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (2997ds/71Mi)
% 1.82/0.61 % (31656)Instruction limit reached!
% 1.82/0.61 % (31656)------------------------------
% 1.82/0.61 % (31656)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.82/0.61 % (31656)Termination reason: Unknown
% 1.82/0.61 % (31656)Termination phase: Saturation
% 1.82/0.61
% 1.82/0.61 % (31656)Memory used [KB]: 6140
% 1.82/0.61 % (31656)Time elapsed: 0.021 s
% 1.82/0.61 % (31656)Instructions burned: 63 (million)
% 1.82/0.61 % (31656)------------------------------
% 1.82/0.61 % (31656)------------------------------
% 1.82/0.62 % (31661)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on Vampire---4 for (2997ds/83Mi)
% 2.10/0.63 % (31658)Instruction limit reached!
% 2.10/0.63 % (31658)------------------------------
% 2.10/0.63 % (31658)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.10/0.63 % (31658)Termination reason: Unknown
% 2.10/0.63 % (31658)Termination phase: Saturation
% 2.10/0.63
% 2.10/0.63 % (31658)Memory used [KB]: 6012
% 2.10/0.63 % (31658)Time elapsed: 0.033 s
% 2.10/0.63 % (31658)Instructions burned: 97 (million)
% 2.10/0.63 % (31658)------------------------------
% 2.10/0.63 % (31658)------------------------------
% 2.10/0.63 % (31661)Refutation not found, incomplete strategy
% 2.10/0.63 % (31661)------------------------------
% 2.10/0.63 % (31661)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.10/0.63 % (31661)Termination reason: Refutation not found, incomplete strategy
% 2.10/0.63
% 2.10/0.63
% 2.10/0.63 % (31661)Memory used [KB]: 5628
% 2.10/0.63 % (31661)Time elapsed: 0.014 s
% 2.10/0.63 % (31661)Instructions burned: 38 (million)
% 2.10/0.63 % (31661)------------------------------
% 2.10/0.63 % (31661)------------------------------
% 2.10/0.64 % (31660)Instruction limit reached!
% 2.10/0.64 % (31660)------------------------------
% 2.10/0.64 % (31660)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.10/0.64 % (31660)Termination reason: Unknown
% 2.10/0.64 % (31660)Termination phase: Saturation
% 2.10/0.64
% 2.10/0.64 % (31660)Memory used [KB]: 5884
% 2.10/0.64 % (31660)Time elapsed: 0.026 s
% 2.10/0.64 % (31660)Instructions burned: 73 (million)
% 2.10/0.64 % (31660)------------------------------
% 2.10/0.64 % (31660)------------------------------
% 2.10/0.64 % (31662)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on Vampire---4 for (2997ds/11Mi)
% 2.10/0.64 % (31662)Instruction limit reached!
% 2.10/0.64 % (31662)------------------------------
% 2.10/0.64 % (31662)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.10/0.64 % (31662)Termination reason: Unknown
% 2.10/0.64 % (31662)Termination phase: Saturation
% 2.10/0.64
% 2.10/0.64 % (31662)Memory used [KB]: 5628
% 2.10/0.64 % (31662)Time elapsed: 0.004 s
% 2.10/0.64 % (31662)Instructions burned: 11 (million)
% 2.10/0.64 % (31662)------------------------------
% 2.10/0.64 % (31662)------------------------------
% 2.10/0.64 % (31663)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on Vampire---4 for (2997ds/41Mi)
% 2.27/0.64 % (31659)First to succeed.
% 2.27/0.64 % (31664)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2997ds/6Mi)
% 2.27/0.65 % (31664)Instruction limit reached!
% 2.27/0.65 % (31664)------------------------------
% 2.27/0.65 % (31664)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.27/0.65 % (31664)Termination reason: Unknown
% 2.27/0.65 % (31664)Termination phase: Function definition elimination
% 2.27/0.65
% 2.27/0.65 % (31664)Memory used [KB]: 1023
% 2.27/0.65 % (31664)Time elapsed: 0.003 s
% 2.27/0.65 % (31664)Instructions burned: 7 (million)
% 2.27/0.65 % (31664)------------------------------
% 2.27/0.65 % (31664)------------------------------
% 2.27/0.65 % (31665)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on Vampire---4 for (2997ds/150Mi)
% 2.27/0.65 % (31659)Refutation found. Thanks to Tanya!
% 2.27/0.65 % SZS status Theorem for Vampire---4
% 2.27/0.65 % SZS output start Proof for Vampire---4
% 2.27/0.65 thf(type_def_6, type, individuals: $tType).
% 2.27/0.65 thf(func_def_1, type, prop_a: $i > $o).
% 2.27/0.65 thf(func_def_2, type, prop_b: $i > $o).
% 2.27/0.65 thf(func_def_3, type, prop_c: $i > $o).
% 2.27/0.65 thf(func_def_4, type, mfalse: $i > $o).
% 2.27/0.65 thf(func_def_5, type, mtrue: $i > $o).
% 2.27/0.65 thf(func_def_6, type, mnot: ($i > $o) > $i > $o).
% 2.27/0.65 thf(func_def_8, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 2.27/0.65 thf(func_def_9, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 2.27/0.65 thf(func_def_10, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 2.27/0.65 thf(func_def_11, type, miff: ($i > $o) > ($i > $o) > $i > $o).
% 2.27/0.65 thf(func_def_12, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 2.27/0.65 thf(func_def_13, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 2.27/0.65 thf(func_def_14, type, individuals: $tType).
% 2.27/0.65 thf(func_def_15, type, mall: (individuals > $i > $o) > $i > $o).
% 2.27/0.65 thf(func_def_16, type, mexists: (individuals > $i > $o) > $i > $o).
% 2.27/0.65 thf(func_def_17, type, mvalid: ($i > $o) > $o).
% 2.27/0.65 thf(func_def_18, type, msatisfiable: ($i > $o) > $o).
% 2.27/0.65 thf(func_def_19, type, mcountersatisfiable: ($i > $o) > $o).
% 2.27/0.65 thf(func_def_20, type, minvalid: ($i > $o) > $o).
% 2.27/0.65 thf(func_def_21, type, reli: $i > $i > $o).
% 2.27/0.65 thf(func_def_22, type, relr: $i > $i > $o).
% 2.27/0.65 thf(func_def_23, type, cs4_atom: ($i > $o) > $i > $o).
% 2.27/0.65 thf(func_def_24, type, cs4_and: ($i > $o) > ($i > $o) > $i > $o).
% 2.27/0.65 thf(func_def_25, type, cs4_or: ($i > $o) > ($i > $o) > $i > $o).
% 2.27/0.65 thf(func_def_26, type, cs4_impl: ($i > $o) > ($i > $o) > $i > $o).
% 2.27/0.65 thf(func_def_27, type, cs4_true: $i > $o).
% 2.27/0.65 thf(func_def_28, type, cs4_false: $i > $o).
% 2.27/0.65 thf(func_def_29, type, cs4_all: (individuals > $i > $o) > $i > $o).
% 2.27/0.65 thf(func_def_30, type, cs4_box: ($i > $o) > $i > $o).
% 2.27/0.65 thf(func_def_31, type, cs4_valid: ($i > $o) > $o).
% 2.27/0.65 thf(func_def_32, type, princ_inj: individuals > $i > $o).
% 2.27/0.65 thf(func_def_33, type, bl_atom: ($i > $o) > $i > $o).
% 2.27/0.65 thf(func_def_34, type, bl_princ: ($i > $o) > $i > $o).
% 2.27/0.65 thf(func_def_35, type, bl_and: ($i > $o) > ($i > $o) > $i > $o).
% 2.27/0.65 thf(func_def_36, type, bl_or: ($i > $o) > ($i > $o) > $i > $o).
% 2.27/0.65 thf(func_def_37, type, bl_impl: ($i > $o) > ($i > $o) > $i > $o).
% 2.27/0.65 thf(func_def_38, type, bl_all: (individuals > $i > $o) > $i > $o).
% 2.27/0.65 thf(func_def_39, type, bl_true: $i > $o).
% 2.27/0.65 thf(func_def_40, type, bl_false: $i > $o).
% 2.27/0.65 thf(func_def_41, type, bl_says: individuals > ($i > $o) > $i > $o).
% 2.27/0.65 thf(func_def_42, type, bl_valid: ($i > $o) > $o).
% 2.27/0.65 thf(func_def_43, type, loca: individuals).
% 2.27/0.65 thf(func_def_66, type, ph1: !>[X0: $tType]:(X0)).
% 2.27/0.65 thf(func_def_67, type, sK2: $i > $o).
% 2.27/0.65 thf(func_def_68, type, sK3: individuals).
% 2.27/0.65 thf(func_def_69, type, sK4: ($i > $o) > $i > $i).
% 2.27/0.65 thf(func_def_72, type, sK7: ($i > $o) > $i > $i).
% 2.27/0.65 thf(f543,plain,(
% 2.27/0.65 $false),
% 2.27/0.65 inference(avatar_sat_refutation,[],[f415,f501,f540])).
% 2.27/0.65 thf(f540,plain,(
% 2.27/0.65 ~spl0_6),
% 2.27/0.65 inference(avatar_contradiction_clause,[],[f539])).
% 2.27/0.65 thf(f539,plain,(
% 2.27/0.65 $false | ~spl0_6),
% 2.27/0.65 inference(trivial_inequality_removal,[],[f538])).
% 2.27/0.65 thf(f538,plain,(
% 2.27/0.65 ($false = $true) | ~spl0_6),
% 2.27/0.65 inference(duplicate_literal_removal,[],[f519])).
% 2.27/0.65 thf(f519,plain,(
% 2.27/0.65 ($false = $true) | ($false = $true) | ~spl0_6),
% 2.27/0.65 inference(superposition,[],[f518,f250])).
% 2.27/0.65 thf(f250,plain,(
% 2.27/0.65 ( ! [X0 : $i] : (($true = (reli @ X0 @ X0))) )),
% 2.27/0.65 inference(trivial_inequality_removal,[],[f249])).
% 2.27/0.65 thf(f249,plain,(
% 2.27/0.65 ( ! [X0 : $i] : (($true = (reli @ X0 @ X0)) | ($false = $true)) )),
% 2.27/0.65 inference(duplicate_literal_removal,[],[f245])).
% 2.27/0.65 thf(f245,plain,(
% 2.27/0.65 ( ! [X0 : $i] : (($true = (reli @ X0 @ X0)) | ($false = $true) | ($true = (reli @ X0 @ X0))) )),
% 2.27/0.65 inference(superposition,[],[f240,f239])).
% 2.27/0.65 thf(f239,plain,(
% 2.27/0.65 ( ! [X2 : $i,X1 : $i > $o] : (($false = (X1 @ (sK7 @ X1 @ X2))) | ($true = (X1 @ X2))) )),
% 2.27/0.65 inference(binary_proxy_clausification,[],[f238])).
% 2.27/0.65 thf(f238,plain,(
% 2.27/0.65 ( ! [X2 : $i,X1 : $i > $o] : (($false = ((reli @ X2 @ (sK7 @ X1 @ X2)) => (X1 @ (sK7 @ X1 @ X2)))) | ($true = (X1 @ X2))) )),
% 2.27/0.65 inference(beta_eta_normalization,[],[f237])).
% 2.27/0.65 thf(f237,plain,(
% 2.27/0.65 ( ! [X2 : $i,X1 : $i > $o] : (($false = ((^[Y0 : $i]: ((reli @ X2 @ Y0) => (X1 @ Y0))) @ (sK7 @ X1 @ X2))) | ($true = (X1 @ X2))) )),
% 2.27/0.65 inference(sigma_clausification,[],[f229])).
% 2.27/0.65 thf(f229,plain,(
% 2.27/0.65 ( ! [X2 : $i,X1 : $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => (X1 @ Y0))))) | ($true = (X1 @ X2))) )),
% 2.27/0.65 inference(not_proxy_clausification,[],[f228])).
% 2.27/0.65 thf(f228,plain,(
% 2.27/0.65 ( ! [X2 : $i,X1 : $i > $o] : (((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => (X1 @ Y0))))) = $true) | ($true = (X1 @ X2))) )),
% 2.27/0.65 inference(binary_proxy_clausification,[],[f227])).
% 2.27/0.65 thf(f227,plain,(
% 2.27/0.65 ( ! [X2 : $i,X1 : $i > $o] : (($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => (X1 @ Y0))))) | (X1 @ X2)))) )),
% 2.27/0.65 inference(beta_eta_normalization,[],[f226])).
% 2.27/0.65 thf(f226,plain,(
% 2.27/0.65 ( ! [X2 : $i,X1 : $i > $o] : ((((^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (X1 @ Y1))))) | (X1 @ Y0))) @ X2) = $true)) )),
% 2.27/0.65 inference(pi_clausification,[],[f225])).
% 2.27/0.65 thf(f225,plain,(
% 2.27/0.65 ( ! [X1 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (X1 @ Y1))))) | (X1 @ Y0)))))) )),
% 2.27/0.65 inference(beta_eta_normalization,[],[f224])).
% 2.27/0.65 thf(f224,plain,(
% 2.27/0.65 ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (Y0 @ Y2))))) | (Y0 @ Y1))))) @ X1) = $true)) )),
% 2.27/0.65 inference(pi_clausification,[],[f190])).
% 2.27/0.65 thf(f190,plain,(
% 2.27/0.65 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (Y0 @ Y2))))) | (Y0 @ Y1)))))))),
% 2.27/0.65 inference(beta_eta_normalization,[],[f182])).
% 2.27/0.65 thf(f182,plain,(
% 2.27/0.65 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) | (Y4 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ reli @ Y0) @ Y0)))))),
% 2.27/0.65 inference(definition_unfolding,[],[f139,f136,f160,f142])).
% 2.27/0.65 thf(f142,plain,(
% 2.27/0.65 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 2.27/0.65 inference(cnf_transformation,[],[f106])).
% 2.27/0.65 thf(f106,plain,(
% 2.27/0.65 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 2.27/0.65 inference(fool_elimination,[],[f105])).
% 2.27/0.65 thf(f105,plain,(
% 2.27/0.65 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X0 @ X2 @ X3) => (X1 @ X3)))) = mbox)),
% 2.27/0.65 inference(rectify,[],[f8])).
% 2.27/0.65 thf(f8,axiom,(
% 2.27/0.65 ((^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (! [X2] : ((X4 @ X0 @ X2) => (X5 @ X2)))) = mbox)),
% 2.27/0.65 file('/export/starexec/sandbox/tmp/tmp.Uj9RpnQn0m/Vampire---4.8_31496',mbox)).
% 2.27/0.65 thf(f160,plain,(
% 2.27/0.65 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 2.27/0.65 inference(definition_unfolding,[],[f152,f147,f129])).
% 2.27/0.65 thf(f129,plain,(
% 2.27/0.65 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 2.27/0.65 inference(cnf_transformation,[],[f50])).
% 2.27/0.65 thf(f50,plain,(
% 2.27/0.65 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 2.27/0.65 inference(fool_elimination,[],[f49])).
% 2.27/0.65 thf(f49,plain,(
% 2.27/0.65 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 2.27/0.65 inference(rectify,[],[f3])).
% 2.27/0.65 thf(f3,axiom,(
% 2.27/0.65 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 2.27/0.65 file('/export/starexec/sandbox/tmp/tmp.Uj9RpnQn0m/Vampire---4.8_31496',mnot)).
% 2.27/0.65 thf(f147,plain,(
% 2.27/0.65 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 2.27/0.65 inference(cnf_transformation,[],[f88])).
% 2.27/0.65 thf(f88,plain,(
% 2.27/0.65 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 2.27/0.65 inference(fool_elimination,[],[f87])).
% 2.27/0.65 thf(f87,plain,(
% 2.27/0.65 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
% 2.27/0.65 inference(rectify,[],[f4])).
% 2.27/0.65 thf(f4,axiom,(
% 2.27/0.65 (mor = (^[X0 : $i > $o, X2 : $i > $o, X1 : $i] : ((X2 @ X1) | (X0 @ X1))))),
% 2.27/0.65 file('/export/starexec/sandbox/tmp/tmp.Uj9RpnQn0m/Vampire---4.8_31496',mor)).
% 2.27/0.65 thf(f152,plain,(
% 2.27/0.65 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 2.27/0.65 inference(cnf_transformation,[],[f118])).
% 2.27/0.65 thf(f118,plain,(
% 2.27/0.65 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 2.27/0.65 inference(fool_elimination,[],[f117])).
% 2.27/0.65 thf(f117,plain,(
% 2.27/0.65 (mimpl = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 2.27/0.65 inference(rectify,[],[f6])).
% 2.27/0.65 thf(f6,axiom,(
% 2.27/0.65 (mimpl = (^[X1 : $i > $o, X3 : $i > $o] : (mor @ (mnot @ X1) @ X3)))),
% 2.27/0.65 file('/export/starexec/sandbox/tmp/tmp.Uj9RpnQn0m/Vampire---4.8_31496',mimpl)).
% 2.27/0.65 thf(f136,plain,(
% 2.27/0.65 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 2.27/0.65 inference(cnf_transformation,[],[f98])).
% 2.27/0.65 thf(f98,plain,(
% 2.27/0.65 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 2.27/0.65 inference(fool_elimination,[],[f97])).
% 2.27/0.65 thf(f97,plain,(
% 2.27/0.65 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 2.27/0.65 inference(rectify,[],[f12])).
% 2.27/0.65 thf(f12,axiom,(
% 2.27/0.65 ((^[X5 : $i > $o] : (! [X6] : (X5 @ X6))) = mvalid)),
% 2.27/0.65 file('/export/starexec/sandbox/tmp/tmp.Uj9RpnQn0m/Vampire---4.8_31496',mvalid)).
% 2.27/0.65 thf(f139,plain,(
% 2.27/0.65 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ reli @ Y0) @ Y0)))))),
% 2.27/0.65 inference(cnf_transformation,[],[f56])).
% 2.27/0.65 thf(f56,plain,(
% 2.27/0.65 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ reli @ Y0) @ Y0)))))),
% 2.27/0.65 inference(fool_elimination,[],[f55])).
% 2.27/0.65 thf(f55,plain,(
% 2.27/0.65 ! [X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ reli @ X0) @ X0))),
% 2.27/0.65 inference(rectify,[],[f25])).
% 2.27/0.65 thf(f25,axiom,(
% 2.27/0.65 ! [X7 : $i > $o] : (mvalid @ (mimpl @ (mbox @ reli @ X7) @ X7))),
% 2.27/0.65 file('/export/starexec/sandbox/tmp/tmp.Uj9RpnQn0m/Vampire---4.8_31496',refl_axiom_i)).
% 2.27/0.65 thf(f240,plain,(
% 2.27/0.65 ( ! [X2 : $i,X1 : $i > $o] : (($true = (reli @ X2 @ (sK7 @ X1 @ X2))) | ($true = (X1 @ X2))) )),
% 2.27/0.65 inference(binary_proxy_clausification,[],[f238])).
% 2.27/0.65 thf(f518,plain,(
% 2.27/0.65 ( ! [X0 : $i] : (($false = (reli @ sK10 @ X0)) | ((reli @ X0 @ sK10) = $false)) ) | ~spl0_6),
% 2.27/0.65 inference(trivial_inequality_removal,[],[f507])).
% 2.27/0.65 thf(f507,plain,(
% 2.27/0.65 ( ! [X0 : $i] : (($false = (reli @ sK10 @ X0)) | ($false = $true) | ((reli @ X0 @ sK10) = $false)) ) | ~spl0_6),
% 2.27/0.65 inference(superposition,[],[f500,f223])).
% 2.27/0.65 thf(f223,plain,(
% 2.27/0.65 ( ! [X0 : $i] : (((relr @ X0 @ X0) = $true)) )),
% 2.27/0.65 inference(trivial_inequality_removal,[],[f222])).
% 2.27/0.65 thf(f222,plain,(
% 2.27/0.65 ( ! [X0 : $i] : (((relr @ X0 @ X0) = $true) | ($false = $true)) )),
% 2.27/0.65 inference(duplicate_literal_removal,[],[f219])).
% 2.27/0.65 thf(f219,plain,(
% 2.27/0.65 ( ! [X0 : $i] : (($false = $true) | ((relr @ X0 @ X0) = $true) | ((relr @ X0 @ X0) = $true)) )),
% 2.27/0.65 inference(superposition,[],[f210,f211])).
% 2.27/0.65 thf(f211,plain,(
% 2.27/0.65 ( ! [X2 : $i,X1 : $i > $o] : (($true = (relr @ X2 @ (sK4 @ X1 @ X2))) | ($true = (X1 @ X2))) )),
% 2.27/0.65 inference(binary_proxy_clausification,[],[f209])).
% 2.27/0.65 thf(f209,plain,(
% 2.27/0.65 ( ! [X2 : $i,X1 : $i > $o] : (($true = (X1 @ X2)) | ($false = ((relr @ X2 @ (sK4 @ X1 @ X2)) => (X1 @ (sK4 @ X1 @ X2))))) )),
% 2.27/0.65 inference(beta_eta_normalization,[],[f208])).
% 2.27/0.65 thf(f208,plain,(
% 2.27/0.65 ( ! [X2 : $i,X1 : $i > $o] : (($false = ((^[Y0 : $i]: ((relr @ X2 @ Y0) => (X1 @ Y0))) @ (sK4 @ X1 @ X2))) | ($true = (X1 @ X2))) )),
% 2.27/0.65 inference(sigma_clausification,[],[f207])).
% 2.27/0.65 thf(f207,plain,(
% 2.27/0.65 ( ! [X2 : $i,X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((relr @ X2 @ Y0) => (X1 @ Y0)))) = $false) | ($true = (X1 @ X2))) )),
% 2.27/0.65 inference(not_proxy_clausification,[],[f206])).
% 2.27/0.65 thf(f206,plain,(
% 2.27/0.65 ( ! [X2 : $i,X1 : $i > $o] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((relr @ X2 @ Y0) => (X1 @ Y0)))))) | ($true = (X1 @ X2))) )),
% 2.27/0.65 inference(binary_proxy_clausification,[],[f205])).
% 2.27/0.65 thf(f205,plain,(
% 2.27/0.65 ( ! [X2 : $i,X1 : $i > $o] : (($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((relr @ X2 @ Y0) => (X1 @ Y0))))) | (X1 @ X2)))) )),
% 2.27/0.65 inference(beta_eta_normalization,[],[f204])).
% 2.27/0.65 thf(f204,plain,(
% 2.27/0.65 ( ! [X2 : $i,X1 : $i > $o] : (($true = ((^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (X1 @ Y1))))) | (X1 @ Y0))) @ X2))) )),
% 2.27/0.65 inference(pi_clausification,[],[f203])).
% 2.27/0.65 thf(f203,plain,(
% 2.27/0.65 ( ! [X1 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (X1 @ Y1))))) | (X1 @ Y0)))))) )),
% 2.27/0.65 inference(beta_eta_normalization,[],[f202])).
% 2.27/0.65 thf(f202,plain,(
% 2.27/0.65 ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (Y0 @ Y2))))) | (Y0 @ Y1))))) @ X1) = $true)) )),
% 2.27/0.65 inference(pi_clausification,[],[f187])).
% 2.27/0.65 thf(f187,plain,(
% 2.27/0.65 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (Y0 @ Y2))))) | (Y0 @ Y1)))))))),
% 2.27/0.65 inference(beta_eta_normalization,[],[f177])).
% 2.27/0.65 thf(f177,plain,(
% 2.27/0.65 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) | (Y4 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ relr @ Y0) @ Y0)))) = $true)),
% 2.27/0.65 inference(definition_unfolding,[],[f120,f136,f160,f142])).
% 2.27/0.65 thf(f120,plain,(
% 2.27/0.65 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ relr @ Y0) @ Y0)))) = $true)),
% 2.27/0.65 inference(cnf_transformation,[],[f45])).
% 2.27/0.65 thf(f45,plain,(
% 2.27/0.65 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ relr @ Y0) @ Y0)))) = $true)),
% 2.27/0.65 inference(fool_elimination,[],[f44])).
% 2.27/0.65 thf(f44,plain,(
% 2.27/0.65 ! [X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ relr @ X0) @ X0))),
% 2.27/0.65 inference(rectify,[],[f26])).
% 2.27/0.65 thf(f26,axiom,(
% 2.27/0.65 ! [X7 : $i > $o] : (mvalid @ (mimpl @ (mbox @ relr @ X7) @ X7))),
% 2.27/0.65 file('/export/starexec/sandbox/tmp/tmp.Uj9RpnQn0m/Vampire---4.8_31496',refl_axiom_r)).
% 2.27/0.65 thf(f210,plain,(
% 2.27/0.65 ( ! [X2 : $i,X1 : $i > $o] : (($false = (X1 @ (sK4 @ X1 @ X2))) | ($true = (X1 @ X2))) )),
% 2.27/0.65 inference(binary_proxy_clausification,[],[f209])).
% 2.27/0.65 thf(f500,plain,(
% 2.27/0.65 ( ! [X2 : $i,X3 : $i] : (($false = (relr @ X2 @ X3)) | ($false = (reli @ sK10 @ X2)) | ($false = (reli @ X3 @ sK10))) ) | ~spl0_6),
% 2.27/0.65 inference(avatar_component_clause,[],[f499])).
% 2.27/0.65 thf(f499,plain,(
% 2.27/0.65 spl0_6 <=> ! [X2,X3] : (($false = (relr @ X2 @ X3)) | ($false = (reli @ sK10 @ X2)) | ($false = (reli @ X3 @ sK10)))),
% 2.27/0.65 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
% 2.27/0.65 thf(f501,plain,(
% 2.27/0.65 spl0_4 | spl0_6),
% 2.27/0.65 inference(avatar_split_clause,[],[f495,f499,f396])).
% 2.27/0.65 thf(f396,plain,(
% 2.27/0.65 spl0_4 <=> ! [X0,X1] : (($false = (reli @ X1 @ sK10)) | ($false = (reli @ sK6 @ X0)) | ($false = (relr @ X0 @ X1)))),
% 2.27/0.65 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 2.27/0.65 thf(f495,plain,(
% 2.27/0.65 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (reli @ sK6 @ X1)) | ($false = (relr @ X2 @ X3)) | ($false = (reli @ X3 @ sK10)) | ($false = (reli @ sK10 @ X2)) | ((reli @ X0 @ sK10) = $false) | ($false = (relr @ X1 @ X0))) )),
% 2.27/0.65 inference(trivial_inequality_removal,[],[f491])).
% 2.27/0.65 thf(f491,plain,(
% 2.27/0.65 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (reli @ sK10 @ X2)) | ($false = $true) | ($false = (relr @ X1 @ X0)) | ($false = (reli @ sK6 @ X1)) | ($false = (reli @ X3 @ sK10)) | ($false = (relr @ X2 @ X3)) | ((reli @ X0 @ sK10) = $false)) )),
% 2.27/0.65 inference(superposition,[],[f388,f268])).
% 2.27/0.65 thf(f268,plain,(
% 2.27/0.65 ($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (princ_inj @ sK3 @ Y0)))))),
% 2.27/0.65 inference(not_proxy_clausification,[],[f267])).
% 2.27/0.65 thf(f267,plain,(
% 2.27/0.65 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (princ_inj @ sK3 @ Y0))))))),
% 2.27/0.65 inference(binary_proxy_clausification,[],[f264])).
% 2.27/0.65 thf(f264,plain,(
% 2.27/0.65 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (princ_inj @ sK3 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (sK2 @ Y0))))))),
% 2.27/0.65 inference(binary_proxy_clausification,[],[f263])).
% 2.27/0.65 thf(f263,plain,(
% 2.27/0.65 ($false = ((reli @ sK9 @ sK10) => ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (princ_inj @ sK3 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (sK2 @ Y0)))))))),
% 2.27/0.65 inference(beta_eta_normalization,[],[f262])).
% 2.27/0.65 thf(f262,plain,(
% 2.27/0.65 ($false = ((^[Y0 : $i]: ((reli @ sK9 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK3 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK2 @ Y1))))))) @ sK10))),
% 2.27/0.65 inference(sigma_clausification,[],[f257])).
% 2.27/0.65 thf(f257,plain,(
% 2.27/0.65 ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ sK9 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK3 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK2 @ Y1)))))))))),
% 2.27/0.65 inference(binary_proxy_clausification,[],[f256])).
% 2.27/0.65 thf(f256,plain,(
% 2.27/0.65 ($false = ((relr @ sK8 @ sK9) => (!! @ $i @ (^[Y0 : $i]: ((reli @ sK9 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK3 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK2 @ Y1))))))))))),
% 2.27/0.65 inference(beta_eta_normalization,[],[f255])).
% 2.27/0.65 thf(f255,plain,(
% 2.27/0.65 ($false = ((^[Y0 : $i]: ((relr @ sK8 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK3 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK2 @ Y2)))))))))) @ sK9))),
% 2.27/0.65 inference(sigma_clausification,[],[f253])).
% 2.27/0.65 thf(f253,plain,(
% 2.27/0.65 ((!! @ $i @ (^[Y0 : $i]: ((relr @ sK8 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK3 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK2 @ Y2))))))))))) = $false)),
% 2.27/0.65 inference(binary_proxy_clausification,[],[f252])).
% 2.27/0.65 thf(f252,plain,(
% 2.27/0.65 ($false = ((reli @ sK6 @ sK8) => (!! @ $i @ (^[Y0 : $i]: ((relr @ sK8 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK3 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK2 @ Y2)))))))))))))),
% 2.27/0.65 inference(beta_eta_normalization,[],[f251])).
% 2.27/0.65 thf(f251,plain,(
% 2.27/0.65 ($false = ((^[Y0 : $i]: ((reli @ sK6 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK3 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK2 @ Y3))))))))))))) @ sK8))),
% 2.27/0.65 inference(sigma_clausification,[],[f234])).
% 2.27/0.65 thf(f234,plain,(
% 2.27/0.65 ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ sK6 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK3 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK2 @ Y3)))))))))))))))),
% 2.27/0.65 inference(binary_proxy_clausification,[],[f232])).
% 2.27/0.65 thf(f232,plain,(
% 2.27/0.65 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK6 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK3 @ 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) => (princ_inj @ sK3 @ Y6))))) | (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (sK2 @ Y6))))))))))))))))))))))))) | (!! @ $i @ (^[Y0 : $i]: ((reli @ sK6 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK3 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK2 @ Y3))))))))))))))))),
% 2.27/0.65 inference(binary_proxy_clausification,[],[f231])).
% 2.27/0.65 thf(f231,plain,(
% 2.27/0.65 ($false = ((reli @ sK5 @ sK6) => ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK6 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK3 @ 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) => (princ_inj @ sK3 @ Y6))))) | (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (sK2 @ Y6))))))))))))))))))))))))) | (!! @ $i @ (^[Y0 : $i]: ((reli @ sK6 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK3 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK2 @ Y3)))))))))))))))))),
% 2.27/0.65 inference(beta_eta_normalization,[],[f230])).
% 2.27/0.65 thf(f230,plain,(
% 2.27/0.65 ($false = ((^[Y0 : $i]: ((reli @ sK5 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ sK3 @ 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) => (princ_inj @ sK3 @ Y7))))) | (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (sK2 @ Y7))))))))))))))))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ sK3 @ Y4))))) | (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK2 @ Y4))))))))))))))))) @ sK6))),
% 2.27/0.65 inference(sigma_clausification,[],[f217])).
% 2.27/0.65 thf(f217,plain,(
% 2.27/0.65 ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ sK5 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ sK3 @ 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) => (princ_inj @ sK3 @ Y7))))) | (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (sK2 @ Y7))))))))))))))))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ sK3 @ Y4))))) | (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK2 @ Y4)))))))))))))))))))),
% 2.27/0.65 inference(beta_eta_normalization,[],[f216])).
% 2.27/0.65 thf(f216,plain,(
% 2.27/0.65 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (princ_inj @ sK3 @ 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) => (princ_inj @ sK3 @ Y8))))) | (!! @ $i @ (^[Y8 : $i]: ((reli @ Y7 @ Y8) => (sK2 @ Y8))))))))))))))))))))))))) | (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (princ_inj @ sK3 @ Y5))))) | (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (sK2 @ Y5))))))))))))))))))) @ sK5))),
% 2.27/0.65 inference(sigma_clausification,[],[f201])).
% 2.27/0.65 thf(f201,plain,(
% 2.27/0.65 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (princ_inj @ sK3 @ 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) => (princ_inj @ sK3 @ Y8))))) | (!! @ $i @ (^[Y8 : $i]: ((reli @ Y7 @ Y8) => (sK2 @ Y8))))))))))))))))))))))))) | (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (princ_inj @ sK3 @ Y5))))) | (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (sK2 @ Y5)))))))))))))))))))))),
% 2.27/0.65 inference(beta_eta_normalization,[],[f200])).
% 2.27/0.65 thf(f200,plain,(
% 2.27/0.65 ($false = ((^[Y0 : individuals]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => ((~ (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (princ_inj @ Y0 @ Y6))))) | (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (!! @ $i @ (^[Y7 : $i]: ((relr @ Y6 @ Y7) => (!! @ $i @ (^[Y8 : $i]: ((reli @ Y7 @ Y8) => ((~ (!! @ $i @ (^[Y9 : $i]: ((reli @ Y8 @ Y9) => (princ_inj @ Y0 @ Y9))))) | (!! @ $i @ (^[Y9 : $i]: ((reli @ Y8 @ Y9) => (sK2 @ Y9))))))))))))))))))))))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => ((~ (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (princ_inj @ Y0 @ Y6))))) | (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (sK2 @ Y6))))))))))))))))))))) @ sK3))),
% 2.27/0.65 inference(sigma_clausification,[],[f195])).
% 2.27/0.65 thf(f195,plain,(
% 2.27/0.65 ($false = (!! @ individuals @ (^[Y0 : individuals]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => ((~ (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (princ_inj @ Y0 @ Y6))))) | (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (!! @ $i @ (^[Y7 : $i]: ((relr @ Y6 @ Y7) => (!! @ $i @ (^[Y8 : $i]: ((reli @ Y7 @ Y8) => ((~ (!! @ $i @ (^[Y9 : $i]: ((reli @ Y8 @ Y9) => (princ_inj @ Y0 @ Y9))))) | (!! @ $i @ (^[Y9 : $i]: ((reli @ Y8 @ Y9) => (sK2 @ Y9))))))))))))))))))))))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => ((~ (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (princ_inj @ Y0 @ Y6))))) | (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (sK2 @ Y6)))))))))))))))))))))))),
% 2.27/0.65 inference(beta_eta_normalization,[],[f194])).
% 2.27/0.65 thf(f194,plain,(
% 2.27/0.65 ($false = ((^[Y0 : $i > $o]: (!! @ individuals @ (^[Y1 : individuals]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((relr @ Y4 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => ((~ (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (princ_inj @ Y1 @ Y7))))) | (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (!! @ $i @ (^[Y8 : $i]: ((relr @ Y7 @ Y8) => (!! @ $i @ (^[Y9 : $i]: ((reli @ Y8 @ Y9) => ((~ (!! @ $i @ (^[Y10 : $i]: ((reli @ Y9 @ Y10) => (princ_inj @ Y1 @ Y10))))) | (!! @ $i @ (^[Y10 : $i]: ((reli @ Y9 @ Y10) => (Y0 @ Y10))))))))))))))))))))))))) | (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((relr @ Y4 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => ((~ (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (princ_inj @ Y1 @ Y7))))) | (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (Y0 @ Y7))))))))))))))))))))))) @ sK2))),
% 2.27/0.65 inference(sigma_clausification,[],[f193])).
% 2.27/0.65 thf(f193,plain,(
% 2.27/0.65 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ individuals @ (^[Y1 : individuals]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((relr @ Y4 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => ((~ (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (princ_inj @ Y1 @ Y7))))) | (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (!! @ $i @ (^[Y8 : $i]: ((relr @ Y7 @ Y8) => (!! @ $i @ (^[Y9 : $i]: ((reli @ Y8 @ Y9) => ((~ (!! @ $i @ (^[Y10 : $i]: ((reli @ Y9 @ Y10) => (princ_inj @ Y1 @ Y10))))) | (!! @ $i @ (^[Y10 : $i]: ((reli @ Y9 @ Y10) => (Y0 @ Y10))))))))))))))))))))))))) | (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((relr @ Y4 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => ((~ (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (princ_inj @ Y1 @ Y7))))) | (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (Y0 @ Y7)))))))))))))))))))))))))),
% 2.27/0.65 inference(not_proxy_clausification,[],[f191])).
% 2.27/0.65 thf(f191,plain,(
% 2.27/0.65 ((~ (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ individuals @ (^[Y1 : individuals]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((relr @ Y4 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => ((~ (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (princ_inj @ Y1 @ Y7))))) | (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (!! @ $i @ (^[Y8 : $i]: ((relr @ Y7 @ Y8) => (!! @ $i @ (^[Y9 : $i]: ((reli @ Y8 @ Y9) => ((~ (!! @ $i @ (^[Y10 : $i]: ((reli @ Y9 @ Y10) => (princ_inj @ Y1 @ Y10))))) | (!! @ $i @ (^[Y10 : $i]: ((reli @ Y9 @ Y10) => (Y0 @ Y10))))))))))))))))))))))))) | (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((relr @ Y4 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => ((~ (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (princ_inj @ Y1 @ Y7))))) | (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (Y0 @ Y7))))))))))))))))))))))))) = $true)),
% 2.27/0.65 inference(beta_eta_normalization,[],[f179])).
% 2.27/0.65 thf(f179,plain,(
% 2.27/0.65 ((~ (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ individuals @ (^[Y1 : individuals]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (Y2 @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y6 @ Y8 @ Y9) => (Y7 @ Y9))))))))) @ reli @ ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i > $o]: ((^[Y9 : $i > $o]: ((^[Y10 : $i]: ((Y8 @ Y10) | (Y9 @ Y10))))))) @ ((^[Y8 : $i > $o]: ((^[Y9 : $i]: (~ (Y8 @ Y9))))) @ Y6) @ Y7)))) @ Y4 @ Y5))))) @ Y2 @ Y3)))) @ ((^[Y2 : individuals]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y5 @ Y7 @ Y8) => (Y6 @ Y8))))))))) @ reli @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y5 @ Y7 @ Y8) => (Y6 @ Y8))))))))) @ relr @ Y4))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y6 @ Y8 @ Y9) => (Y7 @ Y9))))))))) @ reli @ ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i > $o]: ((^[Y9 : $i > $o]: ((^[Y10 : $i]: ((Y8 @ Y10) | (Y9 @ Y10))))))) @ ((^[Y8 : $i > $o]: ((^[Y9 : $i]: (~ (Y8 @ Y9))))) @ Y6) @ Y7)))) @ Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y6 @ Y8 @ Y9) => (Y7 @ Y9))))))))) @ reli @ Y5)) @ Y4)) @ (princ_inj @ Y2)) @ Y3))))) @ Y1 @ ((^[Y2 : individuals]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y5 @ Y7 @ Y8) => (Y6 @ Y8))))))))) @ reli @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y5 @ Y7 @ Y8) => (Y6 @ Y8))))))))) @ relr @ Y4))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y6 @ Y8 @ Y9) => (Y7 @ Y9))))))))) @ reli @ ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i > $o]: ((^[Y9 : $i > $o]: ((^[Y10 : $i]: ((Y8 @ Y10) | (Y9 @ Y10))))))) @ ((^[Y8 : $i > $o]: ((^[Y9 : $i]: (~ (Y8 @ Y9))))) @ Y6) @ Y7)))) @ Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y6 @ Y8 @ Y9) => (Y7 @ Y9))))))))) @ reli @ Y5)) @ Y4)) @ (princ_inj @ Y2)) @ Y3))))) @ Y1 @ ((^[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)) @ Y0))) @ ((^[Y2 : individuals]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y5 @ Y7 @ Y8) => (Y6 @ Y8))))))))) @ reli @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y5 @ Y7 @ Y8) => (Y6 @ Y8))))))))) @ relr @ Y4))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y6 @ Y8 @ Y9) => (Y7 @ Y9))))))))) @ reli @ ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i > $o]: ((^[Y9 : $i > $o]: ((^[Y10 : $i]: ((Y8 @ Y10) | (Y9 @ Y10))))))) @ ((^[Y8 : $i > $o]: ((^[Y9 : $i]: (~ (Y8 @ Y9))))) @ Y6) @ Y7)))) @ Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y6 @ Y8 @ Y9) => (Y7 @ Y9))))))))) @ reli @ Y5)) @ Y4)) @ (princ_inj @ Y2)) @ Y3))))) @ Y1 @ ((^[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)) @ Y0))))))))) = $true)),
% 2.27/0.65 inference(definition_unfolding,[],[f128,f176,f173,f175,f175,f169,f175,f169])).
% 2.27/0.65 thf(f169,plain,(
% 2.27/0.65 (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)))),
% 2.27/0.65 inference(definition_unfolding,[],[f133,f162])).
% 2.27/0.65 thf(f162,plain,(
% 2.27/0.65 (cs4_atom = (^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ reli @ Y0)))),
% 2.27/0.65 inference(definition_unfolding,[],[f134,f142])).
% 2.27/0.65 thf(f134,plain,(
% 2.27/0.65 (cs4_atom = (^[Y0 : $i > $o]: (mbox @ reli @ Y0)))),
% 2.27/0.65 inference(cnf_transformation,[],[f96])).
% 2.27/0.65 thf(f96,plain,(
% 2.27/0.65 (cs4_atom = (^[Y0 : $i > $o]: (mbox @ reli @ Y0)))),
% 2.27/0.65 inference(fool_elimination,[],[f95])).
% 2.27/0.65 thf(f95,plain,(
% 2.27/0.65 ((^[X0 : $i > $o] : (mbox @ reli @ X0)) = cs4_atom)),
% 2.27/0.65 inference(rectify,[],[f16])).
% 2.27/0.65 thf(f16,axiom,(
% 2.27/0.65 ((^[X5 : $i > $o] : (mbox @ reli @ X5)) = cs4_atom)),
% 2.27/0.65 file('/export/starexec/sandbox/tmp/tmp.Uj9RpnQn0m/Vampire---4.8_31496',cs4_atom)).
% 2.27/0.65 thf(f133,plain,(
% 2.27/0.65 (bl_atom = (^[Y0 : $i > $o]: (cs4_atom @ Y0)))),
% 2.27/0.65 inference(cnf_transformation,[],[f102])).
% 2.27/0.65 thf(f102,plain,(
% 2.27/0.65 (bl_atom = (^[Y0 : $i > $o]: (cs4_atom @ Y0)))),
% 2.27/0.65 inference(fool_elimination,[],[f101])).
% 2.27/0.65 thf(f101,plain,(
% 2.27/0.65 (bl_atom = (^[X0 : $i > $o] : (cs4_atom @ X0)))),
% 2.27/0.65 inference(rectify,[],[f30])).
% 2.27/0.65 thf(f30,axiom,(
% 2.27/0.65 (bl_atom = (^[X5 : $i > $o] : (cs4_atom @ X5)))),
% 2.27/0.65 file('/export/starexec/sandbox/tmp/tmp.Uj9RpnQn0m/Vampire---4.8_31496',bl_atom)).
% 2.27/0.65 thf(f175,plain,(
% 2.27/0.65 (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]: ((Y6 @ Y8) | (Y7 @ 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))))))),
% 2.27/0.65 inference(definition_unfolding,[],[f145,f167,f165,f170])).
% 2.27/0.65 thf(f170,plain,(
% 2.27/0.65 (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)))),
% 2.27/0.65 inference(definition_unfolding,[],[f155,f162])).
% 2.27/0.65 thf(f155,plain,(
% 2.27/0.65 (bl_princ = (^[Y0 : $i > $o]: (cs4_atom @ Y0)))),
% 2.27/0.65 inference(cnf_transformation,[],[f114])).
% 2.27/0.65 thf(f114,plain,(
% 2.27/0.65 (bl_princ = (^[Y0 : $i > $o]: (cs4_atom @ Y0)))),
% 2.27/0.65 inference(fool_elimination,[],[f113])).
% 2.27/0.65 thf(f113,plain,(
% 2.27/0.65 ((^[X0 : $i > $o] : (cs4_atom @ X0)) = bl_princ)),
% 2.27/0.65 inference(rectify,[],[f31])).
% 2.27/0.65 thf(f31,axiom,(
% 2.27/0.65 ((^[X5 : $i > $o] : (cs4_atom @ X5)) = bl_princ)),
% 2.27/0.65 file('/export/starexec/sandbox/tmp/tmp.Uj9RpnQn0m/Vampire---4.8_31496',bl_princ)).
% 2.27/0.65 thf(f165,plain,(
% 2.27/0.65 (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]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))))),
% 2.27/0.65 inference(definition_unfolding,[],[f132,f142,f160])).
% 2.27/0.65 thf(f132,plain,(
% 2.27/0.65 (cs4_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ reli @ (mimpl @ Y0 @ Y1))))))),
% 2.27/0.65 inference(cnf_transformation,[],[f47])).
% 2.27/0.65 thf(f47,plain,(
% 2.27/0.65 (cs4_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ reli @ (mimpl @ Y0 @ Y1))))))),
% 2.27/0.65 inference(fool_elimination,[],[f46])).
% 2.27/0.65 thf(f46,plain,(
% 2.27/0.65 (cs4_impl = (^[X0 : $i > $o, X1 : $i > $o] : (mbox @ reli @ (mimpl @ X0 @ X1))))),
% 2.27/0.65 inference(rectify,[],[f19])).
% 2.27/0.65 thf(f19,axiom,(
% 2.27/0.65 (cs4_impl = (^[X7 : $i > $o, X8 : $i > $o] : (mbox @ reli @ (mimpl @ X7 @ X8))))),
% 2.27/0.65 file('/export/starexec/sandbox/tmp/tmp.Uj9RpnQn0m/Vampire---4.8_31496',cs4_impl)).
% 2.27/0.65 thf(f167,plain,(
% 2.27/0.65 (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))))),
% 2.27/0.65 inference(definition_unfolding,[],[f143,f142,f142])).
% 2.27/0.65 thf(f143,plain,(
% 2.27/0.65 (cs4_box = (^[Y0 : $i > $o]: (mbox @ reli @ (mbox @ relr @ Y0))))),
% 2.27/0.65 inference(cnf_transformation,[],[f58])).
% 2.27/0.65 thf(f58,plain,(
% 2.27/0.65 (cs4_box = (^[Y0 : $i > $o]: (mbox @ reli @ (mbox @ relr @ Y0))))),
% 2.27/0.65 inference(fool_elimination,[],[f57])).
% 2.27/0.65 thf(f57,plain,(
% 2.27/0.65 (cs4_box = (^[X0 : $i > $o] : (mbox @ reli @ (mbox @ relr @ X0))))),
% 2.27/0.65 inference(rectify,[],[f23])).
% 2.27/0.65 thf(f23,axiom,(
% 2.27/0.65 (cs4_box = (^[X7 : $i > $o] : (mbox @ reli @ (mbox @ relr @ X7))))),
% 2.27/0.65 file('/export/starexec/sandbox/tmp/tmp.Uj9RpnQn0m/Vampire---4.8_31496',cs4_box)).
% 2.27/0.65 thf(f145,plain,(
% 2.27/0.65 (bl_says = (^[Y0 : individuals]: ((^[Y1 : $i > $o]: (cs4_box @ (cs4_impl @ (bl_princ @ (princ_inj @ Y0)) @ Y1))))))),
% 2.27/0.65 inference(cnf_transformation,[],[f84])).
% 2.27/0.65 thf(f84,plain,(
% 2.27/0.65 (bl_says = (^[Y0 : individuals]: ((^[Y1 : $i > $o]: (cs4_box @ (cs4_impl @ (bl_princ @ (princ_inj @ Y0)) @ Y1))))))),
% 2.27/0.65 inference(fool_elimination,[],[f83])).
% 2.27/0.65 thf(f83,plain,(
% 2.27/0.65 (bl_says = (^[X0 : individuals, X1 : $i > $o] : (cs4_box @ (cs4_impl @ (bl_princ @ (princ_inj @ X0)) @ X1))))),
% 2.27/0.65 inference(rectify,[],[f38])).
% 2.27/0.65 thf(f38,axiom,(
% 2.27/0.65 (bl_says = (^[X9 : individuals, X7 : $i > $o] : (cs4_box @ (cs4_impl @ (bl_princ @ (princ_inj @ X9)) @ X7))))),
% 2.27/0.65 file('/export/starexec/sandbox/tmp/tmp.Uj9RpnQn0m/Vampire---4.8_31496',bl_says)).
% 2.27/0.65 thf(f173,plain,(
% 2.27/0.65 (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]: ((Y6 @ Y8) | (Y7 @ Y8))))))) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (~ (Y6 @ Y7))))) @ Y4) @ Y5)))) @ Y2 @ Y3))))) @ Y0 @ Y1)))))),
% 2.27/0.65 inference(definition_unfolding,[],[f146,f165])).
% 2.27/0.65 thf(f146,plain,(
% 2.27/0.65 (bl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (cs4_impl @ Y0 @ Y1)))))),
% 2.27/0.65 inference(cnf_transformation,[],[f92])).
% 2.27/0.65 thf(f92,plain,(
% 2.27/0.65 (bl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (cs4_impl @ Y0 @ Y1)))))),
% 2.27/0.65 inference(fool_elimination,[],[f91])).
% 2.27/0.65 thf(f91,plain,(
% 2.27/0.65 (bl_impl = (^[X0 : $i > $o, X1 : $i > $o] : (cs4_impl @ X0 @ X1)))),
% 2.27/0.65 inference(rectify,[],[f34])).
% 2.27/0.65 thf(f34,axiom,(
% 2.27/0.65 (bl_impl = (^[X7 : $i > $o, X8 : $i > $o] : (cs4_impl @ X7 @ X8)))),
% 2.27/0.65 file('/export/starexec/sandbox/tmp/tmp.Uj9RpnQn0m/Vampire---4.8_31496',bl_impl)).
% 2.27/0.65 thf(f176,plain,(
% 2.27/0.65 (bl_valid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 2.27/0.65 inference(definition_unfolding,[],[f148,f136])).
% 2.27/0.65 thf(f148,plain,(
% 2.27/0.65 (mvalid = bl_valid)),
% 2.27/0.65 inference(cnf_transformation,[],[f73])).
% 2.27/0.65 thf(f73,plain,(
% 2.27/0.65 (mvalid = bl_valid)),
% 2.27/0.65 inference(fool_elimination,[],[f39])).
% 2.27/0.65 thf(f39,axiom,(
% 2.27/0.65 (mvalid = bl_valid)),
% 2.27/0.65 file('/export/starexec/sandbox/tmp/tmp.Uj9RpnQn0m/Vampire---4.8_31496',bl_valid_def)).
% 2.27/0.65 thf(f128,plain,(
% 2.27/0.65 ((~ (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ individuals @ (^[Y1 : individuals]: (bl_valid @ (bl_impl @ (bl_says @ Y1 @ (bl_says @ Y1 @ (bl_atom @ Y0))) @ (bl_says @ Y1 @ (bl_atom @ Y0))))))))) = $true)),
% 2.27/0.65 inference(cnf_transformation,[],[f116])).
% 2.27/0.65 thf(f116,plain,(
% 2.27/0.65 ((~ (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ individuals @ (^[Y1 : individuals]: (bl_valid @ (bl_impl @ (bl_says @ Y1 @ (bl_says @ Y1 @ (bl_atom @ Y0))) @ (bl_says @ Y1 @ (bl_atom @ Y0))))))))) = $true)),
% 2.27/0.65 inference(fool_elimination,[],[f115])).
% 2.27/0.65 thf(f115,plain,(
% 2.27/0.65 ~! [X0 : individuals,X1 : $i > $o] : (bl_valid @ (bl_impl @ (bl_says @ X0 @ (bl_says @ X0 @ (bl_atom @ X1))) @ (bl_says @ X0 @ (bl_atom @ X1))))),
% 2.27/0.65 inference(rectify,[],[f42])).
% 2.27/0.65 thf(f42,negated_conjecture,(
% 2.27/0.65 ~! [X9 : individuals,X7 : $i > $o] : (bl_valid @ (bl_impl @ (bl_says @ X9 @ (bl_says @ X9 @ (bl_atom @ X7))) @ (bl_says @ X9 @ (bl_atom @ X7))))),
% 2.27/0.65 inference(negated_conjecture,[],[f41])).
% 2.27/0.65 thf(f41,conjecture,(
% 2.27/0.65 ! [X9 : individuals,X7 : $i > $o] : (bl_valid @ (bl_impl @ (bl_says @ X9 @ (bl_says @ X9 @ (bl_atom @ X7))) @ (bl_says @ X9 @ (bl_atom @ X7))))),
% 2.27/0.65 file('/export/starexec/sandbox/tmp/tmp.Uj9RpnQn0m/Vampire---4.8_31496',bl_c4)).
% 2.27/0.65 thf(f388,plain,(
% 2.27/0.65 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => (princ_inj @ sK3 @ Y0))))) | ($false = (reli @ X1 @ X2)) | ($false = (reli @ sK6 @ X0)) | ($false = (reli @ X2 @ X4)) | ($false = (relr @ X0 @ X1)) | ($false = (relr @ X4 @ X3)) | ($false = (reli @ X3 @ sK10))) )),
% 2.27/0.65 inference(trivial_inequality_removal,[],[f387])).
% 2.27/0.65 thf(f387,plain,(
% 2.27/0.65 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($false = (reli @ sK6 @ X0)) | ($false = (reli @ X1 @ X2)) | ($false = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => (princ_inj @ sK3 @ Y0))))) | ($false = (reli @ X3 @ sK10)) | ($false = (relr @ X4 @ X3)) | ($false = (relr @ X0 @ X1)) | ($false = (reli @ X2 @ X4))) )),
% 2.27/0.65 inference(forward_demodulation,[],[f386,f266])).
% 2.27/0.65 thf(f266,plain,(
% 2.27/0.65 ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (sK2 @ Y0)))))),
% 2.27/0.65 inference(binary_proxy_clausification,[],[f264])).
% 2.27/0.65 thf(f386,plain,(
% 2.27/0.65 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($false = (reli @ X2 @ X4)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (sK2 @ Y0))))) | ($false = (relr @ X4 @ X3)) | ($false = (reli @ X1 @ X2)) | ($false = (reli @ X3 @ sK10)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => (princ_inj @ sK3 @ Y0))))) | ($false = (reli @ sK6 @ X0)) | ($false = (relr @ X0 @ X1))) )),
% 2.27/0.65 inference(trivial_inequality_removal,[],[f381])).
% 2.27/0.65 thf(f381,plain,(
% 2.27/0.65 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($false = (reli @ sK6 @ X0)) | ($false = (relr @ X0 @ X1)) | ($false = (reli @ X3 @ sK10)) | ($false = (relr @ X4 @ X3)) | ($false = (reli @ X2 @ X4)) | ($false = (reli @ X1 @ X2)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (sK2 @ Y0))))) | ($false = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => (princ_inj @ sK3 @ Y0)))))) )),
% 2.27/0.65 inference(superposition,[],[f268,f366])).
% 2.27/0.65 thf(f366,plain,(
% 2.27/0.65 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X6 @ Y0) => (princ_inj @ sK3 @ Y0))))) | ($false = (reli @ sK6 @ X1)) | ($false = (reli @ X2 @ X3)) | ($false = (relr @ X1 @ X2)) | ((reli @ X5 @ X6) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK3 @ Y0))))) | ($false = (reli @ X3 @ X4)) | ($false = (relr @ X4 @ X5)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X6 @ Y0) => (sK2 @ Y0)))))) )),
% 2.27/0.65 inference(not_proxy_clausification,[],[f365])).
% 2.27/0.65 thf(f365,plain,(
% 2.27/0.65 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($false = (reli @ X2 @ X3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK3 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X6 @ Y0) => (princ_inj @ sK3 @ Y0))))) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X6 @ Y0) => (sK2 @ Y0))))) | ($false = (relr @ X1 @ X2)) | ($false = (reli @ sK6 @ X1)) | ($false = (relr @ X4 @ X5)) | ((reli @ X5 @ X6) = $false) | ($false = (reli @ X3 @ X4))) )),
% 2.27/0.65 inference(binary_proxy_clausification,[],[f364])).
% 2.27/0.65 thf(f364,plain,(
% 2.27/0.65 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($false = (reli @ sK6 @ X1)) | ($false = (relr @ X4 @ X5)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK3 @ Y0))))) | ((reli @ X5 @ X6) = $false) | ($false = (relr @ X1 @ X2)) | ($false = (reli @ X2 @ X3)) | ($false = (reli @ X3 @ X4)) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X6 @ Y0) => (princ_inj @ sK3 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((reli @ X6 @ Y0) => (sK2 @ Y0))))))) )),
% 2.27/0.65 inference(binary_proxy_clausification,[],[f362])).
% 2.27/0.65 thf(f362,plain,(
% 2.27/0.65 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($false = (reli @ X2 @ X3)) | ($false = (relr @ X1 @ X2)) | ($false = (reli @ X3 @ X4)) | ($true = ((reli @ X5 @ X6) => ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X6 @ Y0) => (princ_inj @ sK3 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((reli @ X6 @ Y0) => (sK2 @ Y0))))))) | ($false = (reli @ sK6 @ X1)) | ($false = (relr @ X4 @ X5)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK3 @ Y0)))))) )),
% 2.27/0.65 inference(beta_eta_normalization,[],[f358])).
% 2.27/0.65 thf(f358,plain,(
% 2.27/0.65 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($false = (reli @ sK6 @ X1)) | ($false = (reli @ X2 @ X3)) | ($false = (reli @ X3 @ X4)) | ($true = ((^[Y0 : $i]: ((reli @ X5 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK3 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK2 @ Y1))))))) @ X6)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK3 @ Y0))))) | ($false = (relr @ X1 @ X2)) | ($false = (relr @ X4 @ X5))) )),
% 2.27/0.65 inference(pi_clausification,[],[f323])).
% 2.27/0.65 thf(f323,plain,(
% 2.27/0.65 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((reli @ X5 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK3 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK2 @ Y1)))))))) = $true) | ($false = (relr @ X4 @ X5)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK3 @ Y0))))) | ($false = (reli @ sK6 @ X1)) | ($false = (reli @ X2 @ X3)) | ($false = (reli @ X3 @ X4)) | ($false = (relr @ X1 @ X2))) )),
% 2.27/0.65 inference(binary_proxy_clausification,[],[f320])).
% 2.27/0.65 thf(f320,plain,(
% 2.27/0.65 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (($false = (relr @ X1 @ X2)) | ($false = (reli @ X2 @ X3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK3 @ Y0))))) | ($false = (reli @ X3 @ X4)) | (((relr @ X4 @ X5) => (!! @ $i @ (^[Y0 : $i]: ((reli @ X5 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK3 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK2 @ Y1))))))))) = $true) | ($false = (reli @ sK6 @ X1))) )),
% 2.27/0.65 inference(beta_eta_normalization,[],[f317])).
% 2.27/0.65 thf(f317,plain,(
% 2.27/0.65 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (($false = (reli @ X3 @ X4)) | ($true = ((^[Y0 : $i]: ((relr @ X4 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK3 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK2 @ Y2)))))))))) @ X5)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK3 @ Y0))))) | ($false = (reli @ X2 @ X3)) | ($false = (relr @ X1 @ X2)) | ($false = (reli @ sK6 @ X1))) )),
% 2.27/0.65 inference(pi_clausification,[],[f308])).
% 2.27/0.65 thf(f308,plain,(
% 2.27/0.65 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((relr @ X4 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK3 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK2 @ Y2)))))))))))) | ($false = (relr @ X1 @ X2)) | ($false = (reli @ X2 @ X3)) | ($false = (reli @ X3 @ X4)) | ($false = (reli @ sK6 @ X1)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK3 @ Y0)))))) )),
% 2.27/0.65 inference(binary_proxy_clausification,[],[f306])).
% 2.27/0.65 thf(f306,plain,(
% 2.27/0.65 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (reli @ X2 @ X3)) | ($true = ((reli @ X3 @ X4) => (!! @ $i @ (^[Y0 : $i]: ((relr @ X4 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK3 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK2 @ Y2))))))))))))) | ($false = (relr @ X1 @ X2)) | ($false = (reli @ sK6 @ X1)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK3 @ Y0)))))) )),
% 2.27/0.65 inference(beta_eta_normalization,[],[f302])).
% 2.27/0.65 thf(f302,plain,(
% 2.27/0.65 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK3 @ Y0))))) | ($false = (relr @ X1 @ X2)) | (((^[Y0 : $i]: ((reli @ X3 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK3 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK2 @ Y3))))))))))))) @ X4) = $true) | ($false = (reli @ sK6 @ X1)) | ($false = (reli @ X2 @ X3))) )),
% 2.27/0.65 inference(pi_clausification,[],[f295])).
% 2.27/0.65 thf(f295,plain,(
% 2.27/0.65 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK3 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK2 @ Y3))))))))))))))) | ($false = (reli @ sK6 @ X1)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK3 @ Y0))))) | ($false = (reli @ X2 @ X3)) | ($false = (relr @ X1 @ X2))) )),
% 2.27/0.65 inference(not_proxy_clausification,[],[f294])).
% 2.27/0.65 thf(f294,plain,(
% 2.27/0.65 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (relr @ X1 @ X2)) | ($false = (reli @ X2 @ X3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK3 @ Y0))))) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK3 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK2 @ Y3))))))))))))))) | ($false = (reli @ sK6 @ X1))) )),
% 2.27/0.65 inference(binary_proxy_clausification,[],[f293])).
% 2.27/0.65 thf(f293,plain,(
% 2.27/0.65 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK3 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK3 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK2 @ Y3)))))))))))))))) | ($false = (reli @ X2 @ X3)) | ($false = (reli @ sK6 @ X1)) | ($false = (relr @ X1 @ X2))) )),
% 2.27/0.65 inference(binary_proxy_clausification,[],[f292])).
% 2.27/0.65 thf(f292,plain,(
% 2.27/0.65 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((reli @ X2 @ X3) => ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK3 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK3 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK2 @ Y3))))))))))))))))) | ($false = (relr @ X1 @ X2)) | ($false = (reli @ sK6 @ X1))) )),
% 2.27/0.65 inference(beta_eta_normalization,[],[f291])).
% 2.27/0.65 thf(f291,plain,(
% 2.27/0.65 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((reli @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK3 @ 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) => (princ_inj @ sK3 @ Y4))))) | (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK2 @ Y4))))))))))))))))) @ X3)) | ($false = (relr @ X1 @ X2)) | ($false = (reli @ sK6 @ X1))) )),
% 2.27/0.65 inference(pi_clausification,[],[f275])).
% 2.27/0.65 thf(f275,plain,(
% 2.27/0.65 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK3 @ 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) => (princ_inj @ sK3 @ Y4))))) | (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK2 @ Y4))))))))))))))))))) | ($false = (reli @ sK6 @ X1)) | ($false = (relr @ X1 @ X2))) )),
% 2.27/0.65 inference(binary_proxy_clausification,[],[f274])).
% 2.27/0.65 thf(f274,plain,(
% 2.27/0.65 ( ! [X2 : $i,X1 : $i] : (($true = ((relr @ X1 @ X2) => (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK3 @ 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) => (princ_inj @ sK3 @ Y4))))) | (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK2 @ Y4)))))))))))))))))))) | ($false = (reli @ sK6 @ X1))) )),
% 2.27/0.65 inference(beta_eta_normalization,[],[f273])).
% 2.27/0.65 thf(f273,plain,(
% 2.27/0.65 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((relr @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK3 @ 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) => (princ_inj @ sK3 @ Y5))))) | (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (sK2 @ Y5)))))))))))))))))))) @ X2)) | ($false = (reli @ sK6 @ X1))) )),
% 2.27/0.65 inference(pi_clausification,[],[f261])).
% 2.27/0.65 thf(f261,plain,(
% 2.27/0.65 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((relr @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK3 @ 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) => (princ_inj @ sK3 @ Y5))))) | (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (sK2 @ Y5)))))))))))))))))))))) | ($false = (reli @ sK6 @ X1))) )),
% 2.27/0.65 inference(binary_proxy_clausification,[],[f260])).
% 2.27/0.65 thf(f260,plain,(
% 2.27/0.65 ( ! [X1 : $i] : ((((reli @ sK6 @ X1) => (!! @ $i @ (^[Y0 : $i]: ((relr @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK3 @ 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) => (princ_inj @ sK3 @ Y5))))) | (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (sK2 @ Y5)))))))))))))))))))))) = $true)) )),
% 2.27/0.65 inference(beta_eta_normalization,[],[f259])).
% 2.27/0.65 thf(f259,plain,(
% 2.27/0.65 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((reli @ sK6 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK3 @ 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) => (princ_inj @ sK3 @ Y6))))) | (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (sK2 @ Y6))))))))))))))))))))))) @ X1) = $true)) )),
% 2.27/0.65 inference(pi_clausification,[],[f236])).
% 2.27/0.65 thf(f236,plain,(
% 2.27/0.65 ($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ sK6 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK3 @ 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) => (princ_inj @ sK3 @ Y6))))) | (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (sK2 @ Y6)))))))))))))))))))))))))),
% 2.27/0.65 inference(not_proxy_clausification,[],[f235])).
% 2.27/0.65 thf(f235,plain,(
% 2.27/0.65 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK6 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK3 @ 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) => (princ_inj @ sK3 @ Y6))))) | (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (sK2 @ Y6))))))))))))))))))))))))))),
% 2.27/0.65 inference(binary_proxy_clausification,[],[f232])).
% 2.27/0.65 thf(f415,plain,(
% 2.27/0.65 ~spl0_4),
% 2.27/0.65 inference(avatar_contradiction_clause,[],[f414])).
% 2.27/0.65 thf(f414,plain,(
% 2.27/0.65 $false | ~spl0_4),
% 2.27/0.65 inference(trivial_inequality_removal,[],[f413])).
% 2.27/0.65 thf(f413,plain,(
% 2.27/0.65 ($false = $true) | ~spl0_4),
% 2.27/0.65 inference(backward_demodulation,[],[f265,f412])).
% 2.27/0.65 thf(f412,plain,(
% 2.27/0.65 ($false = (reli @ sK9 @ sK10)) | ~spl0_4),
% 2.27/0.65 inference(trivial_inequality_removal,[],[f411])).
% 2.27/0.65 thf(f411,plain,(
% 2.27/0.65 ($false = $true) | ($false = (reli @ sK9 @ sK10)) | ~spl0_4),
% 2.27/0.65 inference(forward_demodulation,[],[f409,f254])).
% 2.27/0.65 thf(f254,plain,(
% 2.27/0.65 ((reli @ sK6 @ sK8) = $true)),
% 2.27/0.65 inference(binary_proxy_clausification,[],[f252])).
% 2.27/0.65 thf(f409,plain,(
% 2.27/0.65 ($false = (reli @ sK9 @ sK10)) | ($false = (reli @ sK6 @ sK8)) | ~spl0_4),
% 2.27/0.65 inference(trivial_inequality_removal,[],[f401])).
% 2.27/0.65 thf(f401,plain,(
% 2.27/0.65 ($false = $true) | ($false = (reli @ sK9 @ sK10)) | ($false = (reli @ sK6 @ sK8)) | ~spl0_4),
% 2.27/0.65 inference(superposition,[],[f397,f258])).
% 2.27/0.65 thf(f258,plain,(
% 2.27/0.65 ((relr @ sK8 @ sK9) = $true)),
% 2.27/0.65 inference(binary_proxy_clausification,[],[f256])).
% 2.27/0.65 thf(f397,plain,(
% 2.27/0.65 ( ! [X0 : $i,X1 : $i] : (($false = (relr @ X0 @ X1)) | ($false = (reli @ sK6 @ X0)) | ($false = (reli @ X1 @ sK10))) ) | ~spl0_4),
% 2.27/0.65 inference(avatar_component_clause,[],[f396])).
% 2.27/0.65 thf(f265,plain,(
% 2.27/0.65 ($true = (reli @ sK9 @ sK10))),
% 2.27/0.65 inference(binary_proxy_clausification,[],[f263])).
% 2.27/0.65 % SZS output end Proof for Vampire---4
% 2.27/0.65 % (31659)------------------------------
% 2.27/0.65 % (31659)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.27/0.65 % (31659)Termination reason: Refutation
% 2.27/0.65
% 2.27/0.65 % (31659)Memory used [KB]: 6268
% 2.27/0.65 % (31659)Time elapsed: 0.047 s
% 2.27/0.65 % (31659)Instructions burned: 116 (million)
% 2.27/0.65 % (31659)------------------------------
% 2.27/0.65 % (31659)------------------------------
% 2.27/0.65 % (31604)Success in time 0.28 s
% 2.27/0.65 % Vampire---4.8 exiting
%------------------------------------------------------------------------------