TSTP Solution File: PUZ108^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : PUZ108^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 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 : n004.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 08:49:14 EDT 2024
% Result : Theorem 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : PUZ108^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.07/0.15 % 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 : n004.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 18:04:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.3jEM7fr1Wl/Vampire---4.8_612
% 0.14/0.37 % (901)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 (3000ds/2Mi)
% 0.14/0.37 % (901)Instruction limit reached!
% 0.14/0.37 % (901)------------------------------
% 0.14/0.37 % (901)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (901)Termination reason: Unknown
% 0.14/0.37 % (901)Termination phase: Saturation
% 0.14/0.37
% 0.14/0.37 % (901)Memory used [KB]: 895
% 0.14/0.37 % (901)Time elapsed: 0.003 s
% 0.14/0.37 % (901)Instructions burned: 2 (million)
% 0.14/0.37 % (901)------------------------------
% 0.14/0.37 % (901)------------------------------
% 0.14/0.38 % (896)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 (3000ds/4Mi)
% 0.14/0.38 % (895)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (3000ds/183Mi)
% 0.14/0.38 % (900)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.14/0.38 % (903)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.14/0.38 % (899)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 (3000ds/27Mi)
% 0.14/0.38 % (902)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 (3000ds/275Mi)
% 0.14/0.38 % (904)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 (3000ds/3Mi)
% 0.14/0.38 % (902)Refutation not found, incomplete strategy
% 0.14/0.38 % (902)------------------------------
% 0.14/0.38 % (902)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (900)Instruction limit reached!
% 0.14/0.38 % (900)------------------------------
% 0.14/0.38 % (900)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (900)Termination reason: Unknown
% 0.14/0.38 % (900)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (900)Memory used [KB]: 5500
% 0.14/0.38 % (900)Time elapsed: 0.004 s
% 0.14/0.38 % (900)Instructions burned: 3 (million)
% 0.14/0.38 % (900)------------------------------
% 0.14/0.38 % (900)------------------------------
% 0.14/0.38 % (902)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % (902)Memory used [KB]: 5500
% 0.14/0.38 % (902)Time elapsed: 0.004 s
% 0.14/0.38 % (902)Instructions burned: 2 (million)
% 0.14/0.38 % (902)------------------------------
% 0.14/0.38 % (902)------------------------------
% 0.14/0.38 % (896)Instruction limit reached!
% 0.14/0.38 % (896)------------------------------
% 0.14/0.38 % (896)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (896)Termination reason: Unknown
% 0.14/0.38 % (896)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (896)Memory used [KB]: 5500
% 0.14/0.38 % (896)Time elapsed: 0.005 s
% 0.14/0.38 % (896)Instructions burned: 4 (million)
% 0.14/0.38 % (896)------------------------------
% 0.14/0.38 % (896)------------------------------
% 0.14/0.38 % (899)Refutation not found, incomplete strategy
% 0.14/0.38 % (899)------------------------------
% 0.14/0.38 % (899)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (904)Instruction limit reached!
% 0.14/0.38 % (904)------------------------------
% 0.14/0.38 % (904)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (904)Termination reason: Unknown
% 0.14/0.38 % (904)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (904)Memory used [KB]: 5500
% 0.14/0.38 % (904)Time elapsed: 0.005 s
% 0.14/0.38 % (904)Instructions burned: 4 (million)
% 0.14/0.38 % (904)------------------------------
% 0.14/0.38 % (904)------------------------------
% 0.14/0.38 % (899)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % (899)Memory used [KB]: 5500
% 0.14/0.38 % (899)Time elapsed: 0.005 s
% 0.14/0.38 % (899)Instructions burned: 5 (million)
% 0.14/0.38 % (899)------------------------------
% 0.14/0.38 % (899)------------------------------
% 0.14/0.38 % (905)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 % (903)Instruction limit reached!
% 0.14/0.39 % (903)------------------------------
% 0.14/0.39 % (903)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (903)Termination reason: Unknown
% 0.14/0.39 % (903)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (903)Memory used [KB]: 5628
% 0.14/0.39 % (903)Time elapsed: 0.014 s
% 0.14/0.39 % (903)Instructions burned: 18 (million)
% 0.14/0.39 % (903)------------------------------
% 0.14/0.39 % (903)------------------------------
% 0.14/0.39 % (906)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 % (907)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 % (908)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 % (909)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)
% 0.14/0.39 % (907)Instruction limit reached!
% 0.14/0.39 % (907)------------------------------
% 0.14/0.39 % (907)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (907)Termination reason: Unknown
% 0.14/0.39 % (907)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (907)Memory used [KB]: 5500
% 0.14/0.39 % (907)Time elapsed: 0.025 s
% 0.14/0.39 % (907)Instructions burned: 3 (million)
% 0.14/0.39 % (907)------------------------------
% 0.14/0.39 % (907)------------------------------
% 0.14/0.39 % (910)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 % (909)Instruction limit reached!
% 0.14/0.40 % (909)------------------------------
% 0.14/0.40 % (909)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (909)Termination reason: Unknown
% 0.14/0.40 % (909)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (909)Memory used [KB]: 1023
% 0.14/0.40 % (909)Time elapsed: 0.007 s
% 0.14/0.40 % (909)Instructions burned: 7 (million)
% 0.14/0.40 % (909)------------------------------
% 0.14/0.40 % (909)------------------------------
% 0.14/0.40 % (906)Refutation not found, incomplete strategy
% 0.14/0.40 % (906)------------------------------
% 0.14/0.40 % (906)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (906)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.40
% 0.14/0.40
% 0.14/0.40 % (906)Memory used [KB]: 5628
% 0.14/0.40 % (906)Time elapsed: 0.010 s
% 0.14/0.40 % (906)Instructions burned: 11 (million)
% 0.14/0.40 % (906)------------------------------
% 0.14/0.40 % (906)------------------------------
% 0.14/0.40 % (905)Instruction limit reached!
% 0.14/0.40 % (905)------------------------------
% 0.14/0.40 % (905)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (905)Termination reason: Unknown
% 0.14/0.40 % (905)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (905)Memory used [KB]: 5884
% 0.14/0.40 % (905)Time elapsed: 0.040 s
% 0.14/0.40 % (905)Instructions burned: 38 (million)
% 0.14/0.40 % (905)------------------------------
% 0.14/0.40 % (905)------------------------------
% 0.14/0.40 % (911)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)
% 0.14/0.40 % (911)Instruction limit reached!
% 0.14/0.40 % (911)------------------------------
% 0.14/0.40 % (911)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (911)Termination reason: Unknown
% 0.14/0.40 % (911)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (911)Memory used [KB]: 5500
% 0.14/0.40 % (911)Time elapsed: 0.004 s
% 0.14/0.40 % (911)Instructions burned: 3 (million)
% 0.14/0.40 % (911)------------------------------
% 0.14/0.40 % (911)------------------------------
% 0.20/0.41 % (910)Instruction limit reached!
% 0.20/0.41 % (910)------------------------------
% 0.20/0.41 % (910)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (910)Termination reason: Unknown
% 0.20/0.41 % (910)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (910)Memory used [KB]: 5756
% 0.20/0.41 % (910)Time elapsed: 0.038 s
% 0.20/0.41 % (910)Instructions burned: 16 (million)
% 0.20/0.41 % (910)------------------------------
% 0.20/0.41 % (910)------------------------------
% 0.20/0.41 % (912)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)
% 0.20/0.41 % (912)Instruction limit reached!
% 0.20/0.41 % (912)------------------------------
% 0.20/0.41 % (912)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (912)Termination reason: Unknown
% 0.20/0.41 % (912)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (912)Memory used [KB]: 1023
% 0.20/0.41 % (912)Time elapsed: 0.004 s
% 0.20/0.41 % (912)Instructions burned: 3 (million)
% 0.20/0.41 % (912)------------------------------
% 0.20/0.41 % (912)------------------------------
% 0.20/0.41 % (914)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)
% 0.20/0.41 % (914)Instruction limit reached!
% 0.20/0.41 % (914)------------------------------
% 0.20/0.41 % (914)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (914)Termination reason: Unknown
% 0.20/0.41 % (914)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (914)Memory used [KB]: 5500
% 0.20/0.41 % (914)Time elapsed: 0.003 s
% 0.20/0.41 % (914)Instructions burned: 3 (million)
% 0.20/0.41 % (914)------------------------------
% 0.20/0.41 % (914)------------------------------
% 0.20/0.41 % (913)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)
% 0.20/0.42 % (913)Refutation not found, incomplete strategy
% 0.20/0.42 % (913)------------------------------
% 0.20/0.42 % (913)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (913)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.42
% 0.20/0.42
% 0.20/0.42 % (913)Memory used [KB]: 5500
% 0.20/0.42 % (913)Time elapsed: 0.003 s
% 0.20/0.42 % (913)Instructions burned: 2 (million)
% 0.20/0.42 % (913)------------------------------
% 0.20/0.42 % (913)------------------------------
% 0.20/0.42 % (915)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)
% 0.20/0.42 % (915)Instruction limit reached!
% 0.20/0.42 % (915)------------------------------
% 0.20/0.42 % (915)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (915)Termination reason: Unknown
% 0.20/0.42 % (915)Termination phase: Saturation
% 0.20/0.42
% 0.20/0.42 % (915)Memory used [KB]: 5500
% 0.20/0.42 % (915)Time elapsed: 0.004 s
% 0.20/0.42 % (915)Instructions burned: 4 (million)
% 0.20/0.42 % (915)------------------------------
% 0.20/0.42 % (915)------------------------------
% 0.20/0.42 % (916)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)
% 0.20/0.42 % (917)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)
% 0.20/0.42 % (919)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 % (919)Refutation not found, incomplete strategy
% 0.20/0.43 % (919)------------------------------
% 0.20/0.43 % (919)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (918)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 % (919)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.43
% 0.20/0.43
% 0.20/0.43 % (919)Memory used [KB]: 5500
% 0.20/0.43 % (919)Time elapsed: 0.002 s
% 0.20/0.43 % (919)Instructions burned: 1 (million)
% 0.20/0.43 % (919)------------------------------
% 0.20/0.43 % (919)------------------------------
% 0.20/0.43 % (918)Instruction limit reached!
% 0.20/0.43 % (918)------------------------------
% 0.20/0.43 % (918)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (918)Termination reason: Unknown
% 0.20/0.43 % (918)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (918)Memory used [KB]: 5500
% 0.20/0.43 % (918)Time elapsed: 0.006 s
% 0.20/0.43 % (918)Instructions burned: 6 (million)
% 0.20/0.43 % (918)------------------------------
% 0.20/0.43 % (918)------------------------------
% 0.20/0.43 % (920)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)
% 0.20/0.43 % (916)Instruction limit reached!
% 0.20/0.43 % (916)------------------------------
% 0.20/0.43 % (916)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (916)Termination reason: Unknown
% 0.20/0.43 % (916)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (916)Memory used [KB]: 5628
% 0.20/0.43 % (916)Time elapsed: 0.014 s
% 0.20/0.43 % (916)Instructions burned: 19 (million)
% 0.20/0.43 % (916)------------------------------
% 0.20/0.43 % (916)------------------------------
% 0.20/0.43 % (921)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 % (921)Instruction limit reached!
% 0.20/0.44 % (921)------------------------------
% 0.20/0.44 % (921)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (921)Termination reason: Unknown
% 0.20/0.44 % (921)Termination phase: Saturation
% 0.20/0.44
% 0.20/0.44 % (921)Memory used [KB]: 5500
% 0.20/0.44 % (921)Time elapsed: 0.006 s
% 0.20/0.44 % (921)Instructions burned: 6 (million)
% 0.20/0.44 % (921)------------------------------
% 0.20/0.44 % (921)------------------------------
% 0.20/0.44 % (922)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)
% 0.20/0.44 % (922)Refutation not found, incomplete strategy
% 0.20/0.44 % (922)------------------------------
% 0.20/0.44 % (922)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (922)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 % (922)Memory used [KB]: 5500
% 0.20/0.44 % (922)Time elapsed: 0.003 s
% 0.20/0.44 % (922)Instructions burned: 2 (million)
% 0.20/0.44 % (922)------------------------------
% 0.20/0.44 % (922)------------------------------
% 0.20/0.45 % (920)Instruction limit reached!
% 0.20/0.45 % (920)------------------------------
% 0.20/0.45 % (920)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (920)Termination reason: Unknown
% 0.20/0.45 % (920)Termination phase: Saturation
% 0.20/0.45
% 0.20/0.45 % (920)Memory used [KB]: 5628
% 0.20/0.45 % (920)Time elapsed: 0.018 s
% 0.20/0.45 % (920)Instructions burned: 21 (million)
% 0.20/0.45 % (920)------------------------------
% 0.20/0.45 % (920)------------------------------
% 0.20/0.45 % (923)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 % (924)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)
% 0.20/0.46 % (928)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 % (927)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)
% 0.20/0.46 % (927)Refutation not found, incomplete strategy
% 0.20/0.46 % (927)------------------------------
% 0.20/0.46 % (927)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (927)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.46
% 0.20/0.46
% 0.20/0.46 % (927)Memory used [KB]: 5500
% 0.20/0.46 % (927)Time elapsed: 0.005 s
% 0.20/0.46 % (927)Instructions burned: 2 (million)
% 0.20/0.46 % (927)------------------------------
% 0.20/0.46 % (927)------------------------------
% 0.20/0.47 % (928)Refutation not found, incomplete strategy
% 0.20/0.47 % (928)------------------------------
% 0.20/0.47 % (928)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47 % (928)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.47
% 0.20/0.47
% 0.20/0.47 % (928)Memory used [KB]: 5628
% 0.20/0.47 % (928)Time elapsed: 0.014 s
% 0.20/0.47 % (928)Instructions burned: 15 (million)
% 0.20/0.47 % (928)------------------------------
% 0.20/0.47 % (928)------------------------------
% 0.20/0.47 % (924)First to succeed.
% 0.20/0.47 % (937)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2999ds/17Mi)
% 0.20/0.48 % (924)Refutation found. Thanks to Tanya!
% 0.20/0.48 % SZS status Theorem for Vampire---4
% 0.20/0.48 % SZS output start Proof for Vampire---4
% 0.20/0.48 thf(func_def_0, type, s: $i > $i).
% 0.20/0.48 thf(func_def_1, type, cCKB_E2: $i > $i > $o).
% 0.20/0.48 thf(func_def_16, type, sK3: ($i > $o) > $i).
% 0.20/0.48 thf(func_def_17, type, sK4: $i > $o).
% 0.20/0.48 thf(func_def_18, type, ph5: !>[X0: $tType]:(X0)).
% 0.20/0.48 thf(f167,plain,(
% 0.20/0.48 $false),
% 0.20/0.48 inference(trivial_inequality_removal,[],[f160])).
% 0.20/0.48 thf(f160,plain,(
% 0.20/0.48 ($false = $true)),
% 0.20/0.48 inference(backward_demodulation,[],[f32,f159])).
% 0.20/0.48 thf(f159,plain,(
% 0.20/0.48 ((sK4 @ (s @ sK2)) = $false)),
% 0.20/0.48 inference(trivial_inequality_removal,[],[f158])).
% 0.20/0.48 thf(f158,plain,(
% 0.20/0.48 ($false = $true) | ((sK4 @ (s @ sK2)) = $false)),
% 0.20/0.48 inference(forward_demodulation,[],[f156,f30])).
% 0.20/0.48 thf(f30,plain,(
% 0.20/0.48 ((sK4 @ (s @ sK1)) = $false)),
% 0.20/0.48 inference(binary_proxy_clausification,[],[f29])).
% 0.20/0.48 thf(f29,plain,(
% 0.20/0.48 ($false = (((!! @ $i @ (^[Y0 : $i]: ((sK4 @ Y0) => (sK4 @ (s @ (s @ Y0)))))) & (sK4 @ (s @ sK2))) => (sK4 @ (s @ sK1))))),
% 0.20/0.48 inference(beta_eta_normalization,[],[f28])).
% 0.20/0.48 thf(f28,plain,(
% 0.20/0.48 ($false = ((^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (s @ (s @ Y1)))))) & (Y0 @ (s @ sK2))) => (Y0 @ (s @ sK1)))) @ sK4))),
% 0.20/0.48 inference(sigma_clausification,[],[f18])).
% 0.20/0.48 thf(f18,plain,(
% 0.20/0.48 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (s @ (s @ Y1)))))) & (Y0 @ (s @ sK2))) => (Y0 @ (s @ sK1))))))),
% 0.20/0.48 inference(binary_proxy_clausification,[],[f17])).
% 0.20/0.48 thf(f17,plain,(
% 0.20/0.48 ($false = ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (s @ (s @ Y1)))))) & (Y0 @ sK2)) => (Y0 @ sK1)))) => (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (s @ (s @ Y1)))))) & (Y0 @ (s @ sK2))) => (Y0 @ (s @ sK1)))))))),
% 0.20/0.48 inference(beta_eta_normalization,[],[f16])).
% 0.20/0.48 thf(f16,plain,(
% 0.20/0.48 ($false = ((^[Y0 : $i]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (Y1 @ (s @ (s @ Y2)))))) & (Y1 @ Y0)) => (Y1 @ sK1)))) => (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (Y1 @ (s @ (s @ Y2)))))) & (Y1 @ (s @ Y0))) => (Y1 @ (s @ sK1))))))) @ sK2))),
% 0.20/0.48 inference(sigma_clausification,[],[f15])).
% 0.20/0.48 thf(f15,plain,(
% 0.20/0.48 ($false = (!! @ $i @ (^[Y0 : $i]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (Y1 @ (s @ (s @ Y2)))))) & (Y1 @ Y0)) => (Y1 @ sK1)))) => (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (Y1 @ (s @ (s @ Y2)))))) & (Y1 @ (s @ Y0))) => (Y1 @ (s @ sK1)))))))))),
% 0.20/0.48 inference(beta_eta_normalization,[],[f14])).
% 0.20/0.48 thf(f14,plain,(
% 0.20/0.48 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ ($i > $o) @ (^[Y2 : $i > $o]: (((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y2 @ (s @ (s @ Y3)))))) & (Y2 @ Y1)) => (Y2 @ Y0)))) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y2 @ (s @ (s @ Y3)))))) & (Y2 @ (s @ Y1))) => (Y2 @ (s @ Y0))))))))) @ sK1))),
% 0.20/0.48 inference(sigma_clausification,[],[f13])).
% 0.20/0.48 thf(f13,plain,(
% 0.20/0.48 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ ($i > $o) @ (^[Y2 : $i > $o]: (((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y2 @ (s @ (s @ Y3)))))) & (Y2 @ Y1)) => (Y2 @ Y0)))) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y2 @ (s @ (s @ Y3)))))) & (Y2 @ (s @ Y1))) => (Y2 @ (s @ Y0)))))))))))),
% 0.20/0.48 inference(not_proxy_clausification,[],[f12])).
% 0.20/0.48 thf(f12,plain,(
% 0.20/0.48 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ ($i > $o) @ (^[Y2 : $i > $o]: (((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y2 @ (s @ (s @ Y3)))))) & (Y2 @ Y1)) => (Y2 @ Y0)))) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y2 @ (s @ (s @ Y3)))))) & (Y2 @ (s @ Y1))) => (Y2 @ (s @ Y0))))))))))) = $true)),
% 0.20/0.48 inference(beta_eta_normalization,[],[f11])).
% 0.20/0.48 thf(f11,plain,(
% 0.20/0.48 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ ($i > $o) @ (^[Y4 : $i > $o]: (((!! @ $i @ (^[Y5 : $i]: ((Y4 @ Y5) => (Y4 @ (s @ (s @ Y5)))))) & (Y4 @ Y2)) => (Y4 @ Y3))))))) @ Y1 @ Y0) => ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ ($i > $o) @ (^[Y4 : $i > $o]: (((!! @ $i @ (^[Y5 : $i]: ((Y4 @ Y5) => (Y4 @ (s @ (s @ Y5)))))) & (Y4 @ Y2)) => (Y4 @ Y3))))))) @ (s @ Y1) @ (s @ Y0)))))))) = $true)),
% 0.20/0.48 inference(definition_unfolding,[],[f9,f10,f10])).
% 0.20/0.48 thf(f10,plain,(
% 0.20/0.48 (cCKB_E2 = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y2 @ (s @ (s @ Y3)))))) & (Y2 @ Y0)) => (Y2 @ Y1))))))))),
% 0.20/0.48 inference(cnf_transformation,[],[f6])).
% 0.20/0.48 thf(f6,plain,(
% 0.20/0.48 (cCKB_E2 = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y2 @ (s @ (s @ Y3)))))) & (Y2 @ Y0)) => (Y2 @ Y1))))))))),
% 0.20/0.48 inference(fool_elimination,[],[f5])).
% 0.20/0.48 thf(f5,plain,(
% 0.20/0.48 (cCKB_E2 = (^[X0 : $i, X1 : $i] : (! [X2 : $i > $o] : (((X2 @ X0) & ! [X3] : ((X2 @ X3) => (X2 @ (s @ (s @ X3))))) => (X2 @ X1)))))),
% 0.20/0.48 inference(rectify,[],[f1])).
% 0.20/0.48 thf(f1,axiom,(
% 0.20/0.48 (cCKB_E2 = (^[X0 : $i, X1 : $i] : (! [X2 : $i > $o] : (((X2 @ X0) & ! [X3] : ((X2 @ X3) => (X2 @ (s @ (s @ X3))))) => (X2 @ X1)))))),
% 0.20/0.48 file('/export/starexec/sandbox/tmp/tmp.3jEM7fr1Wl/Vampire---4.8_612',cCKB_E2_def)).
% 0.20/0.48 thf(f9,plain,(
% 0.20/0.48 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cCKB_E2 @ Y1 @ Y0) => (cCKB_E2 @ (s @ Y1) @ (s @ Y0)))))))) = $true)),
% 0.20/0.48 inference(cnf_transformation,[],[f8])).
% 0.20/0.48 thf(f8,plain,(
% 0.20/0.48 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cCKB_E2 @ Y1 @ Y0) => (cCKB_E2 @ (s @ Y1) @ (s @ Y0)))))))) = $true)),
% 0.20/0.48 inference(fool_elimination,[],[f7])).
% 0.20/0.48 thf(f7,plain,(
% 0.20/0.48 ~! [X0,X1] : ((cCKB_E2 @ X0 @ X1) => (cCKB_E2 @ (s @ X0) @ (s @ X1)))),
% 0.20/0.48 inference(rectify,[],[f3])).
% 0.20/0.48 thf(f3,negated_conjecture,(
% 0.20/0.48 ~! [X0,X1] : ((cCKB_E2 @ X0 @ X1) => (cCKB_E2 @ (s @ X0) @ (s @ X1)))),
% 0.20/0.48 inference(negated_conjecture,[],[f2])).
% 0.20/0.48 thf(f2,conjecture,(
% 0.20/0.48 ! [X0,X1] : ((cCKB_E2 @ X0 @ X1) => (cCKB_E2 @ (s @ X0) @ (s @ X1)))),
% 0.20/0.48 file('/export/starexec/sandbox/tmp/tmp.3jEM7fr1Wl/Vampire---4.8_612',cCKB_L35000)).
% 0.20/0.48 thf(f156,plain,(
% 0.20/0.48 ((sK4 @ (s @ sK2)) = $false) | ((sK4 @ (s @ sK1)) = $true)),
% 0.20/0.48 inference(beta_eta_normalization,[],[f154])).
% 0.20/0.48 thf(f154,plain,(
% 0.20/0.48 ($false = (sK4 @ (s @ ((^[Y0 : $i]: (Y0)) @ sK2)))) | ((sK4 @ (s @ ((^[Y0 : $i]: (Y0)) @ sK1))) = $true)),
% 0.20/0.48 inference(equality_resolution,[],[f150])).
% 0.20/0.48 thf(f150,plain,(
% 0.20/0.48 ( ! [X0 : $i > $i] : (((sK3 @ (^[Y0 : $i]: (sK4 @ (s @ Y0)))) != (X0 @ (sK3 @ (^[Y0 : $i]: (sK4 @ (s @ (X0 @ Y0))))))) | ($false = (sK4 @ (s @ (X0 @ sK2)))) | ((sK4 @ (s @ (X0 @ sK1))) = $true)) )),
% 0.20/0.48 inference(beta_eta_normalization,[],[f149])).
% 0.20/0.48 thf(f149,plain,(
% 0.20/0.48 ( ! [X0 : $i > $i] : ((((^[Y0 : $i]: (sK4 @ ((^[Y1 : $i]: (s @ (X0 @ Y1))) @ Y0))) @ sK1) = $true) | ((X0 @ (sK3 @ (^[Y0 : $i]: (sK4 @ ((^[Y1 : $i]: (s @ (X0 @ Y1))) @ Y0))))) != (sK3 @ (^[Y0 : $i]: (sK4 @ (s @ Y0))))) | ($false = ((^[Y0 : $i]: (sK4 @ ((^[Y1 : $i]: (s @ (X0 @ Y1))) @ Y0))) @ sK2))) )),
% 0.20/0.48 inference(trivial_inequality_removal,[],[f148])).
% 0.20/0.48 thf(f148,plain,(
% 0.20/0.48 ( ! [X0 : $i > $i] : (($false = $true) | ($false = ((^[Y0 : $i]: (sK4 @ ((^[Y1 : $i]: (s @ (X0 @ Y1))) @ Y0))) @ sK2)) | (((^[Y0 : $i]: (sK4 @ ((^[Y1 : $i]: (s @ (X0 @ Y1))) @ Y0))) @ sK1) = $true) | ((X0 @ (sK3 @ (^[Y0 : $i]: (sK4 @ ((^[Y1 : $i]: (s @ (X0 @ Y1))) @ Y0))))) != (sK3 @ (^[Y0 : $i]: (sK4 @ (s @ Y0)))))) )),
% 0.20/0.48 inference(constrained_superposition,[],[f27,f145])).
% 0.20/0.48 thf(f145,plain,(
% 0.20/0.48 ($false = (sK4 @ (s @ (sK3 @ (^[Y0 : $i]: (sK4 @ (s @ Y0)))))))),
% 0.20/0.48 inference(trivial_inequality_removal,[],[f144])).
% 0.20/0.48 thf(f144,plain,(
% 0.20/0.48 ($false = $true) | ($false = (sK4 @ (s @ (sK3 @ (^[Y0 : $i]: (sK4 @ (s @ Y0)))))))),
% 0.20/0.48 inference(forward_demodulation,[],[f143,f32])).
% 0.20/0.48 thf(f143,plain,(
% 0.20/0.48 ((sK4 @ (s @ sK2)) = $false) | ($false = (sK4 @ (s @ (sK3 @ (^[Y0 : $i]: (sK4 @ (s @ Y0)))))))),
% 0.20/0.48 inference(trivial_inequality_removal,[],[f142])).
% 0.20/0.48 thf(f142,plain,(
% 0.20/0.48 ((sK4 @ (s @ sK2)) = $false) | ($false = $true) | ($false = (sK4 @ (s @ (sK3 @ (^[Y0 : $i]: (sK4 @ (s @ Y0)))))))),
% 0.20/0.48 inference(forward_demodulation,[],[f140,f30])).
% 0.20/0.48 thf(f140,plain,(
% 0.20/0.48 ((sK4 @ (s @ sK1)) = $true) | ($false = (sK4 @ (s @ (sK3 @ (^[Y0 : $i]: (sK4 @ (s @ Y0))))))) | ((sK4 @ (s @ sK2)) = $false)),
% 0.20/0.48 inference(beta_eta_normalization,[],[f138])).
% 0.20/0.48 thf(f138,plain,(
% 0.20/0.48 ($false = (sK4 @ (s @ ((^[Y0 : $i]: (Y0)) @ sK2)))) | ((sK4 @ (s @ ((^[Y0 : $i]: (Y0)) @ sK1))) = $true) | ($false = (sK4 @ (s @ (sK3 @ (^[Y0 : $i]: (sK4 @ (s @ ((^[Y1 : $i]: (Y1)) @ Y0))))))))),
% 0.20/0.48 inference(equality_resolution,[],[f74])).
% 0.20/0.48 thf(f74,plain,(
% 0.20/0.48 ( ! [X2 : $i,X1 : $i > $i] : (((X1 @ (s @ (s @ (sK3 @ (^[Y0 : $i]: (sK4 @ (s @ (X1 @ Y0)))))))) != (s @ X2)) | ((sK4 @ (s @ (X1 @ sK1))) = $true) | ($false = (sK4 @ (s @ (X1 @ sK2)))) | ((sK4 @ X2) = $false)) )),
% 0.20/0.48 inference(beta_eta_normalization,[],[f73])).
% 0.20/0.48 thf(f73,plain,(
% 0.20/0.48 ( ! [X2 : $i,X1 : $i > $i] : ((((^[Y0 : $i]: (sK4 @ ((^[Y1 : $i]: (s @ (X1 @ Y1))) @ Y0))) @ sK1) = $true) | ((X1 @ (s @ (s @ (sK3 @ (^[Y0 : $i]: (sK4 @ ((^[Y1 : $i]: (s @ (X1 @ Y1))) @ Y0))))))) != (s @ X2)) | (((^[Y0 : $i]: (sK4 @ ((^[Y1 : $i]: (s @ (X1 @ Y1))) @ Y0))) @ sK2) = $false) | ((sK4 @ X2) = $false)) )),
% 0.20/0.48 inference(trivial_inequality_removal,[],[f64])).
% 0.20/0.48 thf(f64,plain,(
% 0.20/0.48 ( ! [X2 : $i,X1 : $i > $i] : (((sK4 @ X2) = $false) | ((X1 @ (s @ (s @ (sK3 @ (^[Y0 : $i]: (sK4 @ ((^[Y1 : $i]: (s @ (X1 @ Y1))) @ Y0))))))) != (s @ X2)) | (((^[Y0 : $i]: (sK4 @ ((^[Y1 : $i]: (s @ (X1 @ Y1))) @ Y0))) @ sK1) = $true) | ($false = $true) | (((^[Y0 : $i]: (sK4 @ ((^[Y1 : $i]: (s @ (X1 @ Y1))) @ Y0))) @ sK2) = $false)) )),
% 0.20/0.48 inference(constrained_superposition,[],[f36,f26])).
% 0.20/0.48 thf(f26,plain,(
% 0.20/0.48 ( ! [X1 : $i > $o] : (($false = (X1 @ (s @ (s @ (sK3 @ X1))))) | ($false = (X1 @ sK2)) | ((X1 @ sK1) = $true)) )),
% 0.20/0.48 inference(binary_proxy_clausification,[],[f25])).
% 0.20/0.48 thf(f25,plain,(
% 0.20/0.48 ( ! [X1 : $i > $o] : ((((X1 @ (sK3 @ X1)) => (X1 @ (s @ (s @ (sK3 @ X1))))) = $false) | ((X1 @ sK1) = $true) | ($false = (X1 @ sK2))) )),
% 0.20/0.48 inference(beta_eta_normalization,[],[f24])).
% 0.20/0.48 thf(f24,plain,(
% 0.20/0.48 ( ! [X1 : $i > $o] : (((X1 @ sK1) = $true) | ($false = (X1 @ sK2)) | ($false = ((^[Y0 : $i]: ((X1 @ Y0) => (X1 @ (s @ (s @ Y0))))) @ (sK3 @ X1)))) )),
% 0.20/0.48 inference(sigma_clausification,[],[f23])).
% 0.20/0.48 thf(f23,plain,(
% 0.20/0.48 ( ! [X1 : $i > $o] : (((X1 @ sK1) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X1 @ (s @ (s @ Y0))))))) | ($false = (X1 @ sK2))) )),
% 0.20/0.48 inference(binary_proxy_clausification,[],[f22])).
% 0.20/0.48 thf(f22,plain,(
% 0.20/0.48 ( ! [X1 : $i > $o] : (($false = ((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X1 @ (s @ (s @ Y0)))))) & (X1 @ sK2))) | ((X1 @ sK1) = $true)) )),
% 0.20/0.48 inference(binary_proxy_clausification,[],[f21])).
% 0.20/0.48 thf(f21,plain,(
% 0.20/0.48 ( ! [X1 : $i > $o] : (((((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X1 @ (s @ (s @ Y0)))))) & (X1 @ sK2)) => (X1 @ sK1)) = $true)) )),
% 0.20/0.48 inference(beta_eta_normalization,[],[f20])).
% 0.20/0.48 thf(f20,plain,(
% 0.20/0.48 ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (s @ (s @ Y1)))))) & (Y0 @ sK2)) => (Y0 @ sK1))) @ X1) = $true)) )),
% 0.20/0.48 inference(pi_clausification,[],[f19])).
% 0.20/0.48 thf(f19,plain,(
% 0.20/0.48 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (s @ (s @ Y1)))))) & (Y0 @ sK2)) => (Y0 @ sK1)))) = $true)),
% 0.20/0.48 inference(binary_proxy_clausification,[],[f17])).
% 0.20/0.48 thf(f36,plain,(
% 0.20/0.48 ( ! [X1 : $i] : (((sK4 @ (s @ (s @ X1))) = $true) | ($false = (sK4 @ X1))) )),
% 0.20/0.48 inference(binary_proxy_clausification,[],[f35])).
% 0.20/0.48 thf(f35,plain,(
% 0.20/0.48 ( ! [X1 : $i] : ((((sK4 @ X1) => (sK4 @ (s @ (s @ X1)))) = $true)) )),
% 0.20/0.48 inference(beta_eta_normalization,[],[f34])).
% 0.20/0.48 thf(f34,plain,(
% 0.20/0.48 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((sK4 @ Y0) => (sK4 @ (s @ (s @ Y0))))) @ X1))) )),
% 0.20/0.48 inference(pi_clausification,[],[f33])).
% 0.20/0.48 thf(f33,plain,(
% 0.20/0.48 ((!! @ $i @ (^[Y0 : $i]: ((sK4 @ Y0) => (sK4 @ (s @ (s @ Y0)))))) = $true)),
% 0.20/0.48 inference(binary_proxy_clausification,[],[f31])).
% 0.20/0.48 thf(f31,plain,(
% 0.20/0.48 (((!! @ $i @ (^[Y0 : $i]: ((sK4 @ Y0) => (sK4 @ (s @ (s @ Y0)))))) & (sK4 @ (s @ sK2))) = $true)),
% 0.20/0.48 inference(binary_proxy_clausification,[],[f29])).
% 0.20/0.48 thf(f27,plain,(
% 0.20/0.48 ( ! [X1 : $i > $o] : (((X1 @ (sK3 @ X1)) = $true) | ($false = (X1 @ sK2)) | ((X1 @ sK1) = $true)) )),
% 0.20/0.48 inference(binary_proxy_clausification,[],[f25])).
% 0.20/0.48 thf(f32,plain,(
% 0.20/0.48 ((sK4 @ (s @ sK2)) = $true)),
% 0.20/0.48 inference(binary_proxy_clausification,[],[f31])).
% 0.20/0.48 % SZS output end Proof for Vampire---4
% 0.20/0.48 % (924)------------------------------
% 0.20/0.48 % (924)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48 % (924)Termination reason: Refutation
% 0.20/0.48
% 0.20/0.48 % (924)Memory used [KB]: 5628
% 0.20/0.48 % (924)Time elapsed: 0.030 s
% 0.20/0.48 % (924)Instructions burned: 24 (million)
% 0.20/0.48 % (924)------------------------------
% 0.20/0.48 % (924)------------------------------
% 0.20/0.48 % (894)Success in time 0.113 s
% 0.20/0.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------