TSTP Solution File: SEV291^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV291^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% 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 : 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 09:42:03 EDT 2024
% Result : Theorem 2.77s 0.73s
% Output : Refutation 2.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEV291^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% 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
% 0.15/0.36 % Computer : n012.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 11:55:25 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.15/0.36 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.KuHL4hL0TL/Vampire---4.8_10641
% 0.15/0.38 % (10921)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)
% 0.15/0.38 % (10921)Instruction limit reached!
% 0.15/0.38 % (10921)------------------------------
% 0.15/0.38 % (10921)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (10921)Termination reason: Unknown
% 0.15/0.38 % (10921)Termination phase: Property scanning
% 0.15/0.38
% 0.15/0.38 % (10921)Memory used [KB]: 895
% 0.15/0.38 % (10921)Time elapsed: 0.003 s
% 0.15/0.38 % (10917)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)
% 0.15/0.38 % (10921)Instructions burned: 2 (million)
% 0.15/0.38 % (10921)------------------------------
% 0.15/0.38 % (10921)------------------------------
% 0.15/0.38 % (10919)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)
% 0.15/0.38 % (10920)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.38 % (10918)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)
% 0.15/0.38 % (10922)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)
% 0.15/0.38 % (10923)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.15/0.38 % (10920)Instruction limit reached!
% 0.15/0.38 % (10920)------------------------------
% 0.15/0.38 % (10920)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (10920)Termination reason: Unknown
% 0.15/0.38 % (10920)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (10920)Memory used [KB]: 895
% 0.15/0.38 % (10920)Time elapsed: 0.003 s
% 0.15/0.38 % (10920)Instructions burned: 2 (million)
% 0.15/0.38 % (10920)------------------------------
% 0.15/0.38 % (10920)------------------------------
% 0.15/0.38 % (10922)Refutation not found, incomplete strategy
% 0.15/0.38 % (10922)------------------------------
% 0.15/0.38 % (10922)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (10918)Instruction limit reached!
% 0.15/0.38 % (10918)------------------------------
% 0.15/0.38 % (10918)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (10918)Termination reason: Unknown
% 0.15/0.38 % (10918)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (10918)Memory used [KB]: 5500
% 0.15/0.38 % (10918)Time elapsed: 0.004 s
% 0.15/0.38 % (10918)Instructions burned: 4 (million)
% 0.15/0.38 % (10918)------------------------------
% 0.15/0.38 % (10918)------------------------------
% 0.15/0.38 % (10922)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38
% 0.15/0.38
% 0.15/0.38 % (10922)Memory used [KB]: 5500
% 0.15/0.38 % (10922)Time elapsed: 0.004 s
% 0.15/0.38 % (10922)Instructions burned: 2 (million)
% 0.15/0.38 % (10922)------------------------------
% 0.15/0.38 % (10922)------------------------------
% 0.15/0.38 % (10924)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)
% 0.15/0.39 % (10924)Instruction limit reached!
% 0.15/0.39 % (10924)------------------------------
% 0.15/0.39 % (10924)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (10924)Termination reason: Unknown
% 0.15/0.39 % (10924)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (10924)Memory used [KB]: 5500
% 0.15/0.39 % (10924)Time elapsed: 0.004 s
% 0.15/0.39 % (10924)Instructions burned: 3 (million)
% 0.15/0.39 % (10924)------------------------------
% 0.15/0.39 % (10924)------------------------------
% 0.15/0.39 % (10923)Instruction limit reached!
% 0.15/0.39 % (10923)------------------------------
% 0.15/0.39 % (10923)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (10923)Termination reason: Unknown
% 0.15/0.39 % (10923)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (10923)Memory used [KB]: 5628
% 0.15/0.39 % (10923)Time elapsed: 0.014 s
% 0.15/0.39 % (10923)Instructions burned: 19 (million)
% 0.15/0.39 % (10923)------------------------------
% 0.15/0.39 % (10923)------------------------------
% 0.15/0.39 % (10928)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)
% 0.15/0.40 % (10929)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)
% 0.15/0.40 % (10919)Instruction limit reached!
% 0.15/0.40 % (10919)------------------------------
% 0.15/0.40 % (10919)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (10919)Termination reason: Unknown
% 0.15/0.40 % (10919)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (10919)Memory used [KB]: 5628
% 0.15/0.40 % (10919)Time elapsed: 0.018 s
% 0.15/0.40 % (10919)Instructions burned: 27 (million)
% 0.15/0.40 % (10919)------------------------------
% 0.15/0.40 % (10919)------------------------------
% 0.22/0.40 % (10931)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)
% 0.22/0.40 % (10932)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)
% 0.22/0.40 % (10931)Instruction limit reached!
% 0.22/0.40 % (10931)------------------------------
% 0.22/0.40 % (10931)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (10931)Termination reason: Unknown
% 0.22/0.40 % (10931)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (10931)Memory used [KB]: 5500
% 0.22/0.40 % (10931)Time elapsed: 0.004 s
% 0.22/0.40 % (10931)Instructions burned: 4 (million)
% 0.22/0.40 % (10931)------------------------------
% 0.22/0.40 % (10931)------------------------------
% 0.22/0.40 % (10934)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)
% 0.22/0.40 % (10934)Instruction limit reached!
% 0.22/0.40 % (10934)------------------------------
% 0.22/0.40 % (10934)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (10934)Termination reason: Unknown
% 0.22/0.40 % (10934)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.41 % (10934)Memory used [KB]: 1023
% 0.22/0.41 % (10934)Time elapsed: 0.007 s
% 0.22/0.41 % (10934)Instructions burned: 8 (million)
% 0.22/0.41 % (10934)------------------------------
% 0.22/0.41 % (10934)------------------------------
% 0.22/0.41 % (10929)Instruction limit reached!
% 0.22/0.41 % (10929)------------------------------
% 0.22/0.41 % (10929)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (10929)Termination reason: Unknown
% 0.22/0.41 % (10929)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (10929)Memory used [KB]: 5628
% 0.22/0.41 % (10929)Time elapsed: 0.012 s
% 0.22/0.41 % (10929)Instructions burned: 15 (million)
% 0.22/0.41 % (10929)------------------------------
% 0.22/0.41 % (10929)------------------------------
% 0.22/0.41 % (10939)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)
% 0.22/0.41 % (10942)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)
% 0.22/0.41 % (10942)Instruction limit reached!
% 0.22/0.41 % (10942)------------------------------
% 0.22/0.41 % (10942)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (10942)Termination reason: Unknown
% 0.22/0.41 % (10942)Termination phase: Twee Goal Transformation
% 0.22/0.41
% 0.22/0.41 % (10942)Memory used [KB]: 1023
% 0.22/0.41 % (10928)Instruction limit reached!
% 0.22/0.41 % (10928)------------------------------
% 0.22/0.41 % (10928)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (10942)Time elapsed: 0.004 s
% 0.22/0.41 % (10942)Instructions burned: 3 (million)
% 0.22/0.41 % (10942)------------------------------
% 0.22/0.41 % (10942)------------------------------
% 0.22/0.41 % (10928)Termination reason: Unknown
% 0.22/0.41 % (10928)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (10928)Memory used [KB]: 5884
% 0.22/0.41 % (10928)Time elapsed: 0.021 s
% 0.22/0.41 % (10928)Instructions burned: 37 (million)
% 0.22/0.41 % (10928)------------------------------
% 0.22/0.41 % (10928)------------------------------
% 0.22/0.41 % (10945)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)
% 0.22/0.42 % (10945)Instruction limit reached!
% 0.22/0.42 % (10945)------------------------------
% 0.22/0.42 % (10945)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (10945)Termination reason: Unknown
% 0.22/0.42 % (10945)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (10945)Memory used [KB]: 1023
% 0.22/0.42 % (10945)Time elapsed: 0.004 s
% 0.22/0.42 % (10945)Instructions burned: 4 (million)
% 0.22/0.42 % (10945)------------------------------
% 0.22/0.42 % (10945)------------------------------
% 0.22/0.42 % (10939)Instruction limit reached!
% 0.22/0.42 % (10939)------------------------------
% 0.22/0.42 % (10939)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (10939)Termination reason: Unknown
% 0.22/0.42 % (10939)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (10939)Memory used [KB]: 5756
% 0.22/0.42 % (10939)Time elapsed: 0.014 s
% 0.22/0.42 % (10939)Instructions burned: 17 (million)
% 0.22/0.42 % (10939)------------------------------
% 0.22/0.42 % (10939)------------------------------
% 0.22/0.42 % (10948)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)
% 0.22/0.42 % (10949)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)
% 0.22/0.42 % (10948)Refutation not found, incomplete strategy
% 0.22/0.42 % (10948)------------------------------
% 0.22/0.42 % (10948)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (10949)Instruction limit reached!
% 0.22/0.42 % (10949)------------------------------
% 0.22/0.42 % (10949)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (10949)Termination reason: Unknown
% 0.22/0.42 % (10949)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (10949)Memory used [KB]: 5500
% 0.22/0.42 % (10949)Time elapsed: 0.004 s
% 0.22/0.42 % (10949)Instructions burned: 4 (million)
% 0.22/0.42 % (10949)------------------------------
% 0.22/0.42 % (10949)------------------------------
% 0.22/0.42 % (10948)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.42
% 0.22/0.42
% 0.22/0.42 % (10948)Memory used [KB]: 5500
% 0.22/0.42 % (10948)Time elapsed: 0.004 s
% 0.22/0.42 % (10948)Instructions burned: 4 (million)
% 0.22/0.42 % (10948)------------------------------
% 0.22/0.42 % (10948)------------------------------
% 0.22/0.43 % (10953)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)
% 0.22/0.43 % (10952)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)
% 0.22/0.43 % (10952)Instruction limit reached!
% 0.22/0.43 % (10952)------------------------------
% 0.22/0.43 % (10952)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (10952)Termination reason: Unknown
% 0.22/0.43 % (10952)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (10952)Memory used [KB]: 5500
% 0.22/0.43 % (10952)Time elapsed: 0.004 s
% 0.22/0.43 % (10952)Instructions burned: 4 (million)
% 0.22/0.43 % (10952)------------------------------
% 0.22/0.43 % (10952)------------------------------
% 0.22/0.43 % (10955)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)
% 0.22/0.43 % (10956)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.22/0.44 % (10958)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)
% 0.22/0.44 % (10953)Instruction limit reached!
% 0.22/0.44 % (10953)------------------------------
% 0.22/0.44 % (10953)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (10953)Termination reason: Unknown
% 0.22/0.44 % (10953)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (10953)Memory used [KB]: 5628
% 0.22/0.44 % (10953)Time elapsed: 0.013 s
% 0.22/0.44 % (10953)Instructions burned: 18 (million)
% 0.22/0.44 % (10959)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)
% 0.22/0.44 % (10953)------------------------------
% 0.22/0.44 % (10953)------------------------------
% 0.22/0.44 % (10956)Instruction limit reached!
% 0.22/0.44 % (10956)------------------------------
% 0.22/0.44 % (10956)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (10956)Termination reason: Unknown
% 0.22/0.44 % (10956)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (10956)Memory used [KB]: 5500
% 0.22/0.44 % (10956)Time elapsed: 0.006 s
% 0.22/0.44 % (10956)Instructions burned: 6 (million)
% 0.22/0.44 % (10956)------------------------------
% 0.22/0.44 % (10956)------------------------------
% 0.22/0.44 % (10958)Refutation not found, incomplete strategy
% 0.22/0.44 % (10958)------------------------------
% 0.22/0.44 % (10958)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (10958)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.44
% 0.22/0.44
% 0.22/0.44 % (10958)Memory used [KB]: 5500
% 0.22/0.44 % (10958)Time elapsed: 0.004 s
% 0.22/0.44 % (10958)Instructions burned: 3 (million)
% 0.22/0.44 % (10958)------------------------------
% 0.22/0.44 % (10958)------------------------------
% 0.22/0.44 % (10963)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.22/0.45 % (10963)Instruction limit reached!
% 0.22/0.45 % (10963)------------------------------
% 0.22/0.45 % (10963)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (10963)Termination reason: Unknown
% 0.22/0.45 % (10963)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (10963)Memory used [KB]: 5500
% 0.22/0.45 % (10963)Time elapsed: 0.005 s
% 0.22/0.45 % (10963)Instructions burned: 5 (million)
% 0.22/0.45 % (10963)------------------------------
% 0.22/0.45 % (10963)------------------------------
% 0.22/0.45 % (10974)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)
% 0.22/0.45 % (10972)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)
% 0.22/0.45 % (10959)Instruction limit reached!
% 0.22/0.45 % (10959)------------------------------
% 0.22/0.45 % (10959)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (10959)Termination reason: Unknown
% 0.22/0.45 % (10959)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (10959)Memory used [KB]: 5628
% 0.22/0.45 % (10959)Time elapsed: 0.018 s
% 0.22/0.45 % (10959)Instructions burned: 22 (million)
% 0.22/0.45 % (10959)------------------------------
% 0.22/0.45 % (10959)------------------------------
% 0.22/0.45 % (10977)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)
% 0.22/0.46 % (10972)Instruction limit reached!
% 0.22/0.46 % (10972)------------------------------
% 0.22/0.46 % (10972)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (10972)Termination reason: Unknown
% 0.22/0.46 % (10972)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.46 % (10972)Memory used [KB]: 5500
% 0.22/0.46 % (10972)Time elapsed: 0.005 s
% 0.22/0.46 % (10972)Instructions burned: 6 (million)
% 0.22/0.46 % (10972)------------------------------
% 0.22/0.46 % (10972)------------------------------
% 0.22/0.46 % (10982)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)
% 0.22/0.47 % (10986)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)
% 0.22/0.47 % (10988)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2999ds/17Mi)
% 0.22/0.47 % (10982)Instruction limit reached!
% 0.22/0.47 % (10982)------------------------------
% 0.22/0.47 % (10982)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (10982)Termination reason: Unknown
% 0.22/0.47 % (10982)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (10982)Memory used [KB]: 5628
% 0.22/0.47 % (10982)Time elapsed: 0.015 s
% 0.22/0.47 % (10982)Instructions burned: 20 (million)
% 0.22/0.47 % (10982)------------------------------
% 0.22/0.47 % (10982)------------------------------
% 0.22/0.48 % (10988)Instruction limit reached!
% 0.22/0.48 % (10988)------------------------------
% 0.22/0.48 % (10988)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (10988)Termination reason: Unknown
% 0.22/0.48 % (10988)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (10988)Memory used [KB]: 5628
% 0.22/0.48 % (10988)Time elapsed: 0.014 s
% 0.22/0.48 % (10988)Instructions burned: 18 (million)
% 0.22/0.48 % (10988)------------------------------
% 0.22/0.48 % (10988)------------------------------
% 0.22/0.48 % (10917)Instruction limit reached!
% 0.22/0.48 % (10917)------------------------------
% 0.22/0.48 % (10917)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (10917)Termination reason: Unknown
% 0.22/0.48 % (10917)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (10917)Memory used [KB]: 6652
% 0.22/0.48 % (10917)Time elapsed: 0.106 s
% 0.22/0.48 % (10917)Instructions burned: 183 (million)
% 0.22/0.48 % (10917)------------------------------
% 0.22/0.48 % (10917)------------------------------
% 0.22/0.49 % (11006)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)
% 0.22/0.49 % (11006)Instruction limit reached!
% 0.22/0.49 % (11006)------------------------------
% 0.22/0.49 % (11006)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (11006)Termination reason: Unknown
% 0.22/0.49 % (11006)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (11006)Memory used [KB]: 1023
% 0.22/0.49 % (11006)Time elapsed: 0.003 s
% 0.22/0.49 % (11006)Instructions burned: 4 (million)
% 0.22/0.49 % (11006)------------------------------
% 0.22/0.49 % (11006)------------------------------
% 0.22/0.49 % (11010)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)
% 0.22/0.50 % (11012)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)
% 0.22/0.50 % (11019)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)
% 0.22/0.50 % (11019)Refutation not found, incomplete strategy
% 0.22/0.50 % (11019)------------------------------
% 0.22/0.50 % (11019)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (11019)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.50
% 0.22/0.50
% 0.22/0.50 % (11019)Memory used [KB]: 5500
% 0.22/0.50 % (11019)Time elapsed: 0.005 s
% 0.22/0.50 % (11019)Instructions burned: 10 (million)
% 0.22/0.50 % (11019)------------------------------
% 0.22/0.50 % (11019)------------------------------
% 0.22/0.51 % (11010)Instruction limit reached!
% 0.22/0.51 % (11010)------------------------------
% 0.22/0.51 % (11010)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (11010)Termination reason: Unknown
% 0.22/0.51 % (11010)Termination phase: Saturation
% 0.22/0.51
% 0.22/0.51 % (11010)Memory used [KB]: 5628
% 0.22/0.51 % (11010)Time elapsed: 0.013 s
% 0.22/0.51 % (11010)Instructions burned: 31 (million)
% 0.22/0.51 % (11010)------------------------------
% 0.22/0.51 % (11010)------------------------------
% 0.22/0.51 % (11032)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)
% 0.22/0.51 % (11032)Instruction limit reached!
% 0.22/0.51 % (11032)------------------------------
% 0.22/0.51 % (11032)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (11032)Termination reason: Unknown
% 0.22/0.51 % (11032)Termination phase: Saturation
% 0.22/0.51
% 0.22/0.51 % (11032)Memory used [KB]: 1023
% 0.22/0.51 % (11032)Time elapsed: 0.002 s
% 0.22/0.51 % (11032)Instructions burned: 3 (million)
% 0.22/0.51 % (11032)------------------------------
% 0.22/0.51 % (11032)------------------------------
% 0.22/0.52 % (11033)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)
% 0.22/0.52 % (11035)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)
% 0.22/0.52 % (11033)Instruction limit reached!
% 0.22/0.52 % (11033)------------------------------
% 0.22/0.52 % (11033)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (11033)Termination reason: Unknown
% 0.22/0.52 % (11033)Termination phase: Saturation
% 0.22/0.52
% 0.22/0.52 % (11033)Memory used [KB]: 5500
% 0.22/0.52 % (11033)Time elapsed: 0.032 s
% 0.22/0.52 % (11033)Instructions burned: 22 (million)
% 0.22/0.52 % (11033)------------------------------
% 0.22/0.52 % (11033)------------------------------
% 0.22/0.53 % (11040)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)
% 0.22/0.54 % (11012)Instruction limit reached!
% 0.22/0.54 % (11012)------------------------------
% 0.22/0.54 % (11012)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.54 % (11012)Termination reason: Unknown
% 0.22/0.54 % (11012)Termination phase: Saturation
% 0.22/0.54
% 0.22/0.54 % (11012)Memory used [KB]: 6140
% 0.22/0.54 % (11012)Time elapsed: 0.068 s
% 0.22/0.54 % (11012)Instructions burned: 127 (million)
% 0.22/0.54 % (11012)------------------------------
% 0.22/0.54 % (11012)------------------------------
% 0.22/0.55 % (11035)Instruction limit reached!
% 0.22/0.55 % (11035)------------------------------
% 0.22/0.55 % (11035)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.55 % (11035)Termination reason: Unknown
% 0.22/0.55 % (11035)Termination phase: Saturation
% 0.22/0.55
% 0.22/0.55 % (11035)Memory used [KB]: 6140
% 0.22/0.55 % (11035)Time elapsed: 0.053 s
% 0.22/0.55 % (11035)Instructions burned: 88 (million)
% 0.22/0.55 % (11035)------------------------------
% 0.22/0.55 % (11035)------------------------------
% 0.22/0.55 % (11054)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)
% 0.22/0.56 % (11056)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)
% 0.22/0.56 % (11040)Instruction limit reached!
% 0.22/0.56 % (11040)------------------------------
% 0.22/0.56 % (11040)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.56 % (11040)Termination reason: Unknown
% 0.22/0.56 % (11040)Termination phase: Saturation
% 0.22/0.56
% 0.22/0.56 % (11040)Memory used [KB]: 5628
% 0.22/0.56 % (11040)Time elapsed: 0.054 s
% 0.22/0.56 % (11040)Instructions burned: 108 (million)
% 0.22/0.56 % (11040)------------------------------
% 0.22/0.56 % (11040)------------------------------
% 0.22/0.56 % (11054)Instruction limit reached!
% 0.22/0.56 % (11054)------------------------------
% 0.22/0.56 % (11054)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.56 % (11054)Termination reason: Unknown
% 0.22/0.56 % (11054)Termination phase: Saturation
% 0.22/0.56
% 0.22/0.56 % (11054)Memory used [KB]: 5884
% 0.22/0.56 % (11054)Time elapsed: 0.014 s
% 0.22/0.56 % (11054)Instructions burned: 40 (million)
% 0.22/0.56 % (11054)------------------------------
% 0.22/0.56 % (11054)------------------------------
% 0.22/0.57 % (11063)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)
% 0.22/0.57 % (11065)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)
% 0.22/0.58 % (11065)Refutation not found, incomplete strategy
% 0.22/0.58 % (11065)------------------------------
% 0.22/0.58 % (11065)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.58 % (11065)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.58
% 0.22/0.58
% 0.22/0.58 % (11065)Memory used [KB]: 1151
% 0.22/0.58 % (11065)Time elapsed: 0.007 s
% 0.22/0.58 % (11065)Instructions burned: 16 (million)
% 0.22/0.58 % (11065)------------------------------
% 0.22/0.58 % (11065)------------------------------
% 0.22/0.59 % (11071)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 (2997ds/507Mi)
% 0.22/0.59 % (11063)Instruction limit reached!
% 0.22/0.59 % (11063)------------------------------
% 0.22/0.59 % (11063)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.59 % (11063)Termination reason: Unknown
% 0.22/0.59 % (11063)Termination phase: Saturation
% 0.22/0.59
% 0.22/0.59 % (11063)Memory used [KB]: 5756
% 0.22/0.59 % (11063)Time elapsed: 0.018 s
% 0.22/0.59 % (11063)Instructions burned: 46 (million)
% 0.22/0.59 % (11063)------------------------------
% 0.22/0.59 % (11063)------------------------------
% 0.22/0.59 % (10974)Instruction limit reached!
% 0.22/0.59 % (10974)------------------------------
% 0.22/0.59 % (10974)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.59 % (10974)Termination reason: Unknown
% 0.22/0.59 % (10974)Termination phase: Saturation
% 0.22/0.59
% 0.22/0.59 % (10974)Memory used [KB]: 6780
% 0.22/0.59 % (10974)Time elapsed: 0.140 s
% 0.22/0.59 % (10974)Instructions burned: 377 (million)
% 0.22/0.59 % (10974)------------------------------
% 0.22/0.59 % (10974)------------------------------
% 0.22/0.60 % (11076)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 (2997ds/149Mi)
% 0.22/0.60 % (11077)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (2997ds/39Mi)
% 2.02/0.62 % (11077)Instruction limit reached!
% 2.02/0.62 % (11077)------------------------------
% 2.02/0.62 % (11077)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.02/0.62 % (11077)Termination reason: Unknown
% 2.02/0.62 % (11077)Termination phase: Saturation
% 2.02/0.62
% 2.02/0.62 % (11077)Memory used [KB]: 5628
% 2.02/0.62 % (11077)Time elapsed: 0.018 s
% 2.02/0.62 % (11077)Instructions burned: 40 (million)
% 2.02/0.62 % (11077)------------------------------
% 2.02/0.62 % (11077)------------------------------
% 2.20/0.63 % (11078)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 (2997ds/6Mi)
% 2.21/0.63 % (11078)Instruction limit reached!
% 2.21/0.63 % (11078)------------------------------
% 2.21/0.63 % (11078)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.21/0.63 % (11078)Termination reason: Unknown
% 2.21/0.63 % (11078)Termination phase: Saturation
% 2.21/0.63
% 2.21/0.63 % (11078)Memory used [KB]: 9978
% 2.21/0.63 % (11078)Time elapsed: 0.004 s
% 2.21/0.63 % (11078)Instructions burned: 7 (million)
% 2.21/0.63 % (11078)------------------------------
% 2.21/0.63 % (11078)------------------------------
% 2.21/0.64 % (11082)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 (2997ds/1087Mi)
% 2.21/0.65 % (11076)Instruction limit reached!
% 2.21/0.65 % (11076)------------------------------
% 2.21/0.65 % (11076)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.21/0.65 % (11076)Termination reason: Unknown
% 2.21/0.65 % (11076)Termination phase: Saturation
% 2.21/0.65
% 2.21/0.65 % (11076)Memory used [KB]: 6140
% 2.21/0.65 % (11076)Time elapsed: 0.055 s
% 2.21/0.65 % (11076)Instructions burned: 151 (million)
% 2.21/0.65 % (11076)------------------------------
% 2.21/0.65 % (11076)------------------------------
% 2.21/0.66 % (11082)Refutation not found, incomplete strategy
% 2.21/0.66 % (11082)------------------------------
% 2.21/0.66 % (11082)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.21/0.66 % (11082)Termination reason: Refutation not found, incomplete strategy
% 2.21/0.66
% 2.21/0.66
% 2.21/0.66 % (11082)Memory used [KB]: 5756
% 2.21/0.66 % (11082)Time elapsed: 0.019 s
% 2.21/0.66 % (11082)Instructions burned: 48 (million)
% 2.21/0.66 % (11082)------------------------------
% 2.21/0.66 % (11082)------------------------------
% 2.21/0.66 % (11092)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on Vampire---4 for (2997ds/47Mi)
% 2.21/0.66 % (11095)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)
% 2.21/0.68 % (11092)Instruction limit reached!
% 2.21/0.68 % (11092)------------------------------
% 2.21/0.68 % (11092)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.21/0.68 % (11092)Termination reason: Unknown
% 2.21/0.68 % (11092)Termination phase: Saturation
% 2.21/0.68
% 2.21/0.68 % (11092)Memory used [KB]: 5756
% 2.21/0.68 % (11092)Time elapsed: 0.017 s
% 2.21/0.68 % (11092)Instructions burned: 49 (million)
% 2.21/0.68 % (11092)------------------------------
% 2.21/0.68 % (11092)------------------------------
% 2.21/0.68 % (11095)Instruction limit reached!
% 2.21/0.68 % (11095)------------------------------
% 2.21/0.68 % (11095)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.21/0.68 % (11095)Termination reason: Unknown
% 2.21/0.68 % (11095)Termination phase: Saturation
% 2.21/0.68
% 2.21/0.68 % (11095)Memory used [KB]: 1279
% 2.21/0.68 % (11095)Time elapsed: 0.016 s
% 2.21/0.68 % (11095)Instructions burned: 44 (million)
% 2.21/0.68 % (11095)------------------------------
% 2.21/0.68 % (11095)------------------------------
% 2.21/0.68 % (11100)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 (2996ds/432Mi)
% 2.21/0.69 % (11104)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 (2996ds/62Mi)
% 2.21/0.70 % (10955)Instruction limit reached!
% 2.21/0.70 % (10955)------------------------------
% 2.21/0.70 % (10955)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.21/0.70 % (10955)Termination reason: Unknown
% 2.21/0.70 % (10955)Termination phase: Saturation
% 2.21/0.70
% 2.21/0.70 % (10955)Memory used [KB]: 7164
% 2.21/0.70 % (10955)Time elapsed: 0.267 s
% 2.21/0.70 % (10955)Instructions burned: 712 (million)
% 2.21/0.70 % (10955)------------------------------
% 2.21/0.70 % (10955)------------------------------
% 2.77/0.70 % (10932)Instruction limit reached!
% 2.77/0.70 % (10932)------------------------------
% 2.77/0.70 % (10932)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.77/0.70 % (10932)Termination reason: Unknown
% 2.77/0.70 % (10932)Termination phase: Saturation
% 2.77/0.70
% 2.77/0.70 % (10932)Memory used [KB]: 6268
% 2.77/0.70 % (10932)Time elapsed: 0.303 s
% 2.77/0.70 % (10932)Instructions burned: 1045 (million)
% 2.77/0.70 % (10932)------------------------------
% 2.77/0.70 % (10932)------------------------------
% 2.77/0.71 % (11113)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 (2996ds/31Mi)
% 2.77/0.71 % (11116)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (2996ds/96Mi)
% 2.77/0.71 % (11104)Instruction limit reached!
% 2.77/0.71 % (11104)------------------------------
% 2.77/0.71 % (11104)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.77/0.71 % (11104)Termination reason: Unknown
% 2.77/0.71 % (11104)Termination phase: Saturation
% 2.77/0.71
% 2.77/0.71 % (11104)Memory used [KB]: 5884
% 2.77/0.71 % (11104)Time elapsed: 0.021 s
% 2.77/0.71 % (11104)Instructions burned: 62 (million)
% 2.77/0.71 % (11104)------------------------------
% 2.77/0.71 % (11104)------------------------------
% 2.77/0.71 % (10977)Instruction limit reached!
% 2.77/0.71 % (10977)------------------------------
% 2.77/0.71 % (10977)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.77/0.71 % (10977)Termination reason: Unknown
% 2.77/0.71 % (10977)Termination phase: Saturation
% 2.77/0.71
% 2.77/0.71 % (10977)Memory used [KB]: 7931
% 2.77/0.71 % (10977)Time elapsed: 0.257 s
% 2.77/0.71 % (10977)Instructions burned: 781 (million)
% 2.77/0.71 % (10977)------------------------------
% 2.77/0.71 % (10977)------------------------------
% 2.77/0.71 % (11056)Instruction limit reached!
% 2.77/0.71 % (11056)------------------------------
% 2.77/0.71 % (11056)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.77/0.71 % (11056)Termination reason: Unknown
% 2.77/0.71 % (11056)Termination phase: Saturation
% 2.77/0.71
% 2.77/0.71 % (11056)Memory used [KB]: 6652
% 2.77/0.71 % (11056)Time elapsed: 0.154 s
% 2.77/0.71 % (11056)Instructions burned: 449 (million)
% 2.77/0.71 % (11056)------------------------------
% 2.77/0.71 % (11056)------------------------------
% 2.77/0.72 % (11118)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 (2996ds/453Mi)
% 2.77/0.72 % (11113)Instruction limit reached!
% 2.77/0.72 % (11113)------------------------------
% 2.77/0.72 % (11113)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.77/0.72 % (11113)Termination reason: Unknown
% 2.77/0.72 % (11113)Termination phase: Saturation
% 2.77/0.72
% 2.77/0.72 % (11113)Memory used [KB]: 5756
% 2.77/0.72 % (11113)Time elapsed: 0.013 s
% 2.77/0.72 % (11113)Instructions burned: 31 (million)
% 2.77/0.72 % (11113)------------------------------
% 2.77/0.72 % (11113)------------------------------
% 2.77/0.72 % (11120)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 (2996ds/71Mi)
% 2.77/0.72 % (11118)Refutation not found, incomplete strategy
% 2.77/0.72 % (11118)------------------------------
% 2.77/0.72 % (11118)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.77/0.72 % (11118)Termination reason: Refutation not found, incomplete strategy
% 2.77/0.72
% 2.77/0.72
% 2.77/0.72 % (11118)Memory used [KB]: 5628
% 2.77/0.72 % (11118)Time elapsed: 0.007 s
% 2.77/0.72 % (11118)Instructions burned: 17 (million)
% 2.77/0.72 % (11118)------------------------------
% 2.77/0.72 % (11118)------------------------------
% 2.77/0.72 % (11124)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 (2996ds/83Mi)
% 2.77/0.73 % (11125)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 (2996ds/11Mi)
% 2.77/0.73 % (11125)Instruction limit reached!
% 2.77/0.73 % (11125)------------------------------
% 2.77/0.73 % (11125)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.77/0.73 % (11125)Termination reason: Unknown
% 2.77/0.73 % (11125)Termination phase: Saturation
% 2.77/0.73
% 2.77/0.73 % (11125)Memory used [KB]: 5500
% 2.77/0.73 % (11125)Time elapsed: 0.005 s
% 2.77/0.73 % (11125)Instructions burned: 11 (million)
% 2.77/0.73 % (11125)------------------------------
% 2.77/0.73 % (11125)------------------------------
% 2.77/0.73 % (10986)Instruction limit reached!
% 2.77/0.73 % (10986)------------------------------
% 2.77/0.73 % (10986)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.77/0.73 % (10986)Termination reason: Unknown
% 2.77/0.73 % (10986)Termination phase: Saturation
% 2.77/0.73
% 2.77/0.73 % (10986)Memory used [KB]: 6780
% 2.77/0.73 % (10986)Time elapsed: 0.264 s
% 2.77/0.73 % (10986)Instructions burned: 879 (million)
% 2.77/0.73 % (10986)------------------------------
% 2.77/0.73 % (10986)------------------------------
% 2.77/0.73 % (11128)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 (2996ds/41Mi)
% 2.77/0.73 % (11100)First to succeed.
% 2.77/0.73 % (11100)Refutation found. Thanks to Tanya!
% 2.77/0.73 % SZS status Theorem for Vampire---4
% 2.77/0.73 % SZS output start Proof for Vampire---4
% 2.77/0.73 thf(func_def_0, type, r: (($i > $o) > $o) > (($i > $o) > $o) > $o).
% 2.77/0.73 thf(func_def_1, type, cNAT: (($i > $o) > $o) > $o).
% 2.77/0.73 thf(func_def_2, type, cSUCC: (($i > $o) > $o) > ($i > $o) > $o).
% 2.77/0.73 thf(func_def_3, type, cZERO: ($i > $o) > $o).
% 2.77/0.73 thf(func_def_18, type, ph0: !>[X0: $tType]:(X0)).
% 2.77/0.73 thf(func_def_19, type, sK1: ($i > $o) > $o).
% 2.77/0.73 thf(func_def_26, type, sK2: ($i > $o) > $o).
% 2.77/0.73 thf(f143,plain,(
% 2.77/0.73 $false),
% 2.77/0.73 inference(trivial_inequality_removal,[],[f142])).
% 2.77/0.73 thf(f142,plain,(
% 2.77/0.73 ($true = $false)),
% 2.77/0.73 inference(superposition,[],[f107,f138])).
% 2.77/0.73 thf(f138,plain,(
% 2.77/0.73 (((r @ sK2 @ sK2) => (r @ (^[Y0 : $i > $o]: (?? @ $i @ (^[Y1 : $i]: ((sK2 @ (^[Y2 : $i]: ((~ (Y1 = Y2)) & (Y0 @ Y2)))) & (Y0 @ Y1))))) @ (^[Y0 : $i > $o]: (?? @ $i @ (^[Y1 : $i]: ((sK2 @ (^[Y2 : $i]: ((~ (Y1 = Y2)) & (Y0 @ Y2)))) & (Y0 @ Y1))))))) = $false)),
% 2.77/0.73 inference(beta_eta_normalization,[],[f131])).
% 2.77/0.73 thf(f131,plain,(
% 2.77/0.73 (((^[Y0 : ($i > $o) > $o]: ((r @ Y0 @ Y0) => (r @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((~ (Y2 = Y3)) & (Y1 @ Y3)))) & (Y1 @ Y2))))) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((~ (Y2 = Y3)) & (Y1 @ Y3)))) & (Y1 @ Y2)))))))) @ sK2) = $false)),
% 2.77/0.73 inference(sigma_clausification,[],[f130])).
% 2.77/0.73 thf(f130,plain,(
% 2.77/0.73 ((!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((r @ Y0 @ Y0) => (r @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((~ (Y2 = Y3)) & (Y1 @ Y3)))) & (Y1 @ Y2))))) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((~ (Y2 = Y3)) & (Y1 @ Y3)))) & (Y1 @ Y2))))))))) = $false)),
% 2.77/0.73 inference(not_proxy_clausification,[],[f90])).
% 2.77/0.73 thf(f90,plain,(
% 2.77/0.73 ($true = (~ (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((r @ Y0 @ Y0) => (r @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((~ (Y2 = Y3)) & (Y1 @ Y3)))) & (Y1 @ Y2))))) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((~ (Y2 = Y3)) & (Y1 @ Y3)))) & (Y1 @ Y2)))))))))))),
% 2.77/0.73 inference(boolean_simplification,[],[f89])).
% 2.77/0.73 thf(f89,plain,(
% 2.77/0.73 (((!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((r @ Y0 @ Y0) => (r @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((~ (Y2 = Y3)) & (Y1 @ Y3)))) & (Y1 @ Y2))))) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((~ (Y2 = Y3)) & (Y1 @ Y3)))) & (Y1 @ Y2))))))))) => $false) = $true)),
% 2.77/0.73 inference(forward_demodulation,[],[f72,f44])).
% 2.77/0.73 thf(f44,plain,(
% 2.77/0.73 ( ! [X1 : ($i > $o) > $o] : (((r @ sK1 @ X1) = $false)) )),
% 2.77/0.73 inference(pi_clausification,[],[f34])).
% 2.77/0.73 thf(f34,plain,(
% 2.77/0.73 ($false = (?? @ (($i > $o) > $o) @ (r @ sK1)))),
% 2.77/0.73 inference(binary_proxy_clausification,[],[f30])).
% 2.77/0.73 thf(f30,plain,(
% 2.77/0.73 (((!! @ ((($i > $o) > $o) > $o) @ (^[Y0 : (($i > $o) > $o) > $o]: (((Y0 @ (^[Y1 : $i > $o]: (~ (?? @ $i @ Y1)))) & (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ (^[Y4 : $i]: ((~ (Y3 = Y4)) & (Y2 @ Y4)))) & (Y2 @ Y3)))))))))) => (Y0 @ sK1)))) => (?? @ (($i > $o) > $o) @ (r @ sK1))) = $false)),
% 2.77/0.73 inference(beta_eta_normalization,[],[f27])).
% 2.77/0.73 thf(f27,plain,(
% 2.77/0.73 (((^[Y0 : ($i > $o) > $o]: ((!! @ ((($i > $o) > $o) > $o) @ (^[Y1 : (($i > $o) > $o) > $o]: (((Y1 @ (^[Y2 : $i > $o]: (~ (?? @ $i @ Y2)))) & (!! @ (($i > $o) > $o) @ (^[Y2 : ($i > $o) > $o]: ((Y1 @ Y2) => (Y1 @ (^[Y3 : $i > $o]: (?? @ $i @ (^[Y4 : $i]: ((Y2 @ (^[Y5 : $i]: ((~ (Y4 = Y5)) & (Y3 @ Y5)))) & (Y3 @ Y4)))))))))) => (Y1 @ Y0)))) => (?? @ (($i > $o) > $o) @ (r @ Y0)))) @ sK1) = $false)),
% 2.77/0.73 inference(sigma_clausification,[],[f23])).
% 2.77/0.73 thf(f23,plain,(
% 2.77/0.73 ($false = (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((!! @ ((($i > $o) > $o) > $o) @ (^[Y1 : (($i > $o) > $o) > $o]: (((Y1 @ (^[Y2 : $i > $o]: (~ (?? @ $i @ Y2)))) & (!! @ (($i > $o) > $o) @ (^[Y2 : ($i > $o) > $o]: ((Y1 @ Y2) => (Y1 @ (^[Y3 : $i > $o]: (?? @ $i @ (^[Y4 : $i]: ((Y2 @ (^[Y5 : $i]: ((~ (Y4 = Y5)) & (Y3 @ Y5)))) & (Y3 @ Y4)))))))))) => (Y1 @ Y0)))) => (?? @ (($i > $o) > $o) @ (r @ Y0))))))),
% 2.77/0.73 inference(binary_proxy_clausification,[],[f22])).
% 2.77/0.73 thf(f22,plain,(
% 2.77/0.73 ((((r @ (^[Y0 : $i > $o]: (~ (?? @ $i @ Y0))) @ (^[Y0 : $i > $o]: (~ (?? @ $i @ Y0)))) & (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((r @ Y0 @ Y1) => (r @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y0 @ (^[Y4 : $i]: ((~ (Y3 = Y4)) & (Y2 @ Y4)))) & (Y2 @ Y3))))) @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ (^[Y4 : $i]: ((~ (Y3 = Y4)) & (Y2 @ Y4)))) & (Y2 @ Y3)))))))))))) => (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((!! @ ((($i > $o) > $o) > $o) @ (^[Y1 : (($i > $o) > $o) > $o]: (((Y1 @ (^[Y2 : $i > $o]: (~ (?? @ $i @ Y2)))) & (!! @ (($i > $o) > $o) @ (^[Y2 : ($i > $o) > $o]: ((Y1 @ Y2) => (Y1 @ (^[Y3 : $i > $o]: (?? @ $i @ (^[Y4 : $i]: ((Y2 @ (^[Y5 : $i]: ((~ (Y4 = Y5)) & (Y3 @ Y5)))) & (Y3 @ Y4)))))))))) => (Y1 @ Y0)))) => (?? @ (($i > $o) > $o) @ (r @ Y0)))))) = $false)),
% 2.77/0.73 inference(not_proxy_clausification,[],[f21])).
% 2.77/0.73 thf(f21,plain,(
% 2.77/0.73 ($true = (~ (((r @ (^[Y0 : $i > $o]: (~ (?? @ $i @ Y0))) @ (^[Y0 : $i > $o]: (~ (?? @ $i @ Y0)))) & (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((r @ Y0 @ Y1) => (r @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y0 @ (^[Y4 : $i]: ((~ (Y3 = Y4)) & (Y2 @ Y4)))) & (Y2 @ Y3))))) @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ (^[Y4 : $i]: ((~ (Y3 = Y4)) & (Y2 @ Y4)))) & (Y2 @ Y3)))))))))))) => (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((!! @ ((($i > $o) > $o) > $o) @ (^[Y1 : (($i > $o) > $o) > $o]: (((Y1 @ (^[Y2 : $i > $o]: (~ (?? @ $i @ Y2)))) & (!! @ (($i > $o) > $o) @ (^[Y2 : ($i > $o) > $o]: ((Y1 @ Y2) => (Y1 @ (^[Y3 : $i > $o]: (?? @ $i @ (^[Y4 : $i]: ((Y2 @ (^[Y5 : $i]: ((~ (Y4 = Y5)) & (Y3 @ Y5)))) & (Y3 @ Y4)))))))))) => (Y1 @ Y0)))) => (?? @ (($i > $o) > $o) @ (r @ Y0))))))))),
% 2.77/0.73 inference(beta_eta_normalization,[],[f20])).
% 2.77/0.73 thf(f20,plain,(
% 2.77/0.73 ((~ (((r @ (^[Y0 : $i > $o]: (~ (?? @ $i @ (^[Y1 : $i]: (Y0 @ Y1))))) @ (^[Y0 : $i > $o]: (~ (?? @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))) & (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((r @ Y0 @ Y1) => (r @ ((^[Y2 : ($i > $o) > $o]: ((^[Y3 : $i > $o]: (?? @ $i @ (^[Y4 : $i]: ((Y2 @ (^[Y5 : $i]: ((~ (Y4 = Y5)) & (Y3 @ Y5)))) & (Y3 @ Y4))))))) @ Y0) @ ((^[Y2 : ($i > $o) > $o]: ((^[Y3 : $i > $o]: (?? @ $i @ (^[Y4 : $i]: ((Y2 @ (^[Y5 : $i]: ((~ (Y4 = Y5)) & (Y3 @ Y5)))) & (Y3 @ Y4))))))) @ Y1)))))))) => (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (((^[Y1 : ($i > $o) > $o]: (!! @ ((($i > $o) > $o) > $o) @ (^[Y2 : (($i > $o) > $o) > $o]: (((Y2 @ (^[Y3 : $i > $o]: (~ (?? @ $i @ (^[Y4 : $i]: (Y3 @ Y4)))))) & (!! @ (($i > $o) > $o) @ (^[Y3 : ($i > $o) > $o]: ((Y2 @ Y3) => (Y2 @ ((^[Y4 : ($i > $o) > $o]: ((^[Y5 : $i > $o]: (?? @ $i @ (^[Y6 : $i]: ((Y4 @ (^[Y7 : $i]: ((~ (Y6 = Y7)) & (Y5 @ Y7)))) & (Y5 @ Y6))))))) @ Y3)))))) => (Y2 @ Y1))))) @ Y0) => (?? @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: (r @ Y0 @ Y1)))))))) = $true)),
% 2.77/0.73 inference(definition_unfolding,[],[f15,f18,f18,f17,f17,f19])).
% 2.77/0.73 thf(f19,plain,(
% 2.77/0.73 (cNAT = (^[Y0 : ($i > $o) > $o]: (!! @ ((($i > $o) > $o) > $o) @ (^[Y1 : (($i > $o) > $o) > $o]: (((Y1 @ (^[Y2 : $i > $o]: (~ (?? @ $i @ (^[Y3 : $i]: (Y2 @ Y3)))))) & (!! @ (($i > $o) > $o) @ (^[Y2 : ($i > $o) > $o]: ((Y1 @ Y2) => (Y1 @ ((^[Y3 : ($i > $o) > $o]: ((^[Y4 : $i > $o]: (?? @ $i @ (^[Y5 : $i]: ((Y3 @ (^[Y6 : $i]: ((~ (Y5 = Y6)) & (Y4 @ Y6)))) & (Y4 @ Y5))))))) @ Y2)))))) => (Y1 @ Y0))))))),
% 2.77/0.73 inference(definition_unfolding,[],[f16,f18,f17])).
% 2.77/0.73 thf(f16,plain,(
% 2.77/0.73 (cNAT = (^[Y0 : ($i > $o) > $o]: (!! @ ((($i > $o) > $o) > $o) @ (^[Y1 : (($i > $o) > $o) > $o]: (((Y1 @ cZERO) & (!! @ (($i > $o) > $o) @ (^[Y2 : ($i > $o) > $o]: ((Y1 @ Y2) => (Y1 @ (cSUCC @ Y2)))))) => (Y1 @ Y0))))))),
% 2.77/0.73 inference(cnf_transformation,[],[f8])).
% 2.77/0.73 thf(f8,plain,(
% 2.77/0.73 (cNAT = (^[Y0 : ($i > $o) > $o]: (!! @ ((($i > $o) > $o) > $o) @ (^[Y1 : (($i > $o) > $o) > $o]: (((Y1 @ cZERO) & (!! @ (($i > $o) > $o) @ (^[Y2 : ($i > $o) > $o]: ((Y1 @ Y2) => (Y1 @ (cSUCC @ Y2)))))) => (Y1 @ Y0))))))),
% 2.77/0.73 inference(fool_elimination,[],[f7])).
% 2.77/0.73 thf(f7,plain,(
% 2.77/0.73 (cNAT = (^[X0 : ($i > $o) > $o] : (! [X1 : (($i > $o) > $o) > $o] : ((! [X2 : ($i > $o) > $o] : ((X1 @ X2) => (X1 @ (cSUCC @ X2))) & (X1 @ cZERO)) => (X1 @ X0)))))),
% 2.77/0.73 inference(rectify,[],[f3])).
% 2.77/0.73 thf(f3,axiom,(
% 2.77/0.73 (cNAT = (^[X2 : ($i > $o) > $o] : (! [X0 : (($i > $o) > $o) > $o] : ((! [X1 : ($i > $o) > $o] : ((X0 @ X1) => (X0 @ (cSUCC @ X1))) & (X0 @ cZERO)) => (X0 @ X2)))))),
% 2.77/0.73 file('/export/starexec/sandbox/tmp/tmp.KuHL4hL0TL/Vampire---4.8_10641',cNAT_def)).
% 2.77/0.73 thf(f17,plain,(
% 2.77/0.73 (cSUCC = (^[Y0 : ($i > $o) > $o]: ((^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((~ (Y2 = Y3)) & (Y1 @ Y3)))) & (Y1 @ Y2))))))))),
% 2.77/0.73 inference(cnf_transformation,[],[f12])).
% 2.77/0.73 thf(f12,plain,(
% 2.77/0.73 (cSUCC = (^[Y0 : ($i > $o) > $o]: ((^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((~ (Y2 = Y3)) & (Y1 @ Y3)))) & (Y1 @ Y2))))))))),
% 2.77/0.73 inference(fool_elimination,[],[f11])).
% 2.77/0.73 thf(f11,plain,(
% 2.77/0.73 (cSUCC = (^[X0 : ($i > $o) > $o, X1 : $i > $o] : (? [X2] : ((X1 @ X2) & (X0 @ (^[X3 : $i] : ((X1 @ X3) & (X2 != X3))))))))),
% 2.77/0.73 inference(rectify,[],[f2])).
% 2.77/0.73 thf(f2,axiom,(
% 2.77/0.73 (cSUCC = (^[X2 : ($i > $o) > $o, X0 : $i > $o] : (? [X1] : ((X0 @ X1) & (X2 @ (^[X3 : $i] : ((X0 @ X3) & (X1 != X3))))))))),
% 2.77/0.73 file('/export/starexec/sandbox/tmp/tmp.KuHL4hL0TL/Vampire---4.8_10641',cSUCC_def)).
% 2.77/0.73 thf(f18,plain,(
% 2.77/0.73 (cZERO = (^[Y0 : $i > $o]: (~ (?? @ $i @ (^[Y1 : $i]: (Y0 @ Y1))))))),
% 2.77/0.73 inference(cnf_transformation,[],[f10])).
% 2.77/0.73 thf(f10,plain,(
% 2.77/0.73 (cZERO = (^[Y0 : $i > $o]: (~ (?? @ $i @ (^[Y1 : $i]: (Y0 @ Y1))))))),
% 2.77/0.73 inference(fool_elimination,[],[f9])).
% 2.77/0.73 thf(f9,plain,(
% 2.77/0.73 ((^[X0 : $i > $o] : (~? [X1] : (X0 @ X1))) = cZERO)),
% 2.77/0.73 inference(rectify,[],[f1])).
% 2.77/0.73 thf(f1,axiom,(
% 2.77/0.73 ((^[X0 : $i > $o] : (~? [X1] : (X0 @ X1))) = cZERO)),
% 2.77/0.73 file('/export/starexec/sandbox/tmp/tmp.KuHL4hL0TL/Vampire---4.8_10641',cZERO_def)).
% 2.77/0.73 thf(f15,plain,(
% 2.77/0.73 ($true = (~ (((r @ cZERO @ cZERO) & (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((r @ Y0 @ Y1) => (r @ (cSUCC @ Y0) @ (cSUCC @ Y1)))))))) => (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((cNAT @ Y0) => (?? @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: (r @ Y0 @ Y1)))))))))),
% 2.77/0.73 inference(cnf_transformation,[],[f14])).
% 2.77/0.73 thf(f14,plain,(
% 2.77/0.73 ($true = (~ (((r @ cZERO @ cZERO) & (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((r @ Y0 @ Y1) => (r @ (cSUCC @ Y0) @ (cSUCC @ Y1)))))))) => (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((cNAT @ Y0) => (?? @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: (r @ Y0 @ Y1)))))))))),
% 2.77/0.73 inference(fool_elimination,[],[f13])).
% 2.77/0.73 thf(f13,plain,(
% 2.77/0.73 ~((! [X0 : ($i > $o) > $o,X1 : ($i > $o) > $o] : ((r @ X1 @ X0) => (r @ (cSUCC @ X1) @ (cSUCC @ X0))) & (r @ cZERO @ cZERO)) => ! [X2 : ($i > $o) > $o] : ((cNAT @ X2) => ? [X3 : ($i > $o) > $o] : (r @ X2 @ X3)))),
% 2.77/0.73 inference(rectify,[],[f5])).
% 2.77/0.73 thf(f5,negated_conjecture,(
% 2.77/0.73 ~((! [X4 : ($i > $o) > $o,X1 : ($i > $o) > $o] : ((r @ X1 @ X4) => (r @ (cSUCC @ X1) @ (cSUCC @ X4))) & (r @ cZERO @ cZERO)) => ! [X1 : ($i > $o) > $o] : ((cNAT @ X1) => ? [X4 : ($i > $o) > $o] : (r @ X1 @ X4)))),
% 2.77/0.73 inference(negated_conjecture,[],[f4])).
% 2.77/0.73 thf(f4,conjecture,(
% 2.77/0.73 (! [X4 : ($i > $o) > $o,X1 : ($i > $o) > $o] : ((r @ X1 @ X4) => (r @ (cSUCC @ X1) @ (cSUCC @ X4))) & (r @ cZERO @ cZERO)) => ! [X1 : ($i > $o) > $o] : ((cNAT @ X1) => ? [X4 : ($i > $o) > $o] : (r @ X1 @ X4))),
% 2.77/0.73 file('/export/starexec/sandbox/tmp/tmp.KuHL4hL0TL/Vampire---4.8_10641',cTHM130_B)).
% 2.77/0.73 thf(f72,plain,(
% 2.77/0.73 (((!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((r @ Y0 @ Y0) => (r @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((~ (Y2 = Y3)) & (Y1 @ Y3)))) & (Y1 @ Y2))))) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((~ (Y2 = Y3)) & (Y1 @ Y3)))) & (Y1 @ Y2))))))))) => (r @ sK1 @ sK1)) = $true)),
% 2.77/0.73 inference(boolean_simplification,[],[f71])).
% 2.77/0.73 thf(f71,plain,(
% 2.77/0.73 ($true = (($true & (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((r @ Y0 @ Y0) => (r @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((~ (Y2 = Y3)) & (Y1 @ Y3)))) & (Y1 @ Y2))))) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((~ (Y2 = Y3)) & (Y1 @ Y3)))) & (Y1 @ Y2)))))))))) => (r @ sK1 @ sK1)))),
% 2.77/0.73 inference(beta_eta_normalization,[],[f68])).
% 2.77/0.73 thf(f68,plain,(
% 2.77/0.73 ($true = (($true & (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (((^[Y1 : ($i > $o) > $o]: (r @ ((^[Y2 : ($i > $o) > $o]: ((^[Y3 : $i > $o]: (Y2 @ ((^[Y4 : ($i > $o) > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (Y5 @ ((^[Y7 : ($i > $o) > $o]: ((^[Y8 : $i > $o]: ((^[Y9 : $i]: (Y9)))))) @ Y4 @ Y5 @ Y6))))))) @ Y2 @ Y3))))) @ Y1) @ ((^[Y2 : ($i > $o) > $o]: ((^[Y3 : $i > $o]: (Y2 @ ((^[Y4 : ($i > $o) > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (Y5 @ ((^[Y7 : ($i > $o) > $o]: ((^[Y8 : $i > $o]: ((^[Y9 : $i]: (Y9)))))) @ Y4 @ Y5 @ Y6))))))) @ Y2 @ Y3))))) @ Y1))) @ Y0) => ((^[Y1 : ($i > $o) > $o]: (r @ ((^[Y2 : ($i > $o) > $o]: ((^[Y3 : $i > $o]: (Y2 @ ((^[Y4 : ($i > $o) > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (Y5 @ ((^[Y7 : ($i > $o) > $o]: ((^[Y8 : $i > $o]: ((^[Y9 : $i]: (Y9)))))) @ Y4 @ Y5 @ Y6))))))) @ Y2 @ Y3))))) @ Y1) @ ((^[Y2 : ($i > $o) > $o]: ((^[Y3 : $i > $o]: (Y2 @ ((^[Y4 : ($i > $o) > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (Y5 @ ((^[Y7 : ($i > $o) > $o]: ((^[Y8 : $i > $o]: ((^[Y9 : $i]: (Y9)))))) @ Y4 @ Y5 @ Y6))))))) @ Y2 @ Y3))))) @ Y1))) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((~ (Y2 = Y3)) & (Y1 @ Y3)))) & (Y1 @ Y2)))))))))) => ((^[Y0 : ($i > $o) > $o]: (r @ ((^[Y1 : ($i > $o) > $o]: ((^[Y2 : $i > $o]: (Y1 @ ((^[Y3 : ($i > $o) > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (Y4 @ ((^[Y6 : ($i > $o) > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: (Y8)))))) @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ Y0) @ ((^[Y1 : ($i > $o) > $o]: ((^[Y2 : $i > $o]: (Y1 @ ((^[Y3 : ($i > $o) > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (Y4 @ ((^[Y6 : ($i > $o) > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: (Y8)))))) @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ Y0))) @ sK1)))),
% 2.77/0.73 inference(superposition,[],[f61,f37])).
% 2.77/0.73 thf(f37,plain,(
% 2.77/0.73 ((r @ (^[Y0 : $i > $o]: (~ (?? @ $i @ Y0))) @ (^[Y0 : $i > $o]: (~ (?? @ $i @ Y0)))) = $true)),
% 2.77/0.73 inference(binary_proxy_clausification,[],[f24])).
% 2.77/0.73 thf(f24,plain,(
% 2.77/0.73 ($true = ((r @ (^[Y0 : $i > $o]: (~ (?? @ $i @ Y0))) @ (^[Y0 : $i > $o]: (~ (?? @ $i @ Y0)))) & (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((r @ Y0 @ Y1) => (r @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y0 @ (^[Y4 : $i]: ((~ (Y3 = Y4)) & (Y2 @ Y4)))) & (Y2 @ Y3))))) @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ (^[Y4 : $i]: ((~ (Y3 = Y4)) & (Y2 @ Y4)))) & (Y2 @ Y3)))))))))))))),
% 2.77/0.73 inference(binary_proxy_clausification,[],[f22])).
% 2.77/0.73 thf(f61,plain,(
% 2.77/0.73 ( ! [X1 : (($i > $o) > $o) > $o] : (($true = (((X1 @ (^[Y0 : $i > $o]: (~ (?? @ $i @ Y0)))) & (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((X1 @ Y0) => (X1 @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((~ (Y2 = Y3)) & (Y1 @ Y3)))) & (Y1 @ Y2)))))))))) => (X1 @ sK1)))) )),
% 2.77/0.73 inference(beta_eta_normalization,[],[f58])).
% 2.77/0.73 thf(f58,plain,(
% 2.77/0.73 ( ! [X1 : (($i > $o) > $o) > $o] : ((((^[Y0 : (($i > $o) > $o) > $o]: (((Y0 @ (^[Y1 : $i > $o]: (~ (?? @ $i @ Y1)))) & (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ (^[Y4 : $i]: ((~ (Y3 = Y4)) & (Y2 @ Y4)))) & (Y2 @ Y3)))))))))) => (Y0 @ sK1))) @ X1) = $true)) )),
% 2.77/0.73 inference(pi_clausification,[],[f35])).
% 2.77/0.73 thf(f35,plain,(
% 2.77/0.73 ($true = (!! @ ((($i > $o) > $o) > $o) @ (^[Y0 : (($i > $o) > $o) > $o]: (((Y0 @ (^[Y1 : $i > $o]: (~ (?? @ $i @ Y1)))) & (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ (^[Y4 : $i]: ((~ (Y3 = Y4)) & (Y2 @ Y4)))) & (Y2 @ Y3)))))))))) => (Y0 @ sK1)))))),
% 2.77/0.73 inference(binary_proxy_clausification,[],[f30])).
% 2.77/0.73 thf(f107,plain,(
% 2.77/0.73 ( ! [X2 : ($i > $o) > $o,X1 : ($i > $o) > $o] : ((((r @ X1 @ X2) => (r @ (^[Y0 : $i > $o]: (?? @ $i @ (^[Y1 : $i]: ((X1 @ (^[Y2 : $i]: ((~ (Y1 = Y2)) & (Y0 @ Y2)))) & (Y0 @ Y1))))) @ (^[Y0 : $i > $o]: (?? @ $i @ (^[Y1 : $i]: ((X2 @ (^[Y2 : $i]: ((~ (Y1 = Y2)) & (Y0 @ Y2)))) & (Y0 @ Y1))))))) = $true)) )),
% 2.77/0.73 inference(beta_eta_normalization,[],[f106])).
% 2.77/0.73 thf(f106,plain,(
% 2.77/0.73 ( ! [X2 : ($i > $o) > $o,X1 : ($i > $o) > $o] : ((((^[Y0 : ($i > $o) > $o]: ((r @ X1 @ Y0) => (r @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((X1 @ (^[Y3 : $i]: ((~ (Y2 = Y3)) & (Y1 @ Y3)))) & (Y1 @ Y2))))) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((~ (Y2 = Y3)) & (Y1 @ Y3)))) & (Y1 @ Y2)))))))) @ X2) = $true)) )),
% 2.77/0.73 inference(pi_clausification,[],[f96])).
% 2.77/0.73 thf(f96,plain,(
% 2.77/0.73 ( ! [X1 : ($i > $o) > $o] : (($true = (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((r @ X1 @ Y0) => (r @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((X1 @ (^[Y3 : $i]: ((~ (Y2 = Y3)) & (Y1 @ Y3)))) & (Y1 @ Y2))))) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((~ (Y2 = Y3)) & (Y1 @ Y3)))) & (Y1 @ Y2))))))))))) )),
% 2.77/0.73 inference(beta_eta_normalization,[],[f91])).
% 2.77/0.73 thf(f91,plain,(
% 2.77/0.73 ( ! [X1 : ($i > $o) > $o] : ((((^[Y0 : ($i > $o) > $o]: (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((r @ Y0 @ Y1) => (r @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y0 @ (^[Y4 : $i]: ((~ (Y3 = Y4)) & (Y2 @ Y4)))) & (Y2 @ Y3))))) @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ (^[Y4 : $i]: ((~ (Y3 = Y4)) & (Y2 @ Y4)))) & (Y2 @ Y3)))))))))) @ X1) = $true)) )),
% 2.77/0.73 inference(pi_clausification,[],[f36])).
% 2.77/0.73 thf(f36,plain,(
% 2.77/0.73 ($true = (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((r @ Y0 @ Y1) => (r @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y0 @ (^[Y4 : $i]: ((~ (Y3 = Y4)) & (Y2 @ Y4)))) & (Y2 @ Y3))))) @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ (^[Y4 : $i]: ((~ (Y3 = Y4)) & (Y2 @ Y4)))) & (Y2 @ Y3))))))))))))),
% 2.77/0.73 inference(binary_proxy_clausification,[],[f24])).
% 2.77/0.73 % SZS output end Proof for Vampire---4
% 2.77/0.73 % (11100)------------------------------
% 2.77/0.73 % (11100)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.77/0.73 % (11100)Termination reason: Refutation
% 2.77/0.73
% 2.77/0.73 % (11100)Memory used [KB]: 2430
% 2.77/0.73 % (11100)Time elapsed: 0.050 s
% 2.77/0.73 % (11100)Instructions burned: 157 (million)
% 2.77/0.73 % (11100)------------------------------
% 2.77/0.73 % (11100)------------------------------
% 2.77/0.73 % (10914)Success in time 0.36 s
% 2.77/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------