TSTP Solution File: DAT290^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT290^1 : TPTP v8.1.2. Released v7.0.0.
% 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 : n028.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 05:05:07 EDT 2024
% Result : Theorem 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : DAT290^1 : TPTP v8.1.2. Released v7.0.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n028.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 13:15:48 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH1_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.QQsGQu7Ufq/Vampire---4.8_12492
% 0.14/0.37 % (12750)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.22/0.37 % (12750)Instruction limit reached!
% 0.22/0.37 % (12750)------------------------------
% 0.22/0.37 % (12750)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.37 % (12750)Termination reason: Unknown
% 0.22/0.37 % (12750)Termination phase: Saturation
% 0.22/0.37
% 0.22/0.37 % (12750)Memory used [KB]: 5500
% 0.22/0.37 % (12750)Time elapsed: 0.003 s
% 0.22/0.37 % (12750)Instructions burned: 3 (million)
% 0.22/0.37 % (12750)------------------------------
% 0.22/0.37 % (12750)------------------------------
% 0.22/0.37 % (12749)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)
% 0.22/0.37 % (12748)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)
% 0.22/0.37 % (12747)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)
% 0.22/0.37 % (12751)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)
% 0.22/0.37 % (12752)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)
% 0.22/0.37 % (12753)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.22/0.38 % (12751)Instruction limit reached!
% 0.22/0.38 % (12751)------------------------------
% 0.22/0.38 % (12751)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (12751)Termination reason: Unknown
% 0.22/0.38 % (12751)Termination phase: shuffling
% 0.22/0.38
% 0.22/0.38 % (12751)Memory used [KB]: 895
% 0.22/0.38 % (12751)Time elapsed: 0.003 s
% 0.22/0.38 % (12751)Instructions burned: 2 (million)
% 0.22/0.38 % (12751)------------------------------
% 0.22/0.38 % (12751)------------------------------
% 0.22/0.38 % (12754)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)
% 0.22/0.38 % (12752)Refutation not found, incomplete strategy
% 0.22/0.38 % (12752)------------------------------
% 0.22/0.38 % (12752)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (12752)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.38
% 0.22/0.38
% 0.22/0.38 % (12752)Memory used [KB]: 5500
% 0.22/0.38 % (12752)Time elapsed: 0.004 s
% 0.22/0.38 % (12752)Instructions burned: 2 (million)
% 0.22/0.38 % (12752)------------------------------
% 0.22/0.38 % (12752)------------------------------
% 0.22/0.38 % (12748)Instruction limit reached!
% 0.22/0.38 % (12748)------------------------------
% 0.22/0.38 % (12748)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (12748)Termination reason: Unknown
% 0.22/0.38 % (12748)Termination phase: Saturation
% 0.22/0.38
% 0.22/0.38 % (12748)Memory used [KB]: 5500
% 0.22/0.38 % (12748)Time elapsed: 0.005 s
% 0.22/0.38 % (12748)Instructions burned: 4 (million)
% 0.22/0.38 % (12748)------------------------------
% 0.22/0.38 % (12748)------------------------------
% 0.22/0.38 % (12749)Refutation not found, incomplete strategy
% 0.22/0.38 % (12749)------------------------------
% 0.22/0.38 % (12749)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (12749)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.38
% 0.22/0.38
% 0.22/0.38 % (12749)Memory used [KB]: 5500
% 0.22/0.38 % (12749)Time elapsed: 0.006 s
% 0.22/0.38 % (12749)Instructions burned: 3 (million)
% 0.22/0.38 % (12749)------------------------------
% 0.22/0.38 % (12749)------------------------------
% 0.22/0.38 % (12754)Instruction limit reached!
% 0.22/0.38 % (12754)------------------------------
% 0.22/0.38 % (12754)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (12754)Termination reason: Unknown
% 0.22/0.38 % (12754)Termination phase: Saturation
% 0.22/0.38
% 0.22/0.38 % (12754)Memory used [KB]: 5500
% 0.22/0.38 % (12754)Time elapsed: 0.005 s
% 0.22/0.38 % (12754)Instructions burned: 3 (million)
% 0.22/0.38 % (12754)------------------------------
% 0.22/0.38 % (12754)------------------------------
% 0.22/0.38 % (12755)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)
% 0.22/0.38 % Exception at run slice level
% 0.22/0.38 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.22/0.39 % (12753)Instruction limit reached!
% 0.22/0.39 % (12753)------------------------------
% 0.22/0.39 % (12753)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (12753)Termination reason: Unknown
% 0.22/0.39 % (12753)Termination phase: Saturation
% 0.22/0.39
% 0.22/0.39 % (12753)Memory used [KB]: 5628
% 0.22/0.39 % (12753)Time elapsed: 0.015 s
% 0.22/0.39 % (12753)Instructions burned: 18 (million)
% 0.22/0.39 % (12753)------------------------------
% 0.22/0.39 % (12753)------------------------------
% 0.22/0.39 % (12756)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)
% 0.22/0.39 % (12761)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)
% 0.22/0.39 % (12761)Instruction limit reached!
% 0.22/0.39 % (12761)------------------------------
% 0.22/0.39 % (12761)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (12757)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)
% 0.22/0.39 % (12761)Termination reason: Unknown
% 0.22/0.39 % (12761)Termination phase: Saturation
% 0.22/0.39
% 0.22/0.39 % (12761)Memory used [KB]: 5500
% 0.22/0.39 % (12761)Time elapsed: 0.002 s
% 0.22/0.39 % (12761)Instructions burned: 3 (million)
% 0.22/0.39 % (12761)------------------------------
% 0.22/0.39 % (12761)------------------------------
% 0.22/0.39 % (12758)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)
% 0.22/0.39 % Exception at run slice level
% 0.22/0.39 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.22/0.39 % (12756)Refutation not found, incomplete strategy
% 0.22/0.39 % (12756)------------------------------
% 0.22/0.39 % (12756)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (12756)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.39
% 0.22/0.39
% 0.22/0.39 % (12756)Memory used [KB]: 5500
% 0.22/0.39 % (12756)Time elapsed: 0.005 s
% 0.22/0.39 % (12756)Instructions burned: 4 (million)
% 0.22/0.39 % (12756)------------------------------
% 0.22/0.39 % (12756)------------------------------
% 0.22/0.39 % (12760)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)
% 0.22/0.39 % (12757)Instruction limit reached!
% 0.22/0.39 % (12757)------------------------------
% 0.22/0.39 % (12757)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (12757)Termination reason: Unknown
% 0.22/0.39 % (12757)Termination phase: Saturation
% 0.22/0.39
% 0.22/0.39 % (12757)Memory used [KB]: 5500
% 0.22/0.39 % (12757)Time elapsed: 0.004 s
% 0.22/0.39 % (12757)Instructions burned: 3 (million)
% 0.22/0.39 % (12757)------------------------------
% 0.22/0.39 % (12757)------------------------------
% 0.22/0.39 % (12759)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 % (12759)Instruction limit reached!
% 0.22/0.40 % (12759)------------------------------
% 0.22/0.40 % (12759)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (12759)Termination reason: Unknown
% 0.22/0.40 % (12759)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (12759)Memory used [KB]: 1023
% 0.22/0.40 % (12759)Time elapsed: 0.008 s
% 0.22/0.40 % (12759)Instructions burned: 8 (million)
% 0.22/0.40 % (12759)------------------------------
% 0.22/0.40 % (12759)------------------------------
% 0.22/0.40 % (12763)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)
% 0.22/0.40 % (12762)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)
% 0.22/0.40 % (12762)Instruction limit reached!
% 0.22/0.40 % (12762)------------------------------
% 0.22/0.40 % (12762)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (12763)Instruction limit reached!
% 0.22/0.40 % (12763)------------------------------
% 0.22/0.40 % (12763)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (12762)Termination reason: Unknown
% 0.22/0.40 % (12762)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (12762)Memory used [KB]: 1023
% 0.22/0.40 % (12762)Time elapsed: 0.004 s
% 0.22/0.40 % (12762)Instructions burned: 3 (million)
% 0.22/0.40 % (12762)------------------------------
% 0.22/0.40 % (12762)------------------------------
% 0.22/0.40 % (12763)Termination reason: Unknown
% 0.22/0.40 % (12763)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (12763)Memory used [KB]: 5500
% 0.22/0.40 % (12763)Time elapsed: 0.005 s
% 0.22/0.40 % (12763)Instructions burned: 7 (million)
% 0.22/0.40 % (12763)------------------------------
% 0.22/0.40 % (12763)------------------------------
% 0.22/0.41 % (12760)Instruction limit reached!
% 0.22/0.41 % (12760)------------------------------
% 0.22/0.41 % (12760)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (12760)Termination reason: Unknown
% 0.22/0.41 % (12760)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (12760)Memory used [KB]: 5756
% 0.22/0.41 % (12760)Time elapsed: 0.014 s
% 0.22/0.41 % (12760)Instructions burned: 17 (million)
% 0.22/0.41 % (12760)------------------------------
% 0.22/0.41 % (12760)------------------------------
% 0.22/0.41 % (12764)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)
% 0.22/0.41 % Exception at run slice level
% 0.22/0.41 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.22/0.41 % (12765)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)
% 0.22/0.41 % (12766)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)
% 0.22/0.41 % (12765)Instruction limit reached!
% 0.22/0.41 % (12765)------------------------------
% 0.22/0.41 % (12765)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (12765)Termination reason: Unknown
% 0.22/0.41 % (12765)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (12765)Memory used [KB]: 5500
% 0.22/0.41 % (12765)Time elapsed: 0.005 s
% 0.22/0.41 % (12765)Instructions burned: 4 (million)
% 0.22/0.41 % (12765)------------------------------
% 0.22/0.41 % (12765)------------------------------
% 0.22/0.41 % (12766)Refutation not found, incomplete strategy
% 0.22/0.41 % (12766)------------------------------
% 0.22/0.41 % (12766)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (12766)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.41
% 0.22/0.41
% 0.22/0.41 % (12766)Memory used [KB]: 5500
% 0.22/0.41 % (12766)Time elapsed: 0.005 s
% 0.22/0.41 % (12766)Instructions burned: 4 (million)
% 0.22/0.41 % (12766)------------------------------
% 0.22/0.41 % (12766)------------------------------
% 0.22/0.41 % (12768)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.22/0.41 % (12767)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)
% 0.22/0.42 % (12768)Instruction limit reached!
% 0.22/0.42 % (12768)------------------------------
% 0.22/0.42 % (12768)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (12768)Termination reason: Unknown
% 0.22/0.42 % (12768)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (12768)Memory used [KB]: 5500
% 0.22/0.42 % (12768)Time elapsed: 0.005 s
% 0.22/0.42 % (12768)Instructions burned: 7 (million)
% 0.22/0.42 % (12768)------------------------------
% 0.22/0.42 % (12768)------------------------------
% 0.22/0.42 % (12769)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)
% 0.22/0.42 % (12770)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)
% 0.22/0.42 % (12769)Refutation not found, incomplete strategy
% 0.22/0.42 % (12769)------------------------------
% 0.22/0.42 % (12769)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (12769)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.42
% 0.22/0.42
% 0.22/0.42 % (12769)Memory used [KB]: 5500
% 0.22/0.42 % (12769)Time elapsed: 0.004 s
% 0.22/0.42 % (12769)Instructions burned: 2 (million)
% 0.22/0.42 % (12769)------------------------------
% 0.22/0.42 % (12769)------------------------------
% 0.22/0.42 % (12771)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.22/0.42 % Exception at run slice level
% 0.22/0.42 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.22/0.43 % (12772)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)
% 0.22/0.43 % (12774)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)
% 0.22/0.43 % Exception at run slice level
% 0.22/0.43 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.22/0.43 % Exception at run slice level
% 0.22/0.43 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.22/0.43 % (12773)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)
% 0.22/0.44 % (12775)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)
% 0.22/0.44 % (12777)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2999ds/17Mi)
% 0.22/0.44 % (12770)Instruction limit reached!
% 0.22/0.44 % (12770)------------------------------
% 0.22/0.44 % (12770)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (12770)Termination reason: Unknown
% 0.22/0.44 % (12770)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (12770)Memory used [KB]: 5628
% 0.22/0.44 % (12770)Time elapsed: 0.018 s
% 0.22/0.44 % (12770)Instructions burned: 21 (million)
% 0.22/0.44 % (12770)------------------------------
% 0.22/0.44 % (12770)------------------------------
% 0.22/0.44 % Exception at run slice level
% 0.22/0.44 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.22/0.44 % (12776)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)
% 0.22/0.44 % (12773)First to succeed.
% 0.22/0.44 % (12773)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Theorem for Vampire---4
% 0.22/0.44 % SZS output start Proof for Vampire---4
% 0.22/0.44 thf(type_def_5, type, 'type/nums/num': $tType).
% 0.22/0.44 thf(type_def_7, type, 'type/ind_types/list': ($tType) > $tType).
% 0.22/0.44 thf(type_def_8, type, sK0: $tType).
% 0.22/0.44 thf(func_def_0, type, 'type/nums/num': $tType).
% 0.22/0.44 thf(func_def_1, type, 'type/ind_types/list': ($tType) > $tType).
% 0.22/0.44 thf(func_def_2, type, 'const/nums/SUC': 'type/nums/num' > 'type/nums/num').
% 0.22/0.44 thf(func_def_3, type, 'const/nums/NUMERAL': 'type/nums/num' > 'type/nums/num').
% 0.22/0.44 thf(func_def_4, type, 'const/nums/_0': 'type/nums/num').
% 0.22/0.44 thf(func_def_5, type, 'const/lists/LENGTH': !>[X0: $tType]:('type/ind_types/list' @ X0 > 'type/nums/num')).
% 0.22/0.44 thf(func_def_6, type, 'const/ind_types/NIL': !>[X0: $tType]:('type/ind_types/list' @ X0)).
% 0.22/0.44 thf(func_def_7, type, 'const/ind_types/CONS': !>[X0: $tType]:(X0 > 'type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0)).
% 0.22/0.44 thf(func_def_12, type, sK1: 'type/ind_types/list' @ sK0).
% 0.22/0.44 thf(func_def_13, type, sK2: !>[X0: $tType]:(('type/ind_types/list' @ X0 > $o) > X0)).
% 0.22/0.44 thf(func_def_14, type, sK3: !>[X0: $tType]:(('type/ind_types/list' @ X0 > $o) > 'type/ind_types/list' @ X0)).
% 0.22/0.44 thf(func_def_16, type, ph5: !>[X0: $tType]:(X0)).
% 0.22/0.44 thf(f157,plain,(
% 0.22/0.44 $false),
% 0.22/0.44 inference(avatar_sat_refutation,[],[f43,f44,f152,f156])).
% 0.22/0.44 thf(f156,plain,(
% 0.22/0.44 spl4_2 | ~spl4_1),
% 0.22/0.44 inference(avatar_split_clause,[],[f155,f36,f40])).
% 0.22/0.44 thf(f40,plain,(
% 0.22/0.44 spl4_2 <=> (('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ sK0 @ sK1))),
% 0.22/0.44 introduced(avatar_definition,[new_symbols(naming,[spl4_2])])).
% 0.22/0.44 thf(f36,plain,(
% 0.22/0.44 spl4_1 <=> (sK1 = 'const/ind_types/NIL' @ sK0)),
% 0.22/0.44 introduced(avatar_definition,[new_symbols(naming,[spl4_1])])).
% 0.22/0.44 thf(f155,plain,(
% 0.22/0.44 (('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ sK0 @ sK1)) | ~spl4_1),
% 0.22/0.44 inference(superposition,[],[f24,f38])).
% 0.22/0.44 thf(f38,plain,(
% 0.22/0.44 (sK1 = 'const/ind_types/NIL' @ sK0) | ~spl4_1),
% 0.22/0.44 inference(avatar_component_clause,[],[f36])).
% 0.22/0.44 thf(f24,plain,(
% 0.22/0.44 ( ! [X0 : $tType] : ((('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ X0 @ 'const/ind_types/NIL' @ X0))) )),
% 0.22/0.44 inference(cnf_transformation,[],[f5])).
% 0.22/0.44 thf(f5,axiom,(
% 0.22/0.44 ! [X0 : $tType] : (('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ X0 @ 'const/ind_types/NIL' @ X0))),
% 0.22/0.44 file('/export/starexec/sandbox/tmp/tmp.QQsGQu7Ufq/Vampire---4.8_12492','thm/lists/LENGTH_0')).
% 0.22/0.44 thf(f152,plain,(
% 0.22/0.44 spl4_1 | ~spl4_2),
% 0.22/0.44 inference(avatar_split_clause,[],[f151,f40,f36])).
% 0.22/0.44 thf(f151,plain,(
% 0.22/0.44 (sK1 = 'const/ind_types/NIL' @ sK0) | ~spl4_2),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f148])).
% 0.22/0.44 thf(f148,plain,(
% 0.22/0.44 (sK1 = 'const/ind_types/NIL' @ sK0) | (('const/nums/NUMERAL' @ 'const/nums/_0') != ('const/nums/NUMERAL' @ 'const/nums/_0')) | ~spl4_2),
% 0.22/0.44 inference(superposition,[],[f147,f42])).
% 0.22/0.44 thf(f42,plain,(
% 0.22/0.44 (('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ sK0 @ sK1)) | ~spl4_2),
% 0.22/0.44 inference(avatar_component_clause,[],[f40])).
% 0.22/0.44 thf(f147,plain,(
% 0.22/0.44 ( ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : ((('const/nums/NUMERAL' @ 'const/nums/_0') != ('const/lists/LENGTH' @ X0 @ X1)) | ('const/ind_types/NIL' @ X0 = X1)) )),
% 0.22/0.44 inference(superposition,[],[f22,f134])).
% 0.22/0.44 thf(f134,plain,(
% 0.22/0.44 ( ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : ((('const/lists/LENGTH' @ X0 @ X1) = ('const/nums/SUC' @ ('const/lists/LENGTH' @ X0 @ (sK3 @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (~ (X1 = Y0))))))) | ('const/ind_types/NIL' @ X0 = X1)) )),
% 0.22/0.44 inference(superposition,[],[f28,f93])).
% 0.22/0.44 thf(f93,plain,(
% 0.22/0.44 ( ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : ((('const/ind_types/CONS' @ X0 @ (sK2 @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (~ (X1 = Y0)))) @ (sK3 @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (~ (X1 = Y0))))) = X1) | ('const/ind_types/NIL' @ X0 = X1)) )),
% 0.22/0.44 inference(equality_proxy_clausification,[],[f92])).
% 0.22/0.44 thf(f92,plain,(
% 0.22/0.44 ( ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : (((X1 = 'const/ind_types/NIL' @ X0) = $true) | (('const/ind_types/CONS' @ X0 @ (sK2 @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (~ (X1 = Y0)))) @ (sK3 @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (~ (X1 = Y0))))) = X1)) )),
% 0.22/0.44 inference(not_proxy_clausification,[],[f91])).
% 0.22/0.44 thf(f91,plain,(
% 0.22/0.44 ( ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : (($true != (~ (X1 = 'const/ind_types/NIL' @ X0))) | (('const/ind_types/CONS' @ X0 @ (sK2 @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (~ (X1 = Y0)))) @ (sK3 @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (~ (X1 = Y0))))) = X1)) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f78])).
% 0.22/0.44 thf(f78,plain,(
% 0.22/0.44 ( ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : ((((^[Y0 : 'type/ind_types/list' @ X0]: (~ (X1 = Y0))) @ 'const/ind_types/NIL' @ X0) != $true) | (('const/ind_types/CONS' @ X0 @ (sK2 @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (~ (X1 = Y0)))) @ (sK3 @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (~ (X1 = Y0))))) = X1)) )),
% 0.22/0.44 inference(leibniz_equality_elimination,[],[f26])).
% 0.22/0.44 thf(f26,plain,(
% 0.22/0.44 ( ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o,X4 : 'type/ind_types/list' @ X0] : (((X1 @ ('const/ind_types/CONS' @ X0 @ (sK2 @ X0 @ X1) @ (sK3 @ X0 @ X1))) != $true) | ($true = (X1 @ X4)) | ((X1 @ 'const/ind_types/NIL' @ X0) != $true)) )),
% 0.22/0.44 inference(cnf_transformation,[],[f21])).
% 0.22/0.44 thf(f21,plain,(
% 0.22/0.44 ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o] : ((($true = (X1 @ (sK3 @ X0 @ X1))) & ((X1 @ ('const/ind_types/CONS' @ X0 @ (sK2 @ X0 @ X1) @ (sK3 @ X0 @ X1))) != $true)) | ! [X4 : 'type/ind_types/list' @ X0] : ($true = (X1 @ X4)) | ((X1 @ 'const/ind_types/NIL' @ X0) != $true))),
% 0.22/0.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f17,f20])).
% 0.22/0.44 thf(f20,plain,(
% 0.22/0.44 ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o] : (? [X2 : X0,X3 : 'type/ind_types/list' @ X0] : (((X1 @ X3) = $true) & ((X1 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3)) != $true)) => (($true = (X1 @ (sK3 @ X0 @ X1))) & ((X1 @ ('const/ind_types/CONS' @ X0 @ (sK2 @ X0 @ X1) @ (sK3 @ X0 @ X1))) != $true)))),
% 0.22/0.44 introduced(choice_axiom,[])).
% 0.22/0.44 thf(f17,plain,(
% 0.22/0.44 ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o] : (? [X2 : X0,X3 : 'type/ind_types/list' @ X0] : (((X1 @ X3) = $true) & ((X1 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3)) != $true)) | ! [X4 : 'type/ind_types/list' @ X0] : ($true = (X1 @ X4)) | ((X1 @ 'const/ind_types/NIL' @ X0) != $true))),
% 0.22/0.44 inference(flattening,[],[f16])).
% 0.22/0.44 thf(f16,plain,(
% 0.22/0.44 ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o] : (! [X4 : 'type/ind_types/list' @ X0] : ($true = (X1 @ X4)) | (((X1 @ 'const/ind_types/NIL' @ X0) != $true) | ? [X2 : X0,X3 : 'type/ind_types/list' @ X0] : (((X1 @ X3) = $true) & ((X1 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3)) != $true))))),
% 0.22/0.44 inference(ennf_transformation,[],[f10])).
% 0.22/0.44 thf(f10,plain,(
% 0.22/0.44 ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o] : ((((X1 @ 'const/ind_types/NIL' @ X0) = $true) & ! [X2 : X0,X3 : 'type/ind_types/list' @ X0] : (((X1 @ X3) = $true) => ((X1 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3)) = $true))) => ! [X4 : 'type/ind_types/list' @ X0] : ($true = (X1 @ X4)))),
% 0.22/0.44 inference(fool_elimination,[],[f9])).
% 0.22/0.44 thf(f9,plain,(
% 0.22/0.44 ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o] : (((X1 @ 'const/ind_types/NIL' @ X0) & ! [X2 : X0,X3 : 'type/ind_types/list' @ X0] : ((X1 @ X3) => (X1 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3)))) => ! [X4 : 'type/ind_types/list' @ X0] : (X1 @ X4))),
% 0.22/0.44 inference(rectify,[],[f1])).
% 0.22/0.44 thf(f1,axiom,(
% 0.22/0.44 ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o] : (((X1 @ 'const/ind_types/NIL' @ X0) & ! [X2 : X0,X3 : 'type/ind_types/list' @ X0] : ((X1 @ X3) => (X1 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3)))) => ! [X2 : 'type/ind_types/list' @ X0] : (X1 @ X2))),
% 0.22/0.44 file('/export/starexec/sandbox/tmp/tmp.QQsGQu7Ufq/Vampire---4.8_12492','thm/ind_types/list_INDUCT_')).
% 0.22/0.44 thf(f28,plain,(
% 0.22/0.44 ( ! [X0 : $tType,X2 : 'type/ind_types/list' @ X0,X1 : X0] : ((('const/nums/SUC' @ ('const/lists/LENGTH' @ X0 @ X2)) = ('const/lists/LENGTH' @ X0 @ ('const/ind_types/CONS' @ X0 @ X1 @ X2)))) )),
% 0.22/0.44 inference(cnf_transformation,[],[f14])).
% 0.22/0.44 thf(f14,plain,(
% 0.22/0.44 ! [X0 : $tType,X1 : X0,X2 : 'type/ind_types/list' @ X0] : (('const/nums/SUC' @ ('const/lists/LENGTH' @ X0 @ X2)) = ('const/lists/LENGTH' @ X0 @ ('const/ind_types/CONS' @ X0 @ X1 @ X2)))),
% 0.22/0.44 inference(rectify,[],[f4])).
% 0.22/0.44 thf(f4,axiom,(
% 0.22/0.44 ! [X0 : $tType,X2 : X0,X3 : 'type/ind_types/list' @ X0] : (('const/lists/LENGTH' @ X0 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3)) = ('const/nums/SUC' @ ('const/lists/LENGTH' @ X0 @ X3)))),
% 0.22/0.44 file('/export/starexec/sandbox/tmp/tmp.QQsGQu7Ufq/Vampire---4.8_12492','thm/lists/LENGTH_1')).
% 0.22/0.44 thf(f22,plain,(
% 0.22/0.44 ( ! [X0 : 'type/nums/num'] : ((('const/nums/SUC' @ X0) != ('const/nums/NUMERAL' @ 'const/nums/_0'))) )),
% 0.22/0.44 inference(cnf_transformation,[],[f3])).
% 0.22/0.44 thf(f3,axiom,(
% 0.22/0.44 ! [X0 : 'type/nums/num'] : (('const/nums/SUC' @ X0) != ('const/nums/NUMERAL' @ 'const/nums/_0'))),
% 0.22/0.44 file('/export/starexec/sandbox/tmp/tmp.QQsGQu7Ufq/Vampire---4.8_12492','thm/nums/NOT_SUC_')).
% 0.22/0.44 thf(f44,plain,(
% 0.22/0.44 ~spl4_1 | ~spl4_2),
% 0.22/0.44 inference(avatar_split_clause,[],[f32,f40,f36])).
% 0.22/0.44 thf(f32,plain,(
% 0.22/0.44 (('const/nums/NUMERAL' @ 'const/nums/_0') != ('const/lists/LENGTH' @ sK0 @ sK1)) | (sK1 != 'const/ind_types/NIL' @ sK0)),
% 0.22/0.44 inference(equality_proxy_clausification,[],[f31])).
% 0.22/0.44 thf(f31,plain,(
% 0.22/0.44 ((('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ sK0 @ sK1)) = $false) | (sK1 != 'const/ind_types/NIL' @ sK0)),
% 0.22/0.44 inference(equality_proxy_clausification,[],[f30])).
% 0.22/0.44 thf(f30,plain,(
% 0.22/0.44 ($false = ('const/ind_types/NIL' @ sK0 = sK1)) | ((('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ sK0 @ sK1)) = $false)),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f23])).
% 0.22/0.44 thf(f23,plain,(
% 0.22/0.44 ((('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ sK0 @ sK1)) != ('const/ind_types/NIL' @ sK0 = sK1))),
% 0.22/0.44 inference(cnf_transformation,[],[f19])).
% 0.22/0.44 thf(f19,plain,(
% 0.22/0.44 ((('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ sK0 @ sK1)) != ('const/ind_types/NIL' @ sK0 = sK1))),
% 0.22/0.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f18])).
% 0.22/0.44 thf(f18,plain,(
% 0.22/0.44 ? [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : ((('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ X0 @ X1)) != ('const/ind_types/NIL' @ X0 = X1)) => ((('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ sK0 @ sK1)) != ('const/ind_types/NIL' @ sK0 = sK1))),
% 0.22/0.44 introduced(choice_axiom,[])).
% 0.22/0.44 thf(f15,plain,(
% 0.22/0.44 ? [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : ((('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ X0 @ X1)) != ('const/ind_types/NIL' @ X0 = X1))),
% 0.22/0.44 inference(ennf_transformation,[],[f12])).
% 0.22/0.44 thf(f12,plain,(
% 0.22/0.44 ~! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : ((('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ X0 @ X1)) = ('const/ind_types/NIL' @ X0 = X1))),
% 0.22/0.44 inference(fool_elimination,[],[f11])).
% 0.22/0.44 thf(f11,plain,(
% 0.22/0.44 ~! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : (('const/ind_types/NIL' @ X0 = X1) = (('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ X0 @ X1)))),
% 0.22/0.44 inference(rectify,[],[f7])).
% 0.22/0.44 thf(f7,negated_conjecture,(
% 0.22/0.44 ~! [X0 : $tType,X2 : 'type/ind_types/list' @ X0] : (('const/ind_types/NIL' @ X0 = X2) = (('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ X0 @ X2)))),
% 0.22/0.44 inference(negated_conjecture,[],[f6])).
% 0.22/0.44 thf(f6,conjecture,(
% 0.22/0.44 ! [X0 : $tType,X2 : 'type/ind_types/list' @ X0] : (('const/ind_types/NIL' @ X0 = X2) = (('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ X0 @ X2)))),
% 0.22/0.44 file('/export/starexec/sandbox/tmp/tmp.QQsGQu7Ufq/Vampire---4.8_12492','thm/lists/LENGTH_EQ_NIL_')).
% 0.22/0.44 thf(f43,plain,(
% 0.22/0.44 spl4_1 | spl4_2),
% 0.22/0.44 inference(avatar_split_clause,[],[f34,f40,f36])).
% 0.22/0.44 thf(f34,plain,(
% 0.22/0.44 (('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ sK0 @ sK1)) | (sK1 = 'const/ind_types/NIL' @ sK0)),
% 0.22/0.44 inference(equality_proxy_clausification,[],[f33])).
% 0.22/0.44 thf(f33,plain,(
% 0.22/0.44 ($true = ('const/ind_types/NIL' @ sK0 = sK1)) | (('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ sK0 @ sK1))),
% 0.22/0.44 inference(equality_proxy_clausification,[],[f29])).
% 0.22/0.44 thf(f29,plain,(
% 0.22/0.44 ($true = (('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ sK0 @ sK1))) | ($true = ('const/ind_types/NIL' @ sK0 = sK1))),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f23])).
% 0.22/0.44 % SZS output end Proof for Vampire---4
% 0.22/0.44 % (12773)------------------------------
% 0.22/0.44 % (12773)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (12773)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (12773)Memory used [KB]: 5628
% 0.22/0.44 % (12773)Time elapsed: 0.015 s
% 0.22/0.44 % (12773)Instructions burned: 16 (million)
% 0.22/0.44 % (12773)------------------------------
% 0.22/0.44 % (12773)------------------------------
% 0.22/0.44 % (12746)Success in time 0.061 s
% 0.22/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------