TSTP Solution File: DAT290^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT290^1 : TPTP v8.2.0. 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 : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 19:50:30 EDT 2024
% Result : Theorem 0.22s 0.46s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : DAT290^1 : TPTP v8.2.0. Released v7.0.0.
% 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 : n027.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 : Sun May 19 23:15:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH1_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/benchmark/theBenchmark.p
% 0.15/0.38 % (29692)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.38 % (29693)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.15/0.38 % (29694)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.15/0.38 % (29696)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.38 % (29695)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.38 % (29697)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.15/0.38 % (29698)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.38 % (29699)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.38 % (29696)Instruction limit reached!
% 0.15/0.38 % (29696)------------------------------
% 0.15/0.38 % (29696)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (29696)Termination reason: Unknown
% 0.15/0.38 % (29696)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (29696)Memory used [KB]: 895
% 0.15/0.38 % (29696)Time elapsed: 0.003 s
% 0.15/0.38 % (29696)Instructions burned: 2 (million)
% 0.15/0.38 % (29696)------------------------------
% 0.15/0.38 % (29696)------------------------------
% 0.15/0.38 % (29695)Instruction limit reached!
% 0.15/0.38 % (29695)------------------------------
% 0.15/0.38 % (29695)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (29695)Termination reason: Unknown
% 0.15/0.38 % (29695)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (29695)Memory used [KB]: 5500
% 0.15/0.38 % (29695)Time elapsed: 0.004 s
% 0.15/0.38 % (29695)Instructions burned: 2 (million)
% 0.15/0.38 % (29695)------------------------------
% 0.15/0.38 % (29695)------------------------------
% 0.15/0.38 % (29697)Refutation not found, incomplete strategy
% 0.15/0.38 % (29697)------------------------------
% 0.15/0.38 % (29697)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (29697)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38
% 0.15/0.38
% 0.15/0.38 % (29697)Memory used [KB]: 5500
% 0.15/0.38 % (29697)Time elapsed: 0.004 s
% 0.15/0.38 % (29697)Instructions burned: 2 (million)
% 0.15/0.38 % (29697)------------------------------
% 0.15/0.38 % (29697)------------------------------
% 0.15/0.38 % (29693)Instruction limit reached!
% 0.15/0.38 % (29693)------------------------------
% 0.15/0.38 % (29693)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (29693)Termination reason: Unknown
% 0.15/0.38 % (29693)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (29693)Memory used [KB]: 5500
% 0.15/0.38 % (29693)Time elapsed: 0.005 s
% 0.15/0.38 % (29693)Instructions burned: 4 (million)
% 0.15/0.38 % (29693)------------------------------
% 0.15/0.38 % (29693)------------------------------
% 0.15/0.38 % (29699)Instruction limit reached!
% 0.15/0.38 % (29699)------------------------------
% 0.15/0.38 % (29699)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (29699)Termination reason: Unknown
% 0.15/0.38 % (29699)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (29699)Memory used [KB]: 5500
% 0.15/0.38 % (29699)Time elapsed: 0.005 s
% 0.15/0.38 % (29699)Instructions burned: 3 (million)
% 0.15/0.38 % (29699)------------------------------
% 0.15/0.38 % (29699)------------------------------
% 0.15/0.38 % (29694)Refutation not found, incomplete strategy
% 0.15/0.38 % (29694)------------------------------
% 0.15/0.38 % (29694)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (29694)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38
% 0.15/0.38
% 0.15/0.38 % (29694)Memory used [KB]: 5500
% 0.15/0.38 % (29694)Time elapsed: 0.006 s
% 0.15/0.38 % (29694)Instructions burned: 3 (million)
% 0.15/0.38 % (29694)------------------------------
% 0.15/0.38 % (29694)------------------------------
% 0.15/0.39 % (29698)Instruction limit reached!
% 0.15/0.39 % (29698)------------------------------
% 0.15/0.39 % (29698)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (29698)Termination reason: Unknown
% 0.15/0.39 % (29698)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (29698)Memory used [KB]: 5628
% 0.15/0.39 % (29698)Time elapsed: 0.015 s
% 0.15/0.39 % (29698)Instructions burned: 19 (million)
% 0.15/0.39 % (29698)------------------------------
% 0.15/0.39 % (29698)------------------------------
% 0.15/0.40 % (29700)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.15/0.40 % Exception at run slice level
% 0.15/0.40 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
% 0.15/0.40 % (29701)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.15/0.40 % (29702)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.40 % (29703)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.15/0.40 % (29704)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.40 % Exception at run slice level
% 0.15/0.40 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
% 0.15/0.40 % (29701)Refutation not found, incomplete strategy
% 0.15/0.40 % (29701)------------------------------
% 0.15/0.40 % (29701)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (29705)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.15/0.40 % (29701)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.40
% 0.15/0.40
% 0.15/0.40 % (29701)Memory used [KB]: 5500
% 0.15/0.40 % (29701)Time elapsed: 0.025 s
% 0.15/0.40 % (29701)Instructions burned: 3 (million)
% 0.15/0.40 % (29701)------------------------------
% 0.15/0.40 % (29701)------------------------------
% 0.15/0.40 % (29702)Instruction limit reached!
% 0.15/0.40 % (29702)------------------------------
% 0.15/0.40 % (29702)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (29702)Termination reason: Unknown
% 0.15/0.40 % (29702)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (29702)Memory used [KB]: 5500
% 0.15/0.40 % (29702)Time elapsed: 0.027 s
% 0.15/0.40 % (29702)Instructions burned: 3 (million)
% 0.15/0.40 % (29702)------------------------------
% 0.15/0.40 % (29702)------------------------------
% 0.15/0.40 % (29704)Instruction limit reached!
% 0.15/0.40 % (29704)------------------------------
% 0.15/0.40 % (29704)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (29704)Termination reason: Unknown
% 0.15/0.40 % (29704)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (29704)Memory used [KB]: 1023
% 0.15/0.40 % (29704)Time elapsed: 0.008 s
% 0.15/0.40 % (29704)Instructions burned: 7 (million)
% 0.15/0.40 % (29704)------------------------------
% 0.15/0.40 % (29704)------------------------------
% 0.22/0.41 % (29706)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.41 % (29706)Instruction limit reached!
% 0.22/0.41 % (29706)------------------------------
% 0.22/0.41 % (29706)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (29706)Termination reason: Unknown
% 0.22/0.41 % (29706)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (29706)Memory used [KB]: 5500
% 0.22/0.41 % (29706)Time elapsed: 0.004 s
% 0.22/0.41 % (29706)Instructions burned: 3 (million)
% 0.22/0.41 % (29706)------------------------------
% 0.22/0.41 % (29706)------------------------------
% 0.22/0.41 % (29707)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.41 % (29705)Instruction limit reached!
% 0.22/0.41 % (29705)------------------------------
% 0.22/0.41 % (29705)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (29705)Termination reason: Unknown
% 0.22/0.41 % (29705)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (29705)Memory used [KB]: 5756
% 0.22/0.41 % (29705)Time elapsed: 0.039 s
% 0.22/0.41 % (29705)Instructions burned: 17 (million)
% 0.22/0.41 % (29705)------------------------------
% 0.22/0.41 % (29705)------------------------------
% 0.22/0.41 % (29707)Instruction limit reached!
% 0.22/0.41 % (29707)------------------------------
% 0.22/0.41 % (29707)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (29707)Termination reason: Unknown
% 0.22/0.41 % (29707)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (29707)Memory used [KB]: 1023
% 0.22/0.41 % (29707)Time elapsed: 0.005 s
% 0.22/0.41 % (29707)Instructions burned: 3 (million)
% 0.22/0.41 % (29707)------------------------------
% 0.22/0.41 % (29707)------------------------------
% 0.22/0.42 % (29710)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.42 % (29709)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.42 % 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
% 0.22/0.42 % (29708)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.42 % (29710)Instruction limit reached!
% 0.22/0.42 % (29710)------------------------------
% 0.22/0.42 % (29710)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (29710)Termination reason: Unknown
% 0.22/0.42 % (29710)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (29710)Memory used [KB]: 5500
% 0.22/0.42 % (29710)Time elapsed: 0.005 s
% 0.22/0.42 % (29710)Instructions burned: 4 (million)
% 0.22/0.42 % (29710)------------------------------
% 0.22/0.42 % (29710)------------------------------
% 0.22/0.42 % (29713)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.42 % (29708)Instruction limit reached!
% 0.22/0.42 % (29708)------------------------------
% 0.22/0.42 % (29708)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (29708)Termination reason: Unknown
% 0.22/0.42 % (29708)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (29708)Memory used [KB]: 5500
% 0.22/0.42 % (29708)Time elapsed: 0.007 s
% 0.22/0.42 % (29708)Instructions burned: 7 (million)
% 0.22/0.42 % (29708)------------------------------
% 0.22/0.42 % (29708)------------------------------
% 0.22/0.42 % (29713)Refutation not found, incomplete strategy
% 0.22/0.42 % (29713)------------------------------
% 0.22/0.42 % (29713)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (29713)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.42
% 0.22/0.42
% 0.22/0.42 % (29713)Memory used [KB]: 5500
% 0.22/0.42 % (29713)Time elapsed: 0.006 s
% 0.22/0.42 % (29713)Instructions burned: 5 (million)
% 0.22/0.42 % (29713)------------------------------
% 0.22/0.42 % (29713)------------------------------
% 0.22/0.43 % (29715)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.43 % (29717)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.43 % (29717)Instruction limit reached!
% 0.22/0.43 % (29717)------------------------------
% 0.22/0.43 % (29717)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (29717)Termination reason: Unknown
% 0.22/0.43 % (29717)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (29717)Memory used [KB]: 5500
% 0.22/0.43 % (29717)Time elapsed: 0.007 s
% 0.22/0.43 % (29717)Instructions burned: 7 (million)
% 0.22/0.43 % (29717)------------------------------
% 0.22/0.43 % (29717)------------------------------
% 0.22/0.43 % (29721)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.43 % (29720)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.22/0.43 % 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
% 0.22/0.44 % (29719)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.22/0.44 % (29723)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.44 % (29719)Refutation not found, incomplete strategy
% 0.22/0.44 % (29719)------------------------------
% 0.22/0.44 % (29719)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (29719)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.44
% 0.22/0.44
% 0.22/0.44 % (29719)Memory used [KB]: 5500
% 0.22/0.44 % (29719)Time elapsed: 0.004 s
% 0.22/0.44 % (29719)Instructions burned: 2 (million)
% 0.22/0.44 % (29719)------------------------------
% 0.22/0.44 % (29719)------------------------------
% 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 % (29725)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.22/0.45 % (29726)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.22/0.45 % Exception at run slice level
% 0.22/0.45 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
% 0.22/0.45 % (29728)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.22/0.45 % (29720)Instruction limit reached!
% 0.22/0.45 % (29720)------------------------------
% 0.22/0.45 % (29720)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (29720)Termination reason: Unknown
% 0.22/0.45 % (29720)Termination phase: Saturation
% 0.22/0.45 % Exception at run slice level
% 0.22/0.45 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
% 0.22/0.45
% 0.22/0.45 % (29720)Memory used [KB]: 5628
% 0.22/0.45 % (29720)Time elapsed: 0.019 s
% 0.22/0.45 % (29720)Instructions burned: 21 (million)
% 0.22/0.45 % (29720)------------------------------
% 0.22/0.45 % (29720)------------------------------
% 0.22/0.45 % (29729)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.22/0.45 % (29730)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.22/0.45 % (29725)First to succeed.
% 0.22/0.46 % (29725)Refutation found. Thanks to Tanya!
% 0.22/0.46 % SZS status Theorem for theBenchmark
% 0.22/0.46 % SZS output start Proof for theBenchmark
% 0.22/0.46 thf(type_def_5, type, 'type/nums/num': $tType).
% 0.22/0.46 thf(type_def_7, type, 'type/ind_types/list': ($tType) > $tType).
% 0.22/0.46 thf(type_def_8, type, sK2: $tType).
% 0.22/0.46 thf(func_def_0, type, 'type/nums/num': $tType).
% 0.22/0.46 thf(func_def_1, type, 'type/ind_types/list': ($tType) > $tType).
% 0.22/0.46 thf(func_def_2, type, 'const/nums/SUC': 'type/nums/num' > 'type/nums/num').
% 0.22/0.46 thf(func_def_3, type, 'const/nums/NUMERAL': 'type/nums/num' > 'type/nums/num').
% 0.22/0.46 thf(func_def_4, type, 'const/nums/_0': 'type/nums/num').
% 0.22/0.46 thf(func_def_5, type, 'const/lists/LENGTH': !>[X0: $tType]:('type/ind_types/list' @ X0 > 'type/nums/num')).
% 0.22/0.46 thf(func_def_6, type, 'const/ind_types/NIL': !>[X0: $tType]:('type/ind_types/list' @ X0)).
% 0.22/0.46 thf(func_def_7, type, 'const/ind_types/CONS': !>[X0: $tType]:(X0 > 'type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0)).
% 0.22/0.46 thf(func_def_12, type, sK0: !>[X0: $tType]:(('type/ind_types/list' @ X0 > $o) > X0)).
% 0.22/0.46 thf(func_def_13, type, sK1: !>[X0: $tType]:(('type/ind_types/list' @ X0 > $o) > 'type/ind_types/list' @ X0)).
% 0.22/0.46 thf(func_def_14, type, sK3: 'type/ind_types/list' @ sK2).
% 0.22/0.46 thf(func_def_16, type, ph5: !>[X0: $tType]:(X0)).
% 0.22/0.46 thf(f167,plain,(
% 0.22/0.46 $false),
% 0.22/0.46 inference(avatar_sat_refutation,[],[f44,f45,f153,f157])).
% 0.22/0.46 thf(f157,plain,(
% 0.22/0.46 spl4_2 | ~spl4_1),
% 0.22/0.46 inference(avatar_split_clause,[],[f156,f37,f41])).
% 0.22/0.46 thf(f41,plain,(
% 0.22/0.46 spl4_2 <=> (('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ sK2 @ sK3))),
% 0.22/0.46 introduced(avatar_definition,[new_symbols(naming,[spl4_2])])).
% 0.22/0.46 thf(f37,plain,(
% 0.22/0.46 spl4_1 <=> ('const/ind_types/NIL' @ sK2 = sK3)),
% 0.22/0.46 introduced(avatar_definition,[new_symbols(naming,[spl4_1])])).
% 0.22/0.46 thf(f156,plain,(
% 0.22/0.46 (('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ sK2 @ sK3)) | ~spl4_1),
% 0.22/0.46 inference(superposition,[],[f29,f39])).
% 0.22/0.46 thf(f39,plain,(
% 0.22/0.46 ('const/ind_types/NIL' @ sK2 = sK3) | ~spl4_1),
% 0.22/0.46 inference(avatar_component_clause,[],[f37])).
% 0.22/0.46 thf(f29,plain,(
% 0.22/0.46 ( ! [X0 : $tType] : ((('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ X0 @ 'const/ind_types/NIL' @ X0))) )),
% 0.22/0.46 inference(cnf_transformation,[],[f5])).
% 0.22/0.46 thf(f5,axiom,(
% 0.22/0.46 ! [X0 : $tType] : (('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ X0 @ 'const/ind_types/NIL' @ X0))),
% 0.22/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/lists/LENGTH_0')).
% 0.22/0.46 thf(f153,plain,(
% 0.22/0.46 spl4_1 | ~spl4_2),
% 0.22/0.46 inference(avatar_split_clause,[],[f152,f41,f37])).
% 0.22/0.46 thf(f152,plain,(
% 0.22/0.46 ('const/ind_types/NIL' @ sK2 = sK3) | ~spl4_2),
% 0.22/0.46 inference(trivial_inequality_removal,[],[f149])).
% 0.22/0.46 thf(f149,plain,(
% 0.22/0.46 (('const/nums/NUMERAL' @ 'const/nums/_0') != ('const/nums/NUMERAL' @ 'const/nums/_0')) | ('const/ind_types/NIL' @ sK2 = sK3) | ~spl4_2),
% 0.22/0.46 inference(superposition,[],[f148,f43])).
% 0.22/0.46 thf(f43,plain,(
% 0.22/0.46 (('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ sK2 @ sK3)) | ~spl4_2),
% 0.22/0.46 inference(avatar_component_clause,[],[f41])).
% 0.22/0.46 thf(f148,plain,(
% 0.22/0.46 ( ! [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)) )),
% 0.22/0.46 inference(superposition,[],[f27,f135])).
% 0.22/0.46 thf(f135,plain,(
% 0.22/0.46 ( ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : ((('const/lists/LENGTH' @ X0 @ X1) = ('const/nums/SUC' @ ('const/lists/LENGTH' @ X0 @ (sK1 @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (~ (X1 = Y0))))))) | ('const/ind_types/NIL' @ X0 = X1)) )),
% 0.22/0.46 inference(superposition,[],[f23,f94])).
% 0.22/0.46 thf(f94,plain,(
% 0.22/0.46 ( ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : ((('const/ind_types/CONS' @ X0 @ (sK0 @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (~ (X1 = Y0)))) @ (sK1 @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (~ (X1 = Y0))))) = X1) | ('const/ind_types/NIL' @ X0 = X1)) )),
% 0.22/0.46 inference(equality_proxy_clausification,[],[f93])).
% 0.22/0.46 thf(f93,plain,(
% 0.22/0.46 ( ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : (((X1 = 'const/ind_types/NIL' @ X0) = $true) | (('const/ind_types/CONS' @ X0 @ (sK0 @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (~ (X1 = Y0)))) @ (sK1 @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (~ (X1 = Y0))))) = X1)) )),
% 0.22/0.46 inference(not_proxy_clausification,[],[f92])).
% 0.22/0.46 thf(f92,plain,(
% 0.22/0.46 ( ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : ((('const/ind_types/CONS' @ X0 @ (sK0 @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (~ (X1 = Y0)))) @ (sK1 @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (~ (X1 = Y0))))) = X1) | ((~ (X1 = 'const/ind_types/NIL' @ X0)) != $true)) )),
% 0.22/0.46 inference(beta_eta_normalization,[],[f79])).
% 0.22/0.46 thf(f79,plain,(
% 0.22/0.46 ( ! [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 @ (sK0 @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (~ (X1 = Y0)))) @ (sK1 @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (~ (X1 = Y0))))) = X1)) )),
% 0.22/0.46 inference(leibniz_equality_elimination,[],[f25])).
% 0.22/0.46 thf(f25,plain,(
% 0.22/0.46 ( ! [X0 : $tType,X2 : 'type/ind_types/list' @ X0,X1 : 'type/ind_types/list' @ X0 > $o] : (($true != (X1 @ ('const/ind_types/CONS' @ X0 @ (sK0 @ X0 @ X1) @ (sK1 @ X0 @ X1)))) | ((X1 @ X2) = $true) | ((X1 @ 'const/ind_types/NIL' @ X0) != $true)) )),
% 0.22/0.46 inference(cnf_transformation,[],[f20])).
% 0.22/0.46 thf(f20,plain,(
% 0.22/0.46 ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o] : (! [X2 : 'type/ind_types/list' @ X0] : ((X1 @ X2) = $true) | (($true != (X1 @ ('const/ind_types/CONS' @ X0 @ (sK0 @ X0 @ X1) @ (sK1 @ X0 @ X1)))) & ((X1 @ (sK1 @ X0 @ X1)) = $true)) | ((X1 @ 'const/ind_types/NIL' @ X0) != $true))),
% 0.22/0.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f18,f19])).
% 0.22/0.46 thf(f19,plain,(
% 0.22/0.46 ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o] : (? [X3 : X0,X4 : 'type/ind_types/list' @ X0] : (($true != (X1 @ ('const/ind_types/CONS' @ X0 @ X3 @ X4))) & ((X1 @ X4) = $true)) => (($true != (X1 @ ('const/ind_types/CONS' @ X0 @ (sK0 @ X0 @ X1) @ (sK1 @ X0 @ X1)))) & ((X1 @ (sK1 @ X0 @ X1)) = $true)))),
% 0.22/0.46 introduced(choice_axiom,[])).
% 0.22/0.46 thf(f18,plain,(
% 0.22/0.46 ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o] : (! [X2 : 'type/ind_types/list' @ X0] : ((X1 @ X2) = $true) | ? [X3 : X0,X4 : 'type/ind_types/list' @ X0] : (($true != (X1 @ ('const/ind_types/CONS' @ X0 @ X3 @ X4))) & ((X1 @ X4) = $true)) | ((X1 @ 'const/ind_types/NIL' @ X0) != $true))),
% 0.22/0.46 inference(rectify,[],[f17])).
% 0.22/0.46 thf(f17,plain,(
% 0.22/0.46 ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o] : (! [X4 : 'type/ind_types/list' @ X0] : ((X1 @ X4) = $true) | ? [X2 : X0,X3 : 'type/ind_types/list' @ X0] : (((X1 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3)) != $true) & ((X1 @ X3) = $true)) | ((X1 @ 'const/ind_types/NIL' @ X0) != $true))),
% 0.22/0.46 inference(flattening,[],[f16])).
% 0.22/0.46 thf(f16,plain,(
% 0.22/0.46 ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o] : (! [X4 : 'type/ind_types/list' @ X0] : ((X1 @ X4) = $true) | (((X1 @ 'const/ind_types/NIL' @ X0) != $true) | ? [X2 : X0,X3 : 'type/ind_types/list' @ X0] : (((X1 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3)) != $true) & ((X1 @ X3) = $true))))),
% 0.22/0.46 inference(ennf_transformation,[],[f12])).
% 0.22/0.46 thf(f12,plain,(
% 0.22/0.46 ! [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] : ((X1 @ X4) = $true))),
% 0.22/0.46 inference(fool_elimination,[],[f11])).
% 0.22/0.46 thf(f11,plain,(
% 0.22/0.46 ! [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))),
% 0.22/0.46 inference(rectify,[],[f1])).
% 0.22/0.46 thf(f1,axiom,(
% 0.22/0.46 ! [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))),
% 0.22/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/ind_types/list_INDUCT_')).
% 0.22/0.46 thf(f23,plain,(
% 0.22/0.46 ( ! [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)))) )),
% 0.22/0.46 inference(cnf_transformation,[],[f13])).
% 0.22/0.46 thf(f13,plain,(
% 0.22/0.46 ! [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)))),
% 0.22/0.46 inference(rectify,[],[f4])).
% 0.22/0.46 thf(f4,axiom,(
% 0.22/0.46 ! [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)))),
% 0.22/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/lists/LENGTH_1')).
% 0.22/0.46 thf(f27,plain,(
% 0.22/0.46 ( ! [X0 : 'type/nums/num'] : ((('const/nums/SUC' @ X0) != ('const/nums/NUMERAL' @ 'const/nums/_0'))) )),
% 0.22/0.46 inference(cnf_transformation,[],[f3])).
% 0.22/0.46 thf(f3,axiom,(
% 0.22/0.46 ! [X0 : 'type/nums/num'] : (('const/nums/SUC' @ X0) != ('const/nums/NUMERAL' @ 'const/nums/_0'))),
% 0.22/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/nums/NOT_SUC_')).
% 0.22/0.46 thf(f45,plain,(
% 0.22/0.46 ~spl4_2 | ~spl4_1),
% 0.22/0.46 inference(avatar_split_clause,[],[f33,f37,f41])).
% 0.22/0.46 thf(f33,plain,(
% 0.22/0.46 (('const/nums/NUMERAL' @ 'const/nums/_0') != ('const/lists/LENGTH' @ sK2 @ sK3)) | ('const/ind_types/NIL' @ sK2 != sK3)),
% 0.22/0.46 inference(equality_proxy_clausification,[],[f32])).
% 0.22/0.46 thf(f32,plain,(
% 0.22/0.46 (('const/ind_types/NIL' @ sK2 = sK3) = $false) | (('const/nums/NUMERAL' @ 'const/nums/_0') != ('const/lists/LENGTH' @ sK2 @ sK3))),
% 0.22/0.46 inference(equality_proxy_clausification,[],[f31])).
% 0.22/0.46 thf(f31,plain,(
% 0.22/0.46 ($false = (('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ sK2 @ sK3))) | (('const/ind_types/NIL' @ sK2 = sK3) = $false)),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f28])).
% 0.22/0.46 thf(f28,plain,(
% 0.22/0.46 (('const/ind_types/NIL' @ sK2 = sK3) != (('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ sK2 @ sK3)))),
% 0.22/0.46 inference(cnf_transformation,[],[f22])).
% 0.22/0.46 thf(f22,plain,(
% 0.22/0.46 (('const/ind_types/NIL' @ sK2 = sK3) != (('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ sK2 @ sK3)))),
% 0.22/0.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f15,f21])).
% 0.22/0.46 thf(f21,plain,(
% 0.22/0.46 ? [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/ind_types/NIL' @ sK2 = sK3) != (('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ sK2 @ sK3)))),
% 0.22/0.46 introduced(choice_axiom,[])).
% 0.22/0.46 thf(f15,plain,(
% 0.22/0.46 ? [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))),
% 0.22/0.46 inference(ennf_transformation,[],[f10])).
% 0.22/0.46 thf(f10,plain,(
% 0.22/0.46 ~! [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))),
% 0.22/0.46 inference(fool_elimination,[],[f9])).
% 0.22/0.46 thf(f9,plain,(
% 0.22/0.46 ~! [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))),
% 0.22/0.46 inference(rectify,[],[f7])).
% 0.22/0.46 thf(f7,negated_conjecture,(
% 0.22/0.46 ~! [X0 : $tType,X2 : 'type/ind_types/list' @ X0] : ((('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ X0 @ X2)) = ('const/ind_types/NIL' @ X0 = X2))),
% 0.22/0.46 inference(negated_conjecture,[],[f6])).
% 0.22/0.46 thf(f6,conjecture,(
% 0.22/0.46 ! [X0 : $tType,X2 : 'type/ind_types/list' @ X0] : ((('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ X0 @ X2)) = ('const/ind_types/NIL' @ X0 = X2))),
% 0.22/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/lists/LENGTH_EQ_NIL_')).
% 0.22/0.46 thf(f44,plain,(
% 0.22/0.46 spl4_1 | spl4_2),
% 0.22/0.46 inference(avatar_split_clause,[],[f35,f41,f37])).
% 0.22/0.46 thf(f35,plain,(
% 0.22/0.46 (('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ sK2 @ sK3)) | ('const/ind_types/NIL' @ sK2 = sK3)),
% 0.22/0.46 inference(equality_proxy_clausification,[],[f34])).
% 0.22/0.46 thf(f34,plain,(
% 0.22/0.46 (('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ sK2 @ sK3)) | (('const/ind_types/NIL' @ sK2 = sK3) = $true)),
% 0.22/0.46 inference(equality_proxy_clausification,[],[f30])).
% 0.22/0.46 thf(f30,plain,(
% 0.22/0.46 ((('const/nums/NUMERAL' @ 'const/nums/_0') = ('const/lists/LENGTH' @ sK2 @ sK3)) = $true) | (('const/ind_types/NIL' @ sK2 = sK3) = $true)),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f28])).
% 0.22/0.46 % SZS output end Proof for theBenchmark
% 0.22/0.46 % (29725)------------------------------
% 0.22/0.46 % (29725)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (29725)Termination reason: Refutation
% 0.22/0.46
% 0.22/0.46 % (29725)Memory used [KB]: 5628
% 0.22/0.46 % (29725)Time elapsed: 0.016 s
% 0.22/0.46 % (29725)Instructions burned: 16 (million)
% 0.22/0.46 % (29725)------------------------------
% 0.22/0.46 % (29725)------------------------------
% 0.22/0.46 % (29691)Success in time 0.087 s
% 0.22/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------