TSTP Solution File: SEU793^2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU793^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n026.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 : Tue May 21 03:51:35 EDT 2024
% Result : Theorem 1.47s 0.56s
% Output : Refutation 1.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU793^2 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 17:50:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 % (31858)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.37 % (31852)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.37 % (31854)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)
% 0.14/0.37 % (31855)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.37 % (31855)Instruction limit reached!
% 0.14/0.37 % (31855)------------------------------
% 0.14/0.37 % (31855)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (31855)Termination reason: Unknown
% 0.14/0.37 % (31855)Termination phase: Preprocessing 3
% 0.14/0.37
% 0.14/0.37 % (31855)Memory used [KB]: 895
% 0.14/0.37 % (31855)Time elapsed: 0.003 s
% 0.14/0.37 % (31855)Instructions burned: 2 (million)
% 0.14/0.37 % (31855)------------------------------
% 0.14/0.37 % (31855)------------------------------
% 0.14/0.37 % (31857)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)
% 0.14/0.37 % (31857)Refutation not found, incomplete strategy
% 0.14/0.37 % (31857)------------------------------
% 0.14/0.37 % (31857)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (31857)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37
% 0.14/0.37
% 0.14/0.37 % (31857)Memory used [KB]: 5500
% 0.14/0.37 % (31857)Time elapsed: 0.006 s
% 0.14/0.37 % (31857)Instructions burned: 6 (million)
% 0.14/0.37 % (31857)------------------------------
% 0.14/0.37 % (31857)------------------------------
% 0.14/0.37 % (31856)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)
% 0.14/0.37 % (31856)Instruction limit reached!
% 0.14/0.37 % (31856)------------------------------
% 0.14/0.37 % (31856)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (31856)Termination reason: Unknown
% 0.14/0.37 % (31856)Termination phase: Saturation
% 0.14/0.37
% 0.14/0.37 % (31856)Memory used [KB]: 1023
% 0.14/0.37 % (31856)Time elapsed: 0.003 s
% 0.14/0.37 % (31856)Instructions burned: 3 (million)
% 0.14/0.37 % (31856)------------------------------
% 0.14/0.37 % (31856)------------------------------
% 0.14/0.38 % (31858)Instruction limit reached!
% 0.14/0.38 % (31858)------------------------------
% 0.14/0.38 % (31858)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (31858)Termination reason: Unknown
% 0.14/0.38 % (31858)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (31858)Memory used [KB]: 5628
% 0.14/0.38 % (31858)Time elapsed: 0.012 s
% 0.14/0.38 % (31858)Instructions burned: 19 (million)
% 0.14/0.38 % (31858)------------------------------
% 0.14/0.38 % (31858)------------------------------
% 0.14/0.38 % (31859)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)
% 0.14/0.38 % (31853)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)
% 0.14/0.38 % (31859)Instruction limit reached!
% 0.14/0.38 % (31859)------------------------------
% 0.14/0.38 % (31859)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (31859)Termination reason: Unknown
% 0.14/0.38 % (31859)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (31859)Memory used [KB]: 5500
% 0.14/0.38 % (31859)Time elapsed: 0.003 s
% 0.14/0.38 % (31859)Instructions burned: 3 (million)
% 0.14/0.38 % (31859)------------------------------
% 0.14/0.38 % (31859)------------------------------
% 0.14/0.38 % (31854)Refutation not found, incomplete strategy
% 0.14/0.38 % (31854)------------------------------
% 0.14/0.38 % (31854)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (31854)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % (31854)Memory used [KB]: 5628
% 0.14/0.38 % (31854)Time elapsed: 0.015 s
% 0.14/0.38 % (31854)Instructions burned: 20 (million)
% 0.14/0.38 % (31854)------------------------------
% 0.14/0.38 % (31854)------------------------------
% 0.14/0.38 % (31853)Instruction limit reached!
% 0.14/0.38 % (31853)------------------------------
% 0.14/0.38 % (31853)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (31853)Termination reason: Unknown
% 0.14/0.38 % (31853)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (31853)Memory used [KB]: 5500
% 0.14/0.38 % (31853)Time elapsed: 0.005 s
% 0.14/0.38 % (31853)Instructions burned: 5 (million)
% 0.14/0.38 % (31853)------------------------------
% 0.14/0.38 % (31853)------------------------------
% 0.14/0.38 % (31860)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)
% 0.14/0.39 % (31862)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)
% 0.14/0.39 % (31861)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)
% 0.14/0.39 % (31862)Instruction limit reached!
% 0.14/0.39 % (31862)------------------------------
% 0.14/0.39 % (31862)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (31862)Termination reason: Unknown
% 0.14/0.39 % (31862)Termination phase: Property scanning
% 0.14/0.39
% 0.14/0.39 % (31862)Memory used [KB]: 1023
% 0.14/0.39 % (31862)Time elapsed: 0.003 s
% 0.14/0.39 % (31862)Instructions burned: 3 (million)
% 0.14/0.39 % (31862)------------------------------
% 0.14/0.39 % (31862)------------------------------
% 0.14/0.39 % (31863)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)
% 0.21/0.39 % (31865)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.39 % (31866)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)
% 0.21/0.40 % (31864)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.40 % (31866)Instruction limit reached!
% 0.21/0.40 % (31866)------------------------------
% 0.21/0.40 % (31866)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (31866)Termination reason: Unknown
% 0.21/0.40 % (31866)Termination phase: Property scanning
% 0.21/0.40
% 0.21/0.40 % (31866)Memory used [KB]: 1023
% 0.21/0.40 % (31866)Time elapsed: 0.004 s
% 0.21/0.40 % (31866)Instructions burned: 4 (million)
% 0.21/0.40 % (31866)------------------------------
% 0.21/0.40 % (31866)------------------------------
% 0.21/0.40 % (31861)Instruction limit reached!
% 0.21/0.40 % (31861)------------------------------
% 0.21/0.40 % (31861)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (31861)Termination reason: Unknown
% 0.21/0.40 % (31861)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (31861)Memory used [KB]: 5628
% 0.21/0.40 % (31861)Time elapsed: 0.012 s
% 0.21/0.40 % (31861)Instructions burned: 16 (million)
% 0.21/0.40 % (31861)------------------------------
% 0.21/0.40 % (31861)------------------------------
% 0.21/0.40 % (31864)Instruction limit reached!
% 0.21/0.40 % (31864)------------------------------
% 0.21/0.40 % (31864)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (31864)Termination reason: Unknown
% 0.21/0.40 % (31864)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (31864)Memory used [KB]: 1023
% 0.21/0.40 % (31864)Time elapsed: 0.005 s
% 0.21/0.40 % (31864)Instructions burned: 7 (million)
% 0.21/0.40 % (31864)------------------------------
% 0.21/0.40 % (31864)------------------------------
% 0.21/0.40 % (31867)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)
% 0.21/0.40 % (31860)Instruction limit reached!
% 0.21/0.40 % (31860)------------------------------
% 0.21/0.40 % (31860)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (31860)Termination reason: Unknown
% 0.21/0.40 % (31860)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (31860)Memory used [KB]: 5756
% 0.21/0.40 % (31860)Time elapsed: 0.024 s
% 0.21/0.40 % (31860)Instructions burned: 37 (million)
% 0.21/0.40 % (31860)------------------------------
% 0.21/0.40 % (31860)------------------------------
% 0.21/0.40 % (31867)Instruction limit reached!
% 0.21/0.40 % (31867)------------------------------
% 0.21/0.40 % (31867)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (31867)Termination reason: Unknown
% 0.21/0.40 % (31867)Termination phase: Function definition elimination
% 0.21/0.40
% 0.21/0.40 % (31867)Memory used [KB]: 1023
% 0.21/0.40 % (31867)Time elapsed: 0.003 s
% 0.21/0.40 % (31867)Instructions burned: 3 (million)
% 0.21/0.40 % (31867)------------------------------
% 0.21/0.40 % (31867)------------------------------
% 0.21/0.41 % (31865)Instruction limit reached!
% 0.21/0.41 % (31865)------------------------------
% 0.21/0.41 % (31865)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (31865)Termination reason: Unknown
% 0.21/0.41 % (31865)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (31865)Memory used [KB]: 5756
% 0.21/0.41 % (31865)Time elapsed: 0.013 s
% 0.21/0.41 % (31865)Instructions burned: 16 (million)
% 0.21/0.41 % (31865)------------------------------
% 0.21/0.41 % (31865)------------------------------
% 0.21/0.41 % (31868)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)
% 0.21/0.41 % (31870)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.41 % (31870)Instruction limit reached!
% 0.21/0.41 % (31870)------------------------------
% 0.21/0.41 % (31870)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (31870)Termination reason: Unknown
% 0.21/0.41 % (31868)Refutation not found, incomplete strategy
% 0.21/0.41 % (31868)------------------------------
% 0.21/0.41 % (31868)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (31868)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.41
% 0.21/0.41
% 0.21/0.41 % (31868)Memory used [KB]: 5500
% 0.21/0.41 % (31868)Time elapsed: 0.004 s
% 0.21/0.41 % (31868)Instructions burned: 4 (million)
% 0.21/0.41 % (31868)------------------------------
% 0.21/0.41 % (31868)------------------------------
% 0.21/0.41 % (31870)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (31870)Memory used [KB]: 5500
% 0.21/0.41 % (31870)Time elapsed: 0.004 s
% 0.21/0.41 % (31870)Instructions burned: 5 (million)
% 0.21/0.41 % (31870)------------------------------
% 0.21/0.41 % (31870)------------------------------
% 0.21/0.42 % (31871)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)
% 0.21/0.42 % (31872)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.42 % (31873)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.42 % (31869)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)
% 0.21/0.43 % (31873)Instruction limit reached!
% 0.21/0.43 % (31873)------------------------------
% 0.21/0.43 % (31873)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (31873)Termination reason: Unknown
% 0.21/0.43 % (31873)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (31873)Memory used [KB]: 5500
% 0.21/0.43 % (31873)Time elapsed: 0.005 s
% 0.21/0.43 % (31873)Instructions burned: 7 (million)
% 0.21/0.43 % (31873)------------------------------
% 0.21/0.43 % (31873)------------------------------
% 0.21/0.43 % (31869)Instruction limit reached!
% 0.21/0.43 % (31869)------------------------------
% 0.21/0.43 % (31869)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (31869)Termination reason: Unknown
% 0.21/0.43 % (31869)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (31869)Memory used [KB]: 5500
% 0.21/0.43 % (31869)Time elapsed: 0.004 s
% 0.21/0.43 % (31869)Instructions burned: 3 (million)
% 0.21/0.43 % (31869)------------------------------
% 0.21/0.43 % (31869)------------------------------
% 0.21/0.43 % (31871)Refutation not found, incomplete strategy
% 0.21/0.43 % (31871)------------------------------
% 0.21/0.43 % (31871)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (31871)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43
% 0.21/0.43
% 0.21/0.43 % (31871)Memory used [KB]: 5628
% 0.21/0.43 % (31871)Time elapsed: 0.011 s
% 0.21/0.43 % (31871)Instructions burned: 15 (million)
% 0.21/0.43 % (31871)------------------------------
% 0.21/0.43 % (31871)------------------------------
% 0.21/0.43 % (31874)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)
% 0.21/0.43 % (31875)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)
% 0.21/0.43 % (31874)Refutation not found, incomplete strategy
% 0.21/0.43 % (31874)------------------------------
% 0.21/0.43 % (31874)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (31874)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43
% 0.21/0.43
% 0.21/0.43 % (31874)Memory used [KB]: 5500
% 0.21/0.43 % (31874)Time elapsed: 0.004 s
% 0.21/0.43 % (31874)Instructions burned: 4 (million)
% 0.21/0.43 % (31874)------------------------------
% 0.21/0.43 % (31874)------------------------------
% 0.21/0.44 % (31876)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.44 % (31877)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)
% 0.21/0.44 % (31876)Instruction limit reached!
% 0.21/0.44 % (31876)------------------------------
% 0.21/0.44 % (31876)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (31876)Termination reason: Unknown
% 0.21/0.44 % (31876)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (31876)Memory used [KB]: 5500
% 0.21/0.44 % (31876)Time elapsed: 0.004 s
% 0.21/0.44 % (31876)Instructions burned: 7 (million)
% 0.21/0.44 % (31876)------------------------------
% 0.21/0.44 % (31876)------------------------------
% 0.21/0.44 % (31877)Instruction limit reached!
% 0.21/0.44 % (31877)------------------------------
% 0.21/0.44 % (31877)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (31877)Termination reason: Unknown
% 0.21/0.44 % (31877)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (31877)Memory used [KB]: 5500
% 0.21/0.44 % (31877)Time elapsed: 0.005 s
% 0.21/0.44 % (31877)Instructions burned: 6 (million)
% 0.21/0.44 % (31877)------------------------------
% 0.21/0.44 % (31877)------------------------------
% 0.21/0.44 % (31878)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.21/0.45 % (31879)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)
% 0.21/0.45 % (31875)Instruction limit reached!
% 0.21/0.45 % (31875)------------------------------
% 0.21/0.45 % (31875)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (31875)Termination reason: Unknown
% 0.21/0.45 % (31875)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (31875)Memory used [KB]: 5628
% 0.21/0.45 % (31875)Time elapsed: 0.021 s
% 0.21/0.45 % (31875)Instructions burned: 22 (million)
% 0.21/0.45 % (31875)------------------------------
% 0.21/0.45 % (31875)------------------------------
% 0.21/0.45 % (31852)Instruction limit reached!
% 0.21/0.45 % (31852)------------------------------
% 0.21/0.45 % (31852)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (31852)Termination reason: Unknown
% 0.21/0.45 % (31852)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.46 % (31852)Memory used [KB]: 6524
% 0.21/0.46 % (31852)Time elapsed: 0.091 s
% 0.21/0.46 % (31852)Instructions burned: 185 (million)
% 0.21/0.46 % (31852)------------------------------
% 0.21/0.46 % (31852)------------------------------
% 0.21/0.46 % (31880)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)
% 0.21/0.46 % (31881)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)
% 0.21/0.46 % (31882)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.21/0.47 % (31880)Instruction limit reached!
% 0.21/0.47 % (31880)------------------------------
% 0.21/0.47 % (31880)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (31880)Termination reason: Unknown
% 0.21/0.47 % (31880)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (31880)Memory used [KB]: 5628
% 0.21/0.47 % (31880)Time elapsed: 0.011 s
% 0.21/0.47 % (31880)Instructions burned: 19 (million)
% 0.21/0.47 % (31880)------------------------------
% 0.21/0.47 % (31880)------------------------------
% 0.21/0.47 % (31882)Instruction limit reached!
% 0.21/0.47 % (31882)------------------------------
% 0.21/0.47 % (31882)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (31882)Termination reason: Unknown
% 0.21/0.47 % (31882)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (31882)Memory used [KB]: 5628
% 0.21/0.47 % (31882)Time elapsed: 0.008 s
% 0.21/0.47 % (31882)Instructions burned: 19 (million)
% 0.21/0.47 % (31882)------------------------------
% 0.21/0.47 % (31882)------------------------------
% 0.21/0.47 % (31884)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.21/0.48 % (31885)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.21/0.48 % (31884)Refutation not found, incomplete strategy
% 0.21/0.48 % (31884)------------------------------
% 0.21/0.48 % (31884)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (31884)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.48
% 0.21/0.48
% 0.21/0.48 % (31884)Memory used [KB]: 5500
% 0.21/0.48 % (31884)Time elapsed: 0.004 s
% 0.21/0.48 % (31884)Instructions burned: 6 (million)
% 0.21/0.48 % (31884)------------------------------
% 0.21/0.48 % (31884)------------------------------
% 0.21/0.48 % (31883)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.48 % (31883)Instruction limit reached!
% 0.21/0.48 % (31883)------------------------------
% 0.21/0.48 % (31883)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (31883)Termination reason: Unknown
% 0.21/0.48 % (31883)Termination phase: Property scanning
% 0.21/0.48
% 0.21/0.48 % (31883)Memory used [KB]: 1023
% 0.21/0.48 % (31883)Time elapsed: 0.002 s
% 0.21/0.48 % (31883)Instructions burned: 3 (million)
% 0.21/0.48 % (31883)------------------------------
% 0.21/0.48 % (31883)------------------------------
% 0.21/0.49 % (31886)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.21/0.49 % (31886)Refutation not found, incomplete strategy
% 0.21/0.49 % (31886)------------------------------
% 0.21/0.49 % (31886)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (31886)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.49
% 0.21/0.49
% 0.21/0.49 % (31886)Memory used [KB]: 5628
% 0.21/0.49 % (31886)Time elapsed: 0.008 s
% 0.21/0.49 % (31886)Instructions burned: 19 (million)
% 0.21/0.49 % (31886)------------------------------
% 0.21/0.49 % (31886)------------------------------
% 0.21/0.50 % (31887)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 theBenchmark for (2998ds/3Mi)
% 0.21/0.50 % (31887)Instruction limit reached!
% 0.21/0.50 % (31887)------------------------------
% 0.21/0.50 % (31887)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (31887)Termination reason: Unknown
% 0.21/0.50 % (31887)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (31887)Memory used [KB]: 5500
% 0.21/0.50 % (31887)Time elapsed: 0.002 s
% 0.21/0.50 % (31887)Instructions burned: 3 (million)
% 0.21/0.50 % (31887)------------------------------
% 0.21/0.50 % (31887)------------------------------
% 0.21/0.51 % (31889)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 theBenchmark for (2998ds/86Mi)
% 0.21/0.51 % (31888)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 theBenchmark for (2998ds/20Mi)
% 0.21/0.52 % (31885)Instruction limit reached!
% 0.21/0.52 % (31885)------------------------------
% 0.21/0.52 % (31885)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.52 % (31885)Termination reason: Unknown
% 0.21/0.52 % (31885)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (31885)Memory used [KB]: 6140
% 0.21/0.52 % (31885)Time elapsed: 0.041 s
% 0.21/0.52 % (31885)Instructions burned: 128 (million)
% 0.21/0.52 % (31885)------------------------------
% 0.21/0.52 % (31885)------------------------------
% 1.35/0.52 % (31888)Instruction limit reached!
% 1.35/0.52 % (31888)------------------------------
% 1.35/0.52 % (31888)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.35/0.52 % (31888)Termination reason: Unknown
% 1.35/0.52 % (31888)Termination phase: Saturation
% 1.35/0.52
% 1.35/0.52 % (31888)Memory used [KB]: 5756
% 1.35/0.52 % (31888)Time elapsed: 0.014 s
% 1.35/0.52 % (31888)Instructions burned: 21 (million)
% 1.35/0.52 % (31888)------------------------------
% 1.35/0.52 % (31888)------------------------------
% 1.35/0.53 % (31890)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 theBenchmark for (2998ds/107Mi)
% 1.35/0.53 % (31890)Refutation not found, incomplete strategy
% 1.35/0.53 % (31890)------------------------------
% 1.35/0.53 % (31890)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.35/0.53 % (31890)Termination reason: Refutation not found, incomplete strategy
% 1.35/0.53
% 1.35/0.53
% 1.35/0.53 % (31890)Memory used [KB]: 5628
% 1.35/0.53 % (31890)Time elapsed: 0.008 s
% 1.35/0.53 % (31890)Instructions burned: 20 (million)
% 1.35/0.53 % (31890)------------------------------
% 1.35/0.53 % (31890)------------------------------
% 1.47/0.54 % (31889)Instruction limit reached!
% 1.47/0.54 % (31889)------------------------------
% 1.47/0.54 % (31889)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.47/0.54 % (31889)Termination reason: Unknown
% 1.47/0.54 % (31889)Termination phase: Saturation
% 1.47/0.54
% 1.47/0.54 % (31889)Memory used [KB]: 6012
% 1.47/0.54 % (31889)Time elapsed: 0.030 s
% 1.47/0.54 % (31889)Instructions burned: 88 (million)
% 1.47/0.54 % (31889)------------------------------
% 1.47/0.54 % (31889)------------------------------
% 1.47/0.54 % (31892)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 theBenchmark for (2998ds/448Mi)
% 1.47/0.55 % (31893)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 theBenchmark for (2998ds/46Mi)
% 1.47/0.55 % (31891)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 theBenchmark for (2998ds/39Mi)
% 1.47/0.56 % (31891)First to succeed.
% 1.47/0.56 % (31893)Instruction limit reached!
% 1.47/0.56 % (31893)------------------------------
% 1.47/0.56 % (31893)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.47/0.56 % (31893)Termination reason: Unknown
% 1.47/0.56 % (31893)Termination phase: Saturation
% 1.47/0.56
% 1.47/0.56 % (31893)Memory used [KB]: 5756
% 1.47/0.56 % (31893)Time elapsed: 0.040 s
% 1.47/0.56 % (31893)Instructions burned: 48 (million)
% 1.47/0.56 % (31893)------------------------------
% 1.47/0.56 % (31893)------------------------------
% 1.47/0.56 % (31891)Refutation found. Thanks to Tanya!
% 1.47/0.56 % SZS status Theorem for theBenchmark
% 1.47/0.56 % SZS output start Proof for theBenchmark
% 1.47/0.56 thf(func_def_0, type, in: $i > $i > $o).
% 1.47/0.56 thf(func_def_1, type, exu: ($i > $o) > $o).
% 1.47/0.56 thf(func_def_20, type, ph1: !>[X0: $tType]:(X0)).
% 1.47/0.56 thf(func_def_21, type, sK2: $i > $i).
% 1.47/0.56 thf(func_def_23, type, sK4: $i > $i).
% 1.47/0.56 thf(func_def_25, type, sK6: $i > $i).
% 1.47/0.56 thf(func_def_26, type, sK7: $i > $i).
% 1.47/0.56 thf(f84,plain,(
% 1.47/0.56 $false),
% 1.47/0.56 inference(trivial_inequality_removal,[],[f83])).
% 1.47/0.56 thf(f83,plain,(
% 1.47/0.56 ($false = $true)),
% 1.47/0.56 inference(boolean_simplification,[],[f82])).
% 1.47/0.56 thf(f82,plain,(
% 1.47/0.56 ($false = ($false => $false))),
% 1.47/0.56 inference(trivial_inequality_removal,[],[f81])).
% 1.47/0.56 thf(f81,plain,(
% 1.47/0.56 ($false = ($false => $false)) | ($false = $true)),
% 1.47/0.56 inference(boolean_simplification,[],[f80])).
% 1.47/0.56 thf(f80,plain,(
% 1.47/0.56 ($false = ((sK2 @ sK5) = (sK2 @ sK5))) | ($false = ($false => $false))),
% 1.47/0.56 inference(duplicate_literal_removal,[],[f75])).
% 1.47/0.56 thf(f75,plain,(
% 1.47/0.56 ($false = ((sK2 @ sK5) = (sK2 @ sK5))) | ($false = ($false => $false)) | ($false = ((sK2 @ sK5) = (sK2 @ sK5)))),
% 1.47/0.56 inference(superposition,[],[f63,f71])).
% 1.47/0.56 thf(f71,plain,(
% 1.47/0.56 ( ! [X1 : $i] : (($false = (X1 = (sK6 @ X1))) | ($false = ((sK2 @ sK5) = X1))) )),
% 1.47/0.56 inference(binary_proxy_clausification,[],[f63])).
% 1.47/0.56 thf(f63,plain,(
% 1.47/0.56 ( ! [X1 : $i] : (($false = (((sK2 @ sK5) = (sK6 @ X1)) => (X1 = (sK6 @ X1)))) | ($false = ((sK2 @ sK5) = X1))) )),
% 1.47/0.56 inference(beta_eta_normalization,[],[f61])).
% 1.47/0.56 thf(f61,plain,(
% 1.47/0.56 ( ! [X1 : $i] : ((((^[Y0 : $i]: (((sK2 @ sK5) = Y0) => (X1 = Y0))) @ (sK6 @ X1)) = $false) | ($false = ((sK2 @ sK5) = X1))) )),
% 1.47/0.56 inference(sigma_clausification,[],[f60])).
% 1.47/0.56 thf(f60,plain,(
% 1.47/0.56 ( ! [X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: (((sK2 @ sK5) = Y0) => (X1 = Y0))))) | ($false = ((sK2 @ sK5) = X1))) )),
% 1.47/0.56 inference(binary_proxy_clausification,[],[f59])).
% 1.47/0.56 thf(f59,plain,(
% 1.47/0.56 ( ! [X1 : $i] : (($false = ((!! @ $i @ (^[Y0 : $i]: (((sK2 @ sK5) = Y0) => (X1 = Y0)))) & ((sK2 @ sK5) = X1)))) )),
% 1.47/0.56 inference(beta_eta_normalization,[],[f58])).
% 1.47/0.56 thf(f58,plain,(
% 1.47/0.56 ( ! [X1 : $i] : (($false = ((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: (((sK2 @ sK5) = Y1) => (Y0 = Y1)))) & ((sK2 @ sK5) = Y0))) @ X1))) )),
% 1.47/0.56 inference(pi_clausification,[],[f52])).
% 1.47/0.56 thf(f52,plain,(
% 1.47/0.56 ($false = (?? @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: (((sK2 @ sK5) = Y1) => (Y0 = Y1)))) & ((sK2 @ sK5) = Y0)))))),
% 1.47/0.56 inference(binary_proxy_clausification,[],[f51])).
% 1.47/0.56 thf(f51,plain,(
% 1.47/0.56 ($false = ((in @ sK5 @ sK3) => (?? @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: (((sK2 @ sK5) = Y1) => (Y0 = Y1)))) & ((sK2 @ sK5) = Y0))))))),
% 1.47/0.56 inference(beta_eta_normalization,[],[f47])).
% 1.47/0.56 thf(f47,plain,(
% 1.47/0.56 ($false = ((^[Y0 : $i]: ((in @ Y0 @ sK3) => (?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y0) = Y2) => (Y1 = Y2)))) & ((sK2 @ Y0) = Y1)))))) @ sK5))),
% 1.47/0.56 inference(sigma_clausification,[],[f44])).
% 1.47/0.56 thf(f44,plain,(
% 1.47/0.56 ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ sK3) => (?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y0) = Y2) => (Y1 = Y2)))) & ((sK2 @ Y0) = Y1))))))))),
% 1.47/0.56 inference(not_proxy_clausification,[],[f43])).
% 1.47/0.56 thf(f43,plain,(
% 1.47/0.56 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ sK3) => (?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y0) = Y2) => (Y1 = Y2)))) & ((sK2 @ Y0) = Y1)))))))))),
% 1.47/0.56 inference(boolean_simplification,[],[f42])).
% 1.47/0.56 thf(f42,plain,(
% 1.47/0.56 (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ sK3) => (?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y0) = Y2) => (Y1 = Y2)))) & ((sK2 @ Y0) = Y1))))))) => $false) = $true)),
% 1.47/0.56 inference(beta_eta_normalization,[],[f41])).
% 1.47/0.56 thf(f41,plain,(
% 1.47/0.56 (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ sK3) => (?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i]: (((^[Y5 : $i]: ((^[Y6 : $i]: (sK2 @ ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7)))) @ Y5 @ Y6))))) @ Y3 @ Y4) = ((^[Y5 : $i]: ((^[Y6 : $i]: (Y6)))) @ Y3 @ Y4))))) @ Y0 @ Y2) => (Y1 = Y2)))) & ((^[Y2 : $i]: ((^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i]: (sK2 @ ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6)))) @ Y4 @ Y5))))) @ Y2 @ Y3) = ((^[Y4 : $i]: ((^[Y5 : $i]: (Y5)))) @ Y2 @ Y3))))) @ Y0 @ Y1))))))) => $false) = $true)),
% 1.47/0.56 inference(superposition,[],[f39,f28])).
% 1.47/0.56 thf(f28,plain,(
% 1.47/0.56 ($false = (?? @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) = (?? @ $i @ (^[Y2 : $i]: (((sK2 @ Y2) = Y1) & (in @ Y2 @ sK3))))))))))),
% 1.47/0.56 inference(beta_eta_normalization,[],[f27])).
% 1.47/0.56 thf(f27,plain,(
% 1.47/0.56 ($false = ((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) = (?? @ $i @ (^[Y3 : $i]: (((sK2 @ Y3) = Y2) & (in @ Y3 @ Y0)))))))))) @ sK3))),
% 1.47/0.56 inference(sigma_clausification,[],[f26])).
% 1.47/0.56 thf(f26,plain,(
% 1.47/0.56 ($false = (!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) = (?? @ $i @ (^[Y3 : $i]: (((sK2 @ Y3) = Y2) & (in @ Y3 @ Y0))))))))))))),
% 1.47/0.56 inference(beta_eta_normalization,[],[f25])).
% 1.47/0.56 thf(f25,plain,(
% 1.47/0.56 ($false = ((^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y2) = (?? @ $i @ (^[Y4 : $i]: (((Y0 @ Y4) = Y3) & (in @ Y4 @ Y1)))))))))))) @ sK2))),
% 1.47/0.56 inference(sigma_clausification,[],[f24])).
% 1.47/0.56 thf(f24,plain,(
% 1.47/0.56 ($false = (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y2) = (?? @ $i @ (^[Y4 : $i]: (((Y0 @ Y4) = Y3) & (in @ Y4 @ Y1))))))))))))))),
% 1.47/0.56 inference(boolean_simplification,[],[f23])).
% 1.47/0.56 thf(f23,plain,(
% 1.47/0.56 ($false = ($true => (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y2) = (?? @ $i @ (^[Y4 : $i]: (((Y0 @ Y4) = Y3) & (in @ Y4 @ Y1)))))))))))))))),
% 1.47/0.56 inference(backward_demodulation,[],[f18,f22])).
% 1.47/0.56 thf(f22,plain,(
% 1.47/0.56 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (?? @ $i @ (^[Y3 : $i]: ((!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y2 @ Y4) => (Y3 = Y4)))) & (Y1 @ Y2 @ Y3))))))) => (?? @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y2) = (?? @ $i @ (^[Y4 : $i]: ((Y1 @ Y4 @ Y3) & (in @ Y4 @ Y0)))))))))))))))),
% 1.47/0.56 inference(binary_proxy_clausification,[],[f18])).
% 1.47/0.56 thf(f18,plain,(
% 1.47/0.56 ($false = ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (?? @ $i @ (^[Y3 : $i]: ((!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y2 @ Y4) => (Y3 = Y4)))) & (Y1 @ Y2 @ Y3))))))) => (?? @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y2) = (?? @ $i @ (^[Y4 : $i]: ((Y1 @ Y4 @ Y3) & (in @ Y4 @ Y0)))))))))))))) => (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y2) = (?? @ $i @ (^[Y4 : $i]: (((Y0 @ Y4) = Y3) & (in @ Y4 @ Y1)))))))))))))))),
% 1.47/0.56 inference(not_proxy_clausification,[],[f17])).
% 1.47/0.56 thf(f17,plain,(
% 1.47/0.56 ($true = (~ ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (?? @ $i @ (^[Y3 : $i]: ((!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y2 @ Y4) => (Y3 = Y4)))) & (Y1 @ Y2 @ Y3))))))) => (?? @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y2) = (?? @ $i @ (^[Y4 : $i]: ((Y1 @ Y4 @ Y3) & (in @ Y4 @ Y0)))))))))))))) => (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y2) = (?? @ $i @ (^[Y4 : $i]: (((Y0 @ Y4) = Y3) & (in @ Y4 @ Y1))))))))))))))))),
% 1.47/0.56 inference(beta_eta_normalization,[],[f16])).
% 1.47/0.56 thf(f16,plain,(
% 1.47/0.56 ($true = (~ ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => ((^[Y3 : $i > $o]: (?? @ $i @ (^[Y4 : $i]: ((!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) => (Y4 = Y5)))) & (Y3 @ Y4))))) @ (^[Y3 : $i]: (Y1 @ Y2 @ Y3)))))) => (?? @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y2) = (?? @ $i @ (^[Y4 : $i]: ((Y1 @ Y4 @ Y3) & (in @ Y4 @ Y0)))))))))))))) => (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y2) = (?? @ $i @ (^[Y4 : $i]: (((Y0 @ Y4) = Y3) & (in @ Y4 @ Y1))))))))))))))))),
% 1.47/0.56 inference(definition_unfolding,[],[f13,f15])).
% 1.47/0.56 thf(f15,plain,(
% 1.47/0.56 (replAx = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => ((^[Y3 : $i > $o]: (?? @ $i @ (^[Y4 : $i]: ((!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) => (Y4 = Y5)))) & (Y3 @ Y4))))) @ (^[Y3 : $i]: (Y1 @ Y2 @ Y3)))))) => (?? @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y2) = (?? @ $i @ (^[Y4 : $i]: ((Y1 @ Y4 @ Y3) & (in @ Y4 @ Y0)))))))))))))))),
% 1.47/0.56 inference(definition_unfolding,[],[f12,f14])).
% 1.47/0.56 thf(f14,plain,(
% 1.47/0.56 (exu = (^[Y0 : $i > $o]: (?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 = Y2)))) & (Y0 @ Y1))))))),
% 1.47/0.56 inference(cnf_transformation,[],[f11])).
% 1.47/0.56 thf(f11,plain,(
% 1.47/0.56 (exu = (^[Y0 : $i > $o]: (?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 = Y2)))) & (Y0 @ Y1))))))),
% 1.47/0.56 inference(fool_elimination,[],[f10])).
% 1.47/0.56 thf(f10,plain,(
% 1.47/0.56 ((^[X0 : $i > $o] : (? [X1] : ((X0 @ X1) & ! [X2] : ((X0 @ X2) => (X1 = X2))))) = exu)),
% 1.47/0.56 inference(rectify,[],[f1])).
% 1.47/0.56 thf(f1,axiom,(
% 1.47/0.56 ((^[X0 : $i > $o] : (? [X1] : ((X0 @ X1) & ! [X2] : ((X0 @ X2) => (X1 = X2))))) = exu)),
% 1.47/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exu)).
% 1.47/0.56 thf(f12,plain,(
% 1.47/0.56 (replAx = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (exu @ (^[Y3 : $i]: (Y1 @ Y2 @ Y3)))))) => (?? @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y2) = (?? @ $i @ (^[Y4 : $i]: ((Y1 @ Y4 @ Y3) & (in @ Y4 @ Y0)))))))))))))))),
% 1.47/0.57 inference(cnf_transformation,[],[f9])).
% 1.47/0.57 thf(f9,plain,(
% 1.47/0.57 (replAx = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (exu @ (^[Y3 : $i]: (Y1 @ Y2 @ Y3)))))) => (?? @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y2) = (?? @ $i @ (^[Y4 : $i]: ((Y1 @ Y4 @ Y3) & (in @ Y4 @ Y0)))))))))))))))),
% 1.47/0.57 inference(fool_elimination,[],[f8])).
% 1.47/0.57 thf(f8,plain,(
% 1.47/0.57 (replAx = ! [X0 : $i > $i > $o,X1] : (! [X2] : ((in @ X2 @ X1) => (exu @ (^[X3 : $i] : (X0 @ X2 @ X3)))) => ? [X4] : ! [X5] : ((in @ X5 @ X4) <=> ? [X6] : ((in @ X6 @ X1) & (X0 @ X6 @ X5)))))),
% 1.47/0.57 inference(rectify,[],[f2])).
% 1.47/0.57 thf(f2,axiom,(
% 1.47/0.57 (replAx = ! [X0 : $i > $i > $o,X3] : (! [X1] : ((in @ X1 @ X3) => (exu @ (^[X2 : $i] : (X0 @ X1 @ X2)))) => ? [X4] : ! [X1] : ((in @ X1 @ X4) <=> ? [X2] : ((in @ X2 @ X3) & (X0 @ X2 @ X1)))))),
% 1.47/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',replAx)).
% 1.47/0.57 thf(f13,plain,(
% 1.47/0.57 ($true = (~ (replAx => (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y2) = (?? @ $i @ (^[Y4 : $i]: (((Y0 @ Y4) = Y3) & (in @ Y4 @ Y1))))))))))))))))),
% 1.47/0.57 inference(cnf_transformation,[],[f7])).
% 1.47/0.57 thf(f7,plain,(
% 1.47/0.57 ($true = (~ (replAx => (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y2) = (?? @ $i @ (^[Y4 : $i]: (((Y0 @ Y4) = Y3) & (in @ Y4 @ Y1))))))))))))))))),
% 1.47/0.57 inference(fool_elimination,[],[f6])).
% 1.47/0.57 thf(f6,plain,(
% 1.47/0.57 ~(replAx => ! [X0,X1 : $i > $i] : ? [X2] : ! [X3] : ((in @ X3 @ X2) <=> ? [X4] : ((in @ X4 @ X0) & ((X1 @ X4) = X3))))),
% 1.47/0.57 inference(rectify,[],[f4])).
% 1.47/0.57 thf(f4,negated_conjecture,(
% 1.47/0.57 ~(replAx => ! [X3,X5 : $i > $i] : ? [X4] : ! [X1] : ((in @ X1 @ X4) <=> ? [X2] : ((in @ X2 @ X3) & ((X5 @ X2) = X1))))),
% 1.47/0.57 inference(negated_conjecture,[],[f3])).
% 1.47/0.57 thf(f3,conjecture,(
% 1.47/0.57 replAx => ! [X3,X5 : $i > $i] : ? [X4] : ! [X1] : ((in @ X1 @ X4) <=> ? [X2] : ((in @ X2 @ X3) & ((X5 @ X2) = X1)))),
% 1.47/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image1Ex)).
% 1.47/0.57 thf(f39,plain,(
% 1.47/0.57 ( ! [X2 : $i > $i > $o,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X1) => (?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((X2 @ Y0 @ Y2) => (Y1 = Y2)))) & (X2 @ Y0 @ Y1))))))) => (?? @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) = (?? @ $i @ (^[Y2 : $i]: ((X2 @ Y2 @ Y1) & (in @ Y2 @ X1)))))))))) = $true)) )),
% 1.47/0.57 inference(beta_eta_normalization,[],[f38])).
% 1.47/0.57 thf(f38,plain,(
% 1.47/0.57 ( ! [X2 : $i > $i > $o,X1 : $i] : ((((^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X1) => (?? @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y1 @ Y3) => (Y2 = Y3)))) & (Y0 @ Y1 @ Y2))))))) => (?? @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) = (?? @ $i @ (^[Y3 : $i]: ((Y0 @ Y3 @ Y2) & (in @ Y3 @ X1))))))))))) @ X2) = $true)) )),
% 1.47/0.57 inference(pi_clausification,[],[f37])).
% 1.47/0.57 thf(f37,plain,(
% 1.47/0.57 ( ! [X1 : $i] : (($true = (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X1) => (?? @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y1 @ Y3) => (Y2 = Y3)))) & (Y0 @ Y1 @ Y2))))))) => (?? @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) = (?? @ $i @ (^[Y3 : $i]: ((Y0 @ Y3 @ Y2) & (in @ Y3 @ X1)))))))))))))) )),
% 1.47/0.57 inference(beta_eta_normalization,[],[f36])).
% 1.47/0.57 thf(f36,plain,(
% 1.47/0.57 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (?? @ $i @ (^[Y3 : $i]: ((!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y2 @ Y4) => (Y3 = Y4)))) & (Y1 @ Y2 @ Y3))))))) => (?? @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y2) = (?? @ $i @ (^[Y4 : $i]: ((Y1 @ Y4 @ Y3) & (in @ Y4 @ Y0))))))))))))) @ X1))) )),
% 1.47/0.57 inference(pi_clausification,[],[f22])).
% 1.47/0.57 % SZS output end Proof for theBenchmark
% 1.47/0.57 % (31891)------------------------------
% 1.47/0.57 % (31891)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.47/0.57 % (31891)Termination reason: Refutation
% 1.47/0.57
% 1.47/0.57 % (31891)Memory used [KB]: 5756
% 1.47/0.57 % (31891)Time elapsed: 0.042 s
% 1.47/0.57 % (31891)Instructions burned: 26 (million)
% 1.47/0.57 % (31891)------------------------------
% 1.47/0.57 % (31891)------------------------------
% 1.47/0.57 % (31851)Success in time 0.193 s
% 1.47/0.57 % Vampire---4.8 exiting
%------------------------------------------------------------------------------