TSTP Solution File: QUA012^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : QUA012^1 : TPTP v8.2.0. Released v4.1.0.
% 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 : n014.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 02:30:34 EDT 2024
% Result : Theorem 1.71s 0.55s
% Output : Refutation 1.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : QUA012^1 : TPTP v8.2.0. Released v4.1.0.
% 0.05/0.11 % 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
% 0.10/0.31 % Computer : n014.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon May 20 13:38:08 EDT 2024
% 0.15/0.31 % CPUTime :
% 0.15/0.31 This is a TH0_THM_EQU_NAR problem
% 0.15/0.31 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
% 0.15/0.33 % (31844)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.33 % (31843)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)
% 0.15/0.33 % (31842)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)
% 0.15/0.33 % (31844)Instruction limit reached!
% 0.15/0.33 % (31844)------------------------------
% 0.15/0.33 % (31844)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (31844)Termination reason: Unknown
% 0.15/0.33 % (31844)Termination phase: Property scanning
% 0.15/0.33
% 0.15/0.33 % (31844)Memory used [KB]: 895
% 0.15/0.33 % (31844)Time elapsed: 0.003 s
% 0.15/0.33 % (31844)Instructions burned: 2 (million)
% 0.15/0.33 % (31844)------------------------------
% 0.15/0.33 % (31844)------------------------------
% 0.15/0.33 % (31847)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.33 % (31842)Instruction limit reached!
% 0.15/0.33 % (31842)------------------------------
% 0.15/0.33 % (31842)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (31842)Termination reason: Unknown
% 0.15/0.33 % (31842)Termination phase: Saturation
% 0.15/0.33
% 0.15/0.33 % (31842)Memory used [KB]: 5500
% 0.15/0.33 % (31842)Time elapsed: 0.004 s
% 0.15/0.33 % (31842)Instructions burned: 5 (million)
% 0.15/0.33 % (31842)------------------------------
% 0.15/0.33 % (31842)------------------------------
% 0.15/0.33 % (31843)Refutation not found, incomplete strategy
% 0.15/0.33 % (31843)------------------------------
% 0.15/0.33 % (31843)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.34 % (31843)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.34
% 0.15/0.34
% 0.15/0.34 % (31843)Memory used [KB]: 5500
% 0.15/0.34 % (31843)Time elapsed: 0.005 s
% 0.15/0.34 % (31843)Instructions burned: 7 (million)
% 0.15/0.34 % (31843)------------------------------
% 0.15/0.34 % (31843)------------------------------
% 0.15/0.34 % (31841)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.34 % (31846)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)
% 0.15/0.34 % (31846)Refutation not found, incomplete strategy
% 0.15/0.34 % (31846)------------------------------
% 0.15/0.34 % (31846)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.34 % (31846)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.34
% 0.15/0.34
% 0.15/0.34 % (31846)Memory used [KB]: 5500
% 0.15/0.34 % (31846)Time elapsed: 0.002 s
% 0.15/0.34 % (31846)Instructions burned: 2 (million)
% 0.15/0.34 % (31846)------------------------------
% 0.15/0.34 % (31846)------------------------------
% 0.15/0.34 % (31847)Instruction limit reached!
% 0.15/0.34 % (31847)------------------------------
% 0.15/0.34 % (31847)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.34 % (31847)Termination reason: Unknown
% 0.15/0.34 % (31847)Termination phase: Saturation
% 0.15/0.34
% 0.15/0.34 % (31847)Memory used [KB]: 5628
% 0.15/0.34 % (31847)Time elapsed: 0.012 s
% 0.15/0.34 % (31847)Instructions burned: 18 (million)
% 0.15/0.34 % (31847)------------------------------
% 0.15/0.34 % (31847)------------------------------
% 0.15/0.34 % (31848)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)
% 0.15/0.34 % (31845)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)
% 0.15/0.34 % (31845)Instruction limit reached!
% 0.15/0.34 % (31845)------------------------------
% 0.15/0.34 % (31845)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.34 % (31845)Termination reason: Unknown
% 0.15/0.34 % (31845)Termination phase: shuffling
% 0.15/0.34
% 0.15/0.34 % (31845)Memory used [KB]: 1023
% 0.15/0.34 % (31845)Time elapsed: 0.003 s
% 0.15/0.34 % (31845)Instructions burned: 2 (million)
% 0.15/0.34 % (31845)------------------------------
% 0.15/0.34 % (31845)------------------------------
% 0.15/0.35 % (31850)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)
% 0.15/0.35 % (31848)Instruction limit reached!
% 0.15/0.35 % (31848)------------------------------
% 0.15/0.35 % (31848)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.35 % (31848)Termination reason: Unknown
% 0.15/0.35 % (31848)Termination phase: Saturation
% 0.15/0.35
% 0.15/0.35 % (31848)Memory used [KB]: 1023
% 0.15/0.35 % (31848)Time elapsed: 0.004 s
% 0.15/0.35 % (31848)Instructions burned: 4 (million)
% 0.15/0.35 % (31848)------------------------------
% 0.15/0.35 % (31848)------------------------------
% 0.15/0.35 % (31851)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)
% 0.15/0.35 % (31852)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)
% 0.15/0.35 % (31851)Refutation not found, incomplete strategy
% 0.15/0.35 % (31851)------------------------------
% 0.15/0.35 % (31851)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.35 % (31851)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.35
% 0.15/0.35
% 0.15/0.35 % (31851)Memory used [KB]: 5500
% 0.15/0.35 % (31851)Time elapsed: 0.004 s
% 0.15/0.35 % (31851)Instructions burned: 4 (million)
% 0.15/0.35 % (31851)------------------------------
% 0.15/0.35 % (31851)------------------------------
% 0.15/0.35 % (31852)Instruction limit reached!
% 0.15/0.35 % (31852)------------------------------
% 0.15/0.35 % (31852)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.35 % (31852)Termination reason: Unknown
% 0.15/0.35 % (31852)Termination phase: Saturation
% 0.15/0.35
% 0.15/0.35 % (31852)Memory used [KB]: 5500
% 0.15/0.35 % (31852)Time elapsed: 0.004 s
% 0.15/0.35 % (31852)Instructions burned: 4 (million)
% 0.15/0.35 % (31852)------------------------------
% 0.15/0.35 % (31852)------------------------------
% 0.15/0.35 % (31853)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)
% 0.15/0.36 % (31854)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.36 % (31856)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)
% 0.15/0.36 % (31854)Instruction limit reached!
% 0.15/0.36 % (31854)------------------------------
% 0.15/0.36 % (31854)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.36 % (31854)Termination reason: Unknown
% 0.15/0.36 % (31854)Termination phase: Saturation
% 0.15/0.36
% 0.15/0.36 % (31854)Memory used [KB]: 1023
% 0.15/0.36 % (31854)Time elapsed: 0.006 s
% 0.15/0.36 % (31854)Instructions burned: 8 (million)
% 0.15/0.36 % (31854)------------------------------
% 0.15/0.36 % (31854)------------------------------
% 0.15/0.36 % (31856)Instruction limit reached!
% 0.15/0.36 % (31856)------------------------------
% 0.15/0.36 % (31856)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.36 % (31856)Termination reason: Unknown
% 0.15/0.36 % (31856)Termination phase: Saturation
% 0.15/0.36
% 0.15/0.36 % (31856)Memory used [KB]: 1023
% 0.15/0.36 % (31856)Time elapsed: 0.003 s
% 0.15/0.36 % (31856)Instructions burned: 3 (million)
% 0.15/0.36 % (31856)------------------------------
% 0.15/0.36 % (31856)------------------------------
% 0.15/0.36 % (31855)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.15/0.36 % (31859)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)
% 0.15/0.37 % (31859)Refutation not found, incomplete strategy
% 0.15/0.37 % (31859)------------------------------
% 0.15/0.37 % (31859)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (31859)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.37
% 0.15/0.37
% 0.15/0.37 % (31859)Memory used [KB]: 5500
% 0.15/0.37 % (31859)Time elapsed: 0.004 s
% 0.15/0.37 % (31859)Instructions burned: 5 (million)
% 0.15/0.37 % (31859)------------------------------
% 0.15/0.37 % (31859)------------------------------
% 0.15/0.37 % (31850)Instruction limit reached!
% 0.15/0.37 % (31850)------------------------------
% 0.15/0.37 % (31850)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (31850)Termination reason: Unknown
% 0.15/0.37 % (31850)Termination phase: Saturation
% 0.15/0.37
% 0.15/0.37 % (31850)Memory used [KB]: 5756
% 0.15/0.37 % (31850)Time elapsed: 0.018 s
% 0.15/0.37 % (31850)Instructions burned: 38 (million)
% 0.15/0.37 % (31850)------------------------------
% 0.15/0.37 % (31850)------------------------------
% 0.15/0.37 % (31855)Instruction limit reached!
% 0.15/0.37 % (31855)------------------------------
% 0.15/0.37 % (31855)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (31855)Termination reason: Unknown
% 0.15/0.37 % (31855)Termination phase: Saturation
% 0.15/0.37
% 0.15/0.37 % (31855)Memory used [KB]: 5628
% 0.15/0.37 % (31855)Time elapsed: 0.011 s
% 0.15/0.37 % (31855)Instructions burned: 17 (million)
% 0.15/0.37 % (31855)------------------------------
% 0.15/0.37 % (31855)------------------------------
% 0.15/0.37 % (31858)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)
% 0.15/0.37 % (31858)Instruction limit reached!
% 0.15/0.37 % (31858)------------------------------
% 0.15/0.37 % (31858)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (31858)Termination reason: Unknown
% 0.15/0.37 % (31858)Termination phase: shuffling
% 0.15/0.37
% 0.15/0.37 % (31858)Memory used [KB]: 1023
% 0.15/0.37 % (31858)Time elapsed: 0.003 s
% 0.15/0.37 % (31858)Instructions burned: 4 (million)
% 0.15/0.37 % (31858)------------------------------
% 0.15/0.37 % (31858)------------------------------
% 0.15/0.37 % (31860)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)
% 0.15/0.38 % (31860)Instruction limit reached!
% 0.15/0.38 % (31860)------------------------------
% 0.15/0.38 % (31860)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (31860)Termination reason: Unknown
% 0.15/0.38 % (31860)Termination phase: Property scanning
% 0.15/0.38
% 0.15/0.38 % (31860)Memory used [KB]: 1023
% 0.15/0.38 % (31860)Time elapsed: 0.003 s
% 0.15/0.38 % (31860)Instructions burned: 4 (million)
% 0.15/0.38 % (31860)------------------------------
% 0.15/0.38 % (31860)------------------------------
% 0.15/0.38 % (31861)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.15/0.38 % (31861)Instruction limit reached!
% 0.15/0.38 % (31861)------------------------------
% 0.15/0.38 % (31861)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (31861)Termination reason: Unknown
% 0.15/0.38 % (31861)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (31861)Memory used [KB]: 5500
% 0.15/0.38 % (31861)Time elapsed: 0.004 s
% 0.15/0.38 % (31861)Instructions burned: 4 (million)
% 0.15/0.38 % (31861)------------------------------
% 0.15/0.38 % (31861)------------------------------
% 0.15/0.38 % (31863)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)
% 0.15/0.38 % (31865)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.15/0.39 % (31866)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.15/0.39 % (31867)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)
% 0.15/0.39 % (31866)Instruction limit reached!
% 0.15/0.39 % (31866)------------------------------
% 0.15/0.39 % (31866)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (31866)Termination reason: Unknown
% 0.15/0.39 % (31866)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (31866)Memory used [KB]: 5500
% 0.15/0.39 % (31866)Time elapsed: 0.005 s
% 0.15/0.39 % (31866)Instructions burned: 6 (million)
% 0.15/0.39 % (31866)------------------------------
% 0.15/0.39 % (31866)------------------------------
% 0.15/0.39 % (31863)Instruction limit reached!
% 0.15/0.39 % (31863)------------------------------
% 0.15/0.39 % (31863)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (31863)Termination reason: Unknown
% 0.15/0.39 % (31863)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (31863)Memory used [KB]: 5628
% 0.15/0.39 % (31863)Time elapsed: 0.012 s
% 0.15/0.39 % (31863)Instructions burned: 18 (million)
% 0.15/0.39 % (31863)------------------------------
% 0.15/0.39 % (31863)------------------------------
% 0.15/0.39 % (31867)Refutation not found, incomplete strategy
% 0.15/0.39 % (31867)------------------------------
% 0.15/0.39 % (31867)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (31867)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.39
% 0.15/0.39
% 0.15/0.39 % (31867)Memory used [KB]: 5500
% 0.15/0.39 % (31867)Time elapsed: 0.003 s
% 0.15/0.39 % (31867)Instructions burned: 3 (million)
% 0.15/0.39 % (31867)------------------------------
% 0.15/0.39 % (31867)------------------------------
% 0.15/0.39 % (31868)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)
% 0.15/0.40 % (31869)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.15/0.40 % (31870)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)
% 0.15/0.40 % (31869)Instruction limit reached!
% 0.15/0.40 % (31869)------------------------------
% 0.15/0.40 % (31869)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (31869)Termination reason: Unknown
% 0.15/0.40 % (31869)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (31869)Memory used [KB]: 5500
% 0.15/0.40 % (31869)Time elapsed: 0.004 s
% 0.15/0.40 % (31869)Instructions burned: 5 (million)
% 0.15/0.40 % (31869)------------------------------
% 0.15/0.40 % (31869)------------------------------
% 0.15/0.40 % (31868)Instruction limit reached!
% 0.15/0.40 % (31868)------------------------------
% 0.15/0.40 % (31868)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (31868)Termination reason: Unknown
% 0.15/0.40 % (31868)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (31868)Memory used [KB]: 5628
% 0.15/0.40 % (31868)Time elapsed: 0.014 s
% 0.15/0.40 % (31868)Instructions burned: 21 (million)
% 0.15/0.40 % (31868)------------------------------
% 0.15/0.40 % (31868)------------------------------
% 0.15/0.40 % (31871)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.15/0.40 % (31870)Refutation not found, incomplete strategy
% 0.15/0.40 % (31870)------------------------------
% 0.15/0.40 % (31870)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (31870)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.40
% 0.15/0.40
% 0.15/0.40 % (31870)Memory used [KB]: 5500
% 0.15/0.40 % (31870)Time elapsed: 0.004 s
% 0.15/0.40 % (31870)Instructions burned: 4 (million)
% 0.15/0.40 % (31870)------------------------------
% 0.15/0.40 % (31870)------------------------------
% 0.15/0.41 % (31871)Refutation not found, incomplete strategy
% 0.15/0.41 % (31871)------------------------------
% 0.15/0.41 % (31871)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (31871)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.41
% 0.15/0.41
% 0.15/0.41 % (31871)Memory used [KB]: 5500
% 0.15/0.41 % (31871)Time elapsed: 0.005 s
% 0.15/0.41 % (31871)Instructions burned: 7 (million)
% 0.15/0.41 % (31871)------------------------------
% 0.15/0.41 % (31871)------------------------------
% 0.15/0.42 % (31873)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)
% 0.15/0.42 % (31874)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)
% 0.15/0.42 % (31875)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)
% 0.15/0.42 % (31874)Refutation not found, incomplete strategy
% 0.15/0.42 % (31874)------------------------------
% 0.15/0.42 % (31874)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (31874)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.42
% 0.15/0.42
% 0.15/0.42 % (31874)Memory used [KB]: 5500
% 0.15/0.42 % (31874)Time elapsed: 0.003 s
% 0.15/0.42 % (31874)Instructions burned: 4 (million)
% 0.15/0.42 % (31874)------------------------------
% 0.15/0.42 % (31874)------------------------------
% 0.15/0.42 % (31876)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.15/0.42 % (31875)Refutation not found, incomplete strategy
% 0.15/0.42 % (31875)------------------------------
% 0.15/0.42 % (31875)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (31875)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.42
% 0.15/0.42
% 0.15/0.42 % (31875)Memory used [KB]: 5500
% 0.15/0.42 % (31875)Time elapsed: 0.006 s
% 0.15/0.42 % (31875)Instructions burned: 6 (million)
% 0.15/0.42 % (31875)------------------------------
% 0.15/0.42 % (31875)------------------------------
% 0.15/0.43 % (31841)Instruction limit reached!
% 0.15/0.43 % (31841)------------------------------
% 0.15/0.43 % (31841)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.43 % (31841)Termination reason: Unknown
% 0.15/0.43 % (31841)Termination phase: Saturation
% 0.15/0.43
% 0.15/0.43 % (31841)Memory used [KB]: 6396
% 0.15/0.43 % (31841)Time elapsed: 0.093 s
% 0.15/0.43 % (31841)Instructions burned: 184 (million)
% 0.15/0.43 % (31841)------------------------------
% 0.15/0.43 % (31841)------------------------------
% 0.15/0.43 % (31876)Instruction limit reached!
% 0.15/0.43 % (31876)------------------------------
% 0.15/0.43 % (31876)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.43 % (31876)Termination reason: Unknown
% 0.15/0.43 % (31876)Termination phase: Saturation
% 0.15/0.43
% 0.15/0.43 % (31876)Memory used [KB]: 5628
% 0.15/0.43 % (31876)Time elapsed: 0.033 s
% 0.15/0.43 % (31876)Instructions burned: 18 (million)
% 0.15/0.43 % (31876)------------------------------
% 0.15/0.43 % (31876)------------------------------
% 0.15/0.43 % (31877)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.43 % (31877)Instruction limit reached!
% 0.15/0.43 % (31877)------------------------------
% 0.15/0.43 % (31877)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.43 % (31877)Termination reason: Unknown
% 0.15/0.43 % (31877)Termination phase: Preprocessing 2
% 0.15/0.43
% 0.15/0.43 % (31877)Memory used [KB]: 1023
% 0.15/0.43 % (31877)Time elapsed: 0.003 s
% 0.15/0.43 % (31877)Instructions burned: 3 (million)
% 0.15/0.43 % (31877)------------------------------
% 0.15/0.43 % (31877)------------------------------
% 0.15/0.43 % (31878)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.15/0.44 % (31879)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 (2999ds/127Mi)
% 0.15/0.44 % (31880)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)
% 0.15/0.45 % (31881)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)
% 0.15/0.45 % (31881)Instruction limit reached!
% 0.15/0.45 % (31881)------------------------------
% 0.15/0.45 % (31881)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.45 % (31881)Termination reason: Unknown
% 0.15/0.45 % (31881)Termination phase: Saturation
% 0.15/0.45
% 0.15/0.45 % (31881)Memory used [KB]: 1023
% 0.15/0.45 % (31881)Time elapsed: 0.004 s
% 0.15/0.45 % (31881)Instructions burned: 5 (million)
% 0.15/0.45 % (31881)------------------------------
% 0.15/0.45 % (31881)------------------------------
% 0.15/0.45 % (31878)Instruction limit reached!
% 0.15/0.45 % (31878)------------------------------
% 0.15/0.45 % (31878)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.45 % (31878)Termination reason: Unknown
% 0.15/0.45 % (31878)Termination phase: Saturation
% 0.15/0.45
% 0.15/0.45 % (31878)Memory used [KB]: 5756
% 0.15/0.45 % (31878)Time elapsed: 0.042 s
% 0.15/0.45 % (31878)Instructions burned: 31 (million)
% 0.15/0.45 % (31878)------------------------------
% 0.15/0.45 % (31878)------------------------------
% 0.15/0.45 % (31880)Refutation not found, incomplete strategy
% 0.15/0.45 % (31880)------------------------------
% 0.15/0.45 % (31880)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.45 % (31880)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.45
% 0.15/0.45
% 0.15/0.45 % (31880)Memory used [KB]: 5500
% 0.15/0.45 % (31880)Time elapsed: 0.007 s
% 0.15/0.45 % (31880)Instructions burned: 11 (million)
% 0.15/0.45 % (31880)------------------------------
% 0.15/0.45 % (31880)------------------------------
% 0.15/0.46 % (31882)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)
% 0.15/0.46 % (31882)Refutation not found, incomplete strategy
% 0.15/0.46 % (31882)------------------------------
% 0.15/0.46 % (31882)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.46 % (31882)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.46
% 0.15/0.46
% 0.15/0.46 % (31882)Memory used [KB]: 5500
% 0.15/0.46 % (31882)Time elapsed: 0.004 s
% 0.15/0.46 % (31882)Instructions burned: 3 (million)
% 0.15/0.46 % (31882)------------------------------
% 0.15/0.46 % (31882)------------------------------
% 0.15/0.46 % (31883)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)
% 0.15/0.46 % (31885)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)
% 0.15/0.48 % (31886)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)
% 0.15/0.48 % (31886)Refutation not found, incomplete strategy
% 0.15/0.48 % (31886)------------------------------
% 0.15/0.48 % (31886)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.48 % (31886)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.48
% 0.15/0.48
% 0.15/0.48 % (31886)Memory used [KB]: 5500
% 0.15/0.48 % (31886)Time elapsed: 0.004 s
% 0.15/0.48 % (31886)Instructions burned: 4 (million)
% 0.15/0.48 % (31886)------------------------------
% 0.15/0.48 % (31886)------------------------------
% 0.15/0.48 % (31884)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)
% 0.15/0.48 % (31885)Instruction limit reached!
% 0.15/0.48 % (31885)------------------------------
% 0.15/0.48 % (31885)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.48 % (31885)Termination reason: Unknown
% 0.15/0.48 % (31885)Termination phase: Saturation
% 0.15/0.48
% 0.15/0.48 % (31885)Memory used [KB]: 5628
% 0.15/0.48 % (31885)Time elapsed: 0.020 s
% 0.15/0.48 % (31885)Instructions burned: 39 (million)
% 0.15/0.48 % (31885)------------------------------
% 0.15/0.48 % (31885)------------------------------
% 0.15/0.49 % (31884)Refutation not found, incomplete strategy
% 0.15/0.49 % (31884)------------------------------
% 0.15/0.49 % (31884)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.49 % (31884)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.49
% 0.15/0.49
% 0.15/0.49 % (31884)Memory used [KB]: 5500
% 0.15/0.49 % (31884)Time elapsed: 0.006 s
% 0.15/0.49 % (31884)Instructions burned: 7 (million)
% 0.15/0.49 % (31884)------------------------------
% 0.15/0.49 % (31884)------------------------------
% 0.15/0.49 % (31887)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)
% 0.15/0.50 % (31888)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2998ds/98Mi)
% 0.15/0.50 % (31889)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2998ds/507Mi)
% 0.15/0.50 % (31883)Instruction limit reached!
% 0.15/0.50 % (31883)------------------------------
% 0.15/0.50 % (31883)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.50 % (31883)Termination reason: Unknown
% 0.15/0.50 % (31883)Termination phase: Saturation
% 0.15/0.50
% 0.15/0.50 % (31883)Memory used [KB]: 5884
% 0.15/0.50 % (31883)Time elapsed: 0.044 s
% 0.15/0.50 % (31883)Instructions burned: 87 (million)
% 0.15/0.50 % (31883)------------------------------
% 0.15/0.50 % (31883)------------------------------
% 0.15/0.51 % (31888)Refutation not found, incomplete strategy
% 0.15/0.51 % (31888)------------------------------
% 0.15/0.51 % (31888)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.51 % (31888)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.51
% 0.15/0.51
% 0.15/0.51 % (31888)Memory used [KB]: 1151
% 0.15/0.51 % (31888)Time elapsed: 0.009 s
% 0.15/0.51 % (31888)Instructions burned: 14 (million)
% 0.15/0.51 % (31888)------------------------------
% 0.15/0.51 % (31888)------------------------------
% 0.15/0.51 % (31889)Refutation not found, incomplete strategy
% 0.15/0.51 % (31889)------------------------------
% 0.15/0.51 % (31889)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.51 % (31889)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.51
% 0.15/0.51
% 0.15/0.51 % (31889)Memory used [KB]: 5500
% 0.15/0.51 % (31889)Time elapsed: 0.005 s
% 0.15/0.51 % (31879)Instruction limit reached!
% 0.15/0.51 % (31879)------------------------------
% 0.15/0.51 % (31879)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.51 % (31879)Termination reason: Unknown
% 0.15/0.51 % (31879)Termination phase: Saturation
% 0.15/0.51
% 0.15/0.51 % (31879)Memory used [KB]: 5884
% 0.15/0.51 % (31879)Time elapsed: 0.090 s
% 0.15/0.51 % (31879)Instructions burned: 127 (million)
% 0.15/0.51 % (31879)------------------------------
% 0.15/0.51 % (31879)------------------------------
% 0.15/0.51 % (31889)Instructions burned: 6 (million)
% 0.15/0.51 % (31889)------------------------------
% 0.15/0.51 % (31889)------------------------------
% 0.15/0.52 % (31887)Instruction limit reached!
% 0.15/0.52 % (31887)------------------------------
% 0.15/0.52 % (31887)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.52 % (31887)Termination reason: Unknown
% 0.15/0.52 % (31887)Termination phase: Saturation
% 0.15/0.52
% 0.15/0.52 % (31887)Memory used [KB]: 5756
% 0.15/0.52 % (31887)Time elapsed: 0.026 s
% 0.15/0.52 % (31887)Instructions burned: 47 (million)
% 0.15/0.52 % (31887)------------------------------
% 0.15/0.52 % (31887)------------------------------
% 0.15/0.52 % (31890)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2998ds/149Mi)
% 0.15/0.52 % (31891)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 0.15/0.52 % (31893)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2998ds/1087Mi)
% 0.15/0.52 % (31891)Refutation not found, incomplete strategy
% 0.15/0.52 % (31891)------------------------------
% 0.15/0.52 % (31891)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.52 % (31891)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.52
% 0.15/0.52
% 0.15/0.52 % (31891)Memory used [KB]: 5500
% 0.15/0.52 % (31891)Time elapsed: 0.005 s
% 0.15/0.52 % (31891)Instructions burned: 6 (million)
% 0.15/0.52 % (31891)------------------------------
% 0.15/0.52 % (31891)------------------------------
% 0.15/0.52 % (31893)Refutation not found, incomplete strategy
% 0.15/0.52 % (31893)------------------------------
% 0.15/0.52 % (31893)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.52 % (31893)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.52
% 0.15/0.52
% 0.15/0.52 % (31893)Memory used [KB]: 5500
% 0.15/0.52 % (31893)Time elapsed: 0.004 s
% 0.15/0.52 % (31893)Instructions burned: 3 (million)
% 0.15/0.52 % (31893)------------------------------
% 0.15/0.52 % (31893)------------------------------
% 0.15/0.53 % (31894)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2998ds/47Mi)
% 1.58/0.54 % (31895)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2997ds/44Mi)
% 1.58/0.54 % (31892)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 1.58/0.54 % (31895)Refutation not found, incomplete strategy
% 1.58/0.54 % (31895)------------------------------
% 1.58/0.54 % (31895)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.58/0.54 % (31895)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.54
% 1.58/0.54
% 1.58/0.54 % (31895)Memory used [KB]: 1023
% 1.58/0.54 % (31895)Time elapsed: 0.003 s
% 1.58/0.54 % (31895)Instructions burned: 3 (million)
% 1.58/0.54 % (31896)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2997ds/432Mi)
% 1.58/0.54 % (31895)------------------------------
% 1.58/0.54 % (31895)------------------------------
% 1.58/0.54 % (31892)Instruction limit reached!
% 1.58/0.54 % (31892)------------------------------
% 1.58/0.54 % (31892)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.58/0.54 % (31892)Termination reason: Unknown
% 1.58/0.54 % (31892)Termination phase: Saturation
% 1.58/0.54
% 1.58/0.54 % (31892)Memory used [KB]: 9978
% 1.58/0.54 % (31892)Time elapsed: 0.005 s
% 1.58/0.54 % (31892)Instructions burned: 6 (million)
% 1.58/0.54 % (31892)------------------------------
% 1.58/0.54 % (31892)------------------------------
% 1.58/0.55 % (31890)First to succeed.
% 1.58/0.55 % (31897)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2997ds/62Mi)
% 1.58/0.55 % (31894)Instruction limit reached!
% 1.58/0.55 % (31894)------------------------------
% 1.58/0.55 % (31894)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.58/0.55 % (31894)Termination reason: Unknown
% 1.58/0.55 % (31894)Termination phase: Saturation
% 1.58/0.55
% 1.58/0.55 % (31894)Memory used [KB]: 5628
% 1.58/0.55 % (31894)Time elapsed: 0.024 s
% 1.58/0.55 % (31894)Instructions burned: 47 (million)
% 1.58/0.55 % (31894)------------------------------
% 1.58/0.55 % (31894)------------------------------
% 1.71/0.55 % (31890)Refutation found. Thanks to Tanya!
% 1.71/0.55 % SZS status Theorem for theBenchmark
% 1.71/0.55 % SZS output start Proof for theBenchmark
% 1.71/0.55 thf(func_def_0, type, emptyset: $i > $o).
% 1.71/0.55 thf(func_def_1, type, union: ($i > $o) > ($i > $o) > $i > $o).
% 1.71/0.55 thf(func_def_3, type, singleton: $i > $i > $o).
% 1.71/0.55 thf(func_def_5, type, sup: ($i > $o) > $i).
% 1.71/0.55 thf(func_def_6, type, supset: (($i > $o) > $o) > $i > $o).
% 1.71/0.55 thf(func_def_7, type, unionset: (($i > $o) > $o) > $i > $o).
% 1.71/0.55 thf(func_def_8, type, addition: $i > $i > $i).
% 1.71/0.55 thf(func_def_9, type, leq: $i > $i > $o).
% 1.71/0.55 thf(func_def_10, type, multiplication: $i > $i > $i).
% 1.71/0.55 thf(func_def_11, type, crossmult: ($i > $o) > ($i > $o) > $i > $o).
% 1.71/0.55 thf(func_def_25, type, sK0: $i > $o).
% 1.71/0.55 thf(func_def_26, type, sF1: $i > $o).
% 1.71/0.55 thf(func_def_28, type, sF3: $i > $i).
% 1.71/0.55 thf(func_def_32, type, ph7: !>[X0: $tType]:(X0)).
% 1.71/0.55 thf(func_def_34, type, sK9: $i > $i).
% 1.71/0.55 thf(func_def_35, type, sK10: $i > $i).
% 1.71/0.55 thf(func_def_36, type, sK11: $i > $i > $i).
% 1.71/0.55 thf(func_def_37, type, sK12: $i > $i > $i).
% 1.71/0.55 thf(func_def_38, type, sK13: $i > $i).
% 1.71/0.55 thf(func_def_39, type, sK14: $i > $i > $i).
% 1.71/0.55 thf(func_def_40, type, sK15: $i > $i).
% 1.71/0.55 thf(func_def_41, type, sK16: $i > $i > $i > $i).
% 1.71/0.55 thf(func_def_42, type, sK17: ($i > $o) > ($i > $o) > $i).
% 1.71/0.55 thf(func_def_43, type, sK18: ($i > $o) > ($i > $o) > $i).
% 1.71/0.55 thf(func_def_44, type, sK19: ($i > $o) > ($i > $o) > $i).
% 1.71/0.55 thf(func_def_45, type, sK20: ($i > $o) > ($i > $o) > $i).
% 1.71/0.55 thf(func_def_46, type, sK21: ($i > $o) > ($i > $o) > $i).
% 1.71/0.55 thf(func_def_47, type, sK22: ($i > $o) > ($i > $o) > $i).
% 1.71/0.55 thf(func_def_48, type, sK23: ($i > $o) > (($i > $o) > $o) > $i > $o).
% 1.71/0.55 thf(func_def_49, type, sK24: ($i > $o) > ($i > $o) > ($i > $o) > $i).
% 1.71/0.55 thf(func_def_50, type, sK25: ($i > $o) > ($i > $o) > ($i > $o) > $i).
% 1.71/0.55 thf(func_def_51, type, sK26: ($i > $o) > ($i > $o) > $i > $i).
% 1.71/0.55 thf(func_def_52, type, sK27: ($i > $o) > ($i > $o) > $i > $i).
% 1.71/0.55 thf(func_def_53, type, sK28: ($i > $o) > ($i > $o) > $i > $i).
% 1.71/0.55 thf(f342,plain,(
% 1.71/0.55 $false),
% 1.71/0.55 inference(subsumption_resolution,[],[f341,f65])).
% 1.71/0.55 thf(f65,plain,(
% 1.71/0.55 (sF2 != sF5)),
% 1.71/0.55 inference(definition_folding,[],[f54,f61,f60,f64,f63,f62,f61,f60])).
% 1.71/0.55 thf(f62,plain,(
% 1.71/0.55 (sF3 = (multiplication @ sF2))),
% 1.71/0.55 introduced(function_definition,[])).
% 1.71/0.55 thf(f63,plain,(
% 1.71/0.55 (sF4 = (sup @ sK0))),
% 1.71/0.55 introduced(function_definition,[])).
% 1.71/0.55 thf(f64,plain,(
% 1.71/0.55 (sF5 = (sF3 @ sF4))),
% 1.71/0.55 introduced(function_definition,[])).
% 1.71/0.55 thf(f60,plain,(
% 1.71/0.55 ((^[Y0 : $i]: ($false)) = sF1)),
% 1.71/0.55 introduced(function_definition,[])).
% 1.71/0.55 thf(f61,plain,(
% 1.71/0.55 (sF2 = (sup @ sF1))),
% 1.71/0.55 introduced(function_definition,[])).
% 1.71/0.55 thf(f54,plain,(
% 1.71/0.55 ((multiplication @ (sup @ (^[Y0 : $i]: ($false))) @ (sup @ sK0)) != (sup @ (^[Y0 : $i]: ($false))))),
% 1.71/0.55 inference(definition_unfolding,[],[f36,f52,f52])).
% 1.71/0.55 thf(f52,plain,(
% 1.71/0.55 (zero = (sup @ (^[Y0 : $i]: ($false))))),
% 1.71/0.55 inference(definition_unfolding,[],[f40,f49])).
% 1.71/0.55 thf(f49,plain,(
% 1.71/0.55 (emptyset = (^[Y0 : $i]: ($false)))),
% 1.71/0.55 inference(cnf_transformation,[],[f20])).
% 1.71/0.55 thf(f20,plain,(
% 1.71/0.55 (emptyset = (^[Y0 : $i]: ($false)))),
% 1.71/0.55 inference(fool_elimination,[],[f1])).
% 1.71/0.55 thf(f1,axiom,(
% 1.71/0.55 ((^[X0 : $i] : ($false)) = emptyset)),
% 1.71/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyset_def)).
% 1.71/0.55 thf(f40,plain,(
% 1.71/0.55 ((sup @ emptyset) = zero)),
% 1.71/0.55 inference(cnf_transformation,[],[f4])).
% 1.71/0.55 thf(f4,axiom,(
% 1.71/0.55 ((sup @ emptyset) = zero)),
% 1.71/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sup_es)).
% 1.71/0.55 thf(f36,plain,(
% 1.71/0.55 (zero != (multiplication @ zero @ (sup @ sK0)))),
% 1.71/0.55 inference(cnf_transformation,[],[f34])).
% 1.71/0.55 thf(f34,plain,(
% 1.71/0.55 (zero != (multiplication @ zero @ (sup @ sK0)))),
% 1.71/0.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f32,f33])).
% 1.71/0.55 thf(f33,plain,(
% 1.71/0.55 ? [X0 : $i > $o] : (zero != (multiplication @ zero @ (sup @ X0))) => (zero != (multiplication @ zero @ (sup @ sK0)))),
% 1.71/0.55 introduced(choice_axiom,[])).
% 1.71/0.55 thf(f32,plain,(
% 1.71/0.55 ? [X0 : $i > $o] : (zero != (multiplication @ zero @ (sup @ X0)))),
% 1.71/0.55 inference(ennf_transformation,[],[f16])).
% 1.71/0.55 thf(f16,negated_conjecture,(
% 1.71/0.55 ~! [X0 : $i > $o] : (zero = (multiplication @ zero @ (sup @ X0)))),
% 1.71/0.55 inference(negated_conjecture,[],[f15])).
% 1.71/0.55 thf(f15,conjecture,(
% 1.71/0.55 ! [X0 : $i > $o] : (zero = (multiplication @ zero @ (sup @ X0)))),
% 1.71/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplication_anni)).
% 1.71/0.55 thf(f341,plain,(
% 1.71/0.55 (sF2 = sF5)),
% 1.71/0.55 inference(backward_demodulation,[],[f64,f340])).
% 1.71/0.55 thf(f340,plain,(
% 1.71/0.55 ( ! [X1 : $i] : ((sF2 = (sF3 @ X1))) )),
% 1.71/0.55 inference(backward_demodulation,[],[f84,f335])).
% 1.71/0.55 thf(f335,plain,(
% 1.71/0.55 ( ! [X0 : $i] : ((sF2 = (multiplication @ sF2 @ X0))) )),
% 1.71/0.55 inference(superposition,[],[f306,f67])).
% 1.71/0.55 thf(f67,plain,(
% 1.71/0.55 ( ! [X0 : $i] : (((sup @ (= @ X0)) = X0)) )),
% 1.71/0.55 inference(beta_eta_normalization,[],[f58])).
% 1.71/0.55 thf(f58,plain,(
% 1.71/0.55 ( ! [X0 : $i] : (((sup @ ((^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))) @ X0)) = X0)) )),
% 1.71/0.55 inference(definition_unfolding,[],[f50,f48])).
% 1.71/0.55 thf(f48,plain,(
% 1.71/0.55 (singleton = (^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))))),
% 1.71/0.55 inference(cnf_transformation,[],[f27])).
% 1.71/0.55 thf(f27,plain,(
% 1.71/0.55 (singleton = (^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))))),
% 1.71/0.55 inference(fool_elimination,[],[f26])).
% 1.71/0.55 thf(f26,plain,(
% 1.71/0.55 (singleton = (^[X0 : $i, X1 : $i] : ((X0 = X1))))),
% 1.71/0.55 inference(rectify,[],[f3])).
% 1.71/0.55 thf(f3,axiom,(
% 1.71/0.55 (singleton = (^[X0 : $i, X2 : $i] : ((X0 = X2))))),
% 1.71/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_def)).
% 1.71/0.55 thf(f50,plain,(
% 1.71/0.55 ( ! [X0 : $i] : (((sup @ (singleton @ X0)) = X0)) )),
% 1.71/0.55 inference(cnf_transformation,[],[f5])).
% 1.71/0.55 thf(f5,axiom,(
% 1.71/0.55 ! [X0] : ((sup @ (singleton @ X0)) = X0)),
% 1.71/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sup_singleset)).
% 1.71/0.55 thf(f306,plain,(
% 1.71/0.55 ( ! [X0 : $i > $o] : (((multiplication @ sF2 @ (sup @ X0)) = sF2)) )),
% 1.71/0.55 inference(trivial_inequality_removal,[],[f305])).
% 1.71/0.55 thf(f305,plain,(
% 1.71/0.55 ( ! [X0 : $i > $o] : (((multiplication @ sF2 @ (sup @ X0)) = sF2) | ($true = $false)) )),
% 1.71/0.55 inference(forward_demodulation,[],[f287,f74])).
% 1.71/0.55 thf(f74,plain,(
% 1.71/0.55 ( ! [X1 : $i] : (((sF1 @ X1) = $false)) )),
% 1.71/0.55 inference(beta_eta_normalization,[],[f73])).
% 1.71/0.55 thf(f73,plain,(
% 1.71/0.55 ( ! [X1 : $i] : (((sF1 @ X1) = ((^[Y0 : $i]: ($false)) @ X1))) )),
% 1.71/0.55 inference(argument_congruence,[],[f60])).
% 1.71/0.55 thf(f287,plain,(
% 1.71/0.55 ( ! [X0 : $i > $o] : (((sF1 @ (sK21 @ sF1 @ X0)) = $true) | ((multiplication @ sF2 @ (sup @ X0)) = sF2)) )),
% 1.71/0.55 inference(superposition,[],[f272,f61])).
% 1.71/0.55 thf(f272,plain,(
% 1.71/0.55 ( ! [X0 : $i > $o,X1 : $i > $o] : (((multiplication @ (sup @ X1) @ (sup @ X0)) = sF2) | ((X1 @ (sK21 @ X1 @ X0)) = $true)) )),
% 1.71/0.55 inference(trivial_inequality_removal,[],[f271])).
% 1.71/0.55 thf(f271,plain,(
% 1.71/0.55 ( ! [X0 : $i > $o,X1 : $i > $o] : (((X1 @ (sK21 @ X1 @ X0)) = $true) | ($true = $false) | ((multiplication @ (sup @ X1) @ (sup @ X0)) = sF2)) )),
% 1.71/0.55 inference(forward_demodulation,[],[f266,f74])).
% 1.71/0.55 thf(f266,plain,(
% 1.71/0.55 ( ! [X0 : $i > $o,X1 : $i > $o] : (((X1 @ (sK21 @ X1 @ X0)) = $true) | ((multiplication @ (sup @ X1) @ (sup @ X0)) = sF2) | ((sF1 @ (sK20 @ X1 @ X0)) = $true)) )),
% 1.71/0.55 inference(binary_proxy_clausification,[],[f265])).
% 1.71/0.55 thf(f265,plain,(
% 1.71/0.55 ( ! [X0 : $i > $o,X1 : $i > $o] : (((multiplication @ (sup @ X1) @ (sup @ X0)) = sF2) | (((((multiplication @ (sK21 @ X1 @ X0) @ (sK22 @ X1 @ X0)) = (sK20 @ X1 @ X0)) & (X0 @ (sK22 @ X1 @ X0))) & (X1 @ (sK21 @ X1 @ X0))) = $true) | ((sF1 @ (sK20 @ X1 @ X0)) = $true)) )),
% 1.71/0.55 inference(beta_eta_normalization,[],[f264])).
% 1.71/0.55 thf(f264,plain,(
% 1.71/0.55 ( ! [X0 : $i > $o,X1 : $i > $o] : (((sF1 @ (sK20 @ X1 @ X0)) = $true) | ($true = ((^[Y0 : $i]: ((((multiplication @ (sK21 @ X1 @ X0) @ Y0) = (sK20 @ X1 @ X0)) & (X0 @ Y0)) & (X1 @ (sK21 @ X1 @ X0)))) @ (sK22 @ X1 @ X0))) | ((multiplication @ (sup @ X1) @ (sup @ X0)) = sF2)) )),
% 1.71/0.55 inference(sigma_clausification,[],[f263])).
% 1.71/0.55 thf(f263,plain,(
% 1.71/0.55 ( ! [X0 : $i > $o,X1 : $i > $o] : (((sF1 @ (sK20 @ X1 @ X0)) = $true) | ((?? @ $i @ (^[Y0 : $i]: ((((multiplication @ (sK21 @ X1 @ X0) @ Y0) = (sK20 @ X1 @ X0)) & (X0 @ Y0)) & (X1 @ (sK21 @ X1 @ X0))))) = $true) | ((multiplication @ (sup @ X1) @ (sup @ X0)) = sF2)) )),
% 1.71/0.55 inference(beta_eta_normalization,[],[f262])).
% 1.71/0.55 thf(f262,plain,(
% 1.71/0.55 ( ! [X0 : $i > $o,X1 : $i > $o] : (((sF1 @ (sK20 @ X1 @ X0)) = $true) | ((multiplication @ (sup @ X1) @ (sup @ X0)) = sF2) | ($true = ((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((((multiplication @ Y0 @ Y1) = (sK20 @ X1 @ X0)) & (X0 @ Y1)) & (X1 @ Y0))))) @ (sK21 @ X1 @ X0)))) )),
% 1.71/0.55 inference(sigma_clausification,[],[f253])).
% 1.71/0.55 thf(f253,plain,(
% 1.71/0.55 ( ! [X0 : $i > $o,X1 : $i > $o] : (((multiplication @ (sup @ X1) @ (sup @ X0)) = sF2) | ((sF1 @ (sK20 @ X1 @ X0)) = $true) | ($true = (?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((((multiplication @ Y0 @ Y1) = (sK20 @ X1 @ X0)) & (X0 @ Y1)) & (X1 @ Y0)))))))) )),
% 1.71/0.55 inference(binary_proxy_clausification,[],[f252])).
% 1.71/0.55 thf(f252,plain,(
% 1.71/0.55 ( ! [X0 : $i > $o,X1 : $i > $o] : (((multiplication @ (sup @ X1) @ (sup @ X0)) = sF2) | ((sF1 @ (sK20 @ X1 @ X0)) != (?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((((multiplication @ Y0 @ Y1) = (sK20 @ X1 @ X0)) & (X0 @ Y1)) & (X1 @ Y0)))))))) )),
% 1.71/0.55 inference(beta_eta_normalization,[],[f249])).
% 1.71/0.55 thf(f249,plain,(
% 1.71/0.55 ( ! [X0 : $i > $o,X1 : $i > $o] : (((multiplication @ (sup @ X1) @ (sup @ X0)) = sF2) | ((sF1 @ (sK20 @ X1 @ X0)) != ((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((((multiplication @ Y1 @ Y2) = Y0) & (X0 @ Y2)) & (X1 @ Y1))))))) @ (sK20 @ X1 @ X0)))) )),
% 1.71/0.55 inference(negative_extensionality,[],[f111])).
% 1.71/0.55 thf(f111,plain,(
% 1.71/0.55 ( ! [X0 : $i > $o,X1 : $i > $o] : (((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((((multiplication @ Y1 @ Y2) = Y0) & (X0 @ Y2)) & (X1 @ Y1))))))) != sF1) | ((multiplication @ (sup @ X1) @ (sup @ X0)) = sF2)) )),
% 1.71/0.55 inference(constrained_superposition,[],[f66,f61])).
% 1.71/0.55 thf(f66,plain,(
% 1.71/0.55 ( ! [X0 : $i > $o,X1 : $i > $o] : (((multiplication @ (sup @ X0) @ (sup @ X1)) = (sup @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((((multiplication @ Y1 @ Y2) = Y0) & (X1 @ Y2)) & (X0 @ Y1)))))))))) )),
% 1.71/0.55 inference(beta_eta_normalization,[],[f59])).
% 1.71/0.55 thf(f59,plain,(
% 1.71/0.55 ( ! [X0 : $i > $o,X1 : $i > $o] : (((multiplication @ (sup @ X0) @ (sup @ X1)) = (sup @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((((multiplication @ Y3 @ Y4) = Y2) & (Y1 @ Y4)) & (Y0 @ Y3))))))))))) @ X0 @ X1)))) )),
% 1.71/0.55 inference(definition_unfolding,[],[f51,f47])).
% 1.71/0.55 thf(f47,plain,(
% 1.71/0.55 (crossmult = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((((multiplication @ Y3 @ Y4) = Y2) & (Y1 @ Y4)) & (Y0 @ Y3))))))))))))),
% 1.71/0.55 inference(cnf_transformation,[],[f19])).
% 1.71/0.55 thf(f19,plain,(
% 1.71/0.55 (crossmult = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((((multiplication @ Y3 @ Y4) = Y2) & (Y1 @ Y4)) & (Y0 @ Y3))))))))))))),
% 1.71/0.55 inference(fool_elimination,[],[f18])).
% 1.71/0.55 thf(f18,plain,(
% 1.71/0.55 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : (? [X3,X4] : ((X0 @ X4) & (X1 @ X3) & ((multiplication @ X4 @ X3) = X2)))) = crossmult)),
% 1.71/0.55 inference(rectify,[],[f11])).
% 1.71/0.55 thf(f11,axiom,(
% 1.71/0.55 ((^[X0 : $i > $o, X1 : $i > $o, X6 : $i] : (? [X7,X4] : ((X0 @ X4) & (X1 @ X7) & ((multiplication @ X4 @ X7) = X6)))) = crossmult)),
% 1.71/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',crossmult_def)).
% 1.71/0.55 thf(f51,plain,(
% 1.71/0.55 ( ! [X0 : $i > $o,X1 : $i > $o] : (((multiplication @ (sup @ X0) @ (sup @ X1)) = (sup @ (crossmult @ X0 @ X1)))) )),
% 1.71/0.55 inference(cnf_transformation,[],[f12])).
% 1.71/0.55 thf(f12,axiom,(
% 1.71/0.55 ! [X0 : $i > $o,X1 : $i > $o] : ((multiplication @ (sup @ X0) @ (sup @ X1)) = (sup @ (crossmult @ X0 @ X1)))),
% 1.71/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplication_def)).
% 1.71/0.55 thf(f84,plain,(
% 1.71/0.55 ( ! [X1 : $i] : (((sF3 @ X1) = (multiplication @ sF2 @ X1))) )),
% 1.71/0.55 inference(argument_congruence,[],[f62])).
% 1.71/0.55 % SZS output end Proof for theBenchmark
% 1.71/0.55 % (31890)------------------------------
% 1.71/0.55 % (31890)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.71/0.55 % (31890)Termination reason: Refutation
% 1.71/0.55
% 1.71/0.55 % (31890)Memory used [KB]: 5756
% 1.71/0.55 % (31890)Time elapsed: 0.035 s
% 1.71/0.55 % (31890)Instructions burned: 63 (million)
% 1.71/0.55 % (31890)------------------------------
% 1.71/0.55 % (31890)------------------------------
% 1.71/0.55 % (31840)Success in time 0.233 s
% 1.71/0.55 % Vampire---4.8 exiting
%------------------------------------------------------------------------------