TSTP Solution File: SEU592^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU592^1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n032.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 03:49:49 EDT 2024
% Result : Theorem 0.15s 0.50s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : SEU592^1 : TPTP v8.2.0. Released v3.7.0.
% 0.03/0.11 % 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
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sun May 19 17:12:52 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 This is a TH0_THM_EQU_NAR problem
% 0.10/0.30 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 % (3604)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.33 % (3607)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 % (3608)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)
% 0.15/0.33 % (3604)Instruction limit reached!
% 0.15/0.33 % (3604)------------------------------
% 0.15/0.33 % (3604)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (3601)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.33 % (3602)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 % (3604)Termination reason: Unknown
% 0.15/0.33 % (3604)Termination phase: shuffling
% 0.15/0.33
% 0.15/0.33 % (3604)Memory used [KB]: 1151
% 0.15/0.33 % (3604)Time elapsed: 0.003 s
% 0.15/0.33 % (3604)Instructions burned: 2 (million)
% 0.15/0.33 % (3604)------------------------------
% 0.15/0.33 % (3604)------------------------------
% 0.15/0.33 % (3603)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 % (3605)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)
% 0.15/0.33 % (3606)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)
% 0.15/0.33 % (3605)Instruction limit reached!
% 0.15/0.33 % (3605)------------------------------
% 0.15/0.33 % (3605)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (3605)Termination reason: Unknown
% 0.15/0.33 % (3605)Termination phase: shuffling
% 0.15/0.33
% 0.15/0.33 % (3605)Memory used [KB]: 1151
% 0.15/0.33 % (3605)Time elapsed: 0.003 s
% 0.15/0.33 % (3605)Instructions burned: 2 (million)
% 0.15/0.33 % (3605)------------------------------
% 0.15/0.33 % (3605)------------------------------
% 0.15/0.33 % (3608)Instruction limit reached!
% 0.15/0.33 % (3608)------------------------------
% 0.15/0.33 % (3608)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (3608)Termination reason: Unknown
% 0.15/0.33 % (3608)Termination phase: shuffling
% 0.15/0.33
% 0.15/0.33 % (3608)Memory used [KB]: 1151
% 0.15/0.33 % (3608)Time elapsed: 0.004 s
% 0.15/0.33 % (3608)Instructions burned: 5 (million)
% 0.15/0.33 % (3608)------------------------------
% 0.15/0.33 % (3608)------------------------------
% 0.15/0.33 % (3602)Instruction limit reached!
% 0.15/0.33 % (3602)------------------------------
% 0.15/0.33 % (3602)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (3602)Termination reason: Unknown
% 0.15/0.33 % (3602)Termination phase: shuffling
% 0.15/0.33
% 0.15/0.33 % (3602)Memory used [KB]: 1151
% 0.15/0.33 % (3602)Time elapsed: 0.004 s
% 0.15/0.33 % (3602)Instructions burned: 4 (million)
% 0.15/0.33 % (3602)------------------------------
% 0.15/0.33 % (3602)------------------------------
% 0.15/0.34 % (3607)Instruction limit reached!
% 0.15/0.34 % (3607)------------------------------
% 0.15/0.34 % (3607)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.34 % (3607)Termination reason: Unknown
% 0.15/0.34 % (3607)Termination phase: Preprocessing 3
% 0.15/0.34
% 0.15/0.34 % (3607)Memory used [KB]: 1663
% 0.15/0.34 % (3607)Time elapsed: 0.011 s
% 0.15/0.34 % (3607)Instructions burned: 19 (million)
% 0.15/0.34 % (3607)------------------------------
% 0.15/0.34 % (3607)------------------------------
% 0.15/0.34 % (3603)Instruction limit reached!
% 0.15/0.34 % (3603)------------------------------
% 0.15/0.34 % (3603)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.34 % (3603)Termination reason: Unknown
% 0.15/0.34 % (3603)Termination phase: Property scanning
% 0.15/0.34
% 0.15/0.34 % (3603)Memory used [KB]: 1535
% 0.15/0.34 % (3603)Time elapsed: 0.015 s
% 0.15/0.34 % (3603)Instructions burned: 27 (million)
% 0.15/0.34 % (3603)------------------------------
% 0.15/0.34 % (3603)------------------------------
% 0.15/0.34 % (3609)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)
% 0.15/0.34 % (3611)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)
% 0.15/0.34 % (3610)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)
% 0.15/0.34 % (3612)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)
% 0.15/0.34 % (3611)Instruction limit reached!
% 0.15/0.34 % (3611)------------------------------
% 0.15/0.34 % (3611)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.34 % (3611)Termination reason: Unknown
% 0.15/0.34 % (3611)Termination phase: shuffling
% 0.15/0.34
% 0.15/0.34 % (3611)Memory used [KB]: 1151
% 0.15/0.34 % (3611)Time elapsed: 0.003 s
% 0.15/0.34 % (3611)Instructions burned: 3 (million)
% 0.15/0.34 % (3611)------------------------------
% 0.15/0.34 % (3611)------------------------------
% 0.15/0.35 % (3613)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.35 % (3610)Instruction limit reached!
% 0.15/0.35 % (3610)------------------------------
% 0.15/0.35 % (3610)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.35 % (3610)Termination reason: Unknown
% 0.15/0.35 % (3610)Termination phase: Naming
% 0.15/0.35
% 0.15/0.35 % (3610)Memory used [KB]: 1407
% 0.15/0.35 % (3610)Time elapsed: 0.010 s
% 0.15/0.35 % (3610)Instructions burned: 16 (million)
% 0.15/0.35 % (3610)------------------------------
% 0.15/0.35 % (3610)------------------------------
% 0.15/0.35 % (3613)Instruction limit reached!
% 0.15/0.35 % (3613)------------------------------
% 0.15/0.35 % (3613)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.35 % (3613)Termination reason: Unknown
% 0.15/0.35 % (3613)Termination phase: shuffling
% 0.15/0.35
% 0.15/0.35 % (3613)Memory used [KB]: 1279
% 0.15/0.35 % (3613)Time elapsed: 0.005 s
% 0.15/0.35 % (3613)Instructions burned: 8 (million)
% 0.15/0.35 % (3613)------------------------------
% 0.15/0.35 % (3613)------------------------------
% 0.15/0.36 % (3614)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 % (3609)Instruction limit reached!
% 0.15/0.36 % (3609)------------------------------
% 0.15/0.36 % (3609)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.36 % (3609)Termination reason: Unknown
% 0.15/0.36 % (3609)Termination phase: Function definition elimination
% 0.15/0.36
% 0.15/0.36 % (3609)Memory used [KB]: 1535
% 0.15/0.36 % (3609)Time elapsed: 0.017 s
% 0.15/0.36 % (3609)Instructions burned: 37 (million)
% 0.15/0.36 % (3609)------------------------------
% 0.15/0.36 % (3609)------------------------------
% 0.15/0.36 % (3615)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 % (3615)Instruction limit reached!
% 0.15/0.36 % (3615)------------------------------
% 0.15/0.36 % (3615)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.36 % (3615)Termination reason: Unknown
% 0.15/0.36 % (3615)Termination phase: shuffling
% 0.15/0.36
% 0.15/0.36 % (3615)Memory used [KB]: 1151
% 0.15/0.36 % (3615)Time elapsed: 0.003 s
% 0.15/0.36 % (3615)Instructions burned: 3 (million)
% 0.15/0.36 % (3615)------------------------------
% 0.15/0.36 % (3615)------------------------------
% 0.15/0.36 % (3614)Instruction limit reached!
% 0.15/0.36 % (3614)------------------------------
% 0.15/0.36 % (3614)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.36 % (3614)Termination reason: Unknown
% 0.15/0.36 % (3614)Termination phase: Property scanning
% 0.15/0.36
% 0.15/0.36 % (3614)Memory used [KB]: 1407
% 0.15/0.36 % (3614)Time elapsed: 0.010 s
% 0.15/0.36 % (3614)Instructions burned: 17 (million)
% 0.15/0.36 % (3614)------------------------------
% 0.15/0.36 % (3614)------------------------------
% 0.15/0.37 % (3617)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 % (3616)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 % (3616)Instruction limit reached!
% 0.15/0.37 % (3616)------------------------------
% 0.15/0.37 % (3616)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (3616)Termination reason: Unknown
% 0.15/0.37 % (3616)Termination phase: shuffling
% 0.15/0.37
% 0.15/0.37 % (3616)Memory used [KB]: 1151
% 0.15/0.37 % (3616)Time elapsed: 0.003 s
% 0.15/0.37 % (3616)Instructions burned: 3 (million)
% 0.15/0.37 % (3616)------------------------------
% 0.15/0.37 % (3616)------------------------------
% 0.15/0.37 % (3617)Instruction limit reached!
% 0.15/0.37 % (3617)------------------------------
% 0.15/0.37 % (3617)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (3617)Termination reason: Unknown
% 0.15/0.37 % (3617)Termination phase: shuffling
% 0.15/0.37
% 0.15/0.37 % (3617)Memory used [KB]: 1279
% 0.15/0.37 % (3617)Time elapsed: 0.005 s
% 0.15/0.37 % (3617)Instructions burned: 8 (million)
% 0.15/0.37 % (3617)------------------------------
% 0.15/0.37 % (3617)------------------------------
% 0.15/0.37 % (3618)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)
% 0.15/0.37 % (3618)Instruction limit reached!
% 0.15/0.37 % (3618)------------------------------
% 0.15/0.37 % (3618)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (3618)Termination reason: Unknown
% 0.15/0.37 % (3618)Termination phase: shuffling
% 0.15/0.37
% 0.15/0.37 % (3618)Memory used [KB]: 1151
% 0.15/0.37 % (3618)Time elapsed: 0.003 s
% 0.15/0.37 % (3618)Instructions burned: 3 (million)
% 0.15/0.37 % (3618)------------------------------
% 0.15/0.37 % (3618)------------------------------
% 0.15/0.37 % (3619)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.15/0.37 % (3619)Instruction limit reached!
% 0.15/0.37 % (3619)------------------------------
% 0.15/0.37 % (3619)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (3619)Termination reason: Unknown
% 0.15/0.37 % (3619)Termination phase: shuffling
% 0.15/0.37
% 0.15/0.37 % (3619)Memory used [KB]: 1279
% 0.15/0.37 % (3619)Time elapsed: 0.004 s
% 0.15/0.37 % (3619)Instructions burned: 6 (million)
% 0.15/0.37 % (3619)------------------------------
% 0.15/0.37 % (3619)------------------------------
% 0.15/0.38 % (3620)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 % (3621)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.15/0.38 % (3622)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.15/0.38 % (3623)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 % (3622)Instruction limit reached!
% 0.15/0.39 % (3622)------------------------------
% 0.15/0.39 % (3622)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (3622)Termination reason: Unknown
% 0.15/0.39 % (3622)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (3622)Memory used [KB]: 1151
% 0.15/0.39 % (3622)Time elapsed: 0.004 s
% 0.15/0.39 % (3622)Instructions burned: 6 (million)
% 0.15/0.39 % (3622)------------------------------
% 0.15/0.39 % (3622)------------------------------
% 0.15/0.39 % (3624)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)
% 0.15/0.39 % (3620)Instruction limit reached!
% 0.15/0.39 % (3620)------------------------------
% 0.15/0.39 % (3620)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (3620)Termination reason: Unknown
% 0.15/0.39 % (3620)Termination phase: Property scanning
% 0.15/0.39
% 0.15/0.39 % (3620)Memory used [KB]: 1407
% 0.15/0.39 % (3620)Time elapsed: 0.011 s
% 0.15/0.39 % (3620)Instructions burned: 19 (million)
% 0.15/0.39 % (3620)------------------------------
% 0.15/0.39 % (3620)------------------------------
% 0.15/0.40 % (3624)Instruction limit reached!
% 0.15/0.40 % (3624)------------------------------
% 0.15/0.40 % (3624)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (3624)Termination reason: Unknown
% 0.15/0.40 % (3624)Termination phase: Property scanning
% 0.15/0.40
% 0.15/0.40 % (3624)Memory used [KB]: 1407
% 0.15/0.40 % (3624)Time elapsed: 0.011 s
% 0.15/0.40 % (3624)Instructions burned: 21 (million)
% 0.15/0.40 % (3624)------------------------------
% 0.15/0.40 % (3624)------------------------------
% 0.15/0.40 % (3625)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 % (3625)Instruction limit reached!
% 0.15/0.40 % (3625)------------------------------
% 0.15/0.40 % (3625)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (3625)Termination reason: Unknown
% 0.15/0.40 % (3625)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (3625)Memory used [KB]: 1279
% 0.15/0.40 % (3625)Time elapsed: 0.004 s
% 0.15/0.40 % (3625)Instructions burned: 6 (million)
% 0.15/0.40 % (3625)------------------------------
% 0.15/0.40 % (3625)------------------------------
% 0.15/0.40 % (3626)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 % (3626)Instruction limit reached!
% 0.15/0.40 % (3626)------------------------------
% 0.15/0.40 % (3626)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (3626)Termination reason: Unknown
% 0.15/0.40 % (3626)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (3626)Memory used [KB]: 1279
% 0.15/0.41 % (3626)Time elapsed: 0.005 s
% 0.15/0.41 % (3626)Instructions burned: 7 (million)
% 0.15/0.41 % (3626)------------------------------
% 0.15/0.41 % (3626)------------------------------
% 0.15/0.41 % (3627)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.15/0.41 % (3628)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 % (3629)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 % (3601)Instruction limit reached!
% 0.15/0.42 % (3601)------------------------------
% 0.15/0.42 % (3601)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (3601)Termination reason: Unknown
% 0.15/0.42 % (3601)Termination phase: Saturation
% 0.15/0.42
% 0.15/0.42 % (3601)Memory used [KB]: 7036
% 0.15/0.42 % (3601)Time elapsed: 0.096 s
% 0.15/0.42 % (3601)Instructions burned: 184 (million)
% 0.15/0.42 % (3601)------------------------------
% 0.15/0.42 % (3601)------------------------------
% 0.15/0.43 % (3629)Instruction limit reached!
% 0.15/0.43 % (3629)------------------------------
% 0.15/0.43 % (3629)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.43 % (3629)Termination reason: Unknown
% 0.15/0.43 % (3629)Termination phase: Property scanning
% 0.15/0.43
% 0.15/0.43 % (3629)Memory used [KB]: 1535
% 0.15/0.43 % (3629)Time elapsed: 0.011 s
% 0.15/0.43 % (3629)Instructions burned: 20 (million)
% 0.15/0.43 % (3629)------------------------------
% 0.15/0.43 % (3629)------------------------------
% 0.15/0.44 % (3630)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.15/0.44 % (3631)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.15/0.45 % (3631)Instruction limit reached!
% 0.15/0.45 % (3631)------------------------------
% 0.15/0.45 % (3631)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.45 % (3631)Termination reason: Unknown
% 0.15/0.45 % (3631)Termination phase: Property scanning
% 0.15/0.45
% 0.15/0.45 % (3631)Memory used [KB]: 1407
% 0.15/0.45 % (3631)Time elapsed: 0.010 s
% 0.15/0.45 % (3631)Instructions burned: 19 (million)
% 0.15/0.45 % (3631)------------------------------
% 0.15/0.45 % (3631)------------------------------
% 0.15/0.46 % (3632)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.15/0.46 % (3632)Instruction limit reached!
% 0.15/0.46 % (3632)------------------------------
% 0.15/0.46 % (3632)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.46 % (3632)Termination reason: Unknown
% 0.15/0.46 % (3632)Termination phase: shuffling
% 0.15/0.46
% 0.15/0.46 % (3632)Memory used [KB]: 1151
% 0.15/0.46 % (3632)Time elapsed: 0.003 s
% 0.15/0.46 % (3632)Instructions burned: 3 (million)
% 0.15/0.46 % (3632)------------------------------
% 0.15/0.46 % (3632)------------------------------
% 0.15/0.48 % (3606)Instruction limit reached!
% 0.15/0.48 % (3606)------------------------------
% 0.15/0.48 % (3606)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.48 % (3606)Termination reason: Unknown
% 0.15/0.48 % (3606)Termination phase: Saturation
% 0.15/0.48
% 0.15/0.48 % (3606)Memory used [KB]: 7803
% 0.15/0.48 % (3606)Time elapsed: 0.151 s
% 0.15/0.48 % (3606)Instructions burned: 275 (million)
% 0.15/0.48 % (3606)------------------------------
% 0.15/0.48 % (3606)------------------------------
% 0.15/0.48 % (3633)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.15/0.49 % (3633)Instruction limit reached!
% 0.15/0.49 % (3633)------------------------------
% 0.15/0.49 % (3633)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.49 % (3633)Termination reason: Unknown
% 0.15/0.49 % (3633)Termination phase: Property scanning
% 0.15/0.49
% 0.15/0.49 % (3633)Memory used [KB]: 1535
% 0.15/0.49 % (3633)Time elapsed: 0.015 s
% 0.15/0.49 % (3633)Instructions burned: 30 (million)
% 0.15/0.49 % (3633)------------------------------
% 0.15/0.49 % (3633)------------------------------
% 0.15/0.49 % (3634)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)
% 0.15/0.49 % (3630)First to succeed.
% 0.15/0.50 % (3630)Refutation found. Thanks to Tanya!
% 0.15/0.50 % SZS status Theorem for theBenchmark
% 0.15/0.50 % SZS output start Proof for theBenchmark
% 0.15/0.50 thf(func_def_0, type, in: $i > $i > $o).
% 0.15/0.50 thf(func_def_1, type, exu: ($i > $o) > $o).
% 0.15/0.50 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 0.15/0.50 thf(func_def_8, type, powerset: $i > $i).
% 0.15/0.50 thf(func_def_10, type, setunion: $i > $i).
% 0.15/0.50 thf(func_def_19, type, descr: ($i > $o) > $i).
% 0.15/0.50 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 0.15/0.50 thf(func_def_26, type, prop2set: $o > $i).
% 0.15/0.50 thf(func_def_36, type, nonempty: $i > $o).
% 0.15/0.50 thf(func_def_69, type, set2prop: $i > $o).
% 0.15/0.50 thf(func_def_88, type, subset: $i > $i > $o).
% 0.15/0.50 thf(func_def_89, type, disjoint: $i > $i > $o).
% 0.15/0.50 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 0.15/0.50 thf(func_def_114, type, binunion: $i > $i > $i).
% 0.15/0.50 thf(func_def_122, type, binintersect: $i > $i > $i).
% 0.15/0.50 thf(func_def_146, type, sK3: $i > $i > $i).
% 0.15/0.50 thf(func_def_147, type, sK4: $i > $i > $i).
% 0.15/0.50 thf(func_def_148, type, sK5: $i > ($i > $i > $o) > $i).
% 0.15/0.50 thf(func_def_149, type, sK6: $i > ($i > $i > $o) > $i).
% 0.15/0.50 thf(func_def_150, type, sK7: $i > $i > ($i > $i > $o) > $i).
% 0.15/0.50 thf(func_def_151, type, sK8: $i > $i > ($i > $i > $o) > $i).
% 0.15/0.50 thf(func_def_152, type, sK9: ($i > $o) > ($i > $o) > $i).
% 0.15/0.50 thf(func_def_153, type, sK10: ($i > $o) > ($i > $o) > $i).
% 0.15/0.50 thf(func_def_154, type, sK11: ($i > $o) > $i).
% 0.15/0.50 thf(func_def_155, type, sK12: $i > $i).
% 0.15/0.50 thf(func_def_156, type, sK13: $i > ($i > $o) > $i).
% 0.15/0.50 thf(func_def_157, type, sK14: $i > $i).
% 0.15/0.50 thf(func_def_158, type, sK15: ($i > $o) > $i > $i).
% 0.15/0.50 thf(func_def_159, type, sK16: $i > $i).
% 0.15/0.50 thf(func_def_160, type, sK17: $i > ($i > $o) > $i).
% 0.15/0.50 thf(func_def_161, type, sK18: $i > $i).
% 0.15/0.50 thf(func_def_162, type, sK19: $i > $i > $i).
% 0.15/0.50 thf(func_def_163, type, sK20: $i > $i > $i).
% 0.15/0.50 thf(func_def_164, type, sK21: ($i > $o) > $i > $i).
% 0.15/0.50 thf(func_def_165, type, sK22: $i > $i > $i).
% 0.15/0.50 thf(func_def_166, type, sK23: ($i > $o) > $i).
% 0.15/0.50 thf(func_def_167, type, sK24: ($i > $o) > $i > $i).
% 0.15/0.50 thf(func_def_168, type, sK25: $i > $i > $i).
% 0.15/0.50 thf(func_def_169, type, sK26: ($i > $o) > ($i > $o) > $i).
% 0.15/0.50 thf(func_def_170, type, sK27: ($i > $o) > ($i > $o) > $i).
% 0.15/0.50 thf(func_def_171, type, sK28: ($i > $o) > ($i > $o) > $i).
% 0.15/0.50 thf(func_def_172, type, sK29: ($i > $o) > ($i > $o) > $i).
% 0.15/0.50 thf(func_def_173, type, sK30: $o > $i > $i > $i).
% 0.15/0.50 thf(func_def_174, type, sK31: $i > $i).
% 0.15/0.50 thf(func_def_175, type, sK32: $i > $i > $i > $i).
% 0.15/0.50 thf(func_def_176, type, sK33: $i > $i > $i).
% 0.15/0.50 thf(func_def_177, type, sK34: $i > $i > $i).
% 0.15/0.50 thf(func_def_178, type, sK35: $i > $i > $i).
% 0.15/0.50 thf(func_def_179, type, sK36: $i > $i > $i).
% 0.15/0.50 thf(func_def_180, type, sK37: $i > $i > $i).
% 0.15/0.50 thf(func_def_181, type, sK38: $i > $i > $i).
% 0.15/0.50 thf(func_def_182, type, sK39: $i > $i).
% 0.15/0.50 thf(func_def_183, type, sK40: $i > $i > $i).
% 0.15/0.50 thf(func_def_184, type, sK41: ($i > $o) > $i > $i).
% 0.15/0.50 thf(func_def_185, type, sK42: ($i > $o) > $i).
% 0.15/0.50 thf(func_def_186, type, sK43: ($i > $o) > $i).
% 0.15/0.50 thf(func_def_187, type, sK44: $i > $i > $i).
% 0.15/0.50 thf(func_def_188, type, sK45: ($i > $o) > $i).
% 0.15/0.50 thf(func_def_189, type, sK46: $i > ($i > $o) > $i).
% 0.15/0.50 thf(func_def_190, type, sK47: ($i > $o) > ($i > $o) > $i > $i > $i).
% 0.15/0.50 thf(func_def_191, type, sK48: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.15/0.50 thf(func_def_192, type, sK49: $i > ($i > $o) > $i).
% 0.15/0.50 thf(func_def_193, type, sK50: $i > $i).
% 0.15/0.50 thf(f1703,plain,(
% 0.15/0.50 $false),
% 0.15/0.50 inference(subsumption_resolution,[],[f1133,f1550])).
% 0.15/0.50 thf(f1550,plain,(
% 0.15/0.50 ( ! [X2 : $i,X1 : $i > $o] : (((subset @ (dsetconstr @ X2 @ X1) @ X2) = $true)) )),
% 0.15/0.50 inference(beta_eta_normalization,[],[f1549])).
% 0.15/0.50 thf(f1549,plain,(
% 0.15/0.50 ( ! [X2 : $i,X1 : $i > $o] : ((((^[Y0 : $i]: (subset @ (dsetconstr @ Y0 @ X1) @ Y0)) @ X2) = $true)) )),
% 0.15/0.50 inference(pi_clausification,[],[f1548])).
% 0.15/0.50 thf(f1548,plain,(
% 0.15/0.50 ( ! [X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: (subset @ (dsetconstr @ Y0 @ X1) @ Y0))) = $true)) )),
% 0.15/0.50 inference(beta_eta_normalization,[],[f1547])).
% 0.15/0.50 thf(f1547,plain,(
% 0.15/0.50 ( ! [X1 : $i > $o] : (($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (subset @ (dsetconstr @ Y1 @ Y0) @ Y1)))) @ X1))) )),
% 0.15/0.50 inference(pi_clausification,[],[f1546])).
% 0.15/0.50 thf(f1546,plain,(
% 0.15/0.50 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (subset @ (dsetconstr @ Y1 @ Y0) @ Y1))))))),
% 0.15/0.50 inference(beta_eta_normalization,[],[f612])).
% 0.15/0.50 thf(f612,plain,(
% 0.15/0.50 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (subset @ (dsetconstr @ Y1 @ (^[Y2 : $i]: (Y0 @ Y2))) @ Y1))))))),
% 0.15/0.50 inference(definition_unfolding,[],[f502,f453])).
% 0.15/0.50 thf(f453,plain,(
% 0.15/0.50 (sepSubset = $true)),
% 0.15/0.50 inference(cnf_transformation,[],[f336])).
% 0.15/0.50 thf(f336,plain,(
% 0.15/0.50 (quantDeMorgan3 = $true) & (sepSubset = $true) & (exuI1 = $true) & (emptyinunitempty = $true) & (dsetconstrER = $true) & (notinsingleton = $true) & (binintersectEL = $true) & (upairsetIR = $true) & (exuE3e = $true) & (upairsetE = $true) & ($true != (subset @ (binintersect @ sK0 @ sK1) @ sK0)) & (inPowerset = $true) & (emptysetimpfalse = $true) & (setextAx = $true) & (prop2set2propI = $true) & (singletonsswitch = $true) & (emptyset__Cong = $true) & (setadjoinSub2 = $true) & (quantDeMorgan4 = $true) & (notdallE = $true) & (setadjoinIL = $true) & (omegaIndAx = $true) & (in__Cong = $true) & (emptysetsubset = $true) & (exuI2 = $true) & (eqimpsubset2 = $true) & (binintersectSubset5 = $true) & (emptysetE = $true) & (powersetI = $true) & (setext = $true) & (setadjoinSub = $true) & (exuE1 = $true) & (dsetconstrEL = $true) & (subsetE = $true) & (sepInPowerset = $true) & (binunionRsub = $true) & (setadjoinIR = $true) & (binunionIR = $true) & (subPowSU = $true) & (setoftrueEq = $true) & (emptyInPowerset = $true) & (subsetemptysetimpeq = $true) & (emptyinPowerset = $true) & (setadjoinOr = $true) & (setbeta = $true) & (setadjoinAx = $true) & (binunionE = $true) & (upairsetIL = $true) & (setunion__Cong = $true) & (inCongP = $true) & (omegaSAx = $true) & (nonemptyE1 = $true) & (powersetE1 = $true) & (setadjoinE = $true) & (notequalI2 = $true) & (powerset__Cong = $true) & (quantDeMorgan1 = $true) & (exuE3u = $true) & (nonemptyI = $true) & (prop2setI = $true) & (subsetI1 = $true) & (replAx = $true) & (notsubsetI = $true) & (upairset2IR = $true) & (powersetE = $true) & (powersetAx = $true) & (setunionE = $true) & (dsetconstrI = $true) & (omega0Ax = $true) & (binintersectI = $true) & (eqimpsubset1 = $true) & (eqinunit = $true) & (vacuousDall = $true) & (setunionAx = $true) & (quantDeMorgan2 = $true) & (exuI3 = $true) & (emptyE1 = $true) & (nonemptyI1 = $true) & (omega__Cong = $true) & (exuEu = $true) & (powersetI1 = $true) & (powersetsubset = $true) & (setextsub = $true) & (exu__Cong = $true) & (subset2powerset = $true) & (foundationAx = $true) & (notdexE = $true) & (binunionLsub = $true) & (binunionEcases = $true) & (wellorderingAx = $true) & (emptyI = $true) & (subsetI2 = $true) & (emptysetAx = $true) & (descrp = $true) & (binunionIL = $true) & (notinemptyset = $true) & (subsetE2 = $true) & (prop2setE = $true) & (descr__Cong = $true) & (uniqinunit = $true) & (subsetTrans = $true) & (setunionI = $true) & (setadjoin__Cong = $true) & (exuE2 = $true) & (dsetconstr__Cong = $true) & (notequalI1 = $true) & (nonemptyImpWitness = $true) & (subsetRefl = $true) & (noeltsimpempty = $true)),
% 0.15/0.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f334,f335])).
% 0.15/0.50 thf(f335,plain,(
% 0.15/0.50 ? [X0,X1] : ((subset @ (binintersect @ X0 @ X1) @ X0) != $true) => ($true != (subset @ (binintersect @ sK0 @ sK1) @ sK0))),
% 0.15/0.50 introduced(choice_axiom,[])).
% 0.15/0.50 thf(f334,plain,(
% 0.15/0.50 (quantDeMorgan3 = $true) & (sepSubset = $true) & (exuI1 = $true) & (emptyinunitempty = $true) & (dsetconstrER = $true) & (notinsingleton = $true) & (binintersectEL = $true) & (upairsetIR = $true) & (exuE3e = $true) & (upairsetE = $true) & ? [X0,X1] : ((subset @ (binintersect @ X0 @ X1) @ X0) != $true) & (inPowerset = $true) & (emptysetimpfalse = $true) & (setextAx = $true) & (prop2set2propI = $true) & (singletonsswitch = $true) & (emptyset__Cong = $true) & (setadjoinSub2 = $true) & (quantDeMorgan4 = $true) & (notdallE = $true) & (setadjoinIL = $true) & (omegaIndAx = $true) & (in__Cong = $true) & (emptysetsubset = $true) & (exuI2 = $true) & (eqimpsubset2 = $true) & (binintersectSubset5 = $true) & (emptysetE = $true) & (powersetI = $true) & (setext = $true) & (setadjoinSub = $true) & (exuE1 = $true) & (dsetconstrEL = $true) & (subsetE = $true) & (sepInPowerset = $true) & (binunionRsub = $true) & (setadjoinIR = $true) & (binunionIR = $true) & (subPowSU = $true) & (setoftrueEq = $true) & (emptyInPowerset = $true) & (subsetemptysetimpeq = $true) & (emptyinPowerset = $true) & (setadjoinOr = $true) & (setbeta = $true) & (setadjoinAx = $true) & (binunionE = $true) & (upairsetIL = $true) & (setunion__Cong = $true) & (inCongP = $true) & (omegaSAx = $true) & (nonemptyE1 = $true) & (powersetE1 = $true) & (setadjoinE = $true) & (notequalI2 = $true) & (powerset__Cong = $true) & (quantDeMorgan1 = $true) & (exuE3u = $true) & (nonemptyI = $true) & (prop2setI = $true) & (subsetI1 = $true) & (replAx = $true) & (notsubsetI = $true) & (upairset2IR = $true) & (powersetE = $true) & (powersetAx = $true) & (setunionE = $true) & (dsetconstrI = $true) & (omega0Ax = $true) & (binintersectI = $true) & (eqimpsubset1 = $true) & (eqinunit = $true) & (vacuousDall = $true) & (setunionAx = $true) & (quantDeMorgan2 = $true) & (exuI3 = $true) & (emptyE1 = $true) & (nonemptyI1 = $true) & (omega__Cong = $true) & (exuEu = $true) & (powersetI1 = $true) & (powersetsubset = $true) & (setextsub = $true) & (exu__Cong = $true) & (subset2powerset = $true) & (foundationAx = $true) & (notdexE = $true) & (binunionLsub = $true) & (binunionEcases = $true) & (wellorderingAx = $true) & (emptyI = $true) & (subsetI2 = $true) & (emptysetAx = $true) & (descrp = $true) & (binunionIL = $true) & (notinemptyset = $true) & (subsetE2 = $true) & (prop2setE = $true) & (descr__Cong = $true) & (uniqinunit = $true) & (subsetTrans = $true) & (setunionI = $true) & (setadjoin__Cong = $true) & (exuE2 = $true) & (dsetconstr__Cong = $true) & (notequalI1 = $true) & (nonemptyImpWitness = $true) & (subsetRefl = $true) & (noeltsimpempty = $true)),
% 0.15/0.50 inference(flattening,[],[f333])).
% 0.15/0.50 thf(f333,plain,(
% 0.15/0.50 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : ((subset @ (binintersect @ X0 @ X1) @ X0) != $true) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
% 0.15/0.50 inference(ennf_transformation,[],[f215])).
% 0.15/0.50 thf(f215,plain,(
% 0.15/0.50 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ! [X0,X1] : ((subset @ (binintersect @ X0 @ X1) @ X0) = $true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.15/0.50 inference(fool_elimination,[],[f214])).
% 0.15/0.50 thf(f214,plain,(
% 0.15/0.50 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => ! [X0,X1] : (subset @ (binintersect @ X0 @ X1) @ X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.15/0.50 inference(rectify,[],[f113])).
% 0.15/0.50 thf(f113,negated_conjecture,(
% 0.15/0.50 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => ! [X3,X4] : (subset @ (binintersect @ X3 @ X4) @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.15/0.50 inference(negated_conjecture,[],[f112])).
% 0.15/0.50 thf(f112,conjecture,(
% 0.15/0.50 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => ! [X3,X4] : (subset @ (binintersect @ X3 @ X4) @ X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.15/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',binintersectLsub)).
% 0.15/0.50 thf(f502,plain,(
% 0.15/0.50 (sepSubset = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (subset @ (dsetconstr @ Y1 @ (^[Y2 : $i]: (Y0 @ Y2))) @ Y1))))))),
% 0.15/0.50 inference(cnf_transformation,[],[f251])).
% 0.15/0.50 thf(f251,plain,(
% 0.15/0.50 (sepSubset = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (subset @ (dsetconstr @ Y1 @ (^[Y2 : $i]: (Y0 @ Y2))) @ Y1))))))),
% 0.15/0.50 inference(fool_elimination,[],[f250])).
% 0.15/0.50 thf(f250,plain,(
% 0.15/0.50 (sepSubset = ! [X0,X1 : $i > $o] : (subset @ (dsetconstr @ X0 @ (^[X2 : $i] : (X1 @ X2))) @ X0))),
% 0.15/0.50 inference(rectify,[],[f100])).
% 0.15/0.50 thf(f100,axiom,(
% 0.15/0.50 (sepSubset = ! [X3,X0 : $i > $o] : (subset @ (dsetconstr @ X3 @ (^[X1 : $i] : (X0 @ X1))) @ X3))),
% 0.15/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sepSubset)).
% 0.15/0.50 thf(f1133,plain,(
% 0.15/0.50 ((subset @ (dsetconstr @ sK0 @ (^[Y0 : $i]: (in @ Y0 @ sK1))) @ sK0) != $true)),
% 0.15/0.50 inference(beta_eta_normalization,[],[f555])).
% 0.15/0.50 thf(f555,plain,(
% 0.15/0.50 ((subset @ ((^[Y0 : $i]: ((^[Y1 : $i]: (dsetconstr @ Y0 @ (^[Y2 : $i]: (in @ Y2 @ Y1)))))) @ sK0 @ sK1) @ sK0) != $true)),
% 0.15/0.50 inference(definition_unfolding,[],[f444,f554])).
% 0.15/0.50 thf(f554,plain,(
% 0.15/0.50 (binintersect = (^[Y0 : $i]: ((^[Y1 : $i]: (dsetconstr @ Y0 @ (^[Y2 : $i]: (in @ Y2 @ Y1)))))))),
% 0.15/0.50 inference(cnf_transformation,[],[f245])).
% 0.15/0.50 thf(f245,plain,(
% 0.15/0.50 (binintersect = (^[Y0 : $i]: ((^[Y1 : $i]: (dsetconstr @ Y0 @ (^[Y2 : $i]: (in @ Y2 @ Y1)))))))),
% 0.15/0.50 inference(fool_elimination,[],[f244])).
% 0.15/0.50 thf(f244,plain,(
% 0.15/0.50 (binintersect = (^[X0 : $i, X1 : $i] : (dsetconstr @ X0 @ (^[X2 : $i] : (in @ X2 @ X1)))))),
% 0.15/0.50 inference(rectify,[],[f108])).
% 0.15/0.50 thf(f108,axiom,(
% 0.15/0.50 (binintersect = (^[X3 : $i, X4 : $i] : (dsetconstr @ X3 @ (^[X1 : $i] : (in @ X1 @ X4)))))),
% 0.15/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',binintersect)).
% 0.15/0.50 thf(f444,plain,(
% 0.15/0.50 ($true != (subset @ (binintersect @ sK0 @ sK1) @ sK0))),
% 0.15/0.50 inference(cnf_transformation,[],[f336])).
% 0.15/0.50 % SZS output end Proof for theBenchmark
% 0.15/0.50 % (3630)------------------------------
% 0.15/0.50 % (3630)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.50 % (3630)Termination reason: Refutation
% 0.15/0.50
% 0.15/0.50 % (3630)Memory used [KB]: 6780
% 0.15/0.50 % (3630)Time elapsed: 0.060 s
% 0.15/0.50 % (3630)Instructions burned: 121 (million)
% 0.15/0.50 % (3630)------------------------------
% 0.15/0.50 % (3630)------------------------------
% 0.15/0.50 % (3600)Success in time 0.196 s
% 0.15/0.50 % Vampire---4.8 exiting
%------------------------------------------------------------------------------