TSTP Solution File: SEU807^2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU807^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 03:51:42 EDT 2024
% Result : Theorem 2.59s 0.76s
% Output : Refutation 2.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU807^2 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 17:55:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 % (21736)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.37 % (21740)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.37 % (21738)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.14/0.37 % (21743)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.37 % (21740)Instruction limit reached!
% 0.14/0.37 % (21740)------------------------------
% 0.14/0.37 % (21740)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (21740)Termination reason: Unknown
% 0.14/0.37 % (21740)Termination phase: Property scanning
% 0.14/0.37
% 0.14/0.37 % (21740)Memory used [KB]: 895
% 0.14/0.37 % (21740)Time elapsed: 0.003 s
% 0.14/0.37 % (21740)Instructions burned: 3 (million)
% 0.14/0.37 % (21740)------------------------------
% 0.14/0.37 % (21740)------------------------------
% 0.14/0.37 % (21743)Instruction limit reached!
% 0.14/0.37 % (21743)------------------------------
% 0.14/0.37 % (21743)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (21743)Termination reason: Unknown
% 0.14/0.37 % (21743)Termination phase: Property scanning
% 0.14/0.37
% 0.14/0.37 % (21743)Memory used [KB]: 1023
% 0.14/0.37 % (21743)Time elapsed: 0.004 s
% 0.14/0.37 % (21743)Instructions burned: 3 (million)
% 0.14/0.37 % (21743)------------------------------
% 0.14/0.37 % (21743)------------------------------
% 0.14/0.38 % (21737)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.38 % (21739)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.38 % (21739)Instruction limit reached!
% 0.14/0.38 % (21739)------------------------------
% 0.14/0.38 % (21739)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (21739)Termination reason: Unknown
% 0.14/0.38 % (21739)Termination phase: Property scanning
% 0.14/0.38
% 0.14/0.38 % (21739)Memory used [KB]: 895
% 0.14/0.38 % (21739)Time elapsed: 0.004 s
% 0.14/0.38 % (21739)Instructions burned: 2 (million)
% 0.14/0.38 % (21739)------------------------------
% 0.14/0.38 % (21739)------------------------------
% 0.14/0.38 % (21737)Instruction limit reached!
% 0.14/0.38 % (21737)------------------------------
% 0.14/0.38 % (21737)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (21737)Termination reason: Unknown
% 0.14/0.38 % (21737)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (21737)Memory used [KB]: 5500
% 0.14/0.38 % (21737)Time elapsed: 0.004 s
% 0.14/0.38 % (21737)Instructions burned: 4 (million)
% 0.14/0.38 % (21737)------------------------------
% 0.14/0.38 % (21737)------------------------------
% 0.14/0.39 % (21742)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.39 % (21744)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.14/0.39 % (21741)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.14/0.39 % (21745)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.14/0.39 % (21738)Instruction limit reached!
% 0.14/0.39 % (21738)------------------------------
% 0.14/0.39 % (21738)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (21738)Termination reason: Unknown
% 0.14/0.39 % (21738)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (21738)Memory used [KB]: 5628
% 0.14/0.39 % (21738)Time elapsed: 0.021 s
% 0.14/0.39 % (21738)Instructions burned: 28 (million)
% 0.14/0.39 % (21738)------------------------------
% 0.14/0.39 % (21738)------------------------------
% 0.14/0.40 % (21745)Instruction limit reached!
% 0.14/0.40 % (21745)------------------------------
% 0.14/0.40 % (21745)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (21745)Termination reason: Unknown
% 0.14/0.40 % (21745)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (21745)Memory used [KB]: 5628
% 0.14/0.40 % (21745)Time elapsed: 0.012 s
% 0.14/0.40 % (21745)Instructions burned: 15 (million)
% 0.14/0.40 % (21747)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)
% 0.14/0.40 % (21745)------------------------------
% 0.14/0.40 % (21745)------------------------------
% 0.14/0.40 % (21748)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.41 % (21744)Instruction limit reached!
% 0.21/0.41 % (21744)------------------------------
% 0.21/0.41 % (21744)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (21744)Termination reason: Unknown
% 0.21/0.41 % (21744)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (21744)Memory used [KB]: 5628
% 0.21/0.41 % (21744)Time elapsed: 0.024 s
% 0.21/0.41 % (21744)Instructions burned: 38 (million)
% 0.21/0.41 % (21744)------------------------------
% 0.21/0.41 % (21744)------------------------------
% 0.21/0.41 % (21748)Instruction limit reached!
% 0.21/0.41 % (21748)------------------------------
% 0.21/0.41 % (21748)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (21748)Termination reason: Unknown
% 0.21/0.41 % (21748)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (21748)Memory used [KB]: 1023
% 0.21/0.41 % (21748)Time elapsed: 0.007 s
% 0.21/0.41 % (21748)Instructions burned: 8 (million)
% 0.21/0.41 % (21748)------------------------------
% 0.21/0.41 % (21748)------------------------------
% 0.21/0.41 % (21742)Instruction limit reached!
% 0.21/0.41 % (21742)------------------------------
% 0.21/0.41 % (21742)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (21742)Termination reason: Unknown
% 0.21/0.41 % (21742)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (21742)Memory used [KB]: 5628
% 0.21/0.41 % (21742)Time elapsed: 0.014 s
% 0.21/0.41 % (21742)Instructions burned: 18 (million)
% 0.21/0.41 % (21742)------------------------------
% 0.21/0.41 % (21742)------------------------------
% 0.21/0.41 % (21746)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)
% 0.21/0.41 % (21746)Instruction limit reached!
% 0.21/0.41 % (21746)------------------------------
% 0.21/0.41 % (21746)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (21746)Termination reason: Unknown
% 0.21/0.41 % (21746)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (21746)Memory used [KB]: 1023
% 0.21/0.41 % (21746)Time elapsed: 0.004 s
% 0.21/0.41 % (21746)Instructions burned: 4 (million)
% 0.21/0.41 % (21746)------------------------------
% 0.21/0.41 % (21746)------------------------------
% 0.21/0.41 % (21749)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.42 % (21750)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.42 % (21752)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.42 % (21750)Instruction limit reached!
% 0.21/0.42 % (21750)------------------------------
% 0.21/0.42 % (21750)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (21750)Termination reason: Unknown
% 0.21/0.42 % (21750)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (21750)Memory used [KB]: 1023
% 0.21/0.42 % (21750)Time elapsed: 0.003 s
% 0.21/0.42 % (21750)Instructions burned: 3 (million)
% 0.21/0.42 % (21750)------------------------------
% 0.21/0.42 % (21750)------------------------------
% 0.21/0.42 % (21751)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.42 % (21749)Instruction limit reached!
% 0.21/0.42 % (21749)------------------------------
% 0.21/0.42 % (21749)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (21749)Termination reason: Unknown
% 0.21/0.42 % (21749)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (21749)Memory used [KB]: 5884
% 0.21/0.42 % (21749)Time elapsed: 0.012 s
% 0.21/0.42 % (21749)Instructions burned: 16 (million)
% 0.21/0.42 % (21749)------------------------------
% 0.21/0.42 % (21749)------------------------------
% 0.21/0.43 % (21752)Refutation not found, incomplete strategy
% 0.21/0.43 % (21752)------------------------------
% 0.21/0.43 % (21752)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (21752)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43
% 0.21/0.43 % (21751)Instruction limit reached!
% 0.21/0.43 % (21751)------------------------------
% 0.21/0.43 % (21751)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (21751)Termination reason: Unknown
% 0.21/0.43 % (21751)Termination phase: Function definition elimination
% 0.21/0.43
% 0.21/0.43 % (21751)Memory used [KB]: 1023
% 0.21/0.43 % (21751)Time elapsed: 0.004 s
% 0.21/0.43 % (21751)Instructions burned: 4 (million)
% 0.21/0.43 % (21751)------------------------------
% 0.21/0.43 % (21751)------------------------------
% 0.21/0.43
% 0.21/0.43 % (21752)Memory used [KB]: 5500
% 0.21/0.43 % (21752)Time elapsed: 0.004 s
% 0.21/0.43 % (21752)Instructions burned: 3 (million)
% 0.21/0.43 % (21752)------------------------------
% 0.21/0.43 % (21752)------------------------------
% 0.21/0.43 % (21753)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.43 % (21753)Instruction limit reached!
% 0.21/0.43 % (21753)------------------------------
% 0.21/0.43 % (21753)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (21753)Termination reason: Unknown
% 0.21/0.43 % (21753)Termination phase: Preprocessing 3
% 0.21/0.43
% 0.21/0.43 % (21753)Memory used [KB]: 895
% 0.21/0.43 % (21753)Time elapsed: 0.003 s
% 0.21/0.43 % (21753)Instructions burned: 3 (million)
% 0.21/0.43 % (21753)------------------------------
% 0.21/0.43 % (21753)------------------------------
% 0.21/0.44 % (21754)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.44 % (21755)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.44 % (21756)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.44 % (21754)Instruction limit reached!
% 0.21/0.44 % (21754)------------------------------
% 0.21/0.44 % (21754)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (21754)Termination reason: Unknown
% 0.21/0.44 % (21754)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (21754)Memory used [KB]: 5500
% 0.21/0.44 % (21754)Time elapsed: 0.004 s
% 0.21/0.44 % (21754)Instructions burned: 4 (million)
% 0.21/0.44 % (21754)------------------------------
% 0.21/0.44 % (21754)------------------------------
% 0.21/0.44 % (21757)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.44 % (21758)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.21/0.45 % (21757)Instruction limit reached!
% 0.21/0.45 % (21757)------------------------------
% 0.21/0.45 % (21757)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (21757)Termination reason: Unknown
% 0.21/0.45 % (21757)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (21757)Memory used [KB]: 5500
% 0.21/0.45 % (21757)Time elapsed: 0.005 s
% 0.21/0.45 % (21757)Instructions burned: 6 (million)
% 0.21/0.45 % (21757)------------------------------
% 0.21/0.45 % (21757)------------------------------
% 0.21/0.45 % (21758)Refutation not found, incomplete strategy
% 0.21/0.45 % (21758)------------------------------
% 0.21/0.45 % (21758)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (21758)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 % (21758)Memory used [KB]: 5500
% 0.21/0.45 % (21758)Time elapsed: 0.004 s
% 0.21/0.45 % (21758)Instructions burned: 4 (million)
% 0.21/0.45 % (21758)------------------------------
% 0.21/0.45 % (21758)------------------------------
% 0.21/0.45 % (21755)Instruction limit reached!
% 0.21/0.45 % (21755)------------------------------
% 0.21/0.45 % (21755)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (21755)Termination reason: Unknown
% 0.21/0.45 % (21755)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (21755)Memory used [KB]: 5628
% 0.21/0.45 % (21755)Time elapsed: 0.011 s
% 0.21/0.45 % (21755)Instructions burned: 18 (million)
% 0.21/0.45 % (21755)------------------------------
% 0.21/0.45 % (21755)------------------------------
% 0.21/0.45 % (21759)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.21/0.46 % (21761)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.46 % (21761)Instruction limit reached!
% 0.21/0.46 % (21761)------------------------------
% 0.21/0.46 % (21761)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (21761)Termination reason: Unknown
% 0.21/0.46 % (21761)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (21761)Memory used [KB]: 5500
% 0.21/0.46 % (21761)Time elapsed: 0.004 s
% 0.21/0.46 % (21761)Instructions burned: 8 (million)
% 0.21/0.46 % (21761)------------------------------
% 0.21/0.46 % (21761)------------------------------
% 0.21/0.46 % (21760)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.46 % (21759)Instruction limit reached!
% 0.21/0.46 % (21759)------------------------------
% 0.21/0.46 % (21759)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (21759)Termination reason: Unknown
% 0.21/0.46 % (21759)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (21759)Memory used [KB]: 5628
% 0.21/0.46 % (21759)Time elapsed: 0.011 s
% 0.21/0.46 % (21759)Instructions burned: 23 (million)
% 0.21/0.46 % (21759)------------------------------
% 0.21/0.46 % (21759)------------------------------
% 0.21/0.46 % (21760)Instruction limit reached!
% 0.21/0.46 % (21760)------------------------------
% 0.21/0.46 % (21760)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (21760)Termination reason: Unknown
% 0.21/0.46 % (21760)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (21760)Memory used [KB]: 5500
% 0.21/0.46 % (21760)Time elapsed: 0.005 s
% 0.21/0.46 % (21760)Instructions burned: 7 (million)
% 0.21/0.46 % (21760)------------------------------
% 0.21/0.46 % (21760)------------------------------
% 0.21/0.46 % (21762)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.21/0.47 % (21763)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.21/0.47 % (21764)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.21/0.47 % (21765)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.21/0.47 % (21764)Refutation not found, incomplete strategy
% 0.21/0.47 % (21764)------------------------------
% 0.21/0.47 % (21764)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (21764)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.47
% 0.21/0.47
% 0.21/0.47 % (21764)Memory used [KB]: 5500
% 0.21/0.47 % (21764)Time elapsed: 0.004 s
% 0.21/0.47 % (21764)Instructions burned: 9 (million)
% 0.21/0.47 % (21764)------------------------------
% 0.21/0.47 % (21764)------------------------------
% 0.21/0.47 % (21736)Instruction limit reached!
% 0.21/0.47 % (21736)------------------------------
% 0.21/0.47 % (21736)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (21736)Termination reason: Unknown
% 0.21/0.47 % (21736)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (21736)Memory used [KB]: 6268
% 0.21/0.47 % (21736)Time elapsed: 0.107 s
% 0.21/0.47 % (21736)Instructions burned: 185 (million)
% 0.21/0.47 % (21736)------------------------------
% 0.21/0.47 % (21736)------------------------------
% 0.21/0.48 % (21766)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.21/0.48 % (21767)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.48 % (21767)Instruction limit reached!
% 0.21/0.48 % (21767)------------------------------
% 0.21/0.48 % (21767)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (21767)Termination reason: Unknown
% 0.21/0.48 % (21767)Termination phase: Property scanning
% 0.21/0.48
% 0.21/0.48 % (21767)Memory used [KB]: 1023
% 0.21/0.48 % (21767)Time elapsed: 0.002 s
% 0.21/0.48 % (21767)Instructions burned: 3 (million)
% 0.21/0.48 % (21767)------------------------------
% 0.21/0.48 % (21767)------------------------------
% 0.21/0.49 % (21766)Instruction limit reached!
% 0.21/0.49 % (21766)------------------------------
% 0.21/0.49 % (21766)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (21766)Termination reason: Unknown
% 0.21/0.49 % (21766)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (21766)Memory used [KB]: 5628
% 0.21/0.49 % (21766)Time elapsed: 0.008 s
% 0.21/0.49 % (21766)Instructions burned: 19 (million)
% 0.21/0.49 % (21766)------------------------------
% 0.21/0.49 % (21766)------------------------------
% 0.21/0.49 % (21768)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.21/0.50 % (21768)Refutation not found, incomplete strategy
% 0.21/0.50 % (21768)------------------------------
% 0.21/0.50 % (21768)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (21768)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.50
% 0.21/0.50
% 0.21/0.50 % (21768)Memory used [KB]: 5500
% 0.21/0.50 % (21768)Time elapsed: 0.004 s
% 0.21/0.50 % (21768)Instructions burned: 9 (million)
% 0.21/0.50 % (21768)------------------------------
% 0.21/0.50 % (21768)------------------------------
% 0.21/0.50 % (21769)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.21/0.50 % (21741)Instruction limit reached!
% 0.21/0.50 % (21741)------------------------------
% 0.21/0.50 % (21741)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (21741)Termination reason: Unknown
% 0.21/0.50 % (21741)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (21741)Memory used [KB]: 6268
% 0.21/0.50 % (21741)Time elapsed: 0.138 s
% 0.21/0.50 % (21741)Instructions burned: 277 (million)
% 0.21/0.50 % (21741)------------------------------
% 0.21/0.50 % (21741)------------------------------
% 0.21/0.50 % (21770)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.21/0.51 % (21771)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.51 % (21771)Instruction limit reached!
% 0.21/0.51 % (21771)------------------------------
% 0.21/0.51 % (21771)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.51 % (21771)Termination reason: Unknown
% 0.21/0.51 % (21771)Termination phase: Property scanning
% 0.21/0.51
% 0.21/0.51 % (21771)Memory used [KB]: 1023
% 0.21/0.51 % (21771)Time elapsed: 0.002 s
% 0.21/0.51 % (21771)Instructions burned: 4 (million)
% 0.21/0.51 % (21771)------------------------------
% 0.21/0.51 % (21771)------------------------------
% 0.21/0.52 % (21772)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 0.21/0.53 % (21772)Instruction limit reached!
% 0.21/0.53 % (21772)------------------------------
% 0.21/0.53 % (21772)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.53 % (21772)Termination reason: Unknown
% 0.21/0.53 % (21772)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (21772)Memory used [KB]: 5628
% 0.21/0.53 % (21772)Time elapsed: 0.009 s
% 0.21/0.53 % (21772)Instructions burned: 21 (million)
% 0.21/0.53 % (21772)------------------------------
% 0.21/0.53 % (21772)------------------------------
% 0.21/0.54 % (21773)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 0.21/0.54 % (21769)Instruction limit reached!
% 0.21/0.54 % (21769)------------------------------
% 0.21/0.54 % (21769)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.54 % (21769)Termination reason: Unknown
% 0.21/0.54 % (21769)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (21769)Memory used [KB]: 5628
% 0.21/0.54 % (21769)Time elapsed: 0.044 s
% 0.21/0.54 % (21769)Instructions burned: 129 (million)
% 0.21/0.54 % (21769)------------------------------
% 0.21/0.54 % (21769)------------------------------
% 0.21/0.54 % (21770)Instruction limit reached!
% 0.21/0.54 % (21770)------------------------------
% 0.21/0.54 % (21770)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.54 % (21770)Termination reason: Unknown
% 0.21/0.54 % (21770)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (21770)Memory used [KB]: 5756
% 0.21/0.54 % (21770)Time elapsed: 0.038 s
% 0.21/0.54 % (21770)Instructions burned: 100 (million)
% 0.21/0.54 % (21770)------------------------------
% 0.21/0.54 % (21770)------------------------------
% 0.21/0.55 % (21774)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)
% 0.21/0.55 % (21775)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)
% 0.21/0.56 % (21775)Instruction limit reached!
% 0.21/0.56 % (21775)------------------------------
% 0.21/0.56 % (21775)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.56 % (21775)Termination reason: Unknown
% 0.21/0.56 % (21775)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (21775)Memory used [KB]: 5628
% 0.21/0.56 % (21775)Time elapsed: 0.036 s
% 0.21/0.56 % (21775)Instructions burned: 39 (million)
% 0.21/0.56 % (21775)------------------------------
% 0.21/0.56 % (21775)------------------------------
% 0.21/0.57 % (21773)Instruction limit reached!
% 0.21/0.57 % (21773)------------------------------
% 0.21/0.57 % (21773)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.57 % (21773)Termination reason: Unknown
% 0.21/0.57 % (21773)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (21773)Memory used [KB]: 6012
% 0.21/0.57 % (21773)Time elapsed: 0.057 s
% 0.21/0.57 % (21773)Instructions burned: 86 (million)
% 0.21/0.57 % (21773)------------------------------
% 0.21/0.57 % (21773)------------------------------
% 0.21/0.57 % (21776)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)
% 0.21/0.57 % (21776)Refutation not found, incomplete strategy
% 0.21/0.57 % (21776)------------------------------
% 0.21/0.57 % (21776)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.57 % (21776)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.57
% 0.21/0.57
% 0.21/0.57 % (21776)Memory used [KB]: 5500
% 0.21/0.57 % (21776)Time elapsed: 0.003 s
% 0.21/0.57 % (21776)Instructions burned: 6 (million)
% 0.21/0.57 % (21776)------------------------------
% 0.21/0.57 % (21776)------------------------------
% 0.21/0.58 % (21777)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)
% 0.21/0.58 % (21778)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 (2997ds/98Mi)
% 0.21/0.60 % (21777)Instruction limit reached!
% 0.21/0.60 % (21777)------------------------------
% 0.21/0.60 % (21777)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.60 % (21777)Termination reason: Unknown
% 0.21/0.60 % (21777)Termination phase: Saturation
% 0.21/0.60
% 0.21/0.60 % (21777)Memory used [KB]: 5756
% 0.21/0.60 % (21777)Time elapsed: 0.041 s
% 0.21/0.60 % (21777)Instructions burned: 47 (million)
% 0.21/0.60 % (21777)------------------------------
% 0.21/0.60 % (21777)------------------------------
% 1.95/0.60 % (21774)Instruction limit reached!
% 1.95/0.60 % (21774)------------------------------
% 1.95/0.60 % (21774)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.95/0.60 % (21774)Termination reason: Unknown
% 1.95/0.60 % (21774)Termination phase: Saturation
% 1.95/0.60
% 1.95/0.60 % (21774)Memory used [KB]: 5756
% 1.95/0.60 % (21774)Time elapsed: 0.073 s
% 1.95/0.60 % (21774)Instructions burned: 107 (million)
% 1.95/0.60 % (21774)------------------------------
% 1.95/0.60 % (21774)------------------------------
% 1.95/0.60 % (21762)Instruction limit reached!
% 1.95/0.60 % (21762)------------------------------
% 1.95/0.60 % (21762)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.95/0.60 % (21762)Termination reason: Unknown
% 1.95/0.60 % (21762)Termination phase: Saturation
% 1.95/0.60
% 1.95/0.60 % (21762)Memory used [KB]: 6012
% 1.95/0.60 % (21762)Time elapsed: 0.142 s
% 1.95/0.60 % (21762)Instructions burned: 377 (million)
% 1.95/0.60 % (21762)------------------------------
% 1.95/0.60 % (21762)------------------------------
% 1.95/0.61 % (21779)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 (2997ds/507Mi)
% 1.95/0.61 % (21780)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 (2997ds/149Mi)
% 1.95/0.61 % (21781)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 2.10/0.62 % (21778)Instruction limit reached!
% 2.10/0.62 % (21778)------------------------------
% 2.10/0.62 % (21778)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.10/0.62 % (21778)Termination reason: Unknown
% 2.10/0.62 % (21778)Termination phase: Saturation
% 2.10/0.62
% 2.10/0.62 % (21778)Memory used [KB]: 1279
% 2.10/0.62 % (21778)Time elapsed: 0.060 s
% 2.10/0.62 % (21778)Instructions burned: 98 (million)
% 2.10/0.62 % (21778)------------------------------
% 2.10/0.62 % (21778)------------------------------
% 2.13/0.63 % (21782)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 (2997ds/6Mi)
% 2.13/0.63 % (21781)Instruction limit reached!
% 2.13/0.63 % (21781)------------------------------
% 2.13/0.63 % (21781)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.13/0.63 % (21781)Termination reason: Unknown
% 2.13/0.63 % (21781)Termination phase: Saturation
% 2.13/0.63
% 2.13/0.63 % (21781)Memory used [KB]: 5628
% 2.13/0.63 % (21781)Time elapsed: 0.016 s
% 2.13/0.63 % (21781)Instructions burned: 41 (million)
% 2.13/0.63 % (21781)------------------------------
% 2.13/0.63 % (21781)------------------------------
% 2.13/0.63 % (21782)Instruction limit reached!
% 2.13/0.63 % (21782)------------------------------
% 2.13/0.63 % (21782)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.13/0.63 % (21782)Termination reason: Unknown
% 2.13/0.63 % (21782)Termination phase: Saturation
% 2.13/0.63
% 2.13/0.63 % (21782)Memory used [KB]: 9978
% 2.13/0.63 % (21782)Time elapsed: 0.004 s
% 2.13/0.63 % (21782)Instructions burned: 7 (million)
% 2.13/0.63 % (21782)------------------------------
% 2.13/0.63 % (21782)------------------------------
% 2.13/0.64 % (21783)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 (2997ds/1087Mi)
% 2.13/0.64 % (21784)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 2.13/0.65 % (21784)Instruction limit reached!
% 2.13/0.65 % (21784)------------------------------
% 2.13/0.65 % (21784)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.13/0.65 % (21784)Termination reason: Unknown
% 2.13/0.65 % (21784)Termination phase: Saturation
% 2.13/0.65
% 2.13/0.65 % (21784)Memory used [KB]: 5756
% 2.13/0.65 % (21784)Time elapsed: 0.017 s
% 2.13/0.65 % (21784)Instructions burned: 48 (million)
% 2.13/0.65 % (21784)------------------------------
% 2.13/0.65 % (21784)------------------------------
% 2.13/0.66 % (21785)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)
% 2.13/0.67 % (21785)Refutation not found, incomplete strategy
% 2.13/0.67 % (21785)------------------------------
% 2.13/0.67 % (21785)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.13/0.67 % (21785)Termination reason: Refutation not found, incomplete strategy
% 2.13/0.67
% 2.13/0.67
% 2.13/0.67 % (21785)Memory used [KB]: 1023
% 2.13/0.67 % (21785)Time elapsed: 0.004 s
% 2.13/0.67 % (21785)Instructions burned: 5 (million)
% 2.13/0.67 % (21785)------------------------------
% 2.13/0.67 % (21785)------------------------------
% 2.13/0.67 % (21780)Instruction limit reached!
% 2.13/0.67 % (21780)------------------------------
% 2.13/0.67 % (21780)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.13/0.67 % (21780)Termination reason: Unknown
% 2.13/0.67 % (21780)Termination phase: Saturation
% 2.13/0.67
% 2.13/0.67 % (21780)Memory used [KB]: 5884
% 2.13/0.67 % (21780)Time elapsed: 0.089 s
% 2.13/0.67 % (21780)Instructions burned: 150 (million)
% 2.13/0.67 % (21780)------------------------------
% 2.13/0.67 % (21780)------------------------------
% 2.13/0.68 % (21786)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 (2996ds/432Mi)
% 2.13/0.69 % (21787)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2996ds/62Mi)
% 2.59/0.71 % (21756)Instruction limit reached!
% 2.59/0.71 % (21756)------------------------------
% 2.59/0.71 % (21756)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.59/0.71 % (21756)Termination reason: Unknown
% 2.59/0.71 % (21756)Termination phase: Saturation
% 2.59/0.71
% 2.59/0.71 % (21756)Memory used [KB]: 6652
% 2.59/0.71 % (21756)Time elapsed: 0.275 s
% 2.59/0.71 % (21756)Instructions burned: 711 (million)
% 2.59/0.71 % (21756)------------------------------
% 2.59/0.71 % (21756)------------------------------
% 2.59/0.72 % (21788)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2996ds/31Mi)
% 2.59/0.73 % (21787)Instruction limit reached!
% 2.59/0.73 % (21787)------------------------------
% 2.59/0.73 % (21787)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.59/0.73 % (21787)Termination reason: Unknown
% 2.59/0.73 % (21787)Termination phase: Saturation
% 2.59/0.73
% 2.59/0.73 % (21787)Memory used [KB]: 5628
% 2.59/0.73 % (21787)Time elapsed: 0.035 s
% 2.59/0.73 % (21787)Instructions burned: 62 (million)
% 2.59/0.73 % (21787)------------------------------
% 2.59/0.73 % (21787)------------------------------
% 2.59/0.73 % (21788)Instruction limit reached!
% 2.59/0.73 % (21788)------------------------------
% 2.59/0.73 % (21788)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.59/0.73 % (21788)Termination reason: Unknown
% 2.59/0.73 % (21788)Termination phase: Saturation
% 2.59/0.73
% 2.59/0.73 % (21788)Memory used [KB]: 5628
% 2.59/0.73 % (21788)Time elapsed: 0.013 s
% 2.59/0.73 % (21788)Instructions burned: 32 (million)
% 2.59/0.73 % (21788)------------------------------
% 2.59/0.73 % (21788)------------------------------
% 2.59/0.74 % (21790)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2996ds/453Mi)
% 2.59/0.75 % (21789)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2996ds/96Mi)
% 2.59/0.75 % (21763)Instruction limit reached!
% 2.59/0.75 % (21763)------------------------------
% 2.59/0.75 % (21763)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.59/0.75 % (21763)Termination reason: Unknown
% 2.59/0.75 % (21763)Termination phase: Saturation
% 2.59/0.75
% 2.59/0.75 % (21763)Memory used [KB]: 6268
% 2.59/0.75 % (21763)Time elapsed: 0.289 s
% 2.59/0.75 % (21763)Instructions burned: 781 (million)
% 2.59/0.75 % (21763)------------------------------
% 2.59/0.75 % (21763)------------------------------
% 2.59/0.76 % (21783)First to succeed.
% 2.59/0.76 % (21747)Instruction limit reached!
% 2.59/0.76 % (21747)------------------------------
% 2.59/0.76 % (21747)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.59/0.76 % (21747)Termination reason: Unknown
% 2.59/0.76 % (21783)Refutation found. Thanks to Tanya!
% 2.59/0.76 % SZS status Theorem for theBenchmark
% 2.59/0.76 % SZS output start Proof for theBenchmark
% 2.59/0.76 thf(func_def_0, type, in: $i > $i > $o).
% 2.59/0.76 thf(func_def_2, type, setadjoin: $i > $i > $i).
% 2.59/0.76 thf(func_def_11, type, sP0: $i > $o).
% 2.59/0.76 thf(func_def_21, type, sK10: $i > $i > $i).
% 2.59/0.76 thf(func_def_22, type, sK11: $i > $i).
% 2.59/0.76 thf(f1157,plain,(
% 2.59/0.76 $false),
% 2.59/0.76 inference(subsumption_resolution,[],[f1153,f71])).
% 2.59/0.76 thf(f71,plain,(
% 2.59/0.76 ($true = (in @ sK8 @ sK9))),
% 2.59/0.76 inference(cnf_transformation,[],[f42])).
% 2.59/0.76 thf(f42,plain,(
% 2.59/0.76 (in__Cong = $true) & (foundationAx = $true) & (($true = (in @ sK9 @ sK8)) & ($true = (in @ sK8 @ sK9))) & (upairset2E = $true) & (setadjoinIR = $true) & (setadjoinIL = $true)),
% 2.59/0.76 inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f40,f41])).
% 2.59/0.76 thf(f41,plain,(
% 2.59/0.76 ? [X0,X1] : (((in @ X1 @ X0) = $true) & ($true = (in @ X0 @ X1))) => (($true = (in @ sK9 @ sK8)) & ($true = (in @ sK8 @ sK9)))),
% 2.59/0.76 introduced(choice_axiom,[])).
% 2.59/0.76 thf(f40,plain,(
% 2.59/0.76 (in__Cong = $true) & (foundationAx = $true) & ? [X0,X1] : (((in @ X1 @ X0) = $true) & ($true = (in @ X0 @ X1))) & (upairset2E = $true) & (setadjoinIR = $true) & (setadjoinIL = $true)),
% 2.59/0.76 inference(rectify,[],[f23])).
% 2.59/0.76 thf(f23,plain,(
% 2.59/0.76 (in__Cong = $true) & (foundationAx = $true) & ? [X1,X0] : (($true = (in @ X0 @ X1)) & ((in @ X1 @ X0) = $true)) & (upairset2E = $true) & (setadjoinIR = $true) & (setadjoinIL = $true)),
% 2.59/0.76 inference(flattening,[],[f22])).
% 2.59/0.76 thf(f22,plain,(
% 2.59/0.76 ((((? [X1,X0] : (($true = (in @ X0 @ X1)) & ((in @ X1 @ X0) = $true)) & (upairset2E = $true)) & (in__Cong = $true)) & (setadjoinIR = $true)) & (setadjoinIL = $true)) & (foundationAx = $true)),
% 2.59/0.76 inference(ennf_transformation,[],[f21])).
% 2.59/0.76 thf(f21,plain,(
% 2.59/0.76 ~((foundationAx = $true) => ((setadjoinIL = $true) => ((setadjoinIR = $true) => ((in__Cong = $true) => ((upairset2E = $true) => ! [X0,X1] : (((in @ X1 @ X0) = $true) => ($true != (in @ X0 @ X1))))))))),
% 2.59/0.76 inference(flattening,[],[f20])).
% 2.59/0.76 thf(f20,plain,(
% 2.59/0.76 ~((foundationAx = $true) => ((setadjoinIL = $true) => ((setadjoinIR = $true) => ((in__Cong = $true) => ((upairset2E = $true) => ! [X0,X1] : (((in @ X1 @ X0) = $true) => ~($true = (in @ X0 @ X1))))))))),
% 2.59/0.76 inference(fool_elimination,[],[f19])).
% 2.59/0.76 thf(f19,plain,(
% 2.59/0.76 ~(foundationAx => (setadjoinIL => (setadjoinIR => (in__Cong => (upairset2E => ! [X0,X1] : ((in @ X1 @ X0) => ~(in @ X0 @ X1)))))))),
% 2.59/0.76 inference(rectify,[],[f7])).
% 2.59/0.76 thf(f7,negated_conjecture,(
% 2.59/0.76 ~(foundationAx => (setadjoinIL => (setadjoinIR => (in__Cong => (upairset2E => ! [X2,X0] : ((in @ X0 @ X2) => ~(in @ X2 @ X0)))))))),
% 2.59/0.76 inference(negated_conjecture,[],[f6])).
% 2.59/0.76 thf(f6,conjecture,(
% 2.59/0.76 foundationAx => (setadjoinIL => (setadjoinIR => (in__Cong => (upairset2E => ! [X2,X0] : ((in @ X0 @ X2) => ~(in @ X2 @ X0))))))),
% 2.59/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notinself2)).
% 2.59/0.76 thf(f1153,plain,(
% 2.59/0.76 ($true != (in @ sK8 @ sK9))),
% 2.59/0.76 inference(trivial_inequality_removal,[],[f1150])).
% 2.59/0.76 thf(f1150,plain,(
% 2.59/0.76 ($true != (in @ sK8 @ sK9)) | ($true != $true)),
% 2.59/0.76 inference(superposition,[],[f1133,f72])).
% 2.59/0.76 thf(f72,plain,(
% 2.59/0.76 ($true = (in @ sK9 @ sK8))),
% 2.59/0.76 inference(cnf_transformation,[],[f42])).
% 2.59/0.76 thf(f1133,plain,(
% 2.59/0.76 ( ! [X0 : $i,X1 : $i] : (($true != (in @ X0 @ X1)) | ((in @ X1 @ X0) != $true)) )),
% 2.59/0.76 inference(trivial_inequality_removal,[],[f1129])).
% 2.59/0.76 thf(f1129,plain,(
% 2.59/0.76 ( ! [X0 : $i,X1 : $i] : (((in @ X1 @ X0) != $true) | ($true != (in @ X0 @ X1)) | ($true != $true)) )),
% 2.59/0.76 inference(superposition,[],[f748,f107])).
% 2.59/0.76 thf(f107,plain,(
% 2.59/0.76 ( ! [X2 : $i,X3 : $i] : (($true = (in @ X3 @ (setadjoin @ X3 @ X2)))) )),
% 2.59/0.76 inference(trivial_inequality_removal,[],[f99])).
% 2.59/0.76 thf(f99,plain,(
% 2.59/0.76 ( ! [X2 : $i,X3 : $i] : (($true != $true) | ($true = (in @ X3 @ (setadjoin @ X3 @ X2)))) )),
% 2.59/0.76 inference(definition_unfolding,[],[f82,f68])).
% 2.59/0.76 thf(f68,plain,(
% 2.59/0.76 (setadjoinIL = $true)),
% 2.59/0.76 inference(cnf_transformation,[],[f42])).
% 2.59/0.76 thf(f82,plain,(
% 2.59/0.76 ( ! [X2 : $i,X3 : $i] : (($true = (in @ X3 @ (setadjoin @ X3 @ X2))) | (setadjoinIL != $true)) )),
% 2.59/0.76 inference(cnf_transformation,[],[f56])).
% 2.59/0.76 thf(f56,plain,(
% 2.59/0.76 ((setadjoinIL = $true) | ($true != (in @ sK15 @ (setadjoin @ sK15 @ sK14)))) & (! [X2,X3] : ($true = (in @ X3 @ (setadjoin @ X3 @ X2))) | (setadjoinIL != $true))),
% 2.59/0.76 inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f54,f55])).
% 2.59/0.76 thf(f55,plain,(
% 2.59/0.76 ? [X0,X1] : ($true != (in @ X1 @ (setadjoin @ X1 @ X0))) => ($true != (in @ sK15 @ (setadjoin @ sK15 @ sK14)))),
% 2.59/0.76 introduced(choice_axiom,[])).
% 2.59/0.76 thf(f54,plain,(
% 2.59/0.76 ((setadjoinIL = $true) | ? [X0,X1] : ($true != (in @ X1 @ (setadjoin @ X1 @ X0)))) & (! [X2,X3] : ($true = (in @ X3 @ (setadjoin @ X3 @ X2))) | (setadjoinIL != $true))),
% 2.59/0.76 inference(rectify,[],[f53])).
% 2.59/0.76 thf(f53,plain,(
% 2.59/0.76 ((setadjoinIL = $true) | ? [X0,X1] : ($true != (in @ X1 @ (setadjoin @ X1 @ X0)))) & (! [X0,X1] : ($true = (in @ X1 @ (setadjoin @ X1 @ X0))) | (setadjoinIL != $true))),
% 2.59/0.76 inference(nnf_transformation,[],[f10])).
% 2.59/0.76 thf(f10,plain,(
% 2.59/0.76 (setadjoinIL = $true) <=> ! [X0,X1] : ($true = (in @ X1 @ (setadjoin @ X1 @ X0)))),
% 2.59/0.76 inference(fool_elimination,[],[f9])).
% 2.59/0.76 thf(f9,plain,(
% 2.59/0.76 (! [X0,X1] : (in @ X1 @ (setadjoin @ X1 @ X0)) = setadjoinIL)),
% 2.59/0.76 inference(rectify,[],[f2])).
% 2.59/0.76 thf(f2,axiom,(
% 2.59/0.76 (! [X3,X1] : (in @ X1 @ (setadjoin @ X1 @ X3)) = setadjoinIL)),
% 2.59/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinIL)).
% 2.59/0.76 thf(f748,plain,(
% 2.59/0.76 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (in @ X0 @ (setadjoin @ X2 @ emptyset))) | ($true != (in @ X0 @ X1)) | ((in @ X1 @ X2) != $true)) )),
% 2.59/0.76 inference(trivial_inequality_removal,[],[f746])).
% 2.59/0.76 thf(f746,plain,(
% 2.59/0.76 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (in @ X0 @ X1)) | ($true != (in @ X0 @ (setadjoin @ X2 @ emptyset))) | ($true != $true) | ((in @ X1 @ X2) != $true)) )),
% 2.59/0.76 inference(superposition,[],[f291,f108])).
% 2.59/0.76 thf(f108,plain,(
% 2.59/0.76 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (in @ X2 @ (setadjoin @ X1 @ X0))) | ((in @ X2 @ X0) != $true)) )),
% 2.59/0.76 inference(trivial_inequality_removal,[],[f88])).
% 2.59/0.76 thf(f88,plain,(
% 2.59/0.76 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (in @ X2 @ (setadjoin @ X1 @ X0))) | ($true != $true) | ((in @ X2 @ X0) != $true)) )),
% 2.59/0.76 inference(definition_unfolding,[],[f63,f69])).
% 2.59/0.76 thf(f69,plain,(
% 2.59/0.76 (setadjoinIR = $true)),
% 2.59/0.76 inference(cnf_transformation,[],[f42])).
% 2.59/0.76 thf(f63,plain,(
% 2.59/0.76 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ X2 @ X0) != $true) | ($true = (in @ X2 @ (setadjoin @ X1 @ X0))) | (setadjoinIR != $true)) )),
% 2.59/0.76 inference(cnf_transformation,[],[f34])).
% 2.59/0.76 thf(f34,plain,(
% 2.59/0.76 (! [X0,X1,X2] : (((in @ X2 @ X0) != $true) | ($true = (in @ X2 @ (setadjoin @ X1 @ X0)))) | (setadjoinIR != $true)) & ((setadjoinIR = $true) | (($true = (in @ sK3 @ sK1)) & ($true != (in @ sK3 @ (setadjoin @ sK2 @ sK1)))))),
% 2.59/0.76 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f32,f33])).
% 2.59/0.76 thf(f33,plain,(
% 2.59/0.76 ? [X3,X4,X5] : (($true = (in @ X5 @ X3)) & ($true != (in @ X5 @ (setadjoin @ X4 @ X3)))) => (($true = (in @ sK3 @ sK1)) & ($true != (in @ sK3 @ (setadjoin @ sK2 @ sK1))))),
% 2.59/0.76 introduced(choice_axiom,[])).
% 2.59/0.76 thf(f32,plain,(
% 2.59/0.76 (! [X0,X1,X2] : (((in @ X2 @ X0) != $true) | ($true = (in @ X2 @ (setadjoin @ X1 @ X0)))) | (setadjoinIR != $true)) & ((setadjoinIR = $true) | ? [X3,X4,X5] : (($true = (in @ X5 @ X3)) & ($true != (in @ X5 @ (setadjoin @ X4 @ X3)))))),
% 2.59/0.76 inference(rectify,[],[f31])).
% 2.59/0.76 thf(f31,plain,(
% 2.59/0.76 (! [X2,X1,X0] : (((in @ X0 @ X2) != $true) | ($true = (in @ X0 @ (setadjoin @ X1 @ X2)))) | (setadjoinIR != $true)) & ((setadjoinIR = $true) | ? [X2,X1,X0] : (((in @ X0 @ X2) = $true) & ($true != (in @ X0 @ (setadjoin @ X1 @ X2)))))),
% 2.59/0.76 inference(nnf_transformation,[],[f27])).
% 2.59/0.76 thf(f27,plain,(
% 2.59/0.76 ! [X2,X1,X0] : (((in @ X0 @ X2) != $true) | ($true = (in @ X0 @ (setadjoin @ X1 @ X2)))) <=> (setadjoinIR = $true)),
% 2.59/0.76 inference(ennf_transformation,[],[f16])).
% 2.59/0.76 thf(f16,plain,(
% 2.59/0.76 (setadjoinIR = $true) <=> ! [X0,X1,X2] : (((in @ X0 @ X2) = $true) => ($true = (in @ X0 @ (setadjoin @ X1 @ X2))))),
% 2.59/0.76 inference(fool_elimination,[],[f15])).
% 2.59/0.76 thf(f15,plain,(
% 2.59/0.76 (! [X0,X1,X2] : ((in @ X0 @ X2) => (in @ X0 @ (setadjoin @ X1 @ X2))) = setadjoinIR)),
% 2.59/0.76 inference(rectify,[],[f3])).
% 2.59/0.76 thf(f3,axiom,(
% 2.59/0.76 (! [X3,X1,X0] : ((in @ X3 @ X0) => (in @ X3 @ (setadjoin @ X1 @ X0))) = setadjoinIR)),
% 2.59/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinIR)).
% 2.59/0.76 thf(f291,plain,(
% 2.59/0.76 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (in @ X2 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) | ($true != (in @ X0 @ X1)) | ((in @ X2 @ X0) != $true)) )),
% 2.59/0.76 inference(superposition,[],[f131,f254])).
% 2.59/0.76 thf(f254,plain,(
% 2.59/0.76 ( ! [X0 : $i,X1 : $i] : (((sK11 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset))) = X0) | ($true != (in @ X0 @ X1))) )),
% 2.59/0.76 inference(trivial_inequality_removal,[],[f249])).
% 2.59/0.76 thf(f249,plain,(
% 2.59/0.76 ( ! [X0 : $i,X1 : $i] : (($true != (in @ X0 @ X1)) | ($true != $true) | ((sK11 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset))) = X0)) )),
% 2.59/0.76 inference(superposition,[],[f146,f107])).
% 2.59/0.76 thf(f146,plain,(
% 2.59/0.76 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (in @ X2 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) | ($true != (in @ X2 @ X1)) | ((sK11 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset))) = X0)) )),
% 2.59/0.76 inference(superposition,[],[f131,f124])).
% 2.59/0.76 thf(f124,plain,(
% 2.59/0.76 ( ! [X0 : $i,X1 : $i] : (((sK11 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset))) = X1) | ((sK11 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset))) = X0)) )),
% 2.59/0.76 inference(subsumption_resolution,[],[f123,f115])).
% 2.59/0.76 thf(f115,plain,(
% 2.59/0.76 ( ! [X0 : $i,X1 : $i] : (($true = (sP0 @ (setadjoin @ X0 @ X1)))) )),
% 2.59/0.76 inference(trivial_inequality_removal,[],[f114])).
% 2.59/0.76 thf(f114,plain,(
% 2.59/0.76 ( ! [X0 : $i,X1 : $i] : (($true = (sP0 @ (setadjoin @ X0 @ X1))) | ($true != $true)) )),
% 2.59/0.76 inference(superposition,[],[f106,f107])).
% 2.59/0.76 thf(f106,plain,(
% 2.59/0.76 ( ! [X0 : $i,X1 : $i] : (((in @ X1 @ X0) != $true) | ($true = (sP0 @ X0))) )),
% 2.59/0.76 inference(trivial_inequality_removal,[],[f95])).
% 2.59/0.76 thf(f95,plain,(
% 2.59/0.76 ( ! [X0 : $i,X1 : $i] : (((in @ X1 @ X0) != $true) | ($true != $true) | ($true = (sP0 @ X0))) )),
% 2.59/0.76 inference(definition_unfolding,[],[f81,f73])).
% 2.59/0.76 thf(f73,plain,(
% 2.59/0.76 (foundationAx = $true)),
% 2.59/0.76 inference(cnf_transformation,[],[f42])).
% 2.59/0.76 thf(f81,plain,(
% 2.59/0.76 ( ! [X0 : $i,X1 : $i] : (($true = (sP0 @ X0)) | ((in @ X1 @ X0) != $true) | (foundationAx != $true)) )),
% 2.59/0.76 inference(cnf_transformation,[],[f52])).
% 2.59/0.76 thf(f52,plain,(
% 2.59/0.76 (! [X0] : (($true = (sP0 @ X0)) | ! [X1] : ((in @ X1 @ X0) != $true)) | (foundationAx != $true)) & ((foundationAx = $true) | (($true != (sP0 @ sK12)) & ($true = (in @ sK13 @ sK12))))),
% 2.59/0.76 inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f49,f51,f50])).
% 2.59/0.76 thf(f50,plain,(
% 2.59/0.76 ? [X2] : (((sP0 @ X2) != $true) & ? [X3] : ((in @ X3 @ X2) = $true)) => (($true != (sP0 @ sK12)) & ? [X3] : ($true = (in @ X3 @ sK12)))),
% 2.59/0.76 introduced(choice_axiom,[])).
% 2.59/0.76 thf(f51,plain,(
% 2.59/0.76 ? [X3] : ($true = (in @ X3 @ sK12)) => ($true = (in @ sK13 @ sK12))),
% 2.59/0.76 introduced(choice_axiom,[])).
% 2.59/0.76 thf(f49,plain,(
% 2.59/0.76 (! [X0] : (($true = (sP0 @ X0)) | ! [X1] : ((in @ X1 @ X0) != $true)) | (foundationAx != $true)) & ((foundationAx = $true) | ? [X2] : (((sP0 @ X2) != $true) & ? [X3] : ((in @ X3 @ X2) = $true)))),
% 2.59/0.76 inference(rectify,[],[f48])).
% 2.59/0.76 thf(f48,plain,(
% 2.59/0.76 (! [X0] : (($true = (sP0 @ X0)) | ! [X1] : ((in @ X1 @ X0) != $true)) | (foundationAx != $true)) & ((foundationAx = $true) | ? [X0] : (($true != (sP0 @ X0)) & ? [X1] : ((in @ X1 @ X0) = $true)))),
% 2.59/0.76 inference(nnf_transformation,[],[f30])).
% 2.59/0.76 thf(f30,plain,(
% 2.59/0.76 ! [X0] : (($true = (sP0 @ X0)) | ! [X1] : ((in @ X1 @ X0) != $true)) <=> (foundationAx = $true)),
% 2.59/0.76 inference(definition_folding,[],[f26,f29])).
% 2.59/0.76 thf(f29,plain,(
% 2.59/0.76 ! [X0] : (($true = (sP0 @ X0)) <=> ? [X2] : (((in @ X2 @ X0) = $true) & ! [X3] : (((in @ X3 @ X2) != $true) | ((in @ X3 @ X0) != $true))))),
% 2.59/0.76 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
% 2.59/0.76 thf(f26,plain,(
% 2.59/0.76 ! [X0] : (? [X2] : (((in @ X2 @ X0) = $true) & ! [X3] : (((in @ X3 @ X2) != $true) | ((in @ X3 @ X0) != $true))) | ! [X1] : ((in @ X1 @ X0) != $true)) <=> (foundationAx = $true)),
% 2.59/0.76 inference(ennf_transformation,[],[f14])).
% 2.59/0.76 thf(f14,plain,(
% 2.59/0.76 ! [X0] : (? [X1] : ((in @ X1 @ X0) = $true) => ? [X2] : (((in @ X2 @ X0) = $true) & ~? [X3] : (((in @ X3 @ X2) = $true) & ((in @ X3 @ X0) = $true)))) <=> (foundationAx = $true)),
% 2.59/0.76 inference(fool_elimination,[],[f13])).
% 2.59/0.76 thf(f13,plain,(
% 2.59/0.76 (! [X0] : (? [X1] : (in @ X1 @ X0) => ? [X2] : ((in @ X2 @ X0) & ~? [X3] : ((in @ X3 @ X0) & (in @ X3 @ X2)))) = foundationAx)),
% 2.59/0.76 inference(rectify,[],[f1])).
% 2.59/0.76 thf(f1,axiom,(
% 2.59/0.76 (! [X0] : (? [X1] : (in @ X1 @ X0) => ? [X2] : ((in @ X2 @ X0) & ~? [X1] : ((in @ X1 @ X0) & (in @ X1 @ X2)))) = foundationAx)),
% 2.59/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',foundationAx)).
% 2.59/0.76 thf(f123,plain,(
% 2.59/0.76 ( ! [X0 : $i,X1 : $i] : (((sK11 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset))) = X0) | ((sK11 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset))) = X1) | ($true != (sP0 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset))))) )),
% 2.59/0.76 inference(trivial_inequality_removal,[],[f122])).
% 2.59/0.76 thf(f122,plain,(
% 2.59/0.76 ( ! [X0 : $i,X1 : $i] : (($true != (sP0 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) | ((sK11 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset))) = X0) | ((sK11 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset))) = X1) | ($true != $true)) )),
% 2.59/0.76 inference(superposition,[],[f109,f76])).
% 2.59/0.76 thf(f76,plain,(
% 2.59/0.76 ( ! [X0 : $i] : (($true = (in @ (sK11 @ X0) @ X0)) | ($true != (sP0 @ X0))) )),
% 2.59/0.76 inference(cnf_transformation,[],[f47])).
% 2.59/0.76 thf(f47,plain,(
% 2.59/0.76 ! [X0] : ((($true = (sP0 @ X0)) | ! [X1] : (((in @ X1 @ X0) != $true) | (($true = (in @ (sK10 @ X1 @ X0) @ X1)) & ((in @ (sK10 @ X1 @ X0) @ X0) = $true)))) & ((($true = (in @ (sK11 @ X0) @ X0)) & ! [X4] : (((in @ X4 @ (sK11 @ X0)) != $true) | ((in @ X4 @ X0) != $true))) | ($true != (sP0 @ X0))))),
% 2.59/0.76 inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f44,f46,f45])).
% 2.59/0.76 thf(f45,plain,(
% 2.59/0.76 ! [X0,X1] : (? [X2] : (($true = (in @ X2 @ X1)) & ((in @ X2 @ X0) = $true)) => (($true = (in @ (sK10 @ X1 @ X0) @ X1)) & ((in @ (sK10 @ X1 @ X0) @ X0) = $true)))),
% 2.59/0.76 introduced(choice_axiom,[])).
% 2.59/0.76 thf(f46,plain,(
% 2.59/0.76 ! [X0] : (? [X3] : (((in @ X3 @ X0) = $true) & ! [X4] : (((in @ X4 @ X3) != $true) | ((in @ X4 @ X0) != $true))) => (($true = (in @ (sK11 @ X0) @ X0)) & ! [X4] : (((in @ X4 @ (sK11 @ X0)) != $true) | ((in @ X4 @ X0) != $true))))),
% 2.59/0.76 introduced(choice_axiom,[])).
% 2.59/0.76 thf(f44,plain,(
% 2.59/0.76 ! [X0] : ((($true = (sP0 @ X0)) | ! [X1] : (((in @ X1 @ X0) != $true) | ? [X2] : (($true = (in @ X2 @ X1)) & ((in @ X2 @ X0) = $true)))) & (? [X3] : (((in @ X3 @ X0) = $true) & ! [X4] : (((in @ X4 @ X3) != $true) | ((in @ X4 @ X0) != $true))) | ($true != (sP0 @ X0))))),
% 2.59/0.76 inference(rectify,[],[f43])).
% 2.59/0.76 thf(f43,plain,(
% 2.59/0.76 ! [X0] : ((($true = (sP0 @ X0)) | ! [X2] : (((in @ X2 @ X0) != $true) | ? [X3] : (((in @ X3 @ X2) = $true) & ((in @ X3 @ X0) = $true)))) & (? [X2] : (((in @ X2 @ X0) = $true) & ! [X3] : (((in @ X3 @ X2) != $true) | ((in @ X3 @ X0) != $true))) | ($true != (sP0 @ X0))))),
% 2.59/0.76 inference(nnf_transformation,[],[f29])).
% 2.59/0.76 thf(f109,plain,(
% 2.59/0.76 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true != (in @ X5 @ (setadjoin @ X3 @ (setadjoin @ X4 @ emptyset)))) | (X4 = X5) | (X3 = X5)) )),
% 2.59/0.76 inference(trivial_inequality_removal,[],[f103])).
% 2.59/0.76 thf(f103,plain,(
% 2.59/0.76 ( ! [X3 : $i,X4 : $i,X5 : $i] : ((X3 = X5) | (X4 = X5) | ($true != (in @ X5 @ (setadjoin @ X3 @ (setadjoin @ X4 @ emptyset)))) | ($true != $true)) )),
% 2.59/0.76 inference(definition_unfolding,[],[f84,f70])).
% 2.59/0.76 thf(f70,plain,(
% 2.59/0.76 (upairset2E = $true)),
% 2.59/0.76 inference(cnf_transformation,[],[f42])).
% 2.59/0.76 thf(f84,plain,(
% 2.59/0.76 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true != (in @ X5 @ (setadjoin @ X3 @ (setadjoin @ X4 @ emptyset)))) | (X3 = X5) | (X4 = X5) | (upairset2E != $true)) )),
% 2.59/0.76 inference(cnf_transformation,[],[f60])).
% 2.59/0.76 thf(f60,plain,(
% 2.59/0.76 ((upairset2E = $true) | (($true = (in @ sK18 @ (setadjoin @ sK16 @ (setadjoin @ sK17 @ emptyset)))) & (sK16 != sK18) & (sK17 != sK18))) & (! [X3,X4,X5] : (($true != (in @ X5 @ (setadjoin @ X3 @ (setadjoin @ X4 @ emptyset)))) | (X3 = X5) | (X4 = X5)) | (upairset2E != $true))),
% 2.59/0.76 inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18])],[f58,f59])).
% 2.59/0.76 thf(f59,plain,(
% 2.59/0.76 ? [X0,X1,X2] : (($true = (in @ X2 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) & (X0 != X2) & (X1 != X2)) => (($true = (in @ sK18 @ (setadjoin @ sK16 @ (setadjoin @ sK17 @ emptyset)))) & (sK16 != sK18) & (sK17 != sK18))),
% 2.59/0.76 introduced(choice_axiom,[])).
% 2.59/0.76 thf(f58,plain,(
% 2.59/0.76 ((upairset2E = $true) | ? [X0,X1,X2] : (($true = (in @ X2 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) & (X0 != X2) & (X1 != X2))) & (! [X3,X4,X5] : (($true != (in @ X5 @ (setadjoin @ X3 @ (setadjoin @ X4 @ emptyset)))) | (X3 = X5) | (X4 = X5)) | (upairset2E != $true))),
% 2.59/0.76 inference(rectify,[],[f57])).
% 2.59/0.76 thf(f57,plain,(
% 2.59/0.76 ((upairset2E = $true) | ? [X1,X0,X2] : (($true = (in @ X2 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)))) & (X1 != X2) & (X0 != X2))) & (! [X1,X0,X2] : (($true != (in @ X2 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)))) | (X1 = X2) | (X0 = X2)) | (upairset2E != $true))),
% 2.59/0.76 inference(nnf_transformation,[],[f25])).
% 2.59/0.76 thf(f25,plain,(
% 2.59/0.76 (upairset2E = $true) <=> ! [X1,X0,X2] : (($true != (in @ X2 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)))) | (X1 = X2) | (X0 = X2))),
% 2.59/0.76 inference(flattening,[],[f24])).
% 2.59/0.76 thf(f24,plain,(
% 2.59/0.76 ! [X0,X2,X1] : (((X1 = X2) | (X0 = X2)) | ($true != (in @ X2 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))))) <=> (upairset2E = $true)),
% 2.59/0.76 inference(ennf_transformation,[],[f18])).
% 2.59/0.76 thf(f18,plain,(
% 2.59/0.76 ! [X0,X2,X1] : (($true = (in @ X2 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)))) => ((X1 = X2) | (X0 = X2))) <=> (upairset2E = $true)),
% 2.59/0.76 inference(fool_elimination,[],[f17])).
% 2.59/0.76 thf(f17,plain,(
% 2.59/0.76 (! [X0,X1,X2] : ((in @ X2 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))) => ((X0 = X2) | (X1 = X2))) = upairset2E)),
% 2.59/0.76 inference(rectify,[],[f5])).
% 2.59/0.76 thf(f5,axiom,(
% 2.59/0.76 (! [X3,X1,X4] : ((in @ X4 @ (setadjoin @ X1 @ (setadjoin @ X3 @ emptyset))) => ((X3 = X4) | (X1 = X4))) = upairset2E)),
% 2.59/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',upairset2E)).
% 2.59/0.76 thf(f131,plain,(
% 2.59/0.76 ( ! [X0 : $i,X4 : $i] : (((in @ X4 @ (sK11 @ X0)) != $true) | ((in @ X4 @ X0) != $true)) )),
% 2.59/0.76 inference(subsumption_resolution,[],[f75,f106])).
% 2.59/0.76 thf(f75,plain,(
% 2.59/0.76 ( ! [X0 : $i,X4 : $i] : (((in @ X4 @ (sK11 @ X0)) != $true) | ($true != (sP0 @ X0)) | ((in @ X4 @ X0) != $true)) )),
% 2.59/0.76 inference(cnf_transformation,[],[f47])).
% 2.59/0.76 % SZS output end Proof for theBenchmark
% 2.59/0.76 % (21783)------------------------------
% 2.59/0.76 % (21783)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.59/0.76 % (21783)Termination reason: Refutation
% 2.59/0.76
% 2.59/0.76 % (21783)Memory used [KB]: 6268
% 2.59/0.76 % (21783)Time elapsed: 0.126 s
% 2.59/0.76 % (21783)Instructions burned: 359 (million)
% 2.59/0.76 % (21783)------------------------------
% 2.59/0.76 % (21783)------------------------------
% 2.59/0.76 % (21735)Success in time 0.402 s
% 2.59/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------