TSTP Solution File: SEU685^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU685^1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n021.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 03:50:44 EDT 2024
% Result : Theorem 1.51s 0.54s
% Output : Refutation 1.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SEU685^1 : TPTP v8.2.0. Released v3.7.0.
% 0.02/0.12 % 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
% 0.11/0.33 % Computer : n021.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sun May 19 17:03:52 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 This is a TH0_THM_EQU_NAR problem
% 0.11/0.33 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
% 0.11/0.36 % (29752)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)
% 0.11/0.36 % (29751)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)
% 0.11/0.36 % (29753)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.36 % (29754)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)
% 0.11/0.36 % (29755)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)
% 0.11/0.36 % (29756)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.11/0.36 % (29757)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)
% 0.11/0.36 % (29753)Instruction limit reached!
% 0.11/0.36 % (29753)------------------------------
% 0.11/0.36 % (29753)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (29753)Termination reason: Unknown
% 0.11/0.36 % (29753)Termination phase: shuffling
% 0.11/0.36
% 0.11/0.36 % (29754)Instruction limit reached!
% 0.11/0.36 % (29754)------------------------------
% 0.11/0.36 % (29754)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (29753)Memory used [KB]: 1407
% 0.11/0.36 % (29753)Time elapsed: 0.003 s
% 0.11/0.36 % (29753)Instructions burned: 2 (million)
% 0.11/0.36 % (29753)------------------------------
% 0.11/0.36 % (29753)------------------------------
% 0.11/0.36 % (29754)Termination reason: Unknown
% 0.11/0.36 % (29754)Termination phase: shuffling
% 0.11/0.36
% 0.11/0.36 % (29754)Memory used [KB]: 1407
% 0.11/0.36 % (29754)Time elapsed: 0.003 s
% 0.11/0.36 % (29754)Instructions burned: 2 (million)
% 0.11/0.36 % (29754)------------------------------
% 0.11/0.36 % (29754)------------------------------
% 0.11/0.36 % (29751)Instruction limit reached!
% 0.11/0.36 % (29751)------------------------------
% 0.11/0.36 % (29751)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.37 % (29751)Termination reason: Unknown
% 0.11/0.37 % (29751)Termination phase: shuffling
% 0.11/0.37
% 0.11/0.37 % (29751)Memory used [KB]: 1407
% 0.11/0.37 % (29751)Time elapsed: 0.003 s
% 0.11/0.37 % (29751)Instructions burned: 4 (million)
% 0.11/0.37 % (29751)------------------------------
% 0.11/0.37 % (29751)------------------------------
% 0.11/0.37 % (29750)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.11/0.37 % (29757)Instruction limit reached!
% 0.11/0.37 % (29757)------------------------------
% 0.11/0.37 % (29757)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.37 % (29757)Termination reason: Unknown
% 0.11/0.37 % (29757)Termination phase: shuffling
% 0.11/0.37
% 0.11/0.37 % (29757)Memory used [KB]: 1407
% 0.11/0.37 % (29757)Time elapsed: 0.004 s
% 0.11/0.37 % (29757)Instructions burned: 5 (million)
% 0.11/0.37 % (29757)------------------------------
% 0.11/0.37 % (29757)------------------------------
% 0.17/0.37 % (29756)Instruction limit reached!
% 0.17/0.37 % (29756)------------------------------
% 0.17/0.37 % (29756)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.37 % (29756)Termination reason: Unknown
% 0.17/0.37 % (29756)Termination phase: Property scanning
% 0.17/0.37
% 0.17/0.37 % (29756)Memory used [KB]: 1791
% 0.17/0.37 % (29756)Time elapsed: 0.011 s
% 0.17/0.37 % (29756)Instructions burned: 19 (million)
% 0.17/0.37 % (29756)------------------------------
% 0.17/0.37 % (29756)------------------------------
% 0.17/0.38 % (29752)Instruction limit reached!
% 0.17/0.38 % (29752)------------------------------
% 0.17/0.38 % (29752)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.38 % (29752)Termination reason: Unknown
% 0.17/0.38 % (29752)Termination phase: shuffling
% 0.17/0.38
% 0.17/0.38 % (29752)Memory used [KB]: 1918
% 0.17/0.38 % (29752)Time elapsed: 0.013 s
% 0.17/0.38 % (29752)Instructions burned: 27 (million)
% 0.17/0.38 % (29752)------------------------------
% 0.17/0.38 % (29752)------------------------------
% 0.17/0.38 % (29758)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)
% 0.17/0.38 % (29760)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)
% 0.17/0.38 % (29759)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)
% 0.17/0.38 % (29760)Instruction limit reached!
% 0.17/0.38 % (29760)------------------------------
% 0.17/0.38 % (29760)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.38 % (29760)Termination reason: Unknown
% 0.17/0.38 % (29760)Termination phase: shuffling
% 0.17/0.38
% 0.17/0.38 % (29760)Memory used [KB]: 1407
% 0.17/0.38 % (29760)Time elapsed: 0.003 s
% 0.17/0.38 % (29760)Instructions burned: 3 (million)
% 0.17/0.38 % (29760)------------------------------
% 0.17/0.38 % (29760)------------------------------
% 0.17/0.38 % (29761)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)
% 0.17/0.39 % (29759)Instruction limit reached!
% 0.17/0.39 % (29759)------------------------------
% 0.17/0.39 % (29759)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.39 % (29759)Termination reason: Unknown
% 0.17/0.39 % (29759)Termination phase: shuffling
% 0.17/0.39
% 0.17/0.39 % (29759)Memory used [KB]: 1663
% 0.17/0.39 % (29759)Time elapsed: 0.009 s
% 0.17/0.39 % (29759)Instructions burned: 15 (million)
% 0.17/0.39 % (29759)------------------------------
% 0.17/0.39 % (29759)------------------------------
% 0.17/0.39 % (29762)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.39 % (29763)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.17/0.39 % (29762)Instruction limit reached!
% 0.17/0.39 % (29762)------------------------------
% 0.17/0.39 % (29762)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.39 % (29762)Termination reason: Unknown
% 0.17/0.39 % (29762)Termination phase: shuffling
% 0.17/0.39
% 0.17/0.39 % (29762)Memory used [KB]: 1535
% 0.17/0.39 % (29762)Time elapsed: 0.005 s
% 0.17/0.39 % (29762)Instructions burned: 7 (million)
% 0.17/0.39 % (29762)------------------------------
% 0.17/0.39 % (29762)------------------------------
% 0.17/0.39 % (29758)Instruction limit reached!
% 0.17/0.39 % (29758)------------------------------
% 0.17/0.39 % (29758)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.39 % (29758)Termination reason: Unknown
% 0.17/0.39 % (29758)Termination phase: Property scanning
% 0.17/0.39
% 0.17/0.39 % (29758)Memory used [KB]: 2174
% 0.17/0.39 % (29758)Time elapsed: 0.018 s
% 0.17/0.39 % (29758)Instructions burned: 37 (million)
% 0.17/0.39 % (29758)------------------------------
% 0.17/0.39 % (29758)------------------------------
% 0.17/0.40 % (29763)Instruction limit reached!
% 0.17/0.40 % (29763)------------------------------
% 0.17/0.40 % (29763)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (29763)Termination reason: Unknown
% 0.17/0.40 % (29763)Termination phase: shuffling
% 0.17/0.40
% 0.17/0.40 % (29763)Memory used [KB]: 1663
% 0.17/0.40 % (29763)Time elapsed: 0.009 s
% 0.17/0.40 % (29763)Instructions burned: 16 (million)
% 0.17/0.40 % (29763)------------------------------
% 0.17/0.40 % (29763)------------------------------
% 0.17/0.40 % (29765)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)
% 0.17/0.40 % (29765)Instruction limit reached!
% 0.17/0.40 % (29765)------------------------------
% 0.17/0.40 % (29765)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (29765)Termination reason: Unknown
% 0.17/0.40 % (29765)Termination phase: shuffling
% 0.17/0.40
% 0.17/0.40 % (29765)Memory used [KB]: 1407
% 0.17/0.40 % (29765)Time elapsed: 0.003 s
% 0.17/0.40 % (29765)Instructions burned: 3 (million)
% 0.17/0.40 % (29765)------------------------------
% 0.17/0.40 % (29765)------------------------------
% 0.17/0.40 % (29764)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)
% 0.17/0.40 % (29764)Instruction limit reached!
% 0.17/0.40 % (29764)------------------------------
% 0.17/0.40 % (29764)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (29764)Termination reason: Unknown
% 0.17/0.40 % (29764)Termination phase: shuffling
% 0.17/0.40
% 0.17/0.40 % (29764)Memory used [KB]: 1407
% 0.17/0.40 % (29764)Time elapsed: 0.004 s
% 0.17/0.40 % (29764)Instructions burned: 5 (million)
% 0.17/0.40 % (29764)------------------------------
% 0.17/0.40 % (29764)------------------------------
% 0.17/0.41 % (29767)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)
% 0.17/0.41 % (29766)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)
% 0.17/0.41 % (29767)Instruction limit reached!
% 0.17/0.41 % (29767)------------------------------
% 0.17/0.41 % (29767)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (29767)Termination reason: Unknown
% 0.17/0.41 % (29767)Termination phase: shuffling
% 0.17/0.41
% 0.17/0.41 % (29767)Memory used [KB]: 1407
% 0.17/0.41 % (29767)Time elapsed: 0.003 s
% 0.17/0.41 % (29767)Instructions burned: 3 (million)
% 0.17/0.41 % (29767)------------------------------
% 0.17/0.41 % (29767)------------------------------
% 0.17/0.41 % (29766)Instruction limit reached!
% 0.17/0.41 % (29766)------------------------------
% 0.17/0.41 % (29766)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (29766)Termination reason: Unknown
% 0.17/0.41 % (29766)Termination phase: shuffling
% 0.17/0.41
% 0.17/0.41 % (29766)Memory used [KB]: 1535
% 0.17/0.41 % (29766)Time elapsed: 0.005 s
% 0.17/0.41 % (29766)Instructions burned: 7 (million)
% 0.17/0.41 % (29766)------------------------------
% 0.17/0.41 % (29766)------------------------------
% 0.17/0.41 % (29768)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.17/0.42 % (29768)Instruction limit reached!
% 0.17/0.42 % (29768)------------------------------
% 0.17/0.42 % (29768)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.42 % (29768)Termination reason: Unknown
% 0.17/0.42 % (29768)Termination phase: shuffling
% 0.17/0.42
% 0.17/0.42 % (29768)Memory used [KB]: 1407
% 0.17/0.42 % (29768)Time elapsed: 0.004 s
% 0.17/0.42 % (29768)Instructions burned: 5 (million)
% 0.17/0.42 % (29768)------------------------------
% 0.17/0.42 % (29768)------------------------------
% 0.17/0.42 % (29769)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)
% 0.17/0.42 % (29770)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.17/0.42 % (29769)Instruction limit reached!
% 0.17/0.42 % (29769)------------------------------
% 0.17/0.42 % (29769)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.42 % (29769)Termination reason: Unknown
% 0.17/0.42 % (29769)Termination phase: shuffling
% 0.17/0.42
% 0.17/0.42 % (29769)Memory used [KB]: 1791
% 0.17/0.42 % (29769)Time elapsed: 0.010 s
% 0.17/0.42 % (29769)Instructions burned: 18 (million)
% 0.17/0.42 % (29769)------------------------------
% 0.17/0.42 % (29769)------------------------------
% 0.17/0.42 % (29771)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.17/0.43 % (29771)Instruction limit reached!
% 0.17/0.43 % (29771)------------------------------
% 0.17/0.43 % (29771)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.43 % (29771)Termination reason: Unknown
% 0.17/0.43 % (29771)Termination phase: shuffling
% 0.17/0.43
% 0.17/0.43 % (29771)Memory used [KB]: 1407
% 0.17/0.43 % (29771)Time elapsed: 0.005 s
% 0.17/0.43 % (29771)Instructions burned: 7 (million)
% 0.17/0.43 % (29771)------------------------------
% 0.17/0.43 % (29771)------------------------------
% 0.17/0.43 % (29772)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)
% 0.17/0.43 % (29773)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)
% 0.17/0.44 % (29750)Instruction limit reached!
% 0.17/0.44 % (29750)------------------------------
% 0.17/0.44 % (29750)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.44 % (29750)Termination reason: Unknown
% 0.17/0.44 % (29750)Termination phase: Saturation
% 0.17/0.44
% 0.17/0.44 % (29750)Memory used [KB]: 7547
% 0.17/0.44 % (29750)Time elapsed: 0.073 s
% 0.17/0.44 % (29750)Instructions burned: 186 (million)
% 0.17/0.44 % (29750)------------------------------
% 0.17/0.44 % (29750)------------------------------
% 0.17/0.44 % (29775)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)
% 0.17/0.44 % (29773)Instruction limit reached!
% 0.17/0.44 % (29773)------------------------------
% 0.17/0.44 % (29773)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.44 % (29773)Termination reason: Unknown
% 0.17/0.44 % (29773)Termination phase: shuffling
% 0.17/0.44
% 0.17/0.44 % (29773)Memory used [KB]: 1791
% 0.17/0.44 % (29773)Time elapsed: 0.012 s
% 0.17/0.44 % (29773)Instructions burned: 23 (million)
% 0.17/0.44 % (29773)------------------------------
% 0.17/0.44 % (29773)------------------------------
% 0.17/0.44 % (29775)Instruction limit reached!
% 0.17/0.44 % (29775)------------------------------
% 0.17/0.44 % (29775)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.44 % (29775)Termination reason: Unknown
% 0.17/0.44 % (29775)Termination phase: shuffling
% 0.17/0.44
% 0.17/0.44 % (29775)Memory used [KB]: 1407
% 0.17/0.44 % (29775)Time elapsed: 0.005 s
% 0.17/0.44 % (29775)Instructions burned: 7 (million)
% 0.17/0.44 % (29775)------------------------------
% 0.17/0.44 % (29775)------------------------------
% 0.17/0.45 % (29774)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.17/0.45 % (29776)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.17/0.45 % (29774)Instruction limit reached!
% 0.17/0.45 % (29774)------------------------------
% 0.17/0.45 % (29774)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.45 % (29774)Termination reason: Unknown
% 0.17/0.45 % (29774)Termination phase: shuffling
% 0.17/0.45
% 0.17/0.45 % (29774)Memory used [KB]: 1407
% 0.17/0.45 % (29774)Time elapsed: 0.004 s
% 0.17/0.45 % (29774)Instructions burned: 5 (million)
% 0.17/0.45 % (29774)------------------------------
% 0.17/0.45 % (29774)------------------------------
% 0.17/0.46 % (29777)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)
% 0.17/0.46 % (29778)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)
% 0.17/0.46 % (29779)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)
% 0.17/0.46 % (29778)Instruction limit reached!
% 0.17/0.46 % (29778)------------------------------
% 0.17/0.46 % (29778)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.46 % (29778)Termination reason: Unknown
% 0.17/0.46 % (29778)Termination phase: shuffling
% 0.17/0.46
% 0.17/0.46 % (29778)Memory used [KB]: 1791
% 0.17/0.46 % (29778)Time elapsed: 0.010 s
% 0.17/0.46 % (29778)Instructions burned: 19 (million)
% 0.17/0.46 % (29778)------------------------------
% 0.17/0.46 % (29778)------------------------------
% 0.17/0.48 % (29780)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.17/0.49 % (29780)Instruction limit reached!
% 0.17/0.49 % (29780)------------------------------
% 0.17/0.49 % (29780)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.49 % (29780)Termination reason: Unknown
% 0.17/0.49 % (29780)Termination phase: shuffling
% 0.17/0.49
% 0.17/0.49 % (29780)Memory used [KB]: 1791
% 0.17/0.49 % (29780)Time elapsed: 0.010 s
% 0.17/0.49 % (29780)Instructions burned: 17 (million)
% 0.17/0.49 % (29780)------------------------------
% 0.17/0.49 % (29780)------------------------------
% 0.17/0.50 % (29755)Instruction limit reached!
% 0.17/0.50 % (29755)------------------------------
% 0.17/0.50 % (29755)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.50 % (29755)Termination reason: Unknown
% 0.17/0.50 % (29755)Termination phase: Saturation
% 0.17/0.50
% 0.17/0.50 % (29755)Memory used [KB]: 8699
% 0.17/0.50 % (29755)Time elapsed: 0.134 s
% 0.17/0.50 % (29755)Instructions burned: 276 (million)
% 0.17/0.50 % (29755)------------------------------
% 0.17/0.50 % (29755)------------------------------
% 0.17/0.50 % (29781)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.17/0.50 % (29781)Instruction limit reached!
% 0.17/0.50 % (29781)------------------------------
% 0.17/0.50 % (29781)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.50 % (29781)Termination reason: Unknown
% 0.17/0.50 % (29781)Termination phase: shuffling
% 0.17/0.50
% 0.17/0.50 % (29781)Memory used [KB]: 1407
% 0.17/0.50 % (29781)Time elapsed: 0.004 s
% 0.17/0.50 % (29781)Instructions burned: 4 (million)
% 0.17/0.50 % (29781)------------------------------
% 0.17/0.50 % (29781)------------------------------
% 0.17/0.51 % (29782)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.17/0.52 % (29783)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)
% 0.17/0.52 % (29782)Instruction limit reached!
% 0.17/0.52 % (29782)------------------------------
% 0.17/0.52 % (29782)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.52 % (29782)Termination reason: Unknown
% 0.17/0.52 % (29782)Termination phase: shuffling
% 0.17/0.52
% 0.17/0.52 % (29782)Memory used [KB]: 2046
% 0.17/0.52 % (29782)Time elapsed: 0.016 s
% 0.17/0.52 % (29782)Instructions burned: 32 (million)
% 0.17/0.52 % (29782)------------------------------
% 0.17/0.52 % (29782)------------------------------
% 0.17/0.53 % (29772)First to succeed.
% 1.51/0.54 % (29784)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)
% 1.51/0.54 % (29772)Refutation found. Thanks to Tanya!
% 1.51/0.54 % SZS status Theorem for theBenchmark
% 1.51/0.54 % SZS output start Proof for theBenchmark
% 1.51/0.54 thf(func_def_0, type, in: $i > $i > $o).
% 1.51/0.54 thf(func_def_1, type, exu: ($i > $o) > $o).
% 1.51/0.54 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 1.51/0.54 thf(func_def_8, type, powerset: $i > $i).
% 1.51/0.54 thf(func_def_10, type, setunion: $i > $i).
% 1.51/0.54 thf(func_def_19, type, descr: ($i > $o) > $i).
% 1.51/0.54 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 1.51/0.54 thf(func_def_26, type, prop2set: $o > $i).
% 1.51/0.54 thf(func_def_36, type, nonempty: $i > $o).
% 1.51/0.54 thf(func_def_69, type, set2prop: $i > $o).
% 1.51/0.54 thf(func_def_88, type, subset: $i > $i > $o).
% 1.51/0.54 thf(func_def_89, type, disjoint: $i > $i > $o).
% 1.51/0.54 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 1.51/0.54 thf(func_def_114, type, binunion: $i > $i > $i).
% 1.51/0.54 thf(func_def_122, type, binintersect: $i > $i > $i).
% 1.51/0.54 thf(func_def_135, type, regular: $i > $o).
% 1.51/0.54 thf(func_def_136, type, setminus: $i > $i > $i).
% 1.51/0.54 thf(func_def_147, type, symdiff: $i > $i > $i).
% 1.51/0.54 thf(func_def_153, type, iskpair: $i > $o).
% 1.51/0.54 thf(func_def_158, type, kpair: $i > $i > $i).
% 1.51/0.54 thf(func_def_160, type, cartprod: $i > $i > $i).
% 1.51/0.54 thf(func_def_177, type, singleton: $i > $o).
% 1.51/0.54 thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
% 1.51/0.54 thf(func_def_184, type, atmost1p: $i > $o).
% 1.51/0.54 thf(func_def_185, type, atleast2p: $i > $o).
% 1.51/0.54 thf(func_def_186, type, atmost2p: $i > $o).
% 1.51/0.54 thf(func_def_187, type, upairsetp: $i > $o).
% 1.51/0.54 thf(func_def_191, type, kfst: $i > $i).
% 1.51/0.54 thf(func_def_203, type, ksnd: $i > $i).
% 1.51/0.54 thf(func_def_213, type, breln: $i > $i > $i > $o).
% 1.51/0.54 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 1.51/0.54 thf(func_def_222, type, func: $i > $i > $i > $o).
% 1.51/0.54 thf(func_def_223, type, funcSet: $i > $i > $i).
% 1.51/0.54 thf(func_def_226, type, ap: $i > $i > $i > $i > $i).
% 1.51/0.54 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i).
% 1.51/0.54 thf(func_def_255, type, sP3: $i > $i > $i > $o > $o).
% 1.51/0.54 thf(func_def_256, type, sP4: $i > $i > $o).
% 1.51/0.54 thf(func_def_257, type, sP5: $i > $o).
% 1.51/0.54 thf(func_def_258, type, sP6: $i > $i > $o).
% 1.51/0.54 thf(func_def_259, type, sP7: $i > $i > $o).
% 1.51/0.54 thf(func_def_270, type, sK18: $i > $i > $o).
% 1.51/0.54 thf(func_def_271, type, sK19: $i > $i).
% 1.51/0.54 thf(func_def_272, type, sK20: $i > $i).
% 1.51/0.54 thf(func_def_273, type, sK21: ($i > $i > $o) > $i > $i).
% 1.51/0.54 thf(func_def_274, type, sK22: ($i > $i > $o) > $i > $i).
% 1.51/0.54 thf(func_def_275, type, sK23: $i > ($i > $i > $o) > $i > $i).
% 1.51/0.54 thf(func_def_291, type, sK39: $i > $i).
% 1.51/0.54 thf(func_def_292, type, sK40: $i > $i).
% 1.51/0.54 thf(func_def_295, type, sK43: $i > $o).
% 1.51/0.54 thf(func_def_297, type, sK45: $i > $o).
% 1.51/0.54 thf(func_def_299, type, sK47: ($i > $o) > $i > $i).
% 1.51/0.54 thf(func_def_300, type, sK48: ($i > $o) > $i > $i).
% 1.51/0.54 thf(func_def_307, type, sK55: $i > $o).
% 1.51/0.54 thf(func_def_308, type, sK56: $i > $i).
% 1.51/0.54 thf(func_def_313, type, sK61: ($i > $i) > $i > $i > $i).
% 1.51/0.54 thf(func_def_316, type, sK64: $i > $i).
% 1.51/0.54 thf(func_def_323, type, sK71: $i > $o).
% 1.51/0.54 thf(func_def_325, type, sK73: ($i > $o) > $i > $i).
% 1.51/0.54 thf(func_def_329, type, sK77: $i > $o).
% 1.51/0.54 thf(func_def_331, type, sK79: ($i > $o) > $i > $i > $i > $i).
% 1.51/0.54 thf(func_def_332, type, sK80: ($i > $o) > $i > $i > $i > $i).
% 1.51/0.54 thf(func_def_341, type, sK89: $i > $o).
% 1.51/0.54 thf(func_def_363, type, sK111: $i > $o).
% 1.51/0.54 thf(func_def_365, type, sK113: ($i > $o) > $i > $i).
% 1.51/0.54 thf(func_def_370, type, sK118: $i > $i > $i).
% 1.51/0.54 thf(func_def_371, type, sK119: $i > $i > $i).
% 1.51/0.54 thf(func_def_378, type, sK126: $i > $o).
% 1.51/0.54 thf(func_def_392, type, sK140: $i > $o).
% 1.51/0.54 thf(func_def_393, type, sK141: $i > $i).
% 1.51/0.54 thf(func_def_394, type, sK142: ($i > $o) > $i).
% 1.51/0.54 thf(func_def_402, type, sK150: $i > ($i > $o) > $i).
% 1.51/0.54 thf(func_def_403, type, sK151: $i > $o).
% 1.51/0.54 thf(func_def_410, type, sK158: $i > $o).
% 1.51/0.54 thf(func_def_423, type, sK171: $i > $i > $o).
% 1.51/0.54 thf(func_def_428, type, sK176: $i > $o).
% 1.51/0.54 thf(func_def_429, type, sK177: $i > $o).
% 1.51/0.54 thf(func_def_430, type, sK178: ($i > $o) > ($i > $o) > $i).
% 1.51/0.54 thf(func_def_431, type, sK179: ($i > $o) > ($i > $o) > $i).
% 1.51/0.54 thf(func_def_443, type, sK191: $i > ($i > $o) > $i).
% 1.51/0.54 thf(func_def_444, type, sK192: $i > $o).
% 1.51/0.54 thf(func_def_449, type, sK197: $i > $i > $i).
% 1.51/0.54 thf(func_def_471, type, sK219: $i > $i).
% 1.51/0.54 thf(func_def_474, type, sK222: $i > $i).
% 1.51/0.54 thf(func_def_478, type, sK226: $i > $i > $o).
% 1.51/0.54 thf(func_def_488, type, sK236: $i > $i > $i > $i).
% 1.51/0.54 thf(func_def_489, type, sK237: $i > $i > $i > $i).
% 1.51/0.54 thf(func_def_490, type, sK238: $i > $o).
% 1.51/0.54 thf(func_def_506, type, sK254: $i > $i > $i).
% 1.51/0.54 thf(func_def_515, type, sK263: ($i > $o) > $i).
% 1.51/0.54 thf(func_def_516, type, sK264: ($i > $o) > $i).
% 1.51/0.54 thf(func_def_517, type, sK265: $i > $o).
% 1.51/0.54 thf(func_def_521, type, sK269: $i > $i > $i).
% 1.51/0.54 thf(func_def_526, type, sK274: $i > $i > $o).
% 1.51/0.54 thf(func_def_553, type, sK301: $i > $o).
% 1.51/0.54 thf(func_def_557, type, sK305: $i > $o).
% 1.51/0.54 thf(func_def_558, type, sK306: $i > $i).
% 1.51/0.54 thf(func_def_559, type, sK307: ($i > $o) > $i).
% 1.51/0.54 thf(func_def_562, type, sK310: $i > ($i > $o) > $i).
% 1.51/0.54 thf(func_def_563, type, sK311: $i > $o).
% 1.51/0.54 thf(func_def_565, type, sK313: ($i > $o) > ($i > $o) > $i).
% 1.51/0.54 thf(func_def_566, type, sK314: ($i > $o) > ($i > $o) > $i).
% 1.51/0.54 thf(func_def_567, type, sK315: $i > $o).
% 1.51/0.54 thf(func_def_568, type, sK316: $i > $o).
% 1.51/0.54 thf(func_def_572, type, sK320: $i > ($i > $o) > $i).
% 1.51/0.54 thf(func_def_573, type, sK321: $i > $o).
% 1.51/0.54 thf(func_def_589, type, sK337: $i > $o).
% 1.51/0.54 thf(func_def_590, type, sK338: ($i > $o) > $i > $i > $i).
% 1.51/0.54 thf(func_def_600, type, sK348: $i > $o).
% 1.51/0.54 thf(func_def_603, type, sK351: $i > $i > $i).
% 1.51/0.54 thf(func_def_609, type, sK357: $o > $i > $i > $i).
% 1.51/0.54 thf(func_def_618, type, sK366: $i > $i > $i).
% 1.51/0.54 thf(func_def_620, type, sK368: $i > $o).
% 1.51/0.54 thf(func_def_623, type, sK371: $i > $i).
% 1.51/0.54 thf(func_def_627, type, sK375: $i > $i > $o).
% 1.51/0.54 thf(func_def_642, type, sK390: $i > $o).
% 1.51/0.54 thf(func_def_645, type, sK393: $i > ($i > $o) > $i).
% 1.51/0.54 thf(func_def_646, type, sK394: $i > ($i > $o) > $i).
% 1.51/0.54 thf(func_def_648, type, sK396: $i > $o).
% 1.51/0.54 thf(func_def_676, type, sK424: $i > $i > $i).
% 1.51/0.54 thf(func_def_685, type, sK433: $i > $i).
% 1.51/0.54 thf(func_def_688, type, sK436: $i > $o).
% 1.51/0.54 thf(func_def_705, type, sK453: $i > ($i > $i) > $i > $i).
% 1.51/0.54 thf(func_def_707, type, sK455: $i > $i).
% 1.51/0.54 thf(func_def_709, type, sK457: $i > $o).
% 1.51/0.54 thf(func_def_722, type, sK470: $i > $i > $o).
% 1.51/0.54 thf(func_def_725, type, sK473: $i > $i > $i).
% 1.51/0.54 thf(func_def_726, type, sK474: $i > $i > $i).
% 1.51/0.54 thf(func_def_727, type, sK475: $i > $i > $i).
% 1.51/0.54 thf(func_def_728, type, sK476: $i > $i > $i).
% 1.51/0.54 thf(func_def_729, type, sK477: $i > $i > $i).
% 1.51/0.54 thf(func_def_730, type, sK478: $i > $i > $i > $i).
% 1.51/0.54 thf(func_def_731, type, sK479: $i > $i).
% 1.51/0.54 thf(func_def_732, type, sK480: $i > $i).
% 1.51/0.54 thf(func_def_733, type, sK481: $i > $i).
% 1.51/0.54 thf(func_def_734, type, sK482: $i > $i).
% 1.51/0.54 thf(func_def_735, type, sK483: $i > $i > $i).
% 1.51/0.54 thf(func_def_736, type, sK484: $i > $i > $i > $i).
% 1.51/0.54 thf(func_def_737, type, sK485: $i > $i > $i > $i).
% 1.51/0.54 thf(func_def_738, type, sK486: $i > $i > $i).
% 1.51/0.54 thf(func_def_739, type, sK487: $i > $i > $i).
% 1.51/0.54 thf(func_def_740, type, sK488: $i > $i).
% 1.51/0.54 thf(func_def_742, type, sK490: $i > $i).
% 1.51/0.54 thf(func_def_743, type, sK491: $i > $i).
% 1.51/0.54 thf(func_def_751, type, sK499: ($i > $o) > ($i > $o) > $i > $i > $i).
% 1.51/0.54 thf(func_def_752, type, sK500: ($i > $o) > ($i > $o) > $i > $i > $i).
% 1.51/0.54 thf(func_def_755, type, sK503: $i > $o).
% 1.51/0.54 thf(func_def_756, type, sK504: $i > $o).
% 1.51/0.54 thf(func_def_759, type, sK507: $i > $i > $o).
% 1.51/0.54 thf(func_def_780, type, sK528: $i > $i).
% 1.51/0.54 thf(func_def_781, type, sK529: ($i > $i) > $i > $i > $i).
% 1.51/0.54 thf(func_def_793, type, sK541: ($i > $o) > $i > $i > $i > $i).
% 1.51/0.54 thf(func_def_794, type, sK542: ($i > $o) > $i > $i > $i > $i).
% 1.51/0.54 thf(func_def_798, type, sK546: $i > $o).
% 1.51/0.54 thf(func_def_802, type, sK550: $i > $o).
% 1.51/0.54 thf(func_def_805, type, sK553: $i > ($i > $o) > $i).
% 1.51/0.54 thf(func_def_806, type, sK554: $i > $i > $i).
% 1.51/0.54 thf(func_def_815, type, sK563: $i > ($i > $o) > $i).
% 1.51/0.54 thf(func_def_816, type, sK564: $i > $o).
% 1.51/0.54 thf(func_def_825, type, sK573: $i > $o).
% 1.51/0.54 thf(func_def_831, type, sK579: $i > $i > $o).
% 1.51/0.54 thf(func_def_843, type, sK591: $i > $i > $i).
% 1.51/0.54 thf(func_def_844, type, sK592: $i > $o).
% 1.51/0.54 thf(func_def_845, type, sK593: ($i > $o) > $i).
% 1.51/0.54 thf(func_def_846, type, sK594: $i > $o).
% 1.51/0.54 thf(func_def_848, type, sK596: $i > ($i > $o) > $i).
% 1.51/0.54 thf(func_def_853, type, ph601: !>[X0: $tType]:(X0)).
% 1.51/0.54 thf(f2977,plain,(
% 1.51/0.54 $false),
% 1.51/0.54 inference(trivial_inequality_removal,[],[f2976])).
% 1.51/0.54 thf(f2976,plain,(
% 1.51/0.54 ($true != $true)),
% 1.51/0.54 inference(superposition,[],[f2973,f2953])).
% 1.51/0.54 thf(f2953,plain,(
% 1.51/0.54 ($true = (func @ sK441 @ sK440 @ sK439))),
% 1.51/0.54 inference(trivial_inequality_removal,[],[f2952])).
% 1.51/0.54 thf(f2952,plain,(
% 1.51/0.54 ($true = (func @ sK441 @ sK440 @ sK439)) | ($true != $true)),
% 1.51/0.54 inference(forward_demodulation,[],[f2951,f2425])).
% 1.51/0.54 thf(f2425,plain,(
% 1.51/0.54 (infuncsetfunc = $true)),
% 1.51/0.54 inference(cnf_transformation,[],[f1571])).
% 1.51/0.54 thf(f1571,plain,(
% 1.51/0.54 (brelnall2 = $true) & (setminusSubset1 = $true) & (powersetsubset = $true) & (cartprodsndin = $true) & (emptysetimpfalse = $true) & (ubforcartprodlem2 = $true) & (dpsetconstrER = $true) & (exuE1 = $true) & (setadjoinSub2 = $true) & (setukpairIL = $true) & (noeltsimpempty = $true) & (sepInPowerset = $true) & (binintersectSubset1 = $true) & (singletonsswitch = $true) & (cartprodmempair1 = $true) & (nonemptyI1 = $true) & (subset2powerset = $true) & (exuE2 = $true) & (eqimpsubset1 = $true) & (cartprodmempair = $true) & (setunionsingleton1 = $true) & (binintersectI = $true) & (setOfPairsIsBReln = $true) & (setukpairinjR = $true) & (binunionE = $true) & (setbeta = $true) & (lam2p = $true) & (setukpairinjL1 = $true) & (replAx = $true) & (setminusER = $true) & (binunionIR = $true) & (ex1E1 = $true) & (upairsetIR = $true) & (emptyE1 = $true) & (kpairp = $true) & (upairsetIL = $true) & (singletoninpowerset = $true) & (dpsetconstrSub = $true) & (lamp = $true) & (nonemptyImpWitness = $true) & (funcGraphProp1 = $true) & (prop2setI = $true) & (emptyInPowerset = $true) & (exuI1 = $true) & (ubforcartprodlem1 = $true) & (bs114d = $true) & (kpairiskpair = $true) & (dsetconstrI = $true) & (binintersectSubset2 = $true) & (exu__Cong = $true) & (ex1E2 = $true) & (cartprodfstpairEq = $true) & (dpsetconstrEL1 = $true) & (setadjoinE = $true) & (funcinfuncset = $true) & (binintersectLsub = $true) & (symdiffI1 = $true) & (subsetE = $true) & (setminusILneg = $true) & (ex1I = $true) & (quantDeMorgan3 = $true) & (upairinpowunion = $true) & (omega__Cong = $true) & (setadjoinSub = $true) & (powersetAx = $true) & (omegaSAx = $true) & (powersetE1 = $true) & (binunionRsub = $true) & (cartprodsndpairEq = $true) & (ap2p = $true) & (symdiffI2 = $true) & (prop2setE = $true) & (kfstpairEq = $true) & (omegaIndAx = $true) & (emptysetE = $true) & (binunionIL = $true) & (nonemptyE1 = $true) & (setminusERneg = $true) & (dsetconstrEL = $true) & (dsetconstr__Cong = $true) & (setukpairinjR12 = $true) & (setminusELneg = $true) & (subsetE2 = $true) & (setextAx = $true) & (binintersectSubset5 = $true) & (ubforcartprodlem3 = $true) & (emptyset__Cong = $true) & (upairsetE = $true) & (emptyinunitempty = $true) & (notinsingleton = $true) & (setunionE = $true) & (eqimpsubset2 = $true) & (($true = (in @ sK439 @ (funcSet @ sK441 @ sK440))) & (($true != (in @ (kpair @ sK442 @ (ap @ sK441 @ sK440 @ sK439 @ sK442)) @ sK439)) & ($true = (in @ sK442 @ sK441)))) & (kpairsurjEq = $true) & (subPowSU = $true) & (notdallE = $true) & (subsetTrans = $true) & (cartprodpairmemEL = $true) & (exuI2 = $true) & (upairequniteq = $true) & (descr__Cong = $true) & (subsetRefl = $true) & (cartprodpairin = $true) & (cartprodmempaircEq = $true) & (setadjoinIR = $true) & (quantDeMorgan4 = $true) & (setminusI = $true) & (setukpairIR = $true) & (emptysetsubset = $true) & (setadjoin__Cong = $true) & (subsetI1 = $true) & (setminusSubset2 = $true) & (notsubsetI = $true) & (emptyinPowerset = $true) & (funcImageSingleton = $true) & (binunionEcases = $true) & (exuE3e = $true) & (omega0Ax = $true) & (powerset__Cong = $true) & (exuE3u = $true) & (eqinunit = $true) & (kfstsingleton = $true) & (in__Cong = $true) & (quantDeMorgan2 = $true) & (subsetI2 = $true) & (notdexE = $true) & (setminusIRneg = $true) & (lamProp = $true) & (setunionE2 = $true) & (apProp = $true) & (symdiffIneg1 = $true) & (setadjoinOr = $true) & (singletonprop = $true) & (ksndsingleton = $true) & (exuI3 = $true) & (powersetI1 = $true) & (powersetE = $true) & (cartprodpairmemER = $true) & (setukpairinjL2 = $true) & (secondinupair = $true) & (setukpairinjR11 = $true) & (upairset2E = $true) & (descrp = $true) & (emptyI = $true) & (ksndpairEq = $true) & (setunion__Cong = $true) & (brelnall1 = $true) & (upairsubunion = $true) & (singletoninpowunion = $true) & (cartprodpairsurjEq = $true) & (setextsub = $true) & (wellorderingAx = $true) & (cartprodfstin = $true) & (setminusLsub = $true) & (upairset2IR = $true) & (vacuousDall = $true) & (binunionLsub = $true) & (dsetconstrER = $true) & (setminusEL = $true) & (subsetemptysetimpeq = $true) & (ex1I2 = $true) & (binintersectRsub = $true) & (powersetI = $true) & (infuncsetfunc = $true) & (notequalI2 = $true) & (setext = $true) & (emptysetAx = $true) & (quantDeMorgan1 = $true) & (nonemptyI = $true) & (setukpairinjR2 = $true) & (binintersectER = $true) & (prop2set2propI = $true) & (foundationAx = $true) & (inCongP = $true) & (setadjoinAx = $true) & (binintersectSubset4 = $true) & (dpsetconstrERa = $true) & (symdiffIneg2 = $true) & (singletonsubset = $true) & (exuEu = $true) & (setunionI = $true) & (inPowerset = $true) & (notinemptyset = $true) & (setukpairinjL = $true) & (dpsetconstrI = $true) & (uniqinunit = $true) & (singletonsuniq = $true) & (binintersectEL = $true) & (app = $true) & (notequalI1 = $true) & (setoftrueEq = $true) & (setunionAx = $true) & (binintersectSubset3 = $true) & (symdiffE = $true) & (sepSubset = $true) & (theprop = $true) & (setadjoinIL = $true) & (setunionsingleton = $true) & (setukpairinjR1 = $true) & (dpsetconstrEL2 = $true) & (disjointsetsI1 = $true) & (setunionsingleton2 = $true)),
% 1.51/0.54 inference(skolemisation,[status(esa),new_symbols(skolem,[sK439,sK440,sK441,sK442])],[f768,f1570,f1569])).
% 1.51/0.54 thf(f1569,plain,(
% 1.51/0.54 ? [X0,X1,X2] : (($true = (in @ X0 @ (funcSet @ X2 @ X1))) & ? [X3] : (($true != (in @ (kpair @ X3 @ (ap @ X2 @ X1 @ X0 @ X3)) @ X0)) & ($true = (in @ X3 @ X2)))) => (($true = (in @ sK439 @ (funcSet @ sK441 @ sK440))) & ? [X3] : (($true != (in @ (kpair @ X3 @ (ap @ sK441 @ sK440 @ sK439 @ X3)) @ sK439)) & ($true = (in @ X3 @ sK441))))),
% 1.51/0.54 introduced(choice_axiom,[])).
% 1.51/0.54 thf(f1570,plain,(
% 1.51/0.54 ? [X3] : (($true != (in @ (kpair @ X3 @ (ap @ sK441 @ sK440 @ sK439 @ X3)) @ sK439)) & ($true = (in @ X3 @ sK441))) => (($true != (in @ (kpair @ sK442 @ (ap @ sK441 @ sK440 @ sK439 @ sK442)) @ sK439)) & ($true = (in @ sK442 @ sK441)))),
% 1.51/0.54 introduced(choice_axiom,[])).
% 1.51/0.54 thf(f768,plain,(
% 1.51/0.54 (brelnall2 = $true) & (setminusSubset1 = $true) & (powersetsubset = $true) & (cartprodsndin = $true) & (emptysetimpfalse = $true) & (ubforcartprodlem2 = $true) & (dpsetconstrER = $true) & (exuE1 = $true) & (setadjoinSub2 = $true) & (setukpairIL = $true) & (noeltsimpempty = $true) & (sepInPowerset = $true) & (binintersectSubset1 = $true) & (singletonsswitch = $true) & (cartprodmempair1 = $true) & (nonemptyI1 = $true) & (subset2powerset = $true) & (exuE2 = $true) & (eqimpsubset1 = $true) & (cartprodmempair = $true) & (setunionsingleton1 = $true) & (binintersectI = $true) & (setOfPairsIsBReln = $true) & (setukpairinjR = $true) & (binunionE = $true) & (setbeta = $true) & (lam2p = $true) & (setukpairinjL1 = $true) & (replAx = $true) & (setminusER = $true) & (binunionIR = $true) & (ex1E1 = $true) & (upairsetIR = $true) & (emptyE1 = $true) & (kpairp = $true) & (upairsetIL = $true) & (singletoninpowerset = $true) & (dpsetconstrSub = $true) & (lamp = $true) & (nonemptyImpWitness = $true) & (funcGraphProp1 = $true) & (prop2setI = $true) & (emptyInPowerset = $true) & (exuI1 = $true) & (ubforcartprodlem1 = $true) & (bs114d = $true) & (kpairiskpair = $true) & (dsetconstrI = $true) & (binintersectSubset2 = $true) & (exu__Cong = $true) & (ex1E2 = $true) & (cartprodfstpairEq = $true) & (dpsetconstrEL1 = $true) & (setadjoinE = $true) & (funcinfuncset = $true) & (binintersectLsub = $true) & (symdiffI1 = $true) & (subsetE = $true) & (setminusILneg = $true) & (ex1I = $true) & (quantDeMorgan3 = $true) & (upairinpowunion = $true) & (omega__Cong = $true) & (setadjoinSub = $true) & (powersetAx = $true) & (omegaSAx = $true) & (powersetE1 = $true) & (binunionRsub = $true) & (cartprodsndpairEq = $true) & (ap2p = $true) & (symdiffI2 = $true) & (prop2setE = $true) & (kfstpairEq = $true) & (omegaIndAx = $true) & (emptysetE = $true) & (binunionIL = $true) & (nonemptyE1 = $true) & (setminusERneg = $true) & (dsetconstrEL = $true) & (dsetconstr__Cong = $true) & (setukpairinjR12 = $true) & (setminusELneg = $true) & (subsetE2 = $true) & (setextAx = $true) & (binintersectSubset5 = $true) & (ubforcartprodlem3 = $true) & (emptyset__Cong = $true) & (upairsetE = $true) & (emptyinunitempty = $true) & (notinsingleton = $true) & (setunionE = $true) & (eqimpsubset2 = $true) & ? [X0,X1,X2] : (($true = (in @ X0 @ (funcSet @ X2 @ X1))) & ? [X3] : (($true != (in @ (kpair @ X3 @ (ap @ X2 @ X1 @ X0 @ X3)) @ X0)) & ($true = (in @ X3 @ X2)))) & (kpairsurjEq = $true) & (subPowSU = $true) & (notdallE = $true) & (subsetTrans = $true) & (cartprodpairmemEL = $true) & (exuI2 = $true) & (upairequniteq = $true) & (descr__Cong = $true) & (subsetRefl = $true) & (cartprodpairin = $true) & (cartprodmempaircEq = $true) & (setadjoinIR = $true) & (quantDeMorgan4 = $true) & (setminusI = $true) & (setukpairIR = $true) & (emptysetsubset = $true) & (setadjoin__Cong = $true) & (subsetI1 = $true) & (setminusSubset2 = $true) & (notsubsetI = $true) & (emptyinPowerset = $true) & (funcImageSingleton = $true) & (binunionEcases = $true) & (exuE3e = $true) & (omega0Ax = $true) & (powerset__Cong = $true) & (exuE3u = $true) & (eqinunit = $true) & (kfstsingleton = $true) & (in__Cong = $true) & (quantDeMorgan2 = $true) & (subsetI2 = $true) & (notdexE = $true) & (setminusIRneg = $true) & (lamProp = $true) & (setunionE2 = $true) & (apProp = $true) & (symdiffIneg1 = $true) & (setadjoinOr = $true) & (singletonprop = $true) & (ksndsingleton = $true) & (exuI3 = $true) & (powersetI1 = $true) & (powersetE = $true) & (cartprodpairmemER = $true) & (setukpairinjL2 = $true) & (secondinupair = $true) & (setukpairinjR11 = $true) & (upairset2E = $true) & (descrp = $true) & (emptyI = $true) & (ksndpairEq = $true) & (setunion__Cong = $true) & (brelnall1 = $true) & (upairsubunion = $true) & (singletoninpowunion = $true) & (cartprodpairsurjEq = $true) & (setextsub = $true) & (wellorderingAx = $true) & (cartprodfstin = $true) & (setminusLsub = $true) & (upairset2IR = $true) & (vacuousDall = $true) & (binunionLsub = $true) & (dsetconstrER = $true) & (setminusEL = $true) & (subsetemptysetimpeq = $true) & (ex1I2 = $true) & (binintersectRsub = $true) & (powersetI = $true) & (infuncsetfunc = $true) & (notequalI2 = $true) & (setext = $true) & (emptysetAx = $true) & (quantDeMorgan1 = $true) & (nonemptyI = $true) & (setukpairinjR2 = $true) & (binintersectER = $true) & (prop2set2propI = $true) & (foundationAx = $true) & (inCongP = $true) & (setadjoinAx = $true) & (binintersectSubset4 = $true) & (dpsetconstrERa = $true) & (symdiffIneg2 = $true) & (singletonsubset = $true) & (exuEu = $true) & (setunionI = $true) & (inPowerset = $true) & (notinemptyset = $true) & (setukpairinjL = $true) & (dpsetconstrI = $true) & (uniqinunit = $true) & (singletonsuniq = $true) & (binintersectEL = $true) & (app = $true) & (notequalI1 = $true) & (setoftrueEq = $true) & (setunionAx = $true) & (binintersectSubset3 = $true) & (symdiffE = $true) & (sepSubset = $true) & (theprop = $true) & (setadjoinIL = $true) & (setunionsingleton = $true) & (setukpairinjR1 = $true) & (dpsetconstrEL2 = $true) & (disjointsetsI1 = $true) & (setunionsingleton2 = $true)),
% 1.51/0.54 inference(flattening,[],[f767])).
% 1.51/0.54 thf(f767,plain,(
% 1.51/0.54 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1,X2] : (($true = (in @ X0 @ (funcSet @ X2 @ X1))) & ? [X3] : (($true != (in @ (kpair @ X3 @ (ap @ X2 @ X1 @ X0 @ X3)) @ X0)) & ($true = (in @ X3 @ X2)))) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $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)),
% 1.51/0.54 inference(ennf_transformation,[],[f341])).
% 1.51/0.54 thf(f341,plain,(
% 1.51/0.54 ~((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) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ! [X0,X1,X2] : (($true = (in @ X0 @ (funcSet @ X2 @ X1))) => ! [X3] : (($true = (in @ X3 @ X2)) => ($true = (in @ (kpair @ X3 @ (ap @ X2 @ X1 @ X0 @ X3)) @ X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.51/0.54 inference(fool_elimination,[],[f340])).
% 1.51/0.54 thf(f340,plain,(
% 1.51/0.54 ~(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 => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => ! [X0,X1,X2] : ((in @ X0 @ (funcSet @ X2 @ X1)) => ! [X3] : ((in @ X3 @ X2) => (in @ (kpair @ X3 @ (ap @ X2 @ X1 @ X0 @ X3)) @ X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.51/0.54 inference(rectify,[],[f210])).
% 1.51/0.54 thf(f210,negated_conjecture,(
% 1.51/0.54 ~(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 => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => ! [X13,X4,X3] : ((in @ X13 @ (funcSet @ X3 @ X4)) => ! [X1] : ((in @ X1 @ X3) => (in @ (kpair @ X1 @ (ap @ X3 @ X4 @ X13 @ X1)) @ X13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.51/0.54 inference(negated_conjecture,[],[f209])).
% 1.51/0.54 thf(f209,conjecture,(
% 1.51/0.54 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 => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => ! [X13,X4,X3] : ((in @ X13 @ (funcSet @ X3 @ X4)) => ! [X1] : ((in @ X1 @ X3) => (in @ (kpair @ X1 @ (ap @ X3 @ X4 @ X13 @ X1)) @ X13)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.51/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',funcGraphProp3)).
% 1.51/0.54 thf(f2951,plain,(
% 1.51/0.54 (infuncsetfunc != $true) | ($true = (func @ sK441 @ sK440 @ sK439))),
% 1.51/0.54 inference(trivial_inequality_removal,[],[f2948])).
% 1.51/0.54 thf(f2948,plain,(
% 1.51/0.54 ($true != $true) | (infuncsetfunc != $true) | ($true = (func @ sK441 @ sK440 @ sK439))),
% 1.51/0.54 inference(superposition,[],[f2798,f2498])).
% 1.51/0.54 thf(f2498,plain,(
% 1.51/0.54 ($true = (in @ sK439 @ (funcSet @ sK441 @ sK440)))),
% 1.51/0.54 inference(cnf_transformation,[],[f1571])).
% 1.51/0.54 thf(f2798,plain,(
% 1.51/0.54 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ X2 @ (funcSet @ X1 @ X0)) != $true) | ($true = (func @ X1 @ X0 @ X2)) | (infuncsetfunc != $true)) )),
% 1.51/0.54 inference(cnf_transformation,[],[f1815])).
% 1.51/0.54 thf(f1815,plain,(
% 1.51/0.54 (! [X0,X1,X2] : (((in @ X2 @ (funcSet @ X1 @ X0)) != $true) | ($true = (func @ X1 @ X0 @ X2))) | (infuncsetfunc != $true)) & ((infuncsetfunc = $true) | (($true = (in @ sK599 @ (funcSet @ sK598 @ sK597))) & ($true != (func @ sK598 @ sK597 @ sK599))))),
% 1.51/0.54 inference(skolemisation,[status(esa),new_symbols(skolem,[sK597,sK598,sK599])],[f1813,f1814])).
% 1.51/0.54 thf(f1814,plain,(
% 1.51/0.54 ? [X3,X4,X5] : (($true = (in @ X5 @ (funcSet @ X4 @ X3))) & ($true != (func @ X4 @ X3 @ X5))) => (($true = (in @ sK599 @ (funcSet @ sK598 @ sK597))) & ($true != (func @ sK598 @ sK597 @ sK599)))),
% 1.51/0.54 introduced(choice_axiom,[])).
% 1.51/0.54 thf(f1813,plain,(
% 1.51/0.54 (! [X0,X1,X2] : (((in @ X2 @ (funcSet @ X1 @ X0)) != $true) | ($true = (func @ X1 @ X0 @ X2))) | (infuncsetfunc != $true)) & ((infuncsetfunc = $true) | ? [X3,X4,X5] : (($true = (in @ X5 @ (funcSet @ X4 @ X3))) & ($true != (func @ X4 @ X3 @ X5))))),
% 1.51/0.54 inference(rectify,[],[f1812])).
% 1.51/0.54 thf(f1812,plain,(
% 1.51/0.54 (! [X0,X1,X2] : (((in @ X2 @ (funcSet @ X1 @ X0)) != $true) | ($true = (func @ X1 @ X0 @ X2))) | (infuncsetfunc != $true)) & ((infuncsetfunc = $true) | ? [X0,X1,X2] : (((in @ X2 @ (funcSet @ X1 @ X0)) = $true) & ($true != (func @ X1 @ X0 @ X2))))),
% 1.51/0.54 inference(nnf_transformation,[],[f739])).
% 1.51/0.54 thf(f739,plain,(
% 1.51/0.54 ! [X0,X1,X2] : (((in @ X2 @ (funcSet @ X1 @ X0)) != $true) | ($true = (func @ X1 @ X0 @ X2))) <=> (infuncsetfunc = $true)),
% 1.51/0.54 inference(ennf_transformation,[],[f249])).
% 1.51/0.54 thf(f249,plain,(
% 1.51/0.54 ! [X0,X1,X2] : (((in @ X2 @ (funcSet @ X1 @ X0)) = $true) => ($true = (func @ X1 @ X0 @ X2))) <=> (infuncsetfunc = $true)),
% 1.51/0.54 inference(fool_elimination,[],[f248])).
% 1.51/0.54 thf(f248,plain,(
% 1.51/0.54 (infuncsetfunc = ! [X0,X1,X2] : ((in @ X2 @ (funcSet @ X1 @ X0)) => (func @ X1 @ X0 @ X2)))),
% 1.51/0.54 inference(rectify,[],[f198])).
% 1.51/0.54 thf(f198,axiom,(
% 1.51/0.54 (infuncsetfunc = ! [X4,X3,X13] : ((in @ X13 @ (funcSet @ X3 @ X4)) => (func @ X3 @ X4 @ X13)))),
% 1.51/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infuncsetfunc)).
% 1.51/0.54 thf(f2973,plain,(
% 1.51/0.54 ($true != (func @ sK441 @ sK440 @ sK439))),
% 1.51/0.54 inference(trivial_inequality_removal,[],[f2972])).
% 1.51/0.54 thf(f2972,plain,(
% 1.51/0.54 ($true != (func @ sK441 @ sK440 @ sK439)) | ($true != $true)),
% 1.51/0.54 inference(forward_demodulation,[],[f2971,f2550])).
% 1.51/0.54 thf(f2550,plain,(
% 1.51/0.54 (funcGraphProp1 = $true)),
% 1.51/0.54 inference(cnf_transformation,[],[f1571])).
% 1.51/0.54 thf(f2971,plain,(
% 1.51/0.54 ($true != (func @ sK441 @ sK440 @ sK439)) | (funcGraphProp1 != $true)),
% 1.51/0.54 inference(trivial_inequality_removal,[],[f2970])).
% 1.51/0.54 thf(f2970,plain,(
% 1.51/0.54 ($true != (func @ sK441 @ sK440 @ sK439)) | ($true != $true) | (funcGraphProp1 != $true)),
% 1.51/0.54 inference(forward_demodulation,[],[f2962,f2496])).
% 1.51/0.54 thf(f2496,plain,(
% 1.51/0.54 ($true = (in @ sK442 @ sK441))),
% 1.51/0.54 inference(cnf_transformation,[],[f1571])).
% 1.51/0.54 thf(f2962,plain,(
% 1.51/0.54 ($true != (in @ sK442 @ sK441)) | ($true != (func @ sK441 @ sK440 @ sK439)) | (funcGraphProp1 != $true)),
% 1.51/0.54 inference(trivial_inequality_removal,[],[f2960])).
% 1.51/0.54 thf(f2960,plain,(
% 1.51/0.54 ($true != (in @ sK442 @ sK441)) | ($true != (func @ sK441 @ sK440 @ sK439)) | ($true != $true) | (funcGraphProp1 != $true)),
% 1.51/0.54 inference(superposition,[],[f2497,f2337])).
% 1.51/0.54 thf(f2337,plain,(
% 1.51/0.54 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (in @ (kpair @ X3 @ (ap @ X0 @ X1 @ X2 @ X3)) @ X2)) | ($true != (in @ X3 @ X0)) | ($true != (func @ X0 @ X1 @ X2)) | (funcGraphProp1 != $true)) )),
% 1.51/0.54 inference(cnf_transformation,[],[f1513])).
% 1.51/0.54 thf(f1513,plain,(
% 1.51/0.54 (! [X0,X1,X2] : (! [X3] : (($true = (in @ (kpair @ X3 @ (ap @ X0 @ X1 @ X2 @ X3)) @ X2)) | ($true != (in @ X3 @ X0))) | ($true != (func @ X0 @ X1 @ X2))) | (funcGraphProp1 != $true)) & ((funcGraphProp1 = $true) | ((($true != (in @ (kpair @ sK401 @ (ap @ sK398 @ sK399 @ sK400 @ sK401)) @ sK400)) & ($true = (in @ sK401 @ sK398))) & ($true = (func @ sK398 @ sK399 @ sK400))))),
% 1.51/0.54 inference(skolemisation,[status(esa),new_symbols(skolem,[sK398,sK399,sK400,sK401])],[f1510,f1512,f1511])).
% 1.51/0.54 thf(f1511,plain,(
% 1.51/0.54 ? [X4,X5,X6] : (? [X7] : (($true != (in @ (kpair @ X7 @ (ap @ X4 @ X5 @ X6 @ X7)) @ X6)) & ((in @ X7 @ X4) = $true)) & ($true = (func @ X4 @ X5 @ X6))) => (? [X7] : (($true != (in @ (kpair @ X7 @ (ap @ sK398 @ sK399 @ sK400 @ X7)) @ sK400)) & ($true = (in @ X7 @ sK398))) & ($true = (func @ sK398 @ sK399 @ sK400)))),
% 1.51/0.54 introduced(choice_axiom,[])).
% 1.51/0.54 thf(f1512,plain,(
% 1.51/0.54 ? [X7] : (($true != (in @ (kpair @ X7 @ (ap @ sK398 @ sK399 @ sK400 @ X7)) @ sK400)) & ($true = (in @ X7 @ sK398))) => (($true != (in @ (kpair @ sK401 @ (ap @ sK398 @ sK399 @ sK400 @ sK401)) @ sK400)) & ($true = (in @ sK401 @ sK398)))),
% 1.51/0.54 introduced(choice_axiom,[])).
% 1.51/0.54 thf(f1510,plain,(
% 1.51/0.54 (! [X0,X1,X2] : (! [X3] : (($true = (in @ (kpair @ X3 @ (ap @ X0 @ X1 @ X2 @ X3)) @ X2)) | ($true != (in @ X3 @ X0))) | ($true != (func @ X0 @ X1 @ X2))) | (funcGraphProp1 != $true)) & ((funcGraphProp1 = $true) | ? [X4,X5,X6] : (? [X7] : (($true != (in @ (kpair @ X7 @ (ap @ X4 @ X5 @ X6 @ X7)) @ X6)) & ((in @ X7 @ X4) = $true)) & ($true = (func @ X4 @ X5 @ X6))))),
% 1.51/0.54 inference(rectify,[],[f1509])).
% 1.51/0.54 thf(f1509,plain,(
% 1.51/0.54 (! [X0,X1,X2] : (! [X3] : (($true = (in @ (kpair @ X3 @ (ap @ X0 @ X1 @ X2 @ X3)) @ X2)) | ($true != (in @ X3 @ X0))) | ($true != (func @ X0 @ X1 @ X2))) | (funcGraphProp1 != $true)) & ((funcGraphProp1 = $true) | ? [X0,X1,X2] : (? [X3] : (($true != (in @ (kpair @ X3 @ (ap @ X0 @ X1 @ X2 @ X3)) @ X2)) & ($true = (in @ X3 @ X0))) & ($true = (func @ X0 @ X1 @ X2))))),
% 1.51/0.54 inference(nnf_transformation,[],[f684])).
% 1.51/0.54 thf(f684,plain,(
% 1.51/0.54 ! [X0,X1,X2] : (! [X3] : (($true = (in @ (kpair @ X3 @ (ap @ X0 @ X1 @ X2 @ X3)) @ X2)) | ($true != (in @ X3 @ X0))) | ($true != (func @ X0 @ X1 @ X2))) <=> (funcGraphProp1 = $true)),
% 1.51/0.54 inference(ennf_transformation,[],[f494])).
% 1.51/0.54 thf(f494,plain,(
% 1.51/0.54 (funcGraphProp1 = $true) <=> ! [X0,X1,X2] : (($true = (func @ X0 @ X1 @ X2)) => ! [X3] : (($true = (in @ X3 @ X0)) => ($true = (in @ (kpair @ X3 @ (ap @ X0 @ X1 @ X2 @ X3)) @ X2))))),
% 1.51/0.54 inference(fool_elimination,[],[f493])).
% 1.51/0.54 thf(f493,plain,(
% 1.51/0.54 (! [X0,X1,X2] : ((func @ X0 @ X1 @ X2) => ! [X3] : ((in @ X3 @ X0) => (in @ (kpair @ X3 @ (ap @ X0 @ X1 @ X2 @ X3)) @ X2))) = funcGraphProp1)),
% 1.51/0.54 inference(rectify,[],[f208])).
% 1.51/0.54 thf(f208,axiom,(
% 1.51/0.54 (! [X3,X4,X13] : ((func @ X3 @ X4 @ X13) => ! [X1] : ((in @ X1 @ X3) => (in @ (kpair @ X1 @ (ap @ X3 @ X4 @ X13 @ X1)) @ X13))) = funcGraphProp1)),
% 1.51/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',funcGraphProp1)).
% 1.51/0.54 thf(f2497,plain,(
% 1.51/0.54 ($true != (in @ (kpair @ sK442 @ (ap @ sK441 @ sK440 @ sK439 @ sK442)) @ sK439))),
% 1.51/0.54 inference(cnf_transformation,[],[f1571])).
% 1.51/0.54 % SZS output end Proof for theBenchmark
% 1.51/0.54 % (29772)------------------------------
% 1.51/0.54 % (29772)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.51/0.54 % (29772)Termination reason: Refutation
% 1.51/0.54
% 1.51/0.54 % (29772)Memory used [KB]: 8827
% 1.51/0.54 % (29772)Time elapsed: 0.113 s
% 1.51/0.54 % (29772)Instructions burned: 224 (million)
% 1.51/0.54 % (29772)------------------------------
% 1.51/0.54 % (29772)------------------------------
% 1.51/0.54 % (29749)Success in time 0.191 s
% 1.51/0.54 % Vampire---4.8 exiting
%------------------------------------------------------------------------------