TSTP Solution File: NUM684^4 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : NUM684^4 : TPTP v8.2.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% 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 : Mon Jun 24 13:16:37 EDT 2024
% Result : Theorem 2.07s 0.69s
% Output : Refutation 2.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM684^4 : TPTP v8.2.0. Released v7.1.0.
% 0.03/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Jun 22 23:54:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a TH0_THM_EQU_NAR problem
% 0.12/0.35 Running higher-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.22/0.39 % (5012)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.39 % (5014)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)
% 0.22/0.39 % (5013)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)
% 0.22/0.39 % (5016)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)
% 0.22/0.39 % (5015)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.39 % (5017)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)
% 0.22/0.39 % (5018)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.39 % (5015)Instruction limit reached!
% 0.22/0.39 % (5015)------------------------------
% 0.22/0.39 % (5015)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.39 % (5015)Termination reason: Unknown
% 0.22/0.39 % (5015)Termination phase: shuffling
% 0.22/0.39 % (5016)Instruction limit reached!
% 0.22/0.39 % (5016)------------------------------
% 0.22/0.39 % (5016)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.39 % (5016)Termination reason: Unknown
% 0.22/0.39 % (5016)Termination phase: shuffling
% 0.22/0.39
% 0.22/0.39 % (5016)Memory used [KB]: 1407
% 0.22/0.39 % (5016)Time elapsed: 0.004 s
% 0.22/0.39 % (5016)Instructions burned: 3 (million)
% 0.22/0.39 % (5016)------------------------------
% 0.22/0.39 % (5016)------------------------------
% 0.22/0.39
% 0.22/0.39 % (5015)Memory used [KB]: 1279
% 0.22/0.39 % (5015)Time elapsed: 0.004 s
% 0.22/0.39 % (5015)Instructions burned: 3 (million)
% 0.22/0.39 % (5015)------------------------------
% 0.22/0.39 % (5015)------------------------------
% 0.22/0.39 % (5013)Instruction limit reached!
% 0.22/0.39 % (5013)------------------------------
% 0.22/0.39 % (5013)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.39 % (5013)Termination reason: Unknown
% 0.22/0.39 % (5013)Termination phase: shuffling
% 0.22/0.39
% 0.22/0.39 % (5013)Memory used [KB]: 1407
% 0.22/0.39 % (5013)Time elapsed: 0.005 s
% 0.22/0.39 % (5013)Instructions burned: 5 (million)
% 0.22/0.39 % (5013)------------------------------
% 0.22/0.39 % (5013)------------------------------
% 0.22/0.40 % (5018)Instruction limit reached!
% 0.22/0.40 % (5018)------------------------------
% 0.22/0.40 % (5018)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.40 % (5018)Termination reason: Unknown
% 0.22/0.40 % (5018)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (5018)Memory used [KB]: 1663
% 0.22/0.40 % (5018)Time elapsed: 0.013 s
% 0.22/0.40 % (5018)Instructions burned: 19 (million)
% 0.22/0.40 % (5018)------------------------------
% 0.22/0.40 % (5018)------------------------------
% 0.22/0.40 % (5014)Instruction limit reached!
% 0.22/0.40 % (5014)------------------------------
% 0.22/0.40 % (5014)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.40 % (5014)Termination reason: Unknown
% 0.22/0.40 % (5014)Termination phase: Property scanning
% 0.22/0.40
% 0.22/0.40 % (5014)Memory used [KB]: 1791
% 0.22/0.40 % (5014)Time elapsed: 0.017 s
% 0.22/0.40 % (5014)Instructions burned: 27 (million)
% 0.22/0.40 % (5014)------------------------------
% 0.22/0.40 % (5014)------------------------------
% 0.22/0.41 % (5021)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)
% 0.22/0.41 % (5019)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)
% 0.22/0.41 % (5020)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)
% 0.22/0.41 % (5019)Instruction limit reached!
% 0.22/0.41 % (5019)------------------------------
% 0.22/0.41 % (5019)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41 % (5019)Termination reason: Unknown
% 0.22/0.41 % (5019)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (5019)Memory used [KB]: 1407
% 0.22/0.41 % (5019)Time elapsed: 0.004 s
% 0.22/0.41 % (5019)Instructions burned: 3 (million)
% 0.22/0.41 % (5019)------------------------------
% 0.22/0.41 % (5019)------------------------------
% 0.22/0.41 % (5021)Instruction limit reached!
% 0.22/0.41 % (5021)------------------------------
% 0.22/0.41 % (5021)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41 % (5021)Termination reason: Unknown
% 0.22/0.41 % (5021)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (5021)Memory used [KB]: 1663
% 0.22/0.41 % (5021)Time elapsed: 0.009 s
% 0.22/0.41 % (5021)Instructions burned: 16 (million)
% 0.22/0.41 % (5021)------------------------------
% 0.22/0.41 % (5021)------------------------------
% 0.22/0.42 % (5017)Refutation not found, incomplete strategy
% 0.22/0.42 % (5017)------------------------------
% 0.22/0.42 % (5017)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.42 % (5017)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.42
% 0.22/0.42
% 0.22/0.42 % (5017)Memory used [KB]: 6268
% 0.22/0.42 % (5017)Time elapsed: 0.028 s
% 0.22/0.42 % (5017)Instructions burned: 47 (million)
% 0.22/0.42 % (5017)------------------------------
% 0.22/0.42 % (5017)------------------------------
% 0.22/0.42 % (5022)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)
% 0.22/0.42 % (5022)Instruction limit reached!
% 0.22/0.42 % (5022)------------------------------
% 0.22/0.42 % (5022)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.42 % (5022)Termination reason: Unknown
% 0.22/0.42 % (5022)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (5022)Memory used [KB]: 1407
% 0.22/0.42 % (5022)Time elapsed: 0.004 s
% 0.22/0.42 % (5022)Instructions burned: 3 (million)
% 0.22/0.42 % (5022)------------------------------
% 0.22/0.42 % (5022)------------------------------
% 0.22/0.42 % (5023)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)
% 0.22/0.43 % (5024)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.43 % (5020)Instruction limit reached!
% 0.22/0.43 % (5020)------------------------------
% 0.22/0.43 % (5020)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (5020)Termination reason: Unknown
% 0.22/0.43 % (5020)Termination phase: Property scanning
% 0.22/0.43
% 0.22/0.43 % (5020)Memory used [KB]: 1918
% 0.22/0.43 % (5020)Time elapsed: 0.021 s
% 0.22/0.43 % (5020)Instructions burned: 38 (million)
% 0.22/0.43 % (5020)------------------------------
% 0.22/0.43 % (5020)------------------------------
% 0.22/0.43 % (5024)Instruction limit reached!
% 0.22/0.43 % (5024)------------------------------
% 0.22/0.43 % (5024)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (5024)Termination reason: Unknown
% 0.22/0.43 % (5024)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (5024)Memory used [KB]: 1407
% 0.22/0.43 % (5024)Time elapsed: 0.006 s
% 0.22/0.43 % (5024)Instructions burned: 7 (million)
% 0.22/0.43 % (5024)------------------------------
% 0.22/0.43 % (5024)------------------------------
% 0.22/0.43 % (5025)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.43 % (5026)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)
% 0.22/0.43 % (5026)Instruction limit reached!
% 0.22/0.43 % (5026)------------------------------
% 0.22/0.43 % (5026)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (5026)Termination reason: Unknown
% 0.22/0.43 % (5026)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (5026)Memory used [KB]: 1407
% 0.22/0.43 % (5026)Time elapsed: 0.004 s
% 0.22/0.43 % (5026)Instructions burned: 3 (million)
% 0.22/0.43 % (5026)------------------------------
% 0.22/0.43 % (5026)------------------------------
% 0.22/0.43 % (5027)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)
% 0.22/0.44 % (5027)Instruction limit reached!
% 0.22/0.44 % (5027)------------------------------
% 0.22/0.44 % (5027)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.44 % (5027)Termination reason: Unknown
% 0.22/0.44 % (5027)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (5027)Memory used [KB]: 1407
% 0.22/0.44 % (5027)Time elapsed: 0.004 s
% 0.22/0.44 % (5027)Instructions burned: 3 (million)
% 0.22/0.44 % (5027)------------------------------
% 0.22/0.44 % (5027)------------------------------
% 0.22/0.44 % (5025)Instruction limit reached!
% 0.22/0.44 % (5025)------------------------------
% 0.22/0.44 % (5025)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.44 % (5025)Termination reason: Unknown
% 0.22/0.44 % (5025)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (5025)Memory used [KB]: 1535
% 0.22/0.44 % (5025)Time elapsed: 0.011 s
% 0.22/0.44 % (5025)Instructions burned: 16 (million)
% 0.22/0.44 % (5025)------------------------------
% 0.22/0.44 % (5025)------------------------------
% 0.22/0.44 % (5028)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)
% 0.22/0.44 % (5029)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)
% 0.22/0.45 % (5028)Instruction limit reached!
% 0.22/0.45 % (5028)------------------------------
% 0.22/0.45 % (5028)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.45 % (5028)Termination reason: Unknown
% 0.22/0.45 % (5028)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (5028)Memory used [KB]: 1407
% 0.22/0.45 % (5028)Time elapsed: 0.006 s
% 0.22/0.45 % (5028)Instructions burned: 7 (million)
% 0.22/0.45 % (5028)------------------------------
% 0.22/0.45 % (5028)------------------------------
% 0.22/0.45 % (5029)Instruction limit reached!
% 0.22/0.45 % (5029)------------------------------
% 0.22/0.45 % (5029)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.45 % (5029)Termination reason: Unknown
% 0.22/0.45 % (5029)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (5029)Memory used [KB]: 1407
% 0.22/0.45 % (5029)Time elapsed: 0.004 s
% 0.22/0.45 % (5029)Instructions burned: 3 (million)
% 0.22/0.45 % (5029)------------------------------
% 0.22/0.45 % (5029)------------------------------
% 0.22/0.45 % (5030)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.45 % (5031)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)
% 0.22/0.45 % (5030)Instruction limit reached!
% 0.22/0.45 % (5030)------------------------------
% 0.22/0.45 % (5030)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.45 % (5030)Termination reason: Unknown
% 0.22/0.45 % (5030)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (5030)Memory used [KB]: 1407
% 0.22/0.45 % (5030)Time elapsed: 0.004 s
% 0.22/0.45 % (5030)Instructions burned: 4 (million)
% 0.22/0.45 % (5030)------------------------------
% 0.22/0.45 % (5030)------------------------------
% 0.22/0.45 % (5032)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.46 % (5031)Instruction limit reached!
% 0.22/0.46 % (5031)------------------------------
% 0.22/0.46 % (5031)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.46 % (5031)Termination reason: Unknown
% 0.22/0.46 % (5031)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (5031)Memory used [KB]: 1663
% 0.22/0.46 % (5031)Time elapsed: 0.008 s
% 0.22/0.46 % (5031)Instructions burned: 20 (million)
% 0.22/0.46 % (5031)------------------------------
% 0.22/0.46 % (5031)------------------------------
% 0.22/0.46 % (5034)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)
% 0.22/0.46 % (5033)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.46 % (5012)Instruction limit reached!
% 0.22/0.46 % (5012)------------------------------
% 0.22/0.46 % (5012)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.46 % (5012)Termination reason: Unknown
% 0.22/0.46 % (5012)Termination phase: Function definition elimination
% 0.22/0.46
% 0.22/0.46 % (5012)Memory used [KB]: 2046
% 0.22/0.46 % (5012)Time elapsed: 0.077 s
% 0.22/0.46 % (5012)Instructions burned: 184 (million)
% 0.22/0.46 % (5012)------------------------------
% 0.22/0.46 % (5012)------------------------------
% 0.22/0.47 % (5033)Instruction limit reached!
% 0.22/0.47 % (5033)------------------------------
% 0.22/0.47 % (5033)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.47 % (5033)Termination reason: Unknown
% 0.22/0.47 % (5033)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (5033)Memory used [KB]: 1407
% 0.22/0.47 % (5033)Time elapsed: 0.005 s
% 0.22/0.47 % (5033)Instructions burned: 7 (million)
% 0.22/0.47 % (5033)------------------------------
% 0.22/0.47 % (5033)------------------------------
% 0.22/0.47 % (5036)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.47 % (5036)Instruction limit reached!
% 0.22/0.47 % (5036)------------------------------
% 0.22/0.47 % (5036)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.47 % (5036)Termination reason: Unknown
% 0.22/0.47 % (5036)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (5036)Memory used [KB]: 1407
% 0.22/0.47 % (5036)Time elapsed: 0.003 s
% 0.22/0.47 % (5036)Instructions burned: 5 (million)
% 0.22/0.47 % (5036)------------------------------
% 0.22/0.47 % (5036)------------------------------
% 0.22/0.47 % (5035)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)
% 0.22/0.48 % (5038)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.22/0.48 % (5039)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 (2998ds/779Mi)
% 0.22/0.48 % (5035)Instruction limit reached!
% 0.22/0.48 % (5035)------------------------------
% 0.22/0.48 % (5035)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.48 % (5035)Termination reason: Unknown
% 0.22/0.48 % (5035)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (5035)Memory used [KB]: 1663
% 0.22/0.48 % (5035)Time elapsed: 0.013 s
% 0.22/0.48 % (5035)Instructions burned: 22 (million)
% 0.22/0.48 % (5035)------------------------------
% 0.22/0.48 % (5035)------------------------------
% 0.22/0.48 % (5037)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 (2998ds/6Mi)
% 0.22/0.48 % (5037)Instruction limit reached!
% 0.22/0.48 % (5037)------------------------------
% 0.22/0.48 % (5037)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.48 % (5037)Termination reason: Unknown
% 0.22/0.48 % (5037)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (5037)Memory used [KB]: 1407
% 0.22/0.48 % (5037)Time elapsed: 0.005 s
% 0.22/0.48 % (5037)Instructions burned: 6 (million)
% 0.22/0.48 % (5037)------------------------------
% 0.22/0.48 % (5037)------------------------------
% 0.22/0.49 % (5040)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 (2998ds/19Mi)
% 0.22/0.49 % (5043)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)
% 0.22/0.49 % (5040)Instruction limit reached!
% 0.22/0.49 % (5040)------------------------------
% 0.22/0.49 % (5040)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.49 % (5040)Termination reason: Unknown
% 0.22/0.49 % (5040)Termination phase: shuffling
% 0.22/0.49
% 0.22/0.49 % (5040)Memory used [KB]: 1663
% 0.22/0.49 % (5040)Time elapsed: 0.008 s
% 0.22/0.49 % (5040)Instructions burned: 21 (million)
% 0.22/0.49 % (5040)------------------------------
% 0.22/0.49 % (5040)------------------------------
% 0.22/0.50 % (5034)Refutation not found, incomplete strategy
% 0.22/0.50 % (5034)------------------------------
% 0.22/0.50 % (5034)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.50 % (5034)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.50
% 0.22/0.50
% 0.22/0.50 % (5034)Memory used [KB]: 6652
% 0.22/0.50 % (5034)Time elapsed: 0.043 s
% 0.22/0.50 % (5034)Instructions burned: 91 (million)
% 0.22/0.50 % (5034)------------------------------
% 0.22/0.50 % (5034)------------------------------
% 0.22/0.50 % (5044)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.22/0.51 % (5044)Instruction limit reached!
% 0.22/0.51 % (5044)------------------------------
% 0.22/0.51 % (5044)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.51 % (5044)Termination reason: Unknown
% 0.22/0.51 % (5044)Termination phase: shuffling
% 0.22/0.51
% 0.22/0.51 % (5044)Memory used [KB]: 1663
% 0.22/0.51 % (5044)Time elapsed: 0.007 s
% 0.22/0.51 % (5044)Instructions burned: 17 (million)
% 0.22/0.51 % (5044)------------------------------
% 0.22/0.51 % (5044)------------------------------
% 0.22/0.52 % (5046)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.22/0.52 % (5045)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.22/0.52 % (5045)Instruction limit reached!
% 0.22/0.52 % (5045)------------------------------
% 0.22/0.52 % (5045)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.52 % (5045)Termination reason: Unknown
% 0.22/0.52 % (5045)Termination phase: shuffling
% 0.22/0.52
% 0.22/0.52 % (5045)Memory used [KB]: 1279
% 0.22/0.52 % (5045)Time elapsed: 0.004 s
% 0.22/0.52 % (5045)Instructions burned: 3 (million)
% 0.22/0.52 % (5045)------------------------------
% 0.22/0.52 % (5045)------------------------------
% 0.22/0.53 % (5046)Instruction limit reached!
% 0.22/0.53 % (5046)------------------------------
% 0.22/0.53 % (5046)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.53 % (5046)Termination reason: Unknown
% 0.22/0.53 % (5046)Termination phase: Property scanning
% 0.22/0.53
% 0.22/0.53 % (5046)Memory used [KB]: 1791
% 0.22/0.53 % (5046)Time elapsed: 0.011 s
% 0.22/0.53 % (5046)Instructions burned: 30 (million)
% 0.22/0.53 % (5046)------------------------------
% 0.22/0.53 % (5046)------------------------------
% 0.22/0.53 % (5043)Refutation not found, incomplete strategy
% 0.22/0.53 % (5043)------------------------------
% 0.22/0.53 % (5043)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.53 % (5043)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.53
% 0.22/0.53
% 0.22/0.53 % (5043)Memory used [KB]: 6524
% 0.22/0.53 % (5043)Time elapsed: 0.036 s
% 0.22/0.53 % (5043)Instructions burned: 109 (million)
% 0.22/0.53 % (5043)------------------------------
% 0.22/0.53 % (5043)------------------------------
% 1.20/0.54 % (5047)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)
% 1.20/0.54 % (5049)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)
% 1.20/0.54 % (5049)Instruction limit reached!
% 1.20/0.54 % (5049)------------------------------
% 1.20/0.54 % (5049)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.20/0.54 % (5049)Termination reason: Unknown
% 1.20/0.54 % (5049)Termination phase: shuffling
% 1.20/0.54
% 1.20/0.54 % (5049)Memory used [KB]: 1407
% 1.20/0.54 % (5049)Time elapsed: 0.003 s
% 1.20/0.54 % (5049)Instructions burned: 4 (million)
% 1.20/0.54 % (5049)------------------------------
% 1.20/0.54 % (5049)------------------------------
% 1.20/0.54 % (5048)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)
% 1.20/0.55 % (5050)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)
% 1.37/0.55 % (5050)Instruction limit reached!
% 1.37/0.55 % (5050)------------------------------
% 1.37/0.55 % (5050)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.37/0.55 % (5050)Termination reason: Unknown
% 1.37/0.55 % (5050)Termination phase: shuffling
% 1.37/0.55
% 1.37/0.55 % (5050)Memory used [KB]: 1663
% 1.37/0.55 % (5050)Time elapsed: 0.008 s
% 1.37/0.55 % (5050)Instructions burned: 20 (million)
% 1.37/0.55 % (5050)------------------------------
% 1.37/0.55 % (5050)------------------------------
% 1.37/0.56 % (5051)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)
% 1.37/0.56 % (5038)Instruction limit reached!
% 1.37/0.56 % (5038)------------------------------
% 1.37/0.56 % (5038)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.37/0.56 % (5038)Termination reason: Unknown
% 1.37/0.56 % (5038)Termination phase: Function definition elimination
% 1.37/0.56
% 1.37/0.56 % (5038)Memory used [KB]: 2046
% 1.37/0.56 % (5038)Time elapsed: 0.084 s
% 1.37/0.56 % (5038)Instructions burned: 381 (million)
% 1.37/0.56 % (5038)------------------------------
% 1.37/0.56 % (5038)------------------------------
% 1.37/0.57 % (5048)Instruction limit reached!
% 1.37/0.57 % (5048)------------------------------
% 1.37/0.57 % (5048)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.37/0.57 % (5048)Termination reason: Unknown
% 1.37/0.57 % (5048)Termination phase: Function definition elimination
% 1.37/0.57
% 1.37/0.57 % (5048)Memory used [KB]: 2046
% 1.37/0.57 % (5048)Time elapsed: 0.028 s
% 1.37/0.57 % (5048)Instructions burned: 102 (million)
% 1.37/0.57 % (5048)------------------------------
% 1.37/0.57 % (5048)------------------------------
% 1.37/0.57 % (5052)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 (2997ds/107Mi)
% 1.37/0.58 % (5053)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 (2997ds/39Mi)
% 1.37/0.58 % (5047)Instruction limit reached!
% 1.37/0.58 % (5047)------------------------------
% 1.37/0.58 % (5047)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.37/0.58 % (5047)Termination reason: Unknown
% 1.37/0.58 % (5047)Termination phase: Function definition elimination
% 1.37/0.58
% 1.37/0.58 % (5047)Memory used [KB]: 2046
% 1.37/0.58 % (5047)Time elapsed: 0.049 s
% 1.37/0.58 % (5047)Instructions burned: 130 (million)
% 1.37/0.58 % (5047)------------------------------
% 1.37/0.58 % (5047)------------------------------
% 1.37/0.59 % (5051)Instruction limit reached!
% 1.37/0.59 % (5051)------------------------------
% 1.37/0.59 % (5051)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.37/0.59 % (5051)Termination reason: Unknown
% 1.37/0.59 % (5051)Termination phase: Function definition elimination
% 1.37/0.59
% 1.37/0.59 % (5051)Memory used [KB]: 2046
% 1.37/0.59 % (5051)Time elapsed: 0.025 s
% 1.37/0.59 % (5051)Instructions burned: 88 (million)
% 1.37/0.59 % (5051)------------------------------
% 1.37/0.59 % (5051)------------------------------
% 1.37/0.59 % (5053)Instruction limit reached!
% 1.37/0.59 % (5053)------------------------------
% 1.37/0.59 % (5053)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.37/0.59 % (5053)Termination reason: Unknown
% 1.37/0.59 % (5053)Termination phase: Property scanning
% 1.37/0.59
% 1.37/0.59 % (5053)Memory used [KB]: 1918
% 1.37/0.59 % (5053)Time elapsed: 0.013 s
% 1.37/0.59 % (5053)Instructions burned: 40 (million)
% 1.37/0.59 % (5053)------------------------------
% 1.37/0.59 % (5053)------------------------------
% 1.37/0.59 % (5054)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 (2997ds/448Mi)
% 1.37/0.60 % (5055)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 (2997ds/46Mi)
% 1.37/0.60 % (5056)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)
% 1.37/0.61 % (5052)Instruction limit reached!
% 1.37/0.61 % (5052)------------------------------
% 1.37/0.61 % (5052)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.37/0.61 % (5052)Termination reason: Unknown
% 1.37/0.61 % (5052)Termination phase: Saturation
% 1.37/0.61
% 1.37/0.61 % (5052)Memory used [KB]: 6652
% 1.37/0.61 % (5052)Time elapsed: 0.034 s
% 1.37/0.61 % (5052)Instructions burned: 109 (million)
% 1.37/0.61 % (5052)------------------------------
% 1.37/0.61 % (5052)------------------------------
% 1.37/0.61 % (5055)Instruction limit reached!
% 1.37/0.61 % (5055)------------------------------
% 1.37/0.61 % (5055)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.37/0.61 % (5055)Termination reason: Unknown
% 1.37/0.61 % (5055)Termination phase: SInE selection
% 1.37/0.61
% 1.37/0.61 % (5055)Memory used [KB]: 1791
% 1.37/0.61 % (5055)Time elapsed: 0.015 s
% 1.37/0.61 % (5055)Instructions burned: 46 (million)
% 1.37/0.61 % (5055)------------------------------
% 1.37/0.61 % (5055)------------------------------
% 1.37/0.62 % (5057)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)
% 1.37/0.62 % (5058)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)
% 1.37/0.62 % (5056)Instruction limit reached!
% 1.37/0.62 % (5056)------------------------------
% 1.37/0.62 % (5056)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.37/0.62 % (5056)Termination reason: Unknown
% 1.37/0.62 % (5056)Termination phase: Function definition elimination
% 1.37/0.62
% 1.37/0.62 % (5056)Memory used [KB]: 2046
% 1.37/0.62 % (5056)Time elapsed: 0.027 s
% 1.37/0.62 % (5056)Instructions burned: 100 (million)
% 1.37/0.62 % (5056)------------------------------
% 1.37/0.62 % (5056)------------------------------
% 1.87/0.63 % (5060)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.87/0.64 % (5060)Instruction limit reached!
% 1.87/0.64 % (5060)------------------------------
% 1.87/0.64 % (5060)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.87/0.64 % (5060)Termination reason: Unknown
% 1.87/0.64 % (5060)Termination phase: Property scanning
% 1.87/0.64
% 1.87/0.64 % (5060)Memory used [KB]: 1791
% 1.87/0.64 % (5060)Time elapsed: 0.014 s
% 1.87/0.64 % (5060)Instructions burned: 40 (million)
% 1.87/0.64 % (5060)------------------------------
% 1.87/0.64 % (5060)------------------------------
% 1.87/0.65 % (5061)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)
% 1.87/0.65 % (5058)Instruction limit reached!
% 1.87/0.65 % (5058)------------------------------
% 1.87/0.65 % (5058)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.87/0.65 % (5058)Termination reason: Unknown
% 1.87/0.65 % (5058)Termination phase: Function definition elimination
% 1.87/0.65
% 1.87/0.65 % (5058)Memory used [KB]: 2046
% 1.87/0.65 % (5058)Time elapsed: 0.038 s
% 1.87/0.65 % (5058)Instructions burned: 153 (million)
% 1.87/0.65 % (5058)------------------------------
% 1.87/0.65 % (5058)------------------------------
% 1.87/0.66 % (5061)Instruction limit reached!
% 1.87/0.66 % (5061)------------------------------
% 1.87/0.66 % (5061)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.87/0.66 % (5061)Termination reason: Unknown
% 1.87/0.66 % (5061)Termination phase: shuffling
% 1.87/0.66
% 1.87/0.66 % (5061)Memory used [KB]: 1407
% 1.87/0.66 % (5061)Time elapsed: 0.004 s
% 1.87/0.66 % (5061)Instructions burned: 8 (million)
% 1.87/0.66 % (5061)------------------------------
% 1.87/0.66 % (5061)------------------------------
% 1.87/0.66 % (5062)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)
% 1.87/0.66 % (5063)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 2.07/0.68 % (5063)Instruction limit reached!
% 2.07/0.68 % (5063)------------------------------
% 2.07/0.68 % (5063)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.07/0.68 % (5063)Termination reason: Unknown
% 2.07/0.68 % (5063)Termination phase: Property scanning
% 2.07/0.68
% 2.07/0.68 % (5063)Memory used [KB]: 1791
% 2.07/0.68 % (5063)Time elapsed: 0.017 s
% 2.07/0.68 % (5063)Instructions burned: 50 (million)
% 2.07/0.68 % (5063)------------------------------
% 2.07/0.68 % (5063)------------------------------
% 2.07/0.69 % (5023)Instruction limit reached!
% 2.07/0.69 % (5023)------------------------------
% 2.07/0.69 % (5023)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.07/0.69 % (5023)Termination reason: Unknown
% 2.07/0.69 % (5023)Termination phase: Property scanning
% 2.07/0.69
% 2.07/0.69 % (5023)Memory used [KB]: 2174
% 2.07/0.69 % (5023)Time elapsed: 0.267 s
% 2.07/0.69 % (5023)Instructions burned: 1042 (million)
% 2.07/0.69 % (5023)------------------------------
% 2.07/0.69 % (5023)------------------------------
% 2.07/0.69 % (5054)First to succeed.
% 2.07/0.69 % (5064)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 (2996ds/44Mi)
% 2.07/0.69 % (5062)Refutation not found, incomplete strategy
% 2.07/0.69 % (5062)------------------------------
% 2.07/0.69 % (5062)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.07/0.69 % (5062)Termination reason: Refutation not found, incomplete strategy
% 2.07/0.69
% 2.07/0.69
% 2.07/0.69 % (5062)Memory used [KB]: 6396
% 2.07/0.69 % (5062)Time elapsed: 0.049 s
% 2.07/0.69 % (5062)Instructions burned: 81 (million)
% 2.07/0.69 % (5062)------------------------------
% 2.07/0.69 % (5062)------------------------------
% 2.07/0.69 % (5054)Refutation found. Thanks to Tanya!
% 2.07/0.69 % SZS status Theorem for theBenchmark
% 2.07/0.69 % SZS output start Proof for theBenchmark
% 2.07/0.69 thf(func_def_0, type, is_of: $i > ($i > $o) > $o).
% 2.07/0.69 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o).
% 2.07/0.69 thf(func_def_3, type, eps: ($i > $o) > $i).
% 2.07/0.69 thf(func_def_4, type, in: $i > $i > $o).
% 2.07/0.69 thf(func_def_5, type, d_Subq: $i > $i > $o).
% 2.07/0.69 thf(func_def_7, type, union: $i > $i).
% 2.07/0.69 thf(func_def_8, type, power: $i > $i).
% 2.07/0.69 thf(func_def_9, type, repl: $i > ($i > $i) > $i).
% 2.07/0.69 thf(func_def_10, type, d_Union_closed: $i > $o).
% 2.07/0.69 thf(func_def_11, type, d_Power_closed: $i > $o).
% 2.07/0.69 thf(func_def_12, type, d_Repl_closed: $i > $o).
% 2.07/0.69 thf(func_def_13, type, d_ZF_closed: $i > $o).
% 2.07/0.69 thf(func_def_14, type, univof: $i > $i).
% 2.07/0.69 thf(func_def_15, type, if: $o > $i > $i > $i).
% 2.07/0.69 thf(func_def_16, type, nIn: $i > $i > $o).
% 2.07/0.69 thf(func_def_17, type, d_UPair: $i > $i > $i).
% 2.07/0.69 thf(func_def_18, type, d_Sing: $i > $i).
% 2.07/0.69 thf(func_def_19, type, binunion: $i > $i > $i).
% 2.07/0.69 thf(func_def_20, type, famunion: $i > ($i > $i) > $i).
% 2.07/0.69 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i).
% 2.07/0.69 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
% 2.07/0.69 thf(func_def_23, type, setminus: $i > $i > $i).
% 2.07/0.69 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o).
% 2.07/0.69 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i).
% 2.07/0.69 thf(func_def_26, type, ordsucc: $i > $i).
% 2.07/0.69 thf(func_def_27, type, nat_p: $i > $o).
% 2.07/0.69 thf(func_def_29, type, d_Inj1: $i > $i).
% 2.07/0.69 thf(func_def_30, type, d_Inj0: $i > $i).
% 2.07/0.69 thf(func_def_31, type, d_Unj: $i > $i).
% 2.07/0.69 thf(func_def_32, type, pair: $i > $i > $i).
% 2.07/0.69 thf(func_def_33, type, proj0: $i > $i).
% 2.07/0.69 thf(func_def_34, type, proj1: $i > $i).
% 2.07/0.69 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i).
% 2.07/0.69 thf(func_def_36, type, setprod: $i > $i > $i).
% 2.07/0.69 thf(func_def_37, type, ap: $i > $i > $i).
% 2.07/0.69 thf(func_def_38, type, pair_p: $i > $o).
% 2.07/0.69 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i).
% 2.07/0.69 thf(func_def_40, type, imp: $o > $o > $o).
% 2.07/0.69 thf(func_def_41, type, d_not: $o > $o).
% 2.07/0.69 thf(func_def_42, type, wel: $o > $o).
% 2.07/0.69 thf(func_def_44, type, l_ec: $o > $o > $o).
% 2.07/0.69 thf(func_def_45, type, d_and: $o > $o > $o).
% 2.07/0.69 thf(func_def_46, type, l_or: $o > $o > $o).
% 2.07/0.69 thf(func_def_47, type, orec: $o > $o > $o).
% 2.07/0.69 thf(func_def_48, type, l_iff: $o > $o > $o).
% 2.07/0.69 thf(func_def_49, type, all: $i > ($i > $o) > $o).
% 2.07/0.69 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o).
% 2.07/0.69 thf(func_def_51, type, l_some: $i > ($i > $o) > $o).
% 2.07/0.69 thf(func_def_52, type, or3: $o > $o > $o > $o).
% 2.07/0.69 thf(func_def_53, type, and3: $o > $o > $o > $o).
% 2.07/0.69 thf(func_def_54, type, ec3: $o > $o > $o > $o).
% 2.07/0.69 thf(func_def_55, type, orec3: $o > $o > $o > $o).
% 2.07/0.69 thf(func_def_56, type, e_is: $i > $i > $i > $o).
% 2.07/0.69 thf(func_def_57, type, amone: $i > ($i > $o) > $o).
% 2.07/0.69 thf(func_def_58, type, one: $i > ($i > $o) > $o).
% 2.07/0.69 thf(func_def_59, type, ind: $i > ($i > $o) > $i).
% 2.07/0.69 thf(func_def_60, type, injective: $i > $i > $i > $o).
% 2.07/0.69 thf(func_def_61, type, image: $i > $i > $i > $i > $o).
% 2.07/0.69 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i).
% 2.07/0.69 thf(func_def_63, type, soft: $i > $i > $i > $i > $i).
% 2.07/0.69 thf(func_def_64, type, inverse: $i > $i > $i > $i).
% 2.07/0.69 thf(func_def_65, type, surjective: $i > $i > $i > $o).
% 2.07/0.69 thf(func_def_66, type, bijective: $i > $i > $i > $o).
% 2.07/0.69 thf(func_def_67, type, invf: $i > $i > $i > $i).
% 2.07/0.69 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i).
% 2.07/0.69 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i).
% 2.07/0.69 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i).
% 2.07/0.69 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i).
% 2.07/0.69 thf(func_def_72, type, first: $i > $i > $i > $i).
% 2.07/0.69 thf(func_def_73, type, second: $i > $i > $i > $i).
% 2.07/0.69 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o).
% 2.07/0.69 thf(func_def_75, type, ite: $o > $i > $i > $i > $i).
% 2.07/0.69 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i).
% 2.07/0.69 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i).
% 2.07/0.69 thf(func_def_78, type, wissel: $i > $i > $i > $i).
% 2.07/0.69 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i).
% 2.07/0.69 thf(func_def_80, type, r_ec: $o > $o > $o).
% 2.07/0.69 thf(func_def_81, type, esti: $i > $i > $i > $o).
% 2.07/0.69 thf(func_def_82, type, empty: $i > $i > $o).
% 2.07/0.69 thf(func_def_83, type, nonempty: $i > $i > $o).
% 2.07/0.69 thf(func_def_84, type, incl: $i > $i > $i > $o).
% 2.07/0.69 thf(func_def_85, type, st_disj: $i > $i > $i > $o).
% 2.07/0.69 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o).
% 2.07/0.69 thf(func_def_87, type, unmore: $i > $i > $i > $i).
% 2.07/0.69 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i).
% 2.07/0.69 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o).
% 2.07/0.69 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o).
% 2.07/0.69 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i).
% 2.07/0.69 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i).
% 2.07/0.69 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i).
% 2.07/0.69 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i).
% 2.07/0.69 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o).
% 2.07/0.69 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o).
% 2.07/0.69 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o).
% 2.07/0.69 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 2.07/0.69 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o).
% 2.07/0.69 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 2.07/0.69 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i).
% 2.07/0.69 thf(func_def_103, type, n_is: $i > $i > $o).
% 2.07/0.69 thf(func_def_104, type, nis: $i > $i > $o).
% 2.07/0.69 thf(func_def_105, type, n_in: $i > $i > $o).
% 2.07/0.69 thf(func_def_106, type, n_some: ($i > $o) > $o).
% 2.07/0.69 thf(func_def_107, type, n_all: ($i > $o) > $o).
% 2.07/0.69 thf(func_def_108, type, n_one: ($i > $o) > $o).
% 2.07/0.69 thf(func_def_110, type, cond1: $i > $o).
% 2.07/0.69 thf(func_def_111, type, cond2: $i > $o).
% 2.07/0.69 thf(func_def_112, type, i1_s: ($i > $o) > $i).
% 2.07/0.69 thf(func_def_113, type, d_22_prop1: $i > $o).
% 2.07/0.69 thf(func_def_114, type, d_23_prop1: $i > $o).
% 2.07/0.69 thf(func_def_115, type, d_24_prop1: $i > $o).
% 2.07/0.69 thf(func_def_116, type, d_24_prop2: $i > $i > $o).
% 2.07/0.69 thf(func_def_117, type, prop3: $i > $i > $i > $o).
% 2.07/0.69 thf(func_def_118, type, prop4: $i > $o).
% 2.07/0.69 thf(func_def_119, type, d_24_g: $i > $i).
% 2.07/0.69 thf(func_def_120, type, plus: $i > $i).
% 2.07/0.69 thf(func_def_121, type, n_pl: $i > $i > $i).
% 2.07/0.69 thf(func_def_122, type, d_25_prop1: $i > $i > $i > $o).
% 2.07/0.69 thf(func_def_123, type, d_26_prop1: $i > $i > $o).
% 2.07/0.69 thf(func_def_124, type, d_27_prop1: $i > $i > $o).
% 2.07/0.69 thf(func_def_125, type, d_28_prop1: $i > $i > $i > $o).
% 2.07/0.69 thf(func_def_126, type, diffprop: $i > $i > $i > $o).
% 2.07/0.69 thf(func_def_127, type, d_29_ii: $i > $i > $o).
% 2.07/0.69 thf(func_def_128, type, iii: $i > $i > $o).
% 2.07/0.69 thf(func_def_129, type, d_29_prop1: $i > $i > $o).
% 2.07/0.69 thf(func_def_130, type, moreis: $i > $i > $o).
% 2.07/0.69 thf(func_def_131, type, lessis: $i > $i > $o).
% 2.07/0.69 thf(func_def_152, type, sK1: $i > ($i > $i) > ($i > $i) > $i).
% 2.07/0.69 thf(func_def_156, type, sK5: ($i > $o) > $i).
% 2.07/0.69 thf(f2219,plain,(
% 2.07/0.69 $false),
% 2.07/0.69 inference(avatar_sat_refutation,[],[f2184,f2213,f2217])).
% 2.07/0.69 thf(f2217,plain,(
% 2.07/0.69 ~spl0_8),
% 2.07/0.69 inference(avatar_contradiction_clause,[],[f2216])).
% 2.07/0.69 thf(f2216,plain,(
% 2.07/0.69 $false | ~spl0_8),
% 2.07/0.69 inference(trivial_inequality_removal,[],[f2214])).
% 2.07/0.69 thf(f2214,plain,(
% 2.07/0.69 ($false = $true) | ~spl0_8),
% 2.07/0.69 inference(backward_demodulation,[],[f885,f2183])).
% 2.07/0.69 thf(f2183,plain,(
% 2.07/0.69 ($false = (in @ sK2 @ nat)) | ~spl0_8),
% 2.07/0.69 inference(avatar_component_clause,[],[f2181])).
% 2.07/0.69 thf(f2181,plain,(
% 2.07/0.69 spl0_8 <=> ($false = (in @ sK2 @ nat))),
% 2.07/0.69 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
% 2.07/0.69 thf(f885,plain,(
% 2.07/0.69 ((in @ sK2 @ nat) = $true)),
% 2.07/0.69 inference(binary_proxy_clausification,[],[f883])).
% 2.07/0.69 thf(f883,plain,(
% 2.07/0.69 ($false = ((in @ sK2 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((n_pl @ Y1 @ sK2) = (n_pl @ Y1 @ Y0)) => (sK2 = Y0))))))))))),
% 2.07/0.69 inference(beta_eta_normalization,[],[f882])).
% 2.07/0.69 thf(f882,plain,(
% 2.07/0.69 ($false = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (((n_pl @ Y2 @ Y0) = (n_pl @ Y2 @ Y1)) => (Y0 = Y1)))))))))) @ sK2))),
% 2.07/0.69 inference(sigma_clausification,[],[f881])).
% 2.07/0.69 thf(f881,plain,(
% 2.07/0.69 ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (((n_pl @ Y2 @ Y0) = (n_pl @ Y2 @ Y1)) => (Y0 = Y1))))))))))))),
% 2.07/0.69 inference(not_proxy_clausification,[],[f771])).
% 2.07/0.69 thf(f771,plain,(
% 2.07/0.69 ((~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (((n_pl @ Y2 @ Y0) = (n_pl @ Y2 @ Y1)) => (Y0 = Y1)))))))))))) = $true)),
% 2.07/0.69 inference(beta_eta_normalization,[],[f721])).
% 2.07/0.69 thf(f721,plain,(
% 2.07/0.69 ((~ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i > $o]: (Y5 @ Y4)))) @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: (!! @ $i @ (^[Y4 : $i]: (((^[Y5 : $i]: ((^[Y6 : $i > $o]: (Y6 @ Y5)))) @ Y4 @ Y2) => (Y3 @ Y4))))))) @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4 = Y5)))))) @ nat @ (n_pl @ Y2 @ Y0) @ (n_pl @ Y2 @ Y1)) => ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4 = Y5)))))) @ nat @ Y0 @ Y1))))))))) = $true)),
% 2.07/0.69 inference(definition_unfolding,[],[f666,f718,f718,f718,f716,f716])).
% 2.07/0.69 thf(f716,plain,(
% 2.07/0.69 (n_is = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))) @ nat))),
% 2.07/0.69 inference(definition_unfolding,[],[f706,f698])).
% 2.07/0.69 thf(f698,plain,(
% 2.07/0.69 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
% 2.07/0.69 inference(cnf_transformation,[],[f543])).
% 2.07/0.69 thf(f543,plain,(
% 2.07/0.69 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
% 2.07/0.69 inference(fool_elimination,[],[f542])).
% 2.07/0.69 thf(f542,plain,(
% 2.07/0.69 ((^[X0 : $i, X1 : $i, X2 : $i] : ((X1 = X2))) = e_is)),
% 2.07/0.69 inference(rectify,[],[f91])).
% 2.07/0.69 thf(f91,axiom,(
% 2.07/0.69 ((^[X0 : $i, X7 : $i, X8 : $i] : ((X7 = X8))) = e_is)),
% 2.07/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_e_is)).
% 2.07/0.69 thf(f706,plain,(
% 2.07/0.69 (n_is = (e_is @ nat))),
% 2.07/0.69 inference(cnf_transformation,[],[f464])).
% 2.07/0.69 thf(f464,plain,(
% 2.07/0.69 (n_is = (e_is @ nat))),
% 2.07/0.69 inference(fool_elimination,[],[f157])).
% 2.07/0.69 thf(f157,axiom,(
% 2.07/0.69 (n_is = (e_is @ nat))),
% 2.07/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_n_is)).
% 2.07/0.69 thf(f718,plain,(
% 2.07/0.69 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 2.07/0.69 inference(definition_unfolding,[],[f679,f676])).
% 2.07/0.69 thf(f676,plain,(
% 2.07/0.69 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 2.07/0.69 inference(cnf_transformation,[],[f639])).
% 2.07/0.69 thf(f639,plain,(
% 2.07/0.69 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 2.07/0.69 inference(fool_elimination,[],[f1])).
% 2.07/0.69 thf(f1,axiom,(
% 2.07/0.69 ((^[X0 : $i, X1 : $i > $o] : (X1 @ X0)) = is_of)),
% 2.07/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_is_of)).
% 2.07/0.69 thf(f679,plain,(
% 2.07/0.69 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 2.07/0.69 inference(cnf_transformation,[],[f410])).
% 2.07/0.69 thf(f410,plain,(
% 2.07/0.69 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 2.07/0.69 inference(fool_elimination,[],[f409])).
% 2.07/0.69 thf(f409,plain,(
% 2.07/0.69 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))),
% 2.07/0.69 inference(rectify,[],[f2])).
% 2.07/0.69 thf(f2,axiom,(
% 2.07/0.69 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))),
% 2.07/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_all_of)).
% 2.07/0.69 thf(f666,plain,(
% 2.07/0.69 ((~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (all_of @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: ((n_is @ (n_pl @ Y2 @ Y0) @ (n_pl @ Y2 @ Y1)) => (n_is @ Y0 @ Y1))))))))) = $true)),
% 2.07/0.69 inference(cnf_transformation,[],[f348])).
% 2.07/0.69 thf(f348,plain,(
% 2.07/0.69 ((~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (all_of @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: ((n_is @ (n_pl @ Y2 @ Y0) @ (n_pl @ Y2 @ Y1)) => (n_is @ Y0 @ Y1))))))))) = $true)),
% 2.07/0.69 inference(fool_elimination,[],[f347])).
% 2.07/0.69 thf(f347,plain,(
% 2.07/0.69 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : (all_of @ (^[X4 : $i] : (in @ X4 @ nat)) @ (^[X5 : $i] : ((n_is @ (n_pl @ X5 @ X1) @ (n_pl @ X5 @ X3)) => (n_is @ X1 @ X3))))))))),
% 2.07/0.69 inference(rectify,[],[f257])).
% 2.07/0.69 thf(f257,negated_conjecture,(
% 2.07/0.69 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X2 : $i] : ((n_is @ (n_pl @ X2 @ X0) @ (n_pl @ X2 @ X1)) => (n_is @ X0 @ X1))))))))),
% 2.07/0.69 inference(negated_conjecture,[],[f256])).
% 2.07/0.69 thf(f256,conjecture,(
% 2.07/0.69 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X2 : $i] : ((n_is @ (n_pl @ X2 @ X0) @ (n_pl @ X2 @ X1)) => (n_is @ X0 @ X1))))))))),
% 2.07/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz20e)).
% 2.07/0.69 thf(f2213,plain,(
% 2.07/0.69 ~spl0_7),
% 2.07/0.69 inference(avatar_contradiction_clause,[],[f2212])).
% 2.07/0.69 thf(f2212,plain,(
% 2.07/0.69 $false | ~spl0_7),
% 2.07/0.69 inference(trivial_inequality_removal,[],[f2211])).
% 2.07/0.69 thf(f2211,plain,(
% 2.07/0.69 (sK2 != sK2) | ~spl0_7),
% 2.07/0.69 inference(superposition,[],[f896,f2179])).
% 2.07/0.69 thf(f2179,plain,(
% 2.07/0.69 (sK2 = sK3) | ~spl0_7),
% 2.07/0.69 inference(avatar_component_clause,[],[f2177])).
% 2.07/0.69 thf(f2177,plain,(
% 2.07/0.69 spl0_7 <=> (sK2 = sK3)),
% 2.07/0.69 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])).
% 2.07/0.69 thf(f896,plain,(
% 2.07/0.69 (sK2 != sK3)),
% 2.07/0.69 inference(equality_proxy_clausification,[],[f894])).
% 2.07/0.69 thf(f894,plain,(
% 2.07/0.69 ((sK2 = sK3) = $false)),
% 2.07/0.69 inference(binary_proxy_clausification,[],[f892])).
% 2.07/0.69 thf(f892,plain,(
% 2.07/0.69 ($false = (((n_pl @ sK4 @ sK2) = (n_pl @ sK4 @ sK3)) => (sK2 = sK3)))),
% 2.07/0.69 inference(binary_proxy_clausification,[],[f891])).
% 2.07/0.69 thf(f891,plain,(
% 2.07/0.69 ($false = ((in @ sK4 @ nat) => (((n_pl @ sK4 @ sK2) = (n_pl @ sK4 @ sK3)) => (sK2 = sK3))))),
% 2.07/0.69 inference(beta_eta_normalization,[],[f890])).
% 2.07/0.69 thf(f890,plain,(
% 2.07/0.69 ($false = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (((n_pl @ Y0 @ sK2) = (n_pl @ Y0 @ sK3)) => (sK2 = sK3)))) @ sK4))),
% 2.07/0.69 inference(sigma_clausification,[],[f888])).
% 2.07/0.69 thf(f888,plain,(
% 2.07/0.69 ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (((n_pl @ Y0 @ sK2) = (n_pl @ Y0 @ sK3)) => (sK2 = sK3))))))),
% 2.07/0.69 inference(binary_proxy_clausification,[],[f887])).
% 2.07/0.69 thf(f887,plain,(
% 2.07/0.69 ($false = ((in @ sK3 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (((n_pl @ Y0 @ sK2) = (n_pl @ Y0 @ sK3)) => (sK2 = sK3)))))))),
% 2.07/0.69 inference(beta_eta_normalization,[],[f886])).
% 2.07/0.69 thf(f886,plain,(
% 2.07/0.69 ($false = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((n_pl @ Y1 @ sK2) = (n_pl @ Y1 @ Y0)) => (sK2 = Y0))))))) @ sK3))),
% 2.07/0.69 inference(sigma_clausification,[],[f884])).
% 2.07/0.69 thf(f884,plain,(
% 2.07/0.69 ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((n_pl @ Y1 @ sK2) = (n_pl @ Y1 @ Y0)) => (sK2 = Y0)))))))))),
% 2.07/0.69 inference(binary_proxy_clausification,[],[f883])).
% 2.07/0.69 thf(f2184,plain,(
% 2.07/0.69 spl0_7 | spl0_8),
% 2.07/0.69 inference(avatar_split_clause,[],[f2175,f2181,f2177])).
% 2.07/0.69 thf(f2175,plain,(
% 2.07/0.69 (sK2 = sK3) | ($false = (in @ sK2 @ nat))),
% 2.07/0.69 inference(trivial_inequality_removal,[],[f2157])).
% 2.07/0.69 thf(f2157,plain,(
% 2.07/0.69 ($false = (in @ sK2 @ nat)) | (sK2 = sK3) | ((n_pl @ sK2 @ sK4) != (n_pl @ sK2 @ sK4))),
% 2.07/0.69 inference(superposition,[],[f1537,f1427])).
% 2.07/0.69 thf(f1427,plain,(
% 2.07/0.69 ((n_pl @ sK2 @ sK4) = (n_pl @ sK4 @ sK2))),
% 2.07/0.69 inference(backward_demodulation,[],[f1100,f1121])).
% 2.07/0.69 thf(f1121,plain,(
% 2.07/0.69 ((n_pl @ sK2 @ sK4) = (n_pl @ sK3 @ sK4))),
% 2.07/0.69 inference(trivial_inequality_removal,[],[f1120])).
% 2.07/0.69 thf(f1120,plain,(
% 2.07/0.69 ($false = $true) | ((n_pl @ sK2 @ sK4) = (n_pl @ sK3 @ sK4))),
% 2.07/0.69 inference(forward_demodulation,[],[f1119,f885])).
% 2.07/0.69 thf(f1119,plain,(
% 2.07/0.69 ($false = (in @ sK2 @ nat)) | ((n_pl @ sK2 @ sK4) = (n_pl @ sK3 @ sK4))),
% 2.07/0.69 inference(trivial_inequality_removal,[],[f1118])).
% 2.07/0.69 thf(f1118,plain,(
% 2.07/0.69 ($false = (in @ sK2 @ nat)) | ((n_pl @ sK2 @ sK4) = (n_pl @ sK3 @ sK4)) | ($false = $true)),
% 2.07/0.69 inference(forward_demodulation,[],[f1116,f893])).
% 2.07/0.69 thf(f893,plain,(
% 2.07/0.69 ((in @ sK4 @ nat) = $true)),
% 2.07/0.69 inference(binary_proxy_clausification,[],[f891])).
% 2.07/0.69 thf(f1116,plain,(
% 2.07/0.69 ($false = (in @ sK4 @ nat)) | ($false = (in @ sK2 @ nat)) | ((n_pl @ sK2 @ sK4) = (n_pl @ sK3 @ sK4))),
% 2.07/0.69 inference(superposition,[],[f833,f1100])).
% 2.07/0.69 thf(f833,plain,(
% 2.07/0.69 ( ! [X2 : $i,X1 : $i] : (((n_pl @ X1 @ X2) = (n_pl @ X2 @ X1)) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false)) )),
% 2.07/0.69 inference(equality_proxy_clausification,[],[f832])).
% 2.07/0.69 thf(f832,plain,(
% 2.07/0.69 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = ((n_pl @ X1 @ X2) = (n_pl @ X2 @ X1))) | ((in @ X2 @ nat) = $false)) )),
% 2.07/0.69 inference(binary_proxy_clausification,[],[f831])).
% 2.07/0.69 thf(f831,plain,(
% 2.07/0.69 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | (((in @ X2 @ nat) => ((n_pl @ X1 @ X2) = (n_pl @ X2 @ X1))) = $true)) )),
% 2.07/0.69 inference(beta_eta_normalization,[],[f830])).
% 2.07/0.69 thf(f830,plain,(
% 2.07/0.69 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | (((^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_pl @ X1 @ Y0) = (n_pl @ Y0 @ X1)))) @ X2) = $true)) )),
% 2.07/0.69 inference(pi_clausification,[],[f829])).
% 2.07/0.69 thf(f829,plain,(
% 2.07/0.69 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_pl @ X1 @ Y0) = (n_pl @ Y0 @ X1))))) = $true) | ((in @ X1 @ nat) = $false)) )),
% 2.07/0.69 inference(binary_proxy_clausification,[],[f828])).
% 2.07/0.69 thf(f828,plain,(
% 2.07/0.69 ( ! [X1 : $i] : (($true = ((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_pl @ X1 @ Y0) = (n_pl @ Y0 @ X1)))))))) )),
% 2.07/0.69 inference(beta_eta_normalization,[],[f827])).
% 2.07/0.69 thf(f827,plain,(
% 2.07/0.69 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((n_pl @ Y0 @ Y1) = (n_pl @ Y1 @ Y0))))))) @ X1) = $true)) )),
% 2.07/0.69 inference(pi_clausification,[],[f774])).
% 2.07/0.69 thf(f774,plain,(
% 2.07/0.69 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((n_pl @ Y0 @ Y1) = (n_pl @ Y1 @ Y0)))))))))),
% 2.07/0.69 inference(beta_eta_normalization,[],[f722])).
% 2.07/0.69 thf(f722,plain,(
% 2.07/0.69 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i > $o]: (Y5 @ Y4)))) @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3 = Y4)))))) @ nat @ (n_pl @ Y0 @ Y1) @ (n_pl @ Y1 @ Y0)))))) = $true)),
% 2.07/0.69 inference(definition_unfolding,[],[f667,f718,f718,f716])).
% 2.07/0.69 thf(f667,plain,(
% 2.07/0.69 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (n_is @ (n_pl @ Y0 @ Y1) @ (n_pl @ Y1 @ Y0)))))) = $true)),
% 2.07/0.69 inference(cnf_transformation,[],[f481])).
% 2.07/0.69 thf(f481,plain,(
% 2.07/0.69 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (n_is @ (n_pl @ Y0 @ Y1) @ (n_pl @ Y1 @ Y0)))))) = $true)),
% 2.07/0.69 inference(fool_elimination,[],[f480])).
% 2.07/0.69 thf(f480,plain,(
% 2.07/0.69 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : (n_is @ (n_pl @ X1 @ X3) @ (n_pl @ X3 @ X1))))))),
% 2.07/0.69 inference(rectify,[],[f197])).
% 2.07/0.69 thf(f197,axiom,(
% 2.07/0.69 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (n_is @ (n_pl @ X0 @ X1) @ (n_pl @ X1 @ X0))))))),
% 2.07/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz6)).
% 2.07/0.69 thf(f1100,plain,(
% 2.07/0.69 ((n_pl @ sK4 @ sK2) = (n_pl @ sK3 @ sK4))),
% 2.07/0.69 inference(trivial_inequality_removal,[],[f1099])).
% 2.07/0.69 thf(f1099,plain,(
% 2.07/0.69 ((n_pl @ sK4 @ sK2) = (n_pl @ sK3 @ sK4)) | ($false = $true)),
% 2.07/0.69 inference(forward_demodulation,[],[f1098,f889])).
% 2.07/0.69 thf(f889,plain,(
% 2.07/0.69 ((in @ sK3 @ nat) = $true)),
% 2.07/0.69 inference(binary_proxy_clausification,[],[f887])).
% 2.07/0.69 thf(f1098,plain,(
% 2.07/0.69 ($false = (in @ sK3 @ nat)) | ((n_pl @ sK4 @ sK2) = (n_pl @ sK3 @ sK4))),
% 2.07/0.69 inference(trivial_inequality_removal,[],[f1097])).
% 2.07/0.69 thf(f1097,plain,(
% 2.07/0.69 ($false = $true) | ($false = (in @ sK3 @ nat)) | ((n_pl @ sK4 @ sK2) = (n_pl @ sK3 @ sK4))),
% 2.07/0.69 inference(forward_demodulation,[],[f1094,f893])).
% 2.07/0.69 thf(f1094,plain,(
% 2.07/0.69 ($false = (in @ sK4 @ nat)) | ($false = (in @ sK3 @ nat)) | ((n_pl @ sK4 @ sK2) = (n_pl @ sK3 @ sK4))),
% 2.07/0.69 inference(superposition,[],[f833,f897])).
% 2.07/0.69 thf(f897,plain,(
% 2.07/0.69 ((n_pl @ sK4 @ sK2) = (n_pl @ sK4 @ sK3))),
% 2.07/0.69 inference(equality_proxy_clausification,[],[f895])).
% 2.07/0.69 thf(f895,plain,(
% 2.07/0.69 (((n_pl @ sK4 @ sK2) = (n_pl @ sK4 @ sK3)) = $true)),
% 2.07/0.69 inference(binary_proxy_clausification,[],[f892])).
% 2.07/0.69 thf(f1537,plain,(
% 2.07/0.69 ( ! [X0 : $i] : (((n_pl @ sK4 @ X0) != (n_pl @ sK2 @ sK4)) | (sK3 = X0) | ((in @ X0 @ nat) = $false)) )),
% 2.07/0.69 inference(trivial_inequality_removal,[],[f1536])).
% 2.07/0.69 thf(f1536,plain,(
% 2.07/0.69 ( ! [X0 : $i] : (((n_pl @ sK4 @ X0) != (n_pl @ sK2 @ sK4)) | (sK3 = X0) | ($false = $true) | ((in @ X0 @ nat) = $false)) )),
% 2.07/0.69 inference(forward_demodulation,[],[f1535,f889])).
% 2.07/0.69 thf(f1535,plain,(
% 2.07/0.69 ( ! [X0 : $i] : (((n_pl @ sK4 @ X0) != (n_pl @ sK2 @ sK4)) | (sK3 = X0) | ($false = (in @ sK3 @ nat)) | ((in @ X0 @ nat) = $false)) )),
% 2.07/0.69 inference(trivial_inequality_removal,[],[f1534])).
% 2.07/0.69 thf(f1534,plain,(
% 2.07/0.69 ( ! [X0 : $i] : (((n_pl @ sK4 @ X0) != (n_pl @ sK2 @ sK4)) | ($false = $true) | ((in @ X0 @ nat) = $false) | (sK3 = X0) | ($false = (in @ sK3 @ nat))) )),
% 2.07/0.69 inference(forward_demodulation,[],[f1508,f893])).
% 2.07/0.69 thf(f1508,plain,(
% 2.07/0.69 ( ! [X0 : $i] : (((in @ X0 @ nat) = $false) | ($false = (in @ sK4 @ nat)) | (sK3 = X0) | ($false = (in @ sK3 @ nat)) | ((n_pl @ sK4 @ X0) != (n_pl @ sK2 @ sK4))) )),
% 2.07/0.69 inference(superposition,[],[f1028,f1426])).
% 2.07/0.69 thf(f1426,plain,(
% 2.07/0.69 ((n_pl @ sK2 @ sK4) = (n_pl @ sK4 @ sK3))),
% 2.07/0.69 inference(backward_demodulation,[],[f1113,f1121])).
% 2.07/0.69 thf(f1113,plain,(
% 2.07/0.69 ((n_pl @ sK4 @ sK3) = (n_pl @ sK3 @ sK4))),
% 2.07/0.69 inference(backward_demodulation,[],[f897,f1100])).
% 2.07/0.69 thf(f1028,plain,(
% 2.07/0.69 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((n_pl @ X1 @ X2) != (n_pl @ X1 @ X3)) | ((in @ X2 @ nat) = $false) | (X2 = X3) | ((in @ X3 @ nat) = $false) | ((in @ X1 @ nat) = $false)) )),
% 2.07/0.69 inference(equality_proxy_clausification,[],[f1027])).
% 2.07/0.69 thf(f1027,plain,(
% 2.07/0.69 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X3 @ nat) = $false) | ((X2 = X3) = $true) | ((in @ X1 @ nat) = $false) | ((n_pl @ X1 @ X2) != (n_pl @ X1 @ X3)) | ((in @ X2 @ nat) = $false)) )),
% 2.07/0.69 inference(equality_proxy_clausification,[],[f1026])).
% 2.07/0.69 thf(f1026,plain,(
% 2.07/0.69 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = ((n_pl @ X1 @ X2) = (n_pl @ X1 @ X3))) | ((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false) | ((X2 = X3) = $true) | ((in @ X3 @ nat) = $false)) )),
% 2.07/0.69 inference(binary_proxy_clausification,[],[f1025])).
% 2.07/0.69 thf(f1025,plain,(
% 2.07/0.69 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X3 @ nat) = $false) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false) | ((((n_pl @ X1 @ X2) = (n_pl @ X1 @ X3)) => (X2 = X3)) = $true)) )),
% 2.07/0.69 inference(binary_proxy_clausification,[],[f1024])).
% 2.07/0.69 thf(f1024,plain,(
% 2.07/0.69 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((in @ X3 @ nat) => (((n_pl @ X1 @ X2) = (n_pl @ X1 @ X3)) => (X2 = X3))) = $true) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false)) )),
% 2.07/0.69 inference(beta_eta_normalization,[],[f1023])).
% 2.07/0.69 thf(f1023,plain,(
% 2.07/0.69 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false) | (((^[Y0 : $i]: ((in @ Y0 @ nat) => (((n_pl @ X1 @ X2) = (n_pl @ X1 @ Y0)) => (X2 = Y0)))) @ X3) = $true)) )),
% 2.07/0.69 inference(pi_clausification,[],[f1022])).
% 2.07/0.69 thf(f1022,plain,(
% 2.07/0.69 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (((n_pl @ X1 @ X2) = (n_pl @ X1 @ Y0)) => (X2 = Y0))))) = $true) | ((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false)) )),
% 2.07/0.69 inference(binary_proxy_clausification,[],[f1021])).
% 2.07/0.69 thf(f1021,plain,(
% 2.07/0.69 ( ! [X2 : $i,X1 : $i] : ((((in @ X2 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (((n_pl @ X1 @ X2) = (n_pl @ X1 @ Y0)) => (X2 = Y0)))))) = $true) | ((in @ X1 @ nat) = $false)) )),
% 2.07/0.69 inference(beta_eta_normalization,[],[f1020])).
% 2.07/0.69 thf(f1020,plain,(
% 2.07/0.69 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((n_pl @ X1 @ Y0) = (n_pl @ X1 @ Y1)) => (Y0 = Y1))))))) @ X2) = $true) | ((in @ X1 @ nat) = $false)) )),
% 2.07/0.69 inference(pi_clausification,[],[f1019])).
% 2.07/0.69 thf(f1019,plain,(
% 2.07/0.69 ( ! [X1 : $i] : (((in @ X1 @ nat) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((n_pl @ X1 @ Y0) = (n_pl @ X1 @ Y1)) => (Y0 = Y1)))))))) = $true)) )),
% 2.07/0.69 inference(binary_proxy_clausification,[],[f1018])).
% 2.07/0.69 thf(f1018,plain,(
% 2.07/0.69 ( ! [X1 : $i] : ((((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((n_pl @ X1 @ Y0) = (n_pl @ X1 @ Y1)) => (Y0 = Y1))))))))) = $true)) )),
% 2.07/0.69 inference(beta_eta_normalization,[],[f1017])).
% 2.07/0.69 thf(f1017,plain,(
% 2.07/0.69 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (((n_pl @ Y0 @ Y1) = (n_pl @ Y0 @ Y2)) => (Y1 = Y2)))))))))) @ X1))) )),
% 2.07/0.69 inference(pi_clausification,[],[f755])).
% 2.07/0.69 thf(f755,plain,(
% 2.07/0.69 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (((n_pl @ Y0 @ Y1) = (n_pl @ Y0 @ Y2)) => (Y1 = Y2))))))))))) = $true)),
% 2.07/0.69 inference(beta_eta_normalization,[],[f741])).
% 2.07/0.69 thf(f741,plain,(
% 2.07/0.69 ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i > $o]: (Y5 @ Y4)))) @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: (!! @ $i @ (^[Y4 : $i]: (((^[Y5 : $i]: ((^[Y6 : $i > $o]: (Y6 @ Y5)))) @ Y4 @ Y2) => (Y3 @ Y4))))))) @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4 = Y5)))))) @ nat @ (n_pl @ Y0 @ Y1) @ (n_pl @ Y0 @ Y2)) => ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4 = Y5)))))) @ nat @ Y1 @ Y2)))))))))),
% 2.07/0.69 inference(definition_unfolding,[],[f701,f718,f718,f718,f716,f716])).
% 2.07/0.69 thf(f701,plain,(
% 2.07/0.69 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (all_of @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: ((n_is @ (n_pl @ Y0 @ Y1) @ (n_pl @ Y0 @ Y2)) => (n_is @ Y1 @ Y2)))))))) = $true)),
% 2.07/0.69 inference(cnf_transformation,[],[f491])).
% 2.07/0.69 thf(f491,plain,(
% 2.07/0.69 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (all_of @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: ((n_is @ (n_pl @ Y0 @ Y1) @ (n_pl @ Y0 @ Y2)) => (n_is @ Y1 @ Y2)))))))) = $true)),
% 2.07/0.69 inference(fool_elimination,[],[f490])).
% 2.07/0.69 thf(f490,plain,(
% 2.07/0.69 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : (all_of @ (^[X4 : $i] : (in @ X4 @ nat)) @ (^[X5 : $i] : ((n_is @ (n_pl @ X1 @ X3) @ (n_pl @ X1 @ X5)) => (n_is @ X3 @ X5))))))))),
% 2.07/0.69 inference(rectify,[],[f202])).
% 2.07/0.69 thf(f202,axiom,(
% 2.07/0.69 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X2 : $i] : ((n_is @ (n_pl @ X0 @ X1) @ (n_pl @ X0 @ X2)) => (n_is @ X1 @ X2))))))))),
% 2.07/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz8a)).
% 2.07/0.69 % SZS output end Proof for theBenchmark
% 2.07/0.69 % (5054)------------------------------
% 2.07/0.69 % (5054)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.07/0.69 % (5054)Termination reason: Refutation
% 2.07/0.69
% 2.07/0.69 % (5054)Memory used [KB]: 7036
% 2.07/0.69 % (5054)Time elapsed: 0.099 s
% 2.07/0.69 % (5054)Instructions burned: 279 (million)
% 2.07/0.69 % (5054)------------------------------
% 2.07/0.69 % (5054)------------------------------
% 2.07/0.69 % (5011)Success in time 0.32 s
%------------------------------------------------------------------------------