TSTP Solution File: NUM683^4 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : NUM683^4 : TPTP v8.2.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n019.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 13:16:36 EDT 2024
% Result : Theorem 1.82s 0.66s
% Output : Refutation 1.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM683^4 : TPTP v8.2.0. Released v7.1.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n019.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 23:28:54 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 This is a TH0_THM_EQU_NAR problem
% 0.12/0.36 Running higher-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.21/0.39 % (13046)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)
% 0.21/0.39 % (13045)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)
% 0.21/0.39 % (13048)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)
% 0.21/0.39 % (13044)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.21/0.39 % (13047)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.39 % (13049)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)
% 0.21/0.39 % (13050)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.39 % (13047)Instruction limit reached!
% 0.21/0.39 % (13047)------------------------------
% 0.21/0.39 % (13047)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.39 % (13047)Termination reason: Unknown
% 0.21/0.39 % (13047)Termination phase: shuffling
% 0.21/0.39 % (13048)Instruction limit reached!
% 0.21/0.39 % (13048)------------------------------
% 0.21/0.39 % (13048)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.39 % (13048)Termination reason: Unknown
% 0.21/0.39 % (13048)Termination phase: shuffling
% 0.21/0.39
% 0.21/0.39 % (13048)Memory used [KB]: 1407
% 0.21/0.39 % (13048)Time elapsed: 0.004 s
% 0.21/0.39 % (13048)Instructions burned: 3 (million)
% 0.21/0.39 % (13048)------------------------------
% 0.21/0.39 % (13048)------------------------------
% 0.21/0.39
% 0.21/0.39 % (13047)Memory used [KB]: 1279
% 0.21/0.39 % (13047)Time elapsed: 0.004 s
% 0.21/0.39 % (13047)Instructions burned: 3 (million)
% 0.21/0.39 % (13047)------------------------------
% 0.21/0.39 % (13047)------------------------------
% 0.21/0.39 % (13045)Instruction limit reached!
% 0.21/0.39 % (13045)------------------------------
% 0.21/0.39 % (13045)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.39 % (13045)Termination reason: Unknown
% 0.21/0.39 % (13045)Termination phase: shuffling
% 0.21/0.39
% 0.21/0.39 % (13045)Memory used [KB]: 1407
% 0.21/0.39 % (13045)Time elapsed: 0.005 s
% 0.21/0.39 % (13045)Instructions burned: 5 (million)
% 0.21/0.39 % (13045)------------------------------
% 0.21/0.39 % (13045)------------------------------
% 0.21/0.40 % (13050)Instruction limit reached!
% 0.21/0.40 % (13050)------------------------------
% 0.21/0.40 % (13050)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.40 % (13050)Termination reason: Unknown
% 0.21/0.40 % (13050)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (13050)Memory used [KB]: 1663
% 0.21/0.40 % (13050)Time elapsed: 0.012 s
% 0.21/0.40 % (13050)Instructions burned: 18 (million)
% 0.21/0.40 % (13050)------------------------------
% 0.21/0.40 % (13050)------------------------------
% 0.21/0.41 % (13046)Instruction limit reached!
% 0.21/0.41 % (13046)------------------------------
% 0.21/0.41 % (13046)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41 % (13046)Termination reason: Unknown
% 0.21/0.41 % (13046)Termination phase: Property scanning
% 0.21/0.41
% 0.21/0.41 % (13046)Memory used [KB]: 1663
% 0.21/0.41 % (13046)Time elapsed: 0.017 s
% 0.21/0.41 % (13046)Instructions burned: 27 (million)
% 0.21/0.41 % (13046)------------------------------
% 0.21/0.41 % (13046)------------------------------
% 0.21/0.41 % (13051)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)
% 0.21/0.41 % (13052)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)
% 0.21/0.41 % (13053)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)
% 0.21/0.41 % (13051)Instruction limit reached!
% 0.21/0.41 % (13051)------------------------------
% 0.21/0.41 % (13051)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41 % (13051)Termination reason: Unknown
% 0.21/0.41 % (13051)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (13051)Memory used [KB]: 1407
% 0.21/0.41 % (13051)Time elapsed: 0.004 s
% 0.21/0.41 % (13051)Instructions burned: 3 (million)
% 0.21/0.41 % (13051)------------------------------
% 0.21/0.41 % (13051)------------------------------
% 0.21/0.42 % (13054)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.42 % (13053)Instruction limit reached!
% 0.21/0.42 % (13053)------------------------------
% 0.21/0.42 % (13053)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (13053)Termination reason: Unknown
% 0.21/0.42 % (13053)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (13053)Memory used [KB]: 1663
% 0.21/0.42 % (13053)Time elapsed: 0.011 s
% 0.21/0.42 % (13053)Instructions burned: 16 (million)
% 0.21/0.42 % (13053)------------------------------
% 0.21/0.42 % (13053)------------------------------
% 0.21/0.42 % (13054)Instruction limit reached!
% 0.21/0.42 % (13054)------------------------------
% 0.21/0.42 % (13054)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (13054)Termination reason: Unknown
% 0.21/0.42 % (13054)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (13054)Memory used [KB]: 1407
% 0.21/0.42 % (13054)Time elapsed: 0.004 s
% 0.21/0.42 % (13054)Instructions burned: 3 (million)
% 0.21/0.42 % (13054)------------------------------
% 0.21/0.42 % (13054)------------------------------
% 0.21/0.42 % (13049)Refutation not found, incomplete strategy
% 0.21/0.42 % (13049)------------------------------
% 0.21/0.42 % (13049)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (13049)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42
% 0.21/0.42
% 0.21/0.42 % (13049)Memory used [KB]: 6268
% 0.21/0.42 % (13049)Time elapsed: 0.030 s
% 0.21/0.42 % (13049)Instructions burned: 53 (million)
% 0.21/0.42 % (13049)------------------------------
% 0.21/0.42 % (13049)------------------------------
% 0.21/0.42 % (13055)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)
% 0.21/0.43 % (13056)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.43 % (13052)Instruction limit reached!
% 0.21/0.43 % (13052)------------------------------
% 0.21/0.43 % (13052)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (13052)Termination reason: Unknown
% 0.21/0.43 % (13052)Termination phase: Property scanning
% 0.21/0.43
% 0.21/0.43 % (13052)Memory used [KB]: 1918
% 0.21/0.43 % (13052)Time elapsed: 0.021 s
% 0.21/0.43 % (13052)Instructions burned: 38 (million)
% 0.21/0.43 % (13052)------------------------------
% 0.21/0.43 % (13052)------------------------------
% 0.21/0.43 % (13056)Instruction limit reached!
% 0.21/0.43 % (13056)------------------------------
% 0.21/0.43 % (13056)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (13056)Termination reason: Unknown
% 0.21/0.43 % (13056)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (13056)Memory used [KB]: 1407
% 0.21/0.43 % (13056)Time elapsed: 0.006 s
% 0.21/0.43 % (13056)Instructions burned: 7 (million)
% 0.21/0.43 % (13056)------------------------------
% 0.21/0.43 % (13056)------------------------------
% 0.21/0.44 % (13057)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.44 % (13058)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.44 % (13059)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.44 % (13058)Instruction limit reached!
% 0.21/0.44 % (13058)------------------------------
% 0.21/0.44 % (13058)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.44 % (13058)Termination reason: Unknown
% 0.21/0.44 % (13058)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (13058)Memory used [KB]: 1407
% 0.21/0.44 % (13058)Time elapsed: 0.004 s
% 0.21/0.44 % (13058)Instructions burned: 3 (million)
% 0.21/0.44 % (13058)------------------------------
% 0.21/0.44 % (13058)------------------------------
% 0.21/0.44 % (13059)Instruction limit reached!
% 0.21/0.44 % (13059)------------------------------
% 0.21/0.44 % (13059)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.44 % (13059)Termination reason: Unknown
% 0.21/0.44 % (13059)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (13059)Memory used [KB]: 1407
% 0.21/0.44 % (13059)Time elapsed: 0.004 s
% 0.21/0.44 % (13059)Instructions burned: 3 (million)
% 0.21/0.44 % (13059)------------------------------
% 0.21/0.44 % (13059)------------------------------
% 0.21/0.44 % (13057)Instruction limit reached!
% 0.21/0.44 % (13057)------------------------------
% 0.21/0.44 % (13057)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.44 % (13057)Termination reason: Unknown
% 0.21/0.44 % (13057)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (13057)Memory used [KB]: 1535
% 0.21/0.44 % (13057)Time elapsed: 0.011 s
% 0.21/0.44 % (13057)Instructions burned: 16 (million)
% 0.21/0.44 % (13057)------------------------------
% 0.21/0.44 % (13057)------------------------------
% 0.21/0.44 % (13060)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.45 % (13061)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.45 % (13060)Instruction limit reached!
% 0.21/0.45 % (13060)------------------------------
% 0.21/0.45 % (13060)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.45 % (13060)Termination reason: Unknown
% 0.21/0.45 % (13060)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (13060)Memory used [KB]: 1407
% 0.21/0.45 % (13060)Time elapsed: 0.006 s
% 0.21/0.45 % (13060)Instructions burned: 7 (million)
% 0.21/0.45 % (13060)------------------------------
% 0.21/0.45 % (13060)------------------------------
% 0.21/0.45 % (13061)Instruction limit reached!
% 0.21/0.45 % (13061)------------------------------
% 0.21/0.45 % (13061)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.45 % (13061)Termination reason: Unknown
% 0.21/0.45 % (13061)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (13061)Memory used [KB]: 1407
% 0.21/0.45 % (13061)Time elapsed: 0.004 s
% 0.21/0.45 % (13061)Instructions burned: 4 (million)
% 0.21/0.45 % (13061)------------------------------
% 0.21/0.45 % (13061)------------------------------
% 0.21/0.45 % (13062)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.45 % (13063)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.46 % (13062)Instruction limit reached!
% 0.21/0.46 % (13062)------------------------------
% 0.21/0.46 % (13062)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.46 % (13062)Termination reason: Unknown
% 0.21/0.46 % (13062)Termination phase: shuffling
% 0.21/0.46
% 0.21/0.46 % (13062)Memory used [KB]: 1407
% 0.21/0.46 % (13062)Time elapsed: 0.004 s
% 0.21/0.46 % (13062)Instructions burned: 4 (million)
% 0.21/0.46 % (13062)------------------------------
% 0.21/0.46 % (13062)------------------------------
% 0.21/0.46 % (13064)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.46 % (13065)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.46 % (13063)Instruction limit reached!
% 0.21/0.46 % (13063)------------------------------
% 0.21/0.46 % (13063)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.46 % (13063)Termination reason: Unknown
% 0.21/0.46 % (13063)Termination phase: shuffling
% 0.21/0.46
% 0.21/0.46 % (13063)Memory used [KB]: 1663
% 0.21/0.46 % (13063)Time elapsed: 0.012 s
% 0.21/0.46 % (13063)Instructions burned: 18 (million)
% 0.21/0.46 % (13063)------------------------------
% 0.21/0.46 % (13063)------------------------------
% 0.21/0.46 % (13066)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.21/0.47 % (13067)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.21/0.47 % (13044)Instruction limit reached!
% 0.21/0.47 % (13044)------------------------------
% 0.21/0.47 % (13044)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.47 % (13044)Termination reason: Unknown
% 0.21/0.47 % (13044)Termination phase: Function definition elimination
% 0.21/0.47
% 0.21/0.47 % (13044)Memory used [KB]: 2046
% 0.21/0.47 % (13044)Time elapsed: 0.078 s
% 0.21/0.47 % (13044)Instructions burned: 183 (million)
% 0.21/0.47 % (13044)------------------------------
% 0.21/0.47 % (13044)------------------------------
% 0.21/0.47 % (13065)Instruction limit reached!
% 0.21/0.47 % (13065)------------------------------
% 0.21/0.47 % (13065)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.47 % (13065)Termination reason: Unknown
% 0.21/0.47 % (13065)Termination phase: shuffling
% 0.21/0.47
% 0.21/0.47 % (13065)Memory used [KB]: 1407
% 0.21/0.47 % (13065)Time elapsed: 0.006 s
% 0.21/0.47 % (13065)Instructions burned: 7 (million)
% 0.21/0.47 % (13065)------------------------------
% 0.21/0.47 % (13065)------------------------------
% 0.21/0.47 % (13067)Instruction limit reached!
% 0.21/0.47 % (13067)------------------------------
% 0.21/0.47 % (13067)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.47 % (13067)Termination reason: Unknown
% 0.21/0.47 % (13067)Termination phase: shuffling
% 0.21/0.47
% 0.21/0.47 % (13067)Memory used [KB]: 1663
% 0.21/0.47 % (13067)Time elapsed: 0.008 s
% 0.21/0.47 % (13067)Instructions burned: 21 (million)
% 0.21/0.47 % (13067)------------------------------
% 0.21/0.47 % (13067)------------------------------
% 0.21/0.48 % (13068)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.21/0.48 % (13071)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)
% 0.21/0.48 % (13068)Instruction limit reached!
% 0.21/0.48 % (13068)------------------------------
% 0.21/0.48 % (13068)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.48 % (13068)Termination reason: Unknown
% 0.21/0.48 % (13068)Termination phase: shuffling
% 0.21/0.48
% 0.21/0.48 % (13068)Memory used [KB]: 1407
% 0.21/0.48 % (13068)Time elapsed: 0.005 s
% 0.21/0.48 % (13068)Instructions burned: 6 (million)
% 0.21/0.48 % (13068)------------------------------
% 0.21/0.48 % (13068)------------------------------
% 0.21/0.48 % (13070)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.21/0.48 % (13069)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)
% 0.21/0.49 % (13069)Instruction limit reached!
% 0.21/0.49 % (13069)------------------------------
% 0.21/0.49 % (13069)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.49 % (13069)Termination reason: Unknown
% 0.21/0.49 % (13069)Termination phase: shuffling
% 0.21/0.49
% 0.21/0.49 % (13069)Memory used [KB]: 1407
% 0.21/0.49 % (13069)Time elapsed: 0.005 s
% 0.21/0.49 % (13069)Instructions burned: 6 (million)
% 0.21/0.49 % (13069)------------------------------
% 0.21/0.49 % (13069)------------------------------
% 0.21/0.50 % (13072)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)
% 0.21/0.51 % (13072)Instruction limit reached!
% 0.21/0.51 % (13072)------------------------------
% 0.21/0.51 % (13072)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.51 % (13072)Termination reason: Unknown
% 0.21/0.51 % (13072)Termination phase: shuffling
% 0.21/0.51
% 0.21/0.51 % (13072)Memory used [KB]: 1663
% 0.21/0.51 % (13072)Time elapsed: 0.010 s
% 0.21/0.51 % (13072)Instructions burned: 21 (million)
% 0.21/0.51 % (13072)------------------------------
% 0.21/0.51 % (13072)------------------------------
% 0.21/0.51 % (13073)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)
% 1.09/0.52 % (13066)Refutation not found, incomplete strategy
% 1.09/0.52 % (13066)------------------------------
% 1.09/0.52 % (13066)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.09/0.52 % (13066)Termination reason: Refutation not found, incomplete strategy
% 1.09/0.52
% 1.09/0.52
% 1.09/0.52 % (13066)Memory used [KB]: 6652
% 1.09/0.52 % (13066)Time elapsed: 0.048 s
% 1.09/0.52 % (13074)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 1.09/0.52 % (13066)Instructions burned: 91 (million)
% 1.09/0.52 % (13066)------------------------------
% 1.09/0.52 % (13066)------------------------------
% 1.09/0.52 % (13074)Instruction limit reached!
% 1.09/0.52 % (13074)------------------------------
% 1.09/0.52 % (13074)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.09/0.52 % (13074)Termination reason: Unknown
% 1.09/0.52 % (13074)Termination phase: shuffling
% 1.09/0.52
% 1.09/0.52 % (13074)Memory used [KB]: 1663
% 1.09/0.52 % (13074)Time elapsed: 0.007 s
% 1.09/0.52 % (13074)Instructions burned: 19 (million)
% 1.09/0.52 % (13074)------------------------------
% 1.09/0.52 % (13074)------------------------------
% 1.09/0.53 % (13075)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.09/0.53 % (13075)Instruction limit reached!
% 1.09/0.53 % (13075)------------------------------
% 1.09/0.53 % (13075)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.09/0.53 % (13075)Termination reason: Unknown
% 1.09/0.53 % (13075)Termination phase: shuffling
% 1.09/0.53
% 1.09/0.53 % (13075)Memory used [KB]: 1279
% 1.09/0.53 % (13075)Time elapsed: 0.002 s
% 1.09/0.53 % (13075)Instructions burned: 3 (million)
% 1.09/0.53 % (13075)------------------------------
% 1.09/0.53 % (13075)------------------------------
% 1.09/0.53 % (13076)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.22/0.54 % (13077)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)
% 1.22/0.54 % (13076)Instruction limit reached!
% 1.22/0.54 % (13076)------------------------------
% 1.22/0.54 % (13076)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.22/0.54 % (13076)Termination reason: Unknown
% 1.22/0.54 % (13076)Termination phase: Property scanning
% 1.22/0.54
% 1.22/0.54 % (13076)Memory used [KB]: 1663
% 1.22/0.54 % (13076)Time elapsed: 0.011 s
% 1.22/0.54 % (13076)Instructions burned: 31 (million)
% 1.22/0.54 % (13076)------------------------------
% 1.22/0.54 % (13076)------------------------------
% 1.22/0.55 % (13073)Refutation not found, incomplete strategy
% 1.22/0.55 % (13073)------------------------------
% 1.22/0.55 % (13073)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.22/0.55 % (13073)Termination reason: Refutation not found, incomplete strategy
% 1.22/0.55
% 1.22/0.55
% 1.22/0.55 % (13073)Memory used [KB]: 6524
% 1.22/0.55 % (13073)Time elapsed: 0.038 s
% 1.22/0.55 % (13073)Instructions burned: 116 (million)
% 1.22/0.55 % (13073)------------------------------
% 1.22/0.55 % (13073)------------------------------
% 1.22/0.55 % (13078)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)
% 1.22/0.56 % (13079)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)
% 1.22/0.56 % (13079)Instruction limit reached!
% 1.22/0.56 % (13079)------------------------------
% 1.22/0.56 % (13079)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.22/0.56 % (13079)Termination reason: Unknown
% 1.22/0.56 % (13079)Termination phase: shuffling
% 1.22/0.56
% 1.22/0.56 % (13079)Memory used [KB]: 1407
% 1.22/0.56 % (13079)Time elapsed: 0.003 s
% 1.22/0.56 % (13079)Instructions burned: 4 (million)
% 1.22/0.56 % (13079)------------------------------
% 1.22/0.56 % (13079)------------------------------
% 1.22/0.57 % (13080)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)
% 1.22/0.57 % (13077)Instruction limit reached!
% 1.22/0.57 % (13077)------------------------------
% 1.22/0.57 % (13077)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.22/0.57 % (13077)Termination reason: Unknown
% 1.22/0.57 % (13077)Termination phase: Function definition elimination
% 1.22/0.57
% 1.22/0.57 % (13077)Memory used [KB]: 2046
% 1.22/0.57 % (13077)Time elapsed: 0.034 s
% 1.22/0.57 % (13077)Instructions burned: 131 (million)
% 1.22/0.57 % (13077)------------------------------
% 1.22/0.57 % (13077)------------------------------
% 1.22/0.57 % (13080)Instruction limit reached!
% 1.22/0.57 % (13080)------------------------------
% 1.22/0.57 % (13080)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.22/0.57 % (13080)Termination reason: Unknown
% 1.22/0.57 % (13080)Termination phase: shuffling
% 1.22/0.57
% 1.22/0.57 % (13080)Memory used [KB]: 1663
% 1.22/0.57 % (13080)Time elapsed: 0.008 s
% 1.22/0.57 % (13080)Instructions burned: 20 (million)
% 1.22/0.57 % (13080)------------------------------
% 1.22/0.57 % (13080)------------------------------
% 1.22/0.57 % (13070)Instruction limit reached!
% 1.22/0.57 % (13070)------------------------------
% 1.22/0.57 % (13070)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.22/0.57 % (13070)Termination reason: Unknown
% 1.22/0.57 % (13070)Termination phase: Function definition elimination
% 1.22/0.57
% 1.22/0.57 % (13070)Memory used [KB]: 2046
% 1.22/0.57 % (13070)Time elapsed: 0.092 s
% 1.22/0.57 % (13070)Instructions burned: 380 (million)
% 1.22/0.57 % (13070)------------------------------
% 1.22/0.57 % (13070)------------------------------
% 1.22/0.58 % (13078)Instruction limit reached!
% 1.22/0.58 % (13078)------------------------------
% 1.22/0.58 % (13078)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.22/0.58 % (13078)Termination reason: Unknown
% 1.22/0.58 % (13078)Termination phase: Function definition elimination
% 1.22/0.58
% 1.22/0.58 % (13078)Memory used [KB]: 2046
% 1.22/0.58 % (13078)Time elapsed: 0.027 s
% 1.22/0.58 % (13078)Instructions burned: 101 (million)
% 1.22/0.58 % (13078)------------------------------
% 1.22/0.58 % (13078)------------------------------
% 1.22/0.58 % (13081)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 (2997ds/86Mi)
% 1.22/0.58 % (13082)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)
% 1.22/0.58 % (13083)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)
% 1.22/0.58 % (13084)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)
% 1.22/0.59 % (13083)Instruction limit reached!
% 1.22/0.59 % (13083)------------------------------
% 1.22/0.59 % (13083)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.22/0.59 % (13083)Termination reason: Unknown
% 1.22/0.59 % (13083)Termination phase: Property scanning
% 1.22/0.59
% 1.22/0.59 % (13083)Memory used [KB]: 1918
% 1.22/0.59 % (13083)Time elapsed: 0.013 s
% 1.22/0.59 % (13083)Instructions burned: 40 (million)
% 1.22/0.59 % (13083)------------------------------
% 1.22/0.59 % (13083)------------------------------
% 1.22/0.60 % (13081)Instruction limit reached!
% 1.22/0.60 % (13081)------------------------------
% 1.22/0.60 % (13081)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.22/0.60 % (13081)Termination reason: Unknown
% 1.22/0.60 % (13081)Termination phase: Function definition elimination
% 1.22/0.60
% 1.22/0.60 % (13081)Memory used [KB]: 2046
% 1.22/0.60 % (13081)Time elapsed: 0.025 s
% 1.22/0.60 % (13081)Instructions burned: 86 (million)
% 1.22/0.60 % (13081)------------------------------
% 1.22/0.60 % (13081)------------------------------
% 1.22/0.60 % (13085)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)
% 1.22/0.61 % (13086)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)
% 1.22/0.61 % (13082)Instruction limit reached!
% 1.22/0.61 % (13082)------------------------------
% 1.22/0.61 % (13082)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.22/0.61 % (13082)Termination reason: Unknown
% 1.22/0.61 % (13082)Termination phase: Saturation
% 1.22/0.61
% 1.22/0.61 % (13082)Memory used [KB]: 6652
% 1.22/0.61 % (13082)Time elapsed: 0.033 s
% 1.22/0.61 % (13082)Instructions burned: 109 (million)
% 1.22/0.61 % (13082)------------------------------
% 1.22/0.61 % (13082)------------------------------
% 1.22/0.62 % (13085)Instruction limit reached!
% 1.22/0.62 % (13085)------------------------------
% 1.22/0.62 % (13085)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.22/0.62 % (13085)Termination reason: Unknown
% 1.22/0.62 % (13085)Termination phase: SInE selection
% 1.22/0.62
% 1.22/0.62 % (13085)Memory used [KB]: 1791
% 1.22/0.62 % (13085)Time elapsed: 0.015 s
% 1.22/0.62 % (13085)Instructions burned: 46 (million)
% 1.22/0.62 % (13085)------------------------------
% 1.22/0.62 % (13085)------------------------------
% 1.22/0.62 % (13087)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)
% 1.22/0.63 % (13088)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)
% 1.82/0.64 % (13086)Instruction limit reached!
% 1.82/0.64 % (13086)------------------------------
% 1.82/0.64 % (13086)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.82/0.64 % (13086)Termination reason: Unknown
% 1.82/0.64 % (13086)Termination phase: Function definition elimination
% 1.82/0.64
% 1.82/0.64 % (13086)Memory used [KB]: 2046
% 1.82/0.64 % (13086)Time elapsed: 0.027 s
% 1.82/0.64 % (13086)Instructions burned: 99 (million)
% 1.82/0.64 % (13086)------------------------------
% 1.82/0.64 % (13086)------------------------------
% 1.82/0.65 % (13089)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.82/0.66 % (13084)First to succeed.
% 1.82/0.66 % (13089)Instruction limit reached!
% 1.82/0.66 % (13089)------------------------------
% 1.82/0.66 % (13089)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.82/0.66 % (13089)Termination reason: Unknown
% 1.82/0.66 % (13089)Termination phase: Property scanning
% 1.82/0.66
% 1.82/0.66 % (13089)Memory used [KB]: 1663
% 1.82/0.66 % (13089)Time elapsed: 0.014 s
% 1.82/0.66 % (13089)Instructions burned: 40 (million)
% 1.82/0.66 % (13089)------------------------------
% 1.82/0.66 % (13089)------------------------------
% 1.82/0.66 % (13084)Refutation found. Thanks to Tanya!
% 1.82/0.66 % SZS status Theorem for theBenchmark
% 1.82/0.66 % SZS output start Proof for theBenchmark
% 1.82/0.66 thf(func_def_0, type, is_of: $i > ($i > $o) > $o).
% 1.82/0.66 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o).
% 1.82/0.66 thf(func_def_3, type, eps: ($i > $o) > $i).
% 1.82/0.66 thf(func_def_4, type, in: $i > $i > $o).
% 1.82/0.66 thf(func_def_5, type, d_Subq: $i > $i > $o).
% 1.82/0.66 thf(func_def_7, type, union: $i > $i).
% 1.82/0.66 thf(func_def_8, type, power: $i > $i).
% 1.82/0.66 thf(func_def_9, type, repl: $i > ($i > $i) > $i).
% 1.82/0.66 thf(func_def_10, type, d_Union_closed: $i > $o).
% 1.82/0.66 thf(func_def_11, type, d_Power_closed: $i > $o).
% 1.82/0.66 thf(func_def_12, type, d_Repl_closed: $i > $o).
% 1.82/0.66 thf(func_def_13, type, d_ZF_closed: $i > $o).
% 1.82/0.66 thf(func_def_14, type, univof: $i > $i).
% 1.82/0.66 thf(func_def_15, type, if: $o > $i > $i > $i).
% 1.82/0.66 thf(func_def_16, type, nIn: $i > $i > $o).
% 1.82/0.66 thf(func_def_17, type, d_UPair: $i > $i > $i).
% 1.82/0.66 thf(func_def_18, type, d_Sing: $i > $i).
% 1.82/0.66 thf(func_def_19, type, binunion: $i > $i > $i).
% 1.82/0.66 thf(func_def_20, type, famunion: $i > ($i > $i) > $i).
% 1.82/0.66 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i).
% 1.82/0.66 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
% 1.82/0.66 thf(func_def_23, type, setminus: $i > $i > $i).
% 1.82/0.66 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o).
% 1.82/0.66 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i).
% 1.82/0.66 thf(func_def_26, type, ordsucc: $i > $i).
% 1.82/0.66 thf(func_def_27, type, nat_p: $i > $o).
% 1.82/0.66 thf(func_def_29, type, d_Inj1: $i > $i).
% 1.82/0.66 thf(func_def_30, type, d_Inj0: $i > $i).
% 1.82/0.66 thf(func_def_31, type, d_Unj: $i > $i).
% 1.82/0.66 thf(func_def_32, type, pair: $i > $i > $i).
% 1.82/0.66 thf(func_def_33, type, proj0: $i > $i).
% 1.82/0.66 thf(func_def_34, type, proj1: $i > $i).
% 1.82/0.66 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i).
% 1.82/0.66 thf(func_def_36, type, setprod: $i > $i > $i).
% 1.82/0.66 thf(func_def_37, type, ap: $i > $i > $i).
% 1.82/0.66 thf(func_def_38, type, pair_p: $i > $o).
% 1.82/0.66 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i).
% 1.82/0.66 thf(func_def_40, type, imp: $o > $o > $o).
% 1.82/0.66 thf(func_def_41, type, d_not: $o > $o).
% 1.82/0.66 thf(func_def_42, type, wel: $o > $o).
% 1.82/0.66 thf(func_def_44, type, l_ec: $o > $o > $o).
% 1.82/0.66 thf(func_def_45, type, d_and: $o > $o > $o).
% 1.82/0.66 thf(func_def_46, type, l_or: $o > $o > $o).
% 1.82/0.66 thf(func_def_47, type, orec: $o > $o > $o).
% 1.82/0.66 thf(func_def_48, type, l_iff: $o > $o > $o).
% 1.82/0.66 thf(func_def_49, type, all: $i > ($i > $o) > $o).
% 1.82/0.66 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o).
% 1.82/0.66 thf(func_def_51, type, l_some: $i > ($i > $o) > $o).
% 1.82/0.66 thf(func_def_52, type, or3: $o > $o > $o > $o).
% 1.82/0.66 thf(func_def_53, type, and3: $o > $o > $o > $o).
% 1.82/0.66 thf(func_def_54, type, ec3: $o > $o > $o > $o).
% 1.82/0.66 thf(func_def_55, type, orec3: $o > $o > $o > $o).
% 1.82/0.66 thf(func_def_56, type, e_is: $i > $i > $i > $o).
% 1.82/0.66 thf(func_def_57, type, amone: $i > ($i > $o) > $o).
% 1.82/0.66 thf(func_def_58, type, one: $i > ($i > $o) > $o).
% 1.82/0.66 thf(func_def_59, type, ind: $i > ($i > $o) > $i).
% 1.82/0.66 thf(func_def_60, type, injective: $i > $i > $i > $o).
% 1.82/0.66 thf(func_def_61, type, image: $i > $i > $i > $i > $o).
% 1.82/0.66 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i).
% 1.82/0.66 thf(func_def_63, type, soft: $i > $i > $i > $i > $i).
% 1.82/0.66 thf(func_def_64, type, inverse: $i > $i > $i > $i).
% 1.82/0.66 thf(func_def_65, type, surjective: $i > $i > $i > $o).
% 1.82/0.66 thf(func_def_66, type, bijective: $i > $i > $i > $o).
% 1.82/0.66 thf(func_def_67, type, invf: $i > $i > $i > $i).
% 1.82/0.66 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i).
% 1.82/0.66 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i).
% 1.82/0.66 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i).
% 1.82/0.66 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i).
% 1.82/0.66 thf(func_def_72, type, first: $i > $i > $i > $i).
% 1.82/0.66 thf(func_def_73, type, second: $i > $i > $i > $i).
% 1.82/0.66 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o).
% 1.82/0.66 thf(func_def_75, type, ite: $o > $i > $i > $i > $i).
% 1.82/0.66 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i).
% 1.82/0.66 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i).
% 1.82/0.66 thf(func_def_78, type, wissel: $i > $i > $i > $i).
% 1.82/0.66 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i).
% 1.82/0.66 thf(func_def_80, type, r_ec: $o > $o > $o).
% 1.82/0.66 thf(func_def_81, type, esti: $i > $i > $i > $o).
% 1.82/0.66 thf(func_def_82, type, empty: $i > $i > $o).
% 1.82/0.66 thf(func_def_83, type, nonempty: $i > $i > $o).
% 1.82/0.66 thf(func_def_84, type, incl: $i > $i > $i > $o).
% 1.82/0.66 thf(func_def_85, type, st_disj: $i > $i > $i > $o).
% 1.82/0.66 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o).
% 1.82/0.66 thf(func_def_87, type, unmore: $i > $i > $i > $i).
% 1.82/0.66 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i).
% 1.82/0.66 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o).
% 1.82/0.66 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o).
% 1.82/0.66 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i).
% 1.82/0.66 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i).
% 1.82/0.66 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i).
% 1.82/0.66 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i).
% 1.82/0.66 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o).
% 1.82/0.66 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o).
% 1.82/0.66 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o).
% 1.82/0.66 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 1.82/0.66 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o).
% 1.82/0.66 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 1.82/0.66 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i).
% 1.82/0.66 thf(func_def_103, type, n_is: $i > $i > $o).
% 1.82/0.66 thf(func_def_104, type, nis: $i > $i > $o).
% 1.82/0.66 thf(func_def_105, type, n_in: $i > $i > $o).
% 1.82/0.66 thf(func_def_106, type, n_some: ($i > $o) > $o).
% 1.82/0.66 thf(func_def_107, type, n_all: ($i > $o) > $o).
% 1.82/0.66 thf(func_def_108, type, n_one: ($i > $o) > $o).
% 1.82/0.66 thf(func_def_110, type, cond1: $i > $o).
% 1.82/0.66 thf(func_def_111, type, cond2: $i > $o).
% 1.82/0.66 thf(func_def_112, type, i1_s: ($i > $o) > $i).
% 1.82/0.66 thf(func_def_113, type, d_22_prop1: $i > $o).
% 1.82/0.66 thf(func_def_114, type, d_23_prop1: $i > $o).
% 1.82/0.66 thf(func_def_115, type, d_24_prop1: $i > $o).
% 1.82/0.66 thf(func_def_116, type, d_24_prop2: $i > $i > $o).
% 1.82/0.66 thf(func_def_117, type, prop3: $i > $i > $i > $o).
% 1.82/0.66 thf(func_def_118, type, prop4: $i > $o).
% 1.82/0.66 thf(func_def_119, type, d_24_g: $i > $i).
% 1.82/0.66 thf(func_def_120, type, plus: $i > $i).
% 1.82/0.66 thf(func_def_121, type, n_pl: $i > $i > $i).
% 1.82/0.66 thf(func_def_122, type, d_25_prop1: $i > $i > $i > $o).
% 1.82/0.66 thf(func_def_123, type, d_26_prop1: $i > $i > $o).
% 1.82/0.66 thf(func_def_124, type, d_27_prop1: $i > $i > $o).
% 1.82/0.66 thf(func_def_125, type, d_28_prop1: $i > $i > $i > $o).
% 1.82/0.66 thf(func_def_126, type, diffprop: $i > $i > $i > $o).
% 1.82/0.66 thf(func_def_127, type, d_29_ii: $i > $i > $o).
% 1.82/0.66 thf(func_def_128, type, iii: $i > $i > $o).
% 1.82/0.66 thf(func_def_129, type, d_29_prop1: $i > $i > $o).
% 1.82/0.66 thf(func_def_130, type, moreis: $i > $i > $o).
% 1.82/0.66 thf(func_def_131, type, lessis: $i > $i > $o).
% 1.82/0.66 thf(func_def_152, type, sK1: ($i > $i) > ($i > $i) > $i > $i).
% 1.82/0.66 thf(func_def_153, type, sK2: ($i > $o) > $i).
% 1.82/0.66 thf(f1821,plain,(
% 1.82/0.66 $false),
% 1.82/0.66 inference(trivial_inequality_removal,[],[f1820])).
% 1.82/0.66 thf(f1820,plain,(
% 1.82/0.66 ($true = $false)),
% 1.82/0.66 inference(backward_demodulation,[],[f1218,f1811])).
% 1.82/0.66 thf(f1811,plain,(
% 1.82/0.66 ($false = (in @ sK4 @ nat))),
% 1.82/0.66 inference(trivial_inequality_removal,[],[f1810])).
% 1.82/0.66 thf(f1810,plain,(
% 1.82/0.66 ($true = $false) | ($false = (in @ sK4 @ nat))),
% 1.82/0.66 inference(forward_demodulation,[],[f1809,f1214])).
% 1.82/0.66 thf(f1214,plain,(
% 1.82/0.66 ($true = (in @ sK3 @ nat))),
% 1.82/0.66 inference(binary_proxy_clausification,[],[f1212])).
% 1.82/0.66 thf(f1212,plain,(
% 1.82/0.66 (((in @ sK3 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_29_ii @ (n_pl @ Y1 @ sK3) @ (n_pl @ Y1 @ Y0)) => (d_29_ii @ sK3 @ Y0))))))))) = $false)),
% 1.82/0.66 inference(beta_eta_normalization,[],[f1211])).
% 1.82/0.66 thf(f1211,plain,(
% 1.82/0.66 (((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((d_29_ii @ (n_pl @ Y2 @ Y0) @ (n_pl @ Y2 @ Y1)) => (d_29_ii @ Y0 @ Y1)))))))))) @ sK3) = $false)),
% 1.82/0.66 inference(sigma_clausification,[],[f1210])).
% 1.82/0.66 thf(f1210,plain,(
% 1.82/0.66 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((d_29_ii @ (n_pl @ Y2 @ Y0) @ (n_pl @ Y2 @ Y1)) => (d_29_ii @ Y0 @ Y1))))))))))) = $false)),
% 1.82/0.66 inference(not_proxy_clausification,[],[f788])).
% 1.82/0.66 thf(f788,plain,(
% 1.82/0.66 ((~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((d_29_ii @ (n_pl @ Y2 @ Y0) @ (n_pl @ Y2 @ Y1)) => (d_29_ii @ Y0 @ Y1)))))))))))) = $true)),
% 1.82/0.66 inference(beta_eta_normalization,[],[f755])).
% 1.82/0.66 thf(f755,plain,(
% 1.82/0.66 ($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]: ((d_29_ii @ (n_pl @ Y2 @ Y0) @ (n_pl @ Y2 @ Y1)) => (d_29_ii @ Y0 @ Y1))))))))))),
% 1.82/0.66 inference(definition_unfolding,[],[f695,f733,f733,f733])).
% 1.82/0.66 thf(f733,plain,(
% 1.82/0.66 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 1.82/0.66 inference(definition_unfolding,[],[f696,f715])).
% 1.82/0.66 thf(f715,plain,(
% 1.82/0.66 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 1.82/0.66 inference(cnf_transformation,[],[f433])).
% 1.82/0.66 thf(f433,plain,(
% 1.82/0.66 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 1.82/0.66 inference(fool_elimination,[],[f1])).
% 1.82/0.66 thf(f1,axiom,(
% 1.82/0.66 (is_of = (^[X0 : $i, X1 : $i > $o] : (X1 @ X0)))),
% 1.82/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_is_of)).
% 1.82/0.66 thf(f696,plain,(
% 1.82/0.66 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 1.82/0.66 inference(cnf_transformation,[],[f393])).
% 1.82/0.66 thf(f393,plain,(
% 1.82/0.66 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 1.82/0.66 inference(fool_elimination,[],[f392])).
% 1.82/0.66 thf(f392,plain,(
% 1.82/0.66 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)),
% 1.82/0.66 inference(rectify,[],[f2])).
% 1.82/0.66 thf(f2,axiom,(
% 1.82/0.66 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)),
% 1.82/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_all_of)).
% 1.82/0.66 thf(f695,plain,(
% 1.82/0.66 ((~ (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]: ((d_29_ii @ (n_pl @ Y2 @ Y0) @ (n_pl @ Y2 @ Y1)) => (d_29_ii @ Y0 @ Y1))))))))) = $true)),
% 1.82/0.66 inference(cnf_transformation,[],[f479])).
% 1.82/0.66 thf(f479,plain,(
% 1.82/0.66 ((~ (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]: ((d_29_ii @ (n_pl @ Y2 @ Y0) @ (n_pl @ Y2 @ Y1)) => (d_29_ii @ Y0 @ Y1))))))))) = $true)),
% 1.82/0.66 inference(fool_elimination,[],[f478])).
% 1.82/0.66 thf(f478,plain,(
% 1.82/0.66 ~(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] : ((d_29_ii @ (n_pl @ X5 @ X1) @ (n_pl @ X5 @ X3)) => (d_29_ii @ X1 @ X3))))))))),
% 1.82/0.66 inference(rectify,[],[f256])).
% 1.82/0.66 thf(f256,negated_conjecture,(
% 1.82/0.66 ~(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] : ((d_29_ii @ (n_pl @ X2 @ X0) @ (n_pl @ X2 @ X1)) => (d_29_ii @ X0 @ X1))))))))),
% 1.82/0.66 inference(negated_conjecture,[],[f255])).
% 1.82/0.66 thf(f255,conjecture,(
% 1.82/0.66 (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 : $i] : ((d_29_ii @ (n_pl @ X2 @ X0) @ (n_pl @ X2 @ X1)) => (d_29_ii @ X0 @ X1))))))))),
% 1.82/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz20d)).
% 1.82/0.66 thf(f1809,plain,(
% 1.82/0.66 ($false = (in @ sK4 @ nat)) | ($false = (in @ sK3 @ nat))),
% 1.82/0.66 inference(trivial_inequality_removal,[],[f1808])).
% 1.82/0.66 thf(f1808,plain,(
% 1.82/0.66 ($false = (in @ sK4 @ nat)) | ($true = $false) | ($false = (in @ sK3 @ nat))),
% 1.82/0.66 inference(forward_demodulation,[],[f1807,f1223])).
% 1.82/0.66 thf(f1223,plain,(
% 1.82/0.66 ((d_29_ii @ sK3 @ sK4) = $false)),
% 1.82/0.66 inference(binary_proxy_clausification,[],[f1221])).
% 1.82/0.66 thf(f1221,plain,(
% 1.82/0.66 (((d_29_ii @ (n_pl @ sK5 @ sK3) @ (n_pl @ sK5 @ sK4)) => (d_29_ii @ sK3 @ sK4)) = $false)),
% 1.82/0.66 inference(binary_proxy_clausification,[],[f1220])).
% 1.82/0.66 thf(f1220,plain,(
% 1.82/0.66 (((in @ sK5 @ nat) => ((d_29_ii @ (n_pl @ sK5 @ sK3) @ (n_pl @ sK5 @ sK4)) => (d_29_ii @ sK3 @ sK4))) = $false)),
% 1.82/0.66 inference(beta_eta_normalization,[],[f1219])).
% 1.82/0.66 thf(f1219,plain,(
% 1.82/0.66 (((^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_29_ii @ (n_pl @ Y0 @ sK3) @ (n_pl @ Y0 @ sK4)) => (d_29_ii @ sK3 @ sK4)))) @ sK5) = $false)),
% 1.82/0.66 inference(sigma_clausification,[],[f1217])).
% 1.82/0.66 thf(f1217,plain,(
% 1.82/0.66 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_29_ii @ (n_pl @ Y0 @ sK3) @ (n_pl @ Y0 @ sK4)) => (d_29_ii @ sK3 @ sK4))))) = $false)),
% 1.82/0.66 inference(binary_proxy_clausification,[],[f1216])).
% 1.82/0.66 thf(f1216,plain,(
% 1.82/0.66 (((in @ sK4 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_29_ii @ (n_pl @ Y0 @ sK3) @ (n_pl @ Y0 @ sK4)) => (d_29_ii @ sK3 @ sK4)))))) = $false)),
% 1.82/0.66 inference(beta_eta_normalization,[],[f1215])).
% 1.82/0.66 thf(f1215,plain,(
% 1.82/0.66 (((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_29_ii @ (n_pl @ Y1 @ sK3) @ (n_pl @ Y1 @ Y0)) => (d_29_ii @ sK3 @ Y0))))))) @ sK4) = $false)),
% 1.82/0.66 inference(sigma_clausification,[],[f1213])).
% 1.82/0.66 thf(f1213,plain,(
% 1.82/0.66 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_29_ii @ (n_pl @ Y1 @ sK3) @ (n_pl @ Y1 @ Y0)) => (d_29_ii @ sK3 @ Y0)))))))) = $false)),
% 1.82/0.66 inference(binary_proxy_clausification,[],[f1212])).
% 1.82/0.66 thf(f1807,plain,(
% 1.82/0.66 ((d_29_ii @ sK3 @ sK4) = $true) | ($false = (in @ sK3 @ nat)) | ($false = (in @ sK4 @ nat))),
% 1.82/0.66 inference(trivial_inequality_removal,[],[f1806])).
% 1.82/0.66 thf(f1806,plain,(
% 1.82/0.66 ((d_29_ii @ sK3 @ sK4) = $true) | ($true = $false) | ($false = (in @ sK4 @ nat)) | ($false = (in @ sK3 @ nat))),
% 1.82/0.66 inference(forward_demodulation,[],[f1784,f1222])).
% 1.82/0.66 thf(f1222,plain,(
% 1.82/0.66 ($true = (in @ sK5 @ nat))),
% 1.82/0.66 inference(binary_proxy_clausification,[],[f1220])).
% 1.82/0.66 thf(f1784,plain,(
% 1.82/0.66 ($false = (in @ sK5 @ nat)) | ((d_29_ii @ sK3 @ sK4) = $true) | ($false = (in @ sK3 @ nat)) | ($false = (in @ sK4 @ nat))),
% 1.82/0.66 inference(trivial_inequality_removal,[],[f1760])).
% 1.82/0.66 thf(f1760,plain,(
% 1.82/0.66 ((d_29_ii @ sK3 @ sK4) = $true) | ($true = $false) | ($false = (in @ sK4 @ nat)) | ($false = (in @ sK5 @ nat)) | ($false = (in @ sK3 @ nat))),
% 1.82/0.66 inference(superposition,[],[f1327,f1142])).
% 1.82/0.66 thf(f1142,plain,(
% 1.82/0.66 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((d_29_ii @ (n_pl @ X1 @ X3) @ (n_pl @ X2 @ X3)) = $false) | ((in @ X3 @ nat) = $false) | ((in @ X1 @ nat) = $false) | ((d_29_ii @ X1 @ X2) = $true) | ((in @ X2 @ nat) = $false)) )),
% 1.82/0.66 inference(binary_proxy_clausification,[],[f1141])).
% 1.82/0.66 thf(f1141,plain,(
% 1.82/0.66 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((d_29_ii @ (n_pl @ X1 @ X3) @ (n_pl @ X2 @ X3)) => (d_29_ii @ X1 @ X2)) = $true) | ((in @ X3 @ nat) = $false) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false)) )),
% 1.82/0.66 inference(binary_proxy_clausification,[],[f1140])).
% 1.82/0.66 thf(f1140,plain,(
% 1.82/0.66 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | (((in @ X3 @ nat) => ((d_29_ii @ (n_pl @ X1 @ X3) @ (n_pl @ X2 @ X3)) => (d_29_ii @ X1 @ X2))) = $true) | ((in @ X2 @ nat) = $false)) )),
% 1.82/0.66 inference(beta_eta_normalization,[],[f1139])).
% 1.82/0.66 thf(f1139,plain,(
% 1.82/0.66 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | (((^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_29_ii @ (n_pl @ X1 @ Y0) @ (n_pl @ X2 @ Y0)) => (d_29_ii @ X1 @ X2)))) @ X3) = $true) | ((in @ X1 @ nat) = $false)) )),
% 1.82/0.66 inference(pi_clausification,[],[f1138])).
% 1.82/0.66 thf(f1138,plain,(
% 1.82/0.66 ( ! [X2 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_29_ii @ (n_pl @ X1 @ Y0) @ (n_pl @ X2 @ Y0)) => (d_29_ii @ X1 @ X2))))) = $true) | ((in @ X1 @ nat) = $false)) )),
% 1.82/0.66 inference(binary_proxy_clausification,[],[f1137])).
% 1.82/0.66 thf(f1137,plain,(
% 1.82/0.66 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | (((in @ X2 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_29_ii @ (n_pl @ X1 @ Y0) @ (n_pl @ X2 @ Y0)) => (d_29_ii @ X1 @ X2)))))) = $true)) )),
% 1.82/0.66 inference(beta_eta_normalization,[],[f1136])).
% 1.82/0.66 thf(f1136,plain,(
% 1.82/0.66 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_29_ii @ (n_pl @ X1 @ Y1) @ (n_pl @ Y0 @ Y1)) => (d_29_ii @ X1 @ Y0))))))) @ X2) = $true) | ((in @ X1 @ nat) = $false)) )),
% 1.82/0.66 inference(pi_clausification,[],[f1135])).
% 1.82/0.66 thf(f1135,plain,(
% 1.82/0.66 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_29_ii @ (n_pl @ X1 @ Y1) @ (n_pl @ Y0 @ Y1)) => (d_29_ii @ X1 @ Y0)))))))) = $true) | ((in @ X1 @ nat) = $false)) )),
% 1.82/0.66 inference(binary_proxy_clausification,[],[f1134])).
% 1.82/0.66 thf(f1134,plain,(
% 1.82/0.66 ( ! [X1 : $i] : ((((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_29_ii @ (n_pl @ X1 @ Y1) @ (n_pl @ Y0 @ Y1)) => (d_29_ii @ X1 @ Y0))))))))) = $true)) )),
% 1.82/0.66 inference(beta_eta_normalization,[],[f1133])).
% 1.82/0.66 thf(f1133,plain,(
% 1.82/0.66 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((d_29_ii @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y2)) => (d_29_ii @ Y0 @ Y1)))))))))) @ X1))) )),
% 1.82/0.66 inference(pi_clausification,[],[f796])).
% 1.82/0.66 thf(f796,plain,(
% 1.82/0.66 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((d_29_ii @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y2)) => (d_29_ii @ Y0 @ Y1))))))))))))),
% 1.82/0.66 inference(beta_eta_normalization,[],[f769])).
% 1.82/0.66 thf(f769,plain,(
% 1.82/0.66 (((^[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]: ((d_29_ii @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y2)) => (d_29_ii @ Y0 @ Y1)))))))) = $true)),
% 1.82/0.66 inference(definition_unfolding,[],[f716,f733,f733,f733])).
% 1.82/0.66 thf(f716,plain,(
% 1.82/0.66 ((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]: ((d_29_ii @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y2)) => (d_29_ii @ Y0 @ Y1)))))))) = $true)),
% 1.82/0.66 inference(cnf_transformation,[],[f632])).
% 1.82/0.66 thf(f632,plain,(
% 1.82/0.66 ((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]: ((d_29_ii @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y2)) => (d_29_ii @ Y0 @ Y1)))))))) = $true)),
% 1.82/0.66 inference(fool_elimination,[],[f631])).
% 1.82/0.66 thf(f631,plain,(
% 1.82/0.66 (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] : ((d_29_ii @ (n_pl @ X1 @ X5) @ (n_pl @ X3 @ X5)) => (d_29_ii @ X1 @ X3))))))))),
% 1.82/0.66 inference(rectify,[],[f252])).
% 1.82/0.66 thf(f252,axiom,(
% 1.82/0.66 (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] : ((d_29_ii @ (n_pl @ X0 @ X2) @ (n_pl @ X1 @ X2)) => (d_29_ii @ X0 @ X1))))))))),
% 1.82/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz20a)).
% 1.82/0.66 thf(f1327,plain,(
% 1.82/0.66 ((d_29_ii @ (n_pl @ sK3 @ sK5) @ (n_pl @ sK4 @ sK5)) = $true)),
% 1.82/0.66 inference(trivial_inequality_removal,[],[f1326])).
% 1.82/0.66 thf(f1326,plain,(
% 1.82/0.66 ((d_29_ii @ (n_pl @ sK3 @ sK5) @ (n_pl @ sK4 @ sK5)) = $true) | ($true = $false)),
% 1.82/0.66 inference(forward_demodulation,[],[f1325,f1222])).
% 1.82/0.66 thf(f1325,plain,(
% 1.82/0.66 ($false = (in @ sK5 @ nat)) | ((d_29_ii @ (n_pl @ sK3 @ sK5) @ (n_pl @ sK4 @ sK5)) = $true)),
% 1.82/0.66 inference(trivial_inequality_removal,[],[f1324])).
% 1.82/0.66 thf(f1324,plain,(
% 1.82/0.66 ($true = $false) | ($false = (in @ sK5 @ nat)) | ((d_29_ii @ (n_pl @ sK3 @ sK5) @ (n_pl @ sK4 @ sK5)) = $true)),
% 1.82/0.66 inference(forward_demodulation,[],[f1322,f1214])).
% 1.82/0.66 thf(f1322,plain,(
% 1.82/0.66 ($false = (in @ sK3 @ nat)) | ((d_29_ii @ (n_pl @ sK3 @ sK5) @ (n_pl @ sK4 @ sK5)) = $true) | ($false = (in @ sK5 @ nat))),
% 1.82/0.66 inference(superposition,[],[f1309,f884])).
% 1.82/0.66 thf(f884,plain,(
% 1.82/0.66 ( ! [X2 : $i,X1 : $i] : (((n_pl @ X1 @ X2) = (n_pl @ X2 @ X1)) | ((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false)) )),
% 1.82/0.66 inference(equality_proxy_clausification,[],[f883])).
% 1.82/0.66 thf(f883,plain,(
% 1.82/0.66 ( ! [X2 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | ($true = ((n_pl @ X1 @ X2) = (n_pl @ X2 @ X1))) | ((in @ X1 @ nat) = $false)) )),
% 1.82/0.66 inference(binary_proxy_clausification,[],[f882])).
% 1.82/0.66 thf(f882,plain,(
% 1.82/0.66 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | (((in @ X2 @ nat) => ((n_pl @ X1 @ X2) = (n_pl @ X2 @ X1))) = $true)) )),
% 1.82/0.66 inference(beta_eta_normalization,[],[f881])).
% 1.82/0.66 thf(f881,plain,(
% 1.82/0.66 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_pl @ X1 @ Y0) = (n_pl @ Y0 @ X1)))) @ X2) = $true) | ((in @ X1 @ nat) = $false)) )),
% 1.82/0.66 inference(pi_clausification,[],[f880])).
% 1.82/0.66 thf(f880,plain,(
% 1.82/0.66 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_pl @ X1 @ Y0) = (n_pl @ Y0 @ X1))))) = $true) | ((in @ X1 @ nat) = $false)) )),
% 1.82/0.66 inference(binary_proxy_clausification,[],[f879])).
% 1.82/0.66 thf(f879,plain,(
% 1.82/0.66 ( ! [X1 : $i] : ((((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_pl @ X1 @ Y0) = (n_pl @ Y0 @ X1)))))) = $true)) )),
% 1.82/0.66 inference(beta_eta_normalization,[],[f878])).
% 1.82/0.66 thf(f878,plain,(
% 1.82/0.66 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((n_pl @ Y0 @ Y1) = (n_pl @ Y1 @ Y0))))))) @ X1) = $true)) )),
% 1.82/0.66 inference(pi_clausification,[],[f822])).
% 1.82/0.66 thf(f822,plain,(
% 1.82/0.66 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((n_pl @ Y0 @ Y1) = (n_pl @ Y1 @ Y0)))))))) = $true)),
% 1.82/0.66 inference(beta_eta_normalization,[],[f749])).
% 1.82/0.66 thf(f749,plain,(
% 1.82/0.66 (((^[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)),
% 1.82/0.66 inference(definition_unfolding,[],[f685,f733,f733,f731])).
% 1.82/0.66 thf(f731,plain,(
% 1.82/0.66 (n_is = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))) @ nat))),
% 1.82/0.66 inference(definition_unfolding,[],[f672,f670])).
% 1.82/0.66 thf(f670,plain,(
% 1.82/0.66 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
% 1.82/0.66 inference(cnf_transformation,[],[f466])).
% 1.82/0.66 thf(f466,plain,(
% 1.82/0.66 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
% 1.82/0.66 inference(fool_elimination,[],[f465])).
% 1.82/0.66 thf(f465,plain,(
% 1.82/0.66 ((^[X0 : $i, X1 : $i, X2 : $i] : ((X1 = X2))) = e_is)),
% 1.82/0.66 inference(rectify,[],[f91])).
% 1.82/0.66 thf(f91,axiom,(
% 1.82/0.66 ((^[X0 : $i, X7 : $i, X8 : $i] : ((X7 = X8))) = e_is)),
% 1.82/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_e_is)).
% 1.82/0.66 thf(f672,plain,(
% 1.82/0.66 (n_is = (e_is @ nat))),
% 1.82/0.66 inference(cnf_transformation,[],[f599])).
% 1.82/0.66 thf(f599,plain,(
% 1.82/0.66 (n_is = (e_is @ nat))),
% 1.82/0.66 inference(fool_elimination,[],[f157])).
% 1.82/0.66 thf(f157,axiom,(
% 1.82/0.66 (n_is = (e_is @ nat))),
% 1.82/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_n_is)).
% 1.82/0.66 thf(f685,plain,(
% 1.82/0.66 ((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)),
% 1.82/0.66 inference(cnf_transformation,[],[f494])).
% 1.82/0.66 thf(f494,plain,(
% 1.82/0.66 ((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)),
% 1.82/0.66 inference(fool_elimination,[],[f493])).
% 1.82/0.66 thf(f493,plain,(
% 1.82/0.66 (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))))))),
% 1.82/0.66 inference(rectify,[],[f197])).
% 1.82/0.66 thf(f197,axiom,(
% 1.82/0.66 (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))))))),
% 1.82/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz6)).
% 1.82/0.66 thf(f1309,plain,(
% 1.82/0.66 ((d_29_ii @ (n_pl @ sK5 @ sK3) @ (n_pl @ sK4 @ sK5)) = $true)),
% 1.82/0.66 inference(trivial_inequality_removal,[],[f1308])).
% 1.82/0.66 thf(f1308,plain,(
% 1.82/0.66 ((d_29_ii @ (n_pl @ sK5 @ sK3) @ (n_pl @ sK4 @ sK5)) = $true) | ($true = $false)),
% 1.82/0.66 inference(forward_demodulation,[],[f1307,f1222])).
% 1.82/0.66 thf(f1307,plain,(
% 1.82/0.66 ($false = (in @ sK5 @ nat)) | ((d_29_ii @ (n_pl @ sK5 @ sK3) @ (n_pl @ sK4 @ sK5)) = $true)),
% 1.82/0.66 inference(trivial_inequality_removal,[],[f1306])).
% 1.82/0.66 thf(f1306,plain,(
% 1.82/0.66 ((d_29_ii @ (n_pl @ sK5 @ sK3) @ (n_pl @ sK4 @ sK5)) = $true) | ($false = (in @ sK5 @ nat)) | ($true = $false)),
% 1.82/0.66 inference(forward_demodulation,[],[f1305,f1218])).
% 1.82/0.66 thf(f1305,plain,(
% 1.82/0.66 ($false = (in @ sK4 @ nat)) | ($false = (in @ sK5 @ nat)) | ((d_29_ii @ (n_pl @ sK5 @ sK3) @ (n_pl @ sK4 @ sK5)) = $true)),
% 1.82/0.66 inference(superposition,[],[f1224,f884])).
% 1.82/0.66 thf(f1224,plain,(
% 1.82/0.66 ((d_29_ii @ (n_pl @ sK5 @ sK3) @ (n_pl @ sK5 @ sK4)) = $true)),
% 1.82/0.66 inference(binary_proxy_clausification,[],[f1221])).
% 1.82/0.66 thf(f1218,plain,(
% 1.82/0.66 ($true = (in @ sK4 @ nat))),
% 1.82/0.66 inference(binary_proxy_clausification,[],[f1216])).
% 1.82/0.66 % SZS output end Proof for theBenchmark
% 1.82/0.66 % (13084)------------------------------
% 1.82/0.66 % (13084)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.82/0.66 % (13084)Termination reason: Refutation
% 1.82/0.66
% 1.82/0.66 % (13084)Memory used [KB]: 7164
% 1.82/0.66 % (13084)Time elapsed: 0.076 s
% 1.82/0.66 % (13084)Instructions burned: 223 (million)
% 1.82/0.66 % (13084)------------------------------
% 1.82/0.66 % (13084)------------------------------
% 1.82/0.66 % (13043)Success in time 0.287 s
%------------------------------------------------------------------------------