TSTP Solution File: NUM666^4 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : NUM666^4 : 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 13:16:28 EDT 2024
% Result : Theorem 18.49s 2.96s
% Output : Refutation 18.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : NUM666^4 : TPTP v8.2.0. Released v7.1.0.
% 0.00/0.07 % Command : run_vampire %s %d THM
% 0.06/0.26 % Computer : n021.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Sat Jun 22 19:53:53 EDT 2024
% 0.06/0.26 % CPUTime :
% 0.06/0.27 This is a TH0_THM_EQU_NAR problem
% 0.06/0.27 Running higher-order theorem proving
% 0.06/0.27 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
% 0.12/0.28 % (17720)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)
% 0.12/0.28 % (17716)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.28 % (17717)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)
% 0.12/0.28 % (17718)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)
% 0.12/0.28 % (17719)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.28 % (17721)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)
% 0.12/0.28 % (17722)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.29 % (17717)Instruction limit reached!
% 0.12/0.29 % (17717)------------------------------
% 0.12/0.29 % (17717)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.29 % (17717)Termination reason: Unknown
% 0.12/0.29 % (17717)Termination phase: shuffling
% 0.12/0.29
% 0.12/0.29 % (17717)Memory used [KB]: 1279
% 0.12/0.29 % (17717)Time elapsed: 0.003 s
% 0.12/0.29 % (17717)Instructions burned: 4 (million)
% 0.12/0.29 % (17717)------------------------------
% 0.12/0.29 % (17717)------------------------------
% 0.12/0.29 % (17719)Instruction limit reached!
% 0.12/0.29 % (17719)------------------------------
% 0.12/0.29 % (17719)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.29 % (17719)Termination reason: Unknown
% 0.12/0.29 % (17719)Termination phase: shuffling
% 0.12/0.29
% 0.12/0.29 % (17719)Memory used [KB]: 1279
% 0.12/0.29 % (17719)Time elapsed: 0.003 s
% 0.12/0.29 % (17719)Instructions burned: 4 (million)
% 0.12/0.29 % (17719)------------------------------
% 0.12/0.29 % (17719)------------------------------
% 0.12/0.29 % (17720)Instruction limit reached!
% 0.12/0.29 % (17720)------------------------------
% 0.12/0.29 % (17720)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.29 % (17720)Termination reason: Unknown
% 0.12/0.29 % (17720)Termination phase: shuffling
% 0.12/0.29
% 0.12/0.29 % (17720)Memory used [KB]: 1279
% 0.12/0.29 % (17720)Time elapsed: 0.003 s
% 0.12/0.29 % (17720)Instructions burned: 4 (million)
% 0.12/0.29 % (17720)------------------------------
% 0.12/0.29 % (17720)------------------------------
% 0.12/0.29 % (17722)Instruction limit reached!
% 0.12/0.29 % (17722)------------------------------
% 0.12/0.29 % (17722)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.29 % (17722)Termination reason: Unknown
% 0.12/0.29 % (17722)Termination phase: shuffling
% 0.12/0.29
% 0.12/0.29 % (17722)Memory used [KB]: 1535
% 0.12/0.29 % (17722)Time elapsed: 0.007 s
% 0.12/0.29 % (17722)Instructions burned: 18 (million)
% 0.12/0.29 % (17722)------------------------------
% 0.12/0.29 % (17722)------------------------------
% 0.12/0.29 % (17718)Instruction limit reached!
% 0.12/0.29 % (17718)------------------------------
% 0.12/0.29 % (17718)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.29 % (17718)Termination reason: Unknown
% 0.12/0.29 % (17718)Termination phase: Property scanning
% 0.12/0.29
% 0.12/0.29 % (17718)Memory used [KB]: 1663
% 0.12/0.29 % (17718)Time elapsed: 0.010 s
% 0.12/0.29 % (17718)Instructions burned: 28 (million)
% 0.12/0.29 % (17718)------------------------------
% 0.12/0.29 % (17718)------------------------------
% 0.12/0.30 % (17723)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)
% 0.12/0.30 % (17724)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)
% 0.12/0.30 % (17725)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)
% 0.12/0.30 % (17723)Instruction limit reached!
% 0.12/0.30 % (17723)------------------------------
% 0.12/0.30 % (17723)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.30 % (17723)Termination reason: Unknown
% 0.12/0.30 % (17723)Termination phase: shuffling
% 0.12/0.30
% 0.12/0.30 % (17723)Memory used [KB]: 1279
% 0.12/0.30 % (17723)Time elapsed: 0.003 s
% 0.12/0.30 % (17723)Instructions burned: 5 (million)
% 0.12/0.30 % (17723)------------------------------
% 0.12/0.30 % (17723)------------------------------
% 0.12/0.30 % (17721)Refutation not found, incomplete strategy
% 0.12/0.30 % (17721)------------------------------
% 0.12/0.30 % (17721)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.30 % (17721)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.30
% 0.12/0.30
% 0.12/0.30 % (17721)Memory used [KB]: 6140
% 0.12/0.30 % (17721)Time elapsed: 0.014 s
% 0.12/0.30 % (17721)Instructions burned: 42 (million)
% 0.12/0.30 % (17721)------------------------------
% 0.12/0.30 % (17721)------------------------------
% 0.12/0.30 % (17726)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)
% 0.12/0.30 % (17725)Instruction limit reached!
% 0.12/0.30 % (17725)------------------------------
% 0.12/0.30 % (17725)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.30 % (17725)Termination reason: Unknown
% 0.12/0.30 % (17725)Termination phase: shuffling
% 0.12/0.30
% 0.12/0.30 % (17725)Memory used [KB]: 1535
% 0.12/0.30 % (17725)Time elapsed: 0.006 s
% 0.12/0.30 % (17725)Instructions burned: 15 (million)
% 0.12/0.30 % (17725)------------------------------
% 0.12/0.30 % (17725)------------------------------
% 0.12/0.30 % (17726)Instruction limit reached!
% 0.12/0.30 % (17726)------------------------------
% 0.12/0.30 % (17726)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.30 % (17726)Termination reason: Unknown
% 0.12/0.30 % (17726)Termination phase: shuffling
% 0.12/0.30
% 0.12/0.30 % (17726)Memory used [KB]: 1279
% 0.12/0.30 % (17726)Time elapsed: 0.003 s
% 0.12/0.30 % (17726)Instructions burned: 5 (million)
% 0.12/0.30 % (17726)------------------------------
% 0.12/0.30 % (17726)------------------------------
% 0.12/0.30 % (17727)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)
% 0.12/0.31 % (17728)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.12/0.31 % (17724)Instruction limit reached!
% 0.12/0.31 % (17724)------------------------------
% 0.12/0.31 % (17724)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.31 % (17724)Termination reason: Unknown
% 0.12/0.31 % (17724)Termination phase: Property scanning
% 0.12/0.31
% 0.12/0.31 % (17724)Memory used [KB]: 1663
% 0.12/0.31 % (17724)Time elapsed: 0.012 s
% 0.12/0.31 % (17724)Instructions burned: 39 (million)
% 0.12/0.31 % (17724)------------------------------
% 0.12/0.31 % (17724)------------------------------
% 0.12/0.31 % (17729)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.12/0.31 % (17728)Instruction limit reached!
% 0.12/0.31 % (17728)------------------------------
% 0.12/0.31 % (17728)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.31 % (17728)Termination reason: Unknown
% 0.12/0.31 % (17728)Termination phase: shuffling
% 0.12/0.31
% 0.12/0.31 % (17728)Memory used [KB]: 1407
% 0.12/0.31 % (17728)Time elapsed: 0.004 s
% 0.12/0.31 % (17728)Instructions burned: 8 (million)
% 0.12/0.31 % (17728)------------------------------
% 0.12/0.31 % (17728)------------------------------
% 0.12/0.31 % (17730)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)
% 0.12/0.31 % (17731)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)
% 0.12/0.31 % (17730)Instruction limit reached!
% 0.12/0.31 % (17730)------------------------------
% 0.12/0.31 % (17730)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.31 % (17730)Termination reason: Unknown
% 0.12/0.31 % (17730)Termination phase: shuffling
% 0.12/0.31
% 0.12/0.31 % (17730)Memory used [KB]: 1279
% 0.12/0.31 % (17730)Time elapsed: 0.003 s
% 0.12/0.31 % (17730)Instructions burned: 5 (million)
% 0.12/0.31 % (17730)------------------------------
% 0.12/0.31 % (17730)------------------------------
% 0.12/0.31 % (17731)Instruction limit reached!
% 0.12/0.31 % (17731)------------------------------
% 0.12/0.31 % (17731)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.31 % (17731)Termination reason: Unknown
% 0.12/0.31 % (17731)Termination phase: shuffling
% 0.12/0.31
% 0.12/0.31 % (17731)Memory used [KB]: 1279
% 0.12/0.31 % (17731)Time elapsed: 0.003 s
% 0.12/0.31 % (17731)Instructions burned: 5 (million)
% 0.12/0.31 % (17731)------------------------------
% 0.12/0.31 % (17731)------------------------------
% 0.12/0.31 % (17729)Instruction limit reached!
% 0.12/0.31 % (17729)------------------------------
% 0.12/0.31 % (17729)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.31 % (17729)Termination reason: Unknown
% 0.12/0.31 % (17729)Termination phase: shuffling
% 0.12/0.31
% 0.12/0.31 % (17729)Memory used [KB]: 1535
% 0.12/0.31 % (17729)Time elapsed: 0.007 s
% 0.12/0.31 % (17729)Instructions burned: 19 (million)
% 0.12/0.31 % (17729)------------------------------
% 0.12/0.31 % (17729)------------------------------
% 0.12/0.31 % (17732)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)
% 0.12/0.32 % (17733)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)
% 0.12/0.32 % (17732)Instruction limit reached!
% 0.12/0.32 % (17732)------------------------------
% 0.12/0.32 % (17732)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.32 % (17732)Termination reason: Unknown
% 0.12/0.32 % (17732)Termination phase: shuffling
% 0.12/0.32
% 0.12/0.32 % (17732)Memory used [KB]: 1407
% 0.12/0.32 % (17732)Time elapsed: 0.004 s
% 0.12/0.32 % (17732)Instructions burned: 9 (million)
% 0.12/0.32 % (17732)------------------------------
% 0.12/0.32 % (17732)------------------------------
% 0.12/0.32 % (17733)Instruction limit reached!
% 0.12/0.32 % (17733)------------------------------
% 0.12/0.32 % (17733)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.32 % (17733)Termination reason: Unknown
% 0.12/0.32 % (17733)Termination phase: shuffling
% 0.12/0.32
% 0.12/0.32 % (17733)Memory used [KB]: 1279
% 0.12/0.32 % (17733)Time elapsed: 0.002 s
% 0.12/0.32 % (17733)Instructions burned: 3 (million)
% 0.12/0.32 % (17733)------------------------------
% 0.12/0.32 % (17733)------------------------------
% 0.12/0.32 % (17734)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.12/0.32 % (17735)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)
% 0.12/0.32 % (17734)Instruction limit reached!
% 0.12/0.32 % (17734)------------------------------
% 0.12/0.32 % (17734)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.32 % (17734)Termination reason: Unknown
% 0.12/0.32 % (17734)Termination phase: shuffling
% 0.12/0.32
% 0.12/0.32 % (17734)Memory used [KB]: 1407
% 0.12/0.32 % (17734)Time elapsed: 0.003 s
% 0.12/0.32 % (17734)Instructions burned: 6 (million)
% 0.12/0.32 % (17734)------------------------------
% 0.12/0.32 % (17734)------------------------------
% 0.12/0.32 % (17736)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.12/0.33 % (17716)Instruction limit reached!
% 0.12/0.33 % (17716)------------------------------
% 0.12/0.33 % (17716)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.33 % (17716)Termination reason: Unknown
% 0.12/0.33 % (17716)Termination phase: Function definition elimination
% 0.12/0.33
% 0.12/0.33 % (17716)Memory used [KB]: 1918
% 0.12/0.33 % (17716)Time elapsed: 0.042 s
% 0.12/0.33 % (17716)Instructions burned: 188 (million)
% 0.12/0.33 % (17716)------------------------------
% 0.12/0.33 % (17716)------------------------------
% 0.12/0.33 % (17735)Instruction limit reached!
% 0.12/0.33 % (17735)------------------------------
% 0.12/0.33 % (17735)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.33 % (17735)Termination reason: Unknown
% 0.12/0.33 % (17735)Termination phase: shuffling
% 0.12/0.33
% 0.12/0.33 % (17735)Memory used [KB]: 1535
% 0.12/0.33 % (17735)Time elapsed: 0.007 s
% 0.12/0.33 % (17735)Instructions burned: 20 (million)
% 0.12/0.33 % (17735)------------------------------
% 0.12/0.33 % (17735)------------------------------
% 0.12/0.33 % (17737)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.12/0.33 % (17738)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)
% 0.12/0.33 % (17737)Instruction limit reached!
% 0.12/0.33 % (17737)------------------------------
% 0.12/0.33 % (17737)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.33 % (17737)Termination reason: Unknown
% 0.12/0.33 % (17737)Termination phase: shuffling
% 0.12/0.33
% 0.12/0.33 % (17737)Memory used [KB]: 1407
% 0.12/0.33 % (17737)Time elapsed: 0.004 s
% 0.12/0.33 % (17737)Instructions burned: 9 (million)
% 0.12/0.33 % (17737)------------------------------
% 0.12/0.33 % (17737)------------------------------
% 0.12/0.33 % (17739)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)
% 0.12/0.33 % (17740)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.12/0.33 % (17741)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.12/0.34 % (17740)Instruction limit reached!
% 0.12/0.34 % (17740)------------------------------
% 0.12/0.34 % (17740)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.34 % (17740)Termination reason: Unknown
% 0.12/0.34 % (17740)Termination phase: shuffling
% 0.12/0.34
% 0.12/0.34 % (17740)Memory used [KB]: 1279
% 0.12/0.34 % (17740)Time elapsed: 0.003 s
% 0.12/0.34 % (17740)Instructions burned: 5 (million)
% 0.12/0.34 % (17740)------------------------------
% 0.12/0.34 % (17740)------------------------------
% 0.12/0.34 % (17739)Instruction limit reached!
% 0.12/0.34 % (17739)------------------------------
% 0.12/0.34 % (17739)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.34 % (17739)Termination reason: Unknown
% 0.12/0.34 % (17739)Termination phase: Property scanning
% 0.12/0.34
% 0.12/0.34 % (17739)Memory used [KB]: 1663
% 0.12/0.34 % (17739)Time elapsed: 0.008 s
% 0.12/0.34 % (17739)Instructions burned: 22 (million)
% 0.12/0.34 % (17739)------------------------------
% 0.12/0.34 % (17739)------------------------------
% 0.12/0.34 % (17741)Instruction limit reached!
% 0.12/0.34 % (17741)------------------------------
% 0.12/0.34 % (17741)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.34 % (17741)Termination reason: Unknown
% 0.12/0.34 % (17741)Termination phase: shuffling
% 0.12/0.34
% 0.12/0.34 % (17741)Memory used [KB]: 1407
% 0.12/0.34 % (17741)Time elapsed: 0.004 s
% 0.12/0.34 % (17741)Instructions burned: 9 (million)
% 0.12/0.34 % (17741)------------------------------
% 0.12/0.34 % (17741)------------------------------
% 0.12/0.34 % (17742)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.12/0.34 % (17743)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.12/0.34 % (17744)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.12/0.35 % (17745)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.12/0.35 % (17738)Refutation not found, incomplete strategy
% 0.12/0.35 % (17738)------------------------------
% 0.12/0.35 % (17738)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.35 % (17738)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.35
% 0.12/0.35
% 0.12/0.35 % (17738)Memory used [KB]: 6396
% 0.12/0.35 % (17738)Time elapsed: 0.023 s
% 0.12/0.35 % (17738)Instructions burned: 76 (million)
% 0.12/0.35 % (17738)------------------------------
% 0.12/0.35 % (17738)------------------------------
% 0.12/0.35 % (17744)Instruction limit reached!
% 0.12/0.35 % (17744)------------------------------
% 0.12/0.35 % (17744)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.35 % (17744)Termination reason: Unknown
% 0.12/0.35 % (17744)Termination phase: shuffling
% 0.12/0.35
% 0.12/0.35 % (17744)Memory used [KB]: 1663
% 0.12/0.35 % (17744)Time elapsed: 0.007 s
% 0.12/0.35 % (17744)Instructions burned: 21 (million)
% 0.12/0.35 % (17744)------------------------------
% 0.12/0.35 % (17744)------------------------------
% 0.12/0.36 % (17746)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.12/0.36 % (17747)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.12/0.36 % (17747)Instruction limit reached!
% 0.12/0.36 % (17747)------------------------------
% 0.12/0.36 % (17747)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.36 % (17747)Termination reason: Unknown
% 0.12/0.36 % (17747)Termination phase: shuffling
% 0.12/0.36
% 0.12/0.36 % (17747)Memory used [KB]: 1279
% 0.12/0.36 % (17747)Time elapsed: 0.002 s
% 0.12/0.36 % (17747)Instructions burned: 3 (million)
% 0.12/0.36 % (17747)------------------------------
% 0.12/0.36 % (17747)------------------------------
% 0.12/0.36 % (17746)Instruction limit reached!
% 0.12/0.36 % (17746)------------------------------
% 0.12/0.36 % (17746)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.36 % (17746)Termination reason: Unknown
% 0.12/0.36 % (17746)Termination phase: shuffling
% 0.12/0.36
% 0.12/0.36 % (17746)Memory used [KB]: 1535
% 0.12/0.36 % (17746)Time elapsed: 0.006 s
% 0.12/0.36 % (17746)Instructions burned: 17 (million)
% 0.12/0.36 % (17746)------------------------------
% 0.12/0.36 % (17746)------------------------------
% 0.12/0.37 % (17748)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.12/0.37 % (17749)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 (2999ds/127Mi)
% 0.12/0.38 % (17748)Instruction limit reached!
% 0.12/0.38 % (17748)------------------------------
% 0.12/0.38 % (17748)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (17748)Termination reason: Unknown
% 0.12/0.38 % (17748)Termination phase: Property scanning
% 0.12/0.38
% 0.12/0.38 % (17748)Memory used [KB]: 1663
% 0.12/0.38 % (17748)Time elapsed: 0.010 s
% 0.12/0.38 % (17748)Instructions burned: 32 (million)
% 0.12/0.38 % (17748)------------------------------
% 0.12/0.38 % (17748)------------------------------
% 0.12/0.39 % (17750)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 (2999ds/100Mi)
% 0.12/0.41 % (17749)Instruction limit reached!
% 0.12/0.41 % (17749)------------------------------
% 0.12/0.41 % (17749)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.41 % (17749)Termination reason: Unknown
% 0.12/0.41 % (17749)Termination phase: Function definition elimination
% 0.12/0.41
% 0.12/0.41 % (17749)Memory used [KB]: 1918
% 0.12/0.41 % (17749)Time elapsed: 0.039 s
% 0.12/0.41 % (17749)Instructions burned: 130 (million)
% 0.12/0.41 % (17749)------------------------------
% 0.12/0.41 % (17749)------------------------------
% 0.12/0.42 % (17750)Instruction limit reached!
% 0.12/0.42 % (17750)------------------------------
% 0.12/0.42 % (17750)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.42 % (17750)Termination reason: Unknown
% 0.12/0.42 % (17750)Termination phase: Function definition elimination
% 0.12/0.42
% 0.12/0.42 % (17750)Memory used [KB]: 1918
% 0.12/0.42 % (17750)Time elapsed: 0.031 s
% 0.12/0.42 % (17750)Instructions burned: 100 (million)
% 0.12/0.42 % (17750)------------------------------
% 0.12/0.42 % (17750)------------------------------
% 0.12/0.42 % (17752)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.12/0.42 % (17752)Instruction limit reached!
% 0.12/0.42 % (17752)------------------------------
% 0.12/0.42 % (17752)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.42 % (17752)Termination reason: Unknown
% 0.12/0.42 % (17752)Termination phase: shuffling
% 0.12/0.42
% 0.12/0.42 % (17752)Memory used [KB]: 1279
% 0.12/0.42 % (17752)Time elapsed: 0.003 s
% 0.12/0.42 % (17752)Instructions burned: 4 (million)
% 0.12/0.42 % (17752)------------------------------
% 0.12/0.42 % (17752)------------------------------
% 0.12/0.42 % (17753)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 0.12/0.43 % (17754)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 0.12/0.43 % (17753)Instruction limit reached!
% 0.12/0.43 % (17753)------------------------------
% 0.12/0.43 % (17753)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.43 % (17753)Termination reason: Unknown
% 0.12/0.43 % (17753)Termination phase: shuffling
% 0.12/0.43
% 0.12/0.43 % (17753)Memory used [KB]: 1535
% 0.12/0.43 % (17753)Time elapsed: 0.008 s
% 0.12/0.43 % (17753)Instructions burned: 20 (million)
% 0.12/0.43 % (17753)------------------------------
% 0.12/0.43 % (17753)------------------------------
% 0.12/0.43 % (17742)Instruction limit reached!
% 0.12/0.43 % (17742)------------------------------
% 0.12/0.43 % (17742)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.43 % (17742)Termination reason: Unknown
% 0.12/0.43 % (17742)Termination phase: Property scanning
% 0.12/0.43
% 0.12/0.43 % (17742)Memory used [KB]: 2046
% 0.12/0.43 % (17742)Time elapsed: 0.097 s
% 0.12/0.43 % (17742)Instructions burned: 379 (million)
% 0.12/0.43 % (17742)------------------------------
% 0.12/0.43 % (17742)------------------------------
% 0.12/0.44 % (17755)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 0.12/0.44 % (17756)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 0.12/0.45 % (17754)Instruction limit reached!
% 0.12/0.45 % (17754)------------------------------
% 0.12/0.45 % (17754)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.45 % (17754)Termination reason: Unknown
% 0.12/0.45 % (17754)Termination phase: Function definition elimination
% 0.12/0.45
% 0.12/0.45 % (17754)Memory used [KB]: 1791
% 0.12/0.45 % (17754)Time elapsed: 0.024 s
% 0.12/0.45 % (17754)Instructions burned: 86 (million)
% 0.12/0.45 % (17754)------------------------------
% 0.12/0.45 % (17754)------------------------------
% 0.12/0.45 % (17756)Instruction limit reached!
% 0.12/0.45 % (17756)------------------------------
% 0.12/0.45 % (17756)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.45 % (17756)Termination reason: Unknown
% 0.12/0.45 % (17756)Termination phase: Property scanning
% 0.12/0.45
% 0.12/0.45 % (17756)Memory used [KB]: 1663
% 0.12/0.45 % (17756)Time elapsed: 0.013 s
% 0.12/0.45 % (17756)Instructions burned: 39 (million)
% 0.12/0.45 % (17756)------------------------------
% 0.12/0.45 % (17756)------------------------------
% 0.12/0.46 % (17757)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2998ds/448Mi)
% 0.12/0.46 % (17758)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 0.12/0.47 % (17755)Instruction limit reached!
% 0.12/0.47 % (17755)------------------------------
% 0.12/0.47 % (17755)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.47 % (17755)Termination reason: Unknown
% 0.12/0.47 % (17755)Termination phase: Saturation
% 0.12/0.47
% 0.12/0.47 % (17755)Memory used [KB]: 6524
% 0.12/0.47 % (17755)Time elapsed: 0.033 s
% 0.12/0.47 % (17755)Instructions burned: 107 (million)
% 0.12/0.47 % (17755)------------------------------
% 0.12/0.47 % (17755)------------------------------
% 0.12/0.48 % (17758)Instruction limit reached!
% 0.12/0.48 % (17758)------------------------------
% 0.12/0.48 % (17758)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.48 % (17758)Termination reason: Unknown
% 0.12/0.48 % (17758)Termination phase: Property scanning
% 0.12/0.48
% 0.12/0.48 % (17758)Memory used [KB]: 1663
% 0.12/0.48 % (17758)Time elapsed: 0.016 s
% 0.12/0.48 % (17758)Instructions burned: 47 (million)
% 0.12/0.48 % (17758)------------------------------
% 0.12/0.48 % (17758)------------------------------
% 0.12/0.48 % (17759)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2997ds/98Mi)
% 0.12/0.49 % (17760)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)
% 0.12/0.50 % (17759)Instruction limit reached!
% 0.12/0.50 % (17759)------------------------------
% 0.12/0.50 % (17759)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.50 % (17759)Termination reason: Unknown
% 0.12/0.50 % (17759)Termination phase: Function definition elimination
% 0.12/0.50
% 0.12/0.50 % (17759)Memory used [KB]: 1918
% 0.12/0.50 % (17759)Time elapsed: 0.026 s
% 0.12/0.50 % (17759)Instructions burned: 99 (million)
% 0.12/0.50 % (17759)------------------------------
% 0.12/0.50 % (17759)------------------------------
% 0.12/0.51 % (17761)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)
% 0.12/0.55 % (17761)Instruction limit reached!
% 0.12/0.55 % (17761)------------------------------
% 0.12/0.55 % (17761)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.55 % (17761)Termination reason: Unknown
% 0.12/0.55 % (17761)Termination phase: Function definition elimination
% 0.12/0.55
% 0.12/0.55 % (17761)Memory used [KB]: 1918
% 0.12/0.55 % (17761)Time elapsed: 0.037 s
% 0.12/0.55 % (17761)Instructions burned: 152 (million)
% 0.12/0.55 % (17761)------------------------------
% 0.12/0.55 % (17761)------------------------------
% 0.12/0.55 % (17727)Instruction limit reached!
% 0.12/0.55 % (17727)------------------------------
% 0.12/0.55 % (17727)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.55 % (17727)Termination reason: Unknown
% 0.12/0.55 % (17727)Termination phase: Property scanning
% 0.12/0.55
% 0.12/0.55 % (17727)Memory used [KB]: 2046
% 0.12/0.55 % (17727)Time elapsed: 0.251 s
% 0.12/0.55 % (17727)Instructions burned: 1043 (million)
% 0.12/0.55 % (17727)------------------------------
% 0.12/0.55 % (17727)------------------------------
% 0.12/0.55 % (17736)Instruction limit reached!
% 0.12/0.55 % (17736)------------------------------
% 0.12/0.55 % (17736)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.55 % (17736)Termination reason: Unknown
% 0.12/0.55 % (17736)Termination phase: Saturation
% 0.12/0.55
% 0.12/0.55 % (17736)Memory used [KB]: 6908
% 0.12/0.55 % (17736)Time elapsed: 0.232 s
% 0.12/0.55 % (17736)Instructions burned: 710 (million)
% 0.12/0.55 % (17736)------------------------------
% 0.12/0.55 % (17736)------------------------------
% 0.12/0.56 % (17762)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 0.12/0.56 % (17763)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)
% 0.12/0.56 % (17764)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)
% 0.12/0.56 % (17763)Instruction limit reached!
% 0.12/0.56 % (17763)------------------------------
% 0.12/0.56 % (17763)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.56 % (17763)Termination reason: Unknown
% 0.12/0.56 % (17763)Termination phase: shuffling
% 0.12/0.56
% 0.12/0.56 % (17763)Memory used [KB]: 1407
% 0.12/0.56 % (17763)Time elapsed: 0.004 s
% 0.12/0.56 % (17763)Instructions burned: 7 (million)
% 0.12/0.56 % (17763)------------------------------
% 0.12/0.56 % (17763)------------------------------
% 0.12/0.57 % (17762)Instruction limit reached!
% 0.12/0.57 % (17762)------------------------------
% 0.12/0.57 % (17762)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.57 % (17762)Termination reason: Unknown
% 0.12/0.57 % (17762)Termination phase: Property scanning
% 0.12/0.57
% 0.12/0.57 % (17762)Memory used [KB]: 1663
% 0.12/0.57 % (17762)Time elapsed: 0.014 s
% 0.12/0.57 % (17762)Instructions burned: 41 (million)
% 0.12/0.57 % (17762)------------------------------
% 0.12/0.57 % (17762)------------------------------
% 0.12/0.57 % (17765)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 0.12/0.58 % (17766)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2997ds/44Mi)
% 0.12/0.58 % (17764)Refutation not found, incomplete strategy
% 0.12/0.58 % (17764)------------------------------
% 0.12/0.58 % (17764)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.58 % (17764)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.58
% 0.12/0.58
% 0.12/0.58 % (17764)Memory used [KB]: 6268
% 0.12/0.58 % (17764)Time elapsed: 0.025 s
% 0.12/0.58 % (17764)Instructions burned: 72 (million)
% 0.12/0.58 % (17764)------------------------------
% 0.12/0.58 % (17764)------------------------------
% 0.12/0.59 % (17765)Instruction limit reached!
% 0.12/0.59 % (17765)------------------------------
% 0.12/0.59 % (17765)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.59 % (17765)Termination reason: Unknown
% 0.12/0.59 % (17765)Termination phase: Function definition elimination
% 0.12/0.59
% 0.12/0.59 % (17765)Memory used [KB]: 1663
% 0.12/0.59 % (17765)Time elapsed: 0.016 s
% 0.12/0.59 % (17765)Instructions burned: 49 (million)
% 0.12/0.59 % (17765)------------------------------
% 0.12/0.59 % (17765)------------------------------
% 0.12/0.59 % (17766)Instruction limit reached!
% 0.12/0.59 % (17766)------------------------------
% 0.12/0.59 % (17766)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.59 % (17766)Termination reason: Unknown
% 0.12/0.59 % (17766)Termination phase: SInE selection
% 0.12/0.59
% 0.12/0.59 % (17766)Memory used [KB]: 1663
% 0.12/0.59 % (17766)Time elapsed: 0.014 s
% 0.12/0.59 % (17766)Instructions burned: 44 (million)
% 0.12/0.59 % (17766)------------------------------
% 0.12/0.59 % (17766)------------------------------
% 0.12/0.59 % (17767)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2996ds/432Mi)
% 0.12/0.60 % (17768)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2996ds/62Mi)
% 0.12/0.60 % (17743)Instruction limit reached!
% 0.12/0.60 % (17743)------------------------------
% 0.12/0.60 % (17743)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.60 % (17743)Termination reason: Unknown
% 0.12/0.60 % (17743)Termination phase: Saturation
% 0.12/0.60
% 0.12/0.60 % (17743)Memory used [KB]: 7675
% 0.12/0.60 % (17743)Time elapsed: 0.255 s
% 0.12/0.60 % (17743)Instructions burned: 779 (million)
% 0.12/0.60 % (17743)------------------------------
% 0.12/0.60 % (17743)------------------------------
% 0.12/0.60 % (17760)Instruction limit reached!
% 0.12/0.60 % (17760)------------------------------
% 0.12/0.60 % (17760)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.60 % (17760)Termination reason: Unknown
% 0.12/0.60 % (17760)Termination phase: Property scanning
% 0.12/0.60
% 0.12/0.60 % (17760)Memory used [KB]: 2046
% 0.12/0.60 % (17760)Time elapsed: 0.116 s
% 0.12/0.60 % (17760)Instructions burned: 508 (million)
% 0.12/0.60 % (17760)------------------------------
% 0.12/0.60 % (17760)------------------------------
% 0.12/0.60 % (17769)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2996ds/31Mi)
% 2.38/0.61 % (17770)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2996ds/96Mi)
% 2.38/0.61 % (17771)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2996ds/453Mi)
% 2.38/0.61 % (17769)Instruction limit reached!
% 2.38/0.61 % (17769)------------------------------
% 2.38/0.61 % (17769)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.38/0.61 % (17769)Termination reason: Unknown
% 2.38/0.61 % (17769)Termination phase: Property scanning
% 2.38/0.61
% 2.38/0.61 % (17769)Memory used [KB]: 1663
% 2.38/0.61 % (17769)Time elapsed: 0.011 s
% 2.38/0.61 % (17769)Instructions burned: 31 (million)
% 2.38/0.61 % (17769)------------------------------
% 2.38/0.61 % (17769)------------------------------
% 2.38/0.61 % (17768)Instruction limit reached!
% 2.38/0.61 % (17768)------------------------------
% 2.38/0.61 % (17768)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.38/0.61 % (17768)Termination reason: Unknown
% 2.38/0.61 % (17768)Termination phase: Function definition elimination
% 2.38/0.61
% 2.38/0.61 % (17768)Memory used [KB]: 1918
% 2.38/0.61 % (17768)Time elapsed: 0.019 s
% 2.38/0.61 % (17768)Instructions burned: 64 (million)
% 2.38/0.61 % (17768)------------------------------
% 2.38/0.61 % (17768)------------------------------
% 2.38/0.62 % (17772)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2996ds/71Mi)
% 2.45/0.62 % (17773)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2996ds/83Mi)
% 2.46/0.62 % (17757)Instruction limit reached!
% 2.46/0.62 % (17757)------------------------------
% 2.46/0.62 % (17757)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.46/0.62 % (17757)Termination reason: Unknown
% 2.46/0.62 % (17757)Termination phase: Saturation
% 2.46/0.62
% 2.46/0.62 % (17757)Memory used [KB]: 7164
% 2.46/0.62 % (17757)Time elapsed: 0.166 s
% 2.46/0.62 % (17757)Instructions burned: 448 (million)
% 2.46/0.62 % (17757)------------------------------
% 2.46/0.62 % (17757)------------------------------
% 2.46/0.63 % (17770)Instruction limit reached!
% 2.46/0.63 % (17770)------------------------------
% 2.46/0.63 % (17770)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.46/0.63 % (17770)Termination reason: Unknown
% 2.46/0.63 % (17770)Termination phase: Function definition elimination
% 2.46/0.63
% 2.46/0.63 % (17770)Memory used [KB]: 1791
% 2.46/0.63 % (17770)Time elapsed: 0.026 s
% 2.46/0.63 % (17770)Instructions burned: 96 (million)
% 2.46/0.63 % (17770)------------------------------
% 2.46/0.63 % (17770)------------------------------
% 2.46/0.63 % (17745)Instruction limit reached!
% 2.46/0.63 % (17745)------------------------------
% 2.46/0.63 % (17745)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.46/0.63 % (17745)Termination reason: Unknown
% 2.46/0.63 % (17745)Termination phase: Saturation
% 2.46/0.63
% 2.46/0.63 % (17745)Memory used [KB]: 7419
% 2.46/0.63 % (17745)Time elapsed: 0.288 s
% 2.46/0.63 % (17745)Instructions burned: 880 (million)
% 2.46/0.63 % (17745)------------------------------
% 2.46/0.63 % (17745)------------------------------
% 2.46/0.64 % (17772)Instruction limit reached!
% 2.46/0.64 % (17772)------------------------------
% 2.46/0.64 % (17772)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.46/0.64 % (17772)Termination reason: Unknown
% 2.46/0.64 % (17772)Termination phase: Function definition elimination
% 2.46/0.64
% 2.46/0.64 % (17772)Memory used [KB]: 1791
% 2.46/0.64 % (17772)Time elapsed: 0.021 s
% 2.46/0.64 % (17772)Instructions burned: 71 (million)
% 2.46/0.64 % (17772)------------------------------
% 2.46/0.64 % (17772)------------------------------
% 2.46/0.64 % (17774)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2996ds/11Mi)
% 2.46/0.64 % (17775)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2996ds/41Mi)
% 2.46/0.64 % (17776)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2996ds/6Mi)
% 2.46/0.64 % (17776)Instruction limit reached!
% 2.46/0.64 % (17776)------------------------------
% 2.46/0.64 % (17776)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.46/0.64 % (17776)Termination reason: Unknown
% 2.46/0.64 % (17776)Termination phase: shuffling
% 2.46/0.64
% 2.46/0.64 % (17776)Memory used [KB]: 1407
% 2.46/0.64 % (17776)Time elapsed: 0.004 s
% 2.46/0.64 % (17776)Instructions burned: 7 (million)
% 2.46/0.64 % (17776)------------------------------
% 2.46/0.64 % (17776)------------------------------
% 2.46/0.65 % (17774)Instruction limit reached!
% 2.46/0.65 % (17774)------------------------------
% 2.46/0.65 % (17774)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.46/0.65 % (17774)Termination reason: Unknown
% 2.46/0.65 % (17774)Termination phase: shuffling
% 2.46/0.65
% 2.46/0.65 % (17774)Memory used [KB]: 1535
% 2.46/0.65 % (17774)Time elapsed: 0.008 s
% 2.46/0.65 % (17774)Instructions burned: 11 (million)
% 2.46/0.65 % (17774)------------------------------
% 2.46/0.65 % (17774)------------------------------
% 2.46/0.65 % (17777)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2996ds/150Mi)
% 2.46/0.65 % (17773)Instruction limit reached!
% 2.46/0.65 % (17773)------------------------------
% 2.46/0.65 % (17773)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.46/0.65 % (17773)Termination reason: Unknown
% 2.46/0.65 % (17773)Termination phase: Saturation
% 2.46/0.65
% 2.46/0.65 % (17773)Memory used [KB]: 6396
% 2.46/0.65 % (17773)Time elapsed: 0.029 s
% 2.46/0.65 % (17773)Instructions burned: 85 (million)
% 2.46/0.65 % (17773)------------------------------
% 2.46/0.65 % (17773)------------------------------
% 2.46/0.65 % (17778)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2996ds/343Mi)
% 2.46/0.65 % (17775)Instruction limit reached!
% 2.46/0.65 % (17775)------------------------------
% 2.46/0.65 % (17775)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.46/0.65 % (17775)Termination reason: Unknown
% 2.46/0.65 % (17775)Termination phase: Property scanning
% 2.46/0.65
% 2.46/0.65 % (17775)Memory used [KB]: 1663
% 2.46/0.65 % (17775)Time elapsed: 0.014 s
% 2.46/0.65 % (17775)Instructions burned: 44 (million)
% 2.46/0.65 % (17775)------------------------------
% 2.46/0.65 % (17775)------------------------------
% 2.46/0.66 % (17780)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on theBenchmark for (2996ds/253Mi)
% 2.46/0.66 % (17779)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on theBenchmark for (2996ds/109Mi)
% 2.46/0.66 % (17781)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2996ds/140Mi)
% 2.46/0.67 % (17780)Refutation not found, incomplete strategy
% 2.46/0.67 % (17780)------------------------------
% 2.46/0.67 % (17780)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.46/0.67 % (17780)Termination reason: Refutation not found, incomplete strategy
% 2.46/0.67
% 2.46/0.67
% 2.46/0.67 % (17780)Memory used [KB]: 6140
% 2.46/0.67 % (17780)Time elapsed: 0.015 s
% 2.46/0.67 % (17780)Instructions burned: 43 (million)
% 2.46/0.67 % (17780)------------------------------
% 2.46/0.67 % (17780)------------------------------
% 2.46/0.68 % (17781)Refutation not found, incomplete strategy
% 2.46/0.68 % (17781)------------------------------
% 2.46/0.68 % (17781)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.46/0.68 % (17781)Termination reason: Refutation not found, incomplete strategy
% 2.46/0.68
% 2.46/0.68
% 2.46/0.68 % (17781)Memory used [KB]: 6268
% 2.46/0.68 % (17781)Time elapsed: 0.019 s
% 2.46/0.68 % (17781)Instructions burned: 52 (million)
% 2.46/0.68 % (17781)------------------------------
% 2.46/0.68 % (17781)------------------------------
% 2.46/0.68 % (17782)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on theBenchmark for (2996ds/614Mi)
% 2.46/0.68 % (17777)Instruction limit reached!
% 2.46/0.68 % (17777)------------------------------
% 2.46/0.68 % (17777)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.46/0.68 % (17777)Termination reason: Unknown
% 2.46/0.68 % (17777)Termination phase: Function definition elimination
% 2.46/0.68
% 2.46/0.68 % (17777)Memory used [KB]: 1918
% 2.46/0.68 % (17777)Time elapsed: 0.037 s
% 2.46/0.68 % (17777)Instructions burned: 152 (million)
% 2.46/0.68 % (17777)------------------------------
% 2.46/0.68 % (17777)------------------------------
% 2.46/0.69 % (17767)Instruction limit reached!
% 2.46/0.69 % (17767)------------------------------
% 2.46/0.69 % (17767)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.46/0.69 % (17767)Termination reason: Unknown
% 2.46/0.69 % (17767)Termination phase: Property scanning
% 2.46/0.69
% 2.46/0.69 % (17767)Memory used [KB]: 2046
% 2.46/0.69 % (17767)Time elapsed: 0.096 s
% 2.46/0.69 % (17767)Instructions burned: 432 (million)
% 2.46/0.69 % (17767)------------------------------
% 2.46/0.69 % (17767)------------------------------
% 2.46/0.69 % (17783)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on theBenchmark for (2996ds/202Mi)
% 2.46/0.69 % (17784)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on theBenchmark for (2996ds/339Mi)
% 2.46/0.70 % (17785)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=283:si=on:rtra=on_0 on theBenchmark for (2995ds/283Mi)
% 2.79/0.70 % (17783)Refutation not found, incomplete strategy
% 2.79/0.70 % (17783)------------------------------
% 2.79/0.70 % (17783)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.79/0.70 % (17783)Termination reason: Refutation not found, incomplete strategy
% 2.79/0.70
% 2.79/0.70
% 2.79/0.70 % (17783)Memory used [KB]: 6140
% 2.79/0.70 % (17783)Time elapsed: 0.015 s
% 2.79/0.70 % (17783)Instructions burned: 44 (million)
% 2.79/0.70 % (17783)------------------------------
% 2.79/0.70 % (17783)------------------------------
% 2.79/0.71 % (17779)Instruction limit reached!
% 2.79/0.71 % (17779)------------------------------
% 2.79/0.71 % (17779)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.79/0.71 % (17779)Termination reason: Unknown
% 2.79/0.71 % (17779)Termination phase: Function definition elimination
% 2.79/0.71
% 2.79/0.71 % (17779)Memory used [KB]: 1791
% 2.79/0.71 % (17779)Time elapsed: 0.047 s
% 2.79/0.71 % (17779)Instructions burned: 110 (million)
% 2.79/0.71 % (17779)------------------------------
% 2.79/0.71 % (17779)------------------------------
% 2.79/0.71 % (17771)Instruction limit reached!
% 2.79/0.71 % (17771)------------------------------
% 2.79/0.71 % (17771)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.79/0.71 % (17771)Termination reason: Unknown
% 2.79/0.71 % (17771)Termination phase: Property scanning
% 2.79/0.71
% 2.79/0.71 % (17771)Memory used [KB]: 2046
% 2.79/0.71 % (17771)Time elapsed: 0.103 s
% 2.79/0.71 % (17771)Instructions burned: 456 (million)
% 2.79/0.71 % (17771)------------------------------
% 2.79/0.71 % (17771)------------------------------
% 2.79/0.71 % (17786)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on theBenchmark for (2995ds/134Mi)
% 2.79/0.72 % (17787)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2995ds/298Mi)
% 2.79/0.72 % (17788)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2995ds/192Mi)
% 2.79/0.74 % (17786)Instruction limit reached!
% 2.79/0.74 % (17786)------------------------------
% 2.79/0.74 % (17786)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.79/0.74 % (17786)Termination reason: Unknown
% 2.79/0.74 % (17786)Termination phase: Function definition elimination
% 2.79/0.74
% 2.79/0.74 % (17786)Memory used [KB]: 1918
% 2.79/0.74 % (17786)Time elapsed: 0.034 s
% 2.79/0.74 % (17786)Instructions burned: 136 (million)
% 2.79/0.74 % (17786)------------------------------
% 2.79/0.74 % (17786)------------------------------
% 2.79/0.75 % (17789)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on theBenchmark for (2995ds/258Mi)
% 2.79/0.76 % (17785)Instruction limit reached!
% 2.79/0.76 % (17785)------------------------------
% 2.79/0.76 % (17785)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.79/0.76 % (17785)Termination reason: Unknown
% 2.79/0.76 % (17785)Termination phase: Function definition elimination
% 2.79/0.76
% 2.79/0.76 % (17785)Memory used [KB]: 2046
% 2.79/0.76 % (17785)Time elapsed: 0.063 s
% 2.79/0.76 % (17785)Instructions burned: 287 (million)
% 2.79/0.76 % (17785)------------------------------
% 2.79/0.76 % (17785)------------------------------
% 2.79/0.76 % (17778)Instruction limit reached!
% 2.79/0.76 % (17778)------------------------------
% 2.79/0.76 % (17778)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.79/0.76 % (17778)Termination reason: Unknown
% 2.79/0.76 % (17778)Termination phase: Saturation
% 2.79/0.76
% 2.79/0.76 % (17778)Memory used [KB]: 7036
% 2.79/0.76 % (17778)Time elapsed: 0.111 s
% 2.79/0.76 % (17778)Instructions burned: 345 (million)
% 2.79/0.76 % (17778)------------------------------
% 2.79/0.76 % (17778)------------------------------
% 2.79/0.76 % (17788)Instruction limit reached!
% 2.79/0.76 % (17788)------------------------------
% 2.79/0.76 % (17788)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.79/0.76 % (17788)Termination reason: Unknown
% 2.79/0.76 % (17788)Termination phase: Function definition elimination
% 2.79/0.76
% 2.79/0.76 % (17788)Memory used [KB]: 1918
% 2.79/0.76 % (17788)Time elapsed: 0.046 s
% 2.79/0.76 % (17788)Instructions burned: 195 (million)
% 2.79/0.76 % (17788)------------------------------
% 2.79/0.76 % (17788)------------------------------
% 2.79/0.76 % (17784)Instruction limit reached!
% 2.79/0.76 % (17784)------------------------------
% 2.79/0.76 % (17784)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.79/0.76 % (17784)Termination reason: Unknown
% 2.79/0.76 % (17784)Termination phase: Property scanning
% 2.79/0.76
% 2.79/0.76 % (17784)Memory used [KB]: 1918
% 2.79/0.76 % (17784)Time elapsed: 0.074 s
% 2.79/0.76 % (17784)Instructions burned: 339 (million)
% 2.79/0.76 % (17784)------------------------------
% 2.79/0.76 % (17784)------------------------------
% 2.79/0.77 % (17790)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.36/0.77 % (17791)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on theBenchmark for (2995ds/231Mi)
% 3.36/0.77 % (17793)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2995ds/31Mi)
% 3.36/0.78 % (17792)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on theBenchmark for (2995ds/458Mi)
% 3.36/0.78 % (17787)Instruction limit reached!
% 3.36/0.78 % (17787)------------------------------
% 3.36/0.78 % (17787)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.36/0.78 % (17787)Termination reason: Unknown
% 3.36/0.78 % (17787)Termination phase: Function definition elimination
% 3.36/0.78
% 3.36/0.78 % (17787)Memory used [KB]: 2046
% 3.36/0.78 % (17787)Time elapsed: 0.066 s
% 3.36/0.78 % (17787)Instructions burned: 301 (million)
% 3.36/0.78 % (17787)------------------------------
% 3.36/0.78 % (17787)------------------------------
% 3.36/0.78 % (17793)Instruction limit reached!
% 3.36/0.78 % (17793)------------------------------
% 3.36/0.78 % (17793)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.36/0.78 % (17793)Termination reason: Unknown
% 3.36/0.78 % (17793)Termination phase: Property scanning
% 3.36/0.78
% 3.36/0.78 % (17793)Memory used [KB]: 1663
% 3.36/0.78 % (17793)Time elapsed: 0.010 s
% 3.36/0.78 % (17793)Instructions burned: 31 (million)
% 3.36/0.78 % (17793)------------------------------
% 3.36/0.78 % (17793)------------------------------
% 3.36/0.79 % (17794)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on theBenchmark for (2994ds/297Mi)
% 3.36/0.79 % (17790)Instruction limit reached!
% 3.36/0.79 % (17790)------------------------------
% 3.36/0.79 % (17790)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.36/0.79 % (17790)Termination reason: Unknown
% 3.36/0.79 % (17790)Termination phase: Function definition elimination
% 3.36/0.79
% 3.36/0.79 % (17790)Memory used [KB]: 1791
% 3.36/0.79 % (17790)Time elapsed: 0.023 s
% 3.36/0.79 % (17790)Instructions burned: 90 (million)
% 3.36/0.79 % (17790)------------------------------
% 3.36/0.79 % (17790)------------------------------
% 3.36/0.79 % (17795)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on theBenchmark for (2994ds/987Mi)
% 3.36/0.80 % (17796)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on theBenchmark for (2994ds/182Mi)
% 3.36/0.82 % (17782)Instruction limit reached!
% 3.36/0.82 % (17782)------------------------------
% 3.36/0.82 % (17782)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.36/0.82 % (17782)Termination reason: Unknown
% 3.36/0.82 % (17782)Termination phase: Property scanning
% 3.36/0.82
% 3.36/0.82 % (17782)Memory used [KB]: 2046
% 3.36/0.82 % (17782)Time elapsed: 0.136 s
% 3.36/0.82 % (17782)Instructions burned: 614 (million)
% 3.36/0.82 % (17782)------------------------------
% 3.36/0.82 % (17782)------------------------------
% 3.36/0.82 % (17791)Instruction limit reached!
% 3.36/0.82 % (17791)------------------------------
% 3.36/0.82 % (17791)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.36/0.82 % (17791)Termination reason: Unknown
% 3.36/0.82 % (17791)Termination phase: Function definition elimination
% 3.36/0.82
% 3.36/0.82 % (17791)Memory used [KB]: 1918
% 3.36/0.82 % (17791)Time elapsed: 0.050 s
% 3.36/0.82 % (17791)Instructions burned: 235 (million)
% 3.36/0.82 % (17791)------------------------------
% 3.36/0.82 % (17791)------------------------------
% 3.36/0.82 % (17797)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on theBenchmark for (2994ds/182Mi)
% 3.36/0.83 % (17789)Instruction limit reached!
% 3.36/0.83 % (17789)------------------------------
% 3.36/0.83 % (17789)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.36/0.83 % (17789)Termination reason: Unknown
% 3.36/0.83 % (17789)Termination phase: Saturation
% 3.36/0.83
% 3.36/0.83 % (17789)Memory used [KB]: 6524
% 3.36/0.83 % (17789)Time elapsed: 0.075 s
% 3.36/0.83 % (17789)Instructions burned: 260 (million)
% 3.36/0.83 % (17789)------------------------------
% 3.36/0.83 % (17789)------------------------------
% 3.36/0.83 % (17798)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on theBenchmark for (2994ds/154Mi)
% 3.36/0.84 % (17799)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on theBenchmark for (2994ds/79Mi)
% 3.36/0.84 % (17796)Instruction limit reached!
% 3.36/0.84 % (17796)------------------------------
% 3.36/0.84 % (17796)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.36/0.84 % (17796)Termination reason: Unknown
% 3.36/0.84 % (17796)Termination phase: Function definition elimination
% 3.36/0.84
% 3.36/0.84 % (17796)Memory used [KB]: 1918
% 3.36/0.84 % (17796)Time elapsed: 0.041 s
% 3.36/0.84 % (17796)Instructions burned: 184 (million)
% 3.36/0.84 % (17796)------------------------------
% 3.36/0.84 % (17796)------------------------------
% 3.36/0.85 % (17800)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on theBenchmark for (2994ds/216Mi)
% 3.36/0.86 % (17799)Instruction limit reached!
% 3.36/0.86 % (17799)------------------------------
% 3.36/0.86 % (17799)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.36/0.86 % (17799)Termination reason: Unknown
% 3.36/0.86 % (17799)Termination phase: Function definition elimination
% 3.36/0.86
% 3.36/0.86 % (17799)Memory used [KB]: 1791
% 3.36/0.86 % (17799)Time elapsed: 0.021 s
% 3.36/0.86 % (17799)Instructions burned: 83 (million)
% 3.36/0.86 % (17799)------------------------------
% 3.36/0.86 % (17799)------------------------------
% 3.36/0.86 % (17798)Instruction limit reached!
% 3.36/0.86 % (17798)------------------------------
% 3.36/0.86 % (17798)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.36/0.86 % (17798)Termination reason: Unknown
% 3.36/0.86 % (17798)Termination phase: Function definition elimination
% 3.36/0.86
% 3.36/0.86 % (17798)Memory used [KB]: 1918
% 3.36/0.86 % (17798)Time elapsed: 0.034 s
% 3.36/0.86 % (17798)Instructions burned: 156 (million)
% 3.36/0.86 % (17798)------------------------------
% 3.36/0.86 % (17798)------------------------------
% 3.36/0.86 % (17802)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on theBenchmark for (2994ds/114Mi)
% 3.88/0.87 % (17803)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on theBenchmark for (2994ds/922Mi)
% 3.88/0.88 % (17797)Instruction limit reached!
% 3.88/0.88 % (17797)------------------------------
% 3.88/0.88 % (17797)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.88/0.88 % (17797)Termination reason: Unknown
% 3.88/0.88 % (17797)Termination phase: Saturation
% 3.88/0.88
% 3.88/0.88 % (17797)Memory used [KB]: 6524
% 3.88/0.88 % (17797)Time elapsed: 0.058 s
% 3.88/0.88 % (17797)Instructions burned: 182 (million)
% 3.88/0.88 % (17797)------------------------------
% 3.88/0.88 % (17797)------------------------------
% 3.88/0.89 % (17803)Refutation not found, incomplete strategy
% 3.88/0.89 % (17803)------------------------------
% 3.88/0.89 % (17803)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.88/0.89 % (17803)Termination reason: Refutation not found, incomplete strategy
% 3.88/0.89
% 3.88/0.89
% 3.88/0.89 % (17803)Memory used [KB]: 6396
% 3.88/0.89 % (17803)Time elapsed: 0.018 s
% 3.88/0.89 % (17803)Instructions burned: 57 (million)
% 3.88/0.89 % (17803)------------------------------
% 3.88/0.89 % (17803)------------------------------
% 3.88/0.89 % (17792)Instruction limit reached!
% 3.88/0.89 % (17792)------------------------------
% 3.88/0.89 % (17792)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.88/0.89 % (17792)Termination reason: Unknown
% 3.88/0.89 % (17792)Termination phase: Property scanning
% 3.88/0.89
% 3.88/0.89 % (17792)Memory used [KB]: 2046
% 3.88/0.89 % (17792)Time elapsed: 0.111 s
% 3.88/0.89 % (17792)Instructions burned: 458 (million)
% 3.88/0.89 % (17792)------------------------------
% 3.88/0.89 % (17792)------------------------------
% 3.88/0.89 % (17794)Instruction limit reached!
% 3.88/0.89 % (17794)------------------------------
% 3.88/0.89 % (17794)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.88/0.89 % (17794)Termination reason: Unknown
% 3.88/0.89 % (17794)Termination phase: Saturation
% 3.88/0.89
% 3.88/0.89 % (17794)Memory used [KB]: 6908
% 3.88/0.89 % (17794)Time elapsed: 0.101 s
% 3.88/0.89 % (17794)Instructions burned: 298 (million)
% 3.88/0.89 % (17794)------------------------------
% 3.88/0.89 % (17794)------------------------------
% 3.88/0.89 % (17802)Instruction limit reached!
% 3.88/0.89 % (17802)------------------------------
% 3.88/0.89 % (17802)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.88/0.89 % (17802)Termination reason: Unknown
% 3.88/0.89 % (17802)Termination phase: Function definition elimination
% 3.88/0.89
% 3.88/0.89 % (17802)Memory used [KB]: 1918
% 3.88/0.89 % (17802)Time elapsed: 0.027 s
% 3.88/0.89 % (17802)Instructions burned: 117 (million)
% 3.88/0.89 % (17802)------------------------------
% 3.88/0.89 % (17802)------------------------------
% 3.88/0.89 % (17804)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on theBenchmark for (2993ds/182Mi)
% 4.25/0.90 % (17805)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on theBenchmark for (2993ds/164Mi)
% 4.25/0.90 % (17806)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on theBenchmark for (2993ds/50Mi)
% 4.25/0.90 % (17807)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on theBenchmark for (2993ds/368Mi)
% 4.25/0.90 % (17808)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on theBenchmark for (2993ds/1021Mi)
% 4.25/0.91 % (17800)Instruction limit reached!
% 4.25/0.91 % (17800)------------------------------
% 4.25/0.91 % (17800)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.25/0.91 % (17800)Termination reason: Unknown
% 4.25/0.91 % (17800)Termination phase: Saturation
% 4.25/0.91
% 4.25/0.91 % (17800)Memory used [KB]: 6780
% 4.25/0.91 % (17800)Time elapsed: 0.065 s
% 4.25/0.91 % (17800)Instructions burned: 217 (million)
% 4.25/0.91 % (17800)------------------------------
% 4.25/0.91 % (17800)------------------------------
% 4.25/0.91 % (17806)Instruction limit reached!
% 4.25/0.91 % (17806)------------------------------
% 4.25/0.91 % (17806)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.25/0.91 % (17806)Termination reason: Unknown
% 4.25/0.91 % (17806)Termination phase: Function definition elimination
% 4.25/0.91
% 4.25/0.91 % (17806)Memory used [KB]: 1791
% 4.25/0.91 % (17806)Time elapsed: 0.016 s
% 4.25/0.91 % (17806)Instructions burned: 53 (million)
% 4.25/0.91 % (17806)------------------------------
% 4.25/0.91 % (17806)------------------------------
% 4.25/0.91 % (17805)Refutation not found, incomplete strategy
% 4.25/0.91 % (17805)------------------------------
% 4.25/0.91 % (17805)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.25/0.91 % (17805)Termination reason: Refutation not found, incomplete strategy
% 4.25/0.91
% 4.25/0.91
% 4.25/0.91 % (17805)Memory used [KB]: 1791
% 4.25/0.91 % (17805)Time elapsed: 0.017 s
% 4.25/0.91 % (17805)Instructions burned: 56 (million)
% 4.25/0.91 % (17805)------------------------------
% 4.25/0.91 % (17805)------------------------------
% 4.25/0.92 % (17809)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on theBenchmark for (2993ds/267Mi)
% 4.36/0.92 % (17810)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on theBenchmark for (2993ds/204Mi)
% 4.36/0.92 % (17811)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2993ds/26Mi)
% 4.36/0.93 % (17804)Instruction limit reached!
% 4.36/0.93 % (17804)------------------------------
% 4.36/0.93 % (17804)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.36/0.93 % (17804)Termination reason: Unknown
% 4.36/0.93 % (17804)Termination phase: Function definition elimination
% 4.36/0.93
% 4.36/0.93 % (17804)Memory used [KB]: 1918
% 4.36/0.93 % (17804)Time elapsed: 0.040 s
% 4.36/0.93 % (17804)Instructions burned: 182 (million)
% 4.36/0.93 % (17804)------------------------------
% 4.36/0.93 % (17804)------------------------------
% 4.36/0.93 % (17811)Instruction limit reached!
% 4.36/0.93 % (17811)------------------------------
% 4.36/0.93 % (17811)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.36/0.93 % (17811)Termination reason: Unknown
% 4.36/0.93 % (17811)Termination phase: Property scanning
% 4.36/0.93
% 4.36/0.93 % (17811)Memory used [KB]: 1663
% 4.36/0.93 % (17811)Time elapsed: 0.009 s
% 4.36/0.93 % (17811)Instructions burned: 28 (million)
% 4.36/0.93 % (17811)------------------------------
% 4.36/0.93 % (17811)------------------------------
% 4.36/0.94 % (17812)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on theBenchmark for (2993ds/53Mi)
% 4.36/0.94 % (17813)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on theBenchmark for (2993ds/4436Mi)
% 4.36/0.95 % (17812)Instruction limit reached!
% 4.36/0.95 % (17812)------------------------------
% 4.36/0.95 % (17812)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.36/0.95 % (17812)Termination reason: Unknown
% 4.36/0.95 % (17812)Termination phase: Function definition elimination
% 4.36/0.95
% 4.36/0.95 % (17812)Memory used [KB]: 1791
% 4.36/0.95 % (17812)Time elapsed: 0.015 s
% 4.36/0.95 % (17812)Instructions burned: 56 (million)
% 4.36/0.95 % (17812)------------------------------
% 4.36/0.95 % (17812)------------------------------
% 4.36/0.96 % (17813)Refutation not found, incomplete strategy
% 4.36/0.96 % (17813)------------------------------
% 4.36/0.96 % (17813)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.36/0.96 % (17813)Termination reason: Refutation not found, incomplete strategy
% 4.36/0.96
% 4.36/0.96
% 4.36/0.96 % (17813)Memory used [KB]: 6268
% 4.36/0.96 % (17813)Time elapsed: 0.022 s
% 4.36/0.96 % (17813)Instructions burned: 71 (million)
% 4.36/0.96 % (17813)------------------------------
% 4.36/0.96 % (17813)------------------------------
% 4.36/0.96 % (17814)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on theBenchmark for (2993ds/1539Mi)
% 4.36/0.97 % (17810)Instruction limit reached!
% 4.36/0.97 % (17810)------------------------------
% 4.36/0.97 % (17810)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.36/0.97 % (17810)Termination reason: Unknown
% 4.36/0.97 % (17810)Termination phase: Function definition elimination
% 4.36/0.97
% 4.36/0.97 % (17810)Memory used [KB]: 1918
% 4.36/0.97 % (17810)Time elapsed: 0.046 s
% 4.36/0.97 % (17810)Instructions burned: 208 (million)
% 4.36/0.97 % (17810)------------------------------
% 4.36/0.97 % (17810)------------------------------
% 4.36/0.97 % (17815)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on theBenchmark for (2993ds/408Mi)
% 4.36/0.97 % (17809)Instruction limit reached!
% 4.36/0.97 % (17809)------------------------------
% 4.36/0.97 % (17809)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.36/0.97 % (17809)Termination reason: Unknown
% 4.36/0.97 % (17809)Termination phase: Function definition elimination
% 4.36/0.97
% 4.36/0.97 % (17809)Memory used [KB]: 2046
% 4.36/0.97 % (17809)Time elapsed: 0.055 s
% 4.36/0.97 % (17809)Instructions burned: 267 (million)
% 4.36/0.97 % (17809)------------------------------
% 4.36/0.97 % (17809)------------------------------
% 4.36/0.97 % (17816)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on theBenchmark for (2993ds/5205Mi)
% 4.36/0.98 % (17807)Instruction limit reached!
% 4.36/0.98 % (17807)------------------------------
% 4.36/0.98 % (17807)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.36/0.98 % (17807)Termination reason: Unknown
% 4.36/0.98 % (17807)Termination phase: Property scanning
% 4.36/0.98
% 4.36/0.98 % (17807)Memory used [KB]: 2046
% 4.36/0.98 % (17807)Time elapsed: 0.080 s
% 4.36/0.98 % (17807)Instructions burned: 370 (million)
% 4.36/0.98 % (17807)------------------------------
% 4.36/0.98 % (17807)------------------------------
% 4.36/0.98 % (17817)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on theBenchmark for (2993ds/1913Mi)
% 4.36/0.99 % (17818)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on theBenchmark for (2993ds/4350Mi)
% 4.68/1.01 % (17795)Instruction limit reached!
% 4.68/1.01 % (17795)------------------------------
% 4.68/1.01 % (17795)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.68/1.01 % (17795)Termination reason: Unknown
% 4.68/1.01 % (17795)Termination phase: Property scanning
% 4.68/1.01
% 4.68/1.01 % (17795)Memory used [KB]: 2046
% 4.68/1.01 % (17795)Time elapsed: 0.218 s
% 4.68/1.01 % (17795)Instructions burned: 990 (million)
% 4.68/1.01 % (17795)------------------------------
% 4.68/1.01 % (17795)------------------------------
% 4.68/1.02 % (17819)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on theBenchmark for (2992ds/68Mi)
% 4.68/1.03 % (17819)Instruction limit reached!
% 4.68/1.03 % (17819)------------------------------
% 4.68/1.03 % (17819)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.68/1.03 % (17819)Termination reason: Unknown
% 4.68/1.03 % (17819)Termination phase: Function definition elimination
% 4.68/1.03
% 4.68/1.03 % (17819)Memory used [KB]: 1791
% 4.68/1.03 % (17819)Time elapsed: 0.019 s
% 4.68/1.03 % (17819)Instructions burned: 69 (million)
% 4.68/1.03 % (17819)------------------------------
% 4.68/1.03 % (17819)------------------------------
% 4.68/1.04 % (17820)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on theBenchmark for (2992ds/358Mi)
% 4.94/1.09 % (17815)Instruction limit reached!
% 4.94/1.09 % (17815)------------------------------
% 4.94/1.09 % (17815)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.94/1.09 % (17815)Termination reason: Unknown
% 4.94/1.09 % (17815)Termination phase: Saturation
% 4.94/1.09
% 4.94/1.09 % (17815)Memory used [KB]: 7291
% 4.94/1.09 % (17815)Time elapsed: 0.119 s
% 4.94/1.09 % (17815)Instructions burned: 410 (million)
% 4.94/1.09 % (17815)------------------------------
% 4.94/1.09 % (17815)------------------------------
% 4.94/1.09 % (17821)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2991ds/31Mi)
% 4.94/1.10 % (17821)Instruction limit reached!
% 4.94/1.10 % (17821)------------------------------
% 4.94/1.10 % (17821)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.94/1.10 % (17821)Termination reason: Unknown
% 4.94/1.10 % (17821)Termination phase: Property scanning
% 4.94/1.10
% 4.94/1.10 % (17821)Memory used [KB]: 1663
% 4.94/1.10 % (17821)Time elapsed: 0.010 s
% 4.94/1.10 % (17821)Instructions burned: 33 (million)
% 4.94/1.10 % (17821)------------------------------
% 4.94/1.10 % (17821)------------------------------
% 4.94/1.11 % (17822)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on theBenchmark for (2991ds/279Mi)
% 4.94/1.13 % (17808)Instruction limit reached!
% 4.94/1.13 % (17808)------------------------------
% 4.94/1.13 % (17808)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.94/1.13 % (17808)Termination reason: Unknown
% 4.94/1.13 % (17808)Termination phase: Property scanning
% 4.94/1.13
% 4.94/1.13 % (17808)Memory used [KB]: 2046
% 4.94/1.13 % (17808)Time elapsed: 0.228 s
% 4.94/1.13 % (17808)Instructions burned: 1022 (million)
% 4.94/1.13 % (17808)------------------------------
% 4.94/1.13 % (17808)------------------------------
% 4.94/1.13 % (17823)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on theBenchmark for (2991ds/258Mi)
% 4.94/1.15 % (17820)Instruction limit reached!
% 4.94/1.15 % (17820)------------------------------
% 4.94/1.15 % (17820)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.94/1.15 % (17820)Termination reason: Unknown
% 4.94/1.15 % (17820)Termination phase: Saturation
% 4.94/1.15
% 4.94/1.15 % (17820)Memory used [KB]: 7291
% 4.94/1.15 % (17820)Time elapsed: 0.110 s
% 4.94/1.15 % (17820)Instructions burned: 359 (million)
% 4.94/1.15 % (17820)------------------------------
% 4.94/1.15 % (17820)------------------------------
% 4.94/1.16 % (17824)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2991ds/26Mi)
% 4.94/1.17 % (17824)Instruction limit reached!
% 4.94/1.17 % (17824)------------------------------
% 4.94/1.17 % (17824)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.94/1.17 % (17824)Termination reason: Unknown
% 4.94/1.17 % (17824)Termination phase: Property scanning
% 4.94/1.17
% 4.94/1.17 % (17824)Memory used [KB]: 1663
% 4.94/1.17 % (17824)Time elapsed: 0.008 s
% 4.94/1.17 % (17824)Instructions burned: 27 (million)
% 4.94/1.17 % (17824)------------------------------
% 4.94/1.17 % (17824)------------------------------
% 4.94/1.17 % (17825)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on theBenchmark for (2991ds/995Mi)
% 6.38/1.19 % (17822)Instruction limit reached!
% 6.38/1.19 % (17822)------------------------------
% 6.38/1.19 % (17822)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.38/1.19 % (17822)Termination reason: Unknown
% 6.38/1.19 % (17822)Termination phase: Saturation
% 6.38/1.19
% 6.38/1.19 % (17822)Memory used [KB]: 6908
% 6.38/1.19 % (17822)Time elapsed: 0.081 s
% 6.38/1.19 % (17822)Instructions burned: 280 (million)
% 6.38/1.19 % (17822)------------------------------
% 6.38/1.19 % (17822)------------------------------
% 6.38/1.20 % (17826)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on theBenchmark for (2990ds/373Mi)
% 6.56/1.22 % (17823)Instruction limit reached!
% 6.56/1.22 % (17823)------------------------------
% 6.56/1.22 % (17823)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.56/1.22 % (17823)Termination reason: Unknown
% 6.56/1.22 % (17823)Termination phase: Saturation
% 6.56/1.22
% 6.56/1.22 % (17823)Memory used [KB]: 7291
% 6.56/1.22 % (17823)Time elapsed: 0.106 s
% 6.56/1.22 % (17823)Instructions burned: 259 (million)
% 6.56/1.22 % (17823)------------------------------
% 6.56/1.22 % (17823)------------------------------
% 6.56/1.23 % (17827)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on theBenchmark for (2990ds/253Mi)
% 6.72/1.28 % (17826)Instruction limit reached!
% 6.72/1.28 % (17826)------------------------------
% 6.72/1.28 % (17826)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.72/1.28 % (17826)Termination reason: Unknown
% 6.72/1.28 % (17826)Termination phase: Property scanning
% 6.72/1.28
% 6.72/1.28 % (17826)Memory used [KB]: 2046
% 6.72/1.28 % (17826)Time elapsed: 0.077 s
% 6.72/1.28 % (17826)Instructions burned: 373 (million)
% 6.72/1.28 % (17826)------------------------------
% 6.72/1.28 % (17826)------------------------------
% 6.72/1.28 % (17827)Instruction limit reached!
% 6.72/1.28 % (17827)------------------------------
% 6.72/1.28 % (17827)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.72/1.28 % (17827)Termination reason: Unknown
% 6.72/1.28 % (17827)Termination phase: Function definition elimination
% 6.72/1.28
% 6.72/1.28 % (17827)Memory used [KB]: 1918
% 6.72/1.28 % (17827)Time elapsed: 0.054 s
% 6.72/1.28 % (17827)Instructions burned: 256 (million)
% 6.72/1.28 % (17827)------------------------------
% 6.72/1.28 % (17827)------------------------------
% 6.72/1.28 % (17828)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on theBenchmark for (2989ds/832Mi)
% 6.72/1.29 % (17829)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on theBenchmark for (2989ds/668Mi)
% 6.72/1.31 % (17828)Refutation not found, incomplete strategy
% 6.72/1.31 % (17828)------------------------------
% 6.72/1.31 % (17828)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.72/1.31 % (17828)Termination reason: Refutation not found, incomplete strategy
% 6.72/1.31
% 6.72/1.31
% 6.72/1.31 % (17828)Memory used [KB]: 6396
% 6.72/1.31 % (17828)Time elapsed: 0.021 s
% 6.72/1.31 % (17828)Instructions burned: 73 (million)
% 6.72/1.31 % (17828)------------------------------
% 6.72/1.31 % (17828)------------------------------
% 6.72/1.31 % (17814)Instruction limit reached!
% 6.72/1.31 % (17814)------------------------------
% 6.72/1.31 % (17814)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.72/1.31 % (17814)Termination reason: Unknown
% 6.72/1.31 % (17814)Termination phase: Property scanning
% 6.72/1.31
% 6.72/1.31 % (17814)Memory used [KB]: 2046
% 6.72/1.31 % (17814)Time elapsed: 0.348 s
% 6.72/1.31 % (17814)Instructions burned: 1542 (million)
% 6.72/1.31 % (17814)------------------------------
% 6.72/1.31 % (17814)------------------------------
% 6.72/1.31 % (17830)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=40:si=on:rtra=on_0 on theBenchmark for (2989ds/40Mi)
% 6.72/1.32 % (17831)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on theBenchmark for (2989ds/294Mi)
% 7.34/1.33 % (17830)Instruction limit reached!
% 7.34/1.33 % (17830)------------------------------
% 7.34/1.33 % (17830)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.34/1.33 % (17830)Termination reason: Unknown
% 7.34/1.33 % (17830)Termination phase: Property scanning
% 7.34/1.33
% 7.34/1.33 % (17830)Memory used [KB]: 1663
% 7.34/1.33 % (17830)Time elapsed: 0.012 s
% 7.34/1.33 % (17830)Instructions burned: 40 (million)
% 7.34/1.33 % (17830)------------------------------
% 7.34/1.33 % (17830)------------------------------
% 7.34/1.33 % (17832)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on theBenchmark for (2989ds/187Mi)
% 7.34/1.37 % (17832)Instruction limit reached!
% 7.34/1.37 % (17832)------------------------------
% 7.34/1.37 % (17832)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.34/1.37 % (17832)Termination reason: Unknown
% 7.34/1.37 % (17832)Termination phase: Function definition elimination
% 7.34/1.37
% 7.34/1.37 % (17832)Memory used [KB]: 1918
% 7.34/1.37 % (17832)Time elapsed: 0.040 s
% 7.34/1.37 % (17832)Instructions burned: 190 (million)
% 7.34/1.37 % (17832)------------------------------
% 7.34/1.37 % (17832)------------------------------
% 7.34/1.38 % (17833)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on theBenchmark for (2989ds/371Mi)
% 7.66/1.39 % (17825)Instruction limit reached!
% 7.66/1.39 % (17825)------------------------------
% 7.66/1.39 % (17825)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.66/1.39 % (17825)Termination reason: Unknown
% 7.66/1.39 % (17825)Termination phase: Property scanning
% 7.66/1.39
% 7.66/1.39 % (17825)Memory used [KB]: 2046
% 7.66/1.39 % (17825)Time elapsed: 0.221 s
% 7.66/1.40 % (17825)Instructions burned: 996 (million)
% 7.66/1.40 % (17825)------------------------------
% 7.66/1.40 % (17825)------------------------------
% 7.66/1.40 % (17831)Instruction limit reached!
% 7.66/1.40 % (17831)------------------------------
% 7.66/1.40 % (17831)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.66/1.40 % (17831)Termination reason: Unknown
% 7.66/1.40 % (17831)Termination phase: Saturation
% 7.66/1.40
% 7.66/1.40 % (17831)Memory used [KB]: 6780
% 7.66/1.40 % (17831)Time elapsed: 0.086 s
% 7.66/1.40 % (17831)Instructions burned: 295 (million)
% 7.66/1.40 % (17831)------------------------------
% 7.66/1.40 % (17831)------------------------------
% 7.66/1.40 % (17833)Refutation not found, incomplete strategy
% 7.66/1.40 % (17833)------------------------------
% 7.66/1.40 % (17833)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.66/1.40 % (17833)Termination reason: Refutation not found, incomplete strategy
% 7.66/1.40
% 7.66/1.40
% 7.66/1.40 % (17833)Memory used [KB]: 6268
% 7.66/1.40 % (17833)Time elapsed: 0.022 s
% 7.66/1.40 % (17833)Instructions burned: 71 (million)
% 7.66/1.40 % (17833)------------------------------
% 7.66/1.40 % (17833)------------------------------
% 7.66/1.40 % (17834)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on theBenchmark for (2988ds/1827Mi)
% 7.66/1.41 % (17835)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on theBenchmark for (2988ds/70Mi)
% 7.66/1.41 % (17836)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on theBenchmark for (2988ds/316Mi)
% 7.66/1.43 % (17835)Instruction limit reached!
% 7.66/1.43 % (17835)------------------------------
% 7.66/1.43 % (17835)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.66/1.43 % (17835)Termination reason: Unknown
% 7.66/1.43 % (17835)Termination phase: Function definition elimination
% 7.66/1.43
% 7.66/1.43 % (17835)Memory used [KB]: 1918
% 7.66/1.43 % (17835)Time elapsed: 0.018 s
% 7.66/1.43 % (17835)Instructions burned: 71 (million)
% 7.66/1.43 % (17835)------------------------------
% 7.66/1.43 % (17835)------------------------------
% 7.66/1.43 % (17829)Instruction limit reached!
% 7.66/1.43 % (17829)------------------------------
% 7.66/1.43 % (17829)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.66/1.43 % (17829)Termination reason: Unknown
% 7.66/1.43 % (17829)Termination phase: Property scanning
% 7.66/1.43
% 7.66/1.43 % (17829)Memory used [KB]: 2046
% 7.66/1.43 % (17829)Time elapsed: 0.143 s
% 7.66/1.43 % (17829)Instructions burned: 669 (million)
% 7.66/1.43 % (17829)------------------------------
% 7.66/1.43 % (17829)------------------------------
% 7.66/1.43 % (17837)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on theBenchmark for (2988ds/932Mi)
% 7.66/1.44 % (17838)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on theBenchmark for (2988ds/4714Mi)
% 8.22/1.47 % (17836)Instruction limit reached!
% 8.22/1.47 % (17836)------------------------------
% 8.22/1.47 % (17836)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 8.22/1.47 % (17836)Termination reason: Unknown
% 8.22/1.47 % (17836)Termination phase: Function definition elimination
% 8.22/1.47
% 8.22/1.47 % (17836)Memory used [KB]: 2046
% 8.22/1.47 % (17836)Time elapsed: 0.064 s
% 8.22/1.47 % (17836)Instructions burned: 318 (million)
% 8.22/1.47 % (17836)------------------------------
% 8.22/1.47 % (17836)------------------------------
% 8.22/1.48 % (17839)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on theBenchmark for (2988ds/8250Mi)
% 8.49/1.59 % (17817)Instruction limit reached!
% 8.49/1.59 % (17817)------------------------------
% 8.49/1.59 % (17817)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 8.49/1.59 % (17817)Termination reason: Unknown
% 8.49/1.59 % (17817)Termination phase: Saturation
% 8.49/1.59
% 8.49/1.59 % (17817)Memory used [KB]: 3837
% 8.49/1.59 % (17817)Time elapsed: 0.611 s
% 8.49/1.59 % (17817)Instructions burned: 1915 (million)
% 8.49/1.59 % (17817)------------------------------
% 8.49/1.59 % (17817)------------------------------
% 8.49/1.60 % (17840)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on theBenchmark for (2986ds/770Mi)
% 8.75/1.64 % (17837)Instruction limit reached!
% 8.75/1.64 % (17837)------------------------------
% 8.75/1.64 % (17837)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 8.75/1.64 % (17837)Termination reason: Unknown
% 8.75/1.64 % (17837)Termination phase: Property scanning
% 8.75/1.64
% 8.75/1.64 % (17837)Memory used [KB]: 2046
% 8.75/1.64 % (17837)Time elapsed: 0.209 s
% 8.75/1.64 % (17837)Instructions burned: 934 (million)
% 8.75/1.64 % (17837)------------------------------
% 8.75/1.64 % (17837)------------------------------
% 8.75/1.65 % (17841)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on theBenchmark for (2986ds/794Mi)
% 10.65/1.82 % (17841)Instruction limit reached!
% 10.65/1.82 % (17841)------------------------------
% 10.65/1.82 % (17841)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 10.65/1.82 % (17841)Termination reason: Unknown
% 10.65/1.82 % (17841)Termination phase: Property scanning
% 10.65/1.82
% 10.65/1.82 % (17841)Memory used [KB]: 2046
% 10.65/1.82 % (17841)Time elapsed: 0.172 s
% 10.65/1.82 % (17841)Instructions burned: 795 (million)
% 10.65/1.82 % (17841)------------------------------
% 10.65/1.82 % (17841)------------------------------
% 10.92/1.83 % (17842)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on theBenchmark for (2984ds/464Mi)
% 10.98/1.84 % (17840)Instruction limit reached!
% 10.98/1.84 % (17840)------------------------------
% 10.98/1.84 % (17840)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 10.98/1.84 % (17840)Termination reason: Unknown
% 10.98/1.84 % (17840)Termination phase: Saturation
% 10.98/1.84
% 10.98/1.84 % (17840)Memory used [KB]: 10490
% 10.98/1.84 % (17840)Time elapsed: 0.243 s
% 10.98/1.84 % (17840)Instructions burned: 770 (million)
% 10.98/1.84 % (17840)------------------------------
% 10.98/1.84 % (17840)------------------------------
% 10.98/1.85 % (17843)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on theBenchmark for (2984ds/1376Mi)
% 11.35/1.93 % (17842)Instruction limit reached!
% 11.35/1.93 % (17842)------------------------------
% 11.35/1.93 % (17842)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 11.35/1.93 % (17842)Termination reason: Unknown
% 11.35/1.93 % (17842)Termination phase: Property scanning
% 11.35/1.93
% 11.35/1.93 % (17842)Memory used [KB]: 2046
% 11.35/1.93 % (17842)Time elapsed: 0.100 s
% 11.35/1.93 % (17842)Instructions burned: 468 (million)
% 11.35/1.93 % (17842)------------------------------
% 11.35/1.93 % (17842)------------------------------
% 11.35/1.94 % (17844)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on theBenchmark for (2983ds/906Mi)
% 11.76/1.98 % (17834)Instruction limit reached!
% 11.76/1.98 % (17834)------------------------------
% 11.76/1.98 % (17834)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 11.76/1.98 % (17834)Termination reason: Unknown
% 11.76/1.98 % (17834)Termination phase: Saturation
% 11.76/1.98
% 11.76/1.98 % (17834)Memory used [KB]: 9850
% 11.76/1.98 % (17834)Time elapsed: 0.580 s
% 11.76/1.98 % (17834)Instructions burned: 1827 (million)
% 11.76/1.98 % (17834)------------------------------
% 11.76/1.98 % (17834)------------------------------
% 11.76/1.99 % (17845)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on theBenchmark for (2982ds/434Mi)
% 12.27/2.12 % (17845)Instruction limit reached!
% 12.27/2.12 % (17845)------------------------------
% 12.27/2.12 % (17845)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 12.27/2.12 % (17845)Termination reason: Unknown
% 12.27/2.12 % (17845)Termination phase: Saturation
% 12.27/2.12
% 12.27/2.12 % (17845)Memory used [KB]: 6908
% 12.27/2.12 % (17845)Time elapsed: 0.132 s
% 12.27/2.12 % (17845)Instructions burned: 436 (million)
% 12.27/2.12 % (17845)------------------------------
% 12.27/2.12 % (17845)------------------------------
% 12.58/2.13 % (17846)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on theBenchmark for (2981ds/865Mi)
% 12.58/2.13 % (17844)Instruction limit reached!
% 12.58/2.13 % (17844)------------------------------
% 12.58/2.13 % (17844)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 12.58/2.13 % (17844)Termination reason: Unknown
% 12.58/2.13 % (17844)Termination phase: Property scanning
% 12.58/2.13
% 12.58/2.13 % (17844)Memory used [KB]: 2046
% 12.58/2.13 % (17844)Time elapsed: 0.196 s
% 12.58/2.13 % (17844)Instructions burned: 907 (million)
% 12.58/2.13 % (17844)------------------------------
% 12.58/2.13 % (17844)------------------------------
% 12.82/2.14 % (17847)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on theBenchmark for (2981ds/593Mi)
% 12.82/2.15 % (17846)Refutation not found, incomplete strategy
% 12.82/2.15 % (17846)------------------------------
% 12.82/2.15 % (17846)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 12.82/2.15 % (17846)Termination reason: Refutation not found, incomplete strategy
% 12.82/2.15
% 12.82/2.15
% 12.82/2.15 % (17846)Memory used [KB]: 6268
% 12.82/2.15 % (17846)Time elapsed: 0.020 s
% 12.82/2.15 % (17846)Instructions burned: 66 (million)
% 12.82/2.15 % (17846)------------------------------
% 12.82/2.15 % (17846)------------------------------
% 12.82/2.16 % (17848)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on theBenchmark for (2981ds/443Mi)
% 12.82/2.16 % (17843)Instruction limit reached!
% 12.82/2.16 % (17843)------------------------------
% 12.82/2.16 % (17843)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 12.82/2.16 % (17843)Termination reason: Unknown
% 12.82/2.16 % (17843)Termination phase: Property scanning
% 12.82/2.16
% 12.82/2.16 % (17843)Memory used [KB]: 2046
% 12.82/2.16 % (17843)Time elapsed: 0.310 s
% 12.82/2.16 % (17843)Instructions burned: 1380 (million)
% 12.82/2.16 % (17843)------------------------------
% 12.82/2.16 % (17843)------------------------------
% 12.82/2.17 % (17849)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on theBenchmark for (2981ds/594Mi)
% 13.45/2.23 % (17818)Instruction limit reached!
% 13.45/2.23 % (17818)------------------------------
% 13.45/2.23 % (17818)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 13.45/2.23 % (17818)Termination reason: Unknown
% 13.45/2.23 % (17818)Termination phase: Saturation
% 13.45/2.23
% 13.45/2.23 % (17818)Memory used [KB]: 11897
% 13.45/2.23 % (17818)Time elapsed: 1.250 s
% 13.45/2.23 % (17818)Instructions burned: 4350 (million)
% 13.45/2.23 % (17818)------------------------------
% 13.45/2.23 % (17818)------------------------------
% 13.45/2.24 % (17850)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on theBenchmark for (2980ds/327Mi)
% 13.45/2.27 % (17848)Instruction limit reached!
% 13.45/2.27 % (17848)------------------------------
% 13.45/2.27 % (17848)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 13.45/2.27 % (17848)Termination reason: Unknown
% 13.45/2.27 % (17848)Termination phase: Saturation
% 13.45/2.27
% 13.45/2.27 % (17848)Memory used [KB]: 6524
% 13.45/2.27 % (17848)Time elapsed: 0.108 s
% 13.45/2.27 % (17848)Instructions burned: 444 (million)
% 13.45/2.27 % (17848)------------------------------
% 13.45/2.27 % (17848)------------------------------
% 13.45/2.27 % (17847)Instruction limit reached!
% 13.45/2.27 % (17847)------------------------------
% 13.45/2.27 % (17847)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 13.45/2.27 % (17847)Termination reason: Unknown
% 13.45/2.27 % (17847)Termination phase: Property scanning
% 13.45/2.27
% 13.45/2.27 % (17847)Memory used [KB]: 2046
% 13.45/2.27 % (17847)Time elapsed: 0.126 s
% 13.45/2.27 % (17847)Instructions burned: 594 (million)
% 13.45/2.27 % (17847)------------------------------
% 13.45/2.27 % (17847)------------------------------
% 13.45/2.27 % (17816)Instruction limit reached!
% 13.45/2.27 % (17816)------------------------------
% 13.45/2.27 % (17816)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 13.45/2.27 % (17816)Termination reason: Unknown
% 13.45/2.27 % (17816)Termination phase: Saturation
% 13.45/2.27
% 13.45/2.27 % (17816)Memory used [KB]: 6908
% 13.45/2.27 % (17816)Time elapsed: 1.298 s
% 13.45/2.27 % (17816)Instructions burned: 5205 (million)
% 13.45/2.27 % (17816)------------------------------
% 13.45/2.27 % (17816)------------------------------
% 13.45/2.27 % (17851)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on theBenchmark for (2980ds/5411Mi)
% 13.45/2.27 % (17852)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on theBenchmark for (2980ds/1762Mi)
% 13.45/2.28 % (17853)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on theBenchmark for (2980ds/96Mi)
% 14.15/2.29 % (17851)Refutation not found, incomplete strategy
% 14.15/2.29 % (17851)------------------------------
% 14.15/2.29 % (17851)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 14.15/2.29 % (17851)Termination reason: Refutation not found, incomplete strategy
% 14.15/2.29
% 14.15/2.29
% 14.15/2.29 % (17851)Memory used [KB]: 6140
% 14.15/2.29 % (17851)Time elapsed: 0.012 s
% 14.15/2.29 % (17851)Instructions burned: 40 (million)
% 14.15/2.29 % (17851)------------------------------
% 14.15/2.29 % (17851)------------------------------
% 14.15/2.29 % (17854)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on theBenchmark for (2979ds/503Mi)
% 14.15/2.30 % (17853)Instruction limit reached!
% 14.15/2.30 % (17853)------------------------------
% 14.15/2.30 % (17853)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 14.15/2.30 % (17853)Termination reason: Unknown
% 14.15/2.30 % (17853)Termination phase: Function definition elimination
% 14.15/2.30
% 14.15/2.30 % (17853)Memory used [KB]: 1918
% 14.15/2.30 % (17853)Time elapsed: 0.024 s
% 14.15/2.30 % (17853)Instructions burned: 100 (million)
% 14.15/2.30 % (17853)------------------------------
% 14.15/2.30 % (17853)------------------------------
% 14.15/2.31 % (17855)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2979ds/90Mi)
% 14.15/2.33 % (17855)Instruction limit reached!
% 14.15/2.33 % (17855)------------------------------
% 14.15/2.33 % (17855)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 14.15/2.33 % (17855)Termination reason: Unknown
% 14.15/2.33 % (17855)Termination phase: Function definition elimination
% 14.15/2.33
% 14.15/2.33 % (17855)Memory used [KB]: 1791
% 14.15/2.33 % (17855)Time elapsed: 0.023 s
% 14.15/2.33 % (17855)Instructions burned: 90 (million)
% 14.15/2.33 % (17855)------------------------------
% 14.15/2.33 % (17855)------------------------------
% 14.15/2.34 % (17856)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on theBenchmark for (2979ds/593Mi)
% 14.15/2.34 % (17849)Instruction limit reached!
% 14.15/2.34 % (17849)------------------------------
% 14.15/2.34 % (17849)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 14.15/2.34 % (17849)Termination reason: Unknown
% 14.15/2.34 % (17849)Termination phase: Saturation
% 14.15/2.34
% 14.15/2.34 % (17849)Memory used [KB]: 6780
% 14.15/2.34 % (17849)Time elapsed: 0.176 s
% 14.15/2.34 % (17849)Instructions burned: 594 (million)
% 14.15/2.34 % (17849)------------------------------
% 14.15/2.34 % (17849)------------------------------
% 14.15/2.35 % (17850)Instruction limit reached!
% 14.15/2.35 % (17850)------------------------------
% 14.15/2.35 % (17850)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 14.15/2.35 % (17850)Termination reason: Unknown
% 14.15/2.35 % (17850)Termination phase: Saturation
% 14.15/2.35
% 14.15/2.35 % (17850)Memory used [KB]: 7291
% 14.15/2.35 % (17850)Time elapsed: 0.110 s
% 14.15/2.35 % (17850)Instructions burned: 328 (million)
% 14.15/2.35 % (17850)------------------------------
% 14.15/2.35 % (17850)------------------------------
% 14.15/2.35 % (17857)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on theBenchmark for (2979ds/1512Mi)
% 14.15/2.36 % (17858)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on theBenchmark for (2979ds/569Mi)
% 14.15/2.37 % (17857)Refutation not found, incomplete strategy
% 14.15/2.37 % (17857)------------------------------
% 14.15/2.37 % (17857)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 14.15/2.37 % (17857)Termination reason: Refutation not found, incomplete strategy
% 14.15/2.37
% 14.15/2.37
% 14.15/2.37 % (17857)Memory used [KB]: 6524
% 14.15/2.37 % (17857)Time elapsed: 0.023 s
% 14.15/2.37 % (17857)Instructions burned: 77 (million)
% 14.15/2.37 % (17857)------------------------------
% 14.15/2.37 % (17857)------------------------------
% 14.66/2.38 % (17859)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on theBenchmark for (2979ds/501Mi)
% 14.81/2.44 % (17854)Instruction limit reached!
% 14.81/2.44 % (17854)------------------------------
% 14.81/2.44 % (17854)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 14.81/2.44 % (17854)Termination reason: Unknown
% 14.81/2.44 % (17854)Termination phase: Saturation
% 14.81/2.44
% 14.81/2.44 % (17854)Memory used [KB]: 6908
% 14.81/2.44 % (17854)Time elapsed: 0.145 s
% 14.81/2.44 % (17854)Instructions burned: 504 (million)
% 14.81/2.44 % (17854)------------------------------
% 14.81/2.44 % (17854)------------------------------
% 14.81/2.45 % (17860)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on theBenchmark for (2978ds/562Mi)
% 14.81/2.47 % (17856)Instruction limit reached!
% 14.81/2.47 % (17856)------------------------------
% 14.81/2.47 % (17856)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 14.81/2.47 % (17856)Termination reason: Unknown
% 14.81/2.47 % (17856)Termination phase: Property scanning
% 14.81/2.47
% 14.81/2.47 % (17856)Memory used [KB]: 2046
% 14.81/2.47 % (17856)Time elapsed: 0.126 s
% 14.81/2.47 % (17856)Instructions burned: 597 (million)
% 14.81/2.47 % (17856)------------------------------
% 14.81/2.47 % (17856)------------------------------
% 14.81/2.48 % (17861)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on theBenchmark for (2978ds/406Mi)
% 14.81/2.48 % (17858)Instruction limit reached!
% 14.81/2.48 % (17858)------------------------------
% 14.81/2.48 % (17858)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 14.81/2.48 % (17858)Termination reason: Unknown
% 14.81/2.48 % (17858)Termination phase: Property scanning
% 14.81/2.48
% 14.81/2.48 % (17858)Memory used [KB]: 2046
% 14.81/2.48 % (17858)Time elapsed: 0.119 s
% 14.81/2.48 % (17858)Instructions burned: 569 (million)
% 14.81/2.48 % (17858)------------------------------
% 14.81/2.48 % (17858)------------------------------
% 14.81/2.49 % (17862)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on theBenchmark for (2978ds/582Mi)
% 14.81/2.49 % (17859)Instruction limit reached!
% 14.81/2.49 % (17859)------------------------------
% 14.81/2.49 % (17859)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 14.81/2.49 % (17859)Termination reason: Unknown
% 14.81/2.49 % (17859)Termination phase: Property scanning
% 14.81/2.49
% 14.81/2.49 % (17859)Memory used [KB]: 2046
% 14.81/2.49 % (17859)Time elapsed: 0.105 s
% 14.81/2.49 % (17859)Instructions burned: 502 (million)
% 14.81/2.49 % (17859)------------------------------
% 14.81/2.49 % (17859)------------------------------
% 14.81/2.50 % (17863)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on theBenchmark for (2977ds/456Mi)
% 15.62/2.52 % (17863)Refutation not found, incomplete strategy
% 15.62/2.52 % (17863)------------------------------
% 15.62/2.52 % (17863)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 15.62/2.52 % (17863)Termination reason: Refutation not found, incomplete strategy
% 15.62/2.52
% 15.62/2.52
% 15.62/2.52 % (17863)Memory used [KB]: 6396
% 15.62/2.52 % (17863)Time elapsed: 0.022 s
% 15.62/2.52 % (17863)Instructions burned: 75 (million)
% 15.62/2.52 % (17863)------------------------------
% 15.62/2.52 % (17863)------------------------------
% 15.62/2.53 % (17864)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on theBenchmark for (2977ds/393Mi)
% 15.62/2.54 % (17838)Instruction limit reached!
% 15.62/2.54 % (17838)------------------------------
% 15.62/2.54 % (17838)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 15.62/2.54 % (17838)Termination reason: Unknown
% 15.62/2.54 % (17838)Termination phase: Saturation
% 15.62/2.54
% 15.62/2.54 % (17838)Memory used [KB]: 2430
% 15.62/2.54 % (17838)Time elapsed: 1.102 s
% 15.62/2.54 % (17838)Instructions burned: 4715 (million)
% 15.62/2.54 % (17838)------------------------------
% 15.62/2.54 % (17838)------------------------------
% 15.62/2.55 % (17865)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on theBenchmark for (2977ds/1335Mi)
% 15.81/2.60 % (17860)Instruction limit reached!
% 15.81/2.60 % (17860)------------------------------
% 15.81/2.60 % (17860)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 15.81/2.60 % (17860)Termination reason: Unknown
% 15.81/2.60 % (17860)Termination phase: Saturation
% 15.81/2.60
% 15.81/2.60 % (17860)Memory used [KB]: 6908
% 15.81/2.60 % (17860)Time elapsed: 0.158 s
% 15.81/2.60 % (17860)Instructions burned: 563 (million)
% 15.81/2.60 % (17860)------------------------------
% 15.81/2.60 % (17860)------------------------------
% 15.81/2.61 % (17864)Instruction limit reached!
% 15.81/2.61 % (17864)------------------------------
% 15.81/2.61 % (17864)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 15.81/2.61 % (17864)Termination reason: Unknown
% 15.81/2.61 % (17864)Termination phase: Twee Goal Transformation
% 15.81/2.61
% 15.81/2.61 % (17864)Memory used [KB]: 2174
% 15.81/2.61 % (17864)Time elapsed: 0.081 s
% 15.81/2.61 % (17864)Instructions burned: 393 (million)
% 15.81/2.61 % (17864)------------------------------
% 15.81/2.61 % (17864)------------------------------
% 15.81/2.61 % (17861)Instruction limit reached!
% 15.81/2.61 % (17861)------------------------------
% 15.81/2.61 % (17861)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 15.81/2.61 % (17861)Termination reason: Unknown
% 15.81/2.61 % (17861)Termination phase: Saturation
% 15.81/2.61
% 15.81/2.61 % (17861)Memory used [KB]: 7291
% 15.81/2.61 % (17861)Time elapsed: 0.133 s
% 15.81/2.61 % (17861)Instructions burned: 406 (million)
% 15.81/2.61 % (17861)------------------------------
% 15.81/2.61 % (17861)------------------------------
% 15.81/2.61 % (17862)Instruction limit reached!
% 15.81/2.61 % (17862)------------------------------
% 15.81/2.61 % (17862)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 15.81/2.61 % (17862)Termination reason: Unknown
% 15.81/2.61 % (17862)Termination phase: Property scanning
% 15.81/2.61
% 15.81/2.61 % (17862)Memory used [KB]: 2046
% 15.81/2.61 % (17862)Time elapsed: 0.124 s
% 15.81/2.61 % (17862)Instructions burned: 584 (million)
% 15.81/2.61 % (17862)------------------------------
% 15.81/2.61 % (17862)------------------------------
% 15.81/2.61 % (17866)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on theBenchmark for (2976ds/3373Mi)
% 15.81/2.62 % (17867)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on theBenchmark for (2976ds/474Mi)
% 15.81/2.62 % (17868)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on theBenchmark for (2976ds/157Mi)
% 15.81/2.62 % (17869)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on theBenchmark for (2976ds/590Mi)
% 15.81/2.65 % (17868)Instruction limit reached!
% 15.81/2.65 % (17868)------------------------------
% 15.81/2.65 % (17868)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 15.81/2.65 % (17868)Termination reason: Unknown
% 15.81/2.65 % (17868)Termination phase: Function definition elimination
% 15.81/2.65
% 15.81/2.65 % (17868)Memory used [KB]: 1918
% 15.81/2.65 % (17868)Time elapsed: 0.035 s
% 15.81/2.65 % (17868)Instructions burned: 157 (million)
% 15.81/2.65 % (17868)------------------------------
% 15.81/2.65 % (17868)------------------------------
% 15.81/2.66 % (17870)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on theBenchmark for (2976ds/104Mi)
% 16.54/2.67 % (17852)Instruction limit reached!
% 16.54/2.67 % (17852)------------------------------
% 16.54/2.67 % (17852)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 16.54/2.67 % (17852)Termination reason: Unknown
% 16.54/2.67 % (17852)Termination phase: Property scanning
% 16.54/2.67
% 16.54/2.67 % (17852)Memory used [KB]: 2046
% 16.54/2.67 % (17852)Time elapsed: 0.395 s
% 16.54/2.67 % (17852)Instructions burned: 1763 (million)
% 16.54/2.67 % (17852)------------------------------
% 16.54/2.67 % (17852)------------------------------
% 16.54/2.68 % (17871)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on theBenchmark for (2975ds/414Mi)
% 16.57/2.68 % (17870)Instruction limit reached!
% 16.57/2.68 % (17870)------------------------------
% 16.57/2.68 % (17870)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 16.57/2.68 % (17870)Termination reason: Unknown
% 16.57/2.68 % (17870)Termination phase: Function definition elimination
% 16.57/2.68
% 16.57/2.68 % (17870)Memory used [KB]: 1918
% 16.57/2.68 % (17870)Time elapsed: 0.026 s
% 16.57/2.68 % (17870)Instructions burned: 108 (million)
% 16.57/2.68 % (17870)------------------------------
% 16.57/2.68 % (17870)------------------------------
% 16.57/2.69 % (17872)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on theBenchmark for (2975ds/715Mi)
% 16.63/2.71 % (17867)Instruction limit reached!
% 16.63/2.71 % (17867)------------------------------
% 16.63/2.71 % (17867)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 16.63/2.71 % (17867)Termination reason: Unknown
% 16.63/2.71 % (17867)Termination phase: Property scanning
% 16.63/2.71
% 16.63/2.71 % (17867)Memory used [KB]: 2046
% 16.63/2.71 % (17867)Time elapsed: 0.099 s
% 16.63/2.71 % (17867)Instructions burned: 476 (million)
% 16.63/2.71 % (17867)------------------------------
% 16.63/2.71 % (17867)------------------------------
% 16.63/2.72 % (17873)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on theBenchmark for (2975ds/961Mi)
% 16.75/2.75 % (17869)Instruction limit reached!
% 16.75/2.75 % (17869)------------------------------
% 16.75/2.75 % (17869)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 16.75/2.75 % (17869)Termination reason: Unknown
% 16.75/2.75 % (17869)Termination phase: Property scanning
% 16.75/2.75
% 16.75/2.75 % (17869)Memory used [KB]: 1918
% 16.75/2.75 % (17869)Time elapsed: 0.131 s
% 16.75/2.75 % (17869)Instructions burned: 594 (million)
% 16.75/2.75 % (17869)------------------------------
% 16.75/2.75 % (17869)------------------------------
% 16.75/2.76 % (17874)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on theBenchmark for (2975ds/1213Mi)
% 16.75/2.76 % (17871)Instruction limit reached!
% 16.75/2.76 % (17871)------------------------------
% 16.75/2.76 % (17871)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 16.75/2.76 % (17871)Termination reason: Unknown
% 16.75/2.76 % (17871)Termination phase: Property scanning
% 16.75/2.76
% 16.75/2.76 % (17871)Memory used [KB]: 2046
% 16.75/2.76 % (17871)Time elapsed: 0.084 s
% 16.75/2.76 % (17871)Instructions burned: 414 (million)
% 16.75/2.76 % (17871)------------------------------
% 16.75/2.76 % (17871)------------------------------
% 16.75/2.77 % (17875)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on theBenchmark for (2975ds/1979Mi)
% 17.07/2.85 % (17872)Instruction limit reached!
% 17.07/2.85 % (17872)------------------------------
% 17.07/2.85 % (17872)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 17.07/2.85 % (17872)Termination reason: Unknown
% 17.07/2.85 % (17872)Termination phase: Property scanning
% 17.07/2.85
% 17.07/2.85 % (17872)Memory used [KB]: 2046
% 17.07/2.85 % (17872)Time elapsed: 0.154 s
% 17.07/2.85 % (17872)Instructions burned: 715 (million)
% 17.07/2.85 % (17872)------------------------------
% 17.07/2.85 % (17872)------------------------------
% 17.07/2.85 % (17876)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on theBenchmark for (2974ds/481Mi)
% 18.49/2.93 % (17873)Instruction limit reached!
% 18.49/2.93 % (17873)------------------------------
% 18.49/2.93 % (17873)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 18.49/2.93 % (17873)Termination reason: Unknown
% 18.49/2.93 % (17873)Termination phase: Property scanning
% 18.49/2.93
% 18.49/2.93 % (17873)Memory used [KB]: 1918
% 18.49/2.93 % (17873)Time elapsed: 0.212 s
% 18.49/2.93 % (17873)Instructions burned: 962 (million)
% 18.49/2.93 % (17873)------------------------------
% 18.49/2.93 % (17873)------------------------------
% 18.49/2.94 % (17877)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on theBenchmark for (2973ds/783Mi)
% 18.49/2.95 % (17865)First to succeed.
% 18.49/2.95 % (17876)Instruction limit reached!
% 18.49/2.95 % (17876)------------------------------
% 18.49/2.95 % (17876)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 18.49/2.95 % (17876)Termination reason: Unknown
% 18.49/2.95 % (17876)Termination phase: Property scanning
% 18.49/2.95
% 18.49/2.95 % (17876)Memory used [KB]: 2046
% 18.49/2.95 % (17876)Time elapsed: 0.100 s
% 18.49/2.95 % (17876)Instructions burned: 483 (million)
% 18.49/2.95 % (17876)------------------------------
% 18.49/2.95 % (17876)------------------------------
% 18.49/2.96 % (17865)Refutation found. Thanks to Tanya!
% 18.49/2.96 % SZS status Theorem for theBenchmark
% 18.49/2.96 % SZS output start Proof for theBenchmark
% 18.49/2.96 thf(func_def_0, type, is_of: $i > ($i > $o) > $o).
% 18.49/2.96 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o).
% 18.49/2.96 thf(func_def_3, type, eps: ($i > $o) > $i).
% 18.49/2.96 thf(func_def_4, type, in: $i > $i > $o).
% 18.49/2.96 thf(func_def_5, type, d_Subq: $i > $i > $o).
% 18.49/2.96 thf(func_def_7, type, union: $i > $i).
% 18.49/2.96 thf(func_def_8, type, power: $i > $i).
% 18.49/2.96 thf(func_def_9, type, repl: $i > ($i > $i) > $i).
% 18.49/2.96 thf(func_def_10, type, d_Union_closed: $i > $o).
% 18.49/2.96 thf(func_def_11, type, d_Power_closed: $i > $o).
% 18.49/2.96 thf(func_def_12, type, d_Repl_closed: $i > $o).
% 18.49/2.96 thf(func_def_13, type, d_ZF_closed: $i > $o).
% 18.49/2.96 thf(func_def_14, type, univof: $i > $i).
% 18.49/2.96 thf(func_def_15, type, if: $o > $i > $i > $i).
% 18.49/2.96 thf(func_def_16, type, nIn: $i > $i > $o).
% 18.49/2.96 thf(func_def_17, type, d_UPair: $i > $i > $i).
% 18.49/2.96 thf(func_def_18, type, d_Sing: $i > $i).
% 18.49/2.96 thf(func_def_19, type, binunion: $i > $i > $i).
% 18.49/2.96 thf(func_def_20, type, famunion: $i > ($i > $i) > $i).
% 18.49/2.96 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i).
% 18.49/2.96 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
% 18.49/2.96 thf(func_def_23, type, setminus: $i > $i > $i).
% 18.49/2.96 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o).
% 18.49/2.96 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i).
% 18.49/2.96 thf(func_def_26, type, ordsucc: $i > $i).
% 18.49/2.96 thf(func_def_27, type, nat_p: $i > $o).
% 18.49/2.96 thf(func_def_29, type, d_Inj1: $i > $i).
% 18.49/2.96 thf(func_def_30, type, d_Inj0: $i > $i).
% 18.49/2.96 thf(func_def_31, type, d_Unj: $i > $i).
% 18.49/2.96 thf(func_def_32, type, pair: $i > $i > $i).
% 18.49/2.96 thf(func_def_33, type, proj0: $i > $i).
% 18.49/2.96 thf(func_def_34, type, proj1: $i > $i).
% 18.49/2.96 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i).
% 18.49/2.96 thf(func_def_36, type, setprod: $i > $i > $i).
% 18.49/2.96 thf(func_def_37, type, ap: $i > $i > $i).
% 18.49/2.96 thf(func_def_38, type, pair_p: $i > $o).
% 18.49/2.96 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i).
% 18.49/2.96 thf(func_def_40, type, imp: $o > $o > $o).
% 18.49/2.96 thf(func_def_41, type, d_not: $o > $o).
% 18.49/2.96 thf(func_def_42, type, wel: $o > $o).
% 18.49/2.96 thf(func_def_44, type, l_ec: $o > $o > $o).
% 18.49/2.96 thf(func_def_45, type, d_and: $o > $o > $o).
% 18.49/2.96 thf(func_def_46, type, l_or: $o > $o > $o).
% 18.49/2.96 thf(func_def_47, type, orec: $o > $o > $o).
% 18.49/2.96 thf(func_def_48, type, l_iff: $o > $o > $o).
% 18.49/2.96 thf(func_def_49, type, all: $i > ($i > $o) > $o).
% 18.49/2.96 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o).
% 18.49/2.96 thf(func_def_51, type, l_some: $i > ($i > $o) > $o).
% 18.49/2.96 thf(func_def_52, type, or3: $o > $o > $o > $o).
% 18.49/2.96 thf(func_def_53, type, and3: $o > $o > $o > $o).
% 18.49/2.96 thf(func_def_54, type, ec3: $o > $o > $o > $o).
% 18.49/2.96 thf(func_def_55, type, orec3: $o > $o > $o > $o).
% 18.49/2.96 thf(func_def_56, type, e_is: $i > $i > $i > $o).
% 18.49/2.96 thf(func_def_57, type, amone: $i > ($i > $o) > $o).
% 18.49/2.96 thf(func_def_58, type, one: $i > ($i > $o) > $o).
% 18.49/2.96 thf(func_def_59, type, ind: $i > ($i > $o) > $i).
% 18.49/2.96 thf(func_def_60, type, injective: $i > $i > $i > $o).
% 18.49/2.96 thf(func_def_61, type, image: $i > $i > $i > $i > $o).
% 18.49/2.96 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i).
% 18.49/2.96 thf(func_def_63, type, soft: $i > $i > $i > $i > $i).
% 18.49/2.96 thf(func_def_64, type, inverse: $i > $i > $i > $i).
% 18.49/2.96 thf(func_def_65, type, surjective: $i > $i > $i > $o).
% 18.49/2.96 thf(func_def_66, type, bijective: $i > $i > $i > $o).
% 18.49/2.96 thf(func_def_67, type, invf: $i > $i > $i > $i).
% 18.49/2.96 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i).
% 18.49/2.96 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i).
% 18.49/2.96 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i).
% 18.49/2.96 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i).
% 18.49/2.96 thf(func_def_72, type, first: $i > $i > $i > $i).
% 18.49/2.96 thf(func_def_73, type, second: $i > $i > $i > $i).
% 18.49/2.96 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o).
% 18.49/2.96 thf(func_def_75, type, ite: $o > $i > $i > $i > $i).
% 18.49/2.96 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i).
% 18.49/2.96 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i).
% 18.49/2.96 thf(func_def_78, type, wissel: $i > $i > $i > $i).
% 18.49/2.96 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i).
% 18.49/2.96 thf(func_def_80, type, r_ec: $o > $o > $o).
% 18.49/2.96 thf(func_def_81, type, esti: $i > $i > $i > $o).
% 18.49/2.96 thf(func_def_82, type, empty: $i > $i > $o).
% 18.49/2.96 thf(func_def_83, type, nonempty: $i > $i > $o).
% 18.49/2.96 thf(func_def_84, type, incl: $i > $i > $i > $o).
% 18.49/2.96 thf(func_def_85, type, st_disj: $i > $i > $i > $o).
% 18.49/2.96 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o).
% 18.49/2.96 thf(func_def_87, type, unmore: $i > $i > $i > $i).
% 18.49/2.96 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i).
% 18.49/2.96 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o).
% 18.49/2.96 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o).
% 18.49/2.96 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i).
% 18.49/2.96 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i).
% 18.49/2.96 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i).
% 18.49/2.96 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i).
% 18.49/2.96 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o).
% 18.49/2.96 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o).
% 18.49/2.96 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o).
% 18.49/2.96 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 18.49/2.96 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o).
% 18.49/2.96 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 18.49/2.96 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i).
% 18.49/2.96 thf(func_def_103, type, n_is: $i > $i > $o).
% 18.49/2.96 thf(func_def_104, type, nis: $i > $i > $o).
% 18.49/2.96 thf(func_def_105, type, n_in: $i > $i > $o).
% 18.49/2.96 thf(func_def_106, type, n_some: ($i > $o) > $o).
% 18.49/2.96 thf(func_def_107, type, n_all: ($i > $o) > $o).
% 18.49/2.96 thf(func_def_108, type, n_one: ($i > $o) > $o).
% 18.49/2.96 thf(func_def_110, type, cond1: $i > $o).
% 18.49/2.96 thf(func_def_111, type, cond2: $i > $o).
% 18.49/2.96 thf(func_def_112, type, i1_s: ($i > $o) > $i).
% 18.49/2.96 thf(func_def_113, type, d_22_prop1: $i > $o).
% 18.49/2.96 thf(func_def_114, type, d_23_prop1: $i > $o).
% 18.49/2.96 thf(func_def_115, type, d_24_prop1: $i > $o).
% 18.49/2.96 thf(func_def_116, type, d_24_prop2: $i > $i > $o).
% 18.49/2.96 thf(func_def_117, type, prop3: $i > $i > $i > $o).
% 18.49/2.96 thf(func_def_118, type, prop4: $i > $o).
% 18.49/2.96 thf(func_def_119, type, d_24_g: $i > $i).
% 18.49/2.96 thf(func_def_120, type, plus: $i > $i).
% 18.49/2.96 thf(func_def_121, type, n_pl: $i > $i > $i).
% 18.49/2.96 thf(func_def_122, type, d_25_prop1: $i > $i > $i > $o).
% 18.49/2.96 thf(func_def_123, type, d_26_prop1: $i > $i > $o).
% 18.49/2.96 thf(func_def_124, type, d_27_prop1: $i > $i > $o).
% 18.49/2.96 thf(func_def_125, type, d_28_prop1: $i > $i > $i > $o).
% 18.49/2.96 thf(func_def_126, type, diffprop: $i > $i > $i > $o).
% 18.49/2.96 thf(func_def_127, type, d_29_ii: $i > $i > $o).
% 18.49/2.96 thf(func_def_128, type, iii: $i > $i > $o).
% 18.49/2.96 thf(func_def_129, type, d_29_prop1: $i > $i > $o).
% 18.49/2.96 thf(func_def_130, type, moreis: $i > $i > $o).
% 18.49/2.96 thf(func_def_131, type, lessis: $i > $i > $o).
% 18.49/2.96 thf(func_def_152, type, sK1: ($i > $o) > $i).
% 18.49/2.96 thf(func_def_156, type, sK5: ($i > $i) > $i > ($i > $i) > $i).
% 18.49/2.96 thf(func_def_157, type, ph6: !>[X0: $tType]:(X0)).
% 18.49/2.96 thf(f6323,plain,(
% 18.49/2.96 $false),
% 18.49/2.96 inference(avatar_sat_refutation,[],[f1010,f1260,f1353,f1411,f1428,f1448,f1451,f1455,f1614,f2090,f2093,f3224,f3271,f3285,f3326,f3405,f6120,f6136,f6281])).
% 18.49/2.96 thf(f6281,plain,(
% 18.49/2.96 spl0_3 | ~spl0_7 | spl0_30),
% 18.49/2.96 inference(avatar_contradiction_clause,[],[f6280])).
% 18.49/2.96 thf(f6280,plain,(
% 18.49/2.96 $false | (spl0_3 | ~spl0_7 | spl0_30)),
% 18.49/2.96 inference(subsumption_resolution,[],[f6279,f1232])).
% 18.49/2.96 thf(f1232,plain,(
% 18.49/2.96 ($false != (d_not @ $true)) | spl0_3),
% 18.49/2.96 inference(avatar_component_clause,[],[f1231])).
% 18.49/2.96 thf(f1231,plain,(
% 18.49/2.96 spl0_3 <=> ($false = (d_not @ $true))),
% 18.49/2.96 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 18.49/2.96 thf(f6279,plain,(
% 18.49/2.96 ($false = (d_not @ $true)) | (~spl0_7 | spl0_30)),
% 18.49/2.96 inference(boolean_simplification,[],[f6278])).
% 18.49/2.96 thf(f6278,plain,(
% 18.49/2.96 ($false = (d_not @ (sK2 = sK2))) | (~spl0_7 | spl0_30)),
% 18.49/2.96 inference(forward_demodulation,[],[f6277,f1255])).
% 18.49/2.96 thf(f1255,plain,(
% 18.49/2.96 (sK4 = sK2) | ~spl0_7),
% 18.49/2.96 inference(avatar_component_clause,[],[f1253])).
% 18.49/2.96 thf(f1253,plain,(
% 18.49/2.96 spl0_7 <=> (sK4 = sK2)),
% 18.49/2.96 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])).
% 18.49/2.96 thf(f6277,plain,(
% 18.49/2.96 ($false = (d_not @ (sK4 = sK2))) | (~spl0_7 | spl0_30)),
% 18.49/2.96 inference(subsumption_resolution,[],[f6276,f2074])).
% 18.49/2.96 thf(f2074,plain,(
% 18.49/2.96 ($false != (in @ sK2 @ nat)) | spl0_30),
% 18.49/2.96 inference(avatar_component_clause,[],[f2073])).
% 18.49/2.96 thf(f2073,plain,(
% 18.49/2.96 spl0_30 <=> ($false = (in @ sK2 @ nat))),
% 18.49/2.96 introduced(avatar_definition,[new_symbols(naming,[spl0_30])])).
% 18.49/2.96 thf(f6276,plain,(
% 18.49/2.96 ($false = (d_not @ (sK4 = sK2))) | ($false = (in @ sK2 @ nat)) | (~spl0_7 | spl0_30)),
% 18.49/2.96 inference(forward_demodulation,[],[f6275,f1255])).
% 18.49/2.96 thf(f6275,plain,(
% 18.49/2.96 ($false = (in @ sK4 @ nat)) | ($false = (d_not @ (sK4 = sK2))) | (~spl0_7 | spl0_30)),
% 18.49/2.96 inference(subsumption_resolution,[],[f6274,f2074])).
% 18.49/2.96 thf(f6274,plain,(
% 18.49/2.96 ($false = (in @ sK2 @ nat)) | ($false = (in @ sK4 @ nat)) | ($false = (d_not @ (sK4 = sK2))) | ~spl0_7),
% 18.49/2.96 inference(subsumption_resolution,[],[f4451,f1255])).
% 18.49/2.96 thf(f4451,plain,(
% 18.49/2.96 ($false = (in @ sK4 @ nat)) | (sK4 != sK2) | ($false = (d_not @ (sK4 = sK2))) | ($false = (in @ sK2 @ nat))),
% 18.49/2.96 inference(trivial_inequality_removal,[],[f4419])).
% 18.49/2.96 thf(f4419,plain,(
% 18.49/2.96 (sK4 != sK2) | ($false = (in @ sK4 @ nat)) | ($false = (d_not @ (sK4 = sK2))) | ($false = $true) | ($false = (in @ sK2 @ nat))),
% 18.49/2.96 inference(superposition,[],[f998,f1493])).
% 18.49/2.96 thf(f1493,plain,(
% 18.49/2.96 ( ! [X0 : $i,X1 : $i] : (($true = (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0))))) | ((in @ X0 @ nat) = $false) | ((in @ X1 @ nat) = $false) | ($false = (d_not @ (X0 = X1))) | (X0 != X1)) )),
% 18.49/2.96 inference(boolean_simplification,[],[f1492])).
% 18.49/2.96 thf(f1492,plain,(
% 18.49/2.96 ( ! [X0 : $i,X1 : $i] : ((X0 != X1) | ($false = (d_not @ ($true => (X0 = X1)))) | ((in @ X1 @ nat) = $false) | ((in @ X0 @ nat) = $false) | ($true = (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0)))))) )),
% 18.49/2.96 inference(duplicate_literal_removal,[],[f1482])).
% 18.49/2.96 thf(f1482,plain,(
% 18.49/2.96 ( ! [X0 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | (X0 != X1) | ((in @ X1 @ nat) = $false) | ((in @ X0 @ nat) = $false) | ((in @ X0 @ nat) = $false) | ($true = (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0))))) | ($false = (d_not @ ($true => (X0 = X1))))) )),
% 18.49/2.96 inference(superposition,[],[f823,f902])).
% 18.49/2.96 thf(f902,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (($true = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0)))))) | ((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false) | (X1 != X2)) )),
% 18.49/2.96 inference(equality_proxy_clausification,[],[f900])).
% 18.49/2.96 thf(f900,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0)))))) | ($false = (X1 = X2)) | ((in @ X2 @ nat) = $false)) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f899])).
% 18.49/2.96 thf(f899,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (($false = ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0))))) => (X1 = X2))) | ((in @ X2 @ nat) = $false) | ($true = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0)))))) | ((in @ X1 @ nat) = $false)) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f898])).
% 18.49/2.96 thf(f898,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | ($true = (((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0))))) => (X1 = X2)) => (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0))))))) | ((in @ X1 @ nat) = $false)) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f897])).
% 18.49/2.96 thf(f897,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (($true = ((in @ X2 @ nat) => (((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0))))) => (X1 = X2)) => (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0)))))))) | ((in @ X1 @ nat) = $false)) )),
% 18.49/2.96 inference(beta_eta_normalization,[],[f896])).
% 18.49/2.96 thf(f896,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => (((d_not @ (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1))))) => (X1 = Y0)) => (d_not @ (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1)))))))) @ X2) = $true) | ((in @ X1 @ nat) = $false)) )),
% 18.49/2.96 inference(pi_clausification,[],[f895])).
% 18.49/2.96 thf(f895,plain,(
% 18.49/2.96 ( ! [X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (((d_not @ (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1))))) => (X1 = Y0)) => (d_not @ (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1))))))))))) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f894])).
% 18.49/2.96 thf(f894,plain,(
% 18.49/2.96 ( ! [X1 : $i] : ((((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (((d_not @ (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1))))) => (X1 = Y0)) => (d_not @ (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1)))))))))) = $true)) )),
% 18.49/2.96 inference(beta_eta_normalization,[],[f893])).
% 18.49/2.96 thf(f893,plain,(
% 18.49/2.96 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2))))) => (Y0 = Y1)) => (d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ Y0 @ Y2))))))))))) @ X1) = $true)) )),
% 18.49/2.96 inference(pi_clausification,[],[f764])).
% 18.49/2.96 thf(f764,plain,(
% 18.49/2.96 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2))))) => (Y0 = Y1)) => (d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ Y0 @ Y2)))))))))))))),
% 18.49/2.96 inference(beta_eta_normalization,[],[f719])).
% 18.49/2.96 thf(f719,plain,(
% 18.49/2.96 (((^[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 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ (d_not @ Y4))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (l_some @ nat @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ nat @ Y6 @ (n_pl @ Y7 @ Y8))))))) @ Y4 @ Y5))))) @ Y2 @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ nat @ Y2 @ Y3))))) @ Y0 @ Y1) => (d_not @ ((^[Y2 : $i]: ((^[Y3 : $i]: (l_some @ nat @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ nat @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y3 @ Y2))))) @ Y0 @ Y1))))))) = $true)),
% 18.49/2.96 inference(definition_unfolding,[],[f654,f671,f671,f673,f670])).
% 18.49/2.96 thf(f670,plain,(
% 18.49/2.96 (iii = (^[Y0 : $i]: ((^[Y1 : $i]: (l_some @ nat @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ nat @ Y2 @ (n_pl @ Y3 @ Y4))))))) @ Y1 @ Y0))))))),
% 18.49/2.96 inference(definition_unfolding,[],[f657,f601,f668])).
% 18.49/2.96 thf(f668,plain,(
% 18.49/2.96 (diffprop = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4 = Y5)))))) @ nat @ Y0 @ (n_pl @ Y1 @ Y2))))))))),
% 18.49/2.96 inference(definition_unfolding,[],[f593,f667])).
% 18.49/2.96 thf(f667,plain,(
% 18.49/2.96 (n_is = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))) @ nat))),
% 18.49/2.96 inference(definition_unfolding,[],[f655,f618])).
% 18.49/2.96 thf(f618,plain,(
% 18.49/2.96 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
% 18.49/2.96 inference(cnf_transformation,[],[f261])).
% 18.49/2.96 thf(f261,plain,(
% 18.49/2.96 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
% 18.49/2.96 inference(fool_elimination,[],[f260])).
% 18.49/2.96 thf(f260,plain,(
% 18.49/2.96 ((^[X0 : $i, X1 : $i, X2 : $i] : ((X1 = X2))) = e_is)),
% 18.49/2.96 inference(rectify,[],[f91])).
% 18.49/2.96 thf(f91,axiom,(
% 18.49/2.96 ((^[X0 : $i, X7 : $i, X8 : $i] : ((X7 = X8))) = e_is)),
% 18.49/2.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_e_is)).
% 18.49/2.96 thf(f655,plain,(
% 18.49/2.96 (n_is = (e_is @ nat))),
% 18.49/2.96 inference(cnf_transformation,[],[f330])).
% 18.49/2.96 thf(f330,plain,(
% 18.49/2.96 (n_is = (e_is @ nat))),
% 18.49/2.96 inference(fool_elimination,[],[f157])).
% 18.49/2.96 thf(f157,axiom,(
% 18.49/2.96 (n_is = (e_is @ nat))),
% 18.49/2.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_n_is)).
% 18.49/2.96 thf(f593,plain,(
% 18.49/2.96 (diffprop = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2))))))))),
% 18.49/2.96 inference(cnf_transformation,[],[f496])).
% 18.49/2.96 thf(f496,plain,(
% 18.49/2.96 (diffprop = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2))))))))),
% 18.49/2.96 inference(fool_elimination,[],[f203])).
% 18.49/2.96 thf(f203,axiom,(
% 18.49/2.96 ((^[X0 : $i, X1 : $i, X2 : $i] : (n_is @ X0 @ (n_pl @ X1 @ X2))) = diffprop)),
% 18.49/2.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_diffprop)).
% 18.49/2.96 thf(f601,plain,(
% 18.49/2.96 (n_some = (l_some @ nat))),
% 18.49/2.96 inference(cnf_transformation,[],[f297])).
% 18.49/2.96 thf(f297,plain,(
% 18.49/2.96 (n_some = (l_some @ nat))),
% 18.49/2.96 inference(fool_elimination,[],[f160])).
% 18.49/2.96 thf(f160,axiom,(
% 18.49/2.96 (n_some = (l_some @ nat))),
% 18.49/2.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_n_some)).
% 18.49/2.96 thf(f657,plain,(
% 18.49/2.96 (iii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y1 @ Y0))))))),
% 18.49/2.96 inference(cnf_transformation,[],[f325])).
% 18.49/2.96 thf(f325,plain,(
% 18.49/2.96 (iii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y1 @ Y0))))))),
% 18.49/2.96 inference(fool_elimination,[],[f206])).
% 18.49/2.96 thf(f206,axiom,(
% 18.49/2.96 (iii = (^[X0 : $i, X1 : $i] : (n_some @ (diffprop @ X1 @ X0))))),
% 18.49/2.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_iii)).
% 18.49/2.96 thf(f673,plain,(
% 18.49/2.96 (moreis = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ (d_not @ Y2))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (l_some @ nat @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ nat @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y2 @ Y3))))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3 = Y4)))))) @ nat @ Y0 @ Y1))))))),
% 18.49/2.96 inference(definition_unfolding,[],[f652,f672,f669,f667])).
% 18.49/2.96 thf(f669,plain,(
% 18.49/2.96 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (l_some @ nat @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ nat @ Y2 @ (n_pl @ Y3 @ Y4))))))) @ Y0 @ Y1))))))),
% 18.49/2.96 inference(definition_unfolding,[],[f631,f601,f668])).
% 18.49/2.96 thf(f631,plain,(
% 18.49/2.96 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y0 @ Y1))))))),
% 18.49/2.96 inference(cnf_transformation,[],[f418])).
% 18.49/2.96 thf(f418,plain,(
% 18.49/2.96 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y0 @ Y1))))))),
% 18.49/2.96 inference(fool_elimination,[],[f205])).
% 18.49/2.96 thf(f205,axiom,(
% 18.49/2.96 ((^[X0 : $i, X1 : $i] : (n_some @ (diffprop @ X0 @ X1))) = d_29_ii)),
% 18.49/2.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_d_29_ii)).
% 18.49/2.96 thf(f672,plain,(
% 18.49/2.96 (l_or = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: (Y1 => Y2)))) @ (d_not @ Y0))))),
% 18.49/2.96 inference(definition_unfolding,[],[f666,f649])).
% 18.49/2.96 thf(f649,plain,(
% 18.49/2.96 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))),
% 18.49/2.96 inference(cnf_transformation,[],[f507])).
% 18.49/2.96 thf(f507,plain,(
% 18.49/2.96 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))),
% 18.49/2.96 inference(fool_elimination,[],[f506])).
% 18.49/2.96 thf(f506,plain,(
% 18.49/2.96 (imp = (^[X0 : $o, X1 : $o] : (X0 => X1)))),
% 18.49/2.96 inference(rectify,[],[f74])).
% 18.49/2.96 thf(f74,axiom,(
% 18.49/2.96 (imp = (^[X0 : $o, X1 : $o] : (X0 => X1)))),
% 18.49/2.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_imp)).
% 18.49/2.96 thf(f666,plain,(
% 18.49/2.96 (l_or = (^[Y0 : $o]: (imp @ (d_not @ Y0))))),
% 18.49/2.96 inference(cnf_transformation,[],[f432])).
% 18.49/2.96 thf(f432,plain,(
% 18.49/2.96 (l_or = (^[Y0 : $o]: (imp @ (d_not @ Y0))))),
% 18.49/2.96 inference(fool_elimination,[],[f81])).
% 18.49/2.96 thf(f81,axiom,(
% 18.49/2.96 ((^[X0 : $o] : (imp @ (d_not @ X0))) = l_or)),
% 18.49/2.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_l_or)).
% 18.49/2.96 thf(f652,plain,(
% 18.49/2.96 (moreis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (d_29_ii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 18.49/2.96 inference(cnf_transformation,[],[f306])).
% 18.49/2.96 thf(f306,plain,(
% 18.49/2.96 (moreis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (d_29_ii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 18.49/2.96 inference(fool_elimination,[],[f216])).
% 18.49/2.96 thf(f216,axiom,(
% 18.49/2.96 ((^[X0 : $i, X1 : $i] : (l_or @ (d_29_ii @ X0 @ X1) @ (n_is @ X0 @ X1))) = moreis)),
% 18.49/2.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_moreis)).
% 18.49/2.96 thf(f671,plain,(
% 18.49/2.96 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 18.49/2.96 inference(definition_unfolding,[],[f625,f660])).
% 18.49/2.96 thf(f660,plain,(
% 18.49/2.96 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 18.49/2.96 inference(cnf_transformation,[],[f586])).
% 18.49/2.96 thf(f586,plain,(
% 18.49/2.96 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 18.49/2.96 inference(fool_elimination,[],[f1])).
% 18.49/2.96 thf(f1,axiom,(
% 18.49/2.96 ((^[X0 : $i, X1 : $i > $o] : (X1 @ X0)) = is_of)),
% 18.49/2.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_is_of)).
% 18.49/2.96 thf(f625,plain,(
% 18.49/2.96 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 18.49/2.96 inference(cnf_transformation,[],[f431])).
% 18.49/2.96 thf(f431,plain,(
% 18.49/2.96 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 18.49/2.96 inference(fool_elimination,[],[f430])).
% 18.49/2.96 thf(f430,plain,(
% 18.49/2.96 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))),
% 18.49/2.96 inference(rectify,[],[f2])).
% 18.49/2.96 thf(f2,axiom,(
% 18.49/2.96 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))),
% 18.49/2.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_all_of)).
% 18.49/2.96 thf(f654,plain,(
% 18.49/2.96 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((moreis @ Y0 @ Y1) => (d_not @ (iii @ Y0 @ Y1))))))))),
% 18.49/2.96 inference(cnf_transformation,[],[f490])).
% 18.49/2.96 thf(f490,plain,(
% 18.49/2.96 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((moreis @ Y0 @ Y1) => (d_not @ (iii @ Y0 @ Y1))))))))),
% 18.49/2.96 inference(fool_elimination,[],[f489])).
% 18.49/2.96 thf(f489,plain,(
% 18.49/2.96 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((moreis @ X1 @ X3) => (d_not @ (iii @ X1 @ X3)))))))),
% 18.49/2.96 inference(rectify,[],[f220])).
% 18.49/2.96 thf(f220,axiom,(
% 18.49/2.96 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((moreis @ X0 @ X1) => (d_not @ (iii @ X0 @ X1)))))))),
% 18.49/2.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10c)).
% 18.49/2.96 thf(f823,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (($false = (d_not @ ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0))))) => (X1 = X2)))) | ($true = (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0))))) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false)) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f822])).
% 18.49/2.96 thf(f822,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false) | (((d_not @ ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0))))) => (X1 = X2))) => (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0))))) = $true)) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f821])).
% 18.49/2.96 thf(f821,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = ((in @ X2 @ nat) => ((d_not @ ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0))))) => (X1 = X2))) => (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0)))))))) )),
% 18.49/2.96 inference(beta_eta_normalization,[],[f820])).
% 18.49/2.96 thf(f820,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_not @ ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1))))) => (X1 = Y0))) => (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1))))))) @ X2))) )),
% 18.49/2.96 inference(pi_clausification,[],[f819])).
% 18.49/2.96 thf(f819,plain,(
% 18.49/2.96 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_not @ ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1))))) => (X1 = Y0))) => (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1))))))))) | ((in @ X1 @ nat) = $false)) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f818])).
% 18.49/2.96 thf(f818,plain,(
% 18.49/2.96 ( ! [X1 : $i] : (($true = ((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_not @ ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1))))) => (X1 = Y0))) => (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1))))))))))) )),
% 18.49/2.96 inference(beta_eta_normalization,[],[f817])).
% 18.49/2.96 thf(f817,plain,(
% 18.49/2.96 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_not @ ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2))))) => (Y0 = Y1))) => (l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ Y0 @ Y2)))))))))) @ X1))) )),
% 18.49/2.96 inference(pi_clausification,[],[f776])).
% 18.49/2.96 thf(f776,plain,(
% 18.49/2.96 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_not @ ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2))))) => (Y0 = Y1))) => (l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ Y0 @ Y2))))))))))))),
% 18.49/2.96 inference(beta_eta_normalization,[],[f680])).
% 18.49/2.96 thf(f680,plain,(
% 18.49/2.96 ($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]: ((d_not @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ (d_not @ Y4))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (l_some @ nat @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ nat @ Y6 @ (n_pl @ Y7 @ Y8))))))) @ Y4 @ Y5))))) @ Y2 @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ nat @ Y2 @ Y3))))) @ Y0 @ Y1)) => ((^[Y2 : $i]: ((^[Y3 : $i]: (l_some @ nat @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ nat @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y3 @ Y2))))) @ Y0 @ Y1)))))))),
% 18.49/2.96 inference(definition_unfolding,[],[f596,f671,f671,f673,f670])).
% 18.49/2.96 thf(f596,plain,(
% 18.49/2.96 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (moreis @ Y0 @ Y1)) => (iii @ Y0 @ Y1)))))) = $true)),
% 18.49/2.96 inference(cnf_transformation,[],[f271])).
% 18.49/2.96 thf(f271,plain,(
% 18.49/2.96 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (moreis @ Y0 @ Y1)) => (iii @ Y0 @ Y1)))))) = $true)),
% 18.49/2.96 inference(fool_elimination,[],[f270])).
% 18.49/2.96 thf(f270,plain,(
% 18.49/2.96 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((d_not @ (moreis @ X1 @ X3)) => (iii @ X1 @ X3))))))),
% 18.49/2.96 inference(rectify,[],[f226])).
% 18.49/2.96 thf(f226,axiom,(
% 18.49/2.96 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((d_not @ (moreis @ X0 @ X1)) => (iii @ X0 @ X1))))))),
% 18.49/2.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10j)).
% 18.49/2.96 thf(f998,plain,(
% 18.49/2.96 ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0)))))),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f996])).
% 18.49/2.96 thf(f996,plain,(
% 18.49/2.96 ($false = (((d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK4 @ Y0))))) => (sK3 = sK4)) => (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0))))))),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f994])).
% 18.49/2.96 thf(f994,plain,(
% 18.49/2.96 ($false = ((l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0)))) => (((d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK4 @ Y0))))) => (sK3 = sK4)) => (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0)))))))),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f993])).
% 18.49/2.96 thf(f993,plain,(
% 18.49/2.96 ($false = ((in @ sK4 @ nat) => ((l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0)))) => (((d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK4 @ Y0))))) => (sK3 = sK4)) => (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0))))))))),
% 18.49/2.96 inference(beta_eta_normalization,[],[f992])).
% 18.49/2.96 thf(f992,plain,(
% 18.49/2.96 ($false = ((^[Y0 : $i]: ((in @ Y0 @ nat) => ((l_some @ nat @ (^[Y1 : $i]: (sK2 = (n_pl @ sK3 @ Y1)))) => (((d_not @ (l_some @ nat @ (^[Y1 : $i]: (sK3 = (n_pl @ Y0 @ Y1))))) => (sK3 = Y0)) => (l_some @ nat @ (^[Y1 : $i]: (sK2 = (n_pl @ Y0 @ Y1)))))))) @ sK4))),
% 18.49/2.96 inference(sigma_clausification,[],[f990])).
% 18.49/2.96 thf(f990,plain,(
% 18.49/2.96 ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((l_some @ nat @ (^[Y1 : $i]: (sK2 = (n_pl @ sK3 @ Y1)))) => (((d_not @ (l_some @ nat @ (^[Y1 : $i]: (sK3 = (n_pl @ Y0 @ Y1))))) => (sK3 = Y0)) => (l_some @ nat @ (^[Y1 : $i]: (sK2 = (n_pl @ Y0 @ Y1))))))))))),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f989])).
% 18.49/2.96 thf(f989,plain,(
% 18.49/2.96 ($false = ((in @ sK3 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((l_some @ nat @ (^[Y1 : $i]: (sK2 = (n_pl @ sK3 @ Y1)))) => (((d_not @ (l_some @ nat @ (^[Y1 : $i]: (sK3 = (n_pl @ Y0 @ Y1))))) => (sK3 = Y0)) => (l_some @ nat @ (^[Y1 : $i]: (sK2 = (n_pl @ Y0 @ Y1)))))))))))),
% 18.49/2.96 inference(beta_eta_normalization,[],[f988])).
% 18.49/2.96 thf(f988,plain,(
% 18.49/2.96 ($false = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((l_some @ nat @ (^[Y2 : $i]: (sK2 = (n_pl @ Y0 @ Y2)))) => (((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2))))) => (Y0 = Y1)) => (l_some @ nat @ (^[Y2 : $i]: (sK2 = (n_pl @ Y1 @ Y2))))))))))) @ sK3))),
% 18.49/2.96 inference(sigma_clausification,[],[f986])).
% 18.49/2.96 thf(f986,plain,(
% 18.49/2.96 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((l_some @ nat @ (^[Y2 : $i]: (sK2 = (n_pl @ Y0 @ Y2)))) => (((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2))))) => (Y0 = Y1)) => (l_some @ nat @ (^[Y2 : $i]: (sK2 = (n_pl @ Y1 @ Y2)))))))))))) = $false)),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f985])).
% 18.49/2.96 thf(f985,plain,(
% 18.49/2.96 ($false = ((in @ sK2 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((l_some @ nat @ (^[Y2 : $i]: (sK2 = (n_pl @ Y0 @ Y2)))) => (((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2))))) => (Y0 = Y1)) => (l_some @ nat @ (^[Y2 : $i]: (sK2 = (n_pl @ Y1 @ Y2))))))))))))))),
% 18.49/2.96 inference(beta_eta_normalization,[],[f984])).
% 18.49/2.96 thf(f984,plain,(
% 18.49/2.96 ($false = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((l_some @ nat @ (^[Y3 : $i]: (Y0 = (n_pl @ Y1 @ Y3)))) => (((d_not @ (l_some @ nat @ (^[Y3 : $i]: (Y1 = (n_pl @ Y2 @ Y3))))) => (Y1 = Y2)) => (l_some @ nat @ (^[Y3 : $i]: (Y0 = (n_pl @ Y2 @ Y3)))))))))))))) @ sK2))),
% 18.49/2.96 inference(sigma_clausification,[],[f753])).
% 18.49/2.96 thf(f753,plain,(
% 18.49/2.96 ($true != (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((l_some @ nat @ (^[Y3 : $i]: (Y0 = (n_pl @ Y1 @ Y3)))) => (((d_not @ (l_some @ nat @ (^[Y3 : $i]: (Y1 = (n_pl @ Y2 @ Y3))))) => (Y1 = Y2)) => (l_some @ nat @ (^[Y3 : $i]: (Y0 = (n_pl @ Y2 @ Y3))))))))))))))))),
% 18.49/2.96 inference(beta_eta_normalization,[],[f710])).
% 18.49/2.96 thf(f710,plain,(
% 18.49/2.96 ($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]: (l_some @ nat @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9 = Y10)))))) @ nat @ Y5 @ (n_pl @ Y6 @ Y7))))))) @ Y3 @ Y4))))) @ Y0 @ Y1) => (((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: (Y6 => Y7)))) @ (d_not @ Y5))) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (l_some @ nat @ ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: (Y11 = Y12)))))) @ nat @ Y7 @ (n_pl @ Y8 @ Y9))))))) @ Y5 @ Y6))))) @ Y3 @ Y4) @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ nat @ Y3 @ Y4))))) @ Y1 @ Y2) => ((^[Y3 : $i]: ((^[Y4 : $i]: (l_some @ nat @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9 = Y10)))))) @ nat @ Y5 @ (n_pl @ Y6 @ Y7))))))) @ Y3 @ Y4))))) @ Y0 @ Y2))))))))))),
% 18.49/2.96 inference(definition_unfolding,[],[f642,f671,f671,f671,f669,f673,f669])).
% 18.49/2.96 thf(f642,plain,(
% 18.49/2.96 ((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 @ Y0 @ Y1) => ((moreis @ Y1 @ Y2) => (d_29_ii @ Y0 @ Y2))))))))) != $true)),
% 18.49/2.96 inference(cnf_transformation,[],[f592])).
% 18.49/2.96 thf(f592,plain,(
% 18.49/2.96 ((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 @ Y0 @ Y1) => ((moreis @ Y1 @ Y2) => (d_29_ii @ Y0 @ Y2))))))))) != $true)),
% 18.49/2.96 inference(flattening,[],[f315])).
% 18.49/2.96 thf(f315,plain,(
% 18.49/2.96 ~((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 @ Y0 @ Y1) => ((moreis @ Y1 @ Y2) => (d_29_ii @ Y0 @ Y2))))))))) = $true)),
% 18.49/2.96 inference(fool_elimination,[],[f314])).
% 18.49/2.96 thf(f314,plain,(
% 18.49/2.96 ~(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 @ X1 @ X3) => ((moreis @ X3 @ X5) => (d_29_ii @ X1 @ X5)))))))))),
% 18.49/2.96 inference(rectify,[],[f233])).
% 18.49/2.96 thf(f233,negated_conjecture,(
% 18.49/2.96 ~(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 @ X0 @ X1) => ((moreis @ X1 @ X2) => (d_29_ii @ X0 @ X2)))))))))),
% 18.49/2.96 inference(negated_conjecture,[],[f232])).
% 18.49/2.96 thf(f232,conjecture,(
% 18.49/2.96 (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 : $i] : ((d_29_ii @ X0 @ X1) => ((moreis @ X1 @ X2) => (d_29_ii @ X0 @ X2)))))))))),
% 18.49/2.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz16d)).
% 18.49/2.96 thf(f6136,plain,(
% 18.49/2.96 spl0_7 | spl0_6 | spl0_14 | spl0_21 | spl0_30 | ~spl0_50),
% 18.49/2.96 inference(avatar_split_clause,[],[f6135,f3403,f2073,f1540,f1379,f1249,f1253])).
% 18.49/2.96 thf(f1249,plain,(
% 18.49/2.96 spl0_6 <=> ($false = (d_not @ $false))),
% 18.49/2.96 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
% 18.49/2.96 thf(f1379,plain,(
% 18.49/2.96 spl0_14 <=> ($false = (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK2 @ Y0)))))),
% 18.49/2.96 introduced(avatar_definition,[new_symbols(naming,[spl0_14])])).
% 18.49/2.96 thf(f1540,plain,(
% 18.49/2.96 spl0_21 <=> ($false = (in @ sK4 @ nat))),
% 18.49/2.96 introduced(avatar_definition,[new_symbols(naming,[spl0_21])])).
% 18.49/2.96 thf(f3403,plain,(
% 18.49/2.96 spl0_50 <=> ! [X0,X1] : ((X0 = X1) | ($false = (l_some @ nat @ (^[Y0 : $i]: (X0 = (n_pl @ X1 @ Y0))))) | ((in @ X0 @ nat) = $false) | ((in @ X1 @ nat) = $false) | ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0)))))))),
% 18.49/2.96 introduced(avatar_definition,[new_symbols(naming,[spl0_50])])).
% 18.49/2.96 thf(f6135,plain,(
% 18.49/2.96 (sK4 = sK2) | ($false = (d_not @ $false)) | (spl0_14 | spl0_21 | spl0_30 | ~spl0_50)),
% 18.49/2.96 inference(subsumption_resolution,[],[f6134,f2074])).
% 18.49/2.96 thf(f6134,plain,(
% 18.49/2.96 (sK4 = sK2) | ($false = (d_not @ $false)) | ($false = (in @ sK2 @ nat)) | (spl0_14 | spl0_21 | ~spl0_50)),
% 18.49/2.96 inference(subsumption_resolution,[],[f6133,f1380])).
% 18.49/2.96 thf(f1380,plain,(
% 18.49/2.96 ($false != (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK2 @ Y0))))) | spl0_14),
% 18.49/2.96 inference(avatar_component_clause,[],[f1379])).
% 18.49/2.96 thf(f6133,plain,(
% 18.49/2.96 ($false = (d_not @ $false)) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK2 @ Y0))))) | (sK4 = sK2) | ($false = (in @ sK2 @ nat)) | (spl0_21 | ~spl0_50)),
% 18.49/2.96 inference(subsumption_resolution,[],[f5717,f1541])).
% 18.49/2.96 thf(f1541,plain,(
% 18.49/2.96 ($false != (in @ sK4 @ nat)) | spl0_21),
% 18.49/2.96 inference(avatar_component_clause,[],[f1540])).
% 18.49/2.96 thf(f5717,plain,(
% 18.49/2.96 (sK4 = sK2) | ($false = (in @ sK4 @ nat)) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK2 @ Y0))))) | ($false = (in @ sK2 @ nat)) | ($false = (d_not @ $false)) | ~spl0_50),
% 18.49/2.96 inference(superposition,[],[f3404,f998])).
% 18.49/2.96 thf(f3404,plain,(
% 18.49/2.96 ( ! [X0 : $i,X1 : $i] : (($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0)))))) | (X0 = X1) | ((in @ X0 @ nat) = $false) | ((in @ X1 @ nat) = $false) | ($false = (l_some @ nat @ (^[Y0 : $i]: (X0 = (n_pl @ X1 @ Y0)))))) ) | ~spl0_50),
% 18.49/2.96 inference(avatar_component_clause,[],[f3403])).
% 18.49/2.96 thf(f6120,plain,(
% 18.49/2.96 spl0_3 | ~spl0_6 | spl0_21 | spl0_30 | ~spl0_31 | ~spl0_33),
% 18.49/2.96 inference(avatar_contradiction_clause,[],[f6119])).
% 18.49/2.96 thf(f6119,plain,(
% 18.49/2.96 $false | (spl0_3 | ~spl0_6 | spl0_21 | spl0_30 | ~spl0_31 | ~spl0_33)),
% 18.49/2.96 inference(trivial_inequality_removal,[],[f6118])).
% 18.49/2.96 thf(f6118,plain,(
% 18.49/2.96 ($false = $true) | (spl0_3 | ~spl0_6 | spl0_21 | spl0_30 | ~spl0_31 | ~spl0_33)),
% 18.49/2.96 inference(forward_demodulation,[],[f6117,f1251])).
% 18.49/2.96 thf(f1251,plain,(
% 18.49/2.96 ($false = (d_not @ $false)) | ~spl0_6),
% 18.49/2.96 inference(avatar_component_clause,[],[f1249])).
% 18.49/2.96 thf(f6117,plain,(
% 18.49/2.96 ($true = (d_not @ $false)) | (spl0_3 | ~spl0_6 | spl0_21 | spl0_30 | ~spl0_31 | ~spl0_33)),
% 18.49/2.96 inference(subsumption_resolution,[],[f6005,f1541])).
% 18.49/2.96 thf(f6005,plain,(
% 18.49/2.96 ($false = (in @ sK4 @ nat)) | ($true = (d_not @ $false)) | (spl0_3 | ~spl0_6 | spl0_21 | spl0_30 | ~spl0_31 | ~spl0_33)),
% 18.49/2.96 inference(trivial_inequality_removal,[],[f6004])).
% 18.49/2.96 thf(f6004,plain,(
% 18.49/2.96 ($false = (in @ sK4 @ nat)) | ($false = $true) | ($true = (d_not @ $false)) | (spl0_3 | ~spl0_6 | spl0_21 | spl0_30 | ~spl0_31 | ~spl0_33)),
% 18.49/2.96 inference(duplicate_literal_removal,[],[f5983])).
% 18.49/2.96 thf(f5983,plain,(
% 18.49/2.96 ($false = $true) | ($true = (d_not @ $false)) | ($false = (in @ sK4 @ nat)) | ($false = (in @ sK4 @ nat)) | (spl0_3 | ~spl0_6 | spl0_21 | spl0_30 | ~spl0_31 | ~spl0_33)),
% 18.49/2.96 inference(superposition,[],[f3630,f5950])).
% 18.49/2.96 thf(f5950,plain,(
% 18.49/2.96 ($false = (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK4 @ Y0))))) | (spl0_3 | ~spl0_6 | spl0_21 | spl0_30 | ~spl0_31 | ~spl0_33)),
% 18.49/2.96 inference(subsumption_resolution,[],[f5949,f2074])).
% 18.49/2.96 thf(f5949,plain,(
% 18.49/2.96 ($false = (in @ sK2 @ nat)) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK4 @ Y0))))) | (spl0_3 | ~spl0_6 | spl0_21 | spl0_30 | ~spl0_31 | ~spl0_33)),
% 18.49/2.96 inference(subsumption_resolution,[],[f5948,f1541])).
% 18.49/2.96 thf(f5948,plain,(
% 18.49/2.96 ($false = (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK4 @ Y0))))) | ($false = (in @ sK4 @ nat)) | ($false = (in @ sK2 @ nat)) | (spl0_3 | ~spl0_6 | spl0_21 | spl0_30 | ~spl0_31 | ~spl0_33)),
% 18.49/2.96 inference(subsumption_resolution,[],[f5946,f1232])).
% 18.49/2.96 thf(f5946,plain,(
% 18.49/2.96 ($false = (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK4 @ Y0))))) | ($false = (d_not @ $true)) | ($false = (in @ sK4 @ nat)) | ($false = (in @ sK2 @ nat)) | (spl0_3 | ~spl0_6 | spl0_21 | spl0_30 | ~spl0_31 | ~spl0_33)),
% 18.49/2.96 inference(boolean_simplification,[],[f5945])).
% 18.49/2.96 thf(f5945,plain,(
% 18.49/2.96 ($false = (d_not @ (sK2 = sK2))) | ($false = (in @ sK4 @ nat)) | ($false = (in @ sK2 @ nat)) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK4 @ Y0))))) | (spl0_3 | ~spl0_6 | spl0_21 | spl0_30 | ~spl0_31 | ~spl0_33)),
% 18.49/2.96 inference(trivial_inequality_removal,[],[f5922])).
% 18.49/2.96 thf(f5922,plain,(
% 18.49/2.96 ($false = (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK4 @ Y0))))) | ($false = $true) | ($false = (in @ sK4 @ nat)) | ($false = (in @ sK2 @ nat)) | ($false = (d_not @ (sK2 = sK2))) | (spl0_3 | ~spl0_6 | spl0_21 | spl0_30 | ~spl0_31 | ~spl0_33)),
% 18.49/2.96 inference(superposition,[],[f3531,f3990])).
% 18.49/2.96 thf(f3990,plain,(
% 18.49/2.96 ( ! [X0 : $i] : (($false = (l_some @ nat @ (^[Y0 : $i]: (X0 = (n_pl @ sK4 @ Y0))))) | ($false = (d_not @ (X0 = sK2))) | ((in @ X0 @ nat) = $false)) ) | (spl0_3 | spl0_21 | spl0_30 | ~spl0_31 | ~spl0_33)),
% 18.49/2.96 inference(subsumption_resolution,[],[f3988,f2074])).
% 18.49/2.96 thf(f3988,plain,(
% 18.49/2.96 ( ! [X0 : $i] : (($false = (l_some @ nat @ (^[Y0 : $i]: (X0 = (n_pl @ sK4 @ Y0))))) | ((in @ X0 @ nat) = $false) | ($false = (d_not @ (X0 = sK2))) | ($false = (in @ sK2 @ nat))) ) | (spl0_3 | spl0_21 | spl0_30 | ~spl0_31 | ~spl0_33)),
% 18.49/2.96 inference(trivial_inequality_removal,[],[f3987])).
% 18.49/2.96 thf(f3987,plain,(
% 18.49/2.96 ( ! [X0 : $i] : (((in @ X0 @ nat) = $false) | ($false = (l_some @ nat @ (^[Y0 : $i]: (X0 = (n_pl @ sK4 @ Y0))))) | ($false = $true) | ($false = (in @ sK2 @ nat)) | ($false = (d_not @ (X0 = sK2)))) ) | (spl0_3 | spl0_21 | spl0_30 | ~spl0_31 | ~spl0_33)),
% 18.49/2.96 inference(duplicate_literal_removal,[],[f3950])).
% 18.49/2.96 thf(f3950,plain,(
% 18.49/2.96 ( ! [X0 : $i] : (($false = (in @ sK2 @ nat)) | ($false = (d_not @ (X0 = sK2))) | ((in @ X0 @ nat) = $false) | ($false = (l_some @ nat @ (^[Y0 : $i]: (X0 = (n_pl @ sK4 @ Y0))))) | ((in @ X0 @ nat) = $false) | ($false = $true)) ) | (spl0_3 | spl0_21 | spl0_30 | ~spl0_31 | ~spl0_33)),
% 18.49/2.96 inference(superposition,[],[f3809,f2388])).
% 18.49/2.96 thf(f2388,plain,(
% 18.49/2.96 ( ! [X0 : $i] : (($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ X0 @ Y0))))) | ($false = (l_some @ nat @ (^[Y0 : $i]: (X0 = (n_pl @ sK4 @ Y0))))) | ((in @ X0 @ nat) = $false)) ) | (spl0_21 | spl0_30)),
% 18.49/2.96 inference(subsumption_resolution,[],[f2387,f1541])).
% 18.49/2.96 thf(f2387,plain,(
% 18.49/2.96 ( ! [X0 : $i] : (($false = (in @ sK4 @ nat)) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ X0 @ Y0))))) | ((in @ X0 @ nat) = $false) | ($false = (l_some @ nat @ (^[Y0 : $i]: (X0 = (n_pl @ sK4 @ Y0)))))) ) | spl0_30),
% 18.49/2.96 inference(subsumption_resolution,[],[f2365,f2074])).
% 18.49/2.96 thf(f2365,plain,(
% 18.49/2.96 ( ! [X0 : $i] : (((in @ X0 @ nat) = $false) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ X0 @ Y0))))) | ($false = (in @ sK2 @ nat)) | ($false = (in @ sK4 @ nat)) | ($false = (l_some @ nat @ (^[Y0 : $i]: (X0 = (n_pl @ sK4 @ Y0)))))) )),
% 18.49/2.96 inference(trivial_inequality_removal,[],[f2307])).
% 18.49/2.96 thf(f2307,plain,(
% 18.49/2.96 ( ! [X0 : $i] : (((in @ X0 @ nat) = $false) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ X0 @ Y0))))) | ($false = (in @ sK4 @ nat)) | ($false = (l_some @ nat @ (^[Y0 : $i]: (X0 = (n_pl @ sK4 @ Y0))))) | ($false = (in @ sK2 @ nat)) | ($false = $true)) )),
% 18.49/2.96 inference(superposition,[],[f1212,f998])).
% 18.49/2.96 thf(f1212,plain,(
% 18.49/2.96 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (l_some @ nat @ (^[Y0 : $i]: (X3 = (n_pl @ X1 @ Y0))))) | ((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false) | ($false = (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0))))) | ($false = (l_some @ nat @ (^[Y0 : $i]: (X3 = (n_pl @ X2 @ Y0))))) | ($false = (in @ X3 @ nat))) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f1211])).
% 18.49/2.96 thf(f1211,plain,(
% 18.49/2.96 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false) | ($false = (in @ X3 @ nat)) | ($true = ((l_some @ nat @ (^[Y0 : $i]: (X3 = (n_pl @ X2 @ Y0)))) => (l_some @ nat @ (^[Y0 : $i]: (X3 = (n_pl @ X1 @ Y0)))))) | ($false = (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0)))))) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f1210])).
% 18.49/2.96 thf(f1210,plain,(
% 18.49/2.96 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false) | ($false = (in @ X3 @ nat)) | ($true = ((l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0)))) => ((l_some @ nat @ (^[Y0 : $i]: (X3 = (n_pl @ X2 @ Y0)))) => (l_some @ nat @ (^[Y0 : $i]: (X3 = (n_pl @ X1 @ Y0)))))))) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f1209])).
% 18.49/2.96 thf(f1209,plain,(
% 18.49/2.96 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = ((in @ X3 @ nat) => ((l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0)))) => ((l_some @ nat @ (^[Y0 : $i]: (X3 = (n_pl @ X2 @ Y0)))) => (l_some @ nat @ (^[Y0 : $i]: (X3 = (n_pl @ X1 @ Y0)))))))) | ((in @ X2 @ nat) = $false)) )),
% 18.49/2.96 inference(beta_eta_normalization,[],[f1208])).
% 18.49/2.96 thf(f1208,plain,(
% 18.49/2.96 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => ((l_some @ nat @ (^[Y1 : $i]: (X2 = (n_pl @ X1 @ Y1)))) => ((l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X2 @ Y1)))) => (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1)))))))) @ X3) = $true) | ((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false)) )),
% 18.49/2.96 inference(pi_clausification,[],[f1207])).
% 18.49/2.96 thf(f1207,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((l_some @ nat @ (^[Y1 : $i]: (X2 = (n_pl @ X1 @ Y1)))) => ((l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X2 @ Y1)))) => (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1)))))))))) | ((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false)) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f1206])).
% 18.49/2.96 thf(f1206,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = ((in @ X2 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((l_some @ nat @ (^[Y1 : $i]: (X2 = (n_pl @ X1 @ Y1)))) => ((l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X2 @ Y1)))) => (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1)))))))))))) )),
% 18.49/2.96 inference(beta_eta_normalization,[],[f1205])).
% 18.49/2.96 thf(f1205,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ X1 @ Y2)))) => ((l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ Y0 @ Y2)))) => (l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ X1 @ Y2))))))))))) @ X2)) | ((in @ X1 @ nat) = $false)) )),
% 18.49/2.96 inference(pi_clausification,[],[f1204])).
% 18.49/2.96 thf(f1204,plain,(
% 18.49/2.96 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ X1 @ Y2)))) => ((l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ Y0 @ Y2)))) => (l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ X1 @ Y2))))))))))))) | ((in @ X1 @ nat) = $false)) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f1203])).
% 18.49/2.96 thf(f1203,plain,(
% 18.49/2.96 ( ! [X1 : $i] : (($true = ((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ X1 @ Y2)))) => ((l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ Y0 @ Y2)))) => (l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ X1 @ Y2))))))))))))))) )),
% 18.49/2.96 inference(beta_eta_normalization,[],[f1202])).
% 18.49/2.96 thf(f1202,plain,(
% 18.49/2.96 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((l_some @ nat @ (^[Y3 : $i]: (Y1 = (n_pl @ Y0 @ Y3)))) => ((l_some @ nat @ (^[Y3 : $i]: (Y2 = (n_pl @ Y1 @ Y3)))) => (l_some @ nat @ (^[Y3 : $i]: (Y2 = (n_pl @ Y0 @ Y3)))))))))))))) @ X1) = $true)) )),
% 18.49/2.96 inference(pi_clausification,[],[f728])).
% 18.49/2.96 thf(f728,plain,(
% 18.49/2.96 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((l_some @ nat @ (^[Y3 : $i]: (Y1 = (n_pl @ Y0 @ Y3)))) => ((l_some @ nat @ (^[Y3 : $i]: (Y2 = (n_pl @ Y1 @ Y3)))) => (l_some @ nat @ (^[Y3 : $i]: (Y2 = (n_pl @ Y0 @ Y3))))))))))))))))),
% 18.49/2.96 inference(beta_eta_normalization,[],[f725])).
% 18.49/2.96 thf(f725,plain,(
% 18.49/2.96 ($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]: (l_some @ nat @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9 = Y10)))))) @ nat @ Y5 @ (n_pl @ Y6 @ Y7))))))) @ Y4 @ Y3))))) @ Y0 @ Y1) => (((^[Y3 : $i]: ((^[Y4 : $i]: (l_some @ nat @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9 = Y10)))))) @ nat @ Y5 @ (n_pl @ Y6 @ Y7))))))) @ Y4 @ Y3))))) @ Y1 @ Y2) => ((^[Y3 : $i]: ((^[Y4 : $i]: (l_some @ nat @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9 = Y10)))))) @ nat @ Y5 @ (n_pl @ Y6 @ Y7))))))) @ Y4 @ Y3))))) @ Y0 @ Y2))))))))))),
% 18.49/2.96 inference(definition_unfolding,[],[f665,f671,f671,f671,f670,f670,f670])).
% 18.49/2.96 thf(f665,plain,(
% 18.49/2.96 ($true = (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 : $i]: ((iii @ Y0 @ Y1) => ((iii @ Y1 @ Y2) => (iii @ Y0 @ Y2))))))))))),
% 18.49/2.96 inference(cnf_transformation,[],[f338])).
% 18.49/2.96 thf(f338,plain,(
% 18.49/2.96 ($true = (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]: ((iii @ Y0 @ Y1) => ((iii @ Y1 @ Y2) => (iii @ Y0 @ Y2))))))))))),
% 18.49/2.96 inference(fool_elimination,[],[f337])).
% 18.49/2.96 thf(f337,plain,(
% 18.49/2.96 (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] : ((iii @ X1 @ X3) => ((iii @ X3 @ X5) => (iii @ X1 @ X5)))))))))),
% 18.49/2.96 inference(rectify,[],[f228])).
% 18.49/2.96 thf(f228,axiom,(
% 18.49/2.96 (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] : ((iii @ X0 @ X1) => ((iii @ X1 @ X2) => (iii @ X0 @ X2)))))))))),
% 18.49/2.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz15)).
% 18.49/2.96 thf(f3809,plain,(
% 18.49/2.96 ( ! [X0 : $i,X1 : $i] : (($true = (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0))))) | ((in @ X1 @ nat) = $false) | ((in @ X0 @ nat) = $false) | ($false = (d_not @ (X0 = X1)))) ) | (spl0_3 | ~spl0_31 | ~spl0_33)),
% 18.49/2.96 inference(subsumption_resolution,[],[f3808,f1493])).
% 18.49/2.96 thf(f3808,plain,(
% 18.49/2.96 ( ! [X0 : $i,X1 : $i] : (($true = (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0))))) | (X0 = X1) | ((in @ X0 @ nat) = $false) | ((in @ X1 @ nat) = $false) | ($false = (d_not @ (X0 = X1)))) ) | (spl0_3 | ~spl0_31 | ~spl0_33)),
% 18.49/2.96 inference(boolean_simplification,[],[f3807])).
% 18.49/2.96 thf(f3807,plain,(
% 18.49/2.96 ( ! [X0 : $i,X1 : $i] : ((X0 = X1) | ((in @ X1 @ nat) = $false) | ($true = (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0))))) | ($false = (d_not @ ($true => (X0 = X1)))) | ((in @ X0 @ nat) = $false)) ) | (spl0_3 | ~spl0_31 | ~spl0_33)),
% 18.49/2.96 inference(forward_demodulation,[],[f3801,f3293])).
% 18.49/2.96 thf(f3293,plain,(
% 18.49/2.96 ($true = (d_not @ $true)) | ~spl0_33),
% 18.49/2.96 inference(avatar_component_clause,[],[f3291])).
% 18.49/2.96 thf(f3291,plain,(
% 18.49/2.96 spl0_33 <=> ($true = (d_not @ $true))),
% 18.49/2.96 introduced(avatar_definition,[new_symbols(naming,[spl0_33])])).
% 18.49/2.96 thf(f3801,plain,(
% 18.49/2.96 ( ! [X0 : $i,X1 : $i] : ((X0 = X1) | ($true = (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0))))) | ((in @ X1 @ nat) = $false) | ($false = (d_not @ ((d_not @ $true) => (X0 = X1)))) | ((in @ X0 @ nat) = $false)) ) | (spl0_3 | ~spl0_31)),
% 18.49/2.96 inference(duplicate_literal_removal,[],[f3773])).
% 18.49/2.96 thf(f3773,plain,(
% 18.49/2.96 ( ! [X0 : $i,X1 : $i] : (($true = (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0))))) | (X0 = X1) | ((in @ X0 @ nat) = $false) | ((in @ X1 @ nat) = $false) | ((in @ X0 @ nat) = $false) | ($true = (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0))))) | ((in @ X1 @ nat) = $false) | ($false = (d_not @ ((d_not @ $true) => (X0 = X1))))) ) | (spl0_3 | ~spl0_31)),
% 18.49/2.96 inference(superposition,[],[f823,f3632])).
% 18.49/2.96 thf(f3632,plain,(
% 18.49/2.96 ( ! [X0 : $i,X1 : $i] : (($true = (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0))))) | ((in @ X0 @ nat) = $false) | ((in @ X1 @ nat) = $false) | (X0 = X1) | ($true = (l_some @ nat @ (^[Y0 : $i]: (X0 = (n_pl @ X1 @ Y0)))))) ) | (spl0_3 | ~spl0_31)),
% 18.49/2.96 inference(subsumption_resolution,[],[f3621,f1232])).
% 18.49/2.96 thf(f3621,plain,(
% 18.49/2.96 ( ! [X0 : $i,X1 : $i] : (($true = (l_some @ nat @ (^[Y0 : $i]: (X0 = (n_pl @ X1 @ Y0))))) | ($false = (d_not @ $true)) | ((in @ X1 @ nat) = $false) | ($true = (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0))))) | ((in @ X0 @ nat) = $false) | (X0 = X1)) ) | ~spl0_31),
% 18.49/2.96 inference(boolean_simplification,[],[f3620])).
% 18.49/2.96 thf(f3620,plain,(
% 18.49/2.96 ( ! [X0 : $i,X1 : $i] : (($true = (l_some @ nat @ (^[Y0 : $i]: (X0 = (n_pl @ X1 @ Y0))))) | ((in @ X1 @ nat) = $false) | (X0 = X1) | ($false = (d_not @ ($false => (X0 = X1)))) | ($true = (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0))))) | ((in @ X0 @ nat) = $false)) ) | ~spl0_31),
% 18.49/2.96 inference(duplicate_literal_removal,[],[f3599])).
% 18.49/2.96 thf(f3599,plain,(
% 18.49/2.96 ( ! [X0 : $i,X1 : $i] : (((in @ X0 @ nat) = $false) | ($true = (l_some @ nat @ (^[Y0 : $i]: (X0 = (n_pl @ X1 @ Y0))))) | ((in @ X1 @ nat) = $false) | ($true = (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0))))) | ((in @ X1 @ nat) = $false) | ((in @ X0 @ nat) = $false) | (X0 = X1) | ($false = (d_not @ ($false => (X0 = X1))))) ) | ~spl0_31),
% 18.49/2.96 inference(superposition,[],[f823,f3283])).
% 18.49/2.96 thf(f3283,plain,(
% 18.49/2.96 ( ! [X0 : $i,X1 : $i] : (($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0)))))) | ((in @ X0 @ nat) = $false) | ((in @ X1 @ nat) = $false) | (X0 = X1) | ($true = (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0)))))) ) | ~spl0_31),
% 18.49/2.96 inference(avatar_component_clause,[],[f3282])).
% 18.49/2.96 thf(f3282,plain,(
% 18.49/2.96 spl0_31 <=> ! [X0,X1] : (($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0)))))) | (X0 = X1) | ((in @ X1 @ nat) = $false) | ((in @ X0 @ nat) = $false) | ($true = (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0))))))),
% 18.49/2.96 introduced(avatar_definition,[new_symbols(naming,[spl0_31])])).
% 18.49/2.96 thf(f3531,plain,(
% 18.49/2.96 ( ! [X0 : $i] : (($true = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ X0 @ Y0))))) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ X0 @ Y0))))) | ((in @ X0 @ nat) = $false)) ) | (~spl0_6 | spl0_21 | spl0_30)),
% 18.49/2.96 inference(trivial_inequality_removal,[],[f3530])).
% 18.49/2.96 thf(f3530,plain,(
% 18.49/2.96 ( ! [X0 : $i] : (($false = $true) | ($true = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ X0 @ Y0))))) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ X0 @ Y0))))) | ((in @ X0 @ nat) = $false)) ) | (~spl0_6 | spl0_21 | spl0_30)),
% 18.49/2.96 inference(forward_demodulation,[],[f3529,f1251])).
% 18.49/2.96 thf(f3529,plain,(
% 18.49/2.96 ( ! [X0 : $i] : (((in @ X0 @ nat) = $false) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ X0 @ Y0))))) | ($true = (d_not @ $false)) | ($true = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ X0 @ Y0)))))) ) | (spl0_21 | spl0_30)),
% 18.49/2.96 inference(subsumption_resolution,[],[f3528,f2074])).
% 18.49/2.96 thf(f3528,plain,(
% 18.49/2.96 ( ! [X0 : $i] : (($true = (d_not @ $false)) | ($true = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ X0 @ Y0))))) | ($false = (in @ sK2 @ nat)) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ X0 @ Y0))))) | ((in @ X0 @ nat) = $false)) ) | spl0_21),
% 18.49/2.96 inference(subsumption_resolution,[],[f2642,f1541])).
% 18.49/2.96 thf(f2642,plain,(
% 18.49/2.96 ( ! [X0 : $i] : (($false = (in @ sK4 @ nat)) | ($true = (d_not @ $false)) | ((in @ X0 @ nat) = $false) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ X0 @ Y0))))) | ($true = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ X0 @ Y0))))) | ($false = (in @ sK2 @ nat))) )),
% 18.49/2.96 inference(superposition,[],[f836,f998])).
% 18.49/2.96 thf(f836,plain,(
% 18.49/2.96 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0)))))) | ($false = (in @ X3 @ nat)) | ((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false) | ($false = (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X3 @ Y0))))) | ($true = (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X3 @ Y0)))))) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f834])).
% 18.49/2.96 thf(f834,plain,(
% 18.49/2.96 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X3 @ Y0))))) | ($false = (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X3 @ Y0))))) | ($false = (in @ X3 @ nat)) | ((in @ X1 @ nat) = $false) | ($false = ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0))))) => (X1 = X2))) | ((in @ X2 @ nat) = $false)) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f833])).
% 18.49/2.96 thf(f833,plain,(
% 18.49/2.96 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | ($true = ((l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X3 @ Y0)))) => (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X3 @ Y0)))))) | ($false = ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0))))) => (X1 = X2))) | ($false = (in @ X3 @ nat)) | ((in @ X1 @ nat) = $false)) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f832])).
% 18.49/2.96 thf(f832,plain,(
% 18.49/2.96 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (in @ X3 @ nat)) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false) | ((((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0))))) => (X1 = X2)) => ((l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X3 @ Y0)))) => (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X3 @ Y0)))))) = $true)) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f831])).
% 18.49/2.96 thf(f831,plain,(
% 18.49/2.96 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false) | (((in @ X3 @ nat) => (((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0))))) => (X1 = X2)) => ((l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X3 @ Y0)))) => (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X3 @ Y0))))))) = $true)) )),
% 18.49/2.96 inference(beta_eta_normalization,[],[f830])).
% 18.49/2.96 thf(f830,plain,(
% 18.49/2.96 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (((d_not @ (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ X2 @ Y1))))) => (X1 = X2)) => ((l_some @ nat @ (^[Y1 : $i]: (X2 = (n_pl @ Y0 @ Y1)))) => (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1)))))))) @ X3)) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false)) )),
% 18.49/2.96 inference(pi_clausification,[],[f829])).
% 18.49/2.96 thf(f829,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (((d_not @ (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ X2 @ Y1))))) => (X1 = X2)) => ((l_some @ nat @ (^[Y1 : $i]: (X2 = (n_pl @ Y0 @ Y1)))) => (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1)))))))))) | ((in @ X2 @ nat) = $false)) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f828])).
% 18.49/2.96 thf(f828,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = ((in @ X2 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (((d_not @ (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ X2 @ Y1))))) => (X1 = X2)) => ((l_some @ nat @ (^[Y1 : $i]: (X2 = (n_pl @ Y0 @ Y1)))) => (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1)))))))))))) )),
% 18.49/2.96 inference(beta_eta_normalization,[],[f827])).
% 18.49/2.96 thf(f827,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((d_not @ (l_some @ nat @ (^[Y2 : $i]: (X1 = (n_pl @ Y0 @ Y2))))) => (X1 = Y0)) => ((l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2)))) => (l_some @ nat @ (^[Y2 : $i]: (X1 = (n_pl @ Y1 @ Y2))))))))))) @ X2)) | ((in @ X1 @ nat) = $false)) )),
% 18.49/2.96 inference(pi_clausification,[],[f826])).
% 18.49/2.96 thf(f826,plain,(
% 18.49/2.96 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((d_not @ (l_some @ nat @ (^[Y2 : $i]: (X1 = (n_pl @ Y0 @ Y2))))) => (X1 = Y0)) => ((l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2)))) => (l_some @ nat @ (^[Y2 : $i]: (X1 = (n_pl @ Y1 @ Y2))))))))))))) | ((in @ X1 @ nat) = $false)) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f825])).
% 18.49/2.96 thf(f825,plain,(
% 18.49/2.96 ( ! [X1 : $i] : (($true = ((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((d_not @ (l_some @ nat @ (^[Y2 : $i]: (X1 = (n_pl @ Y0 @ Y2))))) => (X1 = Y0)) => ((l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2)))) => (l_some @ nat @ (^[Y2 : $i]: (X1 = (n_pl @ Y1 @ Y2))))))))))))))) )),
% 18.49/2.96 inference(beta_eta_normalization,[],[f824])).
% 18.49/2.96 thf(f824,plain,(
% 18.49/2.96 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (((d_not @ (l_some @ nat @ (^[Y3 : $i]: (Y0 = (n_pl @ Y1 @ Y3))))) => (Y0 = Y1)) => ((l_some @ nat @ (^[Y3 : $i]: (Y1 = (n_pl @ Y2 @ Y3)))) => (l_some @ nat @ (^[Y3 : $i]: (Y0 = (n_pl @ Y2 @ Y3)))))))))))))) @ X1))) )),
% 18.49/2.96 inference(pi_clausification,[],[f775])).
% 18.49/2.96 thf(f775,plain,(
% 18.49/2.96 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (((d_not @ (l_some @ nat @ (^[Y3 : $i]: (Y0 = (n_pl @ Y1 @ Y3))))) => (Y0 = Y1)) => ((l_some @ nat @ (^[Y3 : $i]: (Y1 = (n_pl @ Y2 @ Y3)))) => (l_some @ nat @ (^[Y3 : $i]: (Y0 = (n_pl @ Y2 @ Y3))))))))))))))) = $true)),
% 18.49/2.96 inference(beta_eta_normalization,[],[f682])).
% 18.49/2.96 thf(f682,plain,(
% 18.49/2.96 ($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 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: (Y6 => Y7)))) @ (d_not @ Y5))) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (l_some @ nat @ ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: (Y11 = Y12)))))) @ nat @ Y7 @ (n_pl @ Y8 @ Y9))))))) @ Y5 @ Y6))))) @ Y3 @ Y4) @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ nat @ Y3 @ Y4))))) @ Y0 @ Y1) => (((^[Y3 : $i]: ((^[Y4 : $i]: (l_some @ nat @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9 = Y10)))))) @ nat @ Y5 @ (n_pl @ Y6 @ Y7))))))) @ Y3 @ Y4))))) @ Y1 @ Y2) => ((^[Y3 : $i]: ((^[Y4 : $i]: (l_some @ nat @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9 = Y10)))))) @ nat @ Y5 @ (n_pl @ Y6 @ Y7))))))) @ Y3 @ Y4))))) @ Y0 @ Y2))))))))))),
% 18.49/2.96 inference(definition_unfolding,[],[f599,f671,f671,f671,f673,f669,f669])).
% 18.49/2.96 thf(f599,plain,(
% 18.49/2.96 ($true = (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 : $i]: ((moreis @ Y0 @ Y1) => ((d_29_ii @ Y1 @ Y2) => (d_29_ii @ Y0 @ Y2))))))))))),
% 18.49/2.96 inference(cnf_transformation,[],[f539])).
% 18.49/2.96 thf(f539,plain,(
% 18.49/2.96 ($true = (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]: ((moreis @ Y0 @ Y1) => ((d_29_ii @ Y1 @ Y2) => (d_29_ii @ Y0 @ Y2))))))))))),
% 18.49/2.96 inference(fool_elimination,[],[f538])).
% 18.49/2.96 thf(f538,plain,(
% 18.49/2.96 (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] : ((moreis @ X1 @ X3) => ((d_29_ii @ X3 @ X5) => (d_29_ii @ X1 @ X5)))))))))),
% 18.49/2.96 inference(rectify,[],[f231])).
% 18.49/2.96 thf(f231,axiom,(
% 18.49/2.96 (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] : ((moreis @ X0 @ X1) => ((d_29_ii @ X1 @ X2) => (d_29_ii @ X0 @ X2)))))))))),
% 18.49/2.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz16c)).
% 18.49/2.96 thf(f3630,plain,(
% 18.49/2.96 ( ! [X0 : $i,X1 : $i] : (($true = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0)))))) | ((in @ X1 @ nat) = $false) | ((in @ X0 @ nat) = $false) | ($true = (l_some @ nat @ (^[Y0 : $i]: (X0 = (n_pl @ X1 @ Y0)))))) ) | ~spl0_31),
% 18.49/2.96 inference(subsumption_resolution,[],[f3627,f902])).
% 18.49/2.96 thf(f3627,plain,(
% 18.49/2.96 ( ! [X0 : $i,X1 : $i] : ((X0 = X1) | ($true = (l_some @ nat @ (^[Y0 : $i]: (X0 = (n_pl @ X1 @ Y0))))) | ((in @ X0 @ nat) = $false) | ($true = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0)))))) | ((in @ X1 @ nat) = $false)) ) | ~spl0_31),
% 18.49/2.96 inference(trivial_inequality_removal,[],[f3626])).
% 18.49/2.96 thf(f3626,plain,(
% 18.49/2.96 ( ! [X0 : $i,X1 : $i] : (($true = (l_some @ nat @ (^[Y0 : $i]: (X0 = (n_pl @ X1 @ Y0))))) | ((in @ X1 @ nat) = $false) | (X0 = X1) | ($true = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0)))))) | ((in @ X0 @ nat) = $false) | ($false = $true)) ) | ~spl0_31),
% 18.49/2.96 inference(duplicate_literal_removal,[],[f3596])).
% 18.49/2.96 thf(f3596,plain,(
% 18.49/2.96 ( ! [X0 : $i,X1 : $i] : (((in @ X0 @ nat) = $false) | ((in @ X0 @ nat) = $false) | ($true = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0)))))) | ((in @ X1 @ nat) = $false) | ((in @ X1 @ nat) = $false) | ($false = $true) | ($true = (l_some @ nat @ (^[Y0 : $i]: (X0 = (n_pl @ X1 @ Y0))))) | (X0 = X1)) ) | ~spl0_31),
% 18.49/2.96 inference(superposition,[],[f3283,f901])).
% 18.49/2.96 thf(f901,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (($true = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0)))))) | ((in @ X2 @ nat) = $false) | ($true = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0)))))) | ((in @ X1 @ nat) = $false)) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f899])).
% 18.49/2.96 thf(f3405,plain,(
% 18.49/2.96 spl0_3 | spl0_50),
% 18.49/2.96 inference(avatar_split_clause,[],[f1569,f3403,f1231])).
% 18.49/2.96 thf(f1569,plain,(
% 18.49/2.96 ( ! [X0 : $i,X1 : $i] : (($false = (d_not @ $true)) | (X0 = X1) | ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0)))))) | ((in @ X1 @ nat) = $false) | ((in @ X0 @ nat) = $false) | ($false = (l_some @ nat @ (^[Y0 : $i]: (X0 = (n_pl @ X1 @ Y0)))))) )),
% 18.49/2.96 inference(duplicate_literal_removal,[],[f1558])).
% 18.49/2.96 thf(f1558,plain,(
% 18.49/2.96 ( ! [X0 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | (X0 = X1) | ((in @ X1 @ nat) = $false) | ($false = (l_some @ nat @ (^[Y0 : $i]: (X0 = (n_pl @ X1 @ Y0))))) | ((in @ X0 @ nat) = $false) | ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0)))))) | ($false = (d_not @ $true)) | ((in @ X0 @ nat) = $false)) )),
% 18.49/2.96 inference(superposition,[],[f1056,f1314])).
% 18.49/2.96 thf(f1314,plain,(
% 18.49/2.96 ( ! [X0 : $i,X1 : $i] : (($true = (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0))))) | ((in @ X0 @ nat) = $false) | ($false = (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0))))) | ((in @ X1 @ nat) = $false)) )),
% 18.49/2.96 inference(trivial_inequality_removal,[],[f1313])).
% 18.49/2.96 thf(f1313,plain,(
% 18.49/2.96 ( ! [X0 : $i,X1 : $i] : (($false = (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0))))) | ($false = $true) | ((in @ X0 @ nat) = $false) | ($true = (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0))))) | ((in @ X1 @ nat) = $false)) )),
% 18.49/2.96 inference(duplicate_literal_removal,[],[f1306])).
% 18.49/2.96 thf(f1306,plain,(
% 18.49/2.96 ( ! [X0 : $i,X1 : $i] : (($false = (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0))))) | ((in @ X1 @ nat) = $false) | ((in @ X1 @ nat) = $false) | ($true = (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0))))) | ($false = $true) | ((in @ X0 @ nat) = $false) | ((in @ X0 @ nat) = $false)) )),
% 18.49/2.96 inference(superposition,[],[f823,f878])).
% 18.49/2.96 thf(f878,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (($true = (d_not @ ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0))))) => (X1 = X2)))) | ((in @ X1 @ nat) = $false) | ($false = (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0))))) | ((in @ X2 @ nat) = $false)) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f877])).
% 18.49/2.96 thf(f877,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false) | (((l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0)))) => (d_not @ ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0))))) => (X1 = X2)))) = $true)) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f876])).
% 18.49/2.96 thf(f876,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (($true = ((in @ X2 @ nat) => ((l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0)))) => (d_not @ ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0))))) => (X1 = X2)))))) | ((in @ X1 @ nat) = $false)) )),
% 18.49/2.96 inference(beta_eta_normalization,[],[f875])).
% 18.49/2.96 thf(f875,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => ((l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1)))) => (d_not @ ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1))))) => (X1 = Y0)))))) @ X2)) | ((in @ X1 @ nat) = $false)) )),
% 18.49/2.96 inference(pi_clausification,[],[f874])).
% 18.49/2.96 thf(f874,plain,(
% 18.49/2.96 ( ! [X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1)))) => (d_not @ ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1))))) => (X1 = Y0))))))))) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f873])).
% 18.49/2.96 thf(f873,plain,(
% 18.49/2.96 ( ! [X1 : $i] : (($true = ((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1)))) => (d_not @ ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1))))) => (X1 = Y0)))))))))) )),
% 18.49/2.96 inference(beta_eta_normalization,[],[f872])).
% 18.49/2.96 thf(f872,plain,(
% 18.49/2.96 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ Y0 @ Y2)))) => (d_not @ ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2))))) => (Y0 = Y1))))))))) @ X1))) )),
% 18.49/2.96 inference(pi_clausification,[],[f767])).
% 18.49/2.96 thf(f767,plain,(
% 18.49/2.96 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ Y0 @ Y2)))) => (d_not @ ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2))))) => (Y0 = Y1)))))))))))),
% 18.49/2.96 inference(beta_eta_normalization,[],[f694])).
% 18.49/2.96 thf(f694,plain,(
% 18.49/2.96 ($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]: ((^[Y3 : $i]: (l_some @ nat @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ nat @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y3 @ Y2))))) @ Y0 @ Y1) => (d_not @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ (d_not @ Y4))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (l_some @ nat @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ nat @ Y6 @ (n_pl @ Y7 @ Y8))))))) @ Y4 @ Y5))))) @ Y2 @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ nat @ Y2 @ Y3))))) @ Y0 @ Y1))))))))),
% 18.49/2.96 inference(definition_unfolding,[],[f615,f671,f671,f670,f673])).
% 18.49/2.96 thf(f615,plain,(
% 18.49/2.96 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((iii @ Y0 @ Y1) => (d_not @ (moreis @ Y0 @ Y1))))))))),
% 18.49/2.96 inference(cnf_transformation,[],[f255])).
% 18.49/2.96 thf(f255,plain,(
% 18.49/2.96 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((iii @ Y0 @ Y1) => (d_not @ (moreis @ Y0 @ Y1))))))))),
% 18.49/2.96 inference(fool_elimination,[],[f254])).
% 18.49/2.96 thf(f254,plain,(
% 18.49/2.96 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((iii @ X1 @ X3) => (d_not @ (moreis @ X1 @ X3)))))))),
% 18.49/2.96 inference(rectify,[],[f225])).
% 18.49/2.96 thf(f225,axiom,(
% 18.49/2.96 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((iii @ X0 @ X1) => (d_not @ (moreis @ X0 @ X1)))))))),
% 18.49/2.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10h)).
% 18.49/2.96 thf(f1056,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0)))))) | ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0)))))) | ((in @ X1 @ nat) = $false) | (X1 = X2) | ((in @ X2 @ nat) = $false)) )),
% 18.49/2.96 inference(equality_proxy_clausification,[],[f1055])).
% 18.49/2.96 thf(f1055,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0)))))) | ($true = (X1 = X2)) | ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0)))))) | ((in @ X2 @ nat) = $false)) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f1054])).
% 18.49/2.96 thf(f1054,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0))))) => (X1 = X2))) | ((in @ X2 @ nat) = $false) | ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0))))))) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f1053])).
% 18.49/2.96 thf(f1053,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false) | ($true = ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0))))) => ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0))))) => (X1 = X2))))) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f1052])).
% 18.49/2.96 thf(f1052,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = ((in @ X2 @ nat) => ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0))))) => ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0))))) => (X1 = X2)))))) )),
% 18.49/2.96 inference(beta_eta_normalization,[],[f1051])).
% 18.49/2.96 thf(f1051,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1))))) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1))))) => (X1 = Y0))))) @ X2))) )),
% 18.49/2.96 inference(pi_clausification,[],[f1050])).
% 18.49/2.96 thf(f1050,plain,(
% 18.49/2.96 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1))))) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1))))) => (X1 = Y0))))))) | ((in @ X1 @ nat) = $false)) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f1049])).
% 18.49/2.96 thf(f1049,plain,(
% 18.49/2.96 ( ! [X1 : $i] : (($true = ((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1))))) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1))))) => (X1 = Y0))))))))) )),
% 18.49/2.96 inference(beta_eta_normalization,[],[f1048])).
% 18.49/2.96 thf(f1048,plain,(
% 18.49/2.96 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ Y0 @ Y2))))) => ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2))))) => (Y0 = Y1)))))))) @ X1))) )),
% 18.49/2.96 inference(pi_clausification,[],[f745])).
% 18.49/2.96 thf(f745,plain,(
% 18.49/2.96 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ Y0 @ Y2))))) => ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2))))) => (Y0 = Y1))))))))))),
% 18.49/2.96 inference(beta_eta_normalization,[],[f706])).
% 18.49/2.96 thf(f706,plain,(
% 18.49/2.96 (((^[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]: ((d_not @ ((^[Y2 : $i]: ((^[Y3 : $i]: (l_some @ nat @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ nat @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y3 @ Y2))))) @ Y0 @ Y1)) => ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ (d_not @ Y4))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (l_some @ nat @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ nat @ Y6 @ (n_pl @ Y7 @ Y8))))))) @ Y4 @ Y5))))) @ Y2 @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ nat @ Y2 @ Y3))))) @ Y0 @ Y1)))))) = $true)),
% 18.49/2.96 inference(definition_unfolding,[],[f634,f671,f671,f670,f673])).
% 18.49/2.96 thf(f634,plain,(
% 18.49/2.96 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (iii @ Y0 @ Y1)) => (moreis @ Y0 @ Y1)))))))),
% 18.49/2.96 inference(cnf_transformation,[],[f408])).
% 18.49/2.96 thf(f408,plain,(
% 18.49/2.96 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (iii @ Y0 @ Y1)) => (moreis @ Y0 @ Y1)))))))),
% 18.49/2.96 inference(fool_elimination,[],[f407])).
% 18.49/2.96 thf(f407,plain,(
% 18.49/2.96 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((d_not @ (iii @ X1 @ X3)) => (moreis @ X1 @ X3))))))),
% 18.49/2.96 inference(rectify,[],[f223])).
% 18.49/2.96 thf(f223,axiom,(
% 18.49/2.96 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((d_not @ (iii @ X0 @ X1)) => (moreis @ X0 @ X1))))))),
% 18.49/2.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10f)).
% 18.49/2.96 thf(f3326,plain,(
% 18.49/2.96 spl0_3 | spl0_33 | ~spl0_16 | spl0_19 | spl0_30),
% 18.49/2.96 inference(avatar_split_clause,[],[f3325,f2073,f1434,f1401,f3291,f1231])).
% 18.49/2.96 thf(f1401,plain,(
% 18.49/2.96 spl0_16 <=> ($true = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0)))))),
% 18.49/2.96 introduced(avatar_definition,[new_symbols(naming,[spl0_16])])).
% 18.49/2.96 thf(f1434,plain,(
% 18.49/2.96 spl0_19 <=> ($false = (in @ sK3 @ nat))),
% 18.49/2.96 introduced(avatar_definition,[new_symbols(naming,[spl0_19])])).
% 18.49/2.96 thf(f3325,plain,(
% 18.49/2.96 ($true = (d_not @ $true)) | ($false = (d_not @ $true)) | (~spl0_16 | spl0_19 | spl0_30)),
% 18.49/2.96 inference(subsumption_resolution,[],[f3324,f2074])).
% 18.49/2.96 thf(f3324,plain,(
% 18.49/2.96 ($false = (d_not @ $true)) | ($true = (d_not @ $true)) | ($false = (in @ sK2 @ nat)) | (~spl0_16 | spl0_19)),
% 18.49/2.96 inference(subsumption_resolution,[],[f1726,f1435])).
% 18.49/2.96 thf(f1435,plain,(
% 18.49/2.96 ($false != (in @ sK3 @ nat)) | spl0_19),
% 18.49/2.96 inference(avatar_component_clause,[],[f1434])).
% 18.49/2.96 thf(f1726,plain,(
% 18.49/2.96 ($false = (d_not @ $true)) | ($false = (in @ sK3 @ nat)) | ($false = (in @ sK2 @ nat)) | ($true = (d_not @ $true)) | ~spl0_16),
% 18.49/2.96 inference(superposition,[],[f962,f1403])).
% 18.49/2.96 thf(f1403,plain,(
% 18.49/2.96 ($true = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0))))) | ~spl0_16),
% 18.49/2.96 inference(avatar_component_clause,[],[f1401])).
% 18.49/2.96 thf(f962,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (($true = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0)))))) | ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0)))))) | ((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false)) )),
% 18.49/2.96 inference(subsumption_resolution,[],[f961,f902])).
% 18.49/2.96 thf(f961,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : ((X1 = X2) | ((in @ X2 @ nat) = $false) | ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0)))))) | ((in @ X1 @ nat) = $false) | ($true = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0))))))) )),
% 18.49/2.96 inference(equality_proxy_clausification,[],[f960])).
% 18.49/2.96 thf(f960,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (($true = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0)))))) | ($true = (X2 = X1)) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false) | ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0))))))) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f956])).
% 18.49/2.96 thf(f956,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | ($true = ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0))))) => (X2 = X1))) | ($true = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0)))))) | ((in @ X1 @ nat) = $false)) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f954])).
% 18.49/2.96 thf(f954,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (($false = ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0))))) => (X1 = X2))) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false) | ($true = ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0))))) => (X2 = X1)))) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f953])).
% 18.49/2.96 thf(f953,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (($true = (((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0))))) => (X1 = X2)) => ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0))))) => (X2 = X1)))) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false)) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f952])).
% 18.49/2.96 thf(f952,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = ((in @ X2 @ nat) => (((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0))))) => (X1 = X2)) => ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0))))) => (X2 = X1)))))) )),
% 18.49/2.96 inference(beta_eta_normalization,[],[f951])).
% 18.49/2.96 thf(f951,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (((d_not @ (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1))))) => (X1 = Y0)) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1))))) => (Y0 = X1))))) @ X2)) | ((in @ X1 @ nat) = $false)) )),
% 18.49/2.96 inference(pi_clausification,[],[f950])).
% 18.49/2.96 thf(f950,plain,(
% 18.49/2.96 ( ! [X1 : $i] : (((in @ X1 @ nat) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (((d_not @ (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1))))) => (X1 = Y0)) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1))))) => (Y0 = X1)))))) = $true)) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f949])).
% 18.49/2.96 thf(f949,plain,(
% 18.49/2.96 ( ! [X1 : $i] : ((((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (((d_not @ (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1))))) => (X1 = Y0)) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1))))) => (Y0 = X1))))))) = $true)) )),
% 18.49/2.96 inference(beta_eta_normalization,[],[f948])).
% 18.49/2.96 thf(f948,plain,(
% 18.49/2.96 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2))))) => (Y0 = Y1)) => ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2))))) => (Y1 = Y0)))))))) @ X1))) )),
% 18.49/2.96 inference(pi_clausification,[],[f756])).
% 18.49/2.96 thf(f756,plain,(
% 18.49/2.96 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2))))) => (Y0 = Y1)) => ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2))))) => (Y1 = Y0))))))))))),
% 18.49/2.96 inference(beta_eta_normalization,[],[f699])).
% 18.49/2.96 thf(f699,plain,(
% 18.49/2.96 ($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]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ (d_not @ Y4))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (l_some @ nat @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ nat @ Y6 @ (n_pl @ Y7 @ Y8))))))) @ Y4 @ Y5))))) @ Y2 @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ nat @ Y2 @ Y3))))) @ Y0 @ Y1) => ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ (d_not @ Y4))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (l_some @ nat @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ nat @ Y6 @ (n_pl @ Y7 @ Y8))))))) @ Y5 @ Y4))))) @ Y2 @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ nat @ Y2 @ Y3))))) @ Y1 @ Y0)))))))),
% 18.49/2.96 inference(definition_unfolding,[],[f624,f671,f671,f673,f677])).
% 18.49/2.96 thf(f677,plain,(
% 18.49/2.96 (lessis = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ (d_not @ Y2))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (l_some @ nat @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ nat @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y3 @ Y2))))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3 = Y4)))))) @ nat @ Y0 @ Y1))))))),
% 18.49/2.96 inference(definition_unfolding,[],[f617,f672,f670,f667])).
% 18.49/2.96 thf(f617,plain,(
% 18.49/2.96 (lessis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (iii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 18.49/2.96 inference(cnf_transformation,[],[f422])).
% 18.49/2.96 thf(f422,plain,(
% 18.49/2.96 (lessis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (iii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 18.49/2.96 inference(fool_elimination,[],[f217])).
% 18.49/2.96 thf(f217,axiom,(
% 18.49/2.96 (lessis = (^[X0 : $i, X1 : $i] : (l_or @ (iii @ X0 @ X1) @ (n_is @ X0 @ X1))))),
% 18.49/2.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_lessis)).
% 18.49/2.96 thf(f624,plain,(
% 18.49/2.96 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((moreis @ Y0 @ Y1) => (lessis @ Y1 @ Y0)))))))),
% 18.49/2.96 inference(cnf_transformation,[],[f276])).
% 18.49/2.96 thf(f276,plain,(
% 18.49/2.96 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((moreis @ Y0 @ Y1) => (lessis @ Y1 @ Y0)))))))),
% 18.49/2.96 inference(fool_elimination,[],[f275])).
% 18.49/2.96 thf(f275,plain,(
% 18.49/2.96 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((moreis @ X1 @ X3) => (lessis @ X3 @ X1))))))),
% 18.49/2.96 inference(rectify,[],[f218])).
% 18.49/2.96 thf(f218,axiom,(
% 18.49/2.96 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((moreis @ X0 @ X1) => (lessis @ X1 @ X0))))))),
% 18.49/2.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz13)).
% 18.49/2.96 thf(f3285,plain,(
% 18.49/2.96 spl0_3 | spl0_31),
% 18.49/2.96 inference(avatar_split_clause,[],[f2132,f3282,f1231])).
% 18.49/2.96 thf(f2132,plain,(
% 18.49/2.96 ( ! [X0 : $i,X1 : $i] : (((in @ X0 @ nat) = $false) | ((in @ X1 @ nat) = $false) | (X0 = X1) | ($false = (d_not @ $true)) | ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0)))))) | ($true = (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0)))))) )),
% 18.49/2.96 inference(boolean_simplification,[],[f2131])).
% 18.49/2.96 thf(f2131,plain,(
% 18.49/2.96 ( ! [X0 : $i,X1 : $i] : (($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0)))))) | ((in @ X0 @ nat) = $false) | ($true = (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0))))) | (X0 = X1) | ($false = (d_not @ ($false => (X1 = X0)))) | ((in @ X1 @ nat) = $false)) )),
% 18.49/2.96 inference(duplicate_literal_removal,[],[f2111])).
% 18.49/2.96 thf(f2111,plain,(
% 18.49/2.96 ( ! [X0 : $i,X1 : $i] : ((X0 = X1) | ((in @ X1 @ nat) = $false) | ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0)))))) | ((in @ X0 @ nat) = $false) | ($true = (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X0 @ Y0))))) | ($false = (d_not @ ($false => (X1 = X0)))) | ((in @ X1 @ nat) = $false) | ((in @ X0 @ nat) = $false)) )),
% 18.49/2.96 inference(superposition,[],[f1141,f1056])).
% 18.49/2.96 thf(f1141,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (($false = (d_not @ ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0))))) => (X1 = X2)))) | ((l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0)))) = $true) | ((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false)) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f1140])).
% 18.49/2.96 thf(f1140,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (($true = ((d_not @ ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0))))) => (X1 = X2))) => (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0)))))) | ((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false)) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f1139])).
% 18.49/2.96 thf(f1139,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = ((in @ X2 @ nat) => ((d_not @ ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0))))) => (X1 = X2))) => (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0)))))))) )),
% 18.49/2.96 inference(beta_eta_normalization,[],[f1138])).
% 18.49/2.96 thf(f1138,plain,(
% 18.49/2.96 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | (((^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_not @ ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1))))) => (X1 = Y0))) => (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1))))))) @ X2) = $true)) )),
% 18.49/2.96 inference(pi_clausification,[],[f1137])).
% 18.49/2.96 thf(f1137,plain,(
% 18.49/2.96 ( ! [X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_not @ ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1))))) => (X1 = Y0))) => (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1)))))))))) )),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f1136])).
% 18.49/2.96 thf(f1136,plain,(
% 18.49/2.96 ( ! [X1 : $i] : (($true = ((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_not @ ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1))))) => (X1 = Y0))) => (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1))))))))))) )),
% 18.49/2.96 inference(beta_eta_normalization,[],[f1135])).
% 18.49/2.96 thf(f1135,plain,(
% 18.49/2.96 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_not @ ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ Y0 @ Y2))))) => (Y0 = Y1))) => (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2)))))))))) @ X1))) )),
% 18.49/2.96 inference(pi_clausification,[],[f736])).
% 18.49/2.96 thf(f736,plain,(
% 18.49/2.96 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_not @ ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ Y0 @ Y2))))) => (Y0 = Y1))) => (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2))))))))))))),
% 18.49/2.96 inference(beta_eta_normalization,[],[f705])).
% 18.49/2.96 thf(f705,plain,(
% 18.49/2.96 ($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]: ((d_not @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ (d_not @ Y4))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (l_some @ nat @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ nat @ Y6 @ (n_pl @ Y7 @ Y8))))))) @ Y5 @ Y4))))) @ Y2 @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ nat @ Y2 @ Y3))))) @ Y0 @ Y1)) => ((^[Y2 : $i]: ((^[Y3 : $i]: (l_some @ nat @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ nat @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y2 @ Y3))))) @ Y0 @ Y1)))))))),
% 18.49/2.96 inference(definition_unfolding,[],[f633,f671,f671,f677,f669])).
% 18.49/2.96 thf(f633,plain,(
% 18.49/2.96 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (lessis @ Y0 @ Y1)) => (d_29_ii @ Y0 @ Y1)))))))),
% 18.49/2.96 inference(cnf_transformation,[],[f556])).
% 18.49/2.96 thf(f556,plain,(
% 18.49/2.96 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (lessis @ Y0 @ Y1)) => (d_29_ii @ Y0 @ Y1)))))))),
% 18.49/2.96 inference(fool_elimination,[],[f555])).
% 18.49/2.96 thf(f555,plain,(
% 18.49/2.96 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((d_not @ (lessis @ X1 @ X3)) => (d_29_ii @ X1 @ X3))))))),
% 18.49/2.96 inference(rectify,[],[f227])).
% 18.49/2.96 thf(f227,axiom,(
% 18.49/2.96 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((d_not @ (lessis @ X0 @ X1)) => (d_29_ii @ X0 @ X1))))))),
% 18.49/2.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10k)).
% 18.49/2.96 thf(f3271,plain,(
% 18.49/2.96 spl0_22 | ~spl0_16 | spl0_19 | spl0_21 | spl0_30),
% 18.49/2.96 inference(avatar_split_clause,[],[f3183,f2073,f1540,f1434,f1401,f1592])).
% 18.49/2.96 thf(f1592,plain,(
% 18.49/2.96 spl0_22 <=> ($false = (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK4 @ Y0)))))),
% 18.49/2.96 introduced(avatar_definition,[new_symbols(naming,[spl0_22])])).
% 18.49/2.96 thf(f3183,plain,(
% 18.49/2.96 ($false = (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK4 @ Y0))))) | (~spl0_16 | spl0_19 | spl0_21 | spl0_30)),
% 18.49/2.96 inference(subsumption_resolution,[],[f3160,f1435])).
% 18.49/2.96 thf(f3160,plain,(
% 18.49/2.96 ($false = (in @ sK3 @ nat)) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK4 @ Y0))))) | (~spl0_16 | spl0_21 | spl0_30)),
% 18.49/2.96 inference(trivial_inequality_removal,[],[f3133])).
% 18.49/2.96 thf(f3133,plain,(
% 18.49/2.96 ($false = $true) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK4 @ Y0))))) | ($false = (in @ sK3 @ nat)) | (~spl0_16 | spl0_21 | spl0_30)),
% 18.49/2.96 inference(superposition,[],[f1403,f2388])).
% 18.49/2.96 thf(f3224,plain,(
% 18.49/2.96 ~spl0_1 | ~spl0_3 | spl0_14),
% 18.49/2.96 inference(avatar_contradiction_clause,[],[f3223])).
% 18.49/2.96 thf(f3223,plain,(
% 18.49/2.96 $false | (~spl0_1 | ~spl0_3 | spl0_14)),
% 18.49/2.96 inference(subsumption_resolution,[],[f3204,f1339])).
% 18.49/2.96 thf(f1339,plain,(
% 18.49/2.96 ((l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK2 @ Y0)))) = $false) | ~spl0_3),
% 18.49/2.96 inference(trivial_inequality_removal,[],[f1338])).
% 18.49/2.96 thf(f1338,plain,(
% 18.49/2.96 ((l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK2 @ Y0)))) = $false) | ($false = $true) | ~spl0_3),
% 18.49/2.96 inference(forward_demodulation,[],[f1337,f987])).
% 18.49/2.96 thf(f987,plain,(
% 18.49/2.96 ($true = (in @ sK2 @ nat))),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f985])).
% 18.49/2.96 thf(f1337,plain,(
% 18.49/2.96 ((l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK2 @ Y0)))) = $false) | ($false = (in @ sK2 @ nat)) | ~spl0_3),
% 18.49/2.96 inference(trivial_inequality_removal,[],[f1336])).
% 18.49/2.96 thf(f1336,plain,(
% 18.49/2.96 ((l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK2 @ Y0)))) = $false) | ($false = $true) | ($false = (in @ sK2 @ nat)) | ~spl0_3),
% 18.49/2.96 inference(forward_demodulation,[],[f1335,f1233])).
% 18.49/2.96 thf(f1233,plain,(
% 18.49/2.96 ($false = (d_not @ $true)) | ~spl0_3),
% 18.49/2.96 inference(avatar_component_clause,[],[f1231])).
% 18.49/2.96 thf(f1335,plain,(
% 18.49/2.96 ($true = (d_not @ $true)) | ($false = (in @ sK2 @ nat)) | ((l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK2 @ Y0)))) = $false) | ~spl0_3),
% 18.49/2.96 inference(boolean_simplification,[],[f1334])).
% 18.49/2.96 thf(f1334,plain,(
% 18.49/2.96 ($true = (d_not @ ($false => (sK2 = sK3)))) | ($false = (in @ sK2 @ nat)) | ((l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK2 @ Y0)))) = $false) | ~spl0_3),
% 18.49/2.96 inference(forward_demodulation,[],[f1333,f1233])).
% 18.49/2.96 thf(f1333,plain,(
% 18.49/2.96 ($true = (d_not @ ((d_not @ $true) => (sK2 = sK3)))) | ($false = (in @ sK2 @ nat)) | ((l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK2 @ Y0)))) = $false)),
% 18.49/2.96 inference(trivial_inequality_removal,[],[f1332])).
% 18.49/2.96 thf(f1332,plain,(
% 18.49/2.96 ((l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK2 @ Y0)))) = $false) | ($true = (d_not @ ((d_not @ $true) => (sK2 = sK3)))) | ($false = $true) | ($false = (in @ sK2 @ nat))),
% 18.49/2.96 inference(forward_demodulation,[],[f1302,f991])).
% 18.49/2.96 thf(f991,plain,(
% 18.49/2.96 ($true = (in @ sK3 @ nat))),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f989])).
% 18.49/2.96 thf(f1302,plain,(
% 18.49/2.96 ($false = (in @ sK3 @ nat)) | ($false = (in @ sK2 @ nat)) | ($true = (d_not @ ((d_not @ $true) => (sK2 = sK3)))) | ((l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK2 @ Y0)))) = $false)),
% 18.49/2.96 inference(superposition,[],[f878,f997])).
% 18.49/2.96 thf(f997,plain,(
% 18.49/2.96 ($true = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0)))))),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f994])).
% 18.49/2.96 thf(f3204,plain,(
% 18.49/2.96 ((l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK2 @ Y0)))) != $false) | (~spl0_1 | spl0_14)),
% 18.49/2.96 inference(backward_demodulation,[],[f1380,f1005])).
% 18.49/2.96 thf(f1005,plain,(
% 18.49/2.96 (sK4 = sK3) | ~spl0_1),
% 18.49/2.96 inference(avatar_component_clause,[],[f1003])).
% 18.49/2.96 thf(f1003,plain,(
% 18.49/2.96 spl0_1 <=> (sK4 = sK3)),
% 18.49/2.96 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 18.49/2.96 thf(f2093,plain,(
% 18.49/2.96 ~spl0_30),
% 18.49/2.96 inference(avatar_contradiction_clause,[],[f2092])).
% 18.49/2.96 thf(f2092,plain,(
% 18.49/2.96 $false | ~spl0_30),
% 18.49/2.96 inference(trivial_inequality_removal,[],[f2091])).
% 18.49/2.96 thf(f2091,plain,(
% 18.49/2.96 ($false = $true) | ~spl0_30),
% 18.49/2.96 inference(backward_demodulation,[],[f987,f2075])).
% 18.49/2.96 thf(f2075,plain,(
% 18.49/2.96 ($false = (in @ sK2 @ nat)) | ~spl0_30),
% 18.49/2.96 inference(avatar_component_clause,[],[f2073])).
% 18.49/2.96 thf(f2090,plain,(
% 18.49/2.96 ~spl0_21),
% 18.49/2.96 inference(avatar_contradiction_clause,[],[f2089])).
% 18.49/2.96 thf(f2089,plain,(
% 18.49/2.96 $false | ~spl0_21),
% 18.49/2.96 inference(trivial_inequality_removal,[],[f2088])).
% 18.49/2.96 thf(f2088,plain,(
% 18.49/2.96 ($false = $true) | ~spl0_21),
% 18.49/2.96 inference(backward_demodulation,[],[f995,f1542])).
% 18.49/2.96 thf(f1542,plain,(
% 18.49/2.96 ($false = (in @ sK4 @ nat)) | ~spl0_21),
% 18.49/2.96 inference(avatar_component_clause,[],[f1540])).
% 18.49/2.96 thf(f995,plain,(
% 18.49/2.96 ($true = (in @ sK4 @ nat))),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f993])).
% 18.49/2.96 thf(f1614,plain,(
% 18.49/2.96 ~spl0_2 | spl0_6 | ~spl0_22),
% 18.49/2.96 inference(avatar_contradiction_clause,[],[f1613])).
% 18.49/2.96 thf(f1613,plain,(
% 18.49/2.96 $false | (~spl0_2 | spl0_6 | ~spl0_22)),
% 18.49/2.96 inference(subsumption_resolution,[],[f1612,f1250])).
% 18.49/2.96 thf(f1250,plain,(
% 18.49/2.96 ($false != (d_not @ $false)) | spl0_6),
% 18.49/2.96 inference(avatar_component_clause,[],[f1249])).
% 18.49/2.96 thf(f1612,plain,(
% 18.49/2.96 ($false = (d_not @ $false)) | (~spl0_2 | ~spl0_22)),
% 18.49/2.96 inference(backward_demodulation,[],[f1009,f1594])).
% 18.49/2.96 thf(f1594,plain,(
% 18.49/2.96 ($false = (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK4 @ Y0))))) | ~spl0_22),
% 18.49/2.96 inference(avatar_component_clause,[],[f1592])).
% 18.49/2.96 thf(f1009,plain,(
% 18.49/2.96 ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK4 @ Y0)))))) | ~spl0_2),
% 18.49/2.96 inference(avatar_component_clause,[],[f1007])).
% 18.49/2.96 thf(f1007,plain,(
% 18.49/2.96 spl0_2 <=> ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK4 @ Y0))))))),
% 18.49/2.96 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 18.49/2.96 thf(f1455,plain,(
% 18.49/2.96 ~spl0_19),
% 18.49/2.96 inference(avatar_contradiction_clause,[],[f1454])).
% 18.49/2.96 thf(f1454,plain,(
% 18.49/2.96 $false | ~spl0_19),
% 18.49/2.96 inference(trivial_inequality_removal,[],[f1453])).
% 18.49/2.96 thf(f1453,plain,(
% 18.49/2.96 ($false = $true) | ~spl0_19),
% 18.49/2.96 inference(backward_demodulation,[],[f991,f1436])).
% 18.49/2.96 thf(f1436,plain,(
% 18.49/2.96 ($false = (in @ sK3 @ nat)) | ~spl0_19),
% 18.49/2.96 inference(avatar_component_clause,[],[f1434])).
% 18.49/2.96 thf(f1451,plain,(
% 18.49/2.96 ~spl0_1 | spl0_4 | ~spl0_7),
% 18.49/2.96 inference(avatar_contradiction_clause,[],[f1450])).
% 18.49/2.96 thf(f1450,plain,(
% 18.49/2.96 $false | (~spl0_1 | spl0_4 | ~spl0_7)),
% 18.49/2.96 inference(subsumption_resolution,[],[f1449,f1236])).
% 18.49/2.96 thf(f1236,plain,(
% 18.49/2.96 (sK2 != sK3) | spl0_4),
% 18.49/2.96 inference(avatar_component_clause,[],[f1235])).
% 18.49/2.96 thf(f1235,plain,(
% 18.49/2.96 spl0_4 <=> (sK2 = sK3)),
% 18.49/2.96 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 18.49/2.96 thf(f1449,plain,(
% 18.49/2.96 (sK2 = sK3) | (~spl0_1 | ~spl0_7)),
% 18.49/2.96 inference(forward_demodulation,[],[f1005,f1255])).
% 18.49/2.96 thf(f1448,plain,(
% 18.49/2.96 spl0_16),
% 18.49/2.96 inference(avatar_split_clause,[],[f997,f1401])).
% 18.49/2.96 thf(f1428,plain,(
% 18.49/2.96 ~spl0_3 | ~spl0_4),
% 18.49/2.96 inference(avatar_contradiction_clause,[],[f1427])).
% 18.49/2.96 thf(f1427,plain,(
% 18.49/2.96 $false | (~spl0_3 | ~spl0_4)),
% 18.49/2.96 inference(trivial_inequality_removal,[],[f1426])).
% 18.49/2.96 thf(f1426,plain,(
% 18.49/2.96 ($false = $true) | (~spl0_3 | ~spl0_4)),
% 18.49/2.96 inference(forward_demodulation,[],[f997,f1425])).
% 18.49/2.96 thf(f1425,plain,(
% 18.49/2.96 ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0))))) | (~spl0_3 | ~spl0_4)),
% 18.49/2.96 inference(trivial_inequality_removal,[],[f1424])).
% 18.49/2.96 thf(f1424,plain,(
% 18.49/2.96 ($false = $true) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0))))) | (~spl0_3 | ~spl0_4)),
% 18.49/2.96 inference(forward_demodulation,[],[f1423,f987])).
% 18.49/2.96 thf(f1423,plain,(
% 18.49/2.96 ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0))))) | ($false = (in @ sK2 @ nat)) | (~spl0_3 | ~spl0_4)),
% 18.49/2.96 inference(trivial_inequality_removal,[],[f1422])).
% 18.49/2.96 thf(f1422,plain,(
% 18.49/2.96 ($false = $true) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0))))) | ($false = (in @ sK2 @ nat)) | (~spl0_3 | ~spl0_4)),
% 18.49/2.96 inference(forward_demodulation,[],[f1421,f1233])).
% 18.49/2.96 thf(f1421,plain,(
% 18.49/2.96 ($true = (d_not @ $true)) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0))))) | ($false = (in @ sK2 @ nat)) | (~spl0_3 | ~spl0_4)),
% 18.49/2.96 inference(boolean_simplification,[],[f1420])).
% 18.49/2.96 thf(f1420,plain,(
% 18.49/2.96 ((d_not @ ((d_not @ $false) => $true)) = $true) | ($false = (in @ sK2 @ nat)) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0))))) | (~spl0_3 | ~spl0_4)),
% 18.49/2.96 inference(boolean_simplification,[],[f1419])).
% 18.49/2.96 thf(f1419,plain,(
% 18.49/2.96 ($false = (in @ sK2 @ nat)) | ($true = (d_not @ ((d_not @ $false) => (sK2 = sK2)))) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0))))) | (~spl0_3 | ~spl0_4)),
% 18.49/2.96 inference(forward_demodulation,[],[f1418,f1237])).
% 18.49/2.96 thf(f1237,plain,(
% 18.49/2.96 (sK2 = sK3) | ~spl0_4),
% 18.49/2.96 inference(avatar_component_clause,[],[f1235])).
% 18.49/2.96 thf(f1418,plain,(
% 18.49/2.96 ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0))))) | ($true = (d_not @ ((d_not @ $false) => (sK3 = sK2)))) | ($false = (in @ sK2 @ nat)) | (~spl0_3 | ~spl0_4)),
% 18.49/2.96 inference(forward_demodulation,[],[f1344,f1237])).
% 18.49/2.96 thf(f1344,plain,(
% 18.49/2.96 ($true = (d_not @ ((d_not @ $false) => (sK3 = sK2)))) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0))))) | ($false = (in @ sK3 @ nat)) | ~spl0_3),
% 18.49/2.96 inference(trivial_inequality_removal,[],[f1343])).
% 18.49/2.96 thf(f1343,plain,(
% 18.49/2.96 ($true = (d_not @ ((d_not @ $false) => (sK3 = sK2)))) | ($false = $true) | ($false = (in @ sK3 @ nat)) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0))))) | ~spl0_3),
% 18.49/2.96 inference(forward_demodulation,[],[f1341,f987])).
% 18.49/2.96 thf(f1341,plain,(
% 18.49/2.96 ($false = (in @ sK2 @ nat)) | ($false = (in @ sK3 @ nat)) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0))))) | ($true = (d_not @ ((d_not @ $false) => (sK3 = sK2)))) | ~spl0_3),
% 18.49/2.96 inference(superposition,[],[f878,f1339])).
% 18.49/2.96 thf(f1411,plain,(
% 18.49/2.96 spl0_6 | ~spl0_8 | ~spl0_14),
% 18.49/2.96 inference(avatar_contradiction_clause,[],[f1410])).
% 18.49/2.96 thf(f1410,plain,(
% 18.49/2.96 $false | (spl0_6 | ~spl0_8 | ~spl0_14)),
% 18.49/2.96 inference(subsumption_resolution,[],[f1409,f1250])).
% 18.49/2.96 thf(f1409,plain,(
% 18.49/2.96 ($false = (d_not @ $false)) | (~spl0_8 | ~spl0_14)),
% 18.49/2.96 inference(backward_demodulation,[],[f1259,f1381])).
% 18.49/2.96 thf(f1381,plain,(
% 18.49/2.96 ($false = (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK2 @ Y0))))) | ~spl0_14),
% 18.49/2.96 inference(avatar_component_clause,[],[f1379])).
% 18.49/2.96 thf(f1259,plain,(
% 18.49/2.96 ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK2 @ Y0)))))) | ~spl0_8),
% 18.49/2.96 inference(avatar_component_clause,[],[f1257])).
% 18.49/2.96 thf(f1257,plain,(
% 18.49/2.96 spl0_8 <=> ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK2 @ Y0))))))),
% 18.49/2.96 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
% 18.49/2.96 thf(f1353,plain,(
% 18.49/2.96 ~spl0_3 | ~spl0_6),
% 18.49/2.96 inference(avatar_contradiction_clause,[],[f1352])).
% 18.49/2.96 thf(f1352,plain,(
% 18.49/2.96 $false | (~spl0_3 | ~spl0_6)),
% 18.49/2.96 inference(trivial_inequality_removal,[],[f1351])).
% 18.49/2.96 thf(f1351,plain,(
% 18.49/2.96 ($false = $true) | (~spl0_3 | ~spl0_6)),
% 18.49/2.96 inference(backward_demodulation,[],[f997,f1350])).
% 18.49/2.96 thf(f1350,plain,(
% 18.49/2.96 ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0))))) | (~spl0_3 | ~spl0_6)),
% 18.49/2.96 inference(trivial_inequality_removal,[],[f1349])).
% 18.49/2.96 thf(f1349,plain,(
% 18.49/2.96 ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0))))) | ($false = $true) | (~spl0_3 | ~spl0_6)),
% 18.49/2.96 inference(forward_demodulation,[],[f1348,f991])).
% 18.49/2.96 thf(f1348,plain,(
% 18.49/2.96 ($false = (in @ sK3 @ nat)) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0))))) | (~spl0_3 | ~spl0_6)),
% 18.49/2.96 inference(trivial_inequality_removal,[],[f1347])).
% 18.49/2.96 thf(f1347,plain,(
% 18.49/2.96 ($false = $true) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0))))) | ($false = (in @ sK3 @ nat)) | (~spl0_3 | ~spl0_6)),
% 18.49/2.96 inference(forward_demodulation,[],[f1346,f1233])).
% 18.49/2.96 thf(f1346,plain,(
% 18.49/2.96 ($true = (d_not @ $true)) | ($false = (in @ sK3 @ nat)) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0))))) | (~spl0_3 | ~spl0_6)),
% 18.49/2.96 inference(boolean_simplification,[],[f1345])).
% 18.49/2.96 thf(f1345,plain,(
% 18.49/2.96 ($false = (in @ sK3 @ nat)) | ((d_not @ ($false => (sK3 = sK2))) = $true) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0))))) | (~spl0_3 | ~spl0_6)),
% 18.49/2.96 inference(forward_demodulation,[],[f1344,f1251])).
% 18.49/2.96 thf(f1260,plain,(
% 18.49/2.96 spl0_6 | spl0_7 | spl0_8),
% 18.49/2.96 inference(avatar_split_clause,[],[f1247,f1257,f1253,f1249])).
% 18.49/2.96 thf(f1247,plain,(
% 18.49/2.96 (sK4 = sK2) | ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK2 @ Y0)))))) | ($false = (d_not @ $false))),
% 18.49/2.96 inference(trivial_inequality_removal,[],[f1246])).
% 18.49/2.96 thf(f1246,plain,(
% 18.49/2.96 ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK2 @ Y0)))))) | ($false = (d_not @ $false)) | ($false = $true) | (sK4 = sK2)),
% 18.49/2.96 inference(forward_demodulation,[],[f1245,f995])).
% 18.49/2.96 thf(f1245,plain,(
% 18.49/2.96 (sK4 = sK2) | ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK2 @ Y0)))))) | ($false = (d_not @ $false)) | ($false = (in @ sK4 @ nat))),
% 18.49/2.96 inference(trivial_inequality_removal,[],[f1244])).
% 18.49/2.96 thf(f1244,plain,(
% 18.49/2.96 ($false = (d_not @ $false)) | ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK2 @ Y0)))))) | (sK4 = sK2) | ($false = $true) | ($false = (in @ sK4 @ nat))),
% 18.49/2.96 inference(forward_demodulation,[],[f1243,f987])).
% 18.49/2.96 thf(f1243,plain,(
% 18.49/2.96 ($false = (in @ sK2 @ nat)) | ($false = (in @ sK4 @ nat)) | ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK2 @ Y0)))))) | ($false = (d_not @ $false)) | (sK4 = sK2)),
% 18.49/2.96 inference(superposition,[],[f1056,f998])).
% 18.49/2.96 thf(f1010,plain,(
% 18.49/2.96 spl0_1 | spl0_2),
% 18.49/2.96 inference(avatar_split_clause,[],[f1001,f1007,f1003])).
% 18.49/2.96 thf(f1001,plain,(
% 18.49/2.96 ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK4 @ Y0)))))) | (sK4 = sK3)),
% 18.49/2.96 inference(equality_proxy_clausification,[],[f1000])).
% 18.49/2.96 thf(f1000,plain,(
% 18.49/2.96 ($true = (sK3 = sK4)) | ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK4 @ Y0))))))),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f999])).
% 18.49/2.96 thf(f999,plain,(
% 18.49/2.96 ($true = ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK4 @ Y0))))) => (sK3 = sK4)))),
% 18.49/2.96 inference(binary_proxy_clausification,[],[f996])).
% 18.49/2.96 % SZS output end Proof for theBenchmark
% 18.49/2.96 % (17865)------------------------------
% 18.49/2.96 % (17865)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 18.49/2.96 % (17865)Termination reason: Refutation
% 18.49/2.96
% 18.49/2.96 % (17865)Memory used [KB]: 8571
% 18.49/2.96 % (17865)Time elapsed: 0.434 s
% 18.49/2.96 % (17865)Instructions burned: 1332 (million)
% 18.49/2.96 % (17865)------------------------------
% 18.49/2.96 % (17865)------------------------------
% 18.49/2.96 % (17715)Success in time 2.676 s
%------------------------------------------------------------------------------