TSTP Solution File: NUM786^4 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : NUM786^4 : TPTP v8.2.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n022.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 13:17:44 EDT 2024
% Result : Theorem 251.48s 36.45s
% Output : Refutation 251.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM786^4 : TPTP v8.2.0. Released v7.1.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Jun 22 21:47:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a TH0_THM_EQU_NAR problem
% 0.12/0.35 Running higher-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.20/0.41 % (24574)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.20/0.41 % (24576)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)
% 0.20/0.41 % (24577)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.41 % (24578)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)
% 0.20/0.41 % (24579)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)
% 0.20/0.41 % (24580)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.20/0.41 % (24577)Instruction limit reached!
% 0.20/0.41 % (24577)------------------------------
% 0.20/0.41 % (24577)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.41 % (24577)Termination reason: Unknown
% 0.20/0.41 % (24577)Termination phase: shuffling
% 0.20/0.41
% 0.20/0.41 % (24578)Instruction limit reached!
% 0.20/0.41 % (24578)------------------------------
% 0.20/0.41 % (24578)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.41 % (24578)Termination reason: Unknown
% 0.20/0.41 % (24578)Termination phase: shuffling
% 0.20/0.41
% 0.20/0.41 % (24578)Memory used [KB]: 1791
% 0.20/0.41 % (24578)Time elapsed: 0.004 s
% 0.20/0.41 % (24578)Instructions burned: 3 (million)
% 0.20/0.41 % (24578)------------------------------
% 0.20/0.41 % (24578)------------------------------
% 0.20/0.41 % (24577)Memory used [KB]: 1791
% 0.20/0.41 % (24577)Time elapsed: 0.004 s
% 0.20/0.41 % (24577)Instructions burned: 2 (million)
% 0.20/0.41 % (24577)------------------------------
% 0.20/0.41 % (24577)------------------------------
% 0.20/0.42 % (24575)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)
% 0.20/0.42 % (24580)Instruction limit reached!
% 0.20/0.42 % (24580)------------------------------
% 0.20/0.42 % (24580)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.42 % (24580)Termination reason: Unknown
% 0.20/0.42 % (24580)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (24580)Memory used [KB]: 2046
% 0.20/0.42 % (24580)Time elapsed: 0.012 s
% 0.20/0.42 % (24580)Instructions burned: 18 (million)
% 0.20/0.42 % (24580)------------------------------
% 0.20/0.42 % (24580)------------------------------
% 0.20/0.42 % (24575)Instruction limit reached!
% 0.20/0.42 % (24575)------------------------------
% 0.20/0.42 % (24575)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.42 % (24575)Termination reason: Unknown
% 0.20/0.42 % (24575)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (24575)Memory used [KB]: 1918
% 0.20/0.42 % (24575)Time elapsed: 0.005 s
% 0.20/0.42 % (24575)Instructions burned: 5 (million)
% 0.20/0.42 % (24575)------------------------------
% 0.20/0.42 % (24575)------------------------------
% 0.20/0.43 % (24576)Instruction limit reached!
% 0.20/0.43 % (24576)------------------------------
% 0.20/0.43 % (24576)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.43 % (24576)Termination reason: Unknown
% 0.20/0.43 % (24576)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (24576)Memory used [KB]: 2302
% 0.20/0.43 % (24576)Time elapsed: 0.018 s
% 0.20/0.43 % (24576)Instructions burned: 28 (million)
% 0.20/0.43 % (24576)------------------------------
% 0.20/0.43 % (24576)------------------------------
% 0.20/0.43 % (24581)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)
% 0.20/0.43 % (24582)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)
% 0.20/0.43 % (24581)Instruction limit reached!
% 0.20/0.43 % (24581)------------------------------
% 0.20/0.43 % (24581)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.43 % (24581)Termination reason: Unknown
% 0.20/0.43 % (24581)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (24581)Memory used [KB]: 1791
% 0.20/0.43 % (24581)Time elapsed: 0.004 s
% 0.20/0.43 % (24581)Instructions burned: 3 (million)
% 0.20/0.43 % (24581)------------------------------
% 0.20/0.43 % (24581)------------------------------
% 0.20/0.44 % (24583)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)
% 0.20/0.44 % (24584)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)
% 0.20/0.44 % (24584)Instruction limit reached!
% 0.20/0.44 % (24584)------------------------------
% 0.20/0.44 % (24584)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.44 % (24584)Termination reason: Unknown
% 0.20/0.44 % (24584)Termination phase: shuffling
% 0.20/0.44
% 0.20/0.44 % (24584)Memory used [KB]: 1791
% 0.20/0.44 % (24584)Time elapsed: 0.004 s
% 0.20/0.44 % (24584)Instructions burned: 3 (million)
% 0.20/0.44 % (24584)------------------------------
% 0.20/0.44 % (24584)------------------------------
% 0.20/0.44 % (24585)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)
% 0.20/0.44 % (24583)Instruction limit reached!
% 0.20/0.44 % (24583)------------------------------
% 0.20/0.44 % (24583)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.44 % (24583)Termination reason: Unknown
% 0.20/0.44 % (24583)Termination phase: shuffling
% 0.20/0.44
% 0.20/0.44 % (24583)Memory used [KB]: 1918
% 0.20/0.44 % (24583)Time elapsed: 0.010 s
% 0.20/0.44 % (24583)Instructions burned: 15 (million)
% 0.20/0.44 % (24583)------------------------------
% 0.20/0.44 % (24583)------------------------------
% 0.20/0.45 % (24586)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.45 % (24582)Instruction limit reached!
% 0.20/0.45 % (24582)------------------------------
% 0.20/0.45 % (24582)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.45 % (24582)Termination reason: Unknown
% 0.20/0.45 % (24582)Termination phase: shuffling
% 0.20/0.45
% 0.20/0.45 % (24582)Memory used [KB]: 2430
% 0.20/0.45 % (24582)Time elapsed: 0.021 s
% 0.20/0.45 % (24582)Instructions burned: 37 (million)
% 0.20/0.45 % (24582)------------------------------
% 0.20/0.45 % (24582)------------------------------
% 0.20/0.45 % (24586)Instruction limit reached!
% 0.20/0.45 % (24586)------------------------------
% 0.20/0.45 % (24586)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.45 % (24586)Termination reason: Unknown
% 0.20/0.45 % (24586)Termination phase: shuffling
% 0.20/0.45
% 0.20/0.45 % (24586)Memory used [KB]: 1918
% 0.20/0.45 % (24586)Time elapsed: 0.006 s
% 0.20/0.45 % (24586)Instructions burned: 7 (million)
% 0.20/0.45 % (24586)------------------------------
% 0.20/0.45 % (24586)------------------------------
% 0.20/0.46 % (24587)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.46 % (24588)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)
% 0.20/0.46 % (24588)Instruction limit reached!
% 0.20/0.46 % (24588)------------------------------
% 0.20/0.46 % (24588)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.46 % (24588)Termination reason: Unknown
% 0.20/0.46 % (24588)Termination phase: shuffling
% 0.20/0.46
% 0.20/0.46 % (24588)Memory used [KB]: 1918
% 0.20/0.46 % (24588)Time elapsed: 0.004 s
% 0.20/0.46 % (24588)Instructions burned: 5 (million)
% 0.20/0.46 % (24588)------------------------------
% 0.20/0.46 % (24588)------------------------------
% 0.20/0.46 % (24589)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)
% 0.20/0.46 % (24587)Instruction limit reached!
% 0.20/0.46 % (24587)------------------------------
% 0.20/0.46 % (24587)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.46 % (24587)Termination reason: Unknown
% 0.20/0.46 % (24587)Termination phase: shuffling
% 0.20/0.46
% 0.20/0.46 % (24587)Memory used [KB]: 2046
% 0.20/0.46 % (24587)Time elapsed: 0.011 s
% 0.20/0.46 % (24587)Instructions burned: 16 (million)
% 0.20/0.46 % (24587)------------------------------
% 0.20/0.46 % (24587)------------------------------
% 0.20/0.47 % (24589)Instruction limit reached!
% 0.20/0.47 % (24589)------------------------------
% 0.20/0.47 % (24589)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.47 % (24589)Termination reason: Unknown
% 0.20/0.47 % (24589)Termination phase: shuffling
% 0.20/0.47
% 0.20/0.47 % (24589)Memory used [KB]: 1791
% 0.20/0.47 % (24589)Time elapsed: 0.004 s
% 0.20/0.47 % (24589)Instructions burned: 3 (million)
% 0.20/0.47 % (24589)------------------------------
% 0.20/0.47 % (24589)------------------------------
% 0.20/0.47 % (24590)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)
% 0.20/0.47 % (24579)Refutation not found, incomplete strategy
% 0.20/0.47 % (24579)------------------------------
% 0.20/0.47 % (24579)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.47 % (24579)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.47
% 0.20/0.47
% 0.20/0.47 % (24579)Memory used [KB]: 7164
% 0.20/0.47 % (24579)Time elapsed: 0.061 s
% 0.20/0.47 % (24579)Instructions burned: 114 (million)
% 0.20/0.47 % (24579)------------------------------
% 0.20/0.47 % (24579)------------------------------
% 0.20/0.47 % (24590)Instruction limit reached!
% 0.20/0.47 % (24590)------------------------------
% 0.20/0.47 % (24590)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.47 % (24590)Termination reason: Unknown
% 0.20/0.47 % (24590)Termination phase: shuffling
% 0.20/0.47
% 0.20/0.47 % (24590)Memory used [KB]: 1918
% 0.20/0.47 % (24590)Time elapsed: 0.006 s
% 0.20/0.47 % (24590)Instructions burned: 7 (million)
% 0.20/0.47 % (24590)------------------------------
% 0.20/0.47 % (24590)------------------------------
% 0.20/0.47 % (24591)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 (2998ds/3Mi)
% 0.20/0.47 % (24591)Instruction limit reached!
% 0.20/0.47 % (24591)------------------------------
% 0.20/0.47 % (24591)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.47 % (24591)Termination reason: Unknown
% 0.20/0.47 % (24591)Termination phase: shuffling
% 0.20/0.47
% 0.20/0.47 % (24591)Memory used [KB]: 1791
% 0.20/0.47 % (24591)Time elapsed: 0.003 s
% 0.20/0.47 % (24591)Instructions burned: 4 (million)
% 0.20/0.47 % (24591)------------------------------
% 0.20/0.47 % (24591)------------------------------
% 0.20/0.48 % (24592)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2998ds/4Mi)
% 0.20/0.48 % (24596)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 (2998ds/902Mi)
% 0.20/0.48 % (24593)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 (2998ds/18Mi)
% 0.20/0.48 % (24592)Instruction limit reached!
% 0.20/0.48 % (24592)------------------------------
% 0.20/0.48 % (24592)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.48 % (24592)Termination reason: Unknown
% 0.20/0.48 % (24592)Termination phase: shuffling
% 0.20/0.48
% 0.20/0.48 % (24592)Memory used [KB]: 1918
% 0.20/0.48 % (24592)Time elapsed: 0.005 s
% 0.20/0.48 % (24592)Instructions burned: 5 (million)
% 0.20/0.48 % (24592)------------------------------
% 0.20/0.48 % (24592)------------------------------
% 0.20/0.49 % (24594)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2998ds/710Mi)
% 0.20/0.49 % (24595)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.20/0.49 % (24595)Instruction limit reached!
% 0.20/0.49 % (24595)------------------------------
% 0.20/0.49 % (24595)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.49 % (24595)Termination reason: Unknown
% 0.20/0.49 % (24595)Termination phase: shuffling
% 0.20/0.49
% 0.20/0.49 % (24595)Memory used [KB]: 1918
% 0.20/0.49 % (24595)Time elapsed: 0.006 s
% 0.20/0.49 % (24595)Instructions burned: 7 (million)
% 0.20/0.49 % (24595)------------------------------
% 0.20/0.49 % (24595)------------------------------
% 0.20/0.49 % (24593)Instruction limit reached!
% 0.20/0.49 % (24593)------------------------------
% 0.20/0.49 % (24593)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.49 % (24593)Termination reason: Unknown
% 0.20/0.49 % (24593)Termination phase: shuffling
% 0.20/0.49
% 0.20/0.49 % (24593)Memory used [KB]: 2046
% 0.20/0.49 % (24593)Time elapsed: 0.012 s
% 0.20/0.49 % (24593)Instructions burned: 18 (million)
% 0.20/0.49 % (24593)------------------------------
% 0.20/0.49 % (24593)------------------------------
% 0.20/0.50 % (24574)Instruction limit reached!
% 0.20/0.50 % (24574)------------------------------
% 0.20/0.50 % (24574)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.50 % (24574)Termination reason: Unknown
% 0.20/0.50 % (24574)Termination phase: Function definition elimination
% 0.20/0.50
% 0.20/0.50 % (24574)Memory used [KB]: 2814
% 0.20/0.50 % (24574)Time elapsed: 0.088 s
% 0.20/0.50 % (24574)Instructions burned: 185 (million)
% 0.20/0.50 % (24574)------------------------------
% 0.20/0.50 % (24574)------------------------------
% 0.20/0.50 % (24597)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 (2998ds/21Mi)
% 0.20/0.51 % (24598)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.20/0.51 % (24599)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.20/0.51 % (24598)Instruction limit reached!
% 0.20/0.51 % (24598)------------------------------
% 0.20/0.51 % (24598)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.51 % (24598)Termination reason: Unknown
% 0.20/0.51 % (24598)Termination phase: shuffling
% 0.20/0.51
% 0.20/0.51 % (24598)Memory used [KB]: 1918
% 0.20/0.51 % (24598)Time elapsed: 0.004 s
% 0.20/0.51 % (24598)Instructions burned: 5 (million)
% 0.20/0.51 % (24598)------------------------------
% 0.20/0.51 % (24598)------------------------------
% 0.20/0.51 % (24599)Instruction limit reached!
% 0.20/0.51 % (24599)------------------------------
% 0.20/0.51 % (24599)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.51 % (24599)Termination reason: Unknown
% 0.20/0.51 % (24599)Termination phase: shuffling
% 0.20/0.51
% 0.20/0.51 % (24599)Memory used [KB]: 1918
% 0.20/0.51 % (24599)Time elapsed: 0.005 s
% 0.20/0.51 % (24599)Instructions burned: 6 (million)
% 0.20/0.51 % (24599)------------------------------
% 0.20/0.51 % (24599)------------------------------
% 0.20/0.51 % (24597)Instruction limit reached!
% 0.20/0.51 % (24597)------------------------------
% 0.20/0.51 % (24597)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.51 % (24597)Termination reason: Unknown
% 0.20/0.51 % (24597)Termination phase: shuffling
% 0.20/0.51
% 0.20/0.51 % (24597)Memory used [KB]: 2046
% 0.20/0.51 % (24597)Time elapsed: 0.013 s
% 0.20/0.51 % (24597)Instructions burned: 22 (million)
% 0.20/0.51 % (24597)------------------------------
% 0.20/0.51 % (24597)------------------------------
% 0.20/0.51 % (24600)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.20/0.52 % (24601)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2998ds/779Mi)
% 0.20/0.52 % (24602)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
% 0.20/0.52 % (24603)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.20/0.53 % (24602)Instruction limit reached!
% 0.20/0.53 % (24602)------------------------------
% 0.20/0.53 % (24602)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.53 % (24602)Termination reason: Unknown
% 0.20/0.53 % (24602)Termination phase: shuffling
% 0.20/0.53
% 0.20/0.53 % (24602)Memory used [KB]: 2046
% 0.20/0.53 % (24602)Time elapsed: 0.009 s
% 0.20/0.53 % (24602)Instructions burned: 20 (million)
% 0.20/0.53 % (24602)------------------------------
% 0.20/0.53 % (24602)------------------------------
% 0.20/0.54 % (24604)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.20/0.54 % (24596)Refutation not found, incomplete strategy
% 0.20/0.54 % (24596)------------------------------
% 0.20/0.54 % (24596)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.54 % (24596)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54
% 0.20/0.54 % (24596)Memory used [KB]: 7547
% 0.20/0.54 % (24596)Time elapsed: 0.065 s
% 0.20/0.54 % (24596)Instructions burned: 216 (million)
% 0.20/0.54 % (24596)------------------------------
% 0.20/0.54 % (24596)------------------------------
% 0.20/0.55 % (24604)Instruction limit reached!
% 0.20/0.55 % (24604)------------------------------
% 0.20/0.55 % (24604)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.55 % (24604)Termination reason: Unknown
% 0.20/0.55 % (24604)Termination phase: shuffling
% 0.20/0.55
% 0.20/0.55 % (24604)Memory used [KB]: 2046
% 0.20/0.55 % (24604)Time elapsed: 0.008 s
% 0.20/0.55 % (24604)Instructions burned: 20 (million)
% 0.20/0.55 % (24604)------------------------------
% 0.20/0.55 % (24604)------------------------------
% 0.20/0.55 % (24605)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.20/0.56 % (24605)Instruction limit reached!
% 0.20/0.56 % (24605)------------------------------
% 0.20/0.56 % (24605)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.56 % (24605)Termination reason: Unknown
% 0.20/0.56 % (24605)Termination phase: shuffling
% 0.20/0.56
% 0.20/0.56 % (24605)Memory used [KB]: 1791
% 0.20/0.56 % (24605)Time elapsed: 0.003 s
% 0.20/0.56 % (24605)Instructions burned: 4 (million)
% 0.20/0.56 % (24605)------------------------------
% 0.20/0.56 % (24605)------------------------------
% 0.20/0.56 % (24606)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.20/0.56 % (24607)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.20/0.57 % (24606)Instruction limit reached!
% 0.20/0.57 % (24606)------------------------------
% 0.20/0.57 % (24606)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.57 % (24606)Termination reason: Unknown
% 0.20/0.57 % (24606)Termination phase: shuffling
% 0.20/0.57
% 0.20/0.57 % (24606)Memory used [KB]: 2302
% 0.20/0.57 % (24606)Time elapsed: 0.011 s
% 0.20/0.57 % (24606)Instructions burned: 30 (million)
% 0.20/0.57 % (24606)------------------------------
% 0.20/0.57 % (24606)------------------------------
% 0.20/0.57 % (24608)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 (2997ds/100Mi)
% 0.20/0.58 % (24603)Refutation not found, incomplete strategy
% 0.20/0.58 % (24603)------------------------------
% 0.20/0.58 % (24603)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.58 % (24603)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.58
% 0.20/0.58
% 0.20/0.58 % (24603)Memory used [KB]: 7291
% 0.20/0.58 % (24603)Time elapsed: 0.053 s
% 0.20/0.58 % (24603)Instructions burned: 169 (million)
% 0.20/0.58 % (24603)------------------------------
% 0.20/0.58 % (24603)------------------------------
% 1.45/0.59 % (24609)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 (2997ds/3Mi)
% 1.45/0.59 % (24609)Instruction limit reached!
% 1.45/0.59 % (24609)------------------------------
% 1.45/0.59 % (24609)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.45/0.59 % (24609)Termination reason: Unknown
% 1.45/0.59 % (24609)Termination phase: shuffling
% 1.45/0.59
% 1.45/0.59 % (24609)Memory used [KB]: 1791
% 1.45/0.59 % (24609)Time elapsed: 0.003 s
% 1.45/0.59 % (24609)Instructions burned: 3 (million)
% 1.45/0.59 % (24609)------------------------------
% 1.45/0.59 % (24609)------------------------------
% 1.45/0.60 % (24610)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 (2997ds/20Mi)
% 1.57/0.60 % (24607)Instruction limit reached!
% 1.57/0.60 % (24607)------------------------------
% 1.57/0.60 % (24607)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.57/0.60 % (24607)Termination reason: Unknown
% 1.57/0.60 % (24607)Termination phase: Property scanning
% 1.57/0.60
% 1.57/0.60 % (24607)Memory used [KB]: 2814
% 1.57/0.60 % (24607)Time elapsed: 0.038 s
% 1.57/0.60 % (24607)Instructions burned: 127 (million)
% 1.57/0.60 % (24607)------------------------------
% 1.57/0.60 % (24607)------------------------------
% 1.57/0.60 % (24610)Instruction limit reached!
% 1.57/0.60 % (24610)------------------------------
% 1.57/0.60 % (24610)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.57/0.60 % (24610)Termination reason: Unknown
% 1.57/0.60 % (24610)Termination phase: shuffling
% 1.57/0.60
% 1.57/0.60 % (24610)Memory used [KB]: 2046
% 1.57/0.60 % (24610)Time elapsed: 0.008 s
% 1.57/0.60 % (24610)Instructions burned: 20 (million)
% 1.57/0.60 % (24610)------------------------------
% 1.57/0.60 % (24610)------------------------------
% 1.57/0.60 % (24608)Instruction limit reached!
% 1.57/0.60 % (24608)------------------------------
% 1.57/0.60 % (24608)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.57/0.60 % (24608)Termination reason: Unknown
% 1.57/0.60 % (24608)Termination phase: Property scanning
% 1.57/0.60
% 1.57/0.60 % (24608)Memory used [KB]: 2814
% 1.57/0.60 % (24608)Time elapsed: 0.030 s
% 1.57/0.60 % (24608)Instructions burned: 102 (million)
% 1.57/0.60 % (24608)------------------------------
% 1.57/0.60 % (24608)------------------------------
% 1.57/0.60 % (24600)Instruction limit reached!
% 1.57/0.60 % (24600)------------------------------
% 1.57/0.60 % (24600)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.57/0.60 % (24600)Termination reason: Unknown
% 1.57/0.60 % (24600)Termination phase: Function definition elimination
% 1.57/0.60
% 1.57/0.60 % (24600)Memory used [KB]: 2942
% 1.57/0.60 % (24600)Time elapsed: 0.095 s
% 1.57/0.60 % (24600)Instructions burned: 380 (million)
% 1.57/0.60 % (24600)------------------------------
% 1.57/0.60 % (24600)------------------------------
% 1.57/0.61 % (24611)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 1.57/0.61 % (24612)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 1.57/0.61 % (24613)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.57/0.61 % (24614)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2997ds/448Mi)
% 1.57/0.62 % (24613)Instruction limit reached!
% 1.57/0.62 % (24613)------------------------------
% 1.57/0.62 % (24613)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.57/0.62 % (24613)Termination reason: Unknown
% 1.57/0.62 % (24613)Termination phase: shuffling
% 1.57/0.62
% 1.57/0.62 % (24613)Memory used [KB]: 2430
% 1.57/0.62 % (24613)Time elapsed: 0.013 s
% 1.57/0.62 % (24613)Instructions burned: 39 (million)
% 1.57/0.62 % (24613)------------------------------
% 1.57/0.62 % (24613)------------------------------
% 1.73/0.63 % (24615)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2997ds/46Mi)
% 1.73/0.64 % (24611)Instruction limit reached!
% 1.73/0.64 % (24611)------------------------------
% 1.73/0.64 % (24611)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.73/0.64 % (24611)Termination reason: Unknown
% 1.73/0.64 % (24611)Termination phase: Property scanning
% 1.73/0.64
% 1.73/0.64 % (24611)Memory used [KB]: 2686
% 1.73/0.64 % (24611)Time elapsed: 0.027 s
% 1.73/0.64 % (24611)Instructions burned: 88 (million)
% 1.73/0.64 % (24611)------------------------------
% 1.73/0.64 % (24611)------------------------------
% 1.73/0.64 % (24612)Instruction limit reached!
% 1.73/0.64 % (24612)------------------------------
% 1.73/0.64 % (24612)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.73/0.64 % (24612)Termination reason: Unknown
% 1.73/0.64 % (24612)Termination phase: SInE selection
% 1.73/0.64
% 1.73/0.64 % (24612)Memory used [KB]: 2686
% 1.73/0.64 % (24612)Time elapsed: 0.032 s
% 1.73/0.64 % (24612)Instructions burned: 107 (million)
% 1.73/0.64 % (24612)------------------------------
% 1.73/0.64 % (24612)------------------------------
% 1.73/0.64 % (24616)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2997ds/98Mi)
% 1.73/0.65 % (24615)Instruction limit reached!
% 1.73/0.65 % (24615)------------------------------
% 1.73/0.65 % (24615)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.73/0.65 % (24615)Termination reason: Unknown
% 1.73/0.65 % (24615)Termination phase: shuffling
% 1.73/0.65
% 1.73/0.65 % (24615)Memory used [KB]: 2430
% 1.73/0.65 % (24615)Time elapsed: 0.016 s
% 1.73/0.65 % (24615)Instructions burned: 46 (million)
% 1.73/0.65 % (24615)------------------------------
% 1.73/0.65 % (24615)------------------------------
% 1.73/0.65 % (24617)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2997ds/507Mi)
% 1.73/0.66 % (24618)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 1.73/0.67 % (24616)Instruction limit reached!
% 1.73/0.67 % (24616)------------------------------
% 1.73/0.67 % (24616)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.73/0.67 % (24616)Termination reason: Unknown
% 1.73/0.67 % (24616)Termination phase: Property scanning
% 1.73/0.67
% 1.73/0.67 % (24616)Memory used [KB]: 2814
% 1.73/0.67 % (24616)Time elapsed: 0.029 s
% 1.73/0.67 % (24616)Instructions burned: 99 (million)
% 1.73/0.67 % (24616)------------------------------
% 1.73/0.67 % (24616)------------------------------
% 1.73/0.68 % (24619)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2996ds/39Mi)
% 1.73/0.69 % (24619)Instruction limit reached!
% 1.73/0.69 % (24619)------------------------------
% 1.73/0.69 % (24619)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.73/0.69 % (24619)Termination reason: Unknown
% 1.73/0.69 % (24619)Termination phase: shuffling
% 1.73/0.69
% 1.73/0.69 % (24619)Memory used [KB]: 2430
% 1.73/0.69 % (24619)Time elapsed: 0.014 s
% 1.73/0.69 % (24619)Instructions burned: 40 (million)
% 1.73/0.69 % (24619)------------------------------
% 1.73/0.69 % (24619)------------------------------
% 1.73/0.70 % (24618)Instruction limit reached!
% 1.73/0.70 % (24618)------------------------------
% 1.73/0.70 % (24618)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.73/0.70 % (24618)Termination reason: Unknown
% 1.73/0.70 % (24618)Termination phase: Function definition elimination
% 1.73/0.70
% 1.73/0.70 % (24618)Memory used [KB]: 2814
% 1.73/0.70 % (24618)Time elapsed: 0.044 s
% 1.73/0.70 % (24618)Instructions burned: 153 (million)
% 1.73/0.70 % (24618)------------------------------
% 1.73/0.70 % (24618)------------------------------
% 1.73/0.70 % (24620)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 (2996ds/6Mi)
% 1.73/0.70 % (24620)Instruction limit reached!
% 1.73/0.70 % (24620)------------------------------
% 1.73/0.70 % (24620)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.73/0.70 % (24620)Termination reason: Unknown
% 1.73/0.70 % (24620)Termination phase: shuffling
% 1.73/0.71
% 1.73/0.71 % (24620)Memory used [KB]: 1918
% 1.73/0.71 % (24620)Time elapsed: 0.004 s
% 1.73/0.71 % (24620)Instructions burned: 7 (million)
% 1.73/0.71 % (24620)------------------------------
% 1.73/0.71 % (24620)------------------------------
% 1.73/0.71 % (24621)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 (2996ds/1087Mi)
% 1.73/0.71 % (24585)Instruction limit reached!
% 1.73/0.71 % (24585)------------------------------
% 1.73/0.71 % (24585)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.73/0.71 % (24622)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2996ds/47Mi)
% 1.73/0.71 % (24585)Termination reason: Unknown
% 1.73/0.71 % (24585)Termination phase: Function definition elimination
% 1.73/0.71
% 1.73/0.71 % (24585)Memory used [KB]: 3070
% 1.73/0.71 % (24585)Time elapsed: 0.262 s
% 1.73/0.71 % (24585)Instructions burned: 1045 (million)
% 1.73/0.71 % (24585)------------------------------
% 1.73/0.71 % (24585)------------------------------
% 2.22/0.72 % (24623)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2996ds/44Mi)
% 2.22/0.72 % (24594)Instruction limit reached!
% 2.22/0.72 % (24594)------------------------------
% 2.22/0.72 % (24594)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.22/0.72 % (24594)Termination reason: Unknown
% 2.22/0.72 % (24594)Termination phase: Saturation
% 2.22/0.72
% 2.22/0.72 % (24594)Memory used [KB]: 9083
% 2.22/0.72 % (24594)Time elapsed: 0.241 s
% 2.22/0.72 % (24594)Instructions burned: 712 (million)
% 2.22/0.72 % (24594)------------------------------
% 2.22/0.72 % (24594)------------------------------
% 2.22/0.73 % (24622)Instruction limit reached!
% 2.22/0.73 % (24622)------------------------------
% 2.22/0.73 % (24622)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.22/0.73 % (24622)Termination reason: Unknown
% 2.22/0.73 % (24622)Termination phase: shuffling
% 2.22/0.73
% 2.22/0.73 % (24622)Memory used [KB]: 2430
% 2.22/0.73 % (24622)Time elapsed: 0.016 s
% 2.22/0.73 % (24622)Instructions burned: 47 (million)
% 2.22/0.73 % (24622)------------------------------
% 2.22/0.73 % (24622)------------------------------
% 2.22/0.73 % (24624)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2996ds/432Mi)
% 2.22/0.74 % (24625)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2996ds/62Mi)
% 2.22/0.74 % (24623)Instruction limit reached!
% 2.22/0.74 % (24623)------------------------------
% 2.22/0.74 % (24623)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.22/0.74 % (24623)Termination reason: Unknown
% 2.22/0.74 % (24623)Termination phase: shuffling
% 2.22/0.74
% 2.22/0.74 % (24623)Memory used [KB]: 2558
% 2.22/0.74 % (24623)Time elapsed: 0.015 s
% 2.22/0.74 % (24623)Instructions burned: 46 (million)
% 2.22/0.74 % (24623)------------------------------
% 2.22/0.74 % (24623)------------------------------
% 2.22/0.75 % (24614)Instruction limit reached!
% 2.22/0.75 % (24614)------------------------------
% 2.22/0.75 % (24614)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.22/0.75 % (24614)Termination reason: Unknown
% 2.22/0.75 % (24614)Termination phase: Saturation
% 2.22/0.75
% 2.22/0.75 % (24614)Memory used [KB]: 8699
% 2.22/0.75 % (24614)Time elapsed: 0.155 s
% 2.22/0.75 % (24614)Instructions burned: 450 (million)
% 2.22/0.75 % (24614)------------------------------
% 2.22/0.75 % (24614)------------------------------
% 2.22/0.75 % (24626)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)
% 2.22/0.75 % (24601)Instruction limit reached!
% 2.22/0.75 % (24601)------------------------------
% 2.22/0.75 % (24601)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.22/0.75 % (24601)Termination reason: Unknown
% 2.22/0.75 % (24601)Termination phase: Saturation
% 2.22/0.75
% 2.22/0.75 % (24601)Memory used [KB]: 11129
% 2.22/0.75 % (24601)Time elapsed: 0.227 s
% 2.22/0.75 % (24601)Instructions burned: 781 (million)
% 2.22/0.75 % (24601)------------------------------
% 2.22/0.75 % (24601)------------------------------
% 2.22/0.75 % (24621)Refutation not found, incomplete strategy
% 2.22/0.75 % (24621)------------------------------
% 2.22/0.75 % (24621)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.22/0.75 % (24621)Termination reason: Refutation not found, incomplete strategy
% 2.22/0.75
% 2.22/0.75
% 2.22/0.75 % (24621)Memory used [KB]: 7291
% 2.22/0.75 % (24621)Time elapsed: 0.048 s
% 2.22/0.75 % (24621)Instructions burned: 154 (million)
% 2.22/0.75 % (24621)------------------------------
% 2.22/0.75 % (24621)------------------------------
% 2.22/0.76 % (24627)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2996ds/96Mi)
% 2.22/0.76 % (24625)Instruction limit reached!
% 2.22/0.76 % (24625)------------------------------
% 2.22/0.76 % (24625)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.22/0.76 % (24625)Termination reason: Unknown
% 2.22/0.76 % (24625)Termination phase: Property scanning
% 2.22/0.76
% 2.22/0.76 % (24625)Memory used [KB]: 2686
% 2.22/0.76 % (24625)Time elapsed: 0.020 s
% 2.22/0.76 % (24625)Instructions burned: 64 (million)
% 2.22/0.76 % (24625)------------------------------
% 2.22/0.76 % (24625)------------------------------
% 2.22/0.76 % (24626)Instruction limit reached!
% 2.22/0.76 % (24626)------------------------------
% 2.22/0.76 % (24626)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.22/0.76 % (24626)Termination reason: Unknown
% 2.22/0.76 % (24626)Termination phase: shuffling
% 2.22/0.76
% 2.22/0.76 % (24626)Memory used [KB]: 2302
% 2.22/0.76 % (24626)Time elapsed: 0.012 s
% 2.22/0.76 % (24626)Instructions burned: 33 (million)
% 2.22/0.76 % (24626)------------------------------
% 2.22/0.76 % (24626)------------------------------
% 2.22/0.76 % (24628)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)
% 2.22/0.76 % (24617)Instruction limit reached!
% 2.22/0.76 % (24617)------------------------------
% 2.22/0.76 % (24617)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.22/0.76 % (24617)Termination reason: Unknown
% 2.22/0.76 % (24617)Termination phase: Function definition elimination
% 2.22/0.76
% 2.22/0.76 % (24617)Memory used [KB]: 3198
% 2.22/0.76 % (24617)Time elapsed: 0.114 s
% 2.22/0.76 % (24617)Instructions burned: 510 (million)
% 2.22/0.76 % (24617)------------------------------
% 2.22/0.76 % (24617)------------------------------
% 2.22/0.76 % (24629)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 (2995ds/71Mi)
% 2.22/0.77 % (24630)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2995ds/83Mi)
% 2.22/0.77 % (24631)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2995ds/11Mi)
% 2.22/0.77 % (24631)Instruction limit reached!
% 2.22/0.77 % (24631)------------------------------
% 2.22/0.77 % (24631)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.22/0.77 % (24631)Termination reason: Unknown
% 2.22/0.77 % (24631)Termination phase: shuffling
% 2.22/0.77
% 2.22/0.77 % (24631)Memory used [KB]: 1918
% 2.22/0.77 % (24631)Time elapsed: 0.005 s
% 2.22/0.77 % (24631)Instructions burned: 11 (million)
% 2.22/0.77 % (24631)------------------------------
% 2.22/0.77 % (24631)------------------------------
% 2.22/0.77 % (24632)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 (2995ds/41Mi)
% 2.22/0.78 % (24633)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2995ds/6Mi)
% 2.22/0.78 % (24633)Instruction limit reached!
% 2.22/0.78 % (24633)------------------------------
% 2.22/0.78 % (24633)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.22/0.78 % (24633)Termination reason: Unknown
% 2.22/0.78 % (24633)Termination phase: shuffling
% 2.22/0.78
% 2.22/0.78 % (24633)Memory used [KB]: 1918
% 2.22/0.78 % (24633)Time elapsed: 0.004 s
% 2.22/0.78 % (24633)Instructions burned: 6 (million)
% 2.22/0.78 % (24633)------------------------------
% 2.22/0.78 % (24633)------------------------------
% 2.22/0.78 % (24627)Instruction limit reached!
% 2.22/0.78 % (24627)------------------------------
% 2.22/0.78 % (24627)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.22/0.78 % (24627)Termination reason: Unknown
% 2.22/0.78 % (24627)Termination phase: Property scanning
% 2.22/0.78
% 2.22/0.78 % (24627)Memory used [KB]: 2686
% 2.22/0.78 % (24627)Time elapsed: 0.030 s
% 2.22/0.78 % (24627)Instructions burned: 98 (million)
% 2.22/0.78 % (24627)------------------------------
% 2.22/0.78 % (24627)------------------------------
% 2.22/0.79 % (24632)Instruction limit reached!
% 2.22/0.79 % (24632)------------------------------
% 2.22/0.79 % (24632)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.22/0.79 % (24632)Termination reason: Unknown
% 2.22/0.79 % (24632)Termination phase: shuffling
% 2.22/0.79
% 2.22/0.79 % (24632)Memory used [KB]: 2430
% 2.22/0.79 % (24632)Time elapsed: 0.014 s
% 2.22/0.79 % (24632)Instructions burned: 42 (million)
% 2.22/0.79 % (24632)------------------------------
% 2.22/0.79 % (24632)------------------------------
% 2.22/0.79 % (24629)Instruction limit reached!
% 2.22/0.79 % (24629)------------------------------
% 2.22/0.79 % (24629)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.22/0.79 % (24629)Termination reason: Unknown
% 2.22/0.79 % (24629)Termination phase: Property scanning
% 2.22/0.79
% 2.22/0.79 % (24629)Memory used [KB]: 2686
% 2.22/0.79 % (24629)Time elapsed: 0.023 s
% 2.22/0.79 % (24629)Instructions burned: 71 (million)
% 2.22/0.79 % (24629)------------------------------
% 2.22/0.79 % (24629)------------------------------
% 2.22/0.79 % (24630)Instruction limit reached!
% 2.22/0.79 % (24630)------------------------------
% 2.22/0.79 % (24630)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.22/0.79 % (24630)Termination reason: Unknown
% 2.22/0.79 % (24630)Termination phase: Property scanning
% 2.22/0.79
% 2.22/0.79 % (24630)Memory used [KB]: 2686
% 2.22/0.79 % (24630)Time elapsed: 0.026 s
% 2.22/0.79 % (24630)Instructions burned: 83 (million)
% 2.22/0.79 % (24630)------------------------------
% 2.22/0.79 % (24630)------------------------------
% 2.22/0.79 % (24634)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2995ds/150Mi)
% 2.85/0.79 % (24635)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 (2995ds/343Mi)
% 2.85/0.79 % (24636)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 (2995ds/109Mi)
% 2.85/0.79 % (24637)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 (2995ds/253Mi)
% 2.85/0.80 % (24638)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2995ds/140Mi)
% 2.85/0.83 % (24636)Instruction limit reached!
% 2.85/0.83 % (24636)------------------------------
% 2.85/0.83 % (24636)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.85/0.83 % (24636)Termination reason: Unknown
% 2.85/0.83 % (24636)Termination phase: SInE selection
% 2.85/0.83
% 2.85/0.83 % (24636)Memory used [KB]: 2686
% 2.85/0.83 % (24636)Time elapsed: 0.033 s
% 2.85/0.83 % (24636)Instructions burned: 110 (million)
% 2.85/0.83 % (24636)------------------------------
% 2.85/0.83 % (24636)------------------------------
% 2.85/0.83 % (24624)Instruction limit reached!
% 2.85/0.83 % (24624)------------------------------
% 2.85/0.83 % (24624)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.85/0.83 % (24624)Termination reason: Unknown
% 2.85/0.83 % (24624)Termination phase: Function definition elimination
% 2.85/0.83
% 2.85/0.83 % (24624)Memory used [KB]: 3070
% 2.85/0.83 % (24624)Time elapsed: 0.100 s
% 2.85/0.83 % (24624)Instructions burned: 436 (million)
% 2.85/0.83 % (24624)------------------------------
% 2.85/0.83 % (24624)------------------------------
% 2.85/0.83 % (24638)Refutation not found, incomplete strategy
% 2.85/0.83 % (24638)------------------------------
% 2.85/0.83 % (24638)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.85/0.83 % (24638)Termination reason: Refutation not found, incomplete strategy
% 2.85/0.83
% 2.85/0.83
% 2.85/0.83 % (24638)Memory used [KB]: 7291
% 2.85/0.83 % (24638)Time elapsed: 0.035 s
% 2.85/0.83 % (24638)Instructions burned: 120 (million)
% 2.85/0.83 % (24638)------------------------------
% 2.85/0.83 % (24638)------------------------------
% 2.85/0.83 % (24634)Instruction limit reached!
% 2.85/0.83 % (24634)------------------------------
% 2.85/0.83 % (24634)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.85/0.83 % (24634)Termination reason: Unknown
% 2.85/0.83 % (24634)Termination phase: Function definition elimination
% 2.85/0.83
% 2.85/0.83 % (24634)Memory used [KB]: 2814
% 2.85/0.83 % (24634)Time elapsed: 0.043 s
% 2.85/0.83 % (24634)Instructions burned: 151 (million)
% 2.85/0.83 % (24634)------------------------------
% 2.85/0.83 % (24634)------------------------------
% 2.85/0.84 % (24639)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 (2995ds/614Mi)
% 2.85/0.84 % (24642)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)
% 2.85/0.84 % (24640)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 (2995ds/202Mi)
% 2.85/0.84 % (24641)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 (2995ds/339Mi)
% 2.85/0.86 % (24637)Refutation not found, incomplete strategy
% 2.85/0.86 % (24637)------------------------------
% 2.85/0.86 % (24637)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.85/0.86 % (24637)Termination reason: Refutation not found, incomplete strategy
% 2.85/0.86
% 2.85/0.86
% 2.85/0.86 % (24628)Instruction limit reached!
% 2.85/0.86 % (24628)------------------------------
% 2.85/0.86 % (24628)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.85/0.86 % (24628)Termination reason: Unknown
% 2.85/0.86 % (24628)Termination phase: Function definition elimination
% 2.85/0.86
% 2.85/0.86 % (24628)Memory used [KB]: 3070
% 2.85/0.86 % (24628)Time elapsed: 0.105 s
% 2.85/0.86 % (24628)Instructions burned: 457 (million)
% 2.85/0.86 % (24628)------------------------------
% 2.85/0.86 % (24628)------------------------------
% 2.85/0.86 % (24637)Memory used [KB]: 7803
% 2.85/0.86 % (24637)Time elapsed: 0.067 s
% 2.85/0.86 % (24637)Instructions burned: 230 (million)
% 2.85/0.86 % (24637)------------------------------
% 2.85/0.86 % (24637)------------------------------
% 3.27/0.87 % (24643)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 (2994ds/134Mi)
% 3.27/0.87 % (24644)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2994ds/298Mi)
% 3.27/0.87 % (24640)Refutation not found, incomplete strategy
% 3.27/0.87 % (24640)------------------------------
% 3.27/0.87 % (24640)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.27/0.87 % (24640)Termination reason: Refutation not found, incomplete strategy
% 3.27/0.87
% 3.27/0.87
% 3.27/0.88 % (24640)Memory used [KB]: 7164
% 3.27/0.88 % (24640)Time elapsed: 0.035 s
% 3.27/0.88 % (24640)Instructions burned: 124 (million)
% 3.27/0.88 % (24640)------------------------------
% 3.27/0.88 % (24640)------------------------------
% 3.27/0.88 % (24645)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2994ds/192Mi)
% 3.27/0.89 % (24635)Instruction limit reached!
% 3.27/0.89 % (24635)------------------------------
% 3.27/0.89 % (24635)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.27/0.89 % (24635)Termination reason: Unknown
% 3.27/0.89 % (24635)Termination phase: Saturation
% 3.27/0.89
% 3.27/0.89 % (24635)Memory used [KB]: 7931
% 3.27/0.89 % (24635)Time elapsed: 0.096 s
% 3.27/0.89 % (24635)Instructions burned: 346 (million)
% 3.27/0.89 % (24635)------------------------------
% 3.27/0.89 % (24635)------------------------------
% 3.27/0.90 % (24646)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 (2994ds/258Mi)
% 3.42/0.90 % (24642)Instruction limit reached!
% 3.42/0.90 % (24642)------------------------------
% 3.42/0.90 % (24642)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.42/0.90 % (24642)Termination reason: Unknown
% 3.42/0.90 % (24642)Termination phase: Function definition elimination
% 3.42/0.90
% 3.42/0.90 % (24642)Memory used [KB]: 3070
% 3.42/0.90 % (24642)Time elapsed: 0.063 s
% 3.42/0.90 % (24642)Instructions burned: 285 (million)
% 3.42/0.90 % (24642)------------------------------
% 3.42/0.90 % (24642)------------------------------
% 3.42/0.90 % (24643)Instruction limit reached!
% 3.42/0.90 % (24643)------------------------------
% 3.42/0.90 % (24643)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.42/0.90 % (24643)Termination reason: Unknown
% 3.42/0.90 % (24643)Termination phase: Property scanning
% 3.42/0.90
% 3.42/0.90 % (24643)Memory used [KB]: 2814
% 3.42/0.90 % (24643)Time elapsed: 0.036 s
% 3.42/0.90 % (24643)Instructions burned: 135 (million)
% 3.42/0.90 % (24643)------------------------------
% 3.42/0.90 % (24643)------------------------------
% 3.42/0.91 % (24647)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 (2994ds/90Mi)
% 3.42/0.91 % (24648)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 (2994ds/231Mi)
% 3.42/0.92 % (24641)Instruction limit reached!
% 3.42/0.92 % (24641)------------------------------
% 3.42/0.92 % (24641)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.42/0.92 % (24641)Termination reason: Unknown
% 3.42/0.92 % (24641)Termination phase: Function definition elimination
% 3.42/0.92
% 3.42/0.92 % (24641)Memory used [KB]: 2814
% 3.42/0.92 % (24641)Time elapsed: 0.078 s
% 3.42/0.92 % (24641)Instructions burned: 339 (million)
% 3.42/0.92 % (24641)------------------------------
% 3.42/0.92 % (24641)------------------------------
% 3.63/0.93 % (24649)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 (2994ds/458Mi)
% 3.63/0.93 % (24645)Instruction limit reached!
% 3.63/0.93 % (24645)------------------------------
% 3.63/0.93 % (24645)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.63/0.93 % (24645)Termination reason: Unknown
% 3.63/0.93 % (24645)Termination phase: Function definition elimination
% 3.63/0.93
% 3.63/0.93 % (24645)Memory used [KB]: 2814
% 3.63/0.93 % (24645)Time elapsed: 0.047 s
% 3.63/0.93 % (24645)Instructions burned: 192 (million)
% 3.63/0.93 % (24645)------------------------------
% 3.63/0.93 % (24645)------------------------------
% 3.63/0.93 % (24644)Instruction limit reached!
% 3.63/0.93 % (24644)------------------------------
% 3.63/0.93 % (24644)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.63/0.93 % (24644)Termination reason: Unknown
% 3.63/0.93 % (24644)Termination phase: Function definition elimination
% 3.63/0.93
% 3.63/0.93 % (24644)Memory used [KB]: 3070
% 3.63/0.93 % (24644)Time elapsed: 0.066 s
% 3.63/0.93 % (24644)Instructions burned: 302 (million)
% 3.63/0.93 % (24644)------------------------------
% 3.63/0.93 % (24644)------------------------------
% 3.63/0.94 % (24647)Instruction limit reached!
% 3.63/0.94 % (24647)------------------------------
% 3.63/0.94 % (24647)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.63/0.94 % (24647)Termination reason: Unknown
% 3.63/0.94 % (24647)Termination phase: Property scanning
% 3.63/0.94
% 3.63/0.94 % (24647)Memory used [KB]: 2686
% 3.63/0.94 % (24647)Time elapsed: 0.025 s
% 3.63/0.94 % (24647)Instructions burned: 91 (million)
% 3.63/0.94 % (24647)------------------------------
% 3.63/0.94 % (24647)------------------------------
% 3.63/0.94 % (24650)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 (2994ds/31Mi)
% 3.63/0.94 % (24651)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)
% 3.63/0.94 % (24652)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)
% 3.63/0.95 % (24650)Instruction limit reached!
% 3.63/0.95 % (24650)------------------------------
% 3.63/0.95 % (24650)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.63/0.95 % (24650)Termination reason: Unknown
% 3.63/0.95 % (24650)Termination phase: shuffling
% 3.63/0.95
% 3.63/0.95 % (24650)Memory used [KB]: 2302
% 3.63/0.95 % (24650)Time elapsed: 0.010 s
% 3.63/0.95 % (24650)Instructions burned: 32 (million)
% 3.63/0.95 % (24650)------------------------------
% 3.63/0.95 % (24650)------------------------------
% 3.63/0.96 % (24653)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)
% 3.63/0.96 % (24639)Instruction limit reached!
% 3.63/0.96 % (24639)------------------------------
% 3.63/0.96 % (24639)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.63/0.96 % (24639)Termination reason: Unknown
% 3.63/0.96 % (24639)Termination phase: Function definition elimination
% 3.63/0.96
% 3.63/0.96 % (24639)Memory used [KB]: 3198
% 3.63/0.96 % (24639)Time elapsed: 0.127 s
% 3.63/0.96 % (24639)Instructions burned: 618 (million)
% 3.63/0.96 % (24639)------------------------------
% 3.63/0.96 % (24639)------------------------------
% 3.63/0.96 % (24646)Instruction limit reached!
% 3.63/0.96 % (24646)------------------------------
% 3.63/0.96 % (24646)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.63/0.96 % (24646)Termination reason: Unknown
% 3.63/0.96 % (24646)Termination phase: Saturation
% 3.63/0.96
% 3.63/0.96 % (24646)Memory used [KB]: 3198
% 3.63/0.96 % (24646)Time elapsed: 0.067 s
% 3.63/0.96 % (24646)Instructions burned: 261 (million)
% 3.63/0.96 % (24646)------------------------------
% 3.63/0.96 % (24646)------------------------------
% 3.63/0.96 % (24648)Instruction limit reached!
% 3.63/0.96 % (24648)------------------------------
% 3.63/0.96 % (24648)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.63/0.96 % (24648)Termination reason: Unknown
% 3.63/0.96 % (24648)Termination phase: Function definition elimination
% 3.63/0.96
% 3.63/0.96 % (24648)Memory used [KB]: 3070
% 3.63/0.96 % (24648)Time elapsed: 0.053 s
% 3.63/0.96 % (24648)Instructions burned: 232 (million)
% 3.63/0.96 % (24648)------------------------------
% 3.63/0.96 % (24648)------------------------------
% 3.63/0.97 % (24654)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)
% 3.63/0.97 % (24655)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)
% 3.63/0.97 % (24656)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)
% 3.63/1.00 % (24656)Instruction limit reached!
% 3.63/1.00 % (24656)------------------------------
% 3.63/1.00 % (24656)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.63/1.00 % (24656)Termination reason: Unknown
% 3.63/1.00 % (24656)Termination phase: Property scanning
% 3.63/1.00
% 3.63/1.00 % (24656)Memory used [KB]: 2686
% 3.63/1.00 % (24656)Time elapsed: 0.023 s
% 3.63/1.00 % (24656)Instructions burned: 80 (million)
% 3.63/1.00 % (24656)------------------------------
% 3.63/1.00 % (24656)------------------------------
% 3.63/1.00 % (24653)Instruction limit reached!
% 3.63/1.00 % (24653)------------------------------
% 3.63/1.00 % (24653)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.63/1.00 % (24653)Termination reason: Unknown
% 3.63/1.00 % (24653)Termination phase: Function definition elimination
% 3.63/1.00
% 3.63/1.00 % (24653)Memory used [KB]: 2814
% 3.63/1.00 % (24653)Time elapsed: 0.046 s
% 3.63/1.00 % (24653)Instructions burned: 187 (million)
% 3.63/1.00 % (24653)------------------------------
% 3.63/1.00 % (24653)------------------------------
% 3.63/1.00 % (24657)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 (2993ds/216Mi)
% 3.63/1.01 % (24655)Instruction limit reached!
% 3.63/1.01 % (24655)------------------------------
% 3.63/1.01 % (24655)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.63/1.01 % (24655)Termination reason: Unknown
% 3.63/1.01 % (24655)Termination phase: Function definition elimination
% 3.63/1.01
% 3.63/1.01 % (24655)Memory used [KB]: 3070
% 3.63/1.01 % (24655)Time elapsed: 0.039 s
% 3.63/1.01 % (24655)Instructions burned: 155 (million)
% 3.63/1.01 % (24655)------------------------------
% 3.63/1.01 % (24655)------------------------------
% 3.63/1.01 % (24658)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 (2993ds/114Mi)
% 3.63/1.02 % (24654)Instruction limit reached!
% 3.63/1.02 % (24654)------------------------------
% 3.63/1.02 % (24654)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.63/1.02 % (24654)Termination reason: Unknown
% 3.63/1.02 % (24654)Termination phase: Property scanning
% 3.63/1.02
% 3.63/1.02 % (24654)Memory used [KB]: 2814
% 3.63/1.02 % (24654)Time elapsed: 0.048 s
% 3.63/1.02 % (24654)Instructions burned: 184 (million)
% 3.63/1.02 % (24654)------------------------------
% 3.63/1.02 % (24654)------------------------------
% 3.63/1.02 % (24659)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 (2993ds/922Mi)
% 3.63/1.02 % (24651)Instruction limit reached!
% 3.63/1.02 % (24651)------------------------------
% 3.63/1.02 % (24651)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.63/1.02 % (24651)Termination reason: Unknown
% 3.63/1.02 % (24651)Termination phase: Saturation
% 3.63/1.02
% 3.63/1.02 % (24651)Memory used [KB]: 7931
% 3.63/1.02 % (24651)Time elapsed: 0.078 s
% 3.63/1.02 % (24651)Instructions burned: 298 (million)
% 3.63/1.02 % (24651)------------------------------
% 3.63/1.02 % (24651)------------------------------
% 4.25/1.02 % (24660)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)
% 4.25/1.02 % (24649)Instruction limit reached!
% 4.25/1.02 % (24649)------------------------------
% 4.25/1.02 % (24649)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.25/1.02 % (24649)Termination reason: Unknown
% 4.25/1.02 % (24649)Termination phase: Function definition elimination
% 4.25/1.02
% 4.25/1.02 % (24649)Memory used [KB]: 2942
% 4.25/1.02 % (24649)Time elapsed: 0.099 s
% 4.25/1.02 % (24649)Instructions burned: 463 (million)
% 4.25/1.02 % (24649)------------------------------
% 4.25/1.02 % (24649)------------------------------
% 4.25/1.03 % (24661)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)
% 4.25/1.03 % (24662)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)
% 4.25/1.04 % (24658)Instruction limit reached!
% 4.25/1.04 % (24658)------------------------------
% 4.25/1.04 % (24658)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.25/1.04 % (24658)Termination reason: Unknown
% 4.25/1.04 % (24658)Termination phase: Property scanning
% 4.25/1.04
% 4.25/1.04 % (24658)Memory used [KB]: 2814
% 4.25/1.04 % (24658)Time elapsed: 0.031 s
% 4.25/1.04 % (24658)Instructions burned: 114 (million)
% 4.25/1.04 % (24658)------------------------------
% 4.25/1.04 % (24658)------------------------------
% 4.25/1.05 % (24662)Instruction limit reached!
% 4.25/1.05 % (24662)------------------------------
% 4.25/1.05 % (24662)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.25/1.05 % (24662)Termination reason: Unknown
% 4.25/1.05 % (24662)Termination phase: shuffling
% 4.25/1.05
% 4.25/1.05 % (24662)Memory used [KB]: 2558
% 4.25/1.05 % (24662)Time elapsed: 0.015 s
% 4.25/1.05 % (24662)Instructions burned: 52 (million)
% 4.25/1.05 % (24662)------------------------------
% 4.25/1.05 % (24662)------------------------------
% 4.25/1.05 % (24663)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)
% 4.25/1.06 % (24664)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)
% 4.25/1.06 % (24657)Instruction limit reached!
% 4.25/1.06 % (24657)------------------------------
% 4.25/1.06 % (24657)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.25/1.06 % (24657)Termination reason: Unknown
% 4.25/1.06 % (24657)Termination phase: Property scanning
% 4.25/1.06
% 4.25/1.06 % (24657)Memory used [KB]: 3070
% 4.25/1.06 % (24657)Time elapsed: 0.055 s
% 4.25/1.06 % (24657)Instructions burned: 219 (million)
% 4.25/1.06 % (24657)------------------------------
% 4.25/1.06 % (24657)------------------------------
% 4.25/1.07 % (24665)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 (2992ds/267Mi)
% 4.25/1.07 % (24660)Instruction limit reached!
% 4.25/1.07 % (24660)------------------------------
% 4.25/1.07 % (24660)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.25/1.07 % (24660)Termination reason: Unknown
% 4.25/1.07 % (24660)Termination phase: Function definition elimination
% 4.25/1.07
% 4.25/1.07 % (24660)Memory used [KB]: 3070
% 4.25/1.07 % (24660)Time elapsed: 0.044 s
% 4.25/1.07 % (24660)Instructions burned: 182 (million)
% 4.25/1.07 % (24660)------------------------------
% 4.25/1.07 % (24660)------------------------------
% 4.25/1.07 % (24661)Instruction limit reached!
% 4.25/1.07 % (24661)------------------------------
% 4.25/1.07 % (24661)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.25/1.07 % (24661)Termination reason: Unknown
% 4.25/1.07 % (24661)Termination phase: Function definition elimination
% 4.25/1.07
% 4.25/1.07 % (24661)Memory used [KB]: 3070
% 4.25/1.07 % (24661)Time elapsed: 0.042 s
% 4.25/1.07 % (24661)Instructions burned: 164 (million)
% 4.25/1.07 % (24661)------------------------------
% 4.25/1.07 % (24661)------------------------------
% 4.25/1.08 % (24666)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 (2992ds/204Mi)
% 4.25/1.08 % (24667)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 (2992ds/26Mi)
% 4.25/1.09 % (24667)Instruction limit reached!
% 4.25/1.09 % (24667)------------------------------
% 4.25/1.09 % (24667)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.25/1.09 % (24667)Termination reason: Unknown
% 4.25/1.09 % (24667)Termination phase: shuffling
% 4.25/1.09
% 4.25/1.09 % (24667)Memory used [KB]: 2302
% 4.25/1.09 % (24667)Time elapsed: 0.009 s
% 4.25/1.09 % (24667)Instructions burned: 29 (million)
% 4.25/1.09 % (24667)------------------------------
% 4.25/1.09 % (24667)------------------------------
% 4.68/1.10 % (24668)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 (2992ds/53Mi)
% 4.68/1.11 % (24668)Instruction limit reached!
% 4.68/1.11 % (24668)------------------------------
% 4.68/1.11 % (24668)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.68/1.11 % (24668)Termination reason: Unknown
% 4.68/1.11 % (24668)Termination phase: shuffling
% 4.68/1.11
% 4.68/1.11 % (24668)Memory used [KB]: 2686
% 4.68/1.11 % (24668)Time elapsed: 0.016 s
% 4.68/1.11 % (24668)Instructions burned: 56 (million)
% 4.68/1.11 % (24668)------------------------------
% 4.68/1.11 % (24668)------------------------------
% 4.68/1.12 % (24669)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 (2992ds/4436Mi)
% 4.68/1.13 % (24665)Instruction limit reached!
% 4.68/1.13 % (24665)------------------------------
% 4.68/1.13 % (24665)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.68/1.13 % (24665)Termination reason: Unknown
% 4.68/1.13 % (24665)Termination phase: Function definition elimination
% 4.68/1.13
% 4.68/1.13 % (24665)Memory used [KB]: 3070
% 4.68/1.13 % (24665)Time elapsed: 0.060 s
% 4.68/1.13 % (24665)Instructions burned: 271 (million)
% 4.68/1.13 % (24665)------------------------------
% 4.68/1.13 % (24665)------------------------------
% 4.68/1.13 % (24663)Instruction limit reached!
% 4.68/1.13 % (24663)------------------------------
% 4.68/1.13 % (24663)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.68/1.13 % (24663)Termination reason: Unknown
% 4.68/1.13 % (24663)Termination phase: Function definition elimination
% 4.68/1.13
% 4.68/1.13 % (24663)Memory used [KB]: 2942
% 4.68/1.13 % (24663)Time elapsed: 0.079 s
% 4.68/1.13 % (24663)Instructions burned: 373 (million)
% 4.68/1.13 % (24663)------------------------------
% 4.68/1.13 % (24663)------------------------------
% 4.68/1.13 % (24666)Instruction limit reached!
% 4.68/1.13 % (24666)------------------------------
% 4.68/1.13 % (24666)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.68/1.13 % (24666)Termination reason: Unknown
% 4.68/1.13 % (24666)Termination phase: Function definition elimination
% 4.68/1.13
% 4.68/1.13 % (24666)Memory used [KB]: 2814
% 4.68/1.13 % (24666)Time elapsed: 0.052 s
% 4.68/1.13 % (24666)Instructions burned: 207 (million)
% 4.68/1.13 % (24666)------------------------------
% 4.68/1.13 % (24666)------------------------------
% 4.68/1.13 % (24652)Instruction limit reached!
% 4.68/1.13 % (24652)------------------------------
% 4.68/1.13 % (24652)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.68/1.13 % (24652)Termination reason: Unknown
% 4.68/1.13 % (24652)Termination phase: Function definition elimination
% 4.68/1.13
% 4.68/1.13 % (24652)Memory used [KB]: 3070
% 4.68/1.13 % (24652)Time elapsed: 0.189 s
% 4.68/1.13 % (24652)Instructions burned: 987 (million)
% 4.68/1.13 % (24652)------------------------------
% 4.68/1.13 % (24652)------------------------------
% 4.68/1.13 % (24670)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 (2992ds/1539Mi)
% 4.68/1.13 % (24671)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 (2992ds/408Mi)
% 4.68/1.14 % (24672)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 (2992ds/5205Mi)
% 4.68/1.14 % (24673)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 (2992ds/1913Mi)
% 4.68/1.16 % (24669)Refutation not found, incomplete strategy
% 4.68/1.16 % (24669)------------------------------
% 4.68/1.16 % (24669)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.68/1.16 % (24669)Termination reason: Refutation not found, incomplete strategy
% 4.68/1.16
% 4.68/1.16
% 4.68/1.16 % (24669)Memory used [KB]: 7291
% 4.68/1.16 % (24669)Time elapsed: 0.044 s
% 4.68/1.16 % (24669)Instructions burned: 153 (million)
% 4.68/1.16 % (24669)------------------------------
% 4.68/1.16 % (24669)------------------------------
% 4.68/1.17 % (24674)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 (2991ds/4350Mi)
% 5.66/1.20 % (24659)Instruction limit reached!
% 5.66/1.20 % (24659)------------------------------
% 5.66/1.20 % (24659)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 5.66/1.20 % (24659)Termination reason: Unknown
% 5.66/1.20 % (24659)Termination phase: Function definition elimination
% 5.66/1.20
% 5.66/1.20 % (24659)Memory used [KB]: 2942
% 5.66/1.20 % (24659)Time elapsed: 0.180 s
% 5.66/1.20 % (24659)Instructions burned: 922 (million)
% 5.66/1.20 % (24659)------------------------------
% 5.66/1.20 % (24659)------------------------------
% 5.66/1.21 % (24675)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 (2991ds/68Mi)
% 5.91/1.22 % (24675)Instruction limit reached!
% 5.91/1.22 % (24675)------------------------------
% 5.91/1.22 % (24675)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 5.91/1.22 % (24675)Termination reason: Unknown
% 5.91/1.22 % (24675)Termination phase: Property scanning
% 5.91/1.22
% 5.91/1.22 % (24675)Memory used [KB]: 2686
% 5.91/1.22 % (24675)Time elapsed: 0.021 s
% 5.91/1.22 % (24675)Instructions burned: 70 (million)
% 5.91/1.22 % (24675)------------------------------
% 5.91/1.22 % (24675)------------------------------
% 5.91/1.23 % (24676)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 (2991ds/358Mi)
% 5.91/1.24 % (24671)Instruction limit reached!
% 5.91/1.24 % (24671)------------------------------
% 5.91/1.24 % (24671)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 5.91/1.24 % (24671)Termination reason: Unknown
% 5.91/1.24 % (24671)Termination phase: Saturation
% 5.91/1.24
% 5.91/1.24 % (24671)Memory used [KB]: 8315
% 5.91/1.24 % (24671)Time elapsed: 0.109 s
% 5.91/1.24 % (24671)Instructions burned: 410 (million)
% 5.91/1.24 % (24671)------------------------------
% 5.91/1.24 % (24671)------------------------------
% 5.91/1.25 % (24677)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)
% 5.91/1.26 % (24677)Instruction limit reached!
% 5.91/1.26 % (24677)------------------------------
% 5.91/1.26 % (24677)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 5.91/1.26 % (24677)Termination reason: Unknown
% 5.91/1.26 % (24677)Termination phase: shuffling
% 5.91/1.26
% 5.91/1.26 % (24677)Memory used [KB]: 2302
% 5.91/1.26 % (24677)Time elapsed: 0.010 s
% 5.91/1.26 % (24677)Instructions burned: 32 (million)
% 5.91/1.26 % (24677)------------------------------
% 5.91/1.26 % (24677)------------------------------
% 5.91/1.27 % (24678)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on theBenchmark for (2990ds/279Mi)
% 6.43/1.32 % (24664)Instruction limit reached!
% 6.43/1.32 % (24664)------------------------------
% 6.43/1.32 % (24664)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.43/1.32 % (24664)Termination reason: Unknown
% 6.43/1.32 % (24664)Termination phase: Function definition elimination
% 6.43/1.32
% 6.43/1.32 % (24664)Memory used [KB]: 3198
% 6.43/1.32 % (24664)Time elapsed: 0.259 s
% 6.43/1.32 % (24664)Instructions burned: 1021 (million)
% 6.43/1.32 % (24664)------------------------------
% 6.43/1.32 % (24664)------------------------------
% 6.43/1.33 % (24676)Instruction limit reached!
% 6.43/1.33 % (24676)------------------------------
% 6.43/1.33 % (24676)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.43/1.33 % (24676)Termination reason: Unknown
% 6.43/1.33 % (24676)Termination phase: Saturation
% 6.43/1.33
% 6.43/1.33 % (24676)Memory used [KB]: 7931
% 6.43/1.33 % (24676)Time elapsed: 0.094 s
% 6.43/1.33 % (24676)Instructions burned: 361 (million)
% 6.43/1.33 % (24676)------------------------------
% 6.43/1.33 % (24676)------------------------------
% 6.43/1.33 % (24679)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on theBenchmark for (2990ds/258Mi)
% 6.43/1.33 % (24680)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 (2990ds/26Mi)
% 6.43/1.34 % (24680)Instruction limit reached!
% 6.43/1.34 % (24680)------------------------------
% 6.43/1.34 % (24680)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.43/1.34 % (24680)Termination reason: Unknown
% 6.43/1.34 % (24680)Termination phase: shuffling
% 6.43/1.34
% 6.43/1.34 % (24680)Memory used [KB]: 2302
% 6.43/1.34 % (24680)Time elapsed: 0.008 s
% 6.43/1.34 % (24680)Instructions burned: 26 (million)
% 6.43/1.34 % (24680)------------------------------
% 6.43/1.34 % (24680)------------------------------
% 6.43/1.34 % (24678)Instruction limit reached!
% 6.43/1.34 % (24678)------------------------------
% 6.43/1.34 % (24678)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.43/1.34 % (24678)Termination reason: Unknown
% 6.43/1.34 % (24678)Termination phase: Saturation
% 6.43/1.34
% 6.43/1.34 % (24678)Memory used [KB]: 7931
% 6.43/1.34 % (24678)Time elapsed: 0.076 s
% 6.43/1.34 % (24678)Instructions burned: 280 (million)
% 6.43/1.34 % (24678)------------------------------
% 6.43/1.34 % (24678)------------------------------
% 6.43/1.35 % (24681)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 (2990ds/995Mi)
% 6.43/1.35 % (24682)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)
% 6.93/1.40 % (24679)Instruction limit reached!
% 6.93/1.40 % (24679)------------------------------
% 6.93/1.40 % (24679)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.93/1.40 % (24679)Termination reason: Unknown
% 6.93/1.40 % (24679)Termination phase: Saturation
% 6.93/1.40
% 6.93/1.40 % (24679)Memory used [KB]: 7547
% 6.93/1.40 % (24679)Time elapsed: 0.070 s
% 6.93/1.40 % (24679)Instructions burned: 260 (million)
% 6.93/1.40 % (24679)------------------------------
% 6.93/1.40 % (24679)------------------------------
% 6.93/1.41 % (24683)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 (2989ds/253Mi)
% 6.93/1.43 % (24670)Instruction limit reached!
% 6.93/1.43 % (24670)------------------------------
% 6.93/1.43 % (24670)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.93/1.43 % (24670)Termination reason: Unknown
% 6.93/1.43 % (24670)Termination phase: Function definition elimination
% 6.93/1.43
% 6.93/1.43 % (24670)Memory used [KB]: 3198
% 6.93/1.43 % (24670)Time elapsed: 0.294 s
% 6.93/1.43 % (24670)Instructions burned: 1540 (million)
% 6.93/1.43 % (24670)------------------------------
% 6.93/1.43 % (24670)------------------------------
% 6.93/1.43 % (24682)Instruction limit reached!
% 6.93/1.43 % (24682)------------------------------
% 6.93/1.43 % (24682)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.93/1.43 % (24682)Termination reason: Unknown
% 6.93/1.43 % (24682)Termination phase: Function definition elimination
% 6.93/1.43
% 6.93/1.43 % (24682)Memory used [KB]: 2942
% 6.93/1.43 % (24682)Time elapsed: 0.079 s
% 6.93/1.43 % (24682)Instructions burned: 375 (million)
% 6.93/1.43 % (24682)------------------------------
% 6.93/1.43 % (24682)------------------------------
% 6.93/1.44 % (24684)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)
% 6.93/1.44 % (24685)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)
% 6.93/1.47 % (24683)Instruction limit reached!
% 6.93/1.47 % (24683)------------------------------
% 6.93/1.47 % (24683)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.93/1.47 % (24683)Termination reason: Unknown
% 6.93/1.47 % (24683)Termination phase: Function definition elimination
% 6.93/1.47
% 6.93/1.47 % (24683)Memory used [KB]: 3070
% 6.93/1.47 % (24683)Time elapsed: 0.058 s
% 6.93/1.47 % (24683)Instructions burned: 258 (million)
% 6.93/1.47 % (24683)------------------------------
% 6.93/1.47 % (24683)------------------------------
% 7.48/1.47 % (24686)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 (2988ds/40Mi)
% 7.52/1.49 % (24686)Instruction limit reached!
% 7.52/1.49 % (24686)------------------------------
% 7.52/1.49 % (24686)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.52/1.49 % (24686)Termination reason: Unknown
% 7.52/1.49 % (24686)Termination phase: shuffling
% 7.52/1.49
% 7.52/1.49 % (24686)Memory used [KB]: 2430
% 7.52/1.49 % (24686)Time elapsed: 0.013 s
% 7.52/1.49 % (24686)Instructions burned: 40 (million)
% 7.52/1.49 % (24686)------------------------------
% 7.52/1.49 % (24686)------------------------------
% 7.52/1.49 % (24684)Refutation not found, incomplete strategy
% 7.52/1.49 % (24684)------------------------------
% 7.52/1.49 % (24684)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.52/1.49 % (24684)Termination reason: Refutation not found, incomplete strategy
% 7.52/1.49
% 7.52/1.49
% 7.52/1.49 % (24684)Memory used [KB]: 7675
% 7.52/1.49 % (24684)Time elapsed: 0.058 s
% 7.52/1.49 % (24684)Instructions burned: 218 (million)
% 7.52/1.49 % (24684)------------------------------
% 7.52/1.49 % (24684)------------------------------
% 7.52/1.49 % (24687)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 (2988ds/294Mi)
% 7.52/1.50 % (24688)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 (2988ds/187Mi)
% 7.72/1.54 % (24681)Instruction limit reached!
% 7.72/1.54 % (24681)------------------------------
% 7.72/1.54 % (24681)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.72/1.54 % (24681)Termination reason: Unknown
% 7.72/1.54 % (24681)Termination phase: Function definition elimination
% 7.72/1.54
% 7.72/1.54 % (24681)Memory used [KB]: 3070
% 7.72/1.54 % (24681)Time elapsed: 0.191 s
% 7.72/1.54 % (24681)Instructions burned: 996 (million)
% 7.72/1.54 % (24681)------------------------------
% 7.72/1.54 % (24681)------------------------------
% 7.72/1.55 % (24688)Instruction limit reached!
% 7.72/1.55 % (24688)------------------------------
% 7.72/1.55 % (24688)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.72/1.55 % (24688)Termination reason: Unknown
% 7.72/1.55 % (24688)Termination phase: Function definition elimination
% 7.72/1.55
% 7.72/1.55 % (24688)Memory used [KB]: 2942
% 7.72/1.55 % (24688)Time elapsed: 0.047 s
% 7.72/1.55 % (24688)Instructions burned: 191 (million)
% 7.72/1.55 % (24688)------------------------------
% 7.72/1.55 % (24688)------------------------------
% 7.72/1.55 % (24689)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 (2988ds/371Mi)
% 7.72/1.56 % (24690)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)
% 7.72/1.57 % (24685)Instruction limit reached!
% 7.72/1.57 % (24685)------------------------------
% 7.72/1.57 % (24685)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.72/1.57 % (24685)Termination reason: Unknown
% 7.72/1.57 % (24685)Termination phase: Function definition elimination
% 7.72/1.57
% 7.72/1.57 % (24685)Memory used [KB]: 3070
% 7.72/1.57 % (24685)Time elapsed: 0.131 s
% 7.72/1.57 % (24685)Instructions burned: 671 (million)
% 7.72/1.57 % (24685)------------------------------
% 7.72/1.57 % (24685)------------------------------
% 7.72/1.58 % (24687)Instruction limit reached!
% 7.72/1.58 % (24687)------------------------------
% 7.72/1.58 % (24687)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.72/1.58 % (24687)Termination reason: Unknown
% 7.72/1.58 % (24687)Termination phase: Saturation
% 7.72/1.58
% 7.72/1.58 % (24687)Memory used [KB]: 7675
% 7.72/1.58 % (24687)Time elapsed: 0.082 s
% 7.72/1.58 % (24687)Instructions burned: 295 (million)
% 7.72/1.58 % (24687)------------------------------
% 7.72/1.58 % (24687)------------------------------
% 7.72/1.58 % (24691)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 (2987ds/70Mi)
% 7.72/1.58 % (24692)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 (2987ds/316Mi)
% 7.72/1.60 % (24691)Instruction limit reached!
% 7.72/1.60 % (24691)------------------------------
% 7.72/1.60 % (24691)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.72/1.60 % (24691)Termination reason: Unknown
% 7.72/1.60 % (24691)Termination phase: Property scanning
% 7.72/1.60
% 7.72/1.60 % (24691)Memory used [KB]: 2686
% 7.72/1.60 % (24691)Time elapsed: 0.019 s
% 7.72/1.60 % (24691)Instructions burned: 70 (million)
% 7.72/1.60 % (24691)------------------------------
% 7.72/1.60 % (24691)------------------------------
% 7.72/1.60 % (24693)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 (2987ds/932Mi)
% 8.50/1.65 % (24689)Instruction limit reached!
% 8.50/1.65 % (24689)------------------------------
% 8.50/1.65 % (24689)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 8.50/1.65 % (24689)Termination reason: Unknown
% 8.50/1.65 % (24689)Termination phase: Saturation
% 8.50/1.65
% 8.50/1.65 % (24689)Memory used [KB]: 8059
% 8.50/1.65 % (24689)Time elapsed: 0.098 s
% 8.50/1.65 % (24689)Instructions burned: 374 (million)
% 8.50/1.65 % (24689)------------------------------
% 8.50/1.65 % (24689)------------------------------
% 8.50/1.65 % (24694)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 (2987ds/4714Mi)
% 8.50/1.66 % (24692)Instruction limit reached!
% 8.50/1.66 % (24692)------------------------------
% 8.50/1.66 % (24692)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 8.50/1.66 % (24692)Termination reason: Unknown
% 8.50/1.66 % (24692)Termination phase: Function definition elimination
% 8.50/1.66
% 8.50/1.66 % (24692)Memory used [KB]: 3070
% 8.50/1.66 % (24692)Time elapsed: 0.076 s
% 8.50/1.66 % (24692)Instructions burned: 319 (million)
% 8.50/1.66 % (24692)------------------------------
% 8.50/1.66 % (24692)------------------------------
% 8.50/1.66 % (24673)Instruction limit reached!
% 8.50/1.66 % (24673)------------------------------
% 8.50/1.66 % (24673)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 8.50/1.66 % (24673)Termination reason: Unknown
% 8.50/1.66 % (24673)Termination phase: Saturation
% 8.50/1.66
% 8.50/1.66 % (24673)Memory used [KB]: 5373
% 8.50/1.66 % (24673)Time elapsed: 0.519 s
% 8.50/1.66 % (24673)Instructions burned: 1916 (million)
% 8.50/1.66 % (24673)------------------------------
% 8.50/1.66 % (24673)------------------------------
% 8.50/1.67 % (24695)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 (2987ds/8250Mi)
% 8.50/1.67 % (24696)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 (2987ds/770Mi)
% 9.20/1.70 % (24696)Refutation not found, incomplete strategy
% 9.20/1.70 % (24696)------------------------------
% 9.20/1.70 % (24696)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 9.20/1.70 % (24696)Termination reason: Refutation not found, incomplete strategy
% 9.20/1.70
% 9.20/1.70
% 9.20/1.70 % (24696)Memory used [KB]: 7291
% 9.20/1.70 % (24696)Time elapsed: 0.036 s
% 9.20/1.70 % (24696)Instructions burned: 125 (million)
% 9.20/1.70 % (24696)------------------------------
% 9.20/1.70 % (24696)------------------------------
% 9.20/1.71 % (24697)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)
% 9.74/1.78 % (24693)Instruction limit reached!
% 9.74/1.78 % (24693)------------------------------
% 9.74/1.78 % (24693)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 9.74/1.78 % (24693)Termination reason: Unknown
% 9.74/1.78 % (24693)Termination phase: Function definition elimination
% 9.74/1.78
% 9.74/1.78 % (24693)Memory used [KB]: 3070
% 9.74/1.78 % (24693)Time elapsed: 0.181 s
% 9.74/1.78 % (24693)Instructions burned: 935 (million)
% 9.74/1.78 % (24693)------------------------------
% 9.74/1.78 % (24693)------------------------------
% 9.74/1.79 % (24698)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 (2985ds/464Mi)
% 9.92/1.87 % (24697)Instruction limit reached!
% 9.92/1.87 % (24697)------------------------------
% 9.92/1.87 % (24697)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 9.92/1.87 % (24697)Termination reason: Unknown
% 9.92/1.87 % (24697)Termination phase: Function definition elimination
% 9.92/1.87
% 9.92/1.87 % (24697)Memory used [KB]: 3198
% 9.92/1.87 % (24697)Time elapsed: 0.158 s
% 9.92/1.87 % (24697)Instructions burned: 795 (million)
% 9.92/1.87 % (24697)------------------------------
% 9.92/1.87 % (24697)------------------------------
% 9.92/1.88 % (24699)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)
% 9.92/1.89 % (24698)Instruction limit reached!
% 9.92/1.89 % (24698)------------------------------
% 9.92/1.89 % (24698)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 9.92/1.89 % (24698)Termination reason: Unknown
% 9.92/1.89 % (24698)Termination phase: Function definition elimination
% 9.92/1.89
% 9.92/1.89 % (24698)Memory used [KB]: 2942
% 9.92/1.89 % (24698)Time elapsed: 0.097 s
% 9.92/1.89 % (24698)Instructions burned: 465 (million)
% 9.92/1.89 % (24698)------------------------------
% 9.92/1.89 % (24698)------------------------------
% 9.92/1.90 % (24700)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on theBenchmark for (2984ds/906Mi)
% 11.02/2.07 % (24700)Instruction limit reached!
% 11.02/2.07 % (24700)------------------------------
% 11.02/2.07 % (24700)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 11.02/2.07 % (24700)Termination reason: Unknown
% 11.02/2.07 % (24700)Termination phase: Function definition elimination
% 11.02/2.07
% 11.02/2.07 % (24700)Memory used [KB]: 3198
% 11.02/2.07 % (24700)Time elapsed: 0.178 s
% 11.02/2.07 % (24700)Instructions burned: 906 (million)
% 11.02/2.07 % (24700)------------------------------
% 11.02/2.07 % (24700)------------------------------
% 11.02/2.08 % (24672)Instruction limit reached!
% 11.02/2.08 % (24672)------------------------------
% 11.02/2.08 % (24672)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 11.02/2.08 % (24672)Termination reason: Unknown
% 11.02/2.08 % (24672)Termination phase: Function definition elimination
% 11.02/2.08
% 11.02/2.08 % (24672)Memory used [KB]: 3070
% 11.02/2.08 % (24672)Time elapsed: 0.940 s
% 11.02/2.08 % (24672)Instructions burned: 5209 (million)
% 11.02/2.08 % (24672)------------------------------
% 11.02/2.08 % (24672)------------------------------
% 11.72/2.08 % (24701)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)
% 11.72/2.09 % (24702)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 (2982ds/865Mi)
% 11.84/2.11 % (24690)Instruction limit reached!
% 11.84/2.11 % (24690)------------------------------
% 11.84/2.11 % (24690)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 11.84/2.11 % (24690)Termination reason: Unknown
% 11.84/2.11 % (24690)Termination phase: Saturation
% 11.84/2.11
% 11.84/2.11 % (24690)Memory used [KB]: 10362
% 11.84/2.11 % (24690)Time elapsed: 0.556 s
% 11.84/2.11 % (24690)Instructions burned: 1829 (million)
% 11.84/2.11 % (24690)------------------------------
% 11.84/2.11 % (24690)------------------------------
% 11.85/2.12 % (24703)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 (2982ds/593Mi)
% 11.85/2.14 % (24699)Instruction limit reached!
% 11.85/2.14 % (24699)------------------------------
% 11.85/2.14 % (24699)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 11.85/2.14 % (24699)Termination reason: Unknown
% 11.85/2.14 % (24699)Termination phase: Function definition elimination
% 11.85/2.14
% 11.85/2.14 % (24699)Memory used [KB]: 3070
% 11.85/2.14 % (24699)Time elapsed: 0.261 s
% 11.85/2.14 % (24699)Instructions burned: 1379 (million)
% 11.85/2.14 % (24699)------------------------------
% 11.85/2.14 % (24699)------------------------------
% 11.85/2.15 % (24704)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 (2982ds/443Mi)
% 11.85/2.20 % (24701)Instruction limit reached!
% 11.85/2.20 % (24701)------------------------------
% 11.85/2.20 % (24701)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 11.85/2.20 % (24701)Termination reason: Unknown
% 11.85/2.20 % (24701)Termination phase: Saturation
% 11.85/2.20
% 11.85/2.20 % (24701)Memory used [KB]: 7547
% 11.85/2.20 % (24701)Time elapsed: 0.140 s
% 11.85/2.20 % (24701)Instructions burned: 437 (million)
% 11.85/2.20 % (24701)------------------------------
% 11.85/2.20 % (24701)------------------------------
% 11.85/2.21 % (24705)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)
% 12.80/2.24 % (24703)Instruction limit reached!
% 12.80/2.24 % (24703)------------------------------
% 12.80/2.24 % (24703)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 12.80/2.24 % (24703)Termination reason: Unknown
% 12.80/2.24 % (24703)Termination phase: Function definition elimination
% 12.80/2.24
% 12.80/2.24 % (24703)Memory used [KB]: 3070
% 12.80/2.24 % (24703)Time elapsed: 0.121 s
% 12.80/2.24 % (24703)Instructions burned: 596 (million)
% 12.80/2.24 % (24703)------------------------------
% 12.80/2.24 % (24703)------------------------------
% 12.80/2.25 % (24706)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 (2981ds/327Mi)
% 12.80/2.26 % (24704)Instruction limit reached!
% 12.80/2.26 % (24704)------------------------------
% 12.80/2.26 % (24704)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 12.80/2.26 % (24704)Termination reason: Unknown
% 12.80/2.26 % (24704)Termination phase: Saturation
% 12.80/2.26
% 12.80/2.26 % (24704)Memory used [KB]: 8571
% 12.80/2.26 % (24704)Time elapsed: 0.112 s
% 12.80/2.26 % (24704)Instructions burned: 446 (million)
% 12.80/2.26 % (24704)------------------------------
% 12.80/2.26 % (24704)------------------------------
% 12.80/2.27 % (24707)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)
% 13.23/2.30 % (24707)Refutation not found, incomplete strategy
% 13.23/2.30 % (24707)------------------------------
% 13.23/2.30 % (24707)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 13.23/2.30 % (24707)Termination reason: Refutation not found, incomplete strategy
% 13.23/2.30
% 13.23/2.30
% 13.23/2.30 % (24707)Memory used [KB]: 7164
% 13.23/2.30 % (24707)Time elapsed: 0.032 s
% 13.23/2.30 % (24707)Instructions burned: 115 (million)
% 13.23/2.30 % (24707)------------------------------
% 13.23/2.30 % (24707)------------------------------
% 13.23/2.31 % (24708)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)
% 13.23/2.32 % (24702)Instruction limit reached!
% 13.23/2.32 % (24702)------------------------------
% 13.23/2.32 % (24702)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 13.23/2.32 % (24702)Termination reason: Unknown
% 13.23/2.32 % (24702)Termination phase: Saturation
% 13.23/2.32
% 13.23/2.32 % (24702)Memory used [KB]: 9722
% 13.23/2.32 % (24702)Time elapsed: 0.261 s
% 13.23/2.32 % (24702)Instructions burned: 865 (million)
% 13.23/2.32 % (24702)------------------------------
% 13.23/2.32 % (24702)------------------------------
% 13.23/2.33 % (24709)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)
% 13.23/2.35 % (24706)Instruction limit reached!
% 13.23/2.35 % (24706)------------------------------
% 13.23/2.35 % (24706)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 13.23/2.35 % (24706)Termination reason: Unknown
% 13.23/2.35 % (24706)Termination phase: Saturation
% 13.23/2.35
% 13.23/2.35 % (24706)Memory used [KB]: 7931
% 13.23/2.35 % (24706)Time elapsed: 0.120 s
% 13.23/2.35 % (24706)Instructions burned: 329 (million)
% 13.23/2.35 % (24706)------------------------------
% 13.23/2.35 % (24706)------------------------------
% 13.23/2.36 % (24710)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 (2980ds/503Mi)
% 13.23/2.36 % (24709)Instruction limit reached!
% 13.23/2.36 % (24709)------------------------------
% 13.23/2.36 % (24709)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 13.23/2.36 % (24709)Termination reason: Unknown
% 13.23/2.36 % (24709)Termination phase: Naming
% 13.23/2.36
% 13.23/2.36 % (24709)Memory used [KB]: 2686
% 13.23/2.36 % (24709)Time elapsed: 0.026 s
% 13.23/2.36 % (24709)Instructions burned: 97 (million)
% 13.23/2.36 % (24709)------------------------------
% 13.23/2.36 % (24709)------------------------------
% 13.23/2.37 % (24711)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)
% 13.23/2.37 % (24705)Instruction limit reached!
% 13.23/2.37 % (24705)------------------------------
% 13.23/2.37 % (24705)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 13.23/2.37 % (24705)Termination reason: Unknown
% 13.23/2.37 % (24705)Termination phase: Saturation
% 13.23/2.37
% 13.23/2.37 % (24705)Memory used [KB]: 8059
% 13.23/2.37 % (24705)Time elapsed: 0.189 s
% 13.23/2.37 % (24705)Instructions burned: 594 (million)
% 13.23/2.37 % (24705)------------------------------
% 13.23/2.37 % (24705)------------------------------
% 13.23/2.38 % (24712)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on theBenchmark for (2979ds/593Mi)
% 13.23/2.39 % (24711)Instruction limit reached!
% 13.23/2.39 % (24711)------------------------------
% 13.23/2.39 % (24711)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 13.23/2.39 % (24711)Termination reason: Unknown
% 13.23/2.39 % (24711)Termination phase: Property scanning
% 13.23/2.39
% 13.23/2.39 % (24711)Memory used [KB]: 2686
% 13.23/2.39 % (24711)Time elapsed: 0.025 s
% 13.23/2.39 % (24711)Instructions burned: 91 (million)
% 13.23/2.39 % (24711)------------------------------
% 13.23/2.39 % (24711)------------------------------
% 13.98/2.40 % (24713)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)
% 13.98/2.45 % (24674)Instruction limit reached!
% 13.98/2.45 % (24674)------------------------------
% 13.98/2.45 % (24674)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 13.98/2.45 % (24674)Termination reason: Unknown
% 13.98/2.45 % (24674)Termination phase: Saturation
% 13.98/2.45
% 13.98/2.45 % (24674)Memory used [KB]: 13176
% 13.98/2.45 % (24674)Time elapsed: 1.269 s
% 13.98/2.45 % (24674)Instructions burned: 4353 (million)
% 13.98/2.45 % (24674)------------------------------
% 13.98/2.45 % (24674)------------------------------
% 13.98/2.46 % (24713)Refutation not found, incomplete strategy
% 13.98/2.46 % (24713)------------------------------
% 13.98/2.46 % (24713)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 13.98/2.46 % (24713)Termination reason: Refutation not found, incomplete strategy
% 13.98/2.46
% 13.98/2.46
% 13.98/2.46 % (24713)Memory used [KB]: 7675
% 13.98/2.46 % (24713)Time elapsed: 0.062 s
% 13.98/2.46 % (24713)Instructions burned: 228 (million)
% 13.98/2.46 % (24713)------------------------------
% 13.98/2.46 % (24713)------------------------------
% 13.98/2.46 % (24714)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)
% 13.98/2.47 % (24715)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 (2978ds/501Mi)
% 13.98/2.49 % (24710)Instruction limit reached!
% 13.98/2.49 % (24710)------------------------------
% 13.98/2.49 % (24710)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 13.98/2.49 % (24710)Termination reason: Unknown
% 13.98/2.49 % (24710)Termination phase: Saturation
% 13.98/2.49
% 13.98/2.49 % (24710)Memory used [KB]: 8443
% 13.98/2.49 % (24710)Time elapsed: 0.138 s
% 13.98/2.49 % (24710)Instructions burned: 503 (million)
% 13.98/2.49 % (24710)------------------------------
% 13.98/2.49 % (24710)------------------------------
% 14.45/2.50 % (24712)Instruction limit reached!
% 14.45/2.50 % (24712)------------------------------
% 14.45/2.50 % (24712)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 14.45/2.50 % (24712)Termination reason: Unknown
% 14.45/2.50 % (24712)Termination phase: Function definition elimination
% 14.45/2.50
% 14.45/2.50 % (24712)Memory used [KB]: 2942
% 14.45/2.50 % (24712)Time elapsed: 0.119 s
% 14.45/2.50 % (24712)Instructions burned: 594 (million)
% 14.45/2.50 % (24712)------------------------------
% 14.45/2.50 % (24712)------------------------------
% 14.45/2.50 % (24716)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)
% 14.45/2.51 % (24694)Instruction limit reached!
% 14.45/2.51 % (24694)------------------------------
% 14.45/2.51 % (24694)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 14.45/2.51 % (24694)Termination reason: Unknown
% 14.45/2.51 % (24694)Termination phase: Function definition elimination
% 14.45/2.51
% 14.45/2.51 % (24694)Memory used [KB]: 3070
% 14.45/2.51 % (24694)Time elapsed: 0.852 s
% 14.45/2.51 % (24694)Instructions burned: 4714 (million)
% 14.45/2.51 % (24694)------------------------------
% 14.45/2.51 % (24694)------------------------------
% 14.45/2.51 % (24717)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)
% 14.45/2.51 % (24718)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on theBenchmark for (2978ds/582Mi)
% 14.45/2.57 % (24715)Instruction limit reached!
% 14.45/2.57 % (24715)------------------------------
% 14.45/2.57 % (24715)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 14.45/2.57 % (24715)Termination reason: Unknown
% 14.45/2.57 % (24715)Termination phase: Function definition elimination
% 14.45/2.57
% 14.45/2.57 % (24715)Memory used [KB]: 3198
% 14.45/2.57 % (24715)Time elapsed: 0.103 s
% 14.45/2.57 % (24715)Instructions burned: 502 (million)
% 14.45/2.57 % (24715)------------------------------
% 14.45/2.57 % (24715)------------------------------
% 14.45/2.57 % (24714)Instruction limit reached!
% 14.45/2.57 % (24714)------------------------------
% 14.45/2.57 % (24714)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 14.45/2.57 % (24714)Termination reason: Unknown
% 14.45/2.57 % (24714)Termination phase: Function definition elimination
% 14.45/2.57
% 14.45/2.57 % (24714)Memory used [KB]: 3070
% 14.45/2.57 % (24714)Time elapsed: 0.114 s
% 14.45/2.57 % (24714)Instructions burned: 572 (million)
% 14.45/2.57 % (24714)------------------------------
% 14.45/2.57 % (24714)------------------------------
% 14.45/2.58 % (24719)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)
% 14.45/2.58 % (24720)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)
% 14.93/2.62 % (24717)Instruction limit reached!
% 14.93/2.62 % (24717)------------------------------
% 14.93/2.62 % (24717)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 14.93/2.62 % (24717)Termination reason: Unknown
% 14.93/2.62 % (24717)Termination phase: Saturation
% 14.93/2.62
% 14.93/2.62 % (24717)Memory used [KB]: 8187
% 14.93/2.62 % (24717)Time elapsed: 0.116 s
% 14.93/2.62 % (24717)Instructions burned: 407 (million)
% 14.93/2.62 % (24717)------------------------------
% 14.93/2.62 % (24717)------------------------------
% 14.93/2.63 % (24718)Instruction limit reached!
% 14.93/2.63 % (24718)------------------------------
% 14.93/2.63 % (24718)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 14.93/2.63 % (24718)Termination reason: Unknown
% 14.93/2.63 % (24718)Termination phase: Function definition elimination
% 14.93/2.63
% 14.93/2.63 % (24718)Memory used [KB]: 3198
% 14.93/2.63 % (24718)Time elapsed: 0.118 s
% 14.93/2.63 % (24718)Instructions burned: 583 (million)
% 14.93/2.63 % (24718)------------------------------
% 14.93/2.63 % (24718)------------------------------
% 14.93/2.63 % (24708)Instruction limit reached!
% 14.93/2.63 % (24708)------------------------------
% 14.93/2.63 % (24708)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 14.93/2.63 % (24708)Termination reason: Unknown
% 14.93/2.63 % (24708)Termination phase: Function definition elimination
% 14.93/2.63
% 14.93/2.63 % (24708)Memory used [KB]: 3070
% 14.93/2.63 % (24708)Time elapsed: 0.326 s
% 14.93/2.63 % (24708)Instructions burned: 1764 (million)
% 14.93/2.63 % (24708)------------------------------
% 14.93/2.63 % (24708)------------------------------
% 14.93/2.63 % (24721)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)
% 14.93/2.64 % (24722)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 (2977ds/3373Mi)
% 14.93/2.64 % (24723)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 (2977ds/474Mi)
% 14.93/2.65 % (24716)Instruction limit reached!
% 14.93/2.65 % (24716)------------------------------
% 14.93/2.65 % (24716)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 14.93/2.65 % (24716)Termination reason: Unknown
% 14.93/2.65 % (24716)Termination phase: Saturation
% 14.93/2.65
% 14.93/2.65 % (24716)Memory used [KB]: 9083
% 14.93/2.65 % (24716)Time elapsed: 0.149 s
% 14.93/2.65 % (24716)Instructions burned: 564 (million)
% 14.93/2.65 % (24716)------------------------------
% 14.93/2.65 % (24716)------------------------------
% 14.93/2.66 % (24724)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 (2977ds/157Mi)
% 14.93/2.66 % (24720)Instruction limit reached!
% 14.93/2.66 % (24720)------------------------------
% 14.93/2.66 % (24720)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 14.93/2.66 % (24720)Termination reason: Unknown
% 14.93/2.66 % (24720)Termination phase: Function definition elimination
% 14.93/2.66
% 14.93/2.66 % (24720)Memory used [KB]: 3070
% 14.93/2.66 % (24720)Time elapsed: 0.083 s
% 14.93/2.66 % (24720)Instructions burned: 395 (million)
% 14.93/2.66 % (24720)------------------------------
% 14.93/2.66 % (24720)------------------------------
% 14.93/2.67 % (24725)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)
% 15.86/2.70 % (24719)Instruction limit reached!
% 15.86/2.70 % (24719)------------------------------
% 15.86/2.70 % (24719)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 15.86/2.70 % (24719)Termination reason: Unknown
% 15.86/2.70 % (24719)Termination phase: Saturation
% 15.86/2.70
% 15.86/2.70 % (24719)Memory used [KB]: 4349
% 15.86/2.70 % (24719)Time elapsed: 0.117 s
% 15.86/2.70 % (24719)Instructions burned: 458 (million)
% 15.86/2.70 % (24719)------------------------------
% 15.86/2.70 % (24719)------------------------------
% 15.98/2.70 % (24724)Instruction limit reached!
% 15.98/2.70 % (24724)------------------------------
% 15.98/2.70 % (24724)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 15.98/2.70 % (24724)Termination reason: Unknown
% 15.98/2.70 % (24724)Termination phase: Function definition elimination
% 15.98/2.70
% 15.98/2.70 % (24724)Memory used [KB]: 2814
% 15.98/2.70 % (24724)Time elapsed: 0.042 s
% 15.98/2.70 % (24724)Instructions burned: 160 (million)
% 15.98/2.70 % (24724)------------------------------
% 15.98/2.70 % (24724)------------------------------
% 15.98/2.70 % (24726)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)
% 16.32/2.72 % (24727)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 (2976ds/414Mi)
% 16.32/2.73 % (24726)Instruction limit reached!
% 16.32/2.73 % (24726)------------------------------
% 16.32/2.73 % (24726)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 16.32/2.73 % (24726)Termination reason: Unknown
% 16.32/2.73 % (24726)Termination phase: Property scanning
% 16.32/2.73
% 16.32/2.73 % (24726)Memory used [KB]: 2814
% 16.32/2.73 % (24726)Time elapsed: 0.029 s
% 16.32/2.73 % (24726)Instructions burned: 105 (million)
% 16.32/2.73 % (24726)------------------------------
% 16.32/2.73 % (24726)------------------------------
% 16.32/2.74 % (24723)Instruction limit reached!
% 16.32/2.74 % (24723)------------------------------
% 16.32/2.74 % (24723)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 16.32/2.74 % (24723)Termination reason: Unknown
% 16.32/2.74 % (24723)Termination phase: Function definition elimination
% 16.32/2.74
% 16.32/2.74 % (24723)Memory used [KB]: 3070
% 16.32/2.74 % (24723)Time elapsed: 0.098 s
% 16.32/2.74 % (24723)Instructions burned: 478 (million)
% 16.32/2.74 % (24723)------------------------------
% 16.32/2.74 % (24723)------------------------------
% 16.32/2.74 % (24728)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 (2976ds/715Mi)
% 16.32/2.75 % (24729)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 (2976ds/961Mi)
% 16.32/2.79 % (24725)Instruction limit reached!
% 16.32/2.79 % (24725)------------------------------
% 16.32/2.79 % (24725)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 16.32/2.79 % (24725)Termination reason: Unknown
% 16.32/2.79 % (24725)Termination phase: Function definition elimination
% 16.32/2.79
% 16.32/2.79 % (24725)Memory used [KB]: 2942
% 16.32/2.79 % (24725)Time elapsed: 0.122 s
% 16.32/2.79 % (24725)Instructions burned: 592 (million)
% 16.32/2.79 % (24725)------------------------------
% 16.32/2.79 % (24725)------------------------------
% 16.32/2.80 % (24727)Instruction limit reached!
% 16.32/2.80 % (24727)------------------------------
% 16.32/2.80 % (24727)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 16.32/2.80 % (24727)Termination reason: Unknown
% 16.32/2.80 % (24727)Termination phase: Function definition elimination
% 16.32/2.80
% 16.32/2.80 % (24727)Memory used [KB]: 3070
% 16.32/2.80 % (24727)Time elapsed: 0.086 s
% 16.32/2.80 % (24727)Instructions burned: 415 (million)
% 16.32/2.80 % (24727)------------------------------
% 16.32/2.80 % (24727)------------------------------
% 16.32/2.80 % (24730)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)
% 16.85/2.81 % (24731)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)
% 16.85/2.88 % (24728)Instruction limit reached!
% 16.85/2.88 % (24728)------------------------------
% 16.85/2.88 % (24728)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 16.85/2.88 % (24728)Termination reason: Unknown
% 16.85/2.88 % (24728)Termination phase: Function definition elimination
% 16.85/2.88
% 16.85/2.88 % (24728)Memory used [KB]: 3198
% 16.85/2.88 % (24728)Time elapsed: 0.140 s
% 16.85/2.88 % (24728)Instructions burned: 715 (million)
% 16.85/2.88 % (24728)------------------------------
% 16.85/2.88 % (24728)------------------------------
% 16.85/2.89 % (24732)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)
% 17.29/2.93 % (24729)Instruction limit reached!
% 17.29/2.93 % (24729)------------------------------
% 17.29/2.93 % (24729)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 17.29/2.93 % (24729)Termination reason: Unknown
% 17.29/2.93 % (24729)Termination phase: Function definition elimination
% 17.29/2.93
% 17.29/2.93 % (24729)Memory used [KB]: 2942
% 17.29/2.93 % (24729)Time elapsed: 0.187 s
% 17.29/2.93 % (24729)Instructions burned: 963 (million)
% 17.29/2.93 % (24729)------------------------------
% 17.29/2.93 % (24729)------------------------------
% 17.29/2.94 % (24733)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 (2974ds/783Mi)
% 17.29/2.99 % (24732)Instruction limit reached!
% 17.29/2.99 % (24732)------------------------------
% 17.29/2.99 % (24732)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 17.29/2.99 % (24732)Termination reason: Unknown
% 17.29/2.99 % (24732)Termination phase: Function definition elimination
% 17.29/2.99
% 17.29/2.99 % (24732)Memory used [KB]: 3070
% 17.29/2.99 % (24732)Time elapsed: 0.099 s
% 17.29/2.99 % (24732)Instructions burned: 484 (million)
% 17.29/2.99 % (24732)------------------------------
% 17.29/2.99 % (24732)------------------------------
% 17.84/3.00 % (24734)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on theBenchmark for (2973ds/432Mi)
% 17.84/3.01 % (24721)Instruction limit reached!
% 17.84/3.01 % (24721)------------------------------
% 17.84/3.01 % (24721)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 17.84/3.01 % (24721)Termination reason: Unknown
% 17.84/3.01 % (24721)Termination phase: Saturation
% 17.84/3.01
% 17.84/3.01 % (24721)Memory used [KB]: 9466
% 17.84/3.01 % (24721)Time elapsed: 0.380 s
% 17.84/3.01 % (24721)Instructions burned: 1335 (million)
% 17.84/3.01 % (24721)------------------------------
% 17.84/3.01 % (24721)------------------------------
% 17.84/3.02 % (24735)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on theBenchmark for (2973ds/1670Mi)
% 18.11/3.13 % (24734)Instruction limit reached!
% 18.11/3.13 % (24734)------------------------------
% 18.11/3.13 % (24734)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 18.11/3.13 % (24734)Termination reason: Unknown
% 18.11/3.13 % (24734)Termination phase: Saturation
% 18.11/3.13
% 18.11/3.13 % (24734)Memory used [KB]: 8315
% 18.11/3.13 % (24734)Time elapsed: 0.137 s
% 18.11/3.13 % (24734)Instructions burned: 434 (million)
% 18.11/3.13 % (24734)------------------------------
% 18.11/3.13 % (24734)------------------------------
% 18.11/3.14 % (24736)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on theBenchmark for (2972ds/90Mi)
% 18.11/3.16 % (24733)Instruction limit reached!
% 18.11/3.16 % (24733)------------------------------
% 18.11/3.16 % (24733)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 18.11/3.16 % (24733)Termination reason: Unknown
% 18.11/3.16 % (24733)Termination phase: Saturation
% 18.11/3.16
% 18.11/3.16 % (24733)Memory used [KB]: 8059
% 18.11/3.16 % (24733)Time elapsed: 0.223 s
% 18.11/3.16 % (24733)Instructions burned: 783 (million)
% 18.11/3.16 % (24733)------------------------------
% 18.11/3.16 % (24733)------------------------------
% 18.11/3.16 % (24736)Instruction limit reached!
% 18.11/3.16 % (24736)------------------------------
% 18.11/3.16 % (24736)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 18.11/3.17 % (24736)Termination reason: Unknown
% 18.11/3.17 % (24736)Termination phase: Property scanning
% 18.11/3.17
% 18.11/3.17 % (24736)Memory used [KB]: 2686
% 18.11/3.17 % (24736)Time elapsed: 0.026 s
% 18.11/3.17 % (24736)Instructions burned: 93 (million)
% 18.11/3.17 % (24736)------------------------------
% 18.11/3.17 % (24736)------------------------------
% 18.11/3.17 % (24737)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on theBenchmark for (2972ds/346Mi)
% 18.11/3.17 % (24730)Instruction limit reached!
% 18.11/3.17 % (24730)------------------------------
% 18.11/3.17 % (24730)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 18.11/3.17 % (24730)Termination reason: Unknown
% 18.11/3.17 % (24730)Termination phase: Saturation
% 18.11/3.17
% 18.11/3.17 % (24730)Memory used [KB]: 9466
% 18.11/3.17 % (24730)Time elapsed: 0.372 s
% 18.11/3.17 % (24730)Instructions burned: 1215 (million)
% 18.11/3.17 % (24730)------------------------------
% 18.11/3.17 % (24730)------------------------------
% 18.11/3.17 % (24738)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on theBenchmark for (2972ds/401Mi)
% 18.11/3.18 % (24731)Instruction limit reached!
% 18.11/3.18 % (24731)------------------------------
% 18.11/3.18 % (24731)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 18.11/3.18 % (24731)Termination reason: Unknown
% 18.11/3.18 % (24731)Termination phase: Function definition elimination
% 18.11/3.18
% 18.11/3.18 % (24731)Memory used [KB]: 3198
% 18.11/3.18 % (24731)Time elapsed: 0.367 s
% 18.11/3.18 % (24731)Instructions burned: 1984 (million)
% 18.11/3.18 % (24731)------------------------------
% 18.11/3.18 % (24731)------------------------------
% 18.11/3.18 % (24739)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on theBenchmark for (2971ds/6454Mi)
% 18.11/3.19 % (24740)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on theBenchmark for (2971ds/283Mi)
% 19.47/3.23 % (24739)Refutation not found, incomplete strategy
% 19.47/3.23 % (24739)------------------------------
% 19.47/3.23 % (24739)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 19.47/3.23 % (24739)Termination reason: Refutation not found, incomplete strategy
% 19.47/3.23
% 19.47/3.23
% 19.47/3.23 % (24739)Memory used [KB]: 7291
% 19.47/3.23 % (24739)Time elapsed: 0.046 s
% 19.47/3.23 % (24739)Instructions burned: 167 (million)
% 19.47/3.23 % (24739)------------------------------
% 19.47/3.23 % (24739)------------------------------
% 19.47/3.24 % (24741)ott+10_1:1_aac=none:apa=on:au=on:cnfonf=off:ntd=on:nwc=12.0:sos=on:i=865:si=on:rtra=on_0 on theBenchmark for (2971ds/865Mi)
% 19.47/3.24 % (24737)Instruction limit reached!
% 19.47/3.24 % (24737)------------------------------
% 19.47/3.24 % (24737)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 19.47/3.24 % (24737)Termination reason: Unknown
% 19.47/3.24 % (24737)Termination phase: Function definition elimination
% 19.47/3.24
% 19.47/3.24 % (24737)Memory used [KB]: 3070
% 19.47/3.24 % (24737)Time elapsed: 0.073 s
% 19.47/3.24 % (24737)Instructions burned: 346 (million)
% 19.47/3.24 % (24737)------------------------------
% 19.47/3.24 % (24737)------------------------------
% 19.47/3.25 % (24740)Instruction limit reached!
% 19.47/3.25 % (24740)------------------------------
% 19.47/3.25 % (24740)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 19.47/3.25 % (24740)Termination reason: Unknown
% 19.47/3.25 % (24740)Termination phase: Function definition elimination
% 19.47/3.25
% 19.47/3.25 % (24740)Memory used [KB]: 2942
% 19.47/3.25 % (24740)Time elapsed: 0.064 s
% 19.47/3.25 % (24740)Instructions burned: 285 (million)
% 19.47/3.25 % (24740)------------------------------
% 19.47/3.25 % (24740)------------------------------
% 19.47/3.25 % (24742)lrs+1002_3:4_au=on:av=off:cnfonf=off:fd=off:fsr=off:ins=2:sd=1:sos=on:ss=axioms:i=4528:si=on:rtra=on_0 on theBenchmark for (2971ds/4528Mi)
% 19.47/3.26 % (24738)Instruction limit reached!
% 19.47/3.26 % (24738)------------------------------
% 19.47/3.26 % (24738)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 19.47/3.26 % (24738)Termination reason: Unknown
% 19.47/3.26 % (24738)Termination phase: Function definition elimination
% 19.47/3.26
% 19.47/3.26 % (24738)Memory used [KB]: 3070
% 19.47/3.26 % (24738)Time elapsed: 0.083 s
% 19.47/3.26 % (24738)Instructions burned: 402 (million)
% 19.47/3.26 % (24738)------------------------------
% 19.47/3.26 % (24738)------------------------------
% 19.47/3.26 % (24743)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=1001:si=on:rtra=on_0 on theBenchmark for (2971ds/1001Mi)
% 19.47/3.26 % (24722)Instruction limit reached!
% 19.47/3.26 % (24722)------------------------------
% 19.47/3.26 % (24722)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 19.47/3.26 % (24722)Termination reason: Unknown
% 19.47/3.26 % (24722)Termination phase: Function definition elimination
% 19.47/3.26
% 19.47/3.26 % (24722)Memory used [KB]: 3198
% 19.47/3.26 % (24722)Time elapsed: 0.621 s
% 19.47/3.26 % (24722)Instructions burned: 3375 (million)
% 19.47/3.26 % (24722)------------------------------
% 19.47/3.26 % (24722)------------------------------
% 19.47/3.26 % (24744)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on theBenchmark for (2971ds/102Mi)
% 19.47/3.27 % (24746)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on theBenchmark for (2971ds/952Mi)
% 19.47/3.28 % (24742)Refutation not found, incomplete strategy
% 19.47/3.28 % (24742)------------------------------
% 19.47/3.28 % (24742)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 19.47/3.28 % (24742)Termination reason: Refutation not found, incomplete strategy
% 19.47/3.28
% 19.47/3.28
% 19.47/3.28 % (24742)Memory used [KB]: 2686
% 19.47/3.28 % (24742)Time elapsed: 0.031 s
% 19.47/3.28 % (24742)Instructions burned: 113 (million)
% 19.47/3.28 % (24742)------------------------------
% 19.47/3.28 % (24742)------------------------------
% 19.47/3.29 % (24744)Instruction limit reached!
% 19.47/3.29 % (24744)------------------------------
% 19.47/3.29 % (24744)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 19.47/3.29 % (24744)Termination reason: Unknown
% 19.47/3.29 % (24744)Termination phase: Property scanning
% 19.47/3.29
% 19.47/3.29 % (24744)Memory used [KB]: 2814
% 19.47/3.29 % (24744)Time elapsed: 0.027 s
% 19.47/3.29 % (24744)Instructions burned: 103 (million)
% 19.47/3.29 % (24744)------------------------------
% 19.47/3.29 % (24744)------------------------------
% 19.98/3.29 % (24747)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on theBenchmark for (2970ds/578Mi)
% 19.98/3.30 % (24748)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on theBenchmark for (2970ds/643Mi)
% 19.98/3.33 % (24735)Instruction limit reached!
% 19.98/3.33 % (24735)------------------------------
% 19.98/3.33 % (24735)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 19.98/3.33 % (24735)Termination reason: Unknown
% 19.98/3.33 % (24735)Termination phase: Function definition elimination
% 19.98/3.33
% 19.98/3.33 % (24735)Memory used [KB]: 3070
% 19.98/3.33 % (24735)Time elapsed: 0.312 s
% 19.98/3.33 % (24735)Instructions burned: 1675 (million)
% 19.98/3.33 % (24735)------------------------------
% 19.98/3.33 % (24735)------------------------------
% 19.98/3.34 % (24749)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on theBenchmark for (2970ds/865Mi)
% 21.10/3.40 % (24741)Instruction limit reached!
% 21.10/3.40 % (24741)------------------------------
% 21.10/3.40 % (24741)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 21.10/3.40 % (24741)Termination reason: Unknown
% 21.10/3.40 % (24741)Termination phase: Function definition elimination
% 21.10/3.40
% 21.10/3.40 % (24741)Memory used [KB]: 3198
% 21.10/3.40 % (24741)Time elapsed: 0.169 s
% 21.10/3.40 % (24741)Instructions burned: 867 (million)
% 21.10/3.40 % (24741)------------------------------
% 21.10/3.40 % (24741)------------------------------
% 21.19/3.41 % (24750)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on theBenchmark for (2969ds/1174Mi)
% 21.25/3.43 % (24748)Instruction limit reached!
% 21.25/3.43 % (24748)------------------------------
% 21.25/3.43 % (24748)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 21.25/3.43 % (24748)Termination reason: Unknown
% 21.25/3.43 % (24748)Termination phase: Function definition elimination
% 21.25/3.43
% 21.25/3.43 % (24748)Memory used [KB]: 3070
% 21.25/3.43 % (24748)Time elapsed: 0.129 s
% 21.25/3.43 % (24748)Instructions burned: 643 (million)
% 21.25/3.43 % (24748)------------------------------
% 21.25/3.43 % (24748)------------------------------
% 21.25/3.44 % (24751)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on theBenchmark for (2969ds/644Mi)
% 21.25/3.45 % (24743)Instruction limit reached!
% 21.25/3.45 % (24743)------------------------------
% 21.25/3.45 % (24743)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 21.25/3.45 % (24743)Termination reason: Unknown
% 21.25/3.45 % (24743)Termination phase: Function definition elimination
% 21.25/3.45
% 21.25/3.45 % (24743)Memory used [KB]: 3198
% 21.25/3.45 % (24743)Time elapsed: 0.192 s
% 21.25/3.45 % (24743)Instructions burned: 1002 (million)
% 21.25/3.45 % (24743)------------------------------
% 21.25/3.45 % (24743)------------------------------
% 21.25/3.45 % (24747)Instruction limit reached!
% 21.25/3.45 % (24747)------------------------------
% 21.25/3.45 % (24747)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 21.25/3.45 % (24747)Termination reason: Unknown
% 21.25/3.45 % (24747)Termination phase: Saturation
% 21.25/3.45
% 21.25/3.45 % (24747)Memory used [KB]: 8571
% 21.25/3.45 % (24747)Time elapsed: 0.183 s
% 21.25/3.45 % (24747)Instructions burned: 581 (million)
% 21.25/3.45 % (24747)------------------------------
% 21.25/3.45 % (24747)------------------------------
% 21.25/3.46 % (24746)Instruction limit reached!
% 21.25/3.46 % (24746)------------------------------
% 21.25/3.46 % (24746)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 21.25/3.46 % (24746)Termination reason: Unknown
% 21.25/3.46 % (24746)Termination phase: Function definition elimination
% 21.25/3.46
% 21.25/3.46 % (24746)Memory used [KB]: 3198
% 21.25/3.46 % (24746)Time elapsed: 0.189 s
% 21.25/3.46 % (24746)Instructions burned: 952 (million)
% 21.25/3.46 % (24746)------------------------------
% 21.25/3.46 % (24746)------------------------------
% 21.25/3.46 % (24752)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on theBenchmark for (2968ds/1201Mi)
% 21.25/3.46 % (24753)lrs+1666_1:64_cnfonf=lazy_simp:hud=5:plsq=on:plsql=on:plsqr=152565,524288:tnu=2:i=1046:si=on:rtra=on_0 on theBenchmark for (2968ds/1046Mi)
% 21.25/3.47 % (24754)lrs+1010_1:1_c=on:cnfonf=lazy_simp:fsr=off:hud=5:kws=arity:nm=32:plsq=on:plsqc=1:plsqr=642,29:prag=on:i=222:si=on:rtra=on_0 on theBenchmark for (2968ds/222Mi)
% 21.56/3.51 % (24749)Instruction limit reached!
% 21.56/3.51 % (24749)------------------------------
% 21.56/3.51 % (24749)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 21.56/3.51 % (24749)Termination reason: Unknown
% 21.56/3.51 % (24749)Termination phase: Function definition elimination
% 21.56/3.51
% 21.56/3.51 % (24749)Memory used [KB]: 3198
% 21.56/3.51 % (24749)Time elapsed: 0.173 s
% 21.56/3.51 % (24749)Instructions burned: 869 (million)
% 21.56/3.51 % (24749)------------------------------
% 21.56/3.51 % (24749)------------------------------
% 21.56/3.52 % (24754)Instruction limit reached!
% 21.56/3.52 % (24754)------------------------------
% 21.56/3.52 % (24754)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 21.56/3.52 % (24754)Termination reason: Unknown
% 21.56/3.52 % (24754)Termination phase: Function definition elimination
% 21.56/3.52
% 21.56/3.52 % (24754)Memory used [KB]: 3070
% 21.56/3.52 % (24754)Time elapsed: 0.052 s
% 21.56/3.52 % (24754)Instructions burned: 226 (million)
% 21.56/3.52 % (24754)------------------------------
% 21.56/3.52 % (24754)------------------------------
% 21.56/3.52 % (24755)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 (2968ds/68Mi)
% 21.56/3.52 % (24756)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=454:si=on:rtra=on_0 on theBenchmark for (2968ds/454Mi)
% 21.56/3.54 % (24755)Instruction limit reached!
% 21.56/3.54 % (24755)------------------------------
% 21.56/3.54 % (24755)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 21.56/3.54 % (24755)Termination reason: Unknown
% 21.56/3.54 % (24755)Termination phase: Property scanning
% 21.56/3.54
% 21.56/3.54 % (24755)Memory used [KB]: 2686
% 21.56/3.54 % (24755)Time elapsed: 0.021 s
% 21.56/3.54 % (24755)Instructions burned: 71 (million)
% 21.56/3.54 % (24755)------------------------------
% 21.56/3.54 % (24755)------------------------------
% 21.56/3.55 % (24757)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on theBenchmark for (2968ds/360Mi)
% 21.56/3.56 % (24751)Instruction limit reached!
% 21.56/3.56 % (24751)------------------------------
% 21.56/3.56 % (24751)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 21.56/3.56 % (24751)Termination reason: Unknown
% 21.56/3.56 % (24751)Termination phase: Function definition elimination
% 21.56/3.56
% 21.56/3.56 % (24751)Memory used [KB]: 3198
% 21.56/3.56 % (24751)Time elapsed: 0.130 s
% 21.56/3.56 % (24751)Instructions burned: 647 (million)
% 21.56/3.56 % (24751)------------------------------
% 21.56/3.56 % (24751)------------------------------
% 21.56/3.57 % (24758)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 (2967ds/157Mi)
% 21.86/3.61 % (24758)Instruction limit reached!
% 21.86/3.61 % (24758)------------------------------
% 21.86/3.61 % (24758)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 21.86/3.61 % (24758)Termination reason: Unknown
% 21.86/3.61 % (24758)Termination phase: Function definition elimination
% 21.86/3.61
% 21.86/3.61 % (24758)Memory used [KB]: 2814
% 21.86/3.61 % (24758)Time elapsed: 0.041 s
% 21.86/3.61 % (24758)Instructions burned: 158 (million)
% 21.86/3.61 % (24758)------------------------------
% 21.86/3.61 % (24758)------------------------------
% 21.86/3.62 % (24756)Instruction limit reached!
% 21.86/3.62 % (24756)------------------------------
% 21.86/3.62 % (24756)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 21.86/3.62 % (24756)Termination reason: Unknown
% 21.86/3.62 % (24756)Termination phase: Function definition elimination
% 21.86/3.62
% 21.86/3.62 % (24756)Memory used [KB]: 3070
% 21.86/3.62 % (24756)Time elapsed: 0.094 s
% 21.86/3.62 % (24756)Instructions burned: 458 (million)
% 21.86/3.62 % (24756)------------------------------
% 21.86/3.62 % (24756)------------------------------
% 21.86/3.62 % (24759)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=5061:si=on:rtra=on_0 on theBenchmark for (2967ds/5061Mi)
% 21.86/3.62 % (24757)Instruction limit reached!
% 21.86/3.62 % (24757)------------------------------
% 21.86/3.62 % (24757)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 21.86/3.62 % (24757)Termination reason: Unknown
% 21.86/3.62 % (24757)Termination phase: Function definition elimination
% 21.86/3.62
% 21.86/3.62 % (24757)Memory used [KB]: 3070
% 21.86/3.62 % (24757)Time elapsed: 0.076 s
% 21.86/3.62 % (24757)Instructions burned: 360 (million)
% 21.86/3.62 % (24757)------------------------------
% 21.86/3.62 % (24757)------------------------------
% 21.86/3.63 % (24760)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on theBenchmark for (2967ds/2401Mi)
% 21.86/3.63 % (24761)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on theBenchmark for (2967ds/5798Mi)
% 21.86/3.64 % (24750)Instruction limit reached!
% 21.86/3.64 % (24750)------------------------------
% 21.86/3.64 % (24750)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 21.86/3.64 % (24750)Termination reason: Unknown
% 21.86/3.64 % (24750)Termination phase: Function definition elimination
% 21.86/3.64
% 21.86/3.64 % (24750)Memory used [KB]: 3198
% 21.86/3.64 % (24750)Time elapsed: 0.226 s
% 21.86/3.64 % (24750)Instructions burned: 1177 (million)
% 21.86/3.64 % (24750)------------------------------
% 21.86/3.64 % (24750)------------------------------
% 21.86/3.65 % (24762)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on theBenchmark for (2967ds/346Mi)
% 21.86/3.66 % (24753)Instruction limit reached!
% 21.86/3.66 % (24753)------------------------------
% 21.86/3.66 % (24753)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 21.86/3.66 % (24753)Termination reason: Unknown
% 21.86/3.66 % (24753)Termination phase: Function definition elimination
% 21.86/3.66
% 21.86/3.66 % (24753)Memory used [KB]: 3070
% 21.86/3.66 % (24753)Time elapsed: 0.202 s
% 21.86/3.66 % (24753)Instructions burned: 1049 (million)
% 21.86/3.66 % (24753)------------------------------
% 21.86/3.66 % (24753)------------------------------
% 21.86/3.67 % (24763)lrs+1002_1:1_av=off:bd=off:bet=on:e2e=on:fde=unused:fe=off:plsq=on:prag=on:sos=on:i=1321:si=on:rtra=on_0 on theBenchmark for (2966ds/1321Mi)
% 22.65/3.69 % (24752)Instruction limit reached!
% 22.65/3.69 % (24752)------------------------------
% 22.65/3.69 % (24752)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 22.65/3.69 % (24752)Termination reason: Unknown
% 22.65/3.69 % (24752)Termination phase: Function definition elimination
% 22.65/3.69
% 22.65/3.69 % (24752)Memory used [KB]: 3198
% 22.65/3.69 % (24752)Time elapsed: 0.232 s
% 22.65/3.69 % (24752)Instructions burned: 1205 (million)
% 22.65/3.69 % (24752)------------------------------
% 22.65/3.69 % (24752)------------------------------
% 22.65/3.70 % (24764)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on theBenchmark for (2966ds/1312Mi)
% 22.94/3.72 % (24762)Instruction limit reached!
% 22.94/3.72 % (24762)------------------------------
% 22.94/3.72 % (24762)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 22.94/3.72 % (24762)Termination reason: Unknown
% 22.94/3.72 % (24762)Termination phase: Function definition elimination
% 22.94/3.72
% 22.94/3.72 % (24762)Memory used [KB]: 3070
% 22.94/3.72 % (24762)Time elapsed: 0.074 s
% 22.94/3.72 % (24762)Instructions burned: 348 (million)
% 22.94/3.72 % (24762)------------------------------
% 22.94/3.72 % (24762)------------------------------
% 22.94/3.73 % (24765)ott+2_8:1_add=large:c=on:cnfonf=off:e2e=on:er=filter:hud=5:plsq=on:plsqr=1,1:ss=axioms:i=672:si=on:rtra=on_0 on theBenchmark for (2966ds/672Mi)
% 22.94/3.73 % (24763)Refutation not found, incomplete strategy
% 22.94/3.73 % (24763)------------------------------
% 22.94/3.73 % (24763)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 22.94/3.73 % (24763)Termination reason: Refutation not found, incomplete strategy
% 22.94/3.73
% 22.94/3.73
% 22.94/3.73 % (24763)Memory used [KB]: 3198
% 22.94/3.73 % (24763)Time elapsed: 0.065 s
% 22.94/3.73 % (24763)Instructions burned: 239 (million)
% 22.94/3.73 % (24763)------------------------------
% 22.94/3.73 % (24763)------------------------------
% 22.94/3.74 % (24766)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=1897:si=on:rtra=on_0 on theBenchmark for (2966ds/1897Mi)
% 22.94/3.80 % (24766)Refutation not found, incomplete strategy
% 22.94/3.80 % (24766)------------------------------
% 22.94/3.80 % (24766)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 22.94/3.80 % (24766)Termination reason: Refutation not found, incomplete strategy
% 22.94/3.80
% 22.94/3.80
% 22.94/3.80 % (24766)Memory used [KB]: 7675
% 22.94/3.80 % (24766)Time elapsed: 0.061 s
% 22.94/3.80 % (24766)Instructions burned: 229 (million)
% 22.94/3.80 % (24766)------------------------------
% 22.94/3.80 % (24766)------------------------------
% 23.24/3.81 % (24767)lrs+10_1:40_av=off:fde=unused:ntd=on:plsq=on:plsqc=2:plsqr=411915,1048576:sp=unary_frequency:tgt=full:i=1202:si=on:rtra=on_0 on theBenchmark for (2965ds/1202Mi)
% 23.32/3.92 % (24765)Instruction limit reached!
% 23.32/3.92 % (24765)------------------------------
% 23.32/3.92 % (24765)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 23.32/3.92 % (24765)Termination reason: Unknown
% 23.32/3.92 % (24765)Termination phase: Saturation
% 23.32/3.92
% 23.32/3.92 % (24765)Memory used [KB]: 8955
% 23.32/3.92 % (24765)Time elapsed: 0.189 s
% 23.32/3.92 % (24765)Instructions burned: 673 (million)
% 23.32/3.92 % (24765)------------------------------
% 23.32/3.92 % (24765)------------------------------
% 23.32/3.93 % (24768)dis+21_1:1_au=on:cnfonf=lazy_pi_sigma_gen:hfsq=on:hfsqc=40:hfsqr=8,1:ntd=on:sos=on:sp=occurrence:ss=axioms:i=1493:si=on:rtra=on_0 on theBenchmark for (2964ds/1493Mi)
% 23.32/3.94 % (24764)Instruction limit reached!
% 23.32/3.94 % (24764)------------------------------
% 23.32/3.94 % (24764)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 23.32/3.94 % (24764)Termination reason: Unknown
% 23.32/3.94 % (24764)Termination phase: Function definition elimination
% 23.32/3.94
% 23.32/3.94 % (24764)Memory used [KB]: 3070
% 23.32/3.94 % (24764)Time elapsed: 0.247 s
% 23.32/3.94 % (24764)Instructions burned: 1312 (million)
% 23.32/3.94 % (24764)------------------------------
% 23.32/3.94 % (24764)------------------------------
% 23.32/3.95 % (24769)dis+1010_3:1_av=off:fde=unused:hud=10:nwc=10.0:s2a=on:ss=axioms:i=7679:si=on:rtra=on_0 on theBenchmark for (2964ds/7679Mi)
% 25.19/3.99 % (24768)Refutation not found, incomplete strategy
% 25.19/3.99 % (24768)------------------------------
% 25.19/3.99 % (24768)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 25.19/3.99 % (24768)Termination reason: Refutation not found, incomplete strategy
% 25.19/3.99
% 25.19/3.99
% 25.19/3.99 % (24768)Memory used [KB]: 7803
% 25.19/3.99 % (24768)Time elapsed: 0.062 s
% 25.19/3.99 % (24768)Instructions burned: 236 (million)
% 25.19/3.99 % (24768)------------------------------
% 25.19/3.99 % (24768)------------------------------
% 25.19/4.00 % (24770)lrs+2_1:1024_anc=all:cnfonf=off:cs=on:e2e=on:nm=20:s2at=1.5:slsq=on:slsqr=1,2:spb=goal:i=340:si=on:rtra=on_0 on theBenchmark for (2963ds/340Mi)
% 25.44/4.07 % (24760)Instruction limit reached!
% 25.44/4.07 % (24760)------------------------------
% 25.44/4.07 % (24760)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 25.44/4.07 % (24760)Termination reason: Unknown
% 25.44/4.07 % (24760)Termination phase: Function definition elimination
% 25.44/4.07
% 25.44/4.07 % (24760)Memory used [KB]: 3198
% 25.44/4.07 % (24760)Time elapsed: 0.443 s
% 25.44/4.07 % (24760)Instructions burned: 2406 (million)
% 25.44/4.07 % (24760)------------------------------
% 25.44/4.07 % (24760)------------------------------
% 25.44/4.07 % (24770)Instruction limit reached!
% 25.44/4.07 % (24770)------------------------------
% 25.44/4.07 % (24770)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 25.44/4.07 % (24770)Termination reason: Unknown
% 25.44/4.07 % (24770)Termination phase: Function definition elimination
% 25.44/4.07
% 25.44/4.07 % (24770)Memory used [KB]: 2942
% 25.44/4.07 % (24770)Time elapsed: 0.075 s
% 25.44/4.07 % (24770)Instructions burned: 341 (million)
% 25.44/4.07 % (24770)------------------------------
% 25.44/4.07 % (24770)------------------------------
% 25.44/4.08 % (24771)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=3672:si=on:rtra=on_0 on theBenchmark for (2962ds/3672Mi)
% 25.44/4.08 % (24772)dis-1002_3:1_acc=model:bd=off:bsd=on:bsdmm=1:cnfonf=lazy_not_be_gen:fd=off:fe=off:ntd=on:nwc=10.0:piset=equals:plsq=on:plsqc=1:plsqr=32,1:sp=const_max:uhcvi=on:i=1535:si=on:rtra=on_0 on theBenchmark for (2962ds/1535Mi)
% 26.06/4.17 % (24767)Instruction limit reached!
% 26.06/4.17 % (24767)------------------------------
% 26.06/4.17 % (24767)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 26.06/4.17 % (24767)Termination reason: Unknown
% 26.06/4.17 % (24767)Termination phase: Saturation
% 26.06/4.17
% 26.06/4.17 % (24767)Memory used [KB]: 3965
% 26.06/4.17 % (24767)Time elapsed: 0.360 s
% 26.06/4.17 % (24767)Instructions burned: 1203 (million)
% 26.06/4.17 % (24767)------------------------------
% 26.06/4.17 % (24767)------------------------------
% 26.06/4.18 % (24773)dis+10_16:1_hud=1:plsq=on:plsqc=1:plsqr=32,1:prag=on:sd=1:sgt=64:ss=axioms:i=4637:si=on:rtra=on_0 on theBenchmark for (2961ds/4637Mi)
% 26.84/4.32 % (24695)Instruction limit reached!
% 26.84/4.32 % (24695)------------------------------
% 26.84/4.32 % (24695)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 26.84/4.32 % (24695)Termination reason: Unknown
% 26.84/4.32 % (24695)Termination phase: Saturation
% 26.84/4.32
% 26.84/4.32 % (24695)Memory used [KB]: 15479
% 26.84/4.32 % (24695)Time elapsed: 2.664 s
% 26.84/4.32 % (24695)Instructions burned: 8250 (million)
% 26.84/4.32 % (24695)------------------------------
% 26.84/4.32 % (24695)------------------------------
% 26.94/4.33 % (24774)lrs+10_1:1_fde=unused:prag=on:sd=2:sgt=32:ss=axioms:i=3174:si=on:rtra=on_0 on theBenchmark for (2960ds/3174Mi)
% 26.94/4.37 % (24772)Instruction limit reached!
% 26.94/4.37 % (24772)------------------------------
% 26.94/4.37 % (24772)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 26.94/4.37 % (24772)Termination reason: Unknown
% 26.94/4.37 % (24772)Termination phase: Function definition elimination
% 26.94/4.37
% 26.94/4.37 % (24772)Memory used [KB]: 3070
% 26.94/4.37 % (24772)Time elapsed: 0.289 s
% 26.94/4.37 % (24772)Instructions burned: 1539 (million)
% 26.94/4.37 % (24772)------------------------------
% 26.94/4.37 % (24772)------------------------------
% 26.94/4.38 % (24775)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on theBenchmark for (2959ds/307Mi)
% 27.53/4.44 % (24775)Instruction limit reached!
% 27.53/4.44 % (24775)------------------------------
% 27.53/4.44 % (24775)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 27.53/4.44 % (24775)Termination reason: Unknown
% 27.53/4.44 % (24775)Termination phase: Function definition elimination
% 27.53/4.44
% 27.53/4.44 % (24775)Memory used [KB]: 3070
% 27.53/4.44 % (24775)Time elapsed: 0.068 s
% 27.53/4.44 % (24775)Instructions burned: 308 (million)
% 27.53/4.44 % (24775)------------------------------
% 27.53/4.44 % (24775)------------------------------
% 27.53/4.45 % (24776)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=3619:si=on:rtra=on_0 on theBenchmark for (2959ds/3619Mi)
% 27.82/4.51 % (24776)Refutation not found, incomplete strategy
% 27.82/4.51 % (24776)------------------------------
% 27.82/4.51 % (24776)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 27.82/4.51 % (24776)Termination reason: Refutation not found, incomplete strategy
% 27.82/4.51
% 27.82/4.51
% 27.82/4.51 % (24776)Memory used [KB]: 7547
% 27.82/4.51 % (24776)Time elapsed: 0.059 s
% 27.82/4.51 % (24776)Instructions burned: 217 (million)
% 27.82/4.51 % (24776)------------------------------
% 27.82/4.51 % (24776)------------------------------
% 27.82/4.52 % (24777)lrs+1002_1:1_au=on:cbe=off:fde=none:ins=1:sp=const_max:i=2325:si=on:rtra=on_0 on theBenchmark for (2958ds/2325Mi)
% 27.82/4.55 % (24759)Instruction limit reached!
% 27.82/4.55 % (24759)------------------------------
% 27.82/4.55 % (24759)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 27.82/4.55 % (24759)Termination reason: Unknown
% 27.82/4.55 % (24759)Termination phase: Function definition elimination
% 27.82/4.55
% 27.82/4.55 % (24759)Memory used [KB]: 3070
% 27.82/4.55 % (24759)Time elapsed: 0.928 s
% 27.82/4.55 % (24759)Instructions burned: 5061 (million)
% 27.82/4.55 % (24759)------------------------------
% 27.82/4.55 % (24759)------------------------------
% 27.82/4.56 % (24778)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2341:si=on:rtra=on_0 on theBenchmark for (2958ds/2341Mi)
% 29.66/4.68 % (24761)Instruction limit reached!
% 29.66/4.68 % (24761)------------------------------
% 29.66/4.68 % (24761)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 29.66/4.68 % (24761)Termination reason: Unknown
% 29.66/4.68 % (24761)Termination phase: Function definition elimination
% 29.66/4.68
% 29.66/4.68 % (24761)Memory used [KB]: 3198
% 29.66/4.68 % (24761)Time elapsed: 1.047 s
% 29.66/4.68 % (24761)Instructions burned: 5800 (million)
% 29.66/4.68 % (24761)------------------------------
% 29.66/4.68 % (24761)------------------------------
% 29.66/4.69 % (24779)lrs+1010_1:16_apa=on:bsd=on:cnfonf=off:hud=10:sac=on:sos=on:ss=axioms:i=7257:si=on:rtra=on_0 on theBenchmark for (2956ds/7257Mi)
% 33.56/5.19 % (24777)Instruction limit reached!
% 33.56/5.19 % (24777)------------------------------
% 33.56/5.19 % (24777)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 33.56/5.19 % (24777)Termination reason: Unknown
% 33.56/5.19 % (24777)Termination phase: Saturation
% 33.56/5.19
% 33.56/5.19 % (24777)Memory used [KB]: 10362
% 33.56/5.19 % (24777)Time elapsed: 0.674 s
% 33.56/5.19 % (24777)Instructions burned: 2326 (million)
% 33.56/5.19 % (24777)------------------------------
% 33.56/5.19 % (24777)------------------------------
% 33.68/5.20 % (24780)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=3710:si=on:rtra=on_0 on theBenchmark for (2951ds/3710Mi)
% 33.76/5.22 % (24771)Instruction limit reached!
% 33.76/5.22 % (24771)------------------------------
% 33.76/5.22 % (24771)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 33.76/5.22 % (24771)Termination reason: Unknown
% 33.76/5.22 % (24771)Termination phase: Saturation
% 33.76/5.22
% 33.76/5.22 % (24771)Memory used [KB]: 14328
% 33.76/5.22 % (24771)Time elapsed: 1.148 s
% 33.76/5.22 % (24771)Instructions burned: 3672 (million)
% 33.76/5.22 % (24771)------------------------------
% 33.76/5.22 % (24771)------------------------------
% 33.76/5.23 % (24781)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=326:si=on:rtra=on_0 on theBenchmark for (2951ds/326Mi)
% 33.76/5.24 % (24774)Instruction limit reached!
% 33.76/5.24 % (24774)------------------------------
% 33.76/5.24 % (24774)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 33.76/5.24 % (24774)Termination reason: Unknown
% 33.76/5.24 % (24774)Termination phase: Saturation
% 33.76/5.24
% 33.76/5.24 % (24774)Memory used [KB]: 9850
% 33.76/5.24 % (24774)Time elapsed: 0.911 s
% 33.76/5.24 % (24774)Instructions burned: 3177 (million)
% 33.76/5.24 % (24774)------------------------------
% 33.76/5.24 % (24774)------------------------------
% 33.76/5.25 % (24782)lrs+1010_1:64_au=on:c=on:e2e=on:flr=on:hfsq=on:hfsql=off:hfsqr=4,1:ins=1:ntd=on:sp=occurrence:i=1100:si=on:rtra=on_0 on theBenchmark for (2951ds/1100Mi)
% 34.18/5.32 % (24778)Instruction limit reached!
% 34.18/5.32 % (24778)------------------------------
% 34.18/5.32 % (24778)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 34.18/5.32 % (24778)Termination reason: Unknown
% 34.18/5.32 % (24778)Termination phase: Saturation
% 34.18/5.32
% 34.18/5.32 % (24778)Memory used [KB]: 12409
% 34.18/5.32 % (24778)Time elapsed: 0.762 s
% 34.18/5.32 % (24778)Instructions burned: 2341 (million)
% 34.18/5.32 % (24778)------------------------------
% 34.18/5.32 % (24778)------------------------------
% 34.18/5.33 % (24781)Instruction limit reached!
% 34.18/5.33 % (24781)------------------------------
% 34.18/5.33 % (24781)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 34.18/5.33 % (24781)Termination reason: Unknown
% 34.18/5.33 % (24781)Termination phase: Saturation
% 34.18/5.33
% 34.18/5.33 % (24781)Memory used [KB]: 8187
% 34.18/5.33 % (24781)Time elapsed: 0.098 s
% 34.18/5.33 % (24781)Instructions burned: 326 (million)
% 34.18/5.33 % (24781)------------------------------
% 34.18/5.33 % (24781)------------------------------
% 34.18/5.33 % (24783)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on theBenchmark for (2950ds/406Mi)
% 34.18/5.34 % (24784)dis+1010_1:1_aac=none:bd=preordered:e2e=on:fde=none:fe=axiom:nm=16:nwc=10.0:prag=on:i=1871:si=on:rtra=on_0 on theBenchmark for (2950ds/1871Mi)
% 34.56/5.45 % (24783)Instruction limit reached!
% 34.56/5.45 % (24783)------------------------------
% 34.56/5.45 % (24783)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 34.56/5.45 % (24783)Termination reason: Unknown
% 34.56/5.45 % (24783)Termination phase: Saturation
% 34.56/5.45
% 34.56/5.45 % (24783)Memory used [KB]: 8187
% 34.56/5.45 % (24783)Time elapsed: 0.117 s
% 34.56/5.45 % (24783)Instructions burned: 407 (million)
% 34.56/5.45 % (24783)------------------------------
% 34.56/5.45 % (24783)------------------------------
% 34.56/5.46 % (24782)Instruction limit reached!
% 34.56/5.46 % (24782)------------------------------
% 34.56/5.46 % (24782)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 34.56/5.46 % (24782)Termination reason: Unknown
% 34.56/5.46 % (24782)Termination phase: Function definition elimination
% 34.56/5.46
% 34.56/5.46 % (24782)Memory used [KB]: 3198
% 34.56/5.46 % (24782)Time elapsed: 0.210 s
% 34.56/5.46 % (24782)Instructions burned: 1100 (million)
% 34.56/5.46 % (24782)------------------------------
% 34.56/5.46 % (24782)------------------------------
% 34.56/5.46 % (24785)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1194:si=on:rtra=on_0 on theBenchmark for (2949ds/1194Mi)
% 34.56/5.46 % (24786)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 (2949ds/474Mi)
% 34.56/5.48 % (24773)Instruction limit reached!
% 34.56/5.48 % (24773)------------------------------
% 34.56/5.48 % (24773)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 34.56/5.48 % (24773)Termination reason: Unknown
% 34.56/5.48 % (24773)Termination phase: Saturation
% 34.56/5.48
% 34.56/5.48 % (24773)Memory used [KB]: 11129
% 34.56/5.48 % (24773)Time elapsed: 1.298 s
% 34.56/5.48 % (24773)Instructions burned: 4639 (million)
% 34.56/5.48 % (24773)------------------------------
% 34.56/5.48 % (24773)------------------------------
% 35.21/5.49 % (24787)dis+1010_1:1_au=on:cnfonf=lazy_gen:ins=3:plsq=on:plsqc=1:plsqr=15142123,262144:sp=reverse_arity:i=3115:si=on:rtra=on_0 on theBenchmark for (2948ds/3115Mi)
% 35.27/5.56 % (24786)Instruction limit reached!
% 35.27/5.56 % (24786)------------------------------
% 35.27/5.56 % (24786)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 35.27/5.56 % (24786)Termination reason: Unknown
% 35.27/5.56 % (24786)Termination phase: Function definition elimination
% 35.27/5.56
% 35.27/5.56 % (24786)Memory used [KB]: 3070
% 35.27/5.56 % (24786)Time elapsed: 0.097 s
% 35.27/5.56 % (24786)Instructions burned: 476 (million)
% 35.27/5.56 % (24786)------------------------------
% 35.27/5.56 % (24786)------------------------------
% 35.27/5.57 % (24788)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=831:si=on:rtra=on_0 on theBenchmark for (2948ds/831Mi)
% 37.17/5.71 % (24785)Instruction limit reached!
% 37.17/5.71 % (24785)------------------------------
% 37.17/5.71 % (24785)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 37.17/5.71 % (24785)Termination reason: Unknown
% 37.17/5.71 % (24785)Termination phase: Function definition elimination
% 37.17/5.71
% 37.17/5.71 % (24785)Memory used [KB]: 3198
% 37.17/5.71 % (24785)Time elapsed: 0.242 s
% 37.17/5.71 % (24785)Instructions burned: 1195 (million)
% 37.17/5.71 % (24785)------------------------------
% 37.17/5.71 % (24785)------------------------------
% 37.17/5.72 % (24789)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on theBenchmark for (2946ds/1188Mi)
% 37.17/5.73 % (24788)Instruction limit reached!
% 37.17/5.73 % (24788)------------------------------
% 37.17/5.73 % (24788)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 37.17/5.73 % (24788)Termination reason: Unknown
% 37.17/5.73 % (24788)Termination phase: Function definition elimination
% 37.17/5.73
% 37.17/5.73 % (24788)Memory used [KB]: 3198
% 37.17/5.73 % (24788)Time elapsed: 0.164 s
% 37.17/5.73 % (24788)Instructions burned: 832 (million)
% 37.17/5.73 % (24788)------------------------------
% 37.17/5.73 % (24788)------------------------------
% 37.17/5.74 % (24790)ott+1010_1:20_cnfonf=lazy_pi_sigma_gen:fe=axiom:plsq=on:plsqc=2:plsqr=32,1:sac=on:sos=all:i=2868:si=on:rtra=on_0 on theBenchmark for (2946ds/2868Mi)
% 37.71/5.88 % (24780)Instruction limit reached!
% 37.71/5.88 % (24780)------------------------------
% 37.71/5.88 % (24780)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 37.71/5.88 % (24780)Termination reason: Unknown
% 37.71/5.88 % (24780)Termination phase: Function definition elimination
% 37.71/5.88
% 37.71/5.88 % (24780)Memory used [KB]: 3070
% 37.71/5.88 % (24780)Time elapsed: 0.675 s
% 37.71/5.88 % (24780)Instructions burned: 3714 (million)
% 37.71/5.88 % (24780)------------------------------
% 37.71/5.88 % (24780)------------------------------
% 37.71/5.88 % (24791)dis+10_1:4_atotf=0.1:avsq=on:bsr=unit_only:e2e=on:sd=1:sp=const_max:ss=axioms:i=1516:si=on:rtra=on_0 on theBenchmark for (2944ds/1516Mi)
% 38.19/5.92 % (24784)Instruction limit reached!
% 38.19/5.92 % (24784)------------------------------
% 38.19/5.92 % (24784)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 38.19/5.92 % (24784)Termination reason: Unknown
% 38.19/5.92 % (24784)Termination phase: Saturation
% 38.19/5.92
% 38.19/5.92 % (24784)Memory used [KB]: 11001
% 38.19/5.92 % (24784)Time elapsed: 0.586 s
% 38.19/5.92 % (24784)Instructions burned: 1873 (million)
% 38.19/5.92 % (24784)------------------------------
% 38.19/5.92 % (24784)------------------------------
% 38.19/5.93 % (24792)lrs+1002_1:20_afp=1000:au=on:bsd=on:cnfonf=lazy_not_gen_be_off:sos=all:sp=const_max:i=2321:si=on:rtra=on_0 on theBenchmark for (2944ds/2321Mi)
% 38.19/5.94 % (24789)Instruction limit reached!
% 38.19/5.94 % (24789)------------------------------
% 38.19/5.94 % (24789)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 38.19/5.94 % (24789)Termination reason: Unknown
% 38.19/5.94 % (24789)Termination phase: Function definition elimination
% 38.19/5.94
% 38.19/5.94 % (24789)Memory used [KB]: 3070
% 38.19/5.94 % (24789)Time elapsed: 0.228 s
% 38.19/5.94 % (24789)Instructions burned: 1191 (million)
% 38.19/5.94 % (24789)------------------------------
% 38.19/5.94 % (24789)------------------------------
% 38.19/5.95 % (24793)dis+1010_1:1_au=on:bd=off:bsd=on:ixr=off:sp=const_max:i=2812:si=on:rtra=on_0 on theBenchmark for (2944ds/2812Mi)
% 38.78/6.06 % (24787)Instruction limit reached!
% 38.78/6.06 % (24787)------------------------------
% 38.78/6.06 % (24787)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 38.78/6.06 % (24787)Termination reason: Unknown
% 38.78/6.06 % (24787)Termination phase: Function definition elimination
% 38.78/6.06
% 38.78/6.06 % (24787)Memory used [KB]: 3070
% 38.78/6.06 % (24787)Time elapsed: 0.573 s
% 38.78/6.06 % (24787)Instructions burned: 3116 (million)
% 38.78/6.06 % (24787)------------------------------
% 38.78/6.06 % (24787)------------------------------
% 38.78/6.07 % (24794)dis+1002_8:1_bd=off:sd=1:sgt=16:ss=axioms:i=4604:si=on:rtra=on_0 on theBenchmark for (2942ds/4604Mi)
% 39.05/6.16 % (24769)Instruction limit reached!
% 39.05/6.16 % (24769)------------------------------
% 39.05/6.16 % (24769)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 39.05/6.16 % (24769)Termination reason: Unknown
% 39.05/6.16 % (24769)Termination phase: Saturation
% 39.05/6.16
% 39.05/6.16 % (24769)Memory used [KB]: 9338
% 39.05/6.16 % (24769)Time elapsed: 2.213 s
% 39.05/6.16 % (24769)Instructions burned: 7680 (million)
% 39.05/6.16 % (24769)------------------------------
% 39.05/6.16 % (24769)------------------------------
% 39.05/6.17 % (24795)ott+1002_1:4_c=on:chr=on:cnfonf=lazy_not_be_gen:hud=10:nm=10:piset=all_but_not_eq:rp=on:spb=goal:uhcvi=on:i=2678:si=on:rtra=on_0 on theBenchmark for (2941ds/2678Mi)
% 39.23/6.27 % (24790)Instruction limit reached!
% 39.23/6.27 % (24790)------------------------------
% 39.23/6.27 % (24790)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 39.23/6.27 % (24790)Termination reason: Unknown
% 39.23/6.27 % (24790)Termination phase: Function definition elimination
% 39.23/6.27
% 39.23/6.27 % (24790)Memory used [KB]: 3070
% 39.23/6.27 % (24790)Time elapsed: 0.526 s
% 39.23/6.27 % (24790)Instructions burned: 2868 (million)
% 39.23/6.27 % (24790)------------------------------
% 39.23/6.27 % (24790)------------------------------
% 39.23/6.27 % (24796)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on theBenchmark for (2940ds/643Mi)
% 41.44/6.35 % (24791)Instruction limit reached!
% 41.44/6.35 % (24791)------------------------------
% 41.44/6.35 % (24791)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 41.44/6.35 % (24791)Termination reason: Unknown
% 41.44/6.35 % (24791)Termination phase: Saturation
% 41.44/6.35
% 41.44/6.35 % (24791)Memory used [KB]: 10106
% 41.44/6.35 % (24791)Time elapsed: 0.489 s
% 41.44/6.35 % (24791)Instructions burned: 1517 (million)
% 41.44/6.35 % (24791)------------------------------
% 41.44/6.35 % (24791)------------------------------
% 41.44/6.36 % (24797)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=458:si=on:rtra=on_0 on theBenchmark for (2939ds/458Mi)
% 41.44/6.36 % (24792)Instruction limit reached!
% 41.44/6.36 % (24792)------------------------------
% 41.44/6.36 % (24792)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 41.44/6.36 % (24792)Termination reason: Unknown
% 41.44/6.36 % (24792)Termination phase: Function definition elimination
% 41.44/6.36
% 41.44/6.36 % (24792)Memory used [KB]: 3070
% 41.44/6.36 % (24792)Time elapsed: 0.429 s
% 41.44/6.36 % (24792)Instructions burned: 2325 (million)
% 41.44/6.36 % (24792)------------------------------
% 41.44/6.36 % (24792)------------------------------
% 41.44/6.37 % (24798)lrs+1010_1:1_anc=all_dependent:apa=on:au=on:bd=off:c=on:cnfonf=off:ntd=on:i=2546:si=on:rtra=on_0 on theBenchmark for (2939ds/2546Mi)
% 41.99/6.40 % (24796)Instruction limit reached!
% 41.99/6.40 % (24796)------------------------------
% 41.99/6.40 % (24796)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 41.99/6.40 % (24796)Termination reason: Unknown
% 41.99/6.40 % (24796)Termination phase: Function definition elimination
% 41.99/6.40
% 41.99/6.40 % (24796)Memory used [KB]: 3070
% 41.99/6.40 % (24796)Time elapsed: 0.132 s
% 41.99/6.40 % (24796)Instructions burned: 646 (million)
% 41.99/6.40 % (24796)------------------------------
% 41.99/6.40 % (24796)------------------------------
% 41.99/6.41 % (24799)dis+21_1:1_acc=model:au=on:cnfonf=lazy_gen:ins=2:plsq=on:plsqc=1:plsqr=32,1:i=1432:si=on:rtra=on_0 on theBenchmark for (2939ds/1432Mi)
% 41.99/6.45 % (24797)Instruction limit reached!
% 41.99/6.45 % (24797)------------------------------
% 41.99/6.45 % (24797)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 41.99/6.45 % (24797)Termination reason: Unknown
% 41.99/6.45 % (24797)Termination phase: Function definition elimination
% 41.99/6.45
% 41.99/6.45 % (24797)Memory used [KB]: 3070
% 41.99/6.45 % (24797)Time elapsed: 0.095 s
% 41.99/6.45 % (24797)Instructions burned: 458 (million)
% 41.99/6.45 % (24797)------------------------------
% 41.99/6.45 % (24797)------------------------------
% 41.99/6.46 % (24800)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=386:si=on:rtra=on_0 on theBenchmark for (2938ds/386Mi)
% 42.44/6.49 % (24793)Instruction limit reached!
% 42.44/6.49 % (24793)------------------------------
% 42.44/6.49 % (24793)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 42.44/6.49 % (24793)Termination reason: Unknown
% 42.44/6.49 % (24793)Termination phase: Function definition elimination
% 42.44/6.49
% 42.44/6.49 % (24793)Memory used [KB]: 3198
% 42.44/6.49 % (24793)Time elapsed: 0.541 s
% 42.44/6.49 % (24793)Instructions burned: 2817 (million)
% 42.44/6.49 % (24793)------------------------------
% 42.44/6.49 % (24793)------------------------------
% 42.44/6.50 % (24801)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on theBenchmark for (2938ds/360Mi)
% 42.44/6.54 % (24800)Instruction limit reached!
% 42.44/6.54 % (24800)------------------------------
% 42.44/6.54 % (24800)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 42.44/6.54 % (24800)Termination reason: Unknown
% 42.44/6.54 % (24800)Termination phase: Function definition elimination
% 42.44/6.54
% 42.44/6.54 % (24800)Memory used [KB]: 3070
% 42.44/6.54 % (24800)Time elapsed: 0.081 s
% 42.44/6.54 % (24800)Instructions burned: 386 (million)
% 42.44/6.54 % (24800)------------------------------
% 42.44/6.54 % (24800)------------------------------
% 42.44/6.55 % (24802)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=5446:si=on:rtra=on_0 on theBenchmark for (2938ds/5446Mi)
% 42.44/6.58 % (24801)Instruction limit reached!
% 42.44/6.58 % (24801)------------------------------
% 42.44/6.58 % (24801)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 42.44/6.58 % (24801)Termination reason: Unknown
% 42.44/6.58 % (24801)Termination phase: Function definition elimination
% 42.44/6.58
% 42.44/6.58 % (24801)Memory used [KB]: 3070
% 42.44/6.58 % (24801)Time elapsed: 0.078 s
% 42.44/6.58 % (24801)Instructions burned: 363 (million)
% 42.44/6.58 % (24801)------------------------------
% 42.44/6.58 % (24801)------------------------------
% 42.92/6.59 % (24803)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=2573:si=on:rtra=on_0 on theBenchmark for (2937ds/2573Mi)
% 43.01/6.67 % (24795)Instruction limit reached!
% 43.01/6.67 % (24795)------------------------------
% 43.01/6.67 % (24795)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 43.01/6.67 % (24795)Termination reason: Unknown
% 43.01/6.67 % (24795)Termination phase: Function definition elimination
% 43.01/6.67
% 43.01/6.67 % (24795)Memory used [KB]: 3070
% 43.01/6.67 % (24795)Time elapsed: 0.494 s
% 43.01/6.67 % (24795)Instructions burned: 2682 (million)
% 43.01/6.67 % (24795)------------------------------
% 43.01/6.67 % (24795)------------------------------
% 43.01/6.67 % (24804)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=2655:si=on:rtra=on_0 on theBenchmark for (2936ds/2655Mi)
% 43.01/6.68 % (24799)Instruction limit reached!
% 43.01/6.68 % (24799)------------------------------
% 43.01/6.68 % (24799)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 43.01/6.68 % (24799)Termination reason: Unknown
% 43.01/6.68 % (24799)Termination phase: Function definition elimination
% 43.01/6.68
% 43.01/6.68 % (24799)Memory used [KB]: 3070
% 43.01/6.68 % (24799)Time elapsed: 0.272 s
% 43.01/6.68 % (24799)Instructions burned: 1437 (million)
% 43.01/6.68 % (24799)------------------------------
% 43.01/6.68 % (24799)------------------------------
% 43.01/6.69 % (24805)dis+1002_16:1_apa=on:au=on:av=off:cnfonf=off:e2e=on:nm=0:nwc=10.0:i=2781:si=on:rtra=on_0 on theBenchmark for (2936ds/2781Mi)
% 43.53/6.77 % (24779)Instruction limit reached!
% 43.53/6.77 % (24779)------------------------------
% 43.53/6.77 % (24779)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 43.53/6.77 % (24779)Termination reason: Unknown
% 43.53/6.77 % (24779)Termination phase: Saturation
% 43.53/6.77
% 43.53/6.77 % (24779)Memory used [KB]: 13688
% 43.53/6.77 % (24779)Time elapsed: 2.081 s
% 43.53/6.77 % (24779)Instructions burned: 7258 (million)
% 43.53/6.77 % (24779)------------------------------
% 43.53/6.77 % (24779)------------------------------
% 43.53/6.78 % (24806)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on theBenchmark for (2935ds/307Mi)
% 43.70/6.84 % (24798)Instruction limit reached!
% 43.70/6.84 % (24798)------------------------------
% 43.70/6.84 % (24798)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 43.70/6.84 % (24798)Termination reason: Unknown
% 43.70/6.84 % (24798)Termination phase: Function definition elimination
% 43.70/6.84
% 43.70/6.84 % (24798)Memory used [KB]: 3198
% 43.70/6.84 % (24798)Time elapsed: 0.471 s
% 43.70/6.84 % (24798)Instructions burned: 2548 (million)
% 43.70/6.84 % (24798)------------------------------
% 43.70/6.84 % (24798)------------------------------
% 43.70/6.84 % (24806)Instruction limit reached!
% 43.70/6.84 % (24806)------------------------------
% 43.70/6.84 % (24806)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 43.70/6.84 % (24806)Termination reason: Unknown
% 43.70/6.84 % (24806)Termination phase: Function definition elimination
% 43.70/6.84
% 43.70/6.84 % (24806)Memory used [KB]: 3070
% 43.70/6.84 % (24806)Time elapsed: 0.068 s
% 43.70/6.84 % (24806)Instructions burned: 310 (million)
% 43.70/6.84 % (24806)------------------------------
% 43.70/6.84 % (24806)------------------------------
% 43.70/6.85 % (24807)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=1548:si=on:rtra=on_0 on theBenchmark for (2935ds/1548Mi)
% 43.70/6.85 % (24808)lrs+10_1:3_alpa=true:hud=3:ins=1:ntd=on:plsq=on:plsqc=1:plsqr=32,1:prag=on:s2a=on:s2agt=10:i=5214:si=on:rtra=on_0 on theBenchmark for (2935ds/5214Mi)
% 46.34/7.08 % (24803)Instruction limit reached!
% 46.34/7.08 % (24803)------------------------------
% 46.34/7.08 % (24803)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 46.34/7.08 % (24803)Termination reason: Unknown
% 46.34/7.08 % (24803)Termination phase: Function definition elimination
% 46.34/7.08
% 46.34/7.08 % (24803)Memory used [KB]: 3070
% 46.34/7.08 % (24803)Time elapsed: 0.491 s
% 46.34/7.08 % (24803)Instructions burned: 2576 (million)
% 46.34/7.08 % (24803)------------------------------
% 46.34/7.08 % (24803)------------------------------
% 46.86/7.09 % (24809)dis+21_1:1_aac=none:bsr=on:nwc=3.0:s2a=on:i=3201:si=on:rtra=on_0 on theBenchmark for (2932ds/3201Mi)
% 46.86/7.17 % (24804)Instruction limit reached!
% 46.86/7.17 % (24804)------------------------------
% 46.86/7.17 % (24804)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 46.86/7.17 % (24804)Termination reason: Unknown
% 46.86/7.17 % (24804)Termination phase: Function definition elimination
% 46.86/7.17
% 46.86/7.17 % (24804)Memory used [KB]: 3070
% 46.86/7.17 % (24804)Time elapsed: 0.494 s
% 46.86/7.17 % (24804)Instructions burned: 2655 (million)
% 46.86/7.17 % (24804)------------------------------
% 46.86/7.17 % (24804)------------------------------
% 47.38/7.18 % (24810)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=454:si=on:rtra=on_0 on theBenchmark for (2931ds/454Mi)
% 47.54/7.21 % (24805)Instruction limit reached!
% 47.54/7.21 % (24805)------------------------------
% 47.54/7.21 % (24805)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 47.54/7.21 % (24805)Termination reason: Unknown
% 47.54/7.21 % (24805)Termination phase: Function definition elimination
% 47.54/7.21
% 47.54/7.21 % (24805)Memory used [KB]: 3198
% 47.54/7.21 % (24805)Time elapsed: 0.519 s
% 47.54/7.21 % (24805)Instructions burned: 2786 (million)
% 47.54/7.21 % (24805)------------------------------
% 47.54/7.21 % (24805)------------------------------
% 47.54/7.22 % (24811)lrs+1002_1:32_au=on:ins=2:nm=16:ntd=on:piset=all_but_not_eq:sp=occurrence:i=3049:si=on:rtra=on_0 on theBenchmark for (2931ds/3049Mi)
% 47.62/7.27 % (24810)Instruction limit reached!
% 47.62/7.27 % (24810)------------------------------
% 47.62/7.27 % (24810)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 47.62/7.27 % (24810)Termination reason: Unknown
% 47.62/7.27 % (24810)Termination phase: Function definition elimination
% 47.62/7.27
% 47.62/7.27 % (24810)Memory used [KB]: 3070
% 47.62/7.27 % (24810)Time elapsed: 0.093 s
% 47.62/7.27 % (24810)Instructions burned: 454 (million)
% 47.62/7.27 % (24810)------------------------------
% 47.62/7.27 % (24810)------------------------------
% 47.62/7.28 % (24812)lrs+1010_1:1_bd=preordered:cnfonf=off:e2e=on:kws=inv_precedence:lwlo=on:sd=2:ss=axioms:i=7311:si=on:rtra=on_0 on theBenchmark for (2930ds/7311Mi)
% 48.38/7.40 % (24807)Instruction limit reached!
% 48.38/7.40 % (24807)------------------------------
% 48.38/7.40 % (24807)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 48.38/7.40 % (24807)Termination reason: Unknown
% 48.38/7.40 % (24807)Termination phase: Saturation
% 48.38/7.40
% 48.38/7.40 % (24807)Memory used [KB]: 11257
% 48.38/7.40 % (24807)Time elapsed: 0.543 s
% 48.38/7.40 % (24807)Instructions burned: 1549 (million)
% 48.38/7.40 % (24807)------------------------------
% 48.38/7.40 % (24807)------------------------------
% 48.38/7.41 % (24813)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=6804:si=on:rtra=on_0 on theBenchmark for (2929ds/6804Mi)
% 48.38/7.45 % (24794)Instruction limit reached!
% 48.38/7.45 % (24794)------------------------------
% 48.38/7.45 % (24794)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 48.38/7.45 % (24794)Termination reason: Unknown
% 48.38/7.45 % (24794)Termination phase: Saturation
% 48.38/7.45
% 48.38/7.45 % (24794)Memory used [KB]: 15479
% 48.38/7.45 % (24794)Time elapsed: 1.384 s
% 48.38/7.45 % (24794)Instructions burned: 4605 (million)
% 48.38/7.45 % (24794)------------------------------
% 48.38/7.45 % (24794)------------------------------
% 48.38/7.46 % (24814)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1683:si=on:rtra=on_0 on theBenchmark for (2929ds/1683Mi)
% 48.38/7.47 % (24813)Refutation not found, incomplete strategy
% 48.38/7.47 % (24813)------------------------------
% 48.38/7.47 % (24813)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 48.38/7.47 % (24813)Termination reason: Refutation not found, incomplete strategy
% 48.38/7.47
% 48.38/7.47
% 48.38/7.47 % (24813)Memory used [KB]: 7675
% 48.38/7.47 % (24813)Time elapsed: 0.060 s
% 48.38/7.47 % (24813)Instructions burned: 218 (million)
% 48.38/7.47 % (24813)------------------------------
% 48.38/7.47 % (24813)------------------------------
% 48.38/7.48 % (24815)lrs+10_8:1_au=on:av=off:bd=off:cs=on:e2e=on:hfsq=on:hfsqc=50:hfsql=off:nm=0:i=4688:si=on:rtra=on_0 on theBenchmark for (2928ds/4688Mi)
% 49.89/7.53 % (24802)Instruction limit reached!
% 49.89/7.53 % (24802)------------------------------
% 49.89/7.53 % (24802)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 49.89/7.53 % (24802)Termination reason: Unknown
% 49.89/7.53 % (24802)Termination phase: Function definition elimination
% 49.89/7.53
% 49.89/7.53 % (24802)Memory used [KB]: 3198
% 49.89/7.53 % (24802)Time elapsed: 0.985 s
% 49.89/7.53 % (24802)Instructions burned: 5451 (million)
% 49.89/7.53 % (24802)------------------------------
% 49.89/7.53 % (24802)------------------------------
% 49.89/7.54 % (24816)dis-1_1:1_amm=off:au=on:cbe=off:spb=intro:i=2207:si=on:rtra=on_0 on theBenchmark for (2928ds/2207Mi)
% 50.82/7.68 % (24809)Instruction limit reached!
% 50.82/7.68 % (24809)------------------------------
% 50.82/7.68 % (24809)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 50.82/7.68 % (24809)Termination reason: Unknown
% 50.82/7.68 % (24809)Termination phase: Function definition elimination
% 50.82/7.68
% 50.82/7.68 % (24809)Memory used [KB]: 3198
% 50.82/7.68 % (24809)Time elapsed: 0.591 s
% 50.82/7.68 % (24809)Instructions burned: 3202 (million)
% 50.82/7.68 % (24809)------------------------------
% 50.82/7.68 % (24809)------------------------------
% 50.82/7.69 % (24817)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=8216:si=on:rtra=on_0 on theBenchmark for (2926ds/8216Mi)
% 51.33/7.78 % (24811)Instruction limit reached!
% 51.33/7.78 % (24811)------------------------------
% 51.33/7.78 % (24811)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 51.33/7.78 % (24811)Termination reason: Unknown
% 51.33/7.78 % (24811)Termination phase: Function definition elimination
% 51.33/7.78
% 51.33/7.78 % (24811)Memory used [KB]: 3198
% 51.33/7.78 % (24811)Time elapsed: 0.560 s
% 51.33/7.78 % (24811)Instructions burned: 3051 (million)
% 51.33/7.78 % (24811)------------------------------
% 51.33/7.78 % (24811)------------------------------
% 51.33/7.79 % (24818)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=430:si=on:rtra=on_0 on theBenchmark for (2925ds/430Mi)
% 51.43/7.81 % (24808)Instruction limit reached!
% 51.43/7.81 % (24808)------------------------------
% 51.43/7.81 % (24808)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 51.43/7.81 % (24808)Termination reason: Unknown
% 51.43/7.81 % (24808)Termination phase: Function definition elimination
% 51.43/7.81
% 51.43/7.81 % (24808)Memory used [KB]: 3198
% 51.43/7.81 % (24808)Time elapsed: 0.962 s
% 51.43/7.81 % (24808)Instructions burned: 5215 (million)
% 51.43/7.81 % (24808)------------------------------
% 51.43/7.81 % (24808)------------------------------
% 51.53/7.82 % (24819)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=2012:si=on:rtra=on_0 on theBenchmark for (2925ds/2012Mi)
% 51.53/7.88 % (24818)Instruction limit reached!
% 51.53/7.88 % (24818)------------------------------
% 51.53/7.88 % (24818)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 51.53/7.88 % (24818)Termination reason: Unknown
% 51.53/7.88 % (24818)Termination phase: Function definition elimination
% 51.53/7.88
% 51.53/7.88 % (24818)Memory used [KB]: 3070
% 51.53/7.88 % (24818)Time elapsed: 0.091 s
% 51.53/7.88 % (24818)Instructions burned: 435 (million)
% 51.53/7.88 % (24818)------------------------------
% 51.53/7.88 % (24818)------------------------------
% 51.53/7.89 % (24820)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=631:si=on:rtra=on_0 on theBenchmark for (2924ds/631Mi)
% 51.87/7.95 % (24816)Instruction limit reached!
% 51.87/7.95 % (24816)------------------------------
% 51.87/7.95 % (24816)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 51.87/7.95 % (24816)Termination reason: Unknown
% 51.87/7.95 % (24816)Termination phase: Function definition elimination
% 51.87/7.95
% 51.87/7.95 % (24816)Memory used [KB]: 3198
% 51.87/7.95 % (24816)Time elapsed: 0.412 s
% 51.87/7.95 % (24816)Instructions burned: 2207 (million)
% 51.87/7.95 % (24816)------------------------------
% 51.87/7.95 % (24816)------------------------------
% 51.87/7.96 % (24821)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=8785:si=on:rtra=on_0 on theBenchmark for (2924ds/8785Mi)
% 51.87/7.98 % (24814)Instruction limit reached!
% 51.87/7.98 % (24814)------------------------------
% 51.87/7.98 % (24814)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 51.87/7.98 % (24814)Termination reason: Unknown
% 51.87/7.98 % (24814)Termination phase: Saturation
% 51.87/7.98
% 51.87/7.98 % (24814)Memory used [KB]: 10234
% 51.87/7.98 % (24814)Time elapsed: 0.520 s
% 51.87/7.98 % (24814)Instructions burned: 1686 (million)
% 51.87/7.98 % (24814)------------------------------
% 51.87/7.98 % (24814)------------------------------
% 53.14/7.99 % (24822)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=739:si=on:rtra=on_0 on theBenchmark for (2923ds/739Mi)
% 53.14/8.04 % (24820)Instruction limit reached!
% 53.14/8.04 % (24820)------------------------------
% 53.14/8.04 % (24820)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 53.14/8.04 % (24820)Termination reason: Unknown
% 53.14/8.04 % (24820)Termination phase: Function definition elimination
% 53.14/8.04
% 53.14/8.04 % (24820)Memory used [KB]: 3198
% 53.14/8.04 % (24820)Time elapsed: 0.144 s
% 53.14/8.04 % (24820)Instructions burned: 635 (million)
% 53.14/8.04 % (24820)------------------------------
% 53.14/8.04 % (24820)------------------------------
% 53.14/8.05 % (24823)dis+1002_1:1024_fe=off:hud=5:prag=on:i=5473:si=on:rtra=on_0 on theBenchmark for (2923ds/5473Mi)
% 53.85/8.20 % (24819)Instruction limit reached!
% 53.85/8.20 % (24819)------------------------------
% 53.85/8.20 % (24819)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 53.85/8.20 % (24819)Termination reason: Unknown
% 53.85/8.20 % (24819)Termination phase: Function definition elimination
% 53.85/8.20
% 53.85/8.20 % (24819)Memory used [KB]: 3070
% 53.85/8.20 % (24819)Time elapsed: 0.375 s
% 53.85/8.20 % (24819)Instructions burned: 2012 (million)
% 53.85/8.20 % (24819)------------------------------
% 53.85/8.20 % (24819)------------------------------
% 53.85/8.21 % (24824)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=43570:si=on:rtra=on_0 on theBenchmark for (2921ds/43570Mi)
% 54.32/8.22 % (24822)Instruction limit reached!
% 54.32/8.22 % (24822)------------------------------
% 54.32/8.22 % (24822)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 54.32/8.22 % (24822)Termination reason: Unknown
% 54.32/8.22 % (24822)Termination phase: Saturation
% 54.32/8.22
% 54.32/8.22 % (24822)Memory used [KB]: 8699
% 54.32/8.22 % (24822)Time elapsed: 0.252 s
% 54.32/8.22 % (24822)Instructions burned: 739 (million)
% 54.32/8.22 % (24822)------------------------------
% 54.32/8.22 % (24822)------------------------------
% 54.32/8.23 % (24825)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=8382:si=on:rtra=on_0 on theBenchmark for (2921ds/8382Mi)
% 54.32/8.24 % (24824)Refutation not found, incomplete strategy
% 54.32/8.24 % (24824)------------------------------
% 54.32/8.24 % (24824)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 54.32/8.24 % (24824)Termination reason: Refutation not found, incomplete strategy
% 54.32/8.24
% 54.32/8.24
% 54.32/8.24 % (24824)Memory used [KB]: 7164
% 54.32/8.24 % (24824)Time elapsed: 0.032 s
% 54.32/8.24 % (24824)Instructions burned: 114 (million)
% 54.32/8.24 % (24824)------------------------------
% 54.32/8.24 % (24824)------------------------------
% 54.32/8.25 % (24826)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=407:si=on:rtra=on_0 on theBenchmark for (2921ds/407Mi)
% 54.91/8.33 % (24826)Instruction limit reached!
% 54.91/8.33 % (24826)------------------------------
% 54.91/8.33 % (24826)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 54.91/8.33 % (24826)Termination reason: Unknown
% 54.91/8.33 % (24826)Termination phase: Function definition elimination
% 54.91/8.33
% 54.91/8.33 % (24826)Memory used [KB]: 2942
% 54.91/8.33 % (24826)Time elapsed: 0.086 s
% 54.91/8.33 % (24826)Instructions burned: 408 (million)
% 54.91/8.33 % (24826)------------------------------
% 54.91/8.33 % (24826)------------------------------
% 54.91/8.34 % (24815)Instruction limit reached!
% 54.91/8.34 % (24815)------------------------------
% 54.91/8.34 % (24815)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 54.91/8.34 % (24815)Termination reason: Unknown
% 54.91/8.34 % (24815)Termination phase: Function definition elimination
% 54.91/8.34
% 54.91/8.34 % (24815)Memory used [KB]: 3198
% 54.91/8.34 % (24815)Time elapsed: 0.859 s
% 54.91/8.34 % (24815)Instructions burned: 4691 (million)
% 54.91/8.34 % (24815)------------------------------
% 54.91/8.34 % (24815)------------------------------
% 54.91/8.34 % (24827)lrs+10_1:50_cbe=off:cnfonf=lazy_pi_sigma_gen:fe=off:hud=5:plsq=on:plsqr=1,32:sos=all:i=2971:si=on:rtra=on_0 on theBenchmark for (2920ds/2971Mi)
% 54.91/8.35 % (24828)lrs+1002_1:1_aac=none:bd=off:e2e=on:fde=none:fe=off:piset=or:prag=on:rawr=on:sos=on:updr=off:i=9822:si=on:rtra=on_0 on theBenchmark for (2920ds/9822Mi)
% 55.39/8.41 % (24828)Refutation not found, incomplete strategy
% 55.39/8.41 % (24828)------------------------------
% 55.39/8.41 % (24828)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 55.39/8.41 % (24828)Termination reason: Refutation not found, incomplete strategy
% 55.39/8.41
% 55.39/8.41
% 55.39/8.41 % (24828)Memory used [KB]: 7675
% 55.39/8.41 % (24828)Time elapsed: 0.063 s
% 55.39/8.41 % (24828)Instructions burned: 230 (million)
% 55.39/8.41 % (24828)------------------------------
% 55.39/8.41 % (24828)------------------------------
% 55.51/8.42 % (24829)dis+10_5:1_av=off:ntd=on:s2a=on:s2at=3.0:sgt=16:sp=unary_frequency:ss=axioms:i=8425:si=on:rtra=on_0 on theBenchmark for (2919ds/8425Mi)
% 58.81/8.88 % (24827)Instruction limit reached!
% 58.81/8.88 % (24827)------------------------------
% 58.81/8.88 % (24827)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 58.81/8.88 % (24827)Termination reason: Unknown
% 58.81/8.88 % (24827)Termination phase: Function definition elimination
% 58.81/8.88
% 58.81/8.88 % (24827)Memory used [KB]: 3070
% 58.81/8.88 % (24827)Time elapsed: 0.544 s
% 58.81/8.88 % (24827)Instructions burned: 2973 (million)
% 58.81/8.88 % (24827)------------------------------
% 58.81/8.88 % (24827)------------------------------
% 59.45/8.89 % (24830)lrs+30_1:1_aac=none:au=on:cbe=off:cs=on:nm=2:rawr=on:sos=on:i=3107:si=on:rtra=on_0 on theBenchmark for (2914ds/3107Mi)
% 60.13/9.03 % (24823)Instruction limit reached!
% 60.13/9.03 % (24823)------------------------------
% 60.13/9.03 % (24823)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 60.13/9.03 % (24823)Termination reason: Unknown
% 60.13/9.03 % (24823)Termination phase: Function definition elimination
% 60.13/9.03
% 60.13/9.03 % (24823)Memory used [KB]: 3198
% 60.13/9.03 % (24823)Time elapsed: 0.988 s
% 60.13/9.03 % (24823)Instructions burned: 5476 (million)
% 60.13/9.03 % (24823)------------------------------
% 60.13/9.03 % (24823)------------------------------
% 60.13/9.04 % (24831)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=7967:si=on:rtra=on_0 on theBenchmark for (2913ds/7967Mi)
% 62.94/9.42 % (24812)Instruction limit reached!
% 62.94/9.42 % (24812)------------------------------
% 62.94/9.42 % (24812)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 62.94/9.42 % (24812)Termination reason: Unknown
% 62.94/9.42 % (24812)Termination phase: Saturation
% 62.94/9.42
% 62.94/9.42 % (24812)Memory used [KB]: 27121
% 62.94/9.42 % (24812)Time elapsed: 2.148 s
% 62.94/9.42 % (24812)Instructions burned: 7313 (million)
% 62.94/9.42 % (24812)------------------------------
% 62.94/9.42 % (24812)------------------------------
% 62.94/9.43 % (24832)lrs+1010_10:959_abs=on:acc=on:bd=off:ccuc=small_ones:cha=on:cnfonf=lazy_simp:fd=preordered:fe=off:hud=3:ile=on:kws=inv_frequency:nm=2:piset=and:sd=5:sp=frequency:spb=goal_then_units:ss=axioms:st=4.5:i=3629:si=on:rtra=on_0 on theBenchmark for (2909ds/3629Mi)
% 62.94/9.46 % (24830)Instruction limit reached!
% 62.94/9.46 % (24830)------------------------------
% 62.94/9.46 % (24830)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 62.94/9.46 % (24830)Termination reason: Unknown
% 62.94/9.46 % (24830)Termination phase: Function definition elimination
% 62.94/9.46
% 62.94/9.46 % (24830)Memory used [KB]: 3198
% 62.94/9.46 % (24830)Time elapsed: 0.569 s
% 62.94/9.46 % (24830)Instructions burned: 3108 (million)
% 62.94/9.46 % (24830)------------------------------
% 62.94/9.46 % (24830)------------------------------
% 62.94/9.47 % (24833)lrs+1010_1:1024_au=on:fe=axiom:lwlo=on:nm=0:ntd=on:nwc=10.0:spb=non_intro:uhcvi=on:i=939:si=on:rtra=on_0 on theBenchmark for (2909ds/939Mi)
% 63.59/9.54 % (24821)Instruction limit reached!
% 63.59/9.54 % (24821)------------------------------
% 63.59/9.54 % (24821)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 63.59/9.54 % (24821)Termination reason: Unknown
% 63.59/9.54 % (24821)Termination phase: Function definition elimination
% 63.59/9.54
% 63.59/9.54 % (24821)Memory used [KB]: 3198
% 63.59/9.54 % (24821)Time elapsed: 1.578 s
% 63.59/9.54 % (24821)Instructions burned: 8785 (million)
% 63.59/9.54 % (24821)------------------------------
% 63.59/9.54 % (24821)------------------------------
% 63.59/9.55 % (24834)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on theBenchmark for (2908ds/1188Mi)
% 64.05/9.65 % (24833)Instruction limit reached!
% 64.05/9.65 % (24833)------------------------------
% 64.05/9.65 % (24833)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 64.05/9.65 % (24833)Termination reason: Unknown
% 64.05/9.65 % (24833)Termination phase: Function definition elimination
% 64.05/9.65
% 64.05/9.65 % (24833)Memory used [KB]: 3198
% 64.05/9.65 % (24833)Time elapsed: 0.182 s
% 64.05/9.65 % (24833)Instructions burned: 940 (million)
% 64.05/9.65 % (24833)------------------------------
% 64.05/9.65 % (24833)------------------------------
% 64.05/9.66 % (24835)dis+21_3:2_avsq=on:cbe=off:e2e=on:flr=on:ile=on:nwc=5.0:piset=or:rawr=on:sp=occurrence:i=3205:si=on:rtra=on_0 on theBenchmark for (2907ds/3205Mi)
% 64.62/9.77 % (24834)Instruction limit reached!
% 64.62/9.77 % (24834)------------------------------
% 64.62/9.77 % (24834)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 64.62/9.77 % (24834)Termination reason: Unknown
% 64.62/9.77 % (24834)Termination phase: Function definition elimination
% 64.62/9.77
% 64.62/9.77 % (24834)Memory used [KB]: 3070
% 64.62/9.77 % (24834)Time elapsed: 0.224 s
% 64.62/9.77 % (24834)Instructions burned: 1191 (million)
% 64.62/9.77 % (24834)------------------------------
% 64.62/9.77 % (24834)------------------------------
% 64.62/9.78 % (24836)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on theBenchmark for (2905ds/865Mi)
% 65.90/9.82 % (24825)Instruction limit reached!
% 65.90/9.82 % (24825)------------------------------
% 65.90/9.82 % (24825)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 65.90/9.82 % (24825)Termination reason: Unknown
% 65.90/9.82 % (24825)Termination phase: Function definition elimination
% 65.90/9.82
% 65.90/9.82 % (24825)Memory used [KB]: 3198
% 65.90/9.82 % (24825)Time elapsed: 1.562 s
% 65.90/9.82 % (24825)Instructions burned: 8385 (million)
% 65.90/9.82 % (24825)------------------------------
% 65.90/9.82 % (24825)------------------------------
% 65.92/9.82 % (24837)ott+1002_1:1_au=on:bd=off:cbe=off:cha=on:cnfonf=lazy_pi_sigma_gen:fd=off:fe=off:ntd=on:sp=const_frequency:i=7469:si=on:rtra=on_0 on theBenchmark for (2905ds/7469Mi)
% 66.40/9.95 % (24836)Instruction limit reached!
% 66.40/9.95 % (24836)------------------------------
% 66.40/9.95 % (24836)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 66.40/9.95 % (24836)Termination reason: Unknown
% 66.40/9.95 % (24836)Termination phase: Function definition elimination
% 66.40/9.95
% 66.40/9.95 % (24836)Memory used [KB]: 3198
% 66.40/9.95 % (24836)Time elapsed: 0.172 s
% 66.40/9.95 % (24836)Instructions burned: 865 (million)
% 66.40/9.95 % (24836)------------------------------
% 66.40/9.95 % (24836)------------------------------
% 66.40/9.96 % (24838)dis+10_1:10_bd=preordered:e2e=on:fde=none:fe=axiom:hud=3:kws=precedence:nwc=3.0:prag=on:sp=const_max:tgt=full:i=4165:si=on:rtra=on_0 on theBenchmark for (2903ds/4165Mi)
% 66.40/9.96 % (24829)Instruction limit reached!
% 66.40/9.96 % (24829)------------------------------
% 66.40/9.96 % (24829)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 66.40/9.96 % (24829)Termination reason: Unknown
% 66.40/9.96 % (24829)Termination phase: Function definition elimination
% 66.40/9.96
% 66.40/9.96 % (24829)Memory used [KB]: 3198
% 66.40/9.96 % (24829)Time elapsed: 1.544 s
% 66.40/9.96 % (24829)Instructions burned: 8428 (million)
% 66.40/9.96 % (24829)------------------------------
% 66.40/9.96 % (24829)------------------------------
% 66.40/9.97 % (24839)dis+1010_1:1_au=on:avsq=on:cnfonf=lazy_simp:fsr=off:ntd=on:nwc=10.0:sp=reverse_frequency:ss=axioms:st=1.5:i=13468:si=on:rtra=on_0 on theBenchmark for (2903ds/13468Mi)
% 67.33/10.10 % (24832)Instruction limit reached!
% 67.33/10.10 % (24832)------------------------------
% 67.33/10.10 % (24832)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 67.33/10.10 % (24832)Termination reason: Unknown
% 67.33/10.10 % (24832)Termination phase: Function definition elimination
% 67.33/10.10
% 67.33/10.10 % (24832)Memory used [KB]: 3198
% 67.33/10.10 % (24832)Time elapsed: 0.666 s
% 67.33/10.10 % (24832)Instructions burned: 3631 (million)
% 67.33/10.10 % (24832)------------------------------
% 67.33/10.10 % (24832)------------------------------
% 67.33/10.11 % (24840)dis+1002_1:1_au=on:bsr=unit_only:cbe=off:fe=off:fsr=off:nm=10:nwc=6.0:plsq=on:plsqc=1:plsqr=32,1:sos=all:i=2635:si=on:rtra=on_0 on theBenchmark for (2902ds/2635Mi)
% 67.64/10.23 % (24817)Instruction limit reached!
% 67.64/10.23 % (24817)------------------------------
% 67.64/10.23 % (24817)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 67.64/10.23 % (24817)Termination reason: Unknown
% 67.64/10.23 % (24817)Termination phase: Saturation
% 67.64/10.23
% 67.64/10.23 % (24817)Memory used [KB]: 15863
% 67.64/10.23 % (24817)Time elapsed: 2.541 s
% 67.64/10.23 % (24817)Instructions burned: 8216 (million)
% 67.64/10.23 % (24817)------------------------------
% 67.64/10.23 % (24817)------------------------------
% 67.64/10.24 % (24841)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=631:si=on:rtra=on_0 on theBenchmark for (2901ds/631Mi)
% 67.64/10.25 % (24835)Instruction limit reached!
% 67.64/10.25 % (24835)------------------------------
% 67.64/10.25 % (24835)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 67.64/10.25 % (24835)Termination reason: Unknown
% 67.64/10.25 % (24835)Termination phase: Function definition elimination
% 67.64/10.25
% 67.64/10.25 % (24835)Memory used [KB]: 3198
% 67.64/10.25 % (24835)Time elapsed: 0.591 s
% 67.64/10.25 % (24835)Instructions burned: 3207 (million)
% 67.64/10.25 % (24835)------------------------------
% 67.64/10.25 % (24835)------------------------------
% 67.64/10.26 % (24842)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=15557:si=on:rtra=on_0 on theBenchmark for (2901ds/15557Mi)
% 67.82/10.36 % (24841)Instruction limit reached!
% 67.82/10.36 % (24841)------------------------------
% 67.82/10.36 % (24841)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 67.82/10.36 % (24841)Termination reason: Unknown
% 67.82/10.36 % (24841)Termination phase: Function definition elimination
% 67.82/10.36
% 67.82/10.36 % (24841)Memory used [KB]: 3070
% 67.82/10.36 % (24841)Time elapsed: 0.125 s
% 67.82/10.36 % (24841)Instructions burned: 631 (million)
% 67.82/10.36 % (24841)------------------------------
% 67.82/10.36 % (24841)------------------------------
% 67.82/10.37 % (24843)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2142:si=on:rtra=on_0 on theBenchmark for (2899ds/2142Mi)
% 70.17/10.50 % (24831)Instruction limit reached!
% 70.17/10.50 % (24831)------------------------------
% 70.17/10.50 % (24831)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 70.17/10.50 % (24831)Termination reason: Unknown
% 70.17/10.50 % (24831)Termination phase: Function definition elimination
% 70.17/10.50
% 70.17/10.50 % (24831)Memory used [KB]: 3070
% 70.17/10.50 % (24831)Time elapsed: 1.458 s
% 70.17/10.50 % (24831)Instructions burned: 7968 (million)
% 70.17/10.50 % (24831)------------------------------
% 70.17/10.50 % (24831)------------------------------
% 70.17/10.51 % (24844)dis+1002_1:1_aac=none:au=on:bd=off:cnfonf=conj_eager:nwc=5.0:sgt=5:sp=reverse_arity:ss=axioms:i=5624:si=on:rtra=on_0 on theBenchmark for (2898ds/5624Mi)
% 71.19/10.60 % (24840)Instruction limit reached!
% 71.19/10.60 % (24840)------------------------------
% 71.19/10.60 % (24840)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 71.19/10.60 % (24840)Termination reason: Unknown
% 71.19/10.60 % (24840)Termination phase: Function definition elimination
% 71.19/10.60
% 71.19/10.60 % (24840)Memory used [KB]: 3198
% 71.19/10.60 % (24840)Time elapsed: 0.489 s
% 71.19/10.60 % (24840)Instructions burned: 2637 (million)
% 71.19/10.60 % (24840)------------------------------
% 71.19/10.60 % (24840)------------------------------
% 71.19/10.60 % (24845)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=1665:si=on:rtra=on_0 on theBenchmark for (2897ds/1665Mi)
% 72.70/10.92 % (24845)Instruction limit reached!
% 72.70/10.92 % (24845)------------------------------
% 72.70/10.92 % (24845)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 72.70/10.92 % (24845)Termination reason: Unknown
% 72.70/10.92 % (24845)Termination phase: Function definition elimination
% 72.70/10.92
% 72.70/10.92 % (24845)Memory used [KB]: 3070
% 72.70/10.92 % (24845)Time elapsed: 0.315 s
% 72.70/10.92 % (24845)Instructions burned: 1668 (million)
% 72.70/10.92 % (24845)------------------------------
% 72.70/10.92 % (24845)------------------------------
% 72.70/10.93 % (24846)dis+1002_1:1_av=off:prag=on:sd=1:sos=on:sp=occurrence:ss=axioms:i=64912:si=on:rtra=on_0 on theBenchmark for (2894ds/64912Mi)
% 74.27/11.03 % (24843)Instruction limit reached!
% 74.27/11.03 % (24843)------------------------------
% 74.27/11.03 % (24843)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 74.27/11.03 % (24843)Termination reason: Unknown
% 74.27/11.03 % (24843)Termination phase: Saturation
% 74.27/11.03
% 74.27/11.03 % (24843)Memory used [KB]: 12409
% 74.27/11.03 % (24843)Time elapsed: 0.653 s
% 74.27/11.03 % (24843)Instructions burned: 2144 (million)
% 74.27/11.03 % (24843)------------------------------
% 74.27/11.03 % (24843)------------------------------
% 74.34/11.04 % (24847)lrs+10_1:32_atotf=0.1:avsq=on:bsr=on:cnfonf=lazy_gen:fde=unused:i=7801:si=on:rtra=on_0 on theBenchmark for (2893ds/7801Mi)
% 75.24/11.18 % (24837)Instruction limit reached!
% 75.24/11.18 % (24837)------------------------------
% 75.24/11.18 % (24837)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 75.24/11.18 % (24837)Termination reason: Unknown
% 75.24/11.18 % (24837)Termination phase: Function definition elimination
% 75.24/11.18
% 75.24/11.18 % (24837)Memory used [KB]: 3198
% 75.24/11.18 % (24837)Time elapsed: 1.355 s
% 75.24/11.18 % (24837)Instructions burned: 7473 (million)
% 75.24/11.18 % (24837)------------------------------
% 75.24/11.18 % (24837)------------------------------
% 75.24/11.19 % (24848)ott+2_1:1_au=on:hfsq=on:hfsqc=5:hfsql=off:nwc=5.0:sd=3:ss=axioms:st=5.0:i=15194:si=on:rtra=on_0 on theBenchmark for (2891ds/15194Mi)
% 75.80/11.29 % (24838)Instruction limit reached!
% 75.80/11.29 % (24838)------------------------------
% 75.80/11.29 % (24838)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 75.80/11.29 % (24838)Termination reason: Unknown
% 75.80/11.29 % (24838)Termination phase: Saturation
% 75.80/11.29
% 75.80/11.29 % (24838)Memory used [KB]: 15223
% 75.80/11.29 % (24838)Time elapsed: 1.332 s
% 75.80/11.29 % (24838)Instructions burned: 4166 (million)
% 75.80/11.29 % (24838)------------------------------
% 75.80/11.29 % (24838)------------------------------
% 75.80/11.30 % (24849)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=6753:si=on:rtra=on_0 on theBenchmark for (2890ds/6753Mi)
% 75.98/11.36 % (24849)Refutation not found, incomplete strategy
% 75.98/11.36 % (24849)------------------------------
% 75.98/11.36 % (24849)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 75.98/11.36 % (24849)Termination reason: Refutation not found, incomplete strategy
% 75.98/11.36
% 75.98/11.36
% 75.98/11.36 % (24849)Memory used [KB]: 7675
% 75.98/11.36 % (24849)Time elapsed: 0.063 s
% 75.98/11.36 % (24849)Instructions burned: 228 (million)
% 75.98/11.36 % (24849)------------------------------
% 75.98/11.36 % (24849)------------------------------
% 75.98/11.37 % (24850)lrs+1002_1:28_bd=off:cnfonf=lazy_simp:plsq=on:plsqr=1,1:prag=on:i=1003:si=on:rtra=on_0 on theBenchmark for (2889ds/1003Mi)
% 77.53/11.57 % (24850)Instruction limit reached!
% 77.53/11.57 % (24850)------------------------------
% 77.53/11.57 % (24850)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 77.53/11.57 % (24850)Termination reason: Unknown
% 77.53/11.57 % (24850)Termination phase: Function definition elimination
% 77.53/11.57
% 77.53/11.57 % (24850)Memory used [KB]: 3070
% 77.53/11.57 % (24850)Time elapsed: 0.195 s
% 77.53/11.57 % (24850)Instructions burned: 1005 (million)
% 77.53/11.57 % (24850)------------------------------
% 77.53/11.57 % (24850)------------------------------
% 77.53/11.58 % (24851)ott-21_5:4_atotf=0.3:e2e=on:hud=15:ins=1:plsq=on:plsqc=1:plsqr=32,1:sp=unary_frequency:tnu=2:i=13018:si=on:rtra=on_0 on theBenchmark for (2887ds/13018Mi)
% 81.85/12.16 % (24844)Instruction limit reached!
% 81.85/12.16 % (24844)------------------------------
% 81.85/12.16 % (24844)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 81.85/12.16 % (24844)Termination reason: Unknown
% 81.85/12.16 % (24844)Termination phase: Saturation
% 81.85/12.16
% 81.85/12.16 % (24844)Memory used [KB]: 9722
% 81.85/12.16 % (24844)Time elapsed: 1.652 s
% 81.85/12.16 % (24844)Instructions burned: 5625 (million)
% 81.85/12.16 % (24844)------------------------------
% 81.85/12.16 % (24844)------------------------------
% 81.85/12.17 % (24852)dis+10_1:4_atotf=0.1:avsq=on:bsr=unit_only:e2e=on:sd=1:sp=const_max:ss=axioms:i=1267:si=on:rtra=on_0 on theBenchmark for (2881ds/1267Mi)
% 84.31/12.57 % (24852)Instruction limit reached!
% 84.31/12.57 % (24852)------------------------------
% 84.31/12.57 % (24852)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 84.31/12.57 % (24852)Termination reason: Unknown
% 84.31/12.57 % (24852)Termination phase: Saturation
% 84.31/12.57
% 84.31/12.57 % (24852)Memory used [KB]: 9850
% 84.31/12.57 % (24852)Time elapsed: 0.397 s
% 84.31/12.57 % (24852)Instructions burned: 1268 (million)
% 84.31/12.57 % (24852)------------------------------
% 84.31/12.57 % (24852)------------------------------
% 84.31/12.58 % (24853)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=2570:si=on:rtra=on_0 on theBenchmark for (2877ds/2570Mi)
% 88.15/13.05 % (24853)Instruction limit reached!
% 88.15/13.05 % (24853)------------------------------
% 88.15/13.05 % (24853)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 88.15/13.05 % (24853)Termination reason: Unknown
% 88.15/13.05 % (24853)Termination phase: Function definition elimination
% 88.15/13.05
% 88.15/13.05 % (24853)Memory used [KB]: 3070
% 88.15/13.05 % (24853)Time elapsed: 0.472 s
% 88.15/13.05 % (24853)Instructions burned: 2570 (million)
% 88.15/13.05 % (24853)------------------------------
% 88.15/13.05 % (24853)------------------------------
% 88.15/13.06 % (24854)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=13163:si=on:rtra=on_0 on theBenchmark for (2873ds/13163Mi)
% 88.74/13.11 % (24842)Instruction limit reached!
% 88.74/13.11 % (24842)------------------------------
% 88.74/13.11 % (24842)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 88.74/13.11 % (24842)Termination reason: Unknown
% 88.74/13.11 % (24842)Termination phase: Function definition elimination
% 88.74/13.11
% 88.74/13.11 % (24842)Memory used [KB]: 3198
% 88.74/13.11 % (24842)Time elapsed: 2.834 s
% 88.74/13.11 % (24842)Instructions burned: 15561 (million)
% 88.74/13.11 % (24842)------------------------------
% 88.74/13.11 % (24842)------------------------------
% 88.74/13.12 % (24855)lrs+1666_1:1_au=on:s2a=on:sd=2:ss=axioms:st=5.0:i=5087:si=on:rtra=on_0 on theBenchmark for (2872ds/5087Mi)
% 91.41/13.48 % (24847)Instruction limit reached!
% 91.41/13.48 % (24847)------------------------------
% 91.41/13.48 % (24847)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 91.41/13.48 % (24847)Termination reason: Unknown
% 91.41/13.48 % (24847)Termination phase: Saturation
% 91.41/13.48
% 91.41/13.48 % (24847)Memory used [KB]: 23411
% 91.41/13.48 % (24847)Time elapsed: 2.455 s
% 91.41/13.48 % (24847)Instructions burned: 7802 (million)
% 91.41/13.48 % (24847)------------------------------
% 91.41/13.48 % (24847)------------------------------
% 91.41/13.49 % (24856)lrs+1002_1:1_aac=none:au=on:bd=off:cnfonf=lazy_pi_sigma_gen:s2a=on:sac=on:sd=1:sgt=20:ss=axioms:i=10380:si=on:rtra=on_0 on theBenchmark for (2868ds/10380Mi)
% 91.41/13.54 % (24856)Refutation not found, incomplete strategy
% 91.41/13.54 % (24856)------------------------------
% 91.41/13.54 % (24856)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 91.41/13.54 % (24856)Termination reason: Refutation not found, incomplete strategy
% 91.41/13.54
% 91.41/13.54
% 91.41/13.54 % (24856)Memory used [KB]: 7547
% 91.41/13.54 % (24856)Time elapsed: 0.045 s
% 91.41/13.54 % (24856)Instructions burned: 159 (million)
% 91.41/13.54 % (24856)------------------------------
% 91.41/13.54 % (24856)------------------------------
% 91.41/13.55 % (24857)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4218:si=on:rtra=on_0 on theBenchmark for (2868ds/4218Mi)
% 94.42/13.92 % (24851)Instruction limit reached!
% 94.42/13.92 % (24851)------------------------------
% 94.42/13.92 % (24851)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 94.42/13.92 % (24851)Termination reason: Unknown
% 94.42/13.92 % (24851)Termination phase: Function definition elimination
% 94.42/13.92
% 94.42/13.92 % (24851)Memory used [KB]: 3198
% 94.42/13.92 % (24851)Time elapsed: 2.337 s
% 94.42/13.92 % (24851)Instructions burned: 13023 (million)
% 94.42/13.92 % (24851)------------------------------
% 94.42/13.92 % (24851)------------------------------
% 94.57/13.93 % (24858)ott+1666_1:1_hfaw=0:hfsq=on:hfsql=off:hfsqr=1,16:hud=15:slsq=on:slsqr=1,2:tnu=2:i=3971:si=on:rtra=on_0 on theBenchmark for (2864ds/3971Mi)
% 95.52/14.13 % (24839)Instruction limit reached!
% 95.52/14.13 % (24839)------------------------------
% 95.52/14.13 % (24839)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 95.52/14.13 % (24839)Termination reason: Unknown
% 95.52/14.13 % (24839)Termination phase: Saturation
% 95.52/14.13
% 95.52/14.13 % (24839)Memory used [KB]: 24434
% 95.52/14.13 % (24839)Time elapsed: 4.159 s
% 95.52/14.13 % (24839)Instructions burned: 13470 (million)
% 95.52/14.13 % (24839)------------------------------
% 95.52/14.13 % (24839)------------------------------
% 95.52/14.15 % (24859)dis+1010_1:1_anc=all_dependent:au=on:bs=on:sd=5:sp=occurrence:ss=axioms:st=2.0:i=14014:si=on:rtra=on_0 on theBenchmark for (2862ds/14014Mi)
% 99.36/14.64 % (24855)Instruction limit reached!
% 99.36/14.64 % (24855)------------------------------
% 99.36/14.64 % (24855)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 99.36/14.64 % (24855)Termination reason: Unknown
% 99.36/14.64 % (24855)Termination phase: Saturation
% 99.36/14.64
% 99.36/14.64 % (24855)Memory used [KB]: 12792
% 99.36/14.64 % (24855)Time elapsed: 1.526 s
% 99.36/14.64 % (24855)Instructions burned: 5087 (million)
% 99.36/14.64 % (24855)------------------------------
% 99.36/14.64 % (24855)------------------------------
% 99.36/14.65 % (24860)lrs+10_1:1_ins=1:sgt=8:ss=axioms:i=8517:si=on:rtra=on_0 on theBenchmark for (2857ds/8517Mi)
% 99.36/14.67 % (24858)Instruction limit reached!
% 99.36/14.67 % (24858)------------------------------
% 99.36/14.67 % (24858)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 99.36/14.67 % (24858)Termination reason: Unknown
% 99.36/14.67 % (24858)Termination phase: Function definition elimination
% 99.36/14.67
% 99.36/14.67 % (24858)Memory used [KB]: 3198
% 99.36/14.67 % (24858)Time elapsed: 0.742 s
% 99.36/14.67 % (24858)Instructions burned: 3971 (million)
% 99.36/14.67 % (24858)------------------------------
% 99.36/14.67 % (24858)------------------------------
% 99.75/14.68 % (24861)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=10148:si=on:rtra=on_0 on theBenchmark for (2856ds/10148Mi)
% 100.15/14.77 % (24857)Instruction limit reached!
% 100.15/14.77 % (24857)------------------------------
% 100.15/14.77 % (24857)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 100.15/14.77 % (24857)Termination reason: Unknown
% 100.15/14.77 % (24857)Termination phase: Saturation
% 100.15/14.77
% 100.15/14.77 % (24857)Memory used [KB]: 15095
% 100.15/14.77 % (24857)Time elapsed: 1.228 s
% 100.15/14.77 % (24857)Instructions burned: 4221 (million)
% 100.15/14.77 % (24857)------------------------------
% 100.15/14.77 % (24857)------------------------------
% 100.28/14.78 % (24862)lrs+10_1:2_ntd=on:nwc=10.0:plsq=on:plsqc=1:plsqr=2,1:ss=axioms:i=9078:si=on:rtra=on_0 on theBenchmark for (2855ds/9078Mi)
% 101.96/15.01 % (24848)Instruction limit reached!
% 101.96/15.01 % (24848)------------------------------
% 101.96/15.01 % (24848)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 101.96/15.01 % (24848)Termination reason: Unknown
% 101.96/15.01 % (24848)Termination phase: Saturation
% 101.96/15.01
% 101.96/15.01 % (24848)Memory used [KB]: 15607
% 101.96/15.01 % (24848)Time elapsed: 3.830 s
% 101.96/15.01 % (24848)Instructions burned: 15195 (million)
% 101.96/15.01 % (24848)------------------------------
% 101.96/15.01 % (24848)------------------------------
% 101.96/15.02 % (24863)lrs+2_1:1_bet=on:bsr=on:cnfonf=lazy_pi_sigma_gen:er=filter:kws=inv_frequency:ntd=on:sd=3:ss=axioms:i=16164:si=on:rtra=on_0 on theBenchmark for (2853ds/16164Mi)
% 104.64/15.43 % (24854)Instruction limit reached!
% 104.64/15.43 % (24854)------------------------------
% 104.64/15.43 % (24854)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 104.64/15.43 % (24854)Termination reason: Unknown
% 104.64/15.43 % (24854)Termination phase: Function definition elimination
% 104.64/15.43
% 104.64/15.43 % (24854)Memory used [KB]: 3198
% 104.64/15.43 % (24854)Time elapsed: 2.375 s
% 104.64/15.43 % (24854)Instructions burned: 13164 (million)
% 104.64/15.43 % (24854)------------------------------
% 104.64/15.43 % (24854)------------------------------
% 104.64/15.44 % (24864)lrs+32_1:1_au=on:bet=on:cbe=off:cs=on:ins=3:i=6102:si=on:rtra=on_0 on theBenchmark for (2849ds/6102Mi)
% 110.42/16.20 % (24860)Instruction limit reached!
% 110.42/16.20 % (24860)------------------------------
% 110.42/16.20 % (24860)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 110.42/16.20 % (24860)Termination reason: Unknown
% 110.42/16.20 % (24860)Termination phase: Function definition elimination
% 110.42/16.20
% 110.42/16.20 % (24860)Memory used [KB]: 3198
% 110.42/16.20 % (24860)Time elapsed: 1.545 s
% 110.42/16.20 % (24860)Instructions burned: 8517 (million)
% 110.42/16.20 % (24860)------------------------------
% 110.42/16.20 % (24860)------------------------------
% 110.42/16.21 % (24865)lrs+1010_1:1_au=on:bd=off:e2e=on:fde=unused:nm=4:s2a=on:sos=all:sp=const_frequency:i=10308:si=on:rtra=on_0 on theBenchmark for (2841ds/10308Mi)
% 110.42/16.27 % (24865)Refutation not found, incomplete strategy
% 110.42/16.27 % (24865)------------------------------
% 110.42/16.27 % (24865)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 110.42/16.27 % (24865)Termination reason: Refutation not found, incomplete strategy
% 110.42/16.27
% 110.42/16.27
% 110.42/16.27 % (24865)Memory used [KB]: 7675
% 110.42/16.27 % (24865)Time elapsed: 0.065 s
% 110.42/16.27 % (24865)Instructions burned: 237 (million)
% 110.42/16.27 % (24865)------------------------------
% 110.42/16.27 % (24865)------------------------------
% 110.99/16.28 % (24866)dis+1010_1:1_au=on:avsq=on:bd=off:cbe=off:cnfonf=off:cs=on:hud=5:nm=0:plsq=on:plsqc=1:plsqr=7,1:ss=axioms:tgt=full:i=4041:si=on:rtra=on_0 on theBenchmark for (2840ds/4041Mi)
% 112.30/16.51 % (24866)Refutation not found, incomplete strategy
% 112.30/16.51 % (24866)------------------------------
% 112.30/16.51 % (24866)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 112.30/16.51 % (24866)Termination reason: Refutation not found, incomplete strategy
% 112.30/16.51
% 112.30/16.51
% 112.30/16.51 % (24866)Memory used [KB]: 8059
% 112.30/16.51 % (24866)Time elapsed: 0.256 s
% 112.30/16.51 % (24866)Instructions burned: 805 (million)
% 112.30/16.51 % (24866)------------------------------
% 112.30/16.51 % (24866)------------------------------
% 112.30/16.52 % (24861)Instruction limit reached!
% 112.30/16.52 % (24861)------------------------------
% 112.30/16.52 % (24861)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 112.30/16.52 % (24861)Termination reason: Unknown
% 112.30/16.52 % (24861)Termination phase: Function definition elimination
% 112.30/16.52
% 112.30/16.52 % (24861)Memory used [KB]: 3198
% 112.30/16.52 % (24861)Time elapsed: 1.843 s
% 112.30/16.52 % (24861)Instructions burned: 10150 (million)
% 112.30/16.52 % (24861)------------------------------
% 112.30/16.52 % (24861)------------------------------
% 112.30/16.52 % (24867)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=6901:si=on:rtra=on_0 on theBenchmark for (2838ds/6901Mi)
% 112.30/16.53 % (24868)lrs-1_1:1_au=on:cbe=off:ntd=on:i=5576:si=on:rtra=on_0 on theBenchmark for (2838ds/5576Mi)
% 112.30/16.56 % (24864)Instruction limit reached!
% 112.30/16.56 % (24864)------------------------------
% 112.30/16.56 % (24864)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 112.30/16.56 % (24864)Termination reason: Unknown
% 112.30/16.56 % (24864)Termination phase: Function definition elimination
% 112.30/16.56
% 112.30/16.56 % (24864)Memory used [KB]: 3198
% 112.30/16.56 % (24864)Time elapsed: 1.115 s
% 112.30/16.56 % (24864)Instructions burned: 6107 (million)
% 112.30/16.56 % (24864)------------------------------
% 112.30/16.56 % (24864)------------------------------
% 112.30/16.56 % (24869)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=2014:si=on:rtra=on_0 on theBenchmark for (2837ds/2014Mi)
% 115.29/16.94 % (24869)Instruction limit reached!
% 115.29/16.94 % (24869)------------------------------
% 115.29/16.94 % (24869)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 115.29/16.94 % (24869)Termination reason: Unknown
% 115.29/16.94 % (24869)Termination phase: Function definition elimination
% 115.29/16.94
% 115.29/16.94 % (24869)Memory used [KB]: 3198
% 115.29/16.94 % (24869)Time elapsed: 0.377 s
% 115.29/16.94 % (24869)Instructions burned: 2014 (million)
% 115.29/16.94 % (24869)------------------------------
% 115.29/16.94 % (24869)------------------------------
% 115.29/16.95 % (24870)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=5115:si=on:rtra=on_0 on theBenchmark for (2834ds/5115Mi)
% 119.68/17.54 % (24868)Instruction limit reached!
% 119.68/17.54 % (24868)------------------------------
% 119.68/17.54 % (24868)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 119.68/17.54 % (24868)Termination reason: Unknown
% 119.68/17.54 % (24868)Termination phase: Function definition elimination
% 119.68/17.54
% 119.68/17.54 % (24868)Memory used [KB]: 3198
% 119.68/17.54 % (24868)Time elapsed: 1.014 s
% 119.68/17.54 % (24868)Instructions burned: 5580 (million)
% 119.68/17.54 % (24868)------------------------------
% 119.68/17.54 % (24868)------------------------------
% 119.68/17.54 % (24862)Instruction limit reached!
% 119.68/17.54 % (24862)------------------------------
% 119.68/17.54 % (24862)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 119.68/17.54 % (24862)Termination reason: Unknown
% 119.68/17.54 % (24862)Termination phase: Saturation
% 119.68/17.54
% 119.68/17.54 % (24862)Memory used [KB]: 17910
% 119.68/17.54 % (24862)Time elapsed: 2.784 s
% 119.68/17.54 % (24862)Instructions burned: 9079 (million)
% 119.68/17.54 % (24862)------------------------------
% 119.68/17.54 % (24862)------------------------------
% 119.68/17.55 % (24871)lrs+2_1:1_au=on:cnfonf=lazy_pi_sigma_gen:sos=on:ss=axioms:i=13001:si=on:rtra=on_0 on theBenchmark for (2828ds/13001Mi)
% 119.68/17.55 % (24872)dis+10_1:2_aac=none:acc=on:atotf=0.1:au=on:fde=none:ins=1:ixr=off:nwc=5.0:i=11105:si=on:rtra=on_0 on theBenchmark for (2828ds/11105Mi)
% 120.04/17.61 % (24871)Refutation not found, incomplete strategy
% 120.04/17.61 % (24871)------------------------------
% 120.04/17.61 % (24871)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 120.04/17.61 % (24871)Termination reason: Refutation not found, incomplete strategy
% 120.04/17.61
% 120.04/17.61
% 120.04/17.61 % (24871)Memory used [KB]: 7931
% 120.04/17.61 % (24871)Time elapsed: 0.062 s
% 120.04/17.61 % (24871)Instructions burned: 237 (million)
% 120.04/17.61 % (24871)------------------------------
% 120.04/17.61 % (24871)------------------------------
% 120.04/17.62 % (24873)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=13832:si=on:rtra=on_0 on theBenchmark for (2827ds/13832Mi)
% 121.60/17.89 % (24870)Instruction limit reached!
% 121.60/17.89 % (24870)------------------------------
% 121.60/17.89 % (24870)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 121.60/17.89 % (24870)Termination reason: Unknown
% 121.60/17.89 % (24870)Termination phase: Function definition elimination
% 121.60/17.89
% 121.60/17.89 % (24870)Memory used [KB]: 3070
% 121.60/17.89 % (24870)Time elapsed: 0.941 s
% 121.60/17.89 % (24870)Instructions burned: 5116 (million)
% 121.60/17.89 % (24870)------------------------------
% 121.60/17.89 % (24870)------------------------------
% 121.60/17.90 % (24874)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=32887:si=on:rtra=on_0 on theBenchmark for (2824ds/32887Mi)
% 121.60/17.95 % (24874)Refutation not found, incomplete strategy
% 121.60/17.95 % (24874)------------------------------
% 121.60/17.95 % (24874)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 121.60/17.95 % (24874)Termination reason: Refutation not found, incomplete strategy
% 121.60/17.95
% 121.60/17.95
% 121.60/17.95 % (24874)Memory used [KB]: 7291
% 121.60/17.95 % (24874)Time elapsed: 0.049 s
% 121.60/17.95 % (24874)Instructions burned: 170 (million)
% 121.60/17.95 % (24874)------------------------------
% 121.60/17.95 % (24874)------------------------------
% 121.60/17.95 % (24875)dis+1010_2:1_avsq=on:fde=unused:prag=on:i=3362:si=on:rtra=on_0 on theBenchmark for (2824ds/3362Mi)
% 127.34/18.69 % (24859)Instruction limit reached!
% 127.34/18.69 % (24859)------------------------------
% 127.34/18.69 % (24859)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 127.34/18.70 % (24859)Termination reason: Unknown
% 127.34/18.70 % (24859)Termination phase: Saturation
% 127.34/18.70
% 127.34/18.70 % (24859)Memory used [KB]: 28784
% 127.34/18.70 % (24859)Time elapsed: 4.565 s
% 127.34/18.70 % (24859)Instructions burned: 14015 (million)
% 127.34/18.70 % (24859)------------------------------
% 127.34/18.70 % (24859)------------------------------
% 127.91/18.71 % (24876)ott+1002_1:1_au=on:cnfonf=lazy_simp:nwc=5.0:sgt=5:ss=axioms:st=1.5:i=24965:si=on:rtra=on_0 on theBenchmark for (2816ds/24965Mi)
% 127.91/18.74 % (24867)Instruction limit reached!
% 127.91/18.74 % (24867)------------------------------
% 127.91/18.74 % (24867)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 127.91/18.74 % (24867)Termination reason: Unknown
% 127.91/18.74 % (24867)Termination phase: Saturation
% 127.91/18.74
% 127.91/18.74 % (24867)Memory used [KB]: 17142
% 127.91/18.74 % (24867)Time elapsed: 2.211 s
% 127.91/18.74 % (24867)Instructions burned: 6901 (million)
% 127.91/18.74 % (24867)------------------------------
% 127.91/18.74 % (24867)------------------------------
% 127.91/18.75 % (24877)lrs+1010_2:1_amm=off:avsq=on:c=on:cbe=off:e2e=on:fsr=off:ins=3:s2a=on:s2at=-1.0:i=15705:si=on:rtra=on_0 on theBenchmark for (2816ds/15705Mi)
% 129.06/18.99 % (24875)Instruction limit reached!
% 129.06/18.99 % (24875)------------------------------
% 129.06/18.99 % (24875)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 129.06/18.99 % (24875)Termination reason: Unknown
% 129.06/18.99 % (24875)Termination phase: Saturation
% 129.06/18.99
% 129.06/18.99 % (24875)Memory used [KB]: 16758
% 129.06/18.99 % (24875)Time elapsed: 1.041 s
% 129.06/18.99 % (24875)Instructions burned: 3365 (million)
% 129.06/18.99 % (24875)------------------------------
% 129.06/18.99 % (24875)------------------------------
% 129.06/19.01 % (24878)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1536:si=on:rtra=on_0 on theBenchmark for (2813ds/1536Mi)
% 132.67/19.47 % (24878)Instruction limit reached!
% 132.67/19.47 % (24878)------------------------------
% 132.67/19.47 % (24878)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 132.67/19.47 % (24878)Termination reason: Unknown
% 132.67/19.47 % (24878)Termination phase: Saturation
% 132.67/19.47
% 132.67/19.47 % (24878)Memory used [KB]: 9210
% 132.67/19.47 % (24878)Time elapsed: 0.465 s
% 132.67/19.47 % (24878)Instructions burned: 1538 (million)
% 132.67/19.47 % (24878)------------------------------
% 132.67/19.47 % (24878)------------------------------
% 133.30/19.48 % (24879)dis+10_1:1_fde=none:kws=precedence:piset=not:prag=on:slsq=on:slsqc=1:sp=unary_frequency:i=23684:si=on:rtra=on_0 on theBenchmark for (2808ds/23684Mi)
% 135.39/19.80 % (24863)Instruction limit reached!
% 135.39/19.80 % (24863)------------------------------
% 135.39/19.80 % (24863)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 135.39/19.80 % (24863)Termination reason: Unknown
% 135.39/19.80 % (24863)Termination phase: Saturation
% 135.39/19.80
% 135.39/19.80 % (24863)Memory used [KB]: 17270
% 135.39/19.80 % (24863)Time elapsed: 4.802 s
% 135.39/19.80 % (24863)Instructions burned: 16165 (million)
% 135.39/19.80 % (24863)------------------------------
% 135.39/19.80 % (24863)------------------------------
% 135.39/19.81 % (24880)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=4925:si=on:rtra=on_0 on theBenchmark for (2805ds/4925Mi)
% 137.34/20.17 % (24873)Instruction limit reached!
% 137.34/20.17 % (24873)------------------------------
% 137.34/20.17 % (24873)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 137.34/20.17 % (24873)Termination reason: Unknown
% 137.34/20.17 % (24873)Termination phase: Function definition elimination
% 137.34/20.17
% 137.34/20.17 % (24873)Memory used [KB]: 3198
% 137.34/20.17 % (24873)Time elapsed: 2.524 s
% 137.34/20.17 % (24873)Instructions burned: 13834 (million)
% 137.34/20.17 % (24873)------------------------------
% 137.34/20.17 % (24873)------------------------------
% 137.34/20.18 % (24881)lrs-1010_1:50_au=on:awrs=converge:awrsf=430:bet=on:cbe=off:cha=on:nm=20:sac=on:i=14666:si=on:rtra=on_0 on theBenchmark for (2801ds/14666Mi)
% 141.80/20.71 % (24880)Instruction limit reached!
% 141.80/20.71 % (24880)------------------------------
% 141.80/20.71 % (24880)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 141.80/20.71 % (24880)Termination reason: Unknown
% 141.80/20.71 % (24880)Termination phase: Function definition elimination
% 141.80/20.71
% 141.80/20.71 % (24880)Memory used [KB]: 3070
% 141.80/20.71 % (24880)Time elapsed: 0.896 s
% 141.80/20.71 % (24880)Instructions burned: 4927 (million)
% 141.80/20.71 % (24880)------------------------------
% 141.80/20.71 % (24880)------------------------------
% 141.80/20.72 % (24882)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=3322:si=on:rtra=on_0 on theBenchmark for (2796ds/3322Mi)
% 142.01/20.74 % (24872)Instruction limit reached!
% 142.01/20.74 % (24872)------------------------------
% 142.01/20.74 % (24872)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 142.01/20.74 % (24872)Termination reason: Unknown
% 142.01/20.74 % (24872)Termination phase: Saturation
% 142.01/20.74
% 142.01/20.74 % (24872)Memory used [KB]: 21364
% 142.01/20.74 % (24872)Time elapsed: 3.185 s
% 142.01/20.74 % (24872)Instructions burned: 11105 (million)
% 142.01/20.74 % (24872)------------------------------
% 142.01/20.74 % (24872)------------------------------
% 142.01/20.75 % (24883)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1810:si=on:rtra=on_0 on theBenchmark for (2796ds/1810Mi)
% 144.46/21.09 % (24883)Instruction limit reached!
% 144.46/21.09 % (24883)------------------------------
% 144.46/21.09 % (24883)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 144.46/21.09 % (24883)Termination reason: Unknown
% 144.46/21.09 % (24883)Termination phase: Function definition elimination
% 144.46/21.09
% 144.46/21.09 % (24883)Memory used [KB]: 3070
% 144.46/21.09 % (24883)Time elapsed: 0.340 s
% 144.46/21.09 % (24883)Instructions burned: 1815 (million)
% 144.46/21.09 % (24883)------------------------------
% 144.46/21.09 % (24883)------------------------------
% 144.46/21.10 % (24884)dis+1666_1:1_anc=none:bs=on:cbe=off:cha=on:cnfonf=lazy_gen:fe=off:fsr=off:hud=5:kws=precedence:piset=pi_sigma:prag=on:sos=on:sp=frequency:i=2465:si=on:rtra=on_0 on theBenchmark for (2792ds/2465Mi)
% 145.73/21.32 % (24882)Instruction limit reached!
% 145.73/21.32 % (24882)------------------------------
% 145.73/21.32 % (24882)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 145.73/21.32 % (24882)Termination reason: Unknown
% 145.73/21.32 % (24882)Termination phase: Function definition elimination
% 145.73/21.32
% 145.73/21.32 % (24882)Memory used [KB]: 3070
% 145.73/21.32 % (24882)Time elapsed: 0.604 s
% 145.73/21.32 % (24882)Instructions burned: 3324 (million)
% 145.73/21.32 % (24882)------------------------------
% 145.73/21.32 % (24882)------------------------------
% 145.73/21.33 % (24885)dis+1002_1:1_cbe=off:cnfonf=lazy_pi_sigma_gen:fsr=off:ins=1:kws=inv_precedence:nwc=10.0:ss=axioms:st=2.0:i=41234:si=on:rtra=on_0 on theBenchmark for (2790ds/41234Mi)
% 146.97/21.56 % (24884)Instruction limit reached!
% 146.97/21.56 % (24884)------------------------------
% 146.97/21.56 % (24884)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 146.97/21.56 % (24884)Termination reason: Unknown
% 146.97/21.56 % (24884)Termination phase: Function definition elimination
% 146.97/21.56
% 146.97/21.56 % (24884)Memory used [KB]: 3070
% 146.97/21.56 % (24884)Time elapsed: 0.459 s
% 146.97/21.56 % (24884)Instructions burned: 2469 (million)
% 146.97/21.56 % (24884)------------------------------
% 146.97/21.56 % (24884)------------------------------
% 146.97/21.57 % (24886)dis+1002_1:1_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:nm=0:i=14027:si=on:rtra=on_0 on theBenchmark for (2788ds/14027Mi)
% 147.76/21.58 % (24877)Instruction limit reached!
% 147.76/21.58 % (24877)------------------------------
% 147.76/21.58 % (24877)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 147.76/21.58 % (24877)Termination reason: Unknown
% 147.76/21.58 % (24877)Termination phase: Function definition elimination
% 147.76/21.58
% 147.76/21.58 % (24877)Memory used [KB]: 3198
% 147.76/21.58 % (24877)Time elapsed: 2.832 s
% 147.76/21.58 % (24877)Instructions burned: 15709 (million)
% 147.76/21.58 % (24877)------------------------------
% 147.76/21.58 % (24877)------------------------------
% 147.76/21.59 % (24887)dis+1010_1:1_au=on:cnfonf=conj_eager:nwc=10.0:sac=on:i=27021:si=on:rtra=on_0 on theBenchmark for (2787ds/27021Mi)
% 156.37/22.86 % (24881)Instruction limit reached!
% 156.37/22.86 % (24881)------------------------------
% 156.37/22.86 % (24881)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 156.37/22.86 % (24881)Termination reason: Unknown
% 156.37/22.86 % (24881)Termination phase: Function definition elimination
% 156.37/22.86
% 156.37/22.86 % (24881)Memory used [KB]: 3198
% 156.37/22.86 % (24881)Time elapsed: 2.665 s
% 156.37/22.86 % (24881)Instructions burned: 14666 (million)
% 156.37/22.86 % (24881)------------------------------
% 156.37/22.86 % (24881)------------------------------
% 156.37/22.87 % (24888)dis-1666_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:i=5643:si=on:rtra=on_0 on theBenchmark for (2774ds/5643Mi)
% 163.65/23.90 % (24888)Instruction limit reached!
% 163.65/23.90 % (24888)------------------------------
% 163.65/23.90 % (24888)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 163.65/23.90 % (24888)Termination reason: Unknown
% 163.65/23.90 % (24888)Termination phase: Function definition elimination
% 163.65/23.90
% 163.65/23.90 % (24888)Memory used [KB]: 3070
% 163.65/23.90 % (24888)Time elapsed: 1.032 s
% 163.65/23.90 % (24888)Instructions burned: 5646 (million)
% 163.65/23.90 % (24888)------------------------------
% 163.65/23.90 % (24888)------------------------------
% 163.65/23.91 % (24889)dis+1002_1:1_apa=on:au=on:cnfonf=off:e2e=on:flr=on:nm=4:s2a=on:i=8612:si=on:rtra=on_0 on theBenchmark for (2764ds/8612Mi)
% 165.36/24.10 % (24886)Instruction limit reached!
% 165.36/24.10 % (24886)------------------------------
% 165.36/24.10 % (24886)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 165.36/24.10 % (24886)Termination reason: Unknown
% 165.36/24.10 % (24886)Termination phase: Function definition elimination
% 165.36/24.10
% 165.36/24.10 % (24886)Memory used [KB]: 3198
% 165.36/24.10 % (24886)Time elapsed: 2.536 s
% 165.36/24.10 % (24886)Instructions burned: 14032 (million)
% 165.36/24.10 % (24886)------------------------------
% 165.36/24.10 % (24886)------------------------------
% 165.36/24.11 % (24890)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=3743:si=on:rtra=on_0 on theBenchmark for (2762ds/3743Mi)
% 173.63/25.28 % (24890)Instruction limit reached!
% 173.63/25.28 % (24890)------------------------------
% 173.63/25.28 % (24890)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 173.63/25.28 % (24890)Termination reason: Unknown
% 173.63/25.28 % (24890)Termination phase: Saturation
% 173.63/25.28
% 173.63/25.28 % (24890)Memory used [KB]: 11513
% 173.63/25.28 % (24890)Time elapsed: 1.166 s
% 173.63/25.28 % (24890)Instructions burned: 3743 (million)
% 173.63/25.28 % (24890)------------------------------
% 173.63/25.28 % (24890)------------------------------
% 173.80/25.29 % (24891)dis+10_1:2_amm=off:bd=preordered:cnfonf=off:e2e=on:fe=off:fsr=off:hud=5:nm=3:s2a=on:sos=on:i=2571:si=on:rtra=on_0 on theBenchmark for (2750ds/2571Mi)
% 174.61/25.47 % (24889)Instruction limit reached!
% 174.61/25.47 % (24889)------------------------------
% 174.61/25.47 % (24889)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 174.61/25.47 % (24889)Termination reason: Unknown
% 174.61/25.47 % (24889)Termination phase: Function definition elimination
% 174.61/25.47
% 174.61/25.47 % (24889)Memory used [KB]: 3198
% 174.61/25.47 % (24889)Time elapsed: 1.565 s
% 174.61/25.47 % (24889)Instructions burned: 8615 (million)
% 174.61/25.47 % (24889)------------------------------
% 174.61/25.47 % (24889)------------------------------
% 174.61/25.48 % (24892)dis+1010_1:16_cbe=off:cnfonf=conj_eager:fe=off:hud=15:nwc=3.0:piset=pi_sigma:prag=on:sd=5:sp=weighted_frequency:ss=axioms:st=2.0:i=35728:si=on:rtra=on_0 on theBenchmark for (2748ds/35728Mi)
% 176.87/25.77 % (24891)Instruction limit reached!
% 176.87/25.77 % (24891)------------------------------
% 176.87/25.77 % (24891)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 176.87/25.77 % (24891)Termination reason: Unknown
% 176.87/25.77 % (24891)Termination phase: Function definition elimination
% 176.87/25.77
% 176.87/25.77 % (24891)Memory used [KB]: 3198
% 176.87/25.77 % (24891)Time elapsed: 0.481 s
% 176.87/25.77 % (24891)Instructions burned: 2572 (million)
% 176.87/25.77 % (24891)------------------------------
% 176.87/25.77 % (24891)------------------------------
% 176.87/25.78 % (24893)lrs+1004_1:24_i=5433:si=on:rtra=on_0 on theBenchmark for (2745ds/5433Mi)
% 178.74/26.06 % (24846)Instruction limit reached!
% 178.74/26.06 % (24846)------------------------------
% 178.74/26.06 % (24846)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 178.74/26.06 % (24846)Termination reason: Unknown
% 178.74/26.06 % (24846)Termination phase: Saturation
% 178.74/26.06
% 178.74/26.06 % (24846)Memory used [KB]: 15863
% 178.74/26.06 % (24846)Time elapsed: 15.140 s
% 178.74/26.06 % (24846)Instructions burned: 64912 (million)
% 178.74/26.06 % (24846)------------------------------
% 178.74/26.06 % (24846)------------------------------
% 178.74/26.07 % (24894)ott+1002_1:1_anc=all_dependent:au=on:avsq=on:cnfonf=lazy_pi_sigma_gen:piset=not:i=27944:si=on:rtra=on_0 on theBenchmark for (2742ds/27944Mi)
% 181.60/26.43 % (24876)Instruction limit reached!
% 181.60/26.43 % (24876)------------------------------
% 181.60/26.43 % (24876)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 181.60/26.43 % (24876)Termination reason: Unknown
% 181.60/26.43 % (24876)Termination phase: Saturation
% 181.60/26.43
% 181.60/26.43 % (24876)Memory used [KB]: 29807
% 181.60/26.43 % (24876)Time elapsed: 7.701 s
% 181.60/26.43 % (24876)Instructions burned: 24965 (million)
% 181.60/26.43 % (24876)------------------------------
% 181.60/26.43 % (24876)------------------------------
% 181.60/26.44 % (24895)ott+10_1:10_cnfonf=lazy_gen:fde=none:sp=const_frequency:i=15814:si=on:rtra=on_0 on theBenchmark for (2739ds/15814Mi)
% 181.60/26.44 % (24879)Instruction limit reached!
% 181.60/26.44 % (24879)------------------------------
% 181.60/26.44 % (24879)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 181.60/26.44 % (24879)Termination reason: Unknown
% 181.60/26.44 % (24879)Termination phase: Saturation
% 181.60/26.44
% 181.60/26.44 % (24879)Memory used [KB]: 49892
% 181.60/26.44 % (24879)Time elapsed: 6.959 s
% 181.60/26.44 % (24879)Instructions burned: 23684 (million)
% 181.60/26.44 % (24879)------------------------------
% 181.60/26.44 % (24879)------------------------------
% 181.60/26.46 % (24896)lrs+1002_1:128_atotf=0.1:au=on:cbe=off:ntd=on:sp=const_frequency:i=9867:si=on:rtra=on_0 on theBenchmark for (2739ds/9867Mi)
% 181.60/26.47 % (24887)Instruction limit reached!
% 181.60/26.47 % (24887)------------------------------
% 181.60/26.47 % (24887)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 181.60/26.47 % (24887)Termination reason: Unknown
% 181.60/26.47 % (24887)Termination phase: Function definition elimination
% 181.60/26.47
% 181.60/26.47 % (24887)Memory used [KB]: 3326
% 181.60/26.47 % (24887)Time elapsed: 4.873 s
% 181.60/26.47 % (24887)Instructions burned: 27024 (million)
% 181.60/26.47 % (24887)------------------------------
% 181.60/26.47 % (24887)------------------------------
% 181.60/26.47 % (24897)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=5419:si=on:rtra=on_0 on theBenchmark for (2738ds/5419Mi)
% 184.40/26.81 % (24893)Instruction limit reached!
% 184.40/26.81 % (24893)------------------------------
% 184.40/26.81 % (24893)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 184.40/26.81 % (24893)Termination reason: Unknown
% 184.40/26.81 % (24893)Termination phase: Function definition elimination
% 184.40/26.81
% 184.40/26.81 % (24893)Memory used [KB]: 3198
% 184.40/26.81 % (24893)Time elapsed: 1.031 s
% 184.40/26.81 % (24893)Instructions burned: 5433 (million)
% 184.40/26.81 % (24893)------------------------------
% 184.40/26.81 % (24893)------------------------------
% 184.40/26.82 % (24898)dis+1010_1:28_au=on:cnfonf=off:e2e=on:fde=none:nicw=on:s2a=on:s2at=5.0:tgt=full:i=15386:si=on:rtra=on_0 on theBenchmark for (2735ds/15386Mi)
% 188.57/27.45 % (24897)Instruction limit reached!
% 188.57/27.45 % (24897)------------------------------
% 188.57/27.45 % (24897)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 188.57/27.45 % (24897)Termination reason: Unknown
% 188.57/27.45 % (24897)Termination phase: Function definition elimination
% 188.57/27.45
% 188.57/27.45 % (24897)Memory used [KB]: 3070
% 188.57/27.45 % (24897)Time elapsed: 0.975 s
% 188.57/27.45 % (24897)Instructions burned: 5423 (million)
% 188.57/27.45 % (24897)------------------------------
% 188.57/27.45 % (24897)------------------------------
% 188.57/27.46 % (24899)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 (2729ds/4714Mi)
% 194.28/28.23 % (24896)Instruction limit reached!
% 194.28/28.23 % (24896)------------------------------
% 194.28/28.23 % (24896)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 194.28/28.23 % (24896)Termination reason: Unknown
% 194.28/28.23 % (24896)Termination phase: Function definition elimination
% 194.28/28.23
% 194.28/28.23 % (24896)Memory used [KB]: 3198
% 194.28/28.23 % (24896)Time elapsed: 1.777 s
% 194.28/28.23 % (24896)Instructions burned: 9869 (million)
% 194.28/28.23 % (24896)------------------------------
% 194.28/28.23 % (24896)------------------------------
% 194.28/28.24 % (24900)lrs+10_1:1_bd=off:c=on:fsr=off:ntd=on:prag=on:sd=1:sos=all:ss=axioms:st=5.0:i=42749:si=on:rtra=on_0 on theBenchmark for (2721ds/42749Mi)
% 194.73/28.34 % (24899)Instruction limit reached!
% 194.73/28.34 % (24899)------------------------------
% 194.73/28.34 % (24899)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 194.73/28.34 % (24899)Termination reason: Unknown
% 194.73/28.34 % (24899)Termination phase: Function definition elimination
% 194.73/28.34
% 194.73/28.34 % (24899)Memory used [KB]: 3070
% 194.73/28.34 % (24899)Time elapsed: 0.881 s
% 194.73/28.34 % (24899)Instructions burned: 4715 (million)
% 194.73/28.34 % (24899)------------------------------
% 194.73/28.34 % (24899)------------------------------
% 194.73/28.35 % (24901)lrs+10_1:156_afp=4000:avsq=on:avsqr=4,1:fe=axiom:ss=axioms:tgt=ground:i=19001:si=on:rtra=on_0 on theBenchmark for (2720ds/19001Mi)
% 213.14/30.98 % (24895)Instruction limit reached!
% 213.14/30.98 % (24895)------------------------------
% 213.14/30.98 % (24895)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 213.14/30.98 % (24895)Termination reason: Unknown
% 213.14/30.98 % (24895)Termination phase: Saturation
% 213.14/30.98
% 213.14/30.98 % (24895)Memory used [KB]: 33645
% 213.14/30.98 % (24895)Time elapsed: 4.533 s
% 213.14/30.98 % (24895)Instructions burned: 15817 (million)
% 213.14/30.98 % (24895)------------------------------
% 213.14/30.98 % (24895)------------------------------
% 213.14/30.99 % (24902)lrs+1_1:1_au=on:cbe=off:cs=on:nm=4:i=14341:si=on:rtra=on_0 on theBenchmark for (2693ds/14341Mi)
% 214.30/31.14 % (24894)Instruction limit reached!
% 214.30/31.14 % (24894)------------------------------
% 214.30/31.14 % (24894)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 214.30/31.14 % (24894)Termination reason: Unknown
% 214.30/31.14 % (24894)Termination phase: Function definition elimination
% 214.30/31.14
% 214.30/31.14 % (24894)Memory used [KB]: 3326
% 214.30/31.14 % (24894)Time elapsed: 5.071 s
% 214.30/31.14 % (24894)Instructions burned: 27946 (million)
% 214.30/31.14 % (24894)------------------------------
% 214.30/31.14 % (24894)------------------------------
% 214.30/31.15 % (24903)lrs+10_1:1_cnfonf=off:sd=1:ss=axioms:st=3.0:i=13159:si=on:rtra=on_0 on theBenchmark for (2692ds/13159Mi)
% 218.51/31.72 % (24898)Instruction limit reached!
% 218.51/31.72 % (24898)------------------------------
% 218.51/31.72 % (24898)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 218.51/31.73 % (24898)Termination reason: Unknown
% 218.51/31.73 % (24898)Termination phase: Saturation
% 218.51/31.73
% 218.51/31.73 % (24898)Memory used [KB]: 29040
% 218.51/31.73 % (24898)Time elapsed: 4.911 s
% 218.51/31.73 % (24898)Instructions burned: 15388 (million)
% 218.51/31.73 % (24898)------------------------------
% 218.51/31.73 % (24898)------------------------------
% 218.51/31.74 % (24904)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=6604:si=on:rtra=on_0 on theBenchmark for (2686ds/6604Mi)
% 218.51/31.77 % (24904)Refutation not found, incomplete strategy
% 218.51/31.77 % (24904)------------------------------
% 218.51/31.77 % (24904)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 218.51/31.77 % (24904)Termination reason: Refutation not found, incomplete strategy
% 218.51/31.77
% 218.51/31.77
% 218.51/31.77 % (24904)Memory used [KB]: 7164
% 218.51/31.77 % (24904)Time elapsed: 0.040 s
% 218.51/31.77 % (24904)Instructions burned: 125 (million)
% 218.51/31.77 % (24904)------------------------------
% 218.51/31.77 % (24904)------------------------------
% 219.17/31.79 % (24905)dis+1002_1:1_au=on:bsr=unit_only:cbe=off:fe=off:fsr=off:nm=10:nwc=6.0:plsq=on:plsqc=1:plsqr=32,1:sos=all:i=2635:si=on:rtra=on_0 on theBenchmark for (2685ds/2635Mi)
% 222.67/32.32 % (24905)Instruction limit reached!
% 222.67/32.32 % (24905)------------------------------
% 222.67/32.32 % (24905)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 222.67/32.32 % (24905)Termination reason: Unknown
% 222.67/32.32 % (24905)Termination phase: Function definition elimination
% 222.67/32.32
% 222.67/32.32 % (24905)Memory used [KB]: 3198
% 222.67/32.32 % (24905)Time elapsed: 0.529 s
% 222.67/32.32 % (24905)Instructions burned: 2639 (million)
% 222.67/32.32 % (24905)------------------------------
% 222.67/32.32 % (24905)------------------------------
% 222.67/32.33 % (24906)lrs+1666_1:1_au=on:s2a=on:sd=2:ss=axioms:st=5.0:i=41131:si=on:rtra=on_0 on theBenchmark for (2680ds/41131Mi)
% 223.55/32.48 % (24885)Instruction limit reached!
% 223.55/32.48 % (24885)------------------------------
% 223.55/32.48 % (24885)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 223.55/32.48 % (24885)Termination reason: Unknown
% 223.55/32.48 % (24885)Termination phase: Saturation
% 223.55/32.48
% 223.55/32.48 % (24885)Memory used [KB]: 26609
% 223.55/32.48 % (24885)Time elapsed: 11.170 s
% 223.55/32.48 % (24885)Instructions burned: 41235 (million)
% 223.55/32.48 % (24885)------------------------------
% 223.55/32.48 % (24885)------------------------------
% 223.55/32.49 % (24907)ott+1666_1:1_hfaw=0:hfsq=on:hfsql=off:hfsqr=1,16:hud=15:slsq=on:slsqr=1,2:tnu=2:i=3971:si=on:rtra=on_0 on theBenchmark for (2678ds/3971Mi)
% 224.10/32.57 % (24906)Refutation not found, incomplete strategy
% 224.10/32.57 % (24906)------------------------------
% 224.10/32.57 % (24906)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 224.10/32.57 % (24906)Termination reason: Refutation not found, incomplete strategy
% 224.10/32.57
% 224.10/32.57
% 224.10/32.57 % (24906)Memory used [KB]: 8827
% 224.10/32.57 % (24906)Time elapsed: 0.246 s
% 224.10/32.57 % (24906)Instructions burned: 911 (million)
% 224.10/32.57 % (24906)------------------------------
% 224.10/32.57 % (24906)------------------------------
% 224.10/32.58 % (24908)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2142:si=on:rtra=on_0 on theBenchmark for (2677ds/2142Mi)
% 229.01/33.22 % (24907)Instruction limit reached!
% 229.01/33.22 % (24907)------------------------------
% 229.01/33.22 % (24907)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 229.01/33.22 % (24907)Termination reason: Unknown
% 229.01/33.22 % (24907)Termination phase: Function definition elimination
% 229.01/33.22
% 229.01/33.22 % (24907)Memory used [KB]: 3198
% 229.01/33.22 % (24907)Time elapsed: 0.730 s
% 229.01/33.22 % (24907)Instructions burned: 3976 (million)
% 229.01/33.22 % (24907)------------------------------
% 229.01/33.22 % (24907)------------------------------
% 229.01/33.23 % (24909)dis-1_1:1_amm=off:au=on:cbe=off:spb=intro:i=1314:si=on:rtra=on_0 on theBenchmark for (2671ds/1314Mi)
% 229.01/33.26 % (24908)Instruction limit reached!
% 229.01/33.26 % (24908)------------------------------
% 229.01/33.26 % (24908)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 229.01/33.26 % (24908)Termination reason: Unknown
% 229.01/33.26 % (24908)Termination phase: Saturation
% 229.01/33.26
% 229.01/33.26 % (24908)Memory used [KB]: 12281
% 229.01/33.26 % (24908)Time elapsed: 0.702 s
% 229.01/33.26 % (24908)Instructions burned: 2142 (million)
% 229.01/33.26 % (24908)------------------------------
% 229.01/33.26 % (24908)------------------------------
% 229.01/33.27 % (24910)dis+1010_2:1_avsq=on:fde=unused:prag=on:i=3362:si=on:rtra=on_0 on theBenchmark for (2671ds/3362Mi)
% 229.72/33.33 % (24901)Instruction limit reached!
% 229.72/33.33 % (24901)------------------------------
% 229.72/33.33 % (24901)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 229.72/33.33 % (24901)Termination reason: Unknown
% 229.72/33.33 % (24901)Termination phase: Saturation
% 229.72/33.33
% 229.72/33.33 % (24901)Memory used [KB]: 17270
% 229.72/33.33 % (24901)Time elapsed: 4.989 s
% 229.72/33.33 % (24901)Instructions burned: 19003 (million)
% 229.72/33.33 % (24901)------------------------------
% 229.72/33.33 % (24901)------------------------------
% 229.72/33.35 % (24911)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=5756:si=on:rtra=on_0 on theBenchmark for (2670ds/5756Mi)
% 229.72/33.40 % (24911)Refutation not found, incomplete strategy
% 229.72/33.40 % (24911)------------------------------
% 229.72/33.40 % (24911)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 229.72/33.40 % (24911)Termination reason: Refutation not found, incomplete strategy
% 229.72/33.40
% 229.72/33.40
% 229.72/33.40 % (24911)Memory used [KB]: 7675
% 229.72/33.40 % (24911)Time elapsed: 0.060 s
% 229.72/33.40 % (24911)Instructions burned: 218 (million)
% 229.72/33.40 % (24911)------------------------------
% 229.72/33.40 % (24911)------------------------------
% 229.72/33.41 % (24912)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=2607:si=on:rtra=on_0 on theBenchmark for (2669ds/2607Mi)
% 230.56/33.48 % (24909)Instruction limit reached!
% 230.56/33.48 % (24909)------------------------------
% 230.56/33.48 % (24909)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 230.56/33.48 % (24909)Termination reason: Unknown
% 230.56/33.48 % (24909)Termination phase: Function definition elimination
% 230.56/33.48
% 230.56/33.48 % (24909)Memory used [KB]: 3198
% 230.56/33.48 % (24909)Time elapsed: 0.247 s
% 230.56/33.48 % (24909)Instructions burned: 1315 (million)
% 230.56/33.48 % (24909)------------------------------
% 230.56/33.48 % (24909)------------------------------
% 230.56/33.48 % (24913)ott+2_1:1_au=on:hfsq=on:hfsqc=5:hfsql=off:nwc=5.0:sd=3:ss=axioms:st=5.0:i=15187:si=on:rtra=on_0 on theBenchmark for (2668ds/15187Mi)
% 231.70/33.60 % (24902)Instruction limit reached!
% 231.70/33.60 % (24902)------------------------------
% 231.70/33.60 % (24902)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 231.70/33.60 % (24902)Termination reason: Unknown
% 231.70/33.60 % (24902)Termination phase: Function definition elimination
% 231.70/33.60
% 231.70/33.60 % (24902)Memory used [KB]: 3198
% 231.70/33.60 % (24902)Time elapsed: 2.608 s
% 231.70/33.60 % (24902)Instructions burned: 14342 (million)
% 231.70/33.60 % (24902)------------------------------
% 231.70/33.60 % (24902)------------------------------
% 231.70/33.61 % (24914)dis-1666_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:i=21027:si=on:rtra=on_0 on theBenchmark for (2667ds/21027Mi)
% 232.77/33.89 % (24912)Instruction limit reached!
% 232.77/33.89 % (24912)------------------------------
% 232.77/33.89 % (24912)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 232.77/33.89 % (24912)Termination reason: Unknown
% 232.77/33.89 % (24912)Termination phase: Function definition elimination
% 232.77/33.89
% 232.77/33.89 % (24912)Memory used [KB]: 3070
% 232.77/33.89 % (24912)Time elapsed: 0.476 s
% 232.77/33.89 % (24912)Instructions burned: 2609 (million)
% 232.77/33.89 % (24912)------------------------------
% 232.77/33.89 % (24912)------------------------------
% 233.23/33.90 % (24915)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=35698:si=on:rtra=on_0 on theBenchmark for (2664ds/35698Mi)
% 236.86/34.33 % (24910)Instruction limit reached!
% 236.86/34.33 % (24910)------------------------------
% 236.86/34.33 % (24910)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 236.86/34.33 % (24910)Termination reason: Unknown
% 236.86/34.33 % (24910)Termination phase: Saturation
% 236.86/34.33
% 236.86/34.33 % (24910)Memory used [KB]: 16758
% 236.86/34.33 % (24910)Time elapsed: 1.074 s
% 236.86/34.33 % (24910)Instructions burned: 3362 (million)
% 236.86/34.33 % (24910)------------------------------
% 236.86/34.33 % (24910)------------------------------
% 236.86/34.34 % (24916)lrs-1010_1:50_au=on:awrs=converge:awrsf=430:bet=on:cbe=off:cha=on:nm=20:sac=on:i=14573:si=on:rtra=on_0 on theBenchmark for (2660ds/14573Mi)
% 241.12/34.99 % (24903)Instruction limit reached!
% 241.12/34.99 % (24903)------------------------------
% 241.12/34.99 % (24903)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 241.12/34.99 % (24903)Termination reason: Unknown
% 241.12/34.99 % (24903)Termination phase: Saturation
% 241.12/34.99
% 241.12/34.99 % (24903)Memory used [KB]: 34541
% 241.12/34.99 % (24903)Time elapsed: 3.823 s
% 241.12/34.99 % (24903)Instructions burned: 13161 (million)
% 241.12/34.99 % (24903)------------------------------
% 241.12/34.99 % (24903)------------------------------
% 241.12/35.00 % (24917)dis+1010_1:1_anc=all_dependent:au=on:bs=on:sd=5:sp=occurrence:ss=axioms:st=2.0:i=14014:si=on:rtra=on_0 on theBenchmark for (2653ds/14014Mi)
% 251.43/36.41 % (24913)First to succeed.
% 251.48/36.45 % (24913)Refutation found. Thanks to Tanya!
% 251.48/36.45 % SZS status Theorem for theBenchmark
% 251.48/36.45 % SZS output start Proof for theBenchmark
% 251.48/36.45 thf(func_def_0, type, is_of: $i > ($i > $o) > $o).
% 251.48/36.45 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o).
% 251.48/36.45 thf(func_def_3, type, eps: ($i > $o) > $i).
% 251.48/36.45 thf(func_def_4, type, in: $i > $i > $o).
% 251.48/36.45 thf(func_def_5, type, d_Subq: $i > $i > $o).
% 251.48/36.45 thf(func_def_7, type, union: $i > $i).
% 251.48/36.45 thf(func_def_8, type, power: $i > $i).
% 251.48/36.45 thf(func_def_9, type, repl: $i > ($i > $i) > $i).
% 251.48/36.45 thf(func_def_10, type, d_Union_closed: $i > $o).
% 251.48/36.45 thf(func_def_11, type, d_Power_closed: $i > $o).
% 251.48/36.45 thf(func_def_12, type, d_Repl_closed: $i > $o).
% 251.48/36.45 thf(func_def_13, type, d_ZF_closed: $i > $o).
% 251.48/36.45 thf(func_def_14, type, univof: $i > $i).
% 251.48/36.45 thf(func_def_15, type, if: $o > $i > $i > $i).
% 251.48/36.45 thf(func_def_16, type, nIn: $i > $i > $o).
% 251.48/36.45 thf(func_def_17, type, d_UPair: $i > $i > $i).
% 251.48/36.45 thf(func_def_18, type, d_Sing: $i > $i).
% 251.48/36.45 thf(func_def_19, type, binunion: $i > $i > $i).
% 251.48/36.45 thf(func_def_20, type, famunion: $i > ($i > $i) > $i).
% 251.48/36.45 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i).
% 251.48/36.45 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
% 251.48/36.45 thf(func_def_23, type, setminus: $i > $i > $i).
% 251.48/36.45 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o).
% 251.48/36.45 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i).
% 251.48/36.45 thf(func_def_26, type, ordsucc: $i > $i).
% 251.48/36.45 thf(func_def_27, type, nat_p: $i > $o).
% 251.48/36.45 thf(func_def_29, type, d_Inj1: $i > $i).
% 251.48/36.45 thf(func_def_30, type, d_Inj0: $i > $i).
% 251.48/36.45 thf(func_def_31, type, d_Unj: $i > $i).
% 251.48/36.45 thf(func_def_32, type, pair: $i > $i > $i).
% 251.48/36.45 thf(func_def_33, type, proj0: $i > $i).
% 251.48/36.45 thf(func_def_34, type, proj1: $i > $i).
% 251.48/36.45 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i).
% 251.48/36.45 thf(func_def_36, type, setprod: $i > $i > $i).
% 251.48/36.45 thf(func_def_37, type, ap: $i > $i > $i).
% 251.48/36.45 thf(func_def_38, type, pair_p: $i > $o).
% 251.48/36.45 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i).
% 251.48/36.45 thf(func_def_40, type, imp: $o > $o > $o).
% 251.48/36.45 thf(func_def_41, type, d_not: $o > $o).
% 251.48/36.45 thf(func_def_42, type, wel: $o > $o).
% 251.48/36.45 thf(func_def_44, type, l_ec: $o > $o > $o).
% 251.48/36.45 thf(func_def_45, type, d_and: $o > $o > $o).
% 251.48/36.45 thf(func_def_46, type, l_or: $o > $o > $o).
% 251.48/36.45 thf(func_def_47, type, orec: $o > $o > $o).
% 251.48/36.45 thf(func_def_48, type, l_iff: $o > $o > $o).
% 251.48/36.45 thf(func_def_49, type, all: $i > ($i > $o) > $o).
% 251.48/36.45 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o).
% 251.48/36.45 thf(func_def_51, type, l_some: $i > ($i > $o) > $o).
% 251.48/36.45 thf(func_def_52, type, or3: $o > $o > $o > $o).
% 251.48/36.45 thf(func_def_53, type, and3: $o > $o > $o > $o).
% 251.48/36.45 thf(func_def_54, type, ec3: $o > $o > $o > $o).
% 251.48/36.45 thf(func_def_55, type, orec3: $o > $o > $o > $o).
% 251.48/36.45 thf(func_def_56, type, e_is: $i > $i > $i > $o).
% 251.48/36.45 thf(func_def_57, type, amone: $i > ($i > $o) > $o).
% 251.48/36.45 thf(func_def_58, type, one: $i > ($i > $o) > $o).
% 251.48/36.45 thf(func_def_59, type, ind: $i > ($i > $o) > $i).
% 251.48/36.45 thf(func_def_60, type, injective: $i > $i > $i > $o).
% 251.48/36.45 thf(func_def_61, type, image: $i > $i > $i > $i > $o).
% 251.48/36.45 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i).
% 251.48/36.45 thf(func_def_63, type, soft: $i > $i > $i > $i > $i).
% 251.48/36.45 thf(func_def_64, type, inverse: $i > $i > $i > $i).
% 251.48/36.45 thf(func_def_65, type, surjective: $i > $i > $i > $o).
% 251.48/36.45 thf(func_def_66, type, bijective: $i > $i > $i > $o).
% 251.48/36.45 thf(func_def_67, type, invf: $i > $i > $i > $i).
% 251.48/36.45 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i).
% 251.48/36.45 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i).
% 251.48/36.45 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i).
% 251.48/36.45 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i).
% 251.48/36.45 thf(func_def_72, type, first: $i > $i > $i > $i).
% 251.48/36.45 thf(func_def_73, type, second: $i > $i > $i > $i).
% 251.48/36.45 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o).
% 251.48/36.45 thf(func_def_75, type, ite: $o > $i > $i > $i > $i).
% 251.48/36.45 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i).
% 251.48/36.45 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i).
% 251.48/36.45 thf(func_def_78, type, wissel: $i > $i > $i > $i).
% 251.48/36.45 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i).
% 251.48/36.45 thf(func_def_80, type, r_ec: $o > $o > $o).
% 251.48/36.45 thf(func_def_81, type, esti: $i > $i > $i > $o).
% 251.48/36.45 thf(func_def_82, type, empty: $i > $i > $o).
% 251.48/36.45 thf(func_def_83, type, nonempty: $i > $i > $o).
% 251.48/36.45 thf(func_def_84, type, incl: $i > $i > $i > $o).
% 251.48/36.45 thf(func_def_85, type, st_disj: $i > $i > $i > $o).
% 251.48/36.45 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o).
% 251.48/36.45 thf(func_def_87, type, unmore: $i > $i > $i > $i).
% 251.48/36.45 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i).
% 251.48/36.45 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o).
% 251.48/36.45 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o).
% 251.48/36.45 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i).
% 251.48/36.45 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i).
% 251.48/36.45 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i).
% 251.48/36.45 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i).
% 251.48/36.45 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o).
% 251.48/36.45 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o).
% 251.48/36.45 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o).
% 251.48/36.45 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 251.48/36.45 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o).
% 251.48/36.45 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 251.48/36.45 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i).
% 251.48/36.45 thf(func_def_103, type, n_is: $i > $i > $o).
% 251.48/36.45 thf(func_def_104, type, nis: $i > $i > $o).
% 251.48/36.45 thf(func_def_105, type, n_in: $i > $i > $o).
% 251.48/36.45 thf(func_def_106, type, n_some: ($i > $o) > $o).
% 251.48/36.45 thf(func_def_107, type, n_all: ($i > $o) > $o).
% 251.48/36.45 thf(func_def_108, type, n_one: ($i > $o) > $o).
% 251.48/36.45 thf(func_def_110, type, cond1: $i > $o).
% 251.48/36.45 thf(func_def_111, type, cond2: $i > $o).
% 251.48/36.45 thf(func_def_112, type, i1_s: ($i > $o) > $i).
% 251.48/36.45 thf(func_def_113, type, d_22_prop1: $i > $o).
% 251.48/36.45 thf(func_def_114, type, d_23_prop1: $i > $o).
% 251.48/36.45 thf(func_def_115, type, d_24_prop1: $i > $o).
% 251.48/36.45 thf(func_def_116, type, d_24_prop2: $i > $i > $o).
% 251.48/36.45 thf(func_def_117, type, prop3: $i > $i > $i > $o).
% 251.48/36.45 thf(func_def_118, type, prop4: $i > $o).
% 251.48/36.45 thf(func_def_119, type, d_24_g: $i > $i).
% 251.48/36.45 thf(func_def_120, type, plus: $i > $i).
% 251.48/36.45 thf(func_def_121, type, n_pl: $i > $i > $i).
% 251.48/36.45 thf(func_def_122, type, d_25_prop1: $i > $i > $i > $o).
% 251.48/36.45 thf(func_def_123, type, d_26_prop1: $i > $i > $o).
% 251.48/36.45 thf(func_def_124, type, d_27_prop1: $i > $i > $o).
% 251.48/36.45 thf(func_def_125, type, d_28_prop1: $i > $i > $i > $o).
% 251.48/36.45 thf(func_def_126, type, diffprop: $i > $i > $i > $o).
% 251.48/36.45 thf(func_def_127, type, d_29_ii: $i > $i > $o).
% 251.48/36.45 thf(func_def_128, type, iii: $i > $i > $o).
% 251.48/36.45 thf(func_def_129, type, d_29_prop1: $i > $i > $o).
% 251.48/36.45 thf(func_def_130, type, moreis: $i > $i > $o).
% 251.48/36.45 thf(func_def_131, type, lessis: $i > $i > $o).
% 251.48/36.45 thf(func_def_132, type, lbprop: ($i > $o) > $i > $i > $o).
% 251.48/36.45 thf(func_def_133, type, n_lb: ($i > $o) > $i > $o).
% 251.48/36.45 thf(func_def_134, type, min: ($i > $o) > $i > $o).
% 251.48/36.45 thf(func_def_135, type, d_428_prop1: $i > $i > $o).
% 251.48/36.45 thf(func_def_136, type, d_428_prop2: $i > $i > $o).
% 251.48/36.45 thf(func_def_137, type, d_428_prop4: $i > $o).
% 251.48/36.45 thf(func_def_139, type, d_428_g: $i > $i).
% 251.48/36.45 thf(func_def_140, type, times: $i > $i).
% 251.48/36.45 thf(func_def_141, type, n_ts: $i > $i > $i).
% 251.48/36.45 thf(func_def_142, type, d_429_prop1: $i > $i > $o).
% 251.48/36.45 thf(func_def_143, type, d_430_prop1: $i > $i > $i > $o).
% 251.48/36.45 thf(func_def_144, type, d_431_prop1: $i > $i > $i > $o).
% 251.48/36.45 thf(func_def_145, type, n_mn: $i > $i > $i).
% 251.48/36.45 thf(func_def_146, type, d_1to: $i > $i).
% 251.48/36.45 thf(func_def_147, type, outn: $i > $i > $i).
% 251.48/36.45 thf(func_def_148, type, inn: $i > $i > $i).
% 251.48/36.45 thf(func_def_150, type, singlet_u0: $i > $i).
% 251.48/36.45 thf(func_def_154, type, pair_u0: $i > $i).
% 251.48/36.45 thf(func_def_155, type, pair1type: $i > $i).
% 251.48/36.45 thf(func_def_156, type, pair1: $i > $i > $i > $i).
% 251.48/36.45 thf(func_def_157, type, first1: $i > $i > $i).
% 251.48/36.45 thf(func_def_158, type, second1: $i > $i > $i).
% 251.48/36.45 thf(func_def_159, type, pair_q0: $i > $i > $i).
% 251.48/36.45 thf(func_def_160, type, d_1out: $i > $i).
% 251.48/36.45 thf(func_def_161, type, xout: $i > $i).
% 251.48/36.45 thf(func_def_162, type, left1to: $i > $i > $i > $i).
% 251.48/36.45 thf(func_def_163, type, right1to: $i > $i > $i > $i).
% 251.48/36.45 thf(func_def_164, type, left: $i > $i > $i > $i > $i).
% 251.48/36.45 thf(func_def_165, type, right: $i > $i > $i > $i > $i).
% 251.48/36.45 thf(func_def_166, type, left_f1: $i > $i > $i > $i > $i).
% 251.48/36.45 thf(func_def_167, type, left_f2: $i > $i > $i > $i > $i).
% 251.48/36.45 thf(func_def_169, type, n_fr: $i > $i > $i).
% 251.48/36.45 thf(func_def_170, type, num: $i > $i).
% 251.48/36.45 thf(func_def_171, type, den: $i > $i).
% 251.48/36.45 thf(func_def_172, type, n_eq: $i > $i > $o).
% 251.48/36.45 thf(func_def_173, type, moref: $i > $i > $o).
% 251.48/36.45 thf(func_def_174, type, lessf: $i > $i > $o).
% 251.48/36.45 thf(func_def_175, type, moreq: $i > $i > $o).
% 251.48/36.45 thf(func_def_176, type, lesseq: $i > $i > $o).
% 251.48/36.45 thf(func_def_177, type, n_pf: $i > $i > $i).
% 251.48/36.45 thf(func_def_178, type, d_367_vo: $i > $i > $i).
% 251.48/36.45 thf(func_def_179, type, d_367_w: $i > $i > $i).
% 251.48/36.45 thf(func_def_180, type, n_tf: $i > $i > $i).
% 251.48/36.45 thf(func_def_181, type, d_477_v: $i > $i > $i).
% 251.48/36.45 thf(func_def_182, type, inf: $i > $i > $o).
% 251.48/36.45 thf(func_def_184, type, rt_is: $i > $i > $o).
% 251.48/36.45 thf(func_def_185, type, rt_nis: $i > $i > $o).
% 251.48/36.45 thf(func_def_186, type, rt_some: ($i > $o) > $o).
% 251.48/36.45 thf(func_def_187, type, rt_all: ($i > $o) > $o).
% 251.48/36.45 thf(func_def_188, type, rt_one: ($i > $o) > $o).
% 251.48/36.45 thf(func_def_189, type, rt_in: $i > $i > $o).
% 251.48/36.45 thf(func_def_190, type, ratof: $i > $i).
% 251.48/36.45 thf(func_def_191, type, class: $i > $i).
% 251.48/36.45 thf(func_def_192, type, fixf: $i > $i > $o).
% 251.48/36.45 thf(func_def_193, type, indrat: $i > $i > $i > $i > $i).
% 251.48/36.45 thf(func_def_194, type, rt_more: $i > $i > $o).
% 251.48/36.45 thf(func_def_195, type, propm: $i > $i > $i > $i > $o).
% 251.48/36.45 thf(func_def_196, type, rt_less: $i > $i > $o).
% 251.48/36.45 thf(func_def_197, type, propl: $i > $i > $i > $i > $o).
% 251.48/36.45 thf(func_def_198, type, rt_moreis: $i > $i > $o).
% 251.48/36.45 thf(func_def_199, type, rt_lessis: $i > $i > $o).
% 251.48/36.45 thf(func_def_218, type, sK0: $i > $i > $i > $i).
% 251.48/36.45 thf(func_def_219, type, sK1: $i > $i).
% 251.48/36.45 thf(func_def_220, type, sK2: ($i > $o) > $i).
% 251.48/36.45 thf(func_def_221, type, sK3: ($i > $i) > $i > ($i > $i) > $i).
% 251.48/36.45 thf(func_def_222, type, sK4: ($i > $o) > $i).
% 251.48/36.45 thf(func_def_224, type, sK6: $i > $i > $o).
% 251.48/36.45 thf(func_def_225, type, sK7: ($i > $o) > $i).
% 251.48/36.45 thf(func_def_226, type, sK8: ($i > $o) > $i).
% 251.48/36.45 thf(func_def_227, type, sK9: ($i > $o) > $i).
% 251.48/36.45 thf(func_def_230, type, sK12: $i > $i > $i > $i).
% 251.48/36.45 thf(func_def_231, type, sK13: $i > $i > $o).
% 251.48/36.45 thf(func_def_232, type, sK14: $i > $i > $o).
% 251.48/36.45 thf(func_def_233, type, sK15: $i > $i > $o).
% 251.48/36.45 thf(func_def_234, type, sK16: ($i > $o) > $i).
% 251.48/36.45 thf(func_def_235, type, sK17: ($i > $o) > $i).
% 251.48/36.45 thf(func_def_236, type, sK18: ($i > $o) > $i).
% 251.48/36.45 thf(func_def_237, type, sK19: $i > $i > $o).
% 251.48/36.45 thf(func_def_238, type, sK20: ($i > $o) > $i).
% 251.48/36.45 thf(func_def_239, type, ph21: !>[X0: $tType]:(X0)).
% 251.48/36.45 thf(func_def_240, type, sK22: $i > ($i > $o) > $i).
% 251.48/36.45 thf(func_def_241, type, sK23: ($i > $i) > $i > $i).
% 251.48/36.45 thf(func_def_242, type, sK24: $i > ($i > $o) > $i).
% 251.48/36.45 thf(func_def_243, type, sK25: $i > ($i > $o) > $i).
% 251.48/36.45 thf(func_def_244, type, sK26: $i > ($i > $o) > $i).
% 251.48/36.45 thf(func_def_245, type, sK27: $i > ($i > $o) > $i).
% 251.48/36.45 thf(func_def_246, type, sK28: $i > ($i > $o) > $i).
% 251.48/36.45 thf(func_def_247, type, sK29: ($i > $i) > $i > $i).
% 251.48/36.45 thf(func_def_248, type, sK30: ($i > $i) > $i > $i).
% 251.48/36.45 thf(func_def_249, type, sK31: $i > ($i > $o) > $i).
% 251.48/36.45 thf(func_def_250, type, sK32: ($i > $i) > $i > $i).
% 251.48/36.45 thf(func_def_253, type, sK35: $i > ($i > $o) > $i).
% 251.48/36.45 thf(func_def_255, type, sK37: $i > ($i > $o) > $i).
% 251.48/36.45 thf(func_def_257, type, sK39: $i > ($i > $o) > $i).
% 251.48/36.45 thf(f7583,plain,(
% 251.48/36.45 $false),
% 251.48/36.45 inference(trivial_inequality_removal,[],[f7582])).
% 251.48/36.45 thf(f7582,plain,(
% 251.48/36.45 ($true = $false)),
% 251.48/36.45 inference(backward_demodulation,[],[f3002,f7581])).
% 251.48/36.45 thf(f7581,plain,(
% 251.48/36.45 ((in @ sK11 @ rat) = $false)),
% 251.48/36.45 inference(trivial_inequality_removal,[],[f7580])).
% 251.48/36.45 thf(f7580,plain,(
% 251.48/36.45 ($true = $false) | ((in @ sK11 @ rat) = $false)),
% 251.48/36.45 inference(forward_demodulation,[],[f7579,f2998])).
% 251.48/36.45 thf(f2998,plain,(
% 251.48/36.45 ((in @ sK10 @ rat) = $true)),
% 251.48/36.45 inference(binary_proxy_clausification,[],[f2996])).
% 251.48/36.45 thf(f2996,plain,(
% 251.48/36.45 (((in @ sK10 @ rat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => ((~ (l_some @ frac @ (^[Y1 : $i]: (l_some @ frac @ (^[Y2 : $i]: (~ ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y3 : $i]: ((^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3))))))) @ sK10)) => ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y3 : $i]: ((^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3))))))) @ Y0)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ (^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y1)) @ Y3))))))))))))) => ((~ (l_some @ frac @ (^[Y1 : $i]: (l_some @ frac @ (^[Y2 : $i]: (~ ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y3 : $i]: ((^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3))))))) @ sK10)) => ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y3 : $i]: ((^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3))))))) @ Y0)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ (^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y1)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2)) @ Y3))))))))))))) => (sK10 = Y0))))))) = $false)),
% 251.48/36.45 inference(beta_eta_normalization,[],[f2995])).
% 251.48/36.45 thf(f2995,plain,(
% 251.48/36.45 (((^[Y0 : $i]: ((in @ Y0 @ rat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ rat) => ((~ (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) @ Y4))))))))))))) => ((~ (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) @ Y4))))))))))))) => (Y0 = Y1)))))))) @ sK10) = $false)),
% 251.48/36.45 inference(sigma_clausification,[],[f2994])).
% 251.48/36.45 thf(f2994,plain,(
% 251.48/36.45 ($true != (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ rat) => ((~ (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) @ Y4))))))))))))) => ((~ (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) @ Y4))))))))))))) => (Y0 = Y1))))))))))),
% 251.48/36.45 inference(boolean_simplification,[],[f2993])).
% 251.48/36.45 thf(f2993,plain,(
% 251.48/36.45 ($true != (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ rat) => ((~ (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) @ Y4)))) => $false))))))))) => ((~ (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) @ Y4))))))))))))) => (Y0 = Y1))))))))))),
% 251.48/36.45 inference(boolean_simplification,[],[f2992])).
% 251.48/36.45 thf(f2992,plain,(
% 251.48/36.45 ($true != (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ rat) => ((~ (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => (~ (~ ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) @ Y4)))) => $false))))))))))) => ((~ (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) @ Y4))))))))))))) => (Y0 = Y1))))))))))),
% 251.48/36.45 inference(boolean_simplification,[],[f2991])).
% 251.48/36.45 thf(f2991,plain,(
% 251.48/36.45 ($true != (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ rat) => ((~ (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => (~ (((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) @ Y4)))) => $false)) => $false))))))))) => ((~ (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) @ Y4))))))))))))) => (Y0 = Y1))))))))))),
% 251.48/36.45 inference(boolean_simplification,[],[f2990])).
% 251.48/36.45 thf(f2990,plain,(
% 251.48/36.45 ($true != (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ rat) => ((~ (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) @ Y4)))) => $false)) => $false) => $false)))))))) => ((~ (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) @ Y4))))))))))))) => (Y0 = Y1))))))))))),
% 251.48/36.45 inference(boolean_simplification,[],[f2989])).
% 251.48/36.45 thf(f2989,plain,(
% 251.48/36.45 ($true != (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ rat) => ((~ (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) @ Y4)))) => $false)) => $false) => $false)) => $false)))))) => ((~ (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) @ Y4))))))))))))) => (Y0 = Y1))))))))))),
% 251.48/36.45 inference(boolean_simplification,[],[f2988])).
% 251.48/36.45 thf(f2988,plain,(
% 251.48/36.45 ($true != (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ rat) => (((l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) @ Y4)))) => $false)) => $false) => $false)) => $false))))) => $false) => ((~ (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) @ Y4))))))))))))) => (Y0 = Y1))))))))))),
% 251.48/36.45 inference(boolean_simplification,[],[f2987])).
% 251.48/36.45 thf(f2987,plain,(
% 251.48/36.45 ($true != (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ rat) => (((l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) @ Y4)))) => $false)) => $false) => $false)) => $false))))) => $false) => ((~ (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) @ Y4)))) => $false))))))))) => (Y0 = Y1))))))))))),
% 251.48/36.45 inference(boolean_simplification,[],[f2986])).
% 251.48/36.45 thf(f2986,plain,(
% 251.48/36.45 ($true != (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ rat) => (((l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) @ Y4)))) => $false)) => $false) => $false)) => $false))))) => $false) => ((~ (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => (~ (~ ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) @ Y4)))) => $false))))))))))) => (Y0 = Y1))))))))))),
% 251.48/36.45 inference(boolean_simplification,[],[f2985])).
% 251.48/36.45 thf(f2985,plain,(
% 251.48/36.45 ($true != (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ rat) => (((l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) @ Y4)))) => $false)) => $false) => $false)) => $false))))) => $false) => ((~ (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => (~ (((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) @ Y4)))) => $false)) => $false))))))))) => (Y0 = Y1))))))))))),
% 251.48/36.45 inference(boolean_simplification,[],[f2984])).
% 251.48/36.45 thf(f2984,plain,(
% 251.48/36.45 ($true != (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ rat) => (((l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) @ Y4)))) => $false)) => $false) => $false)) => $false))))) => $false) => ((~ (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) @ Y4)))) => $false)) => $false) => $false)))))))) => (Y0 = Y1))))))))))),
% 251.48/36.45 inference(boolean_simplification,[],[f2983])).
% 251.48/36.45 thf(f2983,plain,(
% 251.48/36.45 ($true != (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ rat) => (((l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) @ Y4)))) => $false)) => $false) => $false)) => $false))))) => $false) => ((~ (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) @ Y4)))) => $false)) => $false) => $false)) => $false)))))) => (Y0 = Y1))))))))))),
% 251.48/36.45 inference(boolean_simplification,[],[f2982])).
% 251.48/36.45 thf(f2982,plain,(
% 251.48/36.45 ($true != (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ rat) => (((l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) @ Y4)))) => $false)) => $false) => $false)) => $false))))) => $false) => (((l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) @ Y4)))) => $false)) => $false) => $false)) => $false))))) => $false) => (Y0 = Y1))))))))))),
% 251.48/36.45 inference(beta_eta_normalization,[],[f1807])).
% 251.48/36.45 thf(f1807,plain,(
% 251.48/36.45 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ rat)) @ (^[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 @ rat)) @ (^[Y1 : $i]: (((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ Y2 @ $false)) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (l_some @ frac @ (^[Y4 : $i]: (l_some @ frac @ (^[Y5 : $i]: ((^[Y6 : $o]: ((^[Y7 : $o]: ((^[Y8 : $o]: ((^[Y9 : $o]: ((^[Y10 : $o]: ((^[Y11 : $o]: ((^[Y12 : $o]: ((^[Y13 : $o]: (Y12 => Y13)))) @ Y11 @ $false)) @ ((^[Y11 : $o]: ((^[Y12 : $o]: ((^[Y13 : $o]: ((^[Y14 : $o]: (Y13 => Y14)))) @ Y11 @ ((^[Y13 : $o]: ((^[Y14 : $o]: ((^[Y15 : $o]: (Y14 => Y15)))) @ Y13 @ $false)) @ Y12))))) @ Y9 @ Y10))))) @ Y6 @ ((^[Y9 : $o]: ((^[Y10 : $o]: ((^[Y11 : $o]: ((^[Y12 : $o]: ((^[Y13 : $o]: (Y12 => Y13)))) @ Y11 @ $false)) @ ((^[Y11 : $o]: ((^[Y12 : $o]: ((^[Y13 : $o]: ((^[Y14 : $o]: (Y13 => Y14)))) @ Y11 @ ((^[Y13 : $o]: ((^[Y14 : $o]: ((^[Y15 : $o]: (Y14 => Y15)))) @ Y13 @ $false)) @ Y12))))) @ Y9 @ Y10))))) @ Y7 @ Y8))))))) @ ((^[Y6 : $i]: (in)) @ frac @ Y4 @ ((^[Y6 : $i]: ((^[Y7 : $i > $i > $o]: (e_in @ (power @ Y6) @ (anec @ Y6 @ Y7))))) @ frac @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9 = Y10)))))) @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ (n_ts @ (first1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y6) @ (second1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y7)) @ (n_ts @ (first1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y7) @ (second1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y6)))))) @ Y2)) @ ((^[Y6 : $i]: (in)) @ frac @ Y5 @ ((^[Y6 : $i]: ((^[Y7 : $i > $i > $o]: (e_in @ (power @ Y6) @ (anec @ Y6 @ Y7))))) @ frac @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9 = Y10)))))) @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ (n_ts @ (first1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y6) @ (second1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y7)) @ (n_ts @ (first1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y7) @ (second1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y6)))))) @ Y3)) @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (l_some @ ((^[Y10 : $i]: ((^[Y11 : $i > $o]: (if @ (?? @ $i @ (^[Y12 : $i]: ((Y11 @ Y12) & (in @ Y12 @ Y10)))) @ (repl @ Y10 @ (^[Y12 : $i]: (if @ (Y11 @ Y12) @ Y12 @ (eps @ (^[Y13 : $i]: ((in @ Y13 @ Y10) & (Y11 @ Y13))))))) @ emptyset)))) @ omega @ (^[Y10 : $i]: (~ (emptyset = Y10)))) @ ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: (Y14 = Y15)))))) @ ((^[Y13 : $i]: ((^[Y14 : $i > $o]: (if @ (?? @ $i @ (^[Y15 : $i]: ((Y14 @ Y15) & (in @ Y15 @ Y13)))) @ (repl @ Y13 @ (^[Y15 : $i]: (if @ (Y14 @ Y15) @ Y15 @ (eps @ (^[Y16 : $i]: ((in @ Y16 @ Y13) & (Y14 @ Y16))))))) @ emptyset)))) @ omega @ (^[Y13 : $i]: (~ (emptyset = Y13)))) @ Y10 @ (n_pl @ Y11 @ Y12))))))) @ Y8 @ Y9))))) @ (n_ts @ (first1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y6) @ (second1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y7)) @ (n_ts @ (first1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y7) @ (second1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y6)))))) @ Y4 @ Y5))))))))) @ Y0 @ Y1)) => ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: (Y6 => Y7)))) @ Y5 @ $false)) @ Y4))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (l_some @ frac @ (^[Y6 : $i]: (l_some @ frac @ (^[Y7 : $i]: ((^[Y8 : $o]: ((^[Y9 : $o]: ((^[Y10 : $o]: ((^[Y11 : $o]: ((^[Y12 : $o]: ((^[Y13 : $o]: ((^[Y14 : $o]: ((^[Y15 : $o]: (Y14 => Y15)))) @ Y13 @ $false)) @ ((^[Y13 : $o]: ((^[Y14 : $o]: ((^[Y15 : $o]: ((^[Y16 : $o]: (Y15 => Y16)))) @ Y13 @ ((^[Y15 : $o]: ((^[Y16 : $o]: ((^[Y17 : $o]: (Y16 => Y17)))) @ Y15 @ $false)) @ Y14))))) @ Y11 @ Y12))))) @ Y8 @ ((^[Y11 : $o]: ((^[Y12 : $o]: ((^[Y13 : $o]: ((^[Y14 : $o]: ((^[Y15 : $o]: (Y14 => Y15)))) @ Y13 @ $false)) @ ((^[Y13 : $o]: ((^[Y14 : $o]: ((^[Y15 : $o]: ((^[Y16 : $o]: (Y15 => Y16)))) @ Y13 @ ((^[Y15 : $o]: ((^[Y16 : $o]: ((^[Y17 : $o]: (Y16 => Y17)))) @ Y15 @ $false)) @ Y14))))) @ Y11 @ Y12))))) @ Y9 @ Y10))))))) @ ((^[Y8 : $i]: (in)) @ frac @ Y6 @ ((^[Y8 : $i]: ((^[Y9 : $i > $i > $o]: (e_in @ (power @ Y8) @ (anec @ Y8 @ Y9))))) @ frac @ (^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: (Y11 = Y12)))))) @ ((^[Y10 : $i]: ((^[Y11 : $i > $o]: (if @ (?? @ $i @ (^[Y12 : $i]: ((Y11 @ Y12) & (in @ Y12 @ Y10)))) @ (repl @ Y10 @ (^[Y12 : $i]: (if @ (Y11 @ Y12) @ Y12 @ (eps @ (^[Y13 : $i]: ((in @ Y13 @ Y10) & (Y11 @ Y13))))))) @ emptyset)))) @ omega @ (^[Y10 : $i]: (~ (emptyset = Y10)))) @ (n_ts @ (first1 @ ((^[Y10 : $i]: ((^[Y11 : $i > $o]: (if @ (?? @ $i @ (^[Y12 : $i]: ((Y11 @ Y12) & (in @ Y12 @ Y10)))) @ (repl @ Y10 @ (^[Y12 : $i]: (if @ (Y11 @ Y12) @ Y12 @ (eps @ (^[Y13 : $i]: ((in @ Y13 @ Y10) & (Y11 @ Y13))))))) @ emptyset)))) @ omega @ (^[Y10 : $i]: (~ (emptyset = Y10)))) @ Y8) @ (second1 @ ((^[Y10 : $i]: ((^[Y11 : $i > $o]: (if @ (?? @ $i @ (^[Y12 : $i]: ((Y11 @ Y12) & (in @ Y12 @ Y10)))) @ (repl @ Y10 @ (^[Y12 : $i]: (if @ (Y11 @ Y12) @ Y12 @ (eps @ (^[Y13 : $i]: ((in @ Y13 @ Y10) & (Y11 @ Y13))))))) @ emptyset)))) @ omega @ (^[Y10 : $i]: (~ (emptyset = Y10)))) @ Y9)) @ (n_ts @ (first1 @ ((^[Y10 : $i]: ((^[Y11 : $i > $o]: (if @ (?? @ $i @ (^[Y12 : $i]: ((Y11 @ Y12) & (in @ Y12 @ Y10)))) @ (repl @ Y10 @ (^[Y12 : $i]: (if @ (Y11 @ Y12) @ Y12 @ (eps @ (^[Y13 : $i]: ((in @ Y13 @ Y10) & (Y11 @ Y13))))))) @ emptyset)))) @ omega @ (^[Y10 : $i]: (~ (emptyset = Y10)))) @ Y9) @ (second1 @ ((^[Y10 : $i]: ((^[Y11 : $i > $o]: (if @ (?? @ $i @ (^[Y12 : $i]: ((Y11 @ Y12) & (in @ Y12 @ Y10)))) @ (repl @ Y10 @ (^[Y12 : $i]: (if @ (Y11 @ Y12) @ Y12 @ (eps @ (^[Y13 : $i]: ((in @ Y13 @ Y10) & (Y11 @ Y13))))))) @ emptyset)))) @ omega @ (^[Y10 : $i]: (~ (emptyset = Y10)))) @ Y8)))))) @ Y4)) @ ((^[Y8 : $i]: (in)) @ frac @ Y7 @ ((^[Y8 : $i]: ((^[Y9 : $i > $i > $o]: (e_in @ (power @ Y8) @ (anec @ Y8 @ Y9))))) @ frac @ (^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: (Y11 = Y12)))))) @ ((^[Y10 : $i]: ((^[Y11 : $i > $o]: (if @ (?? @ $i @ (^[Y12 : $i]: ((Y11 @ Y12) & (in @ Y12 @ Y10)))) @ (repl @ Y10 @ (^[Y12 : $i]: (if @ (Y11 @ Y12) @ Y12 @ (eps @ (^[Y13 : $i]: ((in @ Y13 @ Y10) & (Y11 @ Y13))))))) @ emptyset)))) @ omega @ (^[Y10 : $i]: (~ (emptyset = Y10)))) @ (n_ts @ (first1 @ ((^[Y10 : $i]: ((^[Y11 : $i > $o]: (if @ (?? @ $i @ (^[Y12 : $i]: ((Y11 @ Y12) & (in @ Y12 @ Y10)))) @ (repl @ Y10 @ (^[Y12 : $i]: (if @ (Y11 @ Y12) @ Y12 @ (eps @ (^[Y13 : $i]: ((in @ Y13 @ Y10) & (Y11 @ Y13))))))) @ emptyset)))) @ omega @ (^[Y10 : $i]: (~ (emptyset = Y10)))) @ Y8) @ (second1 @ ((^[Y10 : $i]: ((^[Y11 : $i > $o]: (if @ (?? @ $i @ (^[Y12 : $i]: ((Y11 @ Y12) & (in @ Y12 @ Y10)))) @ (repl @ Y10 @ (^[Y12 : $i]: (if @ (Y11 @ Y12) @ Y12 @ (eps @ (^[Y13 : $i]: ((in @ Y13 @ Y10) & (Y11 @ Y13))))))) @ emptyset)))) @ omega @ (^[Y10 : $i]: (~ (emptyset = Y10)))) @ Y9)) @ (n_ts @ (first1 @ ((^[Y10 : $i]: ((^[Y11 : $i > $o]: (if @ (?? @ $i @ (^[Y12 : $i]: ((Y11 @ Y12) & (in @ Y12 @ Y10)))) @ (repl @ Y10 @ (^[Y12 : $i]: (if @ (Y11 @ Y12) @ Y12 @ (eps @ (^[Y13 : $i]: ((in @ Y13 @ Y10) & (Y11 @ Y13))))))) @ emptyset)))) @ omega @ (^[Y10 : $i]: (~ (emptyset = Y10)))) @ Y9) @ (second1 @ ((^[Y10 : $i]: ((^[Y11 : $i > $o]: (if @ (?? @ $i @ (^[Y12 : $i]: ((Y11 @ Y12) & (in @ Y12 @ Y10)))) @ (repl @ Y10 @ (^[Y12 : $i]: (if @ (Y11 @ Y12) @ Y12 @ (eps @ (^[Y13 : $i]: ((in @ Y13 @ Y10) & (Y11 @ Y13))))))) @ emptyset)))) @ omega @ (^[Y10 : $i]: (~ (emptyset = Y10)))) @ Y8)))))) @ Y5)) @ ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (l_some @ ((^[Y12 : $i]: ((^[Y13 : $i > $o]: (if @ (?? @ $i @ (^[Y14 : $i]: ((Y13 @ Y14) & (in @ Y14 @ Y12)))) @ (repl @ Y12 @ (^[Y14 : $i]: (if @ (Y13 @ Y14) @ Y14 @ (eps @ (^[Y15 : $i]: ((in @ Y15 @ Y12) & (Y13 @ Y15))))))) @ emptyset)))) @ omega @ (^[Y12 : $i]: (~ (emptyset = Y12)))) @ ((^[Y12 : $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: ((^[Y16 : $i]: ((^[Y17 : $i]: (Y16 = Y17)))))) @ ((^[Y15 : $i]: ((^[Y16 : $i > $o]: (if @ (?? @ $i @ (^[Y17 : $i]: ((Y16 @ Y17) & (in @ Y17 @ Y15)))) @ (repl @ Y15 @ (^[Y17 : $i]: (if @ (Y16 @ Y17) @ Y17 @ (eps @ (^[Y18 : $i]: ((in @ Y18 @ Y15) & (Y16 @ Y18))))))) @ emptyset)))) @ omega @ (^[Y15 : $i]: (~ (emptyset = Y15)))) @ Y12 @ (n_pl @ Y13 @ Y14))))))) @ Y11 @ Y10))))) @ (n_ts @ (first1 @ ((^[Y10 : $i]: ((^[Y11 : $i > $o]: (if @ (?? @ $i @ (^[Y12 : $i]: ((Y11 @ Y12) & (in @ Y12 @ Y10)))) @ (repl @ Y10 @ (^[Y12 : $i]: (if @ (Y11 @ Y12) @ Y12 @ (eps @ (^[Y13 : $i]: ((in @ Y13 @ Y10) & (Y11 @ Y13))))))) @ emptyset)))) @ omega @ (^[Y10 : $i]: (~ (emptyset = Y10)))) @ Y8) @ (second1 @ ((^[Y10 : $i]: ((^[Y11 : $i > $o]: (if @ (?? @ $i @ (^[Y12 : $i]: ((Y11 @ Y12) & (in @ Y12 @ Y10)))) @ (repl @ Y10 @ (^[Y12 : $i]: (if @ (Y11 @ Y12) @ Y12 @ (eps @ (^[Y13 : $i]: ((in @ Y13 @ Y10) & (Y11 @ Y13))))))) @ emptyset)))) @ omega @ (^[Y10 : $i]: (~ (emptyset = Y10)))) @ Y9)) @ (n_ts @ (first1 @ ((^[Y10 : $i]: ((^[Y11 : $i > $o]: (if @ (?? @ $i @ (^[Y12 : $i]: ((Y11 @ Y12) & (in @ Y12 @ Y10)))) @ (repl @ Y10 @ (^[Y12 : $i]: (if @ (Y11 @ Y12) @ Y12 @ (eps @ (^[Y13 : $i]: ((in @ Y13 @ Y10) & (Y11 @ Y13))))))) @ emptyset)))) @ omega @ (^[Y10 : $i]: (~ (emptyset = Y10)))) @ Y9) @ (second1 @ ((^[Y10 : $i]: ((^[Y11 : $i > $o]: (if @ (?? @ $i @ (^[Y12 : $i]: ((Y11 @ Y12) & (in @ Y12 @ Y10)))) @ (repl @ Y10 @ (^[Y12 : $i]: (if @ (Y11 @ Y12) @ Y12 @ (eps @ (^[Y13 : $i]: ((in @ Y13 @ Y10) & (Y11 @ Y13))))))) @ emptyset)))) @ omega @ (^[Y10 : $i]: (~ (emptyset = Y10)))) @ Y8)))))) @ Y6 @ Y7))))))))) @ Y2 @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ rat @ Y2 @ Y3))))) @ Y0 @ Y1)))))) != $true)),
% 251.48/36.45 inference(definition_unfolding,[],[f1439,f1666,f1666,f1667,f1700,f1705])).
% 251.48/36.45 thf(f1705,plain,(
% 251.48/36.45 (rt_lessis = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ ((^[Y3 : $o]: ((^[Y4 : $o]: ((^[Y5 : $o]: (Y4 => Y5)))) @ Y3 @ $false)) @ Y2))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (l_some @ frac @ (^[Y4 : $i]: (l_some @ frac @ (^[Y5 : $i]: ((^[Y6 : $o]: ((^[Y7 : $o]: ((^[Y8 : $o]: ((^[Y9 : $o]: ((^[Y10 : $o]: ((^[Y11 : $o]: ((^[Y12 : $o]: ((^[Y13 : $o]: (Y12 => Y13)))) @ Y11 @ $false)) @ ((^[Y11 : $o]: ((^[Y12 : $o]: ((^[Y13 : $o]: ((^[Y14 : $o]: (Y13 => Y14)))) @ Y11 @ ((^[Y13 : $o]: ((^[Y14 : $o]: ((^[Y15 : $o]: (Y14 => Y15)))) @ Y13 @ $false)) @ Y12))))) @ Y9 @ Y10))))) @ Y6 @ ((^[Y9 : $o]: ((^[Y10 : $o]: ((^[Y11 : $o]: ((^[Y12 : $o]: ((^[Y13 : $o]: (Y12 => Y13)))) @ Y11 @ $false)) @ ((^[Y11 : $o]: ((^[Y12 : $o]: ((^[Y13 : $o]: ((^[Y14 : $o]: (Y13 => Y14)))) @ Y11 @ ((^[Y13 : $o]: ((^[Y14 : $o]: ((^[Y15 : $o]: (Y14 => Y15)))) @ Y13 @ $false)) @ Y12))))) @ Y9 @ Y10))))) @ Y7 @ Y8))))))) @ ((^[Y6 : $i]: (in)) @ frac @ Y4 @ ((^[Y6 : $i]: ((^[Y7 : $i > $i > $o]: (e_in @ (power @ Y6) @ (anec @ Y6 @ Y7))))) @ frac @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9 = Y10)))))) @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ (n_ts @ (first1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y6) @ (second1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y7)) @ (n_ts @ (first1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y7) @ (second1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y6)))))) @ Y2)) @ ((^[Y6 : $i]: (in)) @ frac @ Y5 @ ((^[Y6 : $i]: ((^[Y7 : $i > $i > $o]: (e_in @ (power @ Y6) @ (anec @ Y6 @ Y7))))) @ frac @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9 = Y10)))))) @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ (n_ts @ (first1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y6) @ (second1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y7)) @ (n_ts @ (first1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y7) @ (second1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y6)))))) @ Y3)) @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (l_some @ ((^[Y10 : $i]: ((^[Y11 : $i > $o]: (if @ (?? @ $i @ (^[Y12 : $i]: ((Y11 @ Y12) & (in @ Y12 @ Y10)))) @ (repl @ Y10 @ (^[Y12 : $i]: (if @ (Y11 @ Y12) @ Y12 @ (eps @ (^[Y13 : $i]: ((in @ Y13 @ Y10) & (Y11 @ Y13))))))) @ emptyset)))) @ omega @ (^[Y10 : $i]: (~ (emptyset = Y10)))) @ ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: (Y14 = Y15)))))) @ ((^[Y13 : $i]: ((^[Y14 : $i > $o]: (if @ (?? @ $i @ (^[Y15 : $i]: ((Y14 @ Y15) & (in @ Y15 @ Y13)))) @ (repl @ Y13 @ (^[Y15 : $i]: (if @ (Y14 @ Y15) @ Y15 @ (eps @ (^[Y16 : $i]: ((in @ Y16 @ Y13) & (Y14 @ Y16))))))) @ emptyset)))) @ omega @ (^[Y13 : $i]: (~ (emptyset = Y13)))) @ Y10 @ (n_pl @ Y11 @ Y12))))))) @ Y9 @ Y8))))) @ (n_ts @ (first1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y6) @ (second1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y7)) @ (n_ts @ (first1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y7) @ (second1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y6)))))) @ Y4 @ Y5))))))))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3 = Y4)))))) @ rat @ Y0 @ Y1))))))),
% 251.48/36.45 inference(definition_unfolding,[],[f1346,f1668,f1702,f1692])).
% 251.48/36.45 thf(f1692,plain,(
% 251.48/36.45 (rt_is = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))) @ rat))),
% 251.48/36.45 inference(definition_unfolding,[],[f1656,f1339])).
% 251.48/36.45 thf(f1339,plain,(
% 251.48/36.45 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
% 251.48/36.45 inference(cnf_transformation,[],[f500])).
% 251.48/36.45 thf(f500,plain,(
% 251.48/36.45 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
% 251.48/36.45 inference(fool_elimination,[],[f499])).
% 251.48/36.45 thf(f499,plain,(
% 251.48/36.45 (e_is = (^[X0 : $i, X1 : $i, X2 : $i] : ((X1 = X2))))),
% 251.48/36.45 inference(rectify,[],[f91])).
% 251.48/36.45 thf(f91,axiom,(
% 251.48/36.45 (e_is = (^[X0 : $i, X7 : $i, X8 : $i] : ((X7 = X8))))),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_e_is)).
% 251.48/36.45 thf(f1656,plain,(
% 251.48/36.45 (rt_is = (e_is @ rat))),
% 251.48/36.45 inference(cnf_transformation,[],[f470])).
% 251.48/36.45 thf(f470,axiom,(
% 251.48/36.45 (rt_is = (e_is @ rat))),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_rt_is)).
% 251.48/36.45 thf(f1702,plain,(
% 251.48/36.45 (rt_less = (^[Y0 : $i]: ((^[Y1 : $i]: (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: ((^[Y8 : $o]: ((^[Y9 : $o]: ((^[Y10 : $o]: ((^[Y11 : $o]: (Y10 => Y11)))) @ Y9 @ $false)) @ ((^[Y9 : $o]: ((^[Y10 : $o]: ((^[Y11 : $o]: ((^[Y12 : $o]: (Y11 => Y12)))) @ Y9 @ ((^[Y11 : $o]: ((^[Y12 : $o]: ((^[Y13 : $o]: (Y12 => Y13)))) @ Y11 @ $false)) @ Y10))))) @ Y7 @ Y8))))) @ Y4 @ ((^[Y7 : $o]: ((^[Y8 : $o]: ((^[Y9 : $o]: ((^[Y10 : $o]: ((^[Y11 : $o]: (Y10 => Y11)))) @ Y9 @ $false)) @ ((^[Y9 : $o]: ((^[Y10 : $o]: ((^[Y11 : $o]: ((^[Y12 : $o]: (Y11 => Y12)))) @ Y9 @ ((^[Y11 : $o]: ((^[Y12 : $o]: ((^[Y13 : $o]: (Y12 => Y13)))) @ Y11 @ $false)) @ Y10))))) @ Y7 @ Y8))))) @ Y5 @ Y6))))))) @ ((^[Y4 : $i]: (in)) @ frac @ Y2 @ ((^[Y4 : $i]: ((^[Y5 : $i > $i > $o]: (e_in @ (power @ Y4) @ (anec @ Y4 @ Y5))))) @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7 = Y8)))))) @ ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (if @ (?? @ $i @ (^[Y8 : $i]: ((Y7 @ Y8) & (in @ Y8 @ Y6)))) @ (repl @ Y6 @ (^[Y8 : $i]: (if @ (Y7 @ Y8) @ Y8 @ (eps @ (^[Y9 : $i]: ((in @ Y9 @ Y6) & (Y7 @ Y9))))))) @ emptyset)))) @ omega @ (^[Y6 : $i]: (~ (emptyset = Y6)))) @ (n_ts @ (first1 @ ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (if @ (?? @ $i @ (^[Y8 : $i]: ((Y7 @ Y8) & (in @ Y8 @ Y6)))) @ (repl @ Y6 @ (^[Y8 : $i]: (if @ (Y7 @ Y8) @ Y8 @ (eps @ (^[Y9 : $i]: ((in @ Y9 @ Y6) & (Y7 @ Y9))))))) @ emptyset)))) @ omega @ (^[Y6 : $i]: (~ (emptyset = Y6)))) @ Y4) @ (second1 @ ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (if @ (?? @ $i @ (^[Y8 : $i]: ((Y7 @ Y8) & (in @ Y8 @ Y6)))) @ (repl @ Y6 @ (^[Y8 : $i]: (if @ (Y7 @ Y8) @ Y8 @ (eps @ (^[Y9 : $i]: ((in @ Y9 @ Y6) & (Y7 @ Y9))))))) @ emptyset)))) @ omega @ (^[Y6 : $i]: (~ (emptyset = Y6)))) @ Y5)) @ (n_ts @ (first1 @ ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (if @ (?? @ $i @ (^[Y8 : $i]: ((Y7 @ Y8) & (in @ Y8 @ Y6)))) @ (repl @ Y6 @ (^[Y8 : $i]: (if @ (Y7 @ Y8) @ Y8 @ (eps @ (^[Y9 : $i]: ((in @ Y9 @ Y6) & (Y7 @ Y9))))))) @ emptyset)))) @ omega @ (^[Y6 : $i]: (~ (emptyset = Y6)))) @ Y5) @ (second1 @ ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (if @ (?? @ $i @ (^[Y8 : $i]: ((Y7 @ Y8) & (in @ Y8 @ Y6)))) @ (repl @ Y6 @ (^[Y8 : $i]: (if @ (Y7 @ Y8) @ Y8 @ (eps @ (^[Y9 : $i]: ((in @ Y9 @ Y6) & (Y7 @ Y9))))))) @ emptyset)))) @ omega @ (^[Y6 : $i]: (~ (emptyset = Y6)))) @ Y4)))))) @ Y0)) @ ((^[Y4 : $i]: (in)) @ frac @ Y3 @ ((^[Y4 : $i]: ((^[Y5 : $i > $i > $o]: (e_in @ (power @ Y4) @ (anec @ Y4 @ Y5))))) @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7 = Y8)))))) @ ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (if @ (?? @ $i @ (^[Y8 : $i]: ((Y7 @ Y8) & (in @ Y8 @ Y6)))) @ (repl @ Y6 @ (^[Y8 : $i]: (if @ (Y7 @ Y8) @ Y8 @ (eps @ (^[Y9 : $i]: ((in @ Y9 @ Y6) & (Y7 @ Y9))))))) @ emptyset)))) @ omega @ (^[Y6 : $i]: (~ (emptyset = Y6)))) @ (n_ts @ (first1 @ ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (if @ (?? @ $i @ (^[Y8 : $i]: ((Y7 @ Y8) & (in @ Y8 @ Y6)))) @ (repl @ Y6 @ (^[Y8 : $i]: (if @ (Y7 @ Y8) @ Y8 @ (eps @ (^[Y9 : $i]: ((in @ Y9 @ Y6) & (Y7 @ Y9))))))) @ emptyset)))) @ omega @ (^[Y6 : $i]: (~ (emptyset = Y6)))) @ Y4) @ (second1 @ ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (if @ (?? @ $i @ (^[Y8 : $i]: ((Y7 @ Y8) & (in @ Y8 @ Y6)))) @ (repl @ Y6 @ (^[Y8 : $i]: (if @ (Y7 @ Y8) @ Y8 @ (eps @ (^[Y9 : $i]: ((in @ Y9 @ Y6) & (Y7 @ Y9))))))) @ emptyset)))) @ omega @ (^[Y6 : $i]: (~ (emptyset = Y6)))) @ Y5)) @ (n_ts @ (first1 @ ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (if @ (?? @ $i @ (^[Y8 : $i]: ((Y7 @ Y8) & (in @ Y8 @ Y6)))) @ (repl @ Y6 @ (^[Y8 : $i]: (if @ (Y7 @ Y8) @ Y8 @ (eps @ (^[Y9 : $i]: ((in @ Y9 @ Y6) & (Y7 @ Y9))))))) @ emptyset)))) @ omega @ (^[Y6 : $i]: (~ (emptyset = Y6)))) @ Y5) @ (second1 @ ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (if @ (?? @ $i @ (^[Y8 : $i]: ((Y7 @ Y8) & (in @ Y8 @ Y6)))) @ (repl @ Y6 @ (^[Y8 : $i]: (if @ (Y7 @ Y8) @ Y8 @ (eps @ (^[Y9 : $i]: ((in @ Y9 @ Y6) & (Y7 @ Y9))))))) @ emptyset)))) @ omega @ (^[Y6 : $i]: (~ (emptyset = Y6)))) @ Y4)))))) @ Y1)) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (l_some @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: ((^[Y13 : $i]: (Y12 = Y13)))))) @ ((^[Y11 : $i]: ((^[Y12 : $i > $o]: (if @ (?? @ $i @ (^[Y13 : $i]: ((Y12 @ Y13) & (in @ Y13 @ Y11)))) @ (repl @ Y11 @ (^[Y13 : $i]: (if @ (Y12 @ Y13) @ Y13 @ (eps @ (^[Y14 : $i]: ((in @ Y14 @ Y11) & (Y12 @ Y14))))))) @ emptyset)))) @ omega @ (^[Y11 : $i]: (~ (emptyset = Y11)))) @ Y8 @ (n_pl @ Y9 @ Y10))))))) @ Y7 @ Y6))))) @ (n_ts @ (first1 @ ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (if @ (?? @ $i @ (^[Y8 : $i]: ((Y7 @ Y8) & (in @ Y8 @ Y6)))) @ (repl @ Y6 @ (^[Y8 : $i]: (if @ (Y7 @ Y8) @ Y8 @ (eps @ (^[Y9 : $i]: ((in @ Y9 @ Y6) & (Y7 @ Y9))))))) @ emptyset)))) @ omega @ (^[Y6 : $i]: (~ (emptyset = Y6)))) @ Y4) @ (second1 @ ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (if @ (?? @ $i @ (^[Y8 : $i]: ((Y7 @ Y8) & (in @ Y8 @ Y6)))) @ (repl @ Y6 @ (^[Y8 : $i]: (if @ (Y7 @ Y8) @ Y8 @ (eps @ (^[Y9 : $i]: ((in @ Y9 @ Y6) & (Y7 @ Y9))))))) @ emptyset)))) @ omega @ (^[Y6 : $i]: (~ (emptyset = Y6)))) @ Y5)) @ (n_ts @ (first1 @ ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (if @ (?? @ $i @ (^[Y8 : $i]: ((Y7 @ Y8) & (in @ Y8 @ Y6)))) @ (repl @ Y6 @ (^[Y8 : $i]: (if @ (Y7 @ Y8) @ Y8 @ (eps @ (^[Y9 : $i]: ((in @ Y9 @ Y6) & (Y7 @ Y9))))))) @ emptyset)))) @ omega @ (^[Y6 : $i]: (~ (emptyset = Y6)))) @ Y5) @ (second1 @ ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (if @ (?? @ $i @ (^[Y8 : $i]: ((Y7 @ Y8) & (in @ Y8 @ Y6)))) @ (repl @ Y6 @ (^[Y8 : $i]: (if @ (Y7 @ Y8) @ Y8 @ (eps @ (^[Y9 : $i]: ((in @ Y9 @ Y6) & (Y7 @ Y9))))))) @ emptyset)))) @ omega @ (^[Y6 : $i]: (~ (emptyset = Y6)))) @ Y4)))))) @ Y2 @ Y3))))))))))),
% 251.48/36.45 inference(definition_unfolding,[],[f1637,f1689,f1698,f1699,f1698,f1699,f1682])).
% 251.48/36.45 thf(f1682,plain,(
% 251.48/36.45 (lessf = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (l_some @ ((^[Y4 : $i]: ((^[Y5 : $i > $o]: (if @ (?? @ $i @ (^[Y6 : $i]: ((Y5 @ Y6) & (in @ Y6 @ Y4)))) @ (repl @ Y4 @ (^[Y6 : $i]: (if @ (Y5 @ Y6) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ Y4) & (Y5 @ Y7))))))) @ emptyset)))) @ omega @ (^[Y4 : $i]: (~ (emptyset = Y4)))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ ((^[Y7 : $i]: ((^[Y8 : $i > $o]: (if @ (?? @ $i @ (^[Y9 : $i]: ((Y8 @ Y9) & (in @ Y9 @ Y7)))) @ (repl @ Y7 @ (^[Y9 : $i]: (if @ (Y8 @ Y9) @ Y9 @ (eps @ (^[Y10 : $i]: ((in @ Y10 @ Y7) & (Y8 @ Y10))))))) @ emptyset)))) @ omega @ (^[Y7 : $i]: (~ (emptyset = Y7)))) @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y3 @ Y2))))) @ (n_ts @ (first1 @ ((^[Y2 : $i]: ((^[Y3 : $i > $o]: (if @ (?? @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) & (in @ Y4 @ Y2)))) @ (repl @ Y2 @ (^[Y4 : $i]: (if @ (Y3 @ Y4) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ Y2) & (Y3 @ Y5))))))) @ emptyset)))) @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ Y0) @ (second1 @ ((^[Y2 : $i]: ((^[Y3 : $i > $o]: (if @ (?? @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) & (in @ Y4 @ Y2)))) @ (repl @ Y2 @ (^[Y4 : $i]: (if @ (Y3 @ Y4) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ Y2) & (Y3 @ Y5))))))) @ emptyset)))) @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ Y1)) @ (n_ts @ (first1 @ ((^[Y2 : $i]: ((^[Y3 : $i > $o]: (if @ (?? @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) & (in @ Y4 @ Y2)))) @ (repl @ Y2 @ (^[Y4 : $i]: (if @ (Y3 @ Y4) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ Y2) & (Y3 @ Y5))))))) @ emptyset)))) @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ Y1) @ (second1 @ ((^[Y2 : $i]: ((^[Y3 : $i > $o]: (if @ (?? @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) & (in @ Y4 @ Y2)))) @ (repl @ Y2 @ (^[Y4 : $i]: (if @ (Y3 @ Y4) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ Y2) & (Y3 @ Y5))))))) @ emptyset)))) @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ Y0)))))))),
% 251.48/36.45 inference(definition_unfolding,[],[f1557,f1665,f1671,f1672,f1671,f1672])).
% 251.48/36.45 thf(f1672,plain,(
% 251.48/36.45 (den = (second1 @ ((^[Y0 : $i]: ((^[Y1 : $i > $o]: (if @ (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (in @ Y2 @ Y0)))) @ (repl @ Y0 @ (^[Y2 : $i]: (if @ (Y1 @ Y2) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ Y0) & (Y1 @ Y3))))))) @ emptyset)))) @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0))))))),
% 251.48/36.45 inference(definition_unfolding,[],[f1486,f1660])).
% 251.48/36.45 thf(f1660,plain,(
% 251.48/36.45 (nat = ((^[Y0 : $i]: ((^[Y1 : $i > $o]: (if @ (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (in @ Y2 @ Y0)))) @ (repl @ Y0 @ (^[Y2 : $i]: (if @ (Y1 @ Y2) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ Y0) & (Y1 @ Y3))))))) @ emptyset)))) @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))))),
% 251.48/36.45 inference(definition_unfolding,[],[f1549,f1332])).
% 251.48/36.45 thf(f1332,plain,(
% 251.48/36.45 (d_Sep = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (if @ (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (in @ Y2 @ Y0)))) @ (repl @ Y0 @ (^[Y2 : $i]: (if @ (Y1 @ Y2) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ Y0) & (Y1 @ Y3))))))) @ emptyset)))))),
% 251.48/36.45 inference(cnf_transformation,[],[f665])).
% 251.48/36.45 thf(f665,plain,(
% 251.48/36.45 (d_Sep = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (if @ (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (in @ Y2 @ Y0)))) @ (repl @ Y0 @ (^[Y2 : $i]: (if @ (Y1 @ Y2) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ Y0) & (Y1 @ Y3))))))) @ emptyset)))))),
% 251.48/36.45 inference(fool_elimination,[],[f664])).
% 251.48/36.45 thf(f664,plain,(
% 251.48/36.45 (d_Sep = (^[X0 : $i, X1 : $i > $o] : (if @ ? [X2] : ((in @ X2 @ X0) & (X1 @ X2)) @ (repl @ X0 @ (^[X3 : $i] : (if @ (X1 @ X3) @ X3 @ (eps @ (^[X4 : $i] : ((X1 @ X4) & (in @ X4 @ X0))))))) @ emptyset)))),
% 251.48/36.45 inference(rectify,[],[f29])).
% 251.48/36.45 thf(f29,axiom,(
% 251.48/36.45 (d_Sep = (^[X0 : $i, X1 : $i > $o] : (if @ ? [X2] : ((in @ X2 @ X0) & (X1 @ X2)) @ (repl @ X0 @ (^[X2 : $i] : (if @ (X1 @ X2) @ X2 @ (eps @ (^[X3 : $i] : ((X1 @ X3) & (in @ X3 @ X0))))))) @ emptyset)))),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_d_Sep)).
% 251.48/36.45 thf(f1549,plain,(
% 251.48/36.45 (nat = (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))))),
% 251.48/36.45 inference(cnf_transformation,[],[f1034])).
% 251.48/36.45 thf(f1034,plain,(
% 251.48/36.45 (nat = (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))))),
% 251.48/36.45 inference(fool_elimination,[],[f156])).
% 251.48/36.45 thf(f156,axiom,(
% 251.48/36.45 (nat = (d_Sep @ omega @ (^[X0 : $i] : ((emptyset != X0)))))),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_nat)).
% 251.48/36.45 thf(f1486,plain,(
% 251.48/36.45 (den = (second1 @ nat))),
% 251.48/36.45 inference(cnf_transformation,[],[f356])).
% 251.48/36.45 thf(f356,axiom,(
% 251.48/36.45 (den = (second1 @ nat))),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_den)).
% 251.48/36.45 thf(f1671,plain,(
% 251.48/36.45 (num = (first1 @ ((^[Y0 : $i]: ((^[Y1 : $i > $o]: (if @ (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (in @ Y2 @ Y0)))) @ (repl @ Y0 @ (^[Y2 : $i]: (if @ (Y1 @ Y2) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ Y0) & (Y1 @ Y3))))))) @ emptyset)))) @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0))))))),
% 251.48/36.45 inference(definition_unfolding,[],[f1619,f1660])).
% 251.48/36.45 thf(f1619,plain,(
% 251.48/36.45 (num = (first1 @ nat))),
% 251.48/36.45 inference(cnf_transformation,[],[f355])).
% 251.48/36.45 thf(f355,axiom,(
% 251.48/36.45 (num = (first1 @ nat))),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_num)).
% 251.48/36.45 thf(f1665,plain,(
% 251.48/36.45 (iii = (^[Y0 : $i]: ((^[Y1 : $i]: (l_some @ ((^[Y2 : $i]: ((^[Y3 : $i > $o]: (if @ (?? @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) & (in @ Y4 @ Y2)))) @ (repl @ Y2 @ (^[Y4 : $i]: (if @ (Y3 @ Y4) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ Y2) & (Y3 @ Y5))))))) @ emptyset)))) @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ ((^[Y5 : $i]: ((^[Y6 : $i > $o]: (if @ (?? @ $i @ (^[Y7 : $i]: ((Y6 @ Y7) & (in @ Y7 @ Y5)))) @ (repl @ Y5 @ (^[Y7 : $i]: (if @ (Y6 @ Y7) @ Y7 @ (eps @ (^[Y8 : $i]: ((in @ Y8 @ Y5) & (Y6 @ Y8))))))) @ emptyset)))) @ omega @ (^[Y5 : $i]: (~ (emptyset = Y5)))) @ Y2 @ (n_pl @ Y3 @ Y4))))))) @ Y1 @ Y0))))))),
% 251.48/36.45 inference(definition_unfolding,[],[f1551,f1661,f1663])).
% 251.48/36.45 thf(f1663,plain,(
% 251.48/36.45 (diffprop = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4 = Y5)))))) @ ((^[Y3 : $i]: ((^[Y4 : $i > $o]: (if @ (?? @ $i @ (^[Y5 : $i]: ((Y4 @ Y5) & (in @ Y5 @ Y3)))) @ (repl @ Y3 @ (^[Y5 : $i]: (if @ (Y4 @ Y5) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ Y3) & (Y4 @ Y6))))))) @ emptyset)))) @ omega @ (^[Y3 : $i]: (~ (emptyset = Y3)))) @ Y0 @ (n_pl @ Y1 @ Y2))))))))),
% 251.48/36.45 inference(definition_unfolding,[],[f1373,f1662])).
% 251.48/36.45 thf(f1662,plain,(
% 251.48/36.45 (n_is = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))) @ ((^[Y0 : $i]: ((^[Y1 : $i > $o]: (if @ (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (in @ Y2 @ Y0)))) @ (repl @ Y0 @ (^[Y2 : $i]: (if @ (Y1 @ Y2) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ Y0) & (Y1 @ Y3))))))) @ emptyset)))) @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0))))))),
% 251.48/36.45 inference(definition_unfolding,[],[f1320,f1339,f1660])).
% 251.48/36.45 thf(f1320,plain,(
% 251.48/36.45 (n_is = (e_is @ nat))),
% 251.48/36.45 inference(cnf_transformation,[],[f157])).
% 251.48/36.45 thf(f157,axiom,(
% 251.48/36.45 (n_is = (e_is @ nat))),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_n_is)).
% 251.48/36.45 thf(f1373,plain,(
% 251.48/36.45 (diffprop = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2))))))))),
% 251.48/36.45 inference(cnf_transformation,[],[f874])).
% 251.48/36.45 thf(f874,plain,(
% 251.48/36.45 (diffprop = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2))))))))),
% 251.48/36.45 inference(fool_elimination,[],[f203])).
% 251.48/36.45 thf(f203,axiom,(
% 251.48/36.45 ((^[X0 : $i, X1 : $i, X2 : $i] : (n_is @ X0 @ (n_pl @ X1 @ X2))) = diffprop)),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_diffprop)).
% 251.48/36.45 thf(f1661,plain,(
% 251.48/36.45 (n_some = (l_some @ ((^[Y0 : $i]: ((^[Y1 : $i > $o]: (if @ (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (in @ Y2 @ Y0)))) @ (repl @ Y0 @ (^[Y2 : $i]: (if @ (Y1 @ Y2) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ Y0) & (Y1 @ Y3))))))) @ emptyset)))) @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0))))))),
% 251.48/36.45 inference(definition_unfolding,[],[f1630,f1660])).
% 251.48/36.45 thf(f1630,plain,(
% 251.48/36.45 (n_some = (l_some @ nat))),
% 251.48/36.45 inference(cnf_transformation,[],[f160])).
% 251.48/36.45 thf(f160,axiom,(
% 251.48/36.45 (n_some = (l_some @ nat))),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_n_some)).
% 251.48/36.45 thf(f1551,plain,(
% 251.48/36.45 (iii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y1 @ Y0))))))),
% 251.48/36.45 inference(cnf_transformation,[],[f520])).
% 251.48/36.45 thf(f520,plain,(
% 251.48/36.45 (iii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y1 @ Y0))))))),
% 251.48/36.45 inference(fool_elimination,[],[f206])).
% 251.48/36.45 thf(f206,axiom,(
% 251.48/36.45 (iii = (^[X0 : $i, X1 : $i] : (n_some @ (diffprop @ X1 @ X0))))),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_iii)).
% 251.48/36.45 thf(f1557,plain,(
% 251.48/36.45 (lessf = (^[Y0 : $i]: ((^[Y1 : $i]: (iii @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))),
% 251.48/36.45 inference(cnf_transformation,[],[f1084])).
% 251.48/36.45 thf(f1084,plain,(
% 251.48/36.45 (lessf = (^[Y0 : $i]: ((^[Y1 : $i]: (iii @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))),
% 251.48/36.45 inference(fool_elimination,[],[f366])).
% 251.48/36.45 thf(f366,axiom,(
% 251.48/36.45 ((^[X0 : $i, X1 : $i] : (iii @ (n_ts @ (num @ X0) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X0)))) = lessf)),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_lessf)).
% 251.48/36.45 thf(f1699,plain,(
% 251.48/36.45 (class = ((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: (e_in @ (power @ Y0) @ (anec @ Y0 @ Y1))))) @ frac @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3 = Y4)))))) @ ((^[Y2 : $i]: ((^[Y3 : $i > $o]: (if @ (?? @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) & (in @ Y4 @ Y2)))) @ (repl @ Y2 @ (^[Y4 : $i]: (if @ (Y3 @ Y4) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ Y2) & (Y3 @ Y5))))))) @ emptyset)))) @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ (n_ts @ (first1 @ ((^[Y2 : $i]: ((^[Y3 : $i > $o]: (if @ (?? @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) & (in @ Y4 @ Y2)))) @ (repl @ Y2 @ (^[Y4 : $i]: (if @ (Y3 @ Y4) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ Y2) & (Y3 @ Y5))))))) @ emptyset)))) @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ Y0) @ (second1 @ ((^[Y2 : $i]: ((^[Y3 : $i > $o]: (if @ (?? @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) & (in @ Y4 @ Y2)))) @ (repl @ Y2 @ (^[Y4 : $i]: (if @ (Y3 @ Y4) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ Y2) & (Y3 @ Y5))))))) @ emptyset)))) @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ Y1)) @ (n_ts @ (first1 @ ((^[Y2 : $i]: ((^[Y3 : $i > $o]: (if @ (?? @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) & (in @ Y4 @ Y2)))) @ (repl @ Y2 @ (^[Y4 : $i]: (if @ (Y3 @ Y4) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ Y2) & (Y3 @ Y5))))))) @ emptyset)))) @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ Y1) @ (second1 @ ((^[Y2 : $i]: ((^[Y3 : $i > $o]: (if @ (?? @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) & (in @ Y4 @ Y2)))) @ (repl @ Y2 @ (^[Y4 : $i]: (if @ (Y3 @ Y4) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ Y2) & (Y3 @ Y5))))))) @ emptyset)))) @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ Y0))))))))),
% 251.48/36.45 inference(definition_unfolding,[],[f1523,f1404,f1673])).
% 251.48/36.45 thf(f1673,plain,(
% 251.48/36.45 (n_eq = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3 = Y4)))))) @ ((^[Y2 : $i]: ((^[Y3 : $i > $o]: (if @ (?? @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) & (in @ Y4 @ Y2)))) @ (repl @ Y2 @ (^[Y4 : $i]: (if @ (Y3 @ Y4) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ Y2) & (Y3 @ Y5))))))) @ emptyset)))) @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ (n_ts @ (first1 @ ((^[Y2 : $i]: ((^[Y3 : $i > $o]: (if @ (?? @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) & (in @ Y4 @ Y2)))) @ (repl @ Y2 @ (^[Y4 : $i]: (if @ (Y3 @ Y4) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ Y2) & (Y3 @ Y5))))))) @ emptyset)))) @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ Y0) @ (second1 @ ((^[Y2 : $i]: ((^[Y3 : $i > $o]: (if @ (?? @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) & (in @ Y4 @ Y2)))) @ (repl @ Y2 @ (^[Y4 : $i]: (if @ (Y3 @ Y4) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ Y2) & (Y3 @ Y5))))))) @ emptyset)))) @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ Y1)) @ (n_ts @ (first1 @ ((^[Y2 : $i]: ((^[Y3 : $i > $o]: (if @ (?? @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) & (in @ Y4 @ Y2)))) @ (repl @ Y2 @ (^[Y4 : $i]: (if @ (Y3 @ Y4) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ Y2) & (Y3 @ Y5))))))) @ emptyset)))) @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ Y1) @ (second1 @ ((^[Y2 : $i]: ((^[Y3 : $i > $o]: (if @ (?? @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) & (in @ Y4 @ Y2)))) @ (repl @ Y2 @ (^[Y4 : $i]: (if @ (Y3 @ Y4) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ Y2) & (Y3 @ Y5))))))) @ emptyset)))) @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ Y0)))))))),
% 251.48/36.45 inference(definition_unfolding,[],[f1546,f1662,f1671,f1672,f1671,f1672])).
% 251.48/36.45 thf(f1546,plain,(
% 251.48/36.45 (n_eq = (^[Y0 : $i]: ((^[Y1 : $i]: (n_is @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))),
% 251.48/36.45 inference(cnf_transformation,[],[f668])).
% 251.48/36.45 thf(f668,plain,(
% 251.48/36.45 (n_eq = (^[Y0 : $i]: ((^[Y1 : $i]: (n_is @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))),
% 251.48/36.45 inference(fool_elimination,[],[f357])).
% 251.48/36.45 thf(f357,axiom,(
% 251.48/36.45 ((^[X0 : $i, X1 : $i] : (n_is @ (n_ts @ (num @ X0) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X0)))) = n_eq)),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_n_eq)).
% 251.48/36.45 thf(f1404,plain,(
% 251.48/36.45 (ecect = (^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: (e_in @ (power @ Y0) @ (anec @ Y0 @ Y1))))))),
% 251.48/36.45 inference(cnf_transformation,[],[f661])).
% 251.48/36.45 thf(f661,plain,(
% 251.48/36.45 (ecect = (^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: (e_in @ (power @ Y0) @ (anec @ Y0 @ Y1))))))),
% 251.48/36.45 inference(fool_elimination,[],[f148])).
% 251.48/36.45 thf(f148,axiom,(
% 251.48/36.45 (ecect = (^[X0 : $i, X1 : $i > $i > $o] : (e_in @ (power @ X0) @ (anec @ X0 @ X1))))),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_ecect)).
% 251.48/36.45 thf(f1523,plain,(
% 251.48/36.45 (class = (ecect @ frac @ n_eq))),
% 251.48/36.45 inference(cnf_transformation,[],[f477])).
% 251.48/36.45 thf(f477,axiom,(
% 251.48/36.45 (class = (ecect @ frac @ n_eq))),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_class)).
% 251.48/36.45 thf(f1698,plain,(
% 251.48/36.45 (inf = ((^[Y0 : $i]: (in)) @ frac))),
% 251.48/36.45 inference(definition_unfolding,[],[f1506,f1383])).
% 251.48/36.45 thf(f1383,plain,(
% 251.48/36.45 (esti = (^[Y0 : $i]: (in)))),
% 251.48/36.45 inference(cnf_transformation,[],[f1029])).
% 251.48/36.45 thf(f1029,plain,(
% 251.48/36.45 (esti = (^[Y0 : $i]: (in)))),
% 251.48/36.45 inference(fool_elimination,[],[f131])).
% 251.48/36.45 thf(f131,axiom,(
% 251.48/36.45 (esti = (^[X0 : $i] : (in)))),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_esti)).
% 251.48/36.45 thf(f1506,plain,(
% 251.48/36.45 (inf = (esti @ frac))),
% 251.48/36.45 inference(cnf_transformation,[],[f468])).
% 251.48/36.45 thf(f468,axiom,(
% 251.48/36.45 (inf = (esti @ frac))),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_inf)).
% 251.48/36.45 thf(f1689,plain,(
% 251.48/36.45 (and3 = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: (Y6 => Y7)))) @ Y5 @ $false)) @ ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: ((^[Y8 : $o]: (Y7 => Y8)))) @ Y5 @ ((^[Y7 : $o]: ((^[Y8 : $o]: ((^[Y9 : $o]: (Y8 => Y9)))) @ Y7 @ $false)) @ Y6))))) @ Y3 @ Y4))))) @ Y0 @ ((^[Y3 : $o]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: (Y6 => Y7)))) @ Y5 @ $false)) @ ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: ((^[Y8 : $o]: (Y7 => Y8)))) @ Y5 @ ((^[Y7 : $o]: ((^[Y8 : $o]: ((^[Y9 : $o]: (Y8 => Y9)))) @ Y7 @ $false)) @ Y6))))) @ Y3 @ Y4))))) @ Y1 @ Y2))))))))),
% 251.48/36.45 inference(definition_unfolding,[],[f1567,f1680,f1680])).
% 251.48/36.45 thf(f1680,plain,(
% 251.48/36.45 (d_and = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ Y2 @ $false)) @ ((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: ((^[Y5 : $o]: (Y4 => Y5)))) @ Y2 @ ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ Y4 @ $false)) @ Y3))))) @ Y0 @ Y1))))))),
% 251.48/36.45 inference(definition_unfolding,[],[f1408,f1667,f1679])).
% 251.48/36.45 thf(f1679,plain,(
% 251.48/36.45 (l_ec = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: ((^[Y3 : $o]: (Y2 => Y3)))) @ Y0 @ ((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ Y2 @ $false)) @ Y1))))))),
% 251.48/36.45 inference(definition_unfolding,[],[f1378,f1398,f1667])).
% 251.48/36.45 thf(f1398,plain,(
% 251.48/36.45 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))),
% 251.48/36.45 inference(cnf_transformation,[],[f1040])).
% 251.48/36.45 thf(f1040,plain,(
% 251.48/36.45 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))),
% 251.48/36.45 inference(fool_elimination,[],[f1039])).
% 251.48/36.45 thf(f1039,plain,(
% 251.48/36.45 ((^[X0 : $o, X1 : $o] : (X0 => X1)) = imp)),
% 251.48/36.45 inference(rectify,[],[f74])).
% 251.48/36.45 thf(f74,axiom,(
% 251.48/36.45 ((^[X0 : $o, X1 : $o] : (X0 => X1)) = imp)),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_imp)).
% 251.48/36.45 thf(f1378,plain,(
% 251.48/36.45 (l_ec = (^[Y0 : $o]: ((^[Y1 : $o]: (imp @ Y0 @ (d_not @ Y1))))))),
% 251.48/36.45 inference(cnf_transformation,[],[f1095])).
% 251.48/36.45 thf(f1095,plain,(
% 251.48/36.45 (l_ec = (^[Y0 : $o]: ((^[Y1 : $o]: (imp @ Y0 @ (d_not @ Y1))))))),
% 251.48/36.45 inference(fool_elimination,[],[f79])).
% 251.48/36.45 thf(f79,axiom,(
% 251.48/36.45 ((^[X0 : $o, X1 : $o] : (imp @ X0 @ (d_not @ X1))) = l_ec)),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_l_ec)).
% 251.48/36.45 thf(f1408,plain,(
% 251.48/36.45 (d_and = (^[Y0 : $o]: ((^[Y1 : $o]: (d_not @ (l_ec @ Y0 @ Y1))))))),
% 251.48/36.45 inference(cnf_transformation,[],[f581])).
% 251.48/36.45 thf(f581,plain,(
% 251.48/36.45 (d_and = (^[Y0 : $o]: ((^[Y1 : $o]: (d_not @ (l_ec @ Y0 @ Y1))))))),
% 251.48/36.45 inference(fool_elimination,[],[f80])).
% 251.48/36.45 thf(f80,axiom,(
% 251.48/36.45 (d_and = (^[X0 : $o, X1 : $o] : (d_not @ (l_ec @ X0 @ X1))))),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_d_and)).
% 251.48/36.45 thf(f1567,plain,(
% 251.48/36.45 (and3 = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: (d_and @ Y0 @ (d_and @ Y1 @ Y2))))))))),
% 251.48/36.45 inference(cnf_transformation,[],[f867])).
% 251.48/36.45 thf(f867,plain,(
% 251.48/36.45 (and3 = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: (d_and @ Y0 @ (d_and @ Y1 @ Y2))))))))),
% 251.48/36.45 inference(fool_elimination,[],[f88])).
% 251.48/36.45 thf(f88,axiom,(
% 251.48/36.45 ((^[X0 : $o, X1 : $o, X2 : $o] : (d_and @ X0 @ (d_and @ X1 @ X2))) = and3)),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_and3)).
% 251.48/36.45 thf(f1637,plain,(
% 251.48/36.45 (rt_less = (^[Y0 : $i]: ((^[Y1 : $i]: (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (and3 @ (inf @ Y2 @ (class @ Y0)) @ (inf @ Y3 @ (class @ Y1)) @ (lessf @ Y2 @ Y3))))))))))),
% 251.48/36.45 inference(cnf_transformation,[],[f1120])).
% 251.48/36.45 thf(f1120,plain,(
% 251.48/36.45 (rt_less = (^[Y0 : $i]: ((^[Y1 : $i]: (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (and3 @ (inf @ Y2 @ (class @ Y0)) @ (inf @ Y3 @ (class @ Y1)) @ (lessf @ Y2 @ Y3))))))))))),
% 251.48/36.45 inference(fool_elimination,[],[f485])).
% 251.48/36.45 thf(f485,axiom,(
% 251.48/36.45 (rt_less = (^[X0 : $i, X1 : $i] : (l_some @ frac @ (^[X2 : $i] : (l_some @ frac @ (^[X3 : $i] : (and3 @ (inf @ X2 @ (class @ X0)) @ (inf @ X3 @ (class @ X1)) @ (lessf @ X2 @ X3))))))))),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_rt_less)).
% 251.48/36.45 thf(f1668,plain,(
% 251.48/36.45 (l_or = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: (Y1 => Y2)))) @ ((^[Y1 : $o]: ((^[Y2 : $o]: ((^[Y3 : $o]: (Y2 => Y3)))) @ Y1 @ $false)) @ Y0))))),
% 251.48/36.45 inference(definition_unfolding,[],[f1599,f1398,f1667])).
% 251.48/36.45 thf(f1599,plain,(
% 251.48/36.45 (l_or = (^[Y0 : $o]: (imp @ (d_not @ Y0))))),
% 251.48/36.45 inference(cnf_transformation,[],[f1106])).
% 251.48/36.45 thf(f1106,plain,(
% 251.48/36.45 (l_or = (^[Y0 : $o]: (imp @ (d_not @ Y0))))),
% 251.48/36.45 inference(fool_elimination,[],[f81])).
% 251.48/36.45 thf(f81,axiom,(
% 251.48/36.45 ((^[X0 : $o] : (imp @ (d_not @ X0))) = l_or)),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_l_or)).
% 251.48/36.45 thf(f1346,plain,(
% 251.48/36.45 (rt_lessis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (rt_less @ Y0 @ Y1) @ (rt_is @ Y0 @ Y1))))))),
% 251.48/36.45 inference(cnf_transformation,[],[f1075])).
% 251.48/36.45 thf(f1075,plain,(
% 251.48/36.45 (rt_lessis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (rt_less @ Y0 @ Y1) @ (rt_is @ Y0 @ Y1))))))),
% 251.48/36.45 inference(fool_elimination,[],[f493])).
% 251.48/36.45 thf(f493,axiom,(
% 251.48/36.45 (rt_lessis = (^[X0 : $i, X1 : $i] : (l_or @ (rt_less @ X0 @ X1) @ (rt_is @ X0 @ X1))))),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_rt_lessis)).
% 251.48/36.45 thf(f1700,plain,(
% 251.48/36.45 (rt_more = (^[Y0 : $i]: ((^[Y1 : $i]: (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: ((^[Y8 : $o]: ((^[Y9 : $o]: ((^[Y10 : $o]: ((^[Y11 : $o]: (Y10 => Y11)))) @ Y9 @ $false)) @ ((^[Y9 : $o]: ((^[Y10 : $o]: ((^[Y11 : $o]: ((^[Y12 : $o]: (Y11 => Y12)))) @ Y9 @ ((^[Y11 : $o]: ((^[Y12 : $o]: ((^[Y13 : $o]: (Y12 => Y13)))) @ Y11 @ $false)) @ Y10))))) @ Y7 @ Y8))))) @ Y4 @ ((^[Y7 : $o]: ((^[Y8 : $o]: ((^[Y9 : $o]: ((^[Y10 : $o]: ((^[Y11 : $o]: (Y10 => Y11)))) @ Y9 @ $false)) @ ((^[Y9 : $o]: ((^[Y10 : $o]: ((^[Y11 : $o]: ((^[Y12 : $o]: (Y11 => Y12)))) @ Y9 @ ((^[Y11 : $o]: ((^[Y12 : $o]: ((^[Y13 : $o]: (Y12 => Y13)))) @ Y11 @ $false)) @ Y10))))) @ Y7 @ Y8))))) @ Y5 @ Y6))))))) @ ((^[Y4 : $i]: (in)) @ frac @ Y2 @ ((^[Y4 : $i]: ((^[Y5 : $i > $i > $o]: (e_in @ (power @ Y4) @ (anec @ Y4 @ Y5))))) @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7 = Y8)))))) @ ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (if @ (?? @ $i @ (^[Y8 : $i]: ((Y7 @ Y8) & (in @ Y8 @ Y6)))) @ (repl @ Y6 @ (^[Y8 : $i]: (if @ (Y7 @ Y8) @ Y8 @ (eps @ (^[Y9 : $i]: ((in @ Y9 @ Y6) & (Y7 @ Y9))))))) @ emptyset)))) @ omega @ (^[Y6 : $i]: (~ (emptyset = Y6)))) @ (n_ts @ (first1 @ ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (if @ (?? @ $i @ (^[Y8 : $i]: ((Y7 @ Y8) & (in @ Y8 @ Y6)))) @ (repl @ Y6 @ (^[Y8 : $i]: (if @ (Y7 @ Y8) @ Y8 @ (eps @ (^[Y9 : $i]: ((in @ Y9 @ Y6) & (Y7 @ Y9))))))) @ emptyset)))) @ omega @ (^[Y6 : $i]: (~ (emptyset = Y6)))) @ Y4) @ (second1 @ ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (if @ (?? @ $i @ (^[Y8 : $i]: ((Y7 @ Y8) & (in @ Y8 @ Y6)))) @ (repl @ Y6 @ (^[Y8 : $i]: (if @ (Y7 @ Y8) @ Y8 @ (eps @ (^[Y9 : $i]: ((in @ Y9 @ Y6) & (Y7 @ Y9))))))) @ emptyset)))) @ omega @ (^[Y6 : $i]: (~ (emptyset = Y6)))) @ Y5)) @ (n_ts @ (first1 @ ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (if @ (?? @ $i @ (^[Y8 : $i]: ((Y7 @ Y8) & (in @ Y8 @ Y6)))) @ (repl @ Y6 @ (^[Y8 : $i]: (if @ (Y7 @ Y8) @ Y8 @ (eps @ (^[Y9 : $i]: ((in @ Y9 @ Y6) & (Y7 @ Y9))))))) @ emptyset)))) @ omega @ (^[Y6 : $i]: (~ (emptyset = Y6)))) @ Y5) @ (second1 @ ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (if @ (?? @ $i @ (^[Y8 : $i]: ((Y7 @ Y8) & (in @ Y8 @ Y6)))) @ (repl @ Y6 @ (^[Y8 : $i]: (if @ (Y7 @ Y8) @ Y8 @ (eps @ (^[Y9 : $i]: ((in @ Y9 @ Y6) & (Y7 @ Y9))))))) @ emptyset)))) @ omega @ (^[Y6 : $i]: (~ (emptyset = Y6)))) @ Y4)))))) @ Y0)) @ ((^[Y4 : $i]: (in)) @ frac @ Y3 @ ((^[Y4 : $i]: ((^[Y5 : $i > $i > $o]: (e_in @ (power @ Y4) @ (anec @ Y4 @ Y5))))) @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7 = Y8)))))) @ ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (if @ (?? @ $i @ (^[Y8 : $i]: ((Y7 @ Y8) & (in @ Y8 @ Y6)))) @ (repl @ Y6 @ (^[Y8 : $i]: (if @ (Y7 @ Y8) @ Y8 @ (eps @ (^[Y9 : $i]: ((in @ Y9 @ Y6) & (Y7 @ Y9))))))) @ emptyset)))) @ omega @ (^[Y6 : $i]: (~ (emptyset = Y6)))) @ (n_ts @ (first1 @ ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (if @ (?? @ $i @ (^[Y8 : $i]: ((Y7 @ Y8) & (in @ Y8 @ Y6)))) @ (repl @ Y6 @ (^[Y8 : $i]: (if @ (Y7 @ Y8) @ Y8 @ (eps @ (^[Y9 : $i]: ((in @ Y9 @ Y6) & (Y7 @ Y9))))))) @ emptyset)))) @ omega @ (^[Y6 : $i]: (~ (emptyset = Y6)))) @ Y4) @ (second1 @ ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (if @ (?? @ $i @ (^[Y8 : $i]: ((Y7 @ Y8) & (in @ Y8 @ Y6)))) @ (repl @ Y6 @ (^[Y8 : $i]: (if @ (Y7 @ Y8) @ Y8 @ (eps @ (^[Y9 : $i]: ((in @ Y9 @ Y6) & (Y7 @ Y9))))))) @ emptyset)))) @ omega @ (^[Y6 : $i]: (~ (emptyset = Y6)))) @ Y5)) @ (n_ts @ (first1 @ ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (if @ (?? @ $i @ (^[Y8 : $i]: ((Y7 @ Y8) & (in @ Y8 @ Y6)))) @ (repl @ Y6 @ (^[Y8 : $i]: (if @ (Y7 @ Y8) @ Y8 @ (eps @ (^[Y9 : $i]: ((in @ Y9 @ Y6) & (Y7 @ Y9))))))) @ emptyset)))) @ omega @ (^[Y6 : $i]: (~ (emptyset = Y6)))) @ Y5) @ (second1 @ ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (if @ (?? @ $i @ (^[Y8 : $i]: ((Y7 @ Y8) & (in @ Y8 @ Y6)))) @ (repl @ Y6 @ (^[Y8 : $i]: (if @ (Y7 @ Y8) @ Y8 @ (eps @ (^[Y9 : $i]: ((in @ Y9 @ Y6) & (Y7 @ Y9))))))) @ emptyset)))) @ omega @ (^[Y6 : $i]: (~ (emptyset = Y6)))) @ Y4)))))) @ Y1)) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (l_some @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: ((^[Y13 : $i]: (Y12 = Y13)))))) @ ((^[Y11 : $i]: ((^[Y12 : $i > $o]: (if @ (?? @ $i @ (^[Y13 : $i]: ((Y12 @ Y13) & (in @ Y13 @ Y11)))) @ (repl @ Y11 @ (^[Y13 : $i]: (if @ (Y12 @ Y13) @ Y13 @ (eps @ (^[Y14 : $i]: ((in @ Y14 @ Y11) & (Y12 @ Y14))))))) @ emptyset)))) @ omega @ (^[Y11 : $i]: (~ (emptyset = Y11)))) @ Y8 @ (n_pl @ Y9 @ Y10))))))) @ Y6 @ Y7))))) @ (n_ts @ (first1 @ ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (if @ (?? @ $i @ (^[Y8 : $i]: ((Y7 @ Y8) & (in @ Y8 @ Y6)))) @ (repl @ Y6 @ (^[Y8 : $i]: (if @ (Y7 @ Y8) @ Y8 @ (eps @ (^[Y9 : $i]: ((in @ Y9 @ Y6) & (Y7 @ Y9))))))) @ emptyset)))) @ omega @ (^[Y6 : $i]: (~ (emptyset = Y6)))) @ Y4) @ (second1 @ ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (if @ (?? @ $i @ (^[Y8 : $i]: ((Y7 @ Y8) & (in @ Y8 @ Y6)))) @ (repl @ Y6 @ (^[Y8 : $i]: (if @ (Y7 @ Y8) @ Y8 @ (eps @ (^[Y9 : $i]: ((in @ Y9 @ Y6) & (Y7 @ Y9))))))) @ emptyset)))) @ omega @ (^[Y6 : $i]: (~ (emptyset = Y6)))) @ Y5)) @ (n_ts @ (first1 @ ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (if @ (?? @ $i @ (^[Y8 : $i]: ((Y7 @ Y8) & (in @ Y8 @ Y6)))) @ (repl @ Y6 @ (^[Y8 : $i]: (if @ (Y7 @ Y8) @ Y8 @ (eps @ (^[Y9 : $i]: ((in @ Y9 @ Y6) & (Y7 @ Y9))))))) @ emptyset)))) @ omega @ (^[Y6 : $i]: (~ (emptyset = Y6)))) @ Y5) @ (second1 @ ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (if @ (?? @ $i @ (^[Y8 : $i]: ((Y7 @ Y8) & (in @ Y8 @ Y6)))) @ (repl @ Y6 @ (^[Y8 : $i]: (if @ (Y7 @ Y8) @ Y8 @ (eps @ (^[Y9 : $i]: ((in @ Y9 @ Y6) & (Y7 @ Y9))))))) @ emptyset)))) @ omega @ (^[Y6 : $i]: (~ (emptyset = Y6)))) @ Y4)))))) @ Y2 @ Y3))))))))))),
% 251.48/36.45 inference(definition_unfolding,[],[f1335,f1689,f1698,f1699,f1698,f1699,f1681])).
% 251.48/36.45 thf(f1681,plain,(
% 251.48/36.45 (moref = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (l_some @ ((^[Y4 : $i]: ((^[Y5 : $i > $o]: (if @ (?? @ $i @ (^[Y6 : $i]: ((Y5 @ Y6) & (in @ Y6 @ Y4)))) @ (repl @ Y4 @ (^[Y6 : $i]: (if @ (Y5 @ Y6) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ Y4) & (Y5 @ Y7))))))) @ emptyset)))) @ omega @ (^[Y4 : $i]: (~ (emptyset = Y4)))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ ((^[Y7 : $i]: ((^[Y8 : $i > $o]: (if @ (?? @ $i @ (^[Y9 : $i]: ((Y8 @ Y9) & (in @ Y9 @ Y7)))) @ (repl @ Y7 @ (^[Y9 : $i]: (if @ (Y8 @ Y9) @ Y9 @ (eps @ (^[Y10 : $i]: ((in @ Y10 @ Y7) & (Y8 @ Y10))))))) @ emptyset)))) @ omega @ (^[Y7 : $i]: (~ (emptyset = Y7)))) @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y2 @ Y3))))) @ (n_ts @ (first1 @ ((^[Y2 : $i]: ((^[Y3 : $i > $o]: (if @ (?? @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) & (in @ Y4 @ Y2)))) @ (repl @ Y2 @ (^[Y4 : $i]: (if @ (Y3 @ Y4) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ Y2) & (Y3 @ Y5))))))) @ emptyset)))) @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ Y0) @ (second1 @ ((^[Y2 : $i]: ((^[Y3 : $i > $o]: (if @ (?? @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) & (in @ Y4 @ Y2)))) @ (repl @ Y2 @ (^[Y4 : $i]: (if @ (Y3 @ Y4) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ Y2) & (Y3 @ Y5))))))) @ emptyset)))) @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ Y1)) @ (n_ts @ (first1 @ ((^[Y2 : $i]: ((^[Y3 : $i > $o]: (if @ (?? @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) & (in @ Y4 @ Y2)))) @ (repl @ Y2 @ (^[Y4 : $i]: (if @ (Y3 @ Y4) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ Y2) & (Y3 @ Y5))))))) @ emptyset)))) @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ Y1) @ (second1 @ ((^[Y2 : $i]: ((^[Y3 : $i > $o]: (if @ (?? @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) & (in @ Y4 @ Y2)))) @ (repl @ Y2 @ (^[Y4 : $i]: (if @ (Y3 @ Y4) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ Y2) & (Y3 @ Y5))))))) @ emptyset)))) @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ Y0)))))))),
% 251.48/36.45 inference(definition_unfolding,[],[f1426,f1664,f1671,f1672,f1671,f1672])).
% 251.48/36.45 thf(f1664,plain,(
% 251.48/36.45 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (l_some @ ((^[Y2 : $i]: ((^[Y3 : $i > $o]: (if @ (?? @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) & (in @ Y4 @ Y2)))) @ (repl @ Y2 @ (^[Y4 : $i]: (if @ (Y3 @ Y4) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ Y2) & (Y3 @ Y5))))))) @ emptyset)))) @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ ((^[Y5 : $i]: ((^[Y6 : $i > $o]: (if @ (?? @ $i @ (^[Y7 : $i]: ((Y6 @ Y7) & (in @ Y7 @ Y5)))) @ (repl @ Y5 @ (^[Y7 : $i]: (if @ (Y6 @ Y7) @ Y7 @ (eps @ (^[Y8 : $i]: ((in @ Y8 @ Y5) & (Y6 @ Y8))))))) @ emptyset)))) @ omega @ (^[Y5 : $i]: (~ (emptyset = Y5)))) @ Y2 @ (n_pl @ Y3 @ Y4))))))) @ Y0 @ Y1))))))),
% 251.48/36.45 inference(definition_unfolding,[],[f1449,f1661,f1663])).
% 251.48/36.45 thf(f1449,plain,(
% 251.48/36.45 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y0 @ Y1))))))),
% 251.48/36.45 inference(cnf_transformation,[],[f696])).
% 251.48/36.45 thf(f696,plain,(
% 251.48/36.45 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y0 @ Y1))))))),
% 251.48/36.45 inference(fool_elimination,[],[f205])).
% 251.48/36.45 thf(f205,axiom,(
% 251.48/36.45 ((^[X0 : $i, X1 : $i] : (n_some @ (diffprop @ X0 @ X1))) = d_29_ii)),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_d_29_ii)).
% 251.48/36.45 thf(f1426,plain,(
% 251.48/36.45 (moref = (^[Y0 : $i]: ((^[Y1 : $i]: (d_29_ii @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))),
% 251.48/36.45 inference(cnf_transformation,[],[f521])).
% 251.48/36.45 thf(f521,plain,(
% 251.48/36.45 (moref = (^[Y0 : $i]: ((^[Y1 : $i]: (d_29_ii @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))),
% 251.48/36.45 inference(fool_elimination,[],[f365])).
% 251.48/36.45 thf(f365,axiom,(
% 251.48/36.45 (moref = (^[X0 : $i, X1 : $i] : (d_29_ii @ (n_ts @ (num @ X0) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X0)))))),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_moref)).
% 251.48/36.45 thf(f1335,plain,(
% 251.48/36.45 (rt_more = (^[Y0 : $i]: ((^[Y1 : $i]: (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (and3 @ (inf @ Y2 @ (class @ Y0)) @ (inf @ Y3 @ (class @ Y1)) @ (moref @ Y2 @ Y3))))))))))),
% 251.48/36.45 inference(cnf_transformation,[],[f909])).
% 251.48/36.45 thf(f909,plain,(
% 251.48/36.45 (rt_more = (^[Y0 : $i]: ((^[Y1 : $i]: (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (and3 @ (inf @ Y2 @ (class @ Y0)) @ (inf @ Y3 @ (class @ Y1)) @ (moref @ Y2 @ Y3))))))))))),
% 251.48/36.45 inference(fool_elimination,[],[f483])).
% 251.48/36.45 thf(f483,axiom,(
% 251.48/36.45 (rt_more = (^[X0 : $i, X1 : $i] : (l_some @ frac @ (^[X2 : $i] : (l_some @ frac @ (^[X3 : $i] : (and3 @ (inf @ X2 @ (class @ X0)) @ (inf @ X3 @ (class @ X1)) @ (moref @ X2 @ X3))))))))),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_rt_more)).
% 251.48/36.45 thf(f1667,plain,(
% 251.48/36.45 (d_not = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: (Y1 => Y2)))) @ Y0 @ $false)))),
% 251.48/36.45 inference(definition_unfolding,[],[f1647,f1398])).
% 251.48/36.45 thf(f1647,plain,(
% 251.48/36.45 (d_not = (^[Y0 : $o]: (imp @ Y0 @ $false)))),
% 251.48/36.45 inference(cnf_transformation,[],[f1132])).
% 251.48/36.45 thf(f1132,plain,(
% 251.48/36.45 (d_not = (^[Y0 : $o]: (imp @ Y0 @ $false)))),
% 251.48/36.45 inference(fool_elimination,[],[f75])).
% 251.48/36.45 thf(f75,axiom,(
% 251.48/36.45 ((^[X0 : $o] : (imp @ X0 @ $false)) = d_not)),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_d_not)).
% 251.48/36.45 thf(f1666,plain,(
% 251.48/36.45 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 251.48/36.45 inference(definition_unfolding,[],[f1338,f1524])).
% 251.48/36.45 thf(f1524,plain,(
% 251.48/36.45 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 251.48/36.45 inference(cnf_transformation,[],[f1242])).
% 251.48/36.45 thf(f1242,plain,(
% 251.48/36.45 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 251.48/36.45 inference(fool_elimination,[],[f1])).
% 251.48/36.45 thf(f1,axiom,(
% 251.48/36.45 (is_of = (^[X0 : $i, X1 : $i > $o] : (X1 @ X0)))),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_is_of)).
% 251.48/36.45 thf(f1338,plain,(
% 251.48/36.45 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 251.48/36.45 inference(cnf_transformation,[],[f1083])).
% 251.48/36.45 thf(f1083,plain,(
% 251.48/36.45 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 251.48/36.45 inference(fool_elimination,[],[f1082])).
% 251.48/36.45 thf(f1082,plain,(
% 251.48/36.45 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)),
% 251.48/36.45 inference(rectify,[],[f2])).
% 251.48/36.45 thf(f2,axiom,(
% 251.48/36.45 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_all_of)).
% 251.48/36.45 thf(f1439,plain,(
% 251.48/36.45 ($true != (all_of @ (^[Y0 : $i]: (in @ Y0 @ rat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ rat)) @ (^[Y1 : $i]: ((d_not @ (rt_more @ Y0 @ Y1)) => (rt_lessis @ Y0 @ Y1)))))))),
% 251.48/36.45 inference(cnf_transformation,[],[f1280])).
% 251.48/36.45 thf(f1280,plain,(
% 251.48/36.45 ($true != (all_of @ (^[Y0 : $i]: (in @ Y0 @ rat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ rat)) @ (^[Y1 : $i]: ((d_not @ (rt_more @ Y0 @ Y1)) => (rt_lessis @ Y0 @ Y1)))))))),
% 251.48/36.45 inference(flattening,[],[f1103])).
% 251.48/36.45 thf(f1103,plain,(
% 251.48/36.45 ~($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ rat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ rat)) @ (^[Y1 : $i]: ((d_not @ (rt_more @ Y0 @ Y1)) => (rt_lessis @ Y0 @ Y1)))))))),
% 251.48/36.45 inference(fool_elimination,[],[f1102])).
% 251.48/36.45 thf(f1102,plain,(
% 251.48/36.45 ~(all_of @ (^[X0 : $i] : (in @ X0 @ rat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ rat)) @ (^[X3 : $i] : ((d_not @ (rt_more @ X1 @ X3)) => (rt_lessis @ X1 @ X3))))))),
% 251.48/36.45 inference(rectify,[],[f497])).
% 251.48/36.45 thf(f497,negated_conjecture,(
% 251.48/36.45 ~(all_of @ (^[X0 : $i] : (in @ X0 @ rat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ rat)) @ (^[X1 : $i] : ((d_not @ (rt_more @ X0 @ X1)) => (rt_lessis @ X0 @ X1))))))),
% 251.48/36.45 inference(negated_conjecture,[],[f496])).
% 251.48/36.45 thf(f496,conjecture,(
% 251.48/36.45 (all_of @ (^[X0 : $i] : (in @ X0 @ rat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ rat)) @ (^[X1 : $i] : ((d_not @ (rt_more @ X0 @ X1)) => (rt_lessis @ X0 @ X1))))))),
% 251.48/36.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz81e)).
% 251.48/36.45 thf(f7579,plain,(
% 251.48/36.45 ((in @ sK10 @ rat) = $false) | ((in @ sK11 @ rat) = $false)),
% 251.48/36.45 inference(trivial_inequality_removal,[],[f7578])).
% 251.48/36.45 thf(f7578,plain,(
% 251.48/36.45 ((in @ sK10 @ rat) = $false) | ((in @ sK11 @ rat) = $false) | ($true = $false)),
% 251.48/36.45 inference(forward_demodulation,[],[f7577,f3008])).
% 251.48/36.45 thf(f3008,plain,(
% 251.48/36.45 ((l_some @ frac @ (^[Y0 : $i]: (l_some @ frac @ (^[Y1 : $i]: (~ ((in @ Y0 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ sK10)) => ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ sK11)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y2 : $i]: ((~ (emptyset = Y2)) & (in @ Y2 @ omega)))) @ (repl @ omega @ (^[Y2 : $i]: (if @ (~ (emptyset = Y2)) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ omega) & (~ (emptyset = Y3)))))))) @ emptyset) @ (^[Y2 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1)) @ Y2)))))))))))) = $false)),
% 251.48/36.45 inference(not_proxy_clausification,[],[f3007])).
% 251.48/36.45 thf(f3007,plain,(
% 251.48/36.45 ($true = (~ (l_some @ frac @ (^[Y0 : $i]: (l_some @ frac @ (^[Y1 : $i]: (~ ((in @ Y0 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ sK10)) => ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ sK11)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y2 : $i]: ((~ (emptyset = Y2)) & (in @ Y2 @ omega)))) @ (repl @ omega @ (^[Y2 : $i]: (if @ (~ (emptyset = Y2)) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ omega) & (~ (emptyset = Y3)))))))) @ emptyset) @ (^[Y2 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1)) @ Y2))))))))))))))),
% 251.48/36.45 inference(binary_proxy_clausification,[],[f3003])).
% 251.48/36.45 thf(f3003,plain,(
% 251.48/36.45 (((~ (l_some @ frac @ (^[Y0 : $i]: (l_some @ frac @ (^[Y1 : $i]: (~ ((in @ Y0 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ sK10)) => ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ sK11)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y2 : $i]: ((~ (emptyset = Y2)) & (in @ Y2 @ omega)))) @ (repl @ omega @ (^[Y2 : $i]: (if @ (~ (emptyset = Y2)) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ omega) & (~ (emptyset = Y3)))))))) @ emptyset) @ (^[Y2 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1)) @ Y2))))))))))))) => (sK10 = sK11)) = $false)),
% 251.48/36.45 inference(binary_proxy_clausification,[],[f3001])).
% 251.48/36.45 thf(f3001,plain,(
% 251.48/36.45 (((~ (l_some @ frac @ (^[Y0 : $i]: (l_some @ frac @ (^[Y1 : $i]: (~ ((in @ Y0 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ sK10)) => ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ sK11)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y2 : $i]: ((~ (emptyset = Y2)) & (in @ Y2 @ omega)))) @ (repl @ omega @ (^[Y2 : $i]: (if @ (~ (emptyset = Y2)) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ omega) & (~ (emptyset = Y3)))))))) @ emptyset) @ (^[Y2 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0)) @ Y2))))))))))))) => ((~ (l_some @ frac @ (^[Y0 : $i]: (l_some @ frac @ (^[Y1 : $i]: (~ ((in @ Y0 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ sK10)) => ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ sK11)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y2 : $i]: ((~ (emptyset = Y2)) & (in @ Y2 @ omega)))) @ (repl @ omega @ (^[Y2 : $i]: (if @ (~ (emptyset = Y2)) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ omega) & (~ (emptyset = Y3)))))))) @ emptyset) @ (^[Y2 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1)) @ Y2))))))))))))) => (sK10 = sK11))) = $false)),
% 251.48/36.45 inference(binary_proxy_clausification,[],[f3000])).
% 251.48/36.45 thf(f3000,plain,(
% 251.48/36.45 ($false = ((in @ sK11 @ rat) => ((~ (l_some @ frac @ (^[Y0 : $i]: (l_some @ frac @ (^[Y1 : $i]: (~ ((in @ Y0 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ sK10)) => ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ sK11)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y2 : $i]: ((~ (emptyset = Y2)) & (in @ Y2 @ omega)))) @ (repl @ omega @ (^[Y2 : $i]: (if @ (~ (emptyset = Y2)) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ omega) & (~ (emptyset = Y3)))))))) @ emptyset) @ (^[Y2 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0)) @ Y2))))))))))))) => ((~ (l_some @ frac @ (^[Y0 : $i]: (l_some @ frac @ (^[Y1 : $i]: (~ ((in @ Y0 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ sK10)) => ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ sK11)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y2 : $i]: ((~ (emptyset = Y2)) & (in @ Y2 @ omega)))) @ (repl @ omega @ (^[Y2 : $i]: (if @ (~ (emptyset = Y2)) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ omega) & (~ (emptyset = Y3)))))))) @ emptyset) @ (^[Y2 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1)) @ Y2))))))))))))) => (sK10 = sK11)))))),
% 251.48/36.45 inference(beta_eta_normalization,[],[f2999])).
% 251.48/36.45 thf(f2999,plain,(
% 251.48/36.45 (((^[Y0 : $i]: ((in @ Y0 @ rat) => ((~ (l_some @ frac @ (^[Y1 : $i]: (l_some @ frac @ (^[Y2 : $i]: (~ ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y3 : $i]: ((^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3))))))) @ sK10)) => ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y3 : $i]: ((^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3))))))) @ Y0)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ (^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y1)) @ Y3))))))))))))) => ((~ (l_some @ frac @ (^[Y1 : $i]: (l_some @ frac @ (^[Y2 : $i]: (~ ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y3 : $i]: ((^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3))))))) @ sK10)) => ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y3 : $i]: ((^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3))))))) @ Y0)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ (^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y1)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2)) @ Y3))))))))))))) => (sK10 = Y0))))) @ sK11) = $false)),
% 251.48/36.45 inference(sigma_clausification,[],[f2997])).
% 251.48/36.45 thf(f2997,plain,(
% 251.48/36.45 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => ((~ (l_some @ frac @ (^[Y1 : $i]: (l_some @ frac @ (^[Y2 : $i]: (~ ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y3 : $i]: ((^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3))))))) @ sK10)) => ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y3 : $i]: ((^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3))))))) @ Y0)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ (^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y1)) @ Y3))))))))))))) => ((~ (l_some @ frac @ (^[Y1 : $i]: (l_some @ frac @ (^[Y2 : $i]: (~ ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y3 : $i]: ((^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3))))))) @ sK10)) => ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y3 : $i]: ((^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3))))))) @ Y0)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ (^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y1)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2)) @ Y3))))))))))))) => (sK10 = Y0)))))) = $false)),
% 251.48/36.45 inference(binary_proxy_clausification,[],[f2996])).
% 251.48/36.45 thf(f7577,plain,(
% 251.48/36.45 ((l_some @ frac @ (^[Y0 : $i]: (l_some @ frac @ (^[Y1 : $i]: (~ ((in @ Y0 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ sK10)) => ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ sK11)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y2 : $i]: ((~ (emptyset = Y2)) & (in @ Y2 @ omega)))) @ (repl @ omega @ (^[Y2 : $i]: (if @ (~ (emptyset = Y2)) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ omega) & (~ (emptyset = Y3)))))))) @ emptyset) @ (^[Y2 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1)) @ Y2)))))))))))) = $true) | ((in @ sK11 @ rat) = $false) | ((in @ sK10 @ rat) = $false)),
% 251.48/36.45 inference(subsumption_resolution,[],[f7576,f3009])).
% 251.48/36.45 thf(f3009,plain,(
% 251.48/36.45 (sK11 != sK10)),
% 251.48/36.45 inference(equality_proxy_clausification,[],[f3006])).
% 251.48/36.45 thf(f3006,plain,(
% 251.48/36.45 ($false = (sK10 = sK11))),
% 251.48/36.45 inference(binary_proxy_clausification,[],[f3003])).
% 251.48/36.45 thf(f7576,plain,(
% 251.48/36.45 (sK11 = sK10) | ((in @ sK11 @ rat) = $false) | ((in @ sK10 @ rat) = $false) | ((l_some @ frac @ (^[Y0 : $i]: (l_some @ frac @ (^[Y1 : $i]: (~ ((in @ Y0 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ sK10)) => ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ sK11)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y2 : $i]: ((~ (emptyset = Y2)) & (in @ Y2 @ omega)))) @ (repl @ omega @ (^[Y2 : $i]: (if @ (~ (emptyset = Y2)) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ omega) & (~ (emptyset = Y3)))))))) @ emptyset) @ (^[Y2 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1)) @ Y2)))))))))))) = $true)),
% 251.48/36.45 inference(trivial_inequality_removal,[],[f7570])).
% 251.48/36.45 thf(f7570,plain,(
% 251.48/36.45 ((in @ sK10 @ rat) = $false) | ((in @ sK11 @ rat) = $false) | (sK11 = sK10) | ($true = $false) | ((l_some @ frac @ (^[Y0 : $i]: (l_some @ frac @ (^[Y1 : $i]: (~ ((in @ Y0 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ sK10)) => ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ sK11)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y2 : $i]: ((~ (emptyset = Y2)) & (in @ Y2 @ omega)))) @ (repl @ omega @ (^[Y2 : $i]: (if @ (~ (emptyset = Y2)) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ omega) & (~ (emptyset = Y3)))))))) @ emptyset) @ (^[Y2 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1)) @ Y2)))))))))))) = $true)),
% 251.48/36.45 inference(superposition,[],[f3005,f3751])).
% 251.48/36.45 thf(f3751,plain,(
% 251.48/36.45 ( ! [X2 : $i,X1 : $i] : (($true = (l_some @ frac @ (^[Y0 : $i]: (l_some @ frac @ (^[Y1 : $i]: (~ ((in @ Y0 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ X1)) => ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ X2)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y2 : $i]: ((~ (emptyset = Y2)) & (in @ Y2 @ omega)))) @ (repl @ omega @ (^[Y2 : $i]: (if @ (~ (emptyset = Y2)) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ omega) & (~ (emptyset = Y3)))))))) @ emptyset) @ (^[Y2 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0)) @ Y2))))))))))))) | ((in @ X1 @ rat) = $false) | ((in @ X2 @ rat) = $false) | ($true = (l_some @ frac @ (^[Y0 : $i]: (l_some @ frac @ (^[Y1 : $i]: (~ ((in @ Y0 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ X1)) => ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ X2)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y2 : $i]: ((~ (emptyset = Y2)) & (in @ Y2 @ omega)))) @ (repl @ omega @ (^[Y2 : $i]: (if @ (~ (emptyset = Y2)) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ omega) & (~ (emptyset = Y3)))))))) @ emptyset) @ (^[Y2 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1)) @ Y2))))))))))))) | (X1 = X2)) )),
% 251.48/36.45 inference(equality_proxy_clausification,[],[f3750])).
% 251.48/36.45 thf(f3750,plain,(
% 251.48/36.45 ( ! [X2 : $i,X1 : $i] : (($true = (l_some @ frac @ (^[Y0 : $i]: (l_some @ frac @ (^[Y1 : $i]: (~ ((in @ Y0 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ X1)) => ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ X2)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y2 : $i]: ((~ (emptyset = Y2)) & (in @ Y2 @ omega)))) @ (repl @ omega @ (^[Y2 : $i]: (if @ (~ (emptyset = Y2)) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ omega) & (~ (emptyset = Y3)))))))) @ emptyset) @ (^[Y2 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0)) @ Y2))))))))))))) | ($true = (X1 = X2)) | ($true = (l_some @ frac @ (^[Y0 : $i]: (l_some @ frac @ (^[Y1 : $i]: (~ ((in @ Y0 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ X1)) => ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ X2)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y2 : $i]: ((~ (emptyset = Y2)) & (in @ Y2 @ omega)))) @ (repl @ omega @ (^[Y2 : $i]: (if @ (~ (emptyset = Y2)) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ omega) & (~ (emptyset = Y3)))))))) @ emptyset) @ (^[Y2 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1)) @ Y2))))))))))))) | ((in @ X2 @ rat) = $false) | ((in @ X1 @ rat) = $false)) )),
% 251.48/36.45 inference(not_proxy_clausification,[],[f3749])).
% 251.48/36.45 thf(f3749,plain,(
% 251.48/36.45 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ rat) = $false) | ($true = (l_some @ frac @ (^[Y0 : $i]: (l_some @ frac @ (^[Y1 : $i]: (~ ((in @ Y0 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ X1)) => ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ X2)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y2 : $i]: ((~ (emptyset = Y2)) & (in @ Y2 @ omega)))) @ (repl @ omega @ (^[Y2 : $i]: (if @ (~ (emptyset = Y2)) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ omega) & (~ (emptyset = Y3)))))))) @ emptyset) @ (^[Y2 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1)) @ Y2))))))))))))) | ((~ (l_some @ frac @ (^[Y0 : $i]: (l_some @ frac @ (^[Y1 : $i]: (~ ((in @ Y0 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ X1)) => ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ X2)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y2 : $i]: ((~ (emptyset = Y2)) & (in @ Y2 @ omega)))) @ (repl @ omega @ (^[Y2 : $i]: (if @ (~ (emptyset = Y2)) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ omega) & (~ (emptyset = Y3)))))))) @ emptyset) @ (^[Y2 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0)) @ Y2))))))))))))) = $false) | ($true = (X1 = X2)) | ((in @ X2 @ rat) = $false)) )),
% 251.48/36.45 inference(not_proxy_clausification,[],[f3748])).
% 251.48/36.45 thf(f3748,plain,(
% 251.48/36.45 ( ! [X2 : $i,X1 : $i] : (((~ (X1 = X2)) = $false) | ((in @ X1 @ rat) = $false) | ((~ (l_some @ frac @ (^[Y0 : $i]: (l_some @ frac @ (^[Y1 : $i]: (~ ((in @ Y0 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ X1)) => ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ X2)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y2 : $i]: ((~ (emptyset = Y2)) & (in @ Y2 @ omega)))) @ (repl @ omega @ (^[Y2 : $i]: (if @ (~ (emptyset = Y2)) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ omega) & (~ (emptyset = Y3)))))))) @ emptyset) @ (^[Y2 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0)) @ Y2))))))))))))) = $false) | ($true = (l_some @ frac @ (^[Y0 : $i]: (l_some @ frac @ (^[Y1 : $i]: (~ ((in @ Y0 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ X1)) => ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ X2)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y2 : $i]: ((~ (emptyset = Y2)) & (in @ Y2 @ omega)))) @ (repl @ omega @ (^[Y2 : $i]: (if @ (~ (emptyset = Y2)) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ omega) & (~ (emptyset = Y3)))))))) @ emptyset) @ (^[Y2 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1)) @ Y2))))))))))))) | ((in @ X2 @ rat) = $false)) )),
% 251.48/36.45 inference(binary_proxy_clausification,[],[f3747])).
% 251.48/36.45 thf(f3747,plain,(
% 251.48/36.45 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ rat) = $false) | ((in @ X2 @ rat) = $false) | ($true = ((~ (l_some @ frac @ (^[Y0 : $i]: (l_some @ frac @ (^[Y1 : $i]: (~ ((in @ Y0 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ X1)) => ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ X2)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y2 : $i]: ((~ (emptyset = Y2)) & (in @ Y2 @ omega)))) @ (repl @ omega @ (^[Y2 : $i]: (if @ (~ (emptyset = Y2)) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ omega) & (~ (emptyset = Y3)))))))) @ emptyset) @ (^[Y2 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0)) @ Y2))))))))))))) => (l_some @ frac @ (^[Y0 : $i]: (l_some @ frac @ (^[Y1 : $i]: (~ ((in @ Y0 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ X1)) => ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ X2)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y2 : $i]: ((~ (emptyset = Y2)) & (in @ Y2 @ omega)))) @ (repl @ omega @ (^[Y2 : $i]: (if @ (~ (emptyset = Y2)) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ omega) & (~ (emptyset = Y3)))))))) @ emptyset) @ (^[Y2 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1)) @ Y2)))))))))))))) | ((~ (X1 = X2)) = $false)) )),
% 251.48/36.45 inference(binary_proxy_clausification,[],[f3746])).
% 251.48/36.45 thf(f3746,plain,(
% 251.48/36.45 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ rat) = $false) | ((in @ X2 @ rat) = $false) | ($true = ((~ (X1 = X2)) => ((~ (l_some @ frac @ (^[Y0 : $i]: (l_some @ frac @ (^[Y1 : $i]: (~ ((in @ Y0 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ X1)) => ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ X2)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y2 : $i]: ((~ (emptyset = Y2)) & (in @ Y2 @ omega)))) @ (repl @ omega @ (^[Y2 : $i]: (if @ (~ (emptyset = Y2)) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ omega) & (~ (emptyset = Y3)))))))) @ emptyset) @ (^[Y2 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0)) @ Y2))))))))))))) => (l_some @ frac @ (^[Y0 : $i]: (l_some @ frac @ (^[Y1 : $i]: (~ ((in @ Y0 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ X1)) => ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ X2)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y2 : $i]: ((~ (emptyset = Y2)) & (in @ Y2 @ omega)))) @ (repl @ omega @ (^[Y2 : $i]: (if @ (~ (emptyset = Y2)) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ omega) & (~ (emptyset = Y3)))))))) @ emptyset) @ (^[Y2 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1)) @ Y2)))))))))))))))) )),
% 251.48/36.46 inference(binary_proxy_clausification,[],[f3745])).
% 251.48/36.46 thf(f3745,plain,(
% 251.48/36.46 ( ! [X2 : $i,X1 : $i] : (($true = ((in @ X2 @ rat) => ((~ (X1 = X2)) => ((~ (l_some @ frac @ (^[Y0 : $i]: (l_some @ frac @ (^[Y1 : $i]: (~ ((in @ Y0 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ X1)) => ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ X2)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y2 : $i]: ((~ (emptyset = Y2)) & (in @ Y2 @ omega)))) @ (repl @ omega @ (^[Y2 : $i]: (if @ (~ (emptyset = Y2)) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ omega) & (~ (emptyset = Y3)))))))) @ emptyset) @ (^[Y2 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0)) @ Y2))))))))))))) => (l_some @ frac @ (^[Y0 : $i]: (l_some @ frac @ (^[Y1 : $i]: (~ ((in @ Y0 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ X1)) => ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ X2)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y2 : $i]: ((~ (emptyset = Y2)) & (in @ Y2 @ omega)))) @ (repl @ omega @ (^[Y2 : $i]: (if @ (~ (emptyset = Y2)) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ omega) & (~ (emptyset = Y3)))))))) @ emptyset) @ (^[Y2 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1)) @ Y2)))))))))))))))) | ((in @ X1 @ rat) = $false)) )),
% 251.48/36.46 inference(beta_eta_normalization,[],[f3744])).
% 251.48/36.46 thf(f3744,plain,(
% 251.48/36.46 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ rat) = $false) | ($true = ((^[Y0 : $i]: ((in @ Y0 @ rat) => ((~ (X1 = Y0)) => ((~ (l_some @ frac @ (^[Y1 : $i]: (l_some @ frac @ (^[Y2 : $i]: (~ ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y3 : $i]: ((^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3))))))) @ X1)) => ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y3 : $i]: ((^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3))))))) @ Y0)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ (^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y1)) @ Y3))))))))))))) => (l_some @ frac @ (^[Y1 : $i]: (l_some @ frac @ (^[Y2 : $i]: (~ ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y3 : $i]: ((^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3))))))) @ X1)) => ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y3 : $i]: ((^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3))))))) @ Y0)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ (^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y1)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2)) @ Y3)))))))))))))))) @ X2))) )),
% 251.48/36.46 inference(pi_clausification,[],[f3743])).
% 251.48/36.46 thf(f3743,plain,(
% 251.48/36.46 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => ((~ (X1 = Y0)) => ((~ (l_some @ frac @ (^[Y1 : $i]: (l_some @ frac @ (^[Y2 : $i]: (~ ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y3 : $i]: ((^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3))))))) @ X1)) => ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y3 : $i]: ((^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3))))))) @ Y0)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ (^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y1)) @ Y3))))))))))))) => (l_some @ frac @ (^[Y1 : $i]: (l_some @ frac @ (^[Y2 : $i]: (~ ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y3 : $i]: ((^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3))))))) @ X1)) => ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y3 : $i]: ((^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3))))))) @ Y0)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ (^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y1)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2)) @ Y3)))))))))))))))))) | ((in @ X1 @ rat) = $false)) )),
% 251.48/36.46 inference(binary_proxy_clausification,[],[f3742])).
% 251.48/36.46 thf(f3742,plain,(
% 251.48/36.46 ( ! [X1 : $i] : (($true = ((in @ X1 @ rat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => ((~ (X1 = Y0)) => ((~ (l_some @ frac @ (^[Y1 : $i]: (l_some @ frac @ (^[Y2 : $i]: (~ ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y3 : $i]: ((^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3))))))) @ X1)) => ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y3 : $i]: ((^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3))))))) @ Y0)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ (^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y1)) @ Y3))))))))))))) => (l_some @ frac @ (^[Y1 : $i]: (l_some @ frac @ (^[Y2 : $i]: (~ ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y3 : $i]: ((^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3))))))) @ X1)) => ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y3 : $i]: ((^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3))))))) @ Y0)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ (^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y1)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2)) @ Y3)))))))))))))))))))) )),
% 251.48/36.46 inference(beta_eta_normalization,[],[f3741])).
% 251.48/36.46 thf(f3741,plain,(
% 251.48/36.46 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ rat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ rat) => ((~ (Y0 = Y1)) => ((~ (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) @ Y4))))))))))))) => (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) @ Y4))))))))))))))))))) @ X1))) )),
% 251.48/36.46 inference(pi_clausification,[],[f3740])).
% 251.48/36.46 thf(f3740,plain,(
% 251.48/36.46 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ rat) => ((~ (Y0 = Y1)) => ((~ (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) @ Y4))))))))))))) => (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) @ Y4)))))))))))))))))))))),
% 251.48/36.46 inference(boolean_simplification,[],[f3739])).
% 251.48/36.46 thf(f3739,plain,(
% 251.48/36.46 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ rat) => (((Y0 = Y1) => $false) => ((~ (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) @ Y4))))))))))))) => (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) @ Y4)))))))))))))))))))))),
% 251.48/36.46 inference(boolean_simplification,[],[f3738])).
% 251.48/36.46 thf(f3738,plain,(
% 251.48/36.46 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ rat) => (((Y0 = Y1) => $false) => ((~ (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) @ Y4)))) => $false))))))))) => (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) @ Y4)))))))))))))))))))))),
% 251.48/36.46 inference(boolean_simplification,[],[f3737])).
% 251.48/36.46 thf(f3737,plain,(
% 251.48/36.46 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ rat) => (((Y0 = Y1) => $false) => ((~ (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => (~ (~ ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) @ Y4)))) => $false))))))))))) => (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) @ Y4)))))))))))))))))))))),
% 251.48/36.46 inference(boolean_simplification,[],[f3736])).
% 251.48/36.46 thf(f3736,plain,(
% 251.48/36.46 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ rat) => (((Y0 = Y1) => $false) => ((~ (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => (~ (((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) @ Y4)))) => $false)) => $false))))))))) => (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) @ Y4)))))))))))))))))))))),
% 251.48/36.46 inference(boolean_simplification,[],[f3735])).
% 251.48/36.46 thf(f3735,plain,(
% 251.48/36.46 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ rat) => (((Y0 = Y1) => $false) => ((~ (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) @ Y4)))) => $false)) => $false) => $false)))))))) => (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) @ Y4)))))))))))))))))))))),
% 251.48/36.46 inference(boolean_simplification,[],[f3734])).
% 251.48/36.46 thf(f3734,plain,(
% 251.48/36.46 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ rat) => (((Y0 = Y1) => $false) => ((~ (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) @ Y4)))) => $false)) => $false) => $false)) => $false)))))) => (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) @ Y4)))))))))))))))))))))),
% 251.48/36.46 inference(boolean_simplification,[],[f3733])).
% 251.48/36.46 thf(f3733,plain,(
% 251.48/36.46 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ rat) => (((Y0 = Y1) => $false) => (((l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) @ Y4)))) => $false)) => $false) => $false)) => $false))))) => $false) => (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) @ Y4)))))))))))))))))))))),
% 251.48/36.46 inference(boolean_simplification,[],[f3732])).
% 251.48/36.46 thf(f3732,plain,(
% 251.48/36.46 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ rat) => (((Y0 = Y1) => $false) => (((l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) @ Y4)))) => $false)) => $false) => $false)) => $false))))) => $false) => (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) @ Y4)))) => $false)))))))))))))))))),
% 251.48/36.46 inference(boolean_simplification,[],[f3731])).
% 251.48/36.46 thf(f3731,plain,(
% 251.48/36.46 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ rat) => (((Y0 = Y1) => $false) => (((l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) @ Y4)))) => $false)) => $false) => $false)) => $false))))) => $false) => (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => (~ (~ ((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) @ Y4)))) => $false)))))))))))))))))))),
% 251.48/36.46 inference(boolean_simplification,[],[f3730])).
% 251.48/36.46 thf(f3730,plain,(
% 251.48/36.46 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ rat) => (((Y0 = Y1) => $false) => (((l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) @ Y4)))) => $false)) => $false) => $false)) => $false))))) => $false) => (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => (~ (((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) @ Y4)))) => $false)) => $false)))))))))))))))))),
% 251.48/36.46 inference(boolean_simplification,[],[f3729])).
% 251.48/36.46 thf(f3729,plain,(
% 251.48/36.46 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ rat) => (((Y0 = Y1) => $false) => (((l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) @ Y4)))) => $false)) => $false) => $false)) => $false))))) => $false) => (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (~ ((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) @ Y4)))) => $false)) => $false) => $false))))))))))))))))),
% 251.48/36.46 inference(boolean_simplification,[],[f3728])).
% 251.48/36.46 thf(f3728,plain,(
% 251.48/36.46 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ rat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ rat) => (((Y0 = Y1) => $false) => (((l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) @ Y4)))) => $false)) => $false) => $false)) => $false))))) => $false) => (l_some @ frac @ (^[Y2 : $i]: (l_some @ frac @ (^[Y3 : $i]: (((in @ Y2 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y0)) => ((((in @ Y3 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y4 : $i]: ((^[Y5 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y5) @ (second1 @ (if @ (?? @ $i @ (^[Y6 : $i]: ((~ (emptyset = Y6)) & (in @ Y6 @ omega)))) @ (repl @ omega @ (^[Y6 : $i]: (if @ (~ (emptyset = Y6)) @ Y6 @ (eps @ (^[Y7 : $i]: ((in @ Y7 @ omega) & (~ (emptyset = Y7)))))))) @ emptyset) @ Y4))))))) @ Y1)) => ((l_some @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ (^[Y4 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y5 : $i]: ((~ (emptyset = Y5)) & (in @ Y5 @ omega)))) @ (repl @ omega @ (^[Y5 : $i]: (if @ (~ (emptyset = Y5)) @ Y5 @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ omega) & (~ (emptyset = Y6)))))))) @ emptyset) @ Y3)) @ Y4)))) => $false)) => $false) => $false)) => $false))))))))))))))),
% 251.48/36.46 inference(beta_eta_normalization,[],[f1756])).
% 251.48/36.46 thf(f1756,plain,(
% 251.48/36.46 ($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 @ rat)) @ (^[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 @ rat)) @ (^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: (Y6 => Y7)))) @ ((^[Y6 : $o]: ((^[Y7 : $o]: ((^[Y8 : $o]: (Y7 => Y8)))) @ Y6 @ $false)) @ Y5))) @ Y2 @ ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: (Y6 => Y7)))) @ ((^[Y6 : $o]: ((^[Y7 : $o]: ((^[Y8 : $o]: (Y7 => Y8)))) @ Y6 @ $false)) @ Y5))) @ Y3 @ Y4))))))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3 = Y4)))))) @ rat @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (l_some @ frac @ (^[Y4 : $i]: (l_some @ frac @ (^[Y5 : $i]: ((^[Y6 : $o]: ((^[Y7 : $o]: ((^[Y8 : $o]: ((^[Y9 : $o]: ((^[Y10 : $o]: ((^[Y11 : $o]: ((^[Y12 : $o]: ((^[Y13 : $o]: (Y12 => Y13)))) @ Y11 @ $false)) @ ((^[Y11 : $o]: ((^[Y12 : $o]: ((^[Y13 : $o]: ((^[Y14 : $o]: (Y13 => Y14)))) @ Y11 @ ((^[Y13 : $o]: ((^[Y14 : $o]: ((^[Y15 : $o]: (Y14 => Y15)))) @ Y13 @ $false)) @ Y12))))) @ Y9 @ Y10))))) @ Y6 @ ((^[Y9 : $o]: ((^[Y10 : $o]: ((^[Y11 : $o]: ((^[Y12 : $o]: ((^[Y13 : $o]: (Y12 => Y13)))) @ Y11 @ $false)) @ ((^[Y11 : $o]: ((^[Y12 : $o]: ((^[Y13 : $o]: ((^[Y14 : $o]: (Y13 => Y14)))) @ Y11 @ ((^[Y13 : $o]: ((^[Y14 : $o]: ((^[Y15 : $o]: (Y14 => Y15)))) @ Y13 @ $false)) @ Y12))))) @ Y9 @ Y10))))) @ Y7 @ Y8))))))) @ ((^[Y6 : $i]: (in)) @ frac @ Y4 @ ((^[Y6 : $i]: ((^[Y7 : $i > $i > $o]: (e_in @ (power @ Y6) @ (anec @ Y6 @ Y7))))) @ frac @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9 = Y10)))))) @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ (n_ts @ (first1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y6) @ (second1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y7)) @ (n_ts @ (first1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y7) @ (second1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? 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@ $i @ (^[Y15 : $i]: ((Y14 @ Y15) & (in @ Y15 @ Y13)))) @ (repl @ Y13 @ (^[Y15 : $i]: (if @ (Y14 @ Y15) @ Y15 @ (eps @ (^[Y16 : $i]: ((in @ Y16 @ Y13) & (Y14 @ Y16))))))) @ emptyset)))) @ omega @ (^[Y13 : $i]: (~ (emptyset = Y13)))) @ Y10 @ (n_pl @ Y11 @ Y12))))))) @ Y9 @ Y8))))) @ (n_ts @ (first1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y6) @ (second1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y7)) @ (n_ts @ (first1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y7) @ (second1 @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (if @ (?? @ $i @ (^[Y10 : $i]: ((Y9 @ Y10) & (in @ Y10 @ Y8)))) @ (repl @ Y8 @ (^[Y10 : $i]: (if @ (Y9 @ Y10) @ Y10 @ (eps @ (^[Y11 : $i]: ((in @ Y11 @ Y8) & (Y9 @ Y11))))))) @ emptyset)))) @ omega @ (^[Y8 : $i]: (~ (emptyset = Y8)))) @ Y6)))))) @ Y4 @ Y5))))))))) @ Y0 @ Y1)))))))),
% 251.48/36.46 inference(definition_unfolding,[],[f1374,f1666,f1666,f1687,f1692,f1700,f1702])).
% 251.48/36.46 thf(f1687,plain,(
% 251.48/36.46 (or3 = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: ((^[Y5 : $o]: (Y4 => Y5)))) @ ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ Y4 @ $false)) @ Y3))) @ Y0 @ ((^[Y3 : $o]: ((^[Y4 : $o]: ((^[Y5 : $o]: (Y4 => Y5)))) @ ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ Y4 @ $false)) @ Y3))) @ Y1 @ Y2))))))))),
% 251.48/36.46 inference(definition_unfolding,[],[f1322,f1668,f1668])).
% 251.48/36.46 thf(f1322,plain,(
% 251.48/36.46 (or3 = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: (l_or @ Y0 @ (l_or @ Y1 @ Y2))))))))),
% 251.48/36.46 inference(cnf_transformation,[],[f1054])).
% 251.48/36.46 thf(f1054,plain,(
% 251.48/36.46 (or3 = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: (l_or @ Y0 @ (l_or @ Y1 @ Y2))))))))),
% 251.48/36.46 inference(fool_elimination,[],[f87])).
% 251.48/36.46 thf(f87,axiom,(
% 251.48/36.46 ((^[X0 : $o, X1 : $o, X2 : $o] : (l_or @ X0 @ (l_or @ X1 @ X2))) = or3)),
% 251.48/36.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_or3)).
% 251.48/36.46 thf(f1374,plain,(
% 251.48/36.46 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ rat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ rat)) @ (^[Y1 : $i]: (or3 @ (rt_is @ Y0 @ Y1) @ (rt_more @ Y0 @ Y1) @ (rt_less @ Y0 @ Y1)))))))),
% 251.48/36.46 inference(cnf_transformation,[],[f1057])).
% 251.48/36.46 thf(f1057,plain,(
% 251.48/36.46 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ rat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ rat)) @ (^[Y1 : $i]: (or3 @ (rt_is @ Y0 @ Y1) @ (rt_more @ Y0 @ Y1) @ (rt_less @ Y0 @ Y1)))))))),
% 251.48/36.46 inference(fool_elimination,[],[f1056])).
% 251.48/36.46 thf(f1056,plain,(
% 251.48/36.46 (all_of @ (^[X0 : $i] : (in @ X0 @ rat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ rat)) @ (^[X3 : $i] : (or3 @ (rt_is @ X1 @ X3) @ (rt_more @ X1 @ X3) @ (rt_less @ X1 @ X3))))))),
% 251.48/36.46 inference(rectify,[],[f488])).
% 251.48/36.46 thf(f488,axiom,(
% 251.48/36.46 (all_of @ (^[X0 : $i] : (in @ X0 @ rat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ rat)) @ (^[X1 : $i] : (or3 @ (rt_is @ X0 @ X1) @ (rt_more @ X0 @ X1) @ (rt_less @ X0 @ X1))))))),
% 251.48/36.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz81a)).
% 251.48/36.46 thf(f3005,plain,(
% 251.48/36.46 ((l_some @ frac @ (^[Y0 : $i]: (l_some @ frac @ (^[Y1 : $i]: (~ ((in @ Y0 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ sK10)) => ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ sK11)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y2 : $i]: ((~ (emptyset = Y2)) & (in @ Y2 @ omega)))) @ (repl @ omega @ (^[Y2 : $i]: (if @ (~ (emptyset = Y2)) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ omega) & (~ (emptyset = Y3)))))))) @ emptyset) @ (^[Y2 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0)) @ Y2)))))))))))) = $false)),
% 251.48/36.46 inference(not_proxy_clausification,[],[f3004])).
% 251.48/36.46 thf(f3004,plain,(
% 251.48/36.46 ($true = (~ (l_some @ frac @ (^[Y0 : $i]: (l_some @ frac @ (^[Y1 : $i]: (~ ((in @ Y0 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ sK10)) => ((in @ Y1 @ (e_in @ (power @ frac) @ (anec @ frac @ (^[Y2 : $i]: ((^[Y3 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3)) = (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y3) @ (second1 @ (if @ (?? @ $i @ (^[Y4 : $i]: ((~ (emptyset = Y4)) & (in @ Y4 @ omega)))) @ (repl @ omega @ (^[Y4 : $i]: (if @ (~ (emptyset = Y4)) @ Y4 @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ omega) & (~ (emptyset = Y5)))))))) @ emptyset) @ Y2))))))) @ sK11)) => (~ (l_some @ (if @ (?? @ $i @ (^[Y2 : $i]: ((~ (emptyset = Y2)) & (in @ Y2 @ omega)))) @ (repl @ omega @ (^[Y2 : $i]: (if @ (~ (emptyset = Y2)) @ Y2 @ (eps @ (^[Y3 : $i]: ((in @ Y3 @ omega) & (~ (emptyset = Y3)))))))) @ emptyset) @ (^[Y2 : $i]: ((n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1)) = (n_pl @ (n_ts @ (first1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y1) @ (second1 @ (if @ (?? @ $i @ (^[Y3 : $i]: ((~ (emptyset = Y3)) & (in @ Y3 @ omega)))) @ (repl @ omega @ (^[Y3 : $i]: (if @ (~ (emptyset = Y3)) @ Y3 @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ omega) & (~ (emptyset = Y4)))))))) @ emptyset) @ Y0)) @ Y2))))))))))))))),
% 251.48/36.46 inference(binary_proxy_clausification,[],[f3001])).
% 251.48/36.46 thf(f3002,plain,(
% 251.48/36.46 ($true = (in @ sK11 @ rat))),
% 251.48/36.46 inference(binary_proxy_clausification,[],[f3000])).
% 251.48/36.46 % SZS output end Proof for theBenchmark
% 251.48/36.46 % (24913)------------------------------
% 251.48/36.46 % (24913)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 251.48/36.46 % (24913)Termination reason: Refutation
% 251.48/36.46
% 251.48/36.46 % (24913)Memory used [KB]: 16886
% 251.48/36.46 % (24913)Time elapsed: 2.967 s
% 251.48/36.46 % (24913)Instructions burned: 12161 (million)
% 251.48/36.46 % (24913)------------------------------
% 251.48/36.46 % (24913)------------------------------
% 251.48/36.46 % (24572)Success in time 36.106 s
%------------------------------------------------------------------------------