TSTP Solution File: NUM659^4 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : NUM659^4 : TPTP v8.2.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 13:16:23 EDT 2024
% Result : Theorem 0.22s 0.56s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM659^4 : TPTP v8.2.0. Released v7.1.0.
% 0.12/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Jun 22 21:10:09 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/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.12/0.39 % (1430)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.39 % (1432)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.12/0.39 % (1433)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.39 % (1434)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.39 % (1431)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.12/0.39 % (1435)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.12/0.39 % (1436)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.39 % (1433)Instruction limit reached!
% 0.12/0.39 % (1433)------------------------------
% 0.12/0.39 % (1433)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.39 % (1433)Termination reason: Unknown
% 0.12/0.39 % (1433)Termination phase: shuffling
% 0.12/0.39 % (1434)Instruction limit reached!
% 0.12/0.39 % (1434)------------------------------
% 0.12/0.39 % (1434)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.39 % (1434)Termination reason: Unknown
% 0.12/0.39 % (1434)Termination phase: shuffling
% 0.12/0.39
% 0.12/0.39 % (1434)Memory used [KB]: 1279
% 0.12/0.39 % (1434)Time elapsed: 0.004 s
% 0.12/0.39 % (1434)Instructions burned: 3 (million)
% 0.12/0.39 % (1434)------------------------------
% 0.12/0.39 % (1434)------------------------------
% 0.12/0.39
% 0.12/0.39 % (1433)Memory used [KB]: 1279
% 0.12/0.39 % (1433)Time elapsed: 0.004 s
% 0.12/0.39 % (1433)Instructions burned: 3 (million)
% 0.12/0.39 % (1433)------------------------------
% 0.12/0.39 % (1433)------------------------------
% 0.12/0.39 % (1431)Instruction limit reached!
% 0.12/0.39 % (1431)------------------------------
% 0.12/0.39 % (1431)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.39 % (1431)Termination reason: Unknown
% 0.12/0.39 % (1431)Termination phase: shuffling
% 0.12/0.39
% 0.12/0.39 % (1431)Memory used [KB]: 1279
% 0.12/0.39 % (1431)Time elapsed: 0.005 s
% 0.12/0.39 % (1431)Instructions burned: 4 (million)
% 0.12/0.39 % (1431)------------------------------
% 0.12/0.39 % (1431)------------------------------
% 0.12/0.40 % (1436)Instruction limit reached!
% 0.12/0.40 % (1436)------------------------------
% 0.12/0.40 % (1436)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.40 % (1436)Termination reason: Unknown
% 0.12/0.40 % (1436)Termination phase: shuffling
% 0.12/0.40
% 0.12/0.40 % (1436)Memory used [KB]: 1535
% 0.12/0.40 % (1436)Time elapsed: 0.013 s
% 0.12/0.40 % (1436)Instructions burned: 19 (million)
% 0.12/0.40 % (1436)------------------------------
% 0.12/0.40 % (1436)------------------------------
% 0.12/0.40 % (1432)Instruction limit reached!
% 0.12/0.40 % (1432)------------------------------
% 0.12/0.40 % (1432)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.40 % (1432)Termination reason: Unknown
% 0.12/0.40 % (1432)Termination phase: Property scanning
% 0.12/0.40
% 0.12/0.40 % (1432)Memory used [KB]: 1535
% 0.12/0.40 % (1432)Time elapsed: 0.017 s
% 0.12/0.40 % (1432)Instructions burned: 28 (million)
% 0.12/0.40 % (1432)------------------------------
% 0.12/0.40 % (1432)------------------------------
% 0.12/0.40 % (1437)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.12/0.40 % (1438)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.12/0.40 % (1439)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.12/0.41 % (1437)Instruction limit reached!
% 0.12/0.41 % (1437)------------------------------
% 0.12/0.41 % (1437)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.41 % (1437)Termination reason: Unknown
% 0.12/0.41 % (1437)Termination phase: shuffling
% 0.12/0.41
% 0.12/0.41 % (1437)Memory used [KB]: 1279
% 0.12/0.41 % (1437)Time elapsed: 0.004 s
% 0.12/0.41 % (1437)Instructions burned: 3 (million)
% 0.12/0.41 % (1437)------------------------------
% 0.12/0.41 % (1437)------------------------------
% 0.12/0.41 % (1435)Refutation not found, incomplete strategy
% 0.12/0.41 % (1435)------------------------------
% 0.12/0.41 % (1435)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.41 % (1435)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.41
% 0.12/0.41
% 0.12/0.41 % (1435)Memory used [KB]: 6140
% 0.12/0.41 % (1435)Time elapsed: 0.023 s
% 0.12/0.41 % (1435)Instructions burned: 39 (million)
% 0.12/0.41 % (1435)------------------------------
% 0.12/0.41 % (1435)------------------------------
% 0.22/0.41 % (1439)Instruction limit reached!
% 0.22/0.41 % (1439)------------------------------
% 0.22/0.41 % (1439)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41 % (1439)Termination reason: Unknown
% 0.22/0.41 % (1439)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (1439)Memory used [KB]: 1535
% 0.22/0.41 % (1439)Time elapsed: 0.011 s
% 0.22/0.41 % (1439)Instructions burned: 16 (million)
% 0.22/0.41 % (1439)------------------------------
% 0.22/0.41 % (1439)------------------------------
% 0.22/0.42 % (1440)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.42 % (1441)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.22/0.42 % (1440)Instruction limit reached!
% 0.22/0.42 % (1440)------------------------------
% 0.22/0.42 % (1440)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.42 % (1440)Termination reason: Unknown
% 0.22/0.42 % (1440)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (1440)Memory used [KB]: 1279
% 0.22/0.42 % (1440)Time elapsed: 0.006 s
% 0.22/0.42 % (1440)Instructions burned: 3 (million)
% 0.22/0.42 % (1440)------------------------------
% 0.22/0.42 % (1440)------------------------------
% 0.22/0.42 % (1442)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.42 % (1438)Instruction limit reached!
% 0.22/0.42 % (1438)------------------------------
% 0.22/0.42 % (1438)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.42 % (1438)Termination reason: Unknown
% 0.22/0.42 % (1438)Termination phase: Property scanning
% 0.22/0.42
% 0.22/0.42 % (1438)Memory used [KB]: 1663
% 0.22/0.42 % (1438)Time elapsed: 0.021 s
% 0.22/0.42 % (1438)Instructions burned: 39 (million)
% 0.22/0.42 % (1438)------------------------------
% 0.22/0.42 % (1438)------------------------------
% 0.22/0.42 % (1443)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.43 % (1442)Instruction limit reached!
% 0.22/0.43 % (1442)------------------------------
% 0.22/0.43 % (1442)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (1442)Termination reason: Unknown
% 0.22/0.43 % (1442)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (1442)Memory used [KB]: 1407
% 0.22/0.43 % (1442)Time elapsed: 0.006 s
% 0.22/0.43 % (1442)Instructions burned: 7 (million)
% 0.22/0.43 % (1442)------------------------------
% 0.22/0.43 % (1442)------------------------------
% 0.22/0.43 % (1444)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.43 % (1444)Instruction limit reached!
% 0.22/0.43 % (1444)------------------------------
% 0.22/0.43 % (1444)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (1444)Termination reason: Unknown
% 0.22/0.43 % (1444)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (1444)Memory used [KB]: 1279
% 0.22/0.43 % (1444)Time elapsed: 0.004 s
% 0.22/0.43 % (1444)Instructions burned: 3 (million)
% 0.22/0.43 % (1444)------------------------------
% 0.22/0.43 % (1444)------------------------------
% 0.22/0.43 % (1443)Instruction limit reached!
% 0.22/0.43 % (1443)------------------------------
% 0.22/0.43 % (1443)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (1443)Termination reason: Unknown
% 0.22/0.43 % (1443)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (1443)Memory used [KB]: 1535
% 0.22/0.43 % (1443)Time elapsed: 0.011 s
% 0.22/0.43 % (1443)Instructions burned: 16 (million)
% 0.22/0.43 % (1443)------------------------------
% 0.22/0.43 % (1443)------------------------------
% 0.22/0.44 % (1446)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.44 % (1447)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.44 % (1446)Instruction limit reached!
% 0.22/0.44 % (1446)------------------------------
% 0.22/0.44 % (1446)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.44 % (1446)Termination reason: Unknown
% 0.22/0.44 % (1446)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (1446)Memory used [KB]: 1407
% 0.22/0.44 % (1446)Time elapsed: 0.006 s
% 0.22/0.44 % (1446)Instructions burned: 7 (million)
% 0.22/0.44 % (1446)------------------------------
% 0.22/0.44 % (1446)------------------------------
% 0.22/0.44 % (1447)Instruction limit reached!
% 0.22/0.44 % (1447)------------------------------
% 0.22/0.44 % (1447)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.44 % (1447)Termination reason: Unknown
% 0.22/0.44 % (1447)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (1447)Memory used [KB]: 1279
% 0.22/0.44 % (1447)Time elapsed: 0.004 s
% 0.22/0.44 % (1447)Instructions burned: 4 (million)
% 0.22/0.44 % (1447)------------------------------
% 0.22/0.44 % (1447)------------------------------
% 0.22/0.44 % (1445)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.45 % (1445)Instruction limit reached!
% 0.22/0.45 % (1445)------------------------------
% 0.22/0.45 % (1445)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.45 % (1445)Termination reason: Unknown
% 0.22/0.45 % (1445)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (1445)Memory used [KB]: 1279
% 0.22/0.45 % (1445)Time elapsed: 0.004 s
% 0.22/0.45 % (1445)Instructions burned: 3 (million)
% 0.22/0.45 % (1445)------------------------------
% 0.22/0.45 % (1445)------------------------------
% 0.22/0.45 % (1448)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.45 % (1449)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.45 % (1448)Instruction limit reached!
% 0.22/0.45 % (1448)------------------------------
% 0.22/0.45 % (1448)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.45 % (1448)Termination reason: Unknown
% 0.22/0.45 % (1448)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (1448)Memory used [KB]: 1279
% 0.22/0.45 % (1448)Time elapsed: 0.005 s
% 0.22/0.45 % (1448)Instructions burned: 5 (million)
% 0.22/0.45 % (1448)------------------------------
% 0.22/0.45 % (1448)------------------------------
% 0.22/0.46 % (1450)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.46 % (1449)Instruction limit reached!
% 0.22/0.46 % (1449)------------------------------
% 0.22/0.46 % (1449)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.46 % (1449)Termination reason: Unknown
% 0.22/0.46 % (1449)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (1451)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.46 % (1449)Memory used [KB]: 1535
% 0.22/0.46 % (1449)Time elapsed: 0.012 s
% 0.22/0.46 % (1449)Instructions burned: 18 (million)
% 0.22/0.46 % (1449)------------------------------
% 0.22/0.46 % (1449)------------------------------
% 0.22/0.46 % (1430)Instruction limit reached!
% 0.22/0.46 % (1430)------------------------------
% 0.22/0.46 % (1430)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.46 % (1430)Termination reason: Unknown
% 0.22/0.46 % (1430)Termination phase: Function definition elimination
% 0.22/0.46
% 0.22/0.46 % (1430)Memory used [KB]: 1918
% 0.22/0.46 % (1430)Time elapsed: 0.077 s
% 0.22/0.46 % (1430)Instructions burned: 184 (million)
% 0.22/0.46 % (1430)------------------------------
% 0.22/0.46 % (1430)------------------------------
% 0.22/0.46 % (1452)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.22/0.46 % (1451)Instruction limit reached!
% 0.22/0.46 % (1451)------------------------------
% 0.22/0.46 % (1451)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.46 % (1451)Termination reason: Unknown
% 0.22/0.46 % (1451)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (1451)Memory used [KB]: 1407
% 0.22/0.46 % (1451)Time elapsed: 0.006 s
% 0.22/0.46 % (1451)Instructions burned: 7 (million)
% 0.22/0.46 % (1451)------------------------------
% 0.22/0.46 % (1451)------------------------------
% 0.22/0.47 % (1453)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.22/0.47 % (1454)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.22/0.48 % (1455)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.22/0.48 % (1454)Instruction limit reached!
% 0.22/0.48 % (1454)------------------------------
% 0.22/0.48 % (1454)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.48 % (1454)Termination reason: Unknown
% 0.22/0.48 % (1454)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (1454)Memory used [KB]: 1279
% 0.22/0.48 % (1453)Instruction limit reached!
% 0.22/0.48 % (1453)------------------------------
% 0.22/0.48 % (1453)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.48 % (1453)Termination reason: Unknown
% 0.22/0.48 % (1453)Termination phase: Property scanning
% 0.22/0.48
% 0.22/0.48 % (1453)Memory used [KB]: 1535
% 0.22/0.48 % (1453)Time elapsed: 0.014 s
% 0.22/0.48 % (1453)Instructions burned: 22 (million)
% 0.22/0.48 % (1453)------------------------------
% 0.22/0.48 % (1453)------------------------------
% 0.22/0.48 % (1454)Time elapsed: 0.005 s
% 0.22/0.48 % (1454)Instructions burned: 6 (million)
% 0.22/0.48 % (1454)------------------------------
% 0.22/0.48 % (1454)------------------------------
% 0.22/0.48 % (1456)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.22/0.48 % (1455)Instruction limit reached!
% 0.22/0.48 % (1455)------------------------------
% 0.22/0.48 % (1455)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.48 % (1455)Termination reason: Unknown
% 0.22/0.48 % (1455)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (1455)Memory used [KB]: 1407
% 0.22/0.48 % (1455)Time elapsed: 0.006 s
% 0.22/0.48 % (1455)Instructions burned: 7 (million)
% 0.22/0.48 % (1455)------------------------------
% 0.22/0.48 % (1455)------------------------------
% 0.22/0.49 % (1452)Refutation not found, incomplete strategy
% 0.22/0.49 % (1452)------------------------------
% 0.22/0.49 % (1452)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.49 % (1452)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.49
% 0.22/0.49
% 0.22/0.49 % (1452)Memory used [KB]: 6396
% 0.22/0.49 % (1452)Time elapsed: 0.030 s
% 0.22/0.49 % (1452)Instructions burned: 71 (million)
% 0.22/0.49 % (1452)------------------------------
% 0.22/0.49 % (1452)------------------------------
% 0.22/0.49 % (1458)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
% 0.22/0.49 % (1457)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2998ds/779Mi)
% 0.22/0.50 % (1459)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.22/0.50 % (1460)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.22/0.50 % (1458)Instruction limit reached!
% 0.22/0.50 % (1458)------------------------------
% 0.22/0.50 % (1458)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.50 % (1458)Termination reason: Unknown
% 0.22/0.50 % (1458)Termination phase: shuffling
% 0.22/0.50
% 0.22/0.50 % (1458)Memory used [KB]: 1663
% 0.22/0.50 % (1458)Time elapsed: 0.010 s
% 0.22/0.50 % (1458)Instructions burned: 20 (million)
% 0.22/0.50 % (1458)------------------------------
% 0.22/0.50 % (1458)------------------------------
% 0.22/0.51 % (1460)Instruction limit reached!
% 0.22/0.51 % (1460)------------------------------
% 0.22/0.51 % (1460)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.51 % (1460)Termination reason: Unknown
% 0.22/0.51 % (1460)Termination phase: shuffling
% 0.22/0.51
% 0.22/0.51 % (1460)Memory used [KB]: 1535
% 0.22/0.51 % (1460)Time elapsed: 0.008 s
% 0.22/0.51 % (1460)Instructions burned: 20 (million)
% 0.22/0.51 % (1460)------------------------------
% 0.22/0.51 % (1460)------------------------------
% 0.22/0.51 % (1461)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.22/0.51 % (1461)Instruction limit reached!
% 0.22/0.51 % (1461)------------------------------
% 0.22/0.51 % (1461)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.51 % (1461)Termination reason: Unknown
% 0.22/0.51 % (1461)Termination phase: shuffling
% 0.22/0.51
% 0.22/0.51 % (1461)Memory used [KB]: 1279
% 0.22/0.51 % (1461)Time elapsed: 0.003 s
% 0.22/0.51 % (1461)Instructions burned: 4 (million)
% 0.22/0.51 % (1461)------------------------------
% 0.22/0.51 % (1461)------------------------------
% 0.22/0.51 % (1463)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.22/0.52 % (1464)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)
% 0.22/0.52 % (1463)Instruction limit reached!
% 0.22/0.52 % (1463)------------------------------
% 0.22/0.52 % (1463)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.52 % (1463)Termination reason: Unknown
% 0.22/0.52 % (1463)Termination phase: Property scanning
% 0.22/0.52
% 0.22/0.52 % (1463)Memory used [KB]: 1535
% 0.22/0.52 % (1463)Time elapsed: 0.011 s
% 0.22/0.52 % (1463)Instructions burned: 31 (million)
% 0.22/0.52 % (1463)------------------------------
% 0.22/0.52 % (1463)------------------------------
% 0.22/0.53 % (1465)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.22/0.55 % (1464)Instruction limit reached!
% 0.22/0.55 % (1464)------------------------------
% 0.22/0.55 % (1464)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.55 % (1464)Termination reason: Unknown
% 0.22/0.55 % (1464)Termination phase: Function definition elimination
% 0.22/0.55
% 0.22/0.55 % (1464)Memory used [KB]: 1791
% 0.22/0.55 % (1464)Time elapsed: 0.033 s
% 0.22/0.55 % (1464)Instructions burned: 128 (million)
% 0.22/0.55 % (1464)------------------------------
% 0.22/0.55 % (1464)------------------------------
% 0.22/0.56 % (1459)First to succeed.
% 0.22/0.56 % (1465)Instruction limit reached!
% 0.22/0.56 % (1465)------------------------------
% 0.22/0.56 % (1465)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.56 % (1465)Termination reason: Unknown
% 0.22/0.56 % (1465)Termination phase: Function definition elimination
% 0.22/0.56
% 0.22/0.56 % (1465)Memory used [KB]: 1918
% 0.22/0.56 % (1465)Time elapsed: 0.028 s
% 0.22/0.56 % (1465)Instructions burned: 104 (million)
% 0.22/0.56 % (1465)------------------------------
% 0.22/0.56 % (1465)------------------------------
% 0.22/0.56 % (1459)Refutation found. Thanks to Tanya!
% 0.22/0.56 % SZS status Theorem for theBenchmark
% 0.22/0.56 % SZS output start Proof for theBenchmark
% 0.22/0.56 thf(func_def_0, type, is_of: $i > ($i > $o) > $o).
% 0.22/0.56 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o).
% 0.22/0.56 thf(func_def_3, type, eps: ($i > $o) > $i).
% 0.22/0.56 thf(func_def_4, type, in: $i > $i > $o).
% 0.22/0.56 thf(func_def_5, type, d_Subq: $i > $i > $o).
% 0.22/0.56 thf(func_def_7, type, union: $i > $i).
% 0.22/0.56 thf(func_def_8, type, power: $i > $i).
% 0.22/0.56 thf(func_def_9, type, repl: $i > ($i > $i) > $i).
% 0.22/0.56 thf(func_def_10, type, d_Union_closed: $i > $o).
% 0.22/0.56 thf(func_def_11, type, d_Power_closed: $i > $o).
% 0.22/0.56 thf(func_def_12, type, d_Repl_closed: $i > $o).
% 0.22/0.56 thf(func_def_13, type, d_ZF_closed: $i > $o).
% 0.22/0.56 thf(func_def_14, type, univof: $i > $i).
% 0.22/0.56 thf(func_def_15, type, if: $o > $i > $i > $i).
% 0.22/0.56 thf(func_def_16, type, nIn: $i > $i > $o).
% 0.22/0.56 thf(func_def_17, type, d_UPair: $i > $i > $i).
% 0.22/0.56 thf(func_def_18, type, d_Sing: $i > $i).
% 0.22/0.56 thf(func_def_19, type, binunion: $i > $i > $i).
% 0.22/0.56 thf(func_def_20, type, famunion: $i > ($i > $i) > $i).
% 0.22/0.56 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i).
% 0.22/0.56 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
% 0.22/0.56 thf(func_def_23, type, setminus: $i > $i > $i).
% 0.22/0.56 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o).
% 0.22/0.56 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i).
% 0.22/0.56 thf(func_def_26, type, ordsucc: $i > $i).
% 0.22/0.56 thf(func_def_27, type, nat_p: $i > $o).
% 0.22/0.56 thf(func_def_29, type, d_Inj1: $i > $i).
% 0.22/0.56 thf(func_def_30, type, d_Inj0: $i > $i).
% 0.22/0.56 thf(func_def_31, type, d_Unj: $i > $i).
% 0.22/0.56 thf(func_def_32, type, pair: $i > $i > $i).
% 0.22/0.56 thf(func_def_33, type, proj0: $i > $i).
% 0.22/0.56 thf(func_def_34, type, proj1: $i > $i).
% 0.22/0.56 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i).
% 0.22/0.56 thf(func_def_36, type, setprod: $i > $i > $i).
% 0.22/0.56 thf(func_def_37, type, ap: $i > $i > $i).
% 0.22/0.56 thf(func_def_38, type, pair_p: $i > $o).
% 0.22/0.56 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i).
% 0.22/0.56 thf(func_def_40, type, imp: $o > $o > $o).
% 0.22/0.56 thf(func_def_41, type, d_not: $o > $o).
% 0.22/0.56 thf(func_def_42, type, wel: $o > $o).
% 0.22/0.56 thf(func_def_44, type, l_ec: $o > $o > $o).
% 0.22/0.56 thf(func_def_45, type, d_and: $o > $o > $o).
% 0.22/0.56 thf(func_def_46, type, l_or: $o > $o > $o).
% 0.22/0.56 thf(func_def_47, type, orec: $o > $o > $o).
% 0.22/0.56 thf(func_def_48, type, l_iff: $o > $o > $o).
% 0.22/0.56 thf(func_def_49, type, all: $i > ($i > $o) > $o).
% 0.22/0.56 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o).
% 0.22/0.56 thf(func_def_51, type, l_some: $i > ($i > $o) > $o).
% 0.22/0.56 thf(func_def_52, type, or3: $o > $o > $o > $o).
% 0.22/0.56 thf(func_def_53, type, and3: $o > $o > $o > $o).
% 0.22/0.56 thf(func_def_54, type, ec3: $o > $o > $o > $o).
% 0.22/0.56 thf(func_def_55, type, orec3: $o > $o > $o > $o).
% 0.22/0.56 thf(func_def_56, type, e_is: $i > $i > $i > $o).
% 0.22/0.56 thf(func_def_57, type, amone: $i > ($i > $o) > $o).
% 0.22/0.56 thf(func_def_58, type, one: $i > ($i > $o) > $o).
% 0.22/0.56 thf(func_def_59, type, ind: $i > ($i > $o) > $i).
% 0.22/0.56 thf(func_def_60, type, injective: $i > $i > $i > $o).
% 0.22/0.56 thf(func_def_61, type, image: $i > $i > $i > $i > $o).
% 0.22/0.56 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i).
% 0.22/0.56 thf(func_def_63, type, soft: $i > $i > $i > $i > $i).
% 0.22/0.56 thf(func_def_64, type, inverse: $i > $i > $i > $i).
% 0.22/0.56 thf(func_def_65, type, surjective: $i > $i > $i > $o).
% 0.22/0.56 thf(func_def_66, type, bijective: $i > $i > $i > $o).
% 0.22/0.56 thf(func_def_67, type, invf: $i > $i > $i > $i).
% 0.22/0.56 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i).
% 0.22/0.56 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i).
% 0.22/0.56 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i).
% 0.22/0.56 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i).
% 0.22/0.56 thf(func_def_72, type, first: $i > $i > $i > $i).
% 0.22/0.56 thf(func_def_73, type, second: $i > $i > $i > $i).
% 0.22/0.56 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o).
% 0.22/0.56 thf(func_def_75, type, ite: $o > $i > $i > $i > $i).
% 0.22/0.56 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i).
% 0.22/0.56 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i).
% 0.22/0.56 thf(func_def_78, type, wissel: $i > $i > $i > $i).
% 0.22/0.56 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i).
% 0.22/0.56 thf(func_def_80, type, r_ec: $o > $o > $o).
% 0.22/0.56 thf(func_def_81, type, esti: $i > $i > $i > $o).
% 0.22/0.56 thf(func_def_82, type, empty: $i > $i > $o).
% 0.22/0.56 thf(func_def_83, type, nonempty: $i > $i > $o).
% 0.22/0.56 thf(func_def_84, type, incl: $i > $i > $i > $o).
% 0.22/0.56 thf(func_def_85, type, st_disj: $i > $i > $i > $o).
% 0.22/0.56 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o).
% 0.22/0.56 thf(func_def_87, type, unmore: $i > $i > $i > $i).
% 0.22/0.56 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i).
% 0.22/0.56 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o).
% 0.22/0.56 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o).
% 0.22/0.56 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i).
% 0.22/0.56 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i).
% 0.22/0.56 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i).
% 0.22/0.56 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i).
% 0.22/0.56 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o).
% 0.22/0.56 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o).
% 0.22/0.56 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o).
% 0.22/0.56 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 0.22/0.56 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o).
% 0.22/0.56 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 0.22/0.56 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i).
% 0.22/0.56 thf(func_def_103, type, n_is: $i > $i > $o).
% 0.22/0.56 thf(func_def_104, type, nis: $i > $i > $o).
% 0.22/0.56 thf(func_def_105, type, n_in: $i > $i > $o).
% 0.22/0.56 thf(func_def_106, type, n_some: ($i > $o) > $o).
% 0.22/0.56 thf(func_def_107, type, n_all: ($i > $o) > $o).
% 0.22/0.56 thf(func_def_108, type, n_one: ($i > $o) > $o).
% 0.22/0.56 thf(func_def_110, type, cond1: $i > $o).
% 0.22/0.56 thf(func_def_111, type, cond2: $i > $o).
% 0.22/0.56 thf(func_def_112, type, i1_s: ($i > $o) > $i).
% 0.22/0.56 thf(func_def_113, type, d_22_prop1: $i > $o).
% 0.22/0.56 thf(func_def_114, type, d_23_prop1: $i > $o).
% 0.22/0.56 thf(func_def_115, type, d_24_prop1: $i > $o).
% 0.22/0.56 thf(func_def_116, type, d_24_prop2: $i > $i > $o).
% 0.22/0.56 thf(func_def_117, type, prop3: $i > $i > $i > $o).
% 0.22/0.56 thf(func_def_118, type, prop4: $i > $o).
% 0.22/0.56 thf(func_def_119, type, d_24_g: $i > $i).
% 0.22/0.56 thf(func_def_120, type, plus: $i > $i).
% 0.22/0.56 thf(func_def_121, type, n_pl: $i > $i > $i).
% 0.22/0.56 thf(func_def_122, type, d_25_prop1: $i > $i > $i > $o).
% 0.22/0.56 thf(func_def_123, type, d_26_prop1: $i > $i > $o).
% 0.22/0.56 thf(func_def_124, type, d_27_prop1: $i > $i > $o).
% 0.22/0.56 thf(func_def_125, type, d_28_prop1: $i > $i > $i > $o).
% 0.22/0.56 thf(func_def_126, type, diffprop: $i > $i > $i > $o).
% 0.22/0.56 thf(func_def_127, type, d_29_ii: $i > $i > $o).
% 0.22/0.56 thf(func_def_128, type, iii: $i > $i > $o).
% 0.22/0.56 thf(func_def_129, type, d_29_prop1: $i > $i > $o).
% 0.22/0.56 thf(func_def_130, type, moreis: $i > $i > $o).
% 0.22/0.56 thf(func_def_131, type, lessis: $i > $i > $o).
% 0.22/0.56 thf(func_def_150, type, sK0: ($i > $o) > $i).
% 0.22/0.56 thf(func_def_152, type, sK2: $i > $i > $i > $i > $i).
% 0.22/0.56 thf(func_def_155, type, ph5: !>[X0: $tType]:(X0)).
% 0.22/0.56 thf(f1405,plain,(
% 0.22/0.56 $false),
% 0.22/0.56 inference(trivial_inequality_removal,[],[f1404])).
% 0.22/0.56 thf(f1404,plain,(
% 0.22/0.56 ($true = $false)),
% 0.22/0.56 inference(forward_demodulation,[],[f1403,f1064])).
% 0.22/0.56 thf(f1064,plain,(
% 0.22/0.56 ((n_some @ (diffprop @ sK4 @ sK3)) = $false)),
% 0.22/0.56 inference(trivial_inequality_removal,[],[f1063])).
% 0.22/0.56 thf(f1063,plain,(
% 0.22/0.56 ($true = $false) | ((n_some @ (diffprop @ sK4 @ sK3)) = $false)),
% 0.22/0.56 inference(forward_demodulation,[],[f1059,f957])).
% 0.22/0.56 thf(f957,plain,(
% 0.22/0.56 ((iii @ sK3 @ sK4) = $false)),
% 0.22/0.56 inference(not_proxy_clausification,[],[f956])).
% 0.22/0.56 thf(f956,plain,(
% 0.22/0.56 ($true = (~ (iii @ sK3 @ sK4)))),
% 0.22/0.56 inference(binary_proxy_clausification,[],[f954])).
% 0.22/0.56 thf(f954,plain,(
% 0.22/0.56 (((~ (iii @ sK3 @ sK4)) => (n_is @ sK3 @ sK4)) = $false)),
% 0.22/0.56 inference(not_proxy_clausification,[],[f953])).
% 0.22/0.56 thf(f953,plain,(
% 0.22/0.56 ((~ ((~ (iii @ sK3 @ sK4)) => (n_is @ sK3 @ sK4))) = $true)),
% 0.22/0.56 inference(binary_proxy_clausification,[],[f950])).
% 0.22/0.56 thf(f950,plain,(
% 0.22/0.56 (((~ ((~ (iii @ sK3 @ sK4)) => (n_is @ sK3 @ sK4))) => (n_some @ (diffprop @ sK3 @ sK4))) = $false)),
% 0.22/0.56 inference(binary_proxy_clausification,[],[f949])).
% 0.22/0.56 thf(f949,plain,(
% 0.22/0.56 (((is_of @ sK4 @ (^[Y0 : $i]: (in @ Y0 @ nat))) => ((~ ((~ (iii @ sK3 @ sK4)) => (n_is @ sK3 @ sK4))) => (n_some @ (diffprop @ sK3 @ sK4)))) = $false)),
% 0.22/0.56 inference(beta_eta_normalization,[],[f948])).
% 0.22/0.56 thf(f948,plain,(
% 0.22/0.56 (((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((~ ((~ (iii @ sK3 @ Y0)) => (n_is @ sK3 @ Y0))) => (n_some @ (diffprop @ sK3 @ Y0))))) @ sK4) = $false)),
% 0.22/0.56 inference(sigma_clausification,[],[f946])).
% 0.22/0.56 thf(f946,plain,(
% 0.22/0.56 ((!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((~ ((~ (iii @ sK3 @ Y0)) => (n_is @ sK3 @ Y0))) => (n_some @ (diffprop @ sK3 @ Y0)))))) = $false)),
% 0.22/0.56 inference(binary_proxy_clausification,[],[f945])).
% 0.22/0.56 thf(f945,plain,(
% 0.22/0.56 (((is_of @ sK3 @ (^[Y0 : $i]: (in @ Y0 @ nat))) => (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((~ ((~ (iii @ sK3 @ Y0)) => (n_is @ sK3 @ Y0))) => (n_some @ (diffprop @ sK3 @ Y0))))))) = $false)),
% 0.22/0.56 inference(beta_eta_normalization,[],[f944])).
% 0.22/0.56 thf(f944,plain,(
% 0.22/0.56 (((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => ((~ ((~ (iii @ Y0 @ Y1)) => (n_is @ Y0 @ Y1))) => (n_some @ (diffprop @ Y0 @ Y1)))))))) @ sK3) = $false)),
% 0.22/0.56 inference(sigma_clausification,[],[f943])).
% 0.22/0.56 thf(f943,plain,(
% 0.22/0.56 ($true != (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => ((~ ((~ (iii @ Y0 @ Y1)) => (n_is @ Y0 @ Y1))) => (n_some @ (diffprop @ Y0 @ Y1))))))))))),
% 0.22/0.56 inference(boolean_simplification,[],[f942])).
% 0.22/0.56 thf(f942,plain,(
% 0.22/0.56 ((!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => ((~ (((iii @ Y0 @ Y1) => $false) => (n_is @ Y0 @ Y1))) => (n_some @ (diffprop @ Y0 @ Y1))))))))) != $true)),
% 0.22/0.56 inference(boolean_simplification,[],[f941])).
% 0.22/0.56 thf(f941,plain,(
% 0.22/0.56 ($true != (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => (((((iii @ Y0 @ Y1) => $false) => (n_is @ Y0 @ Y1)) => $false) => (n_some @ (diffprop @ Y0 @ Y1))))))))))),
% 0.22/0.56 inference(beta_eta_normalization,[],[f658])).
% 0.22/0.56 thf(f658,plain,(
% 0.22/0.56 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: ((is_of @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ Y2 @ $false)) @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: (Y6 => Y7)))) @ Y5 @ $false)) @ Y4))) @ (iii @ Y2 @ Y3) @ (n_is @ Y2 @ Y3))))) @ Y0 @ Y1)) => ((^[Y2 : $i]: ((^[Y3 : $i]: (n_some @ (diffprop @ Y2 @ Y3))))) @ Y0 @ Y1)))))) != $true)),
% 0.22/0.56 inference(definition_unfolding,[],[f610,f581,f581,f624,f627,f603])).
% 0.22/0.56 thf(f603,plain,(
% 0.22/0.56 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y0 @ Y1))))))),
% 0.22/0.56 inference(cnf_transformation,[],[f257])).
% 0.22/0.56 thf(f257,plain,(
% 0.22/0.56 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y0 @ Y1))))))),
% 0.22/0.56 inference(fool_elimination,[],[f205])).
% 0.22/0.56 thf(f205,axiom,(
% 0.22/0.56 (d_29_ii = (^[X0 : $i, X1 : $i] : (n_some @ (diffprop @ X0 @ X1))))),
% 0.22/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_d_29_ii)).
% 0.22/0.56 thf(f627,plain,(
% 0.22/0.56 (lessis = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ ((^[Y3 : $o]: ((^[Y4 : $o]: ((^[Y5 : $o]: (Y4 => Y5)))) @ Y3 @ $false)) @ Y2))) @ (iii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 0.22/0.56 inference(definition_unfolding,[],[f611,f625])).
% 0.22/0.56 thf(f625,plain,(
% 0.22/0.56 (l_or = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: (Y1 => Y2)))) @ ((^[Y1 : $o]: ((^[Y2 : $o]: ((^[Y3 : $o]: (Y2 => Y3)))) @ Y1 @ $false)) @ Y0))))),
% 0.22/0.56 inference(definition_unfolding,[],[f566,f591,f624])).
% 0.22/0.56 thf(f591,plain,(
% 0.22/0.56 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))),
% 0.22/0.56 inference(cnf_transformation,[],[f439])).
% 0.22/0.56 thf(f439,plain,(
% 0.22/0.56 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))),
% 0.22/0.56 inference(fool_elimination,[],[f438])).
% 0.22/0.56 thf(f438,plain,(
% 0.22/0.56 ((^[X0 : $o, X1 : $o] : (X0 => X1)) = imp)),
% 0.22/0.56 inference(rectify,[],[f74])).
% 0.22/0.56 thf(f74,axiom,(
% 0.22/0.56 ((^[X0 : $o, X1 : $o] : (X0 => X1)) = imp)),
% 0.22/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_imp)).
% 0.22/0.56 thf(f566,plain,(
% 0.22/0.56 (l_or = (^[Y0 : $o]: (imp @ (d_not @ Y0))))),
% 0.22/0.56 inference(cnf_transformation,[],[f254])).
% 0.22/0.56 thf(f254,plain,(
% 0.22/0.56 (l_or = (^[Y0 : $o]: (imp @ (d_not @ Y0))))),
% 0.22/0.56 inference(fool_elimination,[],[f81])).
% 0.22/0.56 thf(f81,axiom,(
% 0.22/0.56 ((^[X0 : $o] : (imp @ (d_not @ X0))) = l_or)),
% 0.22/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_l_or)).
% 0.22/0.56 thf(f611,plain,(
% 0.22/0.56 (lessis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (iii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 0.22/0.56 inference(cnf_transformation,[],[f262])).
% 0.22/0.56 thf(f262,plain,(
% 0.22/0.56 (lessis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (iii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 0.22/0.56 inference(fool_elimination,[],[f217])).
% 0.22/0.56 thf(f217,axiom,(
% 0.22/0.56 ((^[X0 : $i, X1 : $i] : (l_or @ (iii @ X0 @ X1) @ (n_is @ X0 @ X1))) = lessis)),
% 0.22/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_lessis)).
% 0.22/0.56 thf(f624,plain,(
% 0.22/0.56 (d_not = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: (Y1 => Y2)))) @ Y0 @ $false)))),
% 0.22/0.56 inference(definition_unfolding,[],[f576,f591])).
% 0.22/0.56 thf(f576,plain,(
% 0.22/0.56 (d_not = (^[Y0 : $o]: (imp @ Y0 @ $false)))),
% 0.22/0.56 inference(cnf_transformation,[],[f239])).
% 0.22/0.56 thf(f239,plain,(
% 0.22/0.56 (d_not = (^[Y0 : $o]: (imp @ Y0 @ $false)))),
% 0.22/0.56 inference(fool_elimination,[],[f75])).
% 0.22/0.56 thf(f75,axiom,(
% 0.22/0.56 (d_not = (^[X0 : $o] : (imp @ X0 @ $false)))),
% 0.22/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_d_not)).
% 0.22/0.56 thf(f581,plain,(
% 0.22/0.56 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 0.22/0.56 inference(cnf_transformation,[],[f264])).
% 0.22/0.56 thf(f264,plain,(
% 0.22/0.56 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 0.22/0.56 inference(fool_elimination,[],[f263])).
% 0.22/0.56 thf(f263,plain,(
% 0.22/0.56 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)),
% 0.22/0.56 inference(rectify,[],[f2])).
% 0.22/0.56 thf(f2,axiom,(
% 0.22/0.56 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)),
% 0.22/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_all_of)).
% 0.22/0.56 thf(f610,plain,(
% 0.22/0.56 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (lessis @ Y0 @ Y1)) => (d_29_ii @ Y0 @ Y1)))))) != $true)),
% 0.22/0.56 inference(cnf_transformation,[],[f561])).
% 0.22/0.56 thf(f561,plain,(
% 0.22/0.56 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (lessis @ Y0 @ Y1)) => (d_29_ii @ Y0 @ Y1)))))) != $true)),
% 0.22/0.56 inference(flattening,[],[f520])).
% 0.22/0.56 thf(f520,plain,(
% 0.22/0.56 ~((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (lessis @ Y0 @ Y1)) => (d_29_ii @ Y0 @ Y1)))))) = $true)),
% 0.22/0.56 inference(fool_elimination,[],[f519])).
% 0.22/0.56 thf(f519,plain,(
% 0.22/0.56 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((d_not @ (lessis @ X1 @ X3)) => (d_29_ii @ X1 @ X3))))))),
% 0.22/0.56 inference(rectify,[],[f228])).
% 0.22/0.56 thf(f228,negated_conjecture,(
% 0.22/0.56 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((d_not @ (lessis @ X0 @ X1)) => (d_29_ii @ X0 @ X1))))))),
% 0.22/0.56 inference(negated_conjecture,[],[f227])).
% 0.22/0.56 thf(f227,conjecture,(
% 0.22/0.56 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((d_not @ (lessis @ X0 @ X1)) => (d_29_ii @ X0 @ X1))))))),
% 0.22/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz10k)).
% 0.22/0.56 thf(f1059,plain,(
% 0.22/0.56 ((n_some @ (diffprop @ sK4 @ sK3)) = $false) | ($true = (iii @ sK3 @ sK4))),
% 0.22/0.56 inference(trivial_inequality_removal,[],[f1054])).
% 0.22/0.56 thf(f1054,plain,(
% 0.22/0.56 ($true = (iii @ sK3 @ sK4)) | ((n_some @ (diffprop @ sK4 @ sK3)) = $false) | ($true = $false)),
% 0.22/0.56 inference(superposition,[],[f1002,f951])).
% 0.22/0.56 thf(f951,plain,(
% 0.22/0.56 ((is_of @ sK4 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $true)),
% 0.22/0.56 inference(binary_proxy_clausification,[],[f949])).
% 0.22/0.56 thf(f1002,plain,(
% 0.22/0.56 ( ! [X0 : $i] : (($false = (is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ nat)))) | ((n_some @ (diffprop @ X0 @ sK3)) = $false) | ((iii @ sK3 @ X0) = $true)) )),
% 0.22/0.56 inference(trivial_inequality_removal,[],[f998])).
% 0.22/0.56 thf(f998,plain,(
% 0.22/0.56 ( ! [X0 : $i] : (($false = (is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ nat)))) | ((iii @ sK3 @ X0) = $true) | ($true = $false) | ((n_some @ (diffprop @ X0 @ sK3)) = $false)) )),
% 0.22/0.56 inference(superposition,[],[f841,f947])).
% 0.22/0.56 thf(f947,plain,(
% 0.22/0.56 ((is_of @ sK3 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $true)),
% 0.22/0.56 inference(binary_proxy_clausification,[],[f945])).
% 0.22/0.56 thf(f841,plain,(
% 0.22/0.56 ( ! [X2 : $i,X1 : $i] : (((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ((n_some @ (diffprop @ X1 @ X2)) = $false) | ((iii @ X2 @ X1) = $true) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )),
% 0.22/0.56 inference(binary_proxy_clausification,[],[f840])).
% 0.22/0.56 thf(f840,plain,(
% 0.22/0.56 ( ! [X2 : $i,X1 : $i] : (((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | (((n_some @ (diffprop @ X1 @ X2)) => (iii @ X2 @ X1)) = $true)) )),
% 0.22/0.56 inference(binary_proxy_clausification,[],[f839])).
% 0.22/0.56 thf(f839,plain,(
% 0.22/0.56 ( ! [X2 : $i,X1 : $i] : (((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ($true = ((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) => ((n_some @ (diffprop @ X1 @ X2)) => (iii @ X2 @ X1))))) )),
% 0.22/0.56 inference(beta_eta_normalization,[],[f838])).
% 0.22/0.56 thf(f838,plain,(
% 0.22/0.56 ( ! [X2 : $i,X1 : $i] : (((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ($true = ((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((n_some @ (diffprop @ X1 @ Y0)) => (iii @ Y0 @ X1)))) @ X2))) )),
% 0.22/0.56 inference(pi_clausification,[],[f837])).
% 0.22/0.56 thf(f837,plain,(
% 0.22/0.56 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((n_some @ (diffprop @ X1 @ Y0)) => (iii @ Y0 @ X1)))))) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )),
% 0.22/0.56 inference(binary_proxy_clausification,[],[f836])).
% 0.22/0.56 thf(f836,plain,(
% 0.22/0.56 ( ! [X1 : $i] : ((((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) => (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((n_some @ (diffprop @ X1 @ Y0)) => (iii @ Y0 @ X1)))))) = $true)) )),
% 0.22/0.56 inference(beta_eta_normalization,[],[f835])).
% 0.22/0.56 thf(f835,plain,(
% 0.22/0.56 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => ((n_some @ (diffprop @ Y0 @ Y1)) => (iii @ Y1 @ Y0))))))) @ X1) = $true)) )),
% 0.22/0.56 inference(pi_clausification,[],[f834])).
% 0.22/0.56 thf(f834,plain,(
% 0.22/0.56 ($true = (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => ((n_some @ (diffprop @ Y0 @ Y1)) => (iii @ Y1 @ Y0)))))))))),
% 0.22/0.56 inference(beta_eta_normalization,[],[f645])).
% 0.22/0.56 thf(f645,plain,(
% 0.22/0.56 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: ((is_of @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (((^[Y2 : $i]: ((^[Y3 : $i]: (n_some @ (diffprop @ Y2 @ Y3))))) @ Y0 @ Y1) => (iii @ Y1 @ Y0)))))) = $true)),
% 0.22/0.56 inference(definition_unfolding,[],[f578,f581,f581,f603])).
% 0.22/0.56 thf(f578,plain,(
% 0.22/0.56 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_29_ii @ Y0 @ Y1) => (iii @ Y1 @ Y0)))))))),
% 0.22/0.56 inference(cnf_transformation,[],[f423])).
% 0.22/0.56 thf(f423,plain,(
% 0.22/0.56 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_29_ii @ Y0 @ Y1) => (iii @ Y1 @ Y0)))))))),
% 0.22/0.56 inference(fool_elimination,[],[f422])).
% 0.22/0.56 thf(f422,plain,(
% 0.22/0.56 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((d_29_ii @ X1 @ X3) => (iii @ X3 @ X1))))))),
% 0.22/0.56 inference(rectify,[],[f214])).
% 0.22/0.56 thf(f214,axiom,(
% 0.22/0.56 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((d_29_ii @ X0 @ X1) => (iii @ X1 @ X0))))))),
% 0.22/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz11)).
% 0.22/0.56 thf(f1403,plain,(
% 0.22/0.56 ((n_some @ (diffprop @ sK4 @ sK3)) = $true)),
% 0.22/0.56 inference(trivial_inequality_removal,[],[f1402])).
% 0.22/0.56 thf(f1402,plain,(
% 0.22/0.56 ((n_some @ (diffprop @ sK4 @ sK3)) = $true) | ($true = $false)),
% 0.22/0.56 inference(forward_demodulation,[],[f1401,f1316])).
% 0.22/0.56 thf(f1316,plain,(
% 0.22/0.56 ((n_is @ sK4 @ sK3) = $false)),
% 0.22/0.56 inference(trivial_inequality_removal,[],[f1315])).
% 0.22/0.56 thf(f1315,plain,(
% 0.22/0.56 ((n_is @ sK4 @ sK3) = $false) | ($true = $false)),
% 0.22/0.56 inference(forward_demodulation,[],[f1314,f957])).
% 0.22/0.56 thf(f1314,plain,(
% 0.22/0.56 ($true = (iii @ sK3 @ sK4)) | ((n_is @ sK4 @ sK3) = $false)),
% 0.22/0.56 inference(trivial_inequality_removal,[],[f1313])).
% 0.22/0.56 thf(f1313,plain,(
% 0.22/0.56 ($true = $false) | ($true = (iii @ sK3 @ sK4)) | ((n_is @ sK4 @ sK3) = $false)),
% 0.22/0.56 inference(forward_demodulation,[],[f1296,f955])).
% 0.22/0.56 thf(f955,plain,(
% 0.22/0.56 ((n_is @ sK3 @ sK4) = $false)),
% 0.22/0.56 inference(binary_proxy_clausification,[],[f954])).
% 0.22/0.56 thf(f1296,plain,(
% 0.22/0.56 ((n_is @ sK4 @ sK3) = $false) | ((n_is @ sK3 @ sK4) = $true) | ($true = (iii @ sK3 @ sK4))),
% 0.22/0.56 inference(trivial_inequality_removal,[],[f1292])).
% 0.22/0.56 thf(f1292,plain,(
% 0.22/0.56 ($true = (iii @ sK3 @ sK4)) | ($true = $false) | ((n_is @ sK4 @ sK3) = $false) | ((n_is @ sK3 @ sK4) = $true)),
% 0.22/0.56 inference(superposition,[],[f1145,f951])).
% 0.22/0.56 thf(f1145,plain,(
% 0.22/0.56 ( ! [X0 : $i] : (($false = (is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ nat)))) | ((iii @ sK3 @ X0) = $true) | ((n_is @ sK3 @ X0) = $true) | ((n_is @ X0 @ sK3) = $false)) )),
% 0.22/0.56 inference(trivial_inequality_removal,[],[f1138])).
% 0.22/0.56 thf(f1138,plain,(
% 0.22/0.56 ( ! [X0 : $i] : (((iii @ sK3 @ X0) = $true) | ((n_is @ X0 @ sK3) = $false) | ((n_is @ sK3 @ X0) = $true) | ($true = $false) | ($false = (is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ nat))))) )),
% 0.22/0.56 inference(superposition,[],[f806,f947])).
% 0.22/0.56 thf(f806,plain,(
% 0.22/0.56 ( ! [X2 : $i,X1 : $i] : (((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ((n_is @ X1 @ X2) = $false) | ((n_is @ X2 @ X1) = $true) | ((iii @ X2 @ X1) = $true) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )),
% 0.22/0.56 inference(binary_proxy_clausification,[],[f805])).
% 0.22/0.56 thf(f805,plain,(
% 0.22/0.56 ( ! [X2 : $i,X1 : $i] : (((n_is @ X2 @ X1) = $true) | (((~ (n_some @ (diffprop @ X1 @ X2))) => (n_is @ X1 @ X2)) = $false) | ((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ((iii @ X2 @ X1) = $true) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )),
% 0.22/0.56 inference(not_proxy_clausification,[],[f804])).
% 0.22/0.56 thf(f804,plain,(
% 0.22/0.56 ( ! [X2 : $i,X1 : $i] : (((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ((n_is @ X2 @ X1) = $true) | ((~ (iii @ X2 @ X1)) = $false) | (((~ (n_some @ (diffprop @ X1 @ X2))) => (n_is @ X1 @ X2)) = $false)) )),
% 0.22/0.56 inference(binary_proxy_clausification,[],[f803])).
% 0.22/0.56 thf(f803,plain,(
% 0.22/0.56 ( ! [X2 : $i,X1 : $i] : (((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ($true = ((~ (iii @ X2 @ X1)) => (n_is @ X2 @ X1))) | (((~ (n_some @ (diffprop @ X1 @ X2))) => (n_is @ X1 @ X2)) = $false)) )),
% 0.22/0.56 inference(binary_proxy_clausification,[],[f802])).
% 0.22/0.56 thf(f802,plain,(
% 0.22/0.56 ( ! [X2 : $i,X1 : $i] : (((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ((((~ (n_some @ (diffprop @ X1 @ X2))) => (n_is @ X1 @ X2)) => ((~ (iii @ X2 @ X1)) => (n_is @ X2 @ X1))) = $true) | ((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )),
% 0.22/0.56 inference(binary_proxy_clausification,[],[f801])).
% 0.22/0.56 thf(f801,plain,(
% 0.22/0.56 ( ! [X2 : $i,X1 : $i] : (($true = ((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) => (((~ (n_some @ (diffprop @ X1 @ X2))) => (n_is @ X1 @ X2)) => ((~ (iii @ X2 @ X1)) => (n_is @ X2 @ X1))))) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )),
% 0.22/0.56 inference(beta_eta_normalization,[],[f800])).
% 0.22/0.56 thf(f800,plain,(
% 0.22/0.56 ( ! [X2 : $i,X1 : $i] : (((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ($true = ((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (((~ (n_some @ (diffprop @ X1 @ Y0))) => (n_is @ X1 @ Y0)) => ((~ (iii @ Y0 @ X1)) => (n_is @ Y0 @ X1))))) @ X2))) )),
% 0.22/0.56 inference(pi_clausification,[],[f799])).
% 0.22/0.56 thf(f799,plain,(
% 0.22/0.56 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (((~ (n_some @ (diffprop @ X1 @ Y0))) => (n_is @ X1 @ Y0)) => ((~ (iii @ Y0 @ X1)) => (n_is @ Y0 @ X1))))))) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )),
% 0.22/0.56 inference(binary_proxy_clausification,[],[f798])).
% 0.22/0.56 thf(f798,plain,(
% 0.22/0.56 ( ! [X1 : $i] : ((((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) => (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (((~ (n_some @ (diffprop @ X1 @ Y0))) => (n_is @ X1 @ Y0)) => ((~ (iii @ Y0 @ X1)) => (n_is @ Y0 @ X1))))))) = $true)) )),
% 0.22/0.56 inference(beta_eta_normalization,[],[f797])).
% 0.22/0.56 thf(f797,plain,(
% 0.22/0.56 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => (((~ (n_some @ (diffprop @ Y0 @ Y1))) => (n_is @ Y0 @ Y1)) => ((~ (iii @ Y1 @ Y0)) => (n_is @ Y1 @ Y0)))))))) @ X1))) )),
% 0.22/0.56 inference(pi_clausification,[],[f796])).
% 0.22/0.56 thf(f796,plain,(
% 0.22/0.56 ((!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => (((~ (n_some @ (diffprop @ Y0 @ Y1))) => (n_is @ Y0 @ Y1)) => ((~ (iii @ Y1 @ Y0)) => (n_is @ Y1 @ Y0))))))))) = $true)),
% 0.22/0.56 inference(boolean_simplification,[],[f795])).
% 0.22/0.56 thf(f795,plain,(
% 0.22/0.56 ($true = (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => ((((n_some @ (diffprop @ Y0 @ Y1)) => $false) => (n_is @ Y0 @ Y1)) => ((~ (iii @ Y1 @ Y0)) => (n_is @ Y1 @ Y0))))))))))),
% 0.22/0.56 inference(boolean_simplification,[],[f794])).
% 0.22/0.56 thf(f794,plain,(
% 0.22/0.56 ($true = (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => ((((n_some @ (diffprop @ Y0 @ Y1)) => $false) => (n_is @ Y0 @ Y1)) => (((iii @ Y1 @ Y0) => $false) => (n_is @ Y1 @ Y0))))))))))),
% 0.22/0.56 inference(beta_eta_normalization,[],[f652])).
% 0.22/0.56 thf(f652,plain,(
% 0.22/0.56 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: ((is_of @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (((^[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]: (n_some @ (diffprop @ Y4 @ Y5))))) @ Y2 @ Y3) @ (n_is @ Y2 @ Y3))))) @ 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))) @ (iii @ Y2 @ Y3) @ (n_is @ Y2 @ Y3))))) @ Y1 @ Y0)))))) = $true)),
% 0.22/0.56 inference(definition_unfolding,[],[f596,f581,f581,f626,f627])).
% 0.22/0.56 thf(f626,plain,(
% 0.22/0.56 (moreis = (^[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]: (n_some @ (diffprop @ Y2 @ Y3))))) @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 0.22/0.56 inference(definition_unfolding,[],[f594,f625,f603])).
% 0.22/0.56 thf(f594,plain,(
% 0.22/0.56 (moreis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (d_29_ii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 0.22/0.56 inference(cnf_transformation,[],[f249])).
% 0.22/0.56 thf(f249,plain,(
% 0.22/0.56 (moreis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (d_29_ii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 0.22/0.56 inference(fool_elimination,[],[f216])).
% 0.22/0.56 thf(f216,axiom,(
% 0.22/0.56 ((^[X0 : $i, X1 : $i] : (l_or @ (d_29_ii @ X0 @ X1) @ (n_is @ X0 @ X1))) = moreis)),
% 0.22/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_moreis)).
% 0.22/0.56 thf(f596,plain,(
% 0.22/0.56 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((moreis @ Y0 @ Y1) => (lessis @ Y1 @ Y0)))))) = $true)),
% 0.22/0.56 inference(cnf_transformation,[],[f351])).
% 0.22/0.56 thf(f351,plain,(
% 0.22/0.56 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((moreis @ Y0 @ Y1) => (lessis @ Y1 @ Y0)))))) = $true)),
% 0.22/0.56 inference(fool_elimination,[],[f350])).
% 0.22/0.56 thf(f350,plain,(
% 0.22/0.56 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((moreis @ X1 @ X3) => (lessis @ X3 @ X1))))))),
% 0.22/0.56 inference(rectify,[],[f218])).
% 0.22/0.56 thf(f218,axiom,(
% 0.22/0.56 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((moreis @ X0 @ X1) => (lessis @ X1 @ X0))))))),
% 0.22/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz13)).
% 0.22/0.56 thf(f1401,plain,(
% 0.22/0.56 ($true = (n_is @ sK4 @ sK3)) | ((n_some @ (diffprop @ sK4 @ sK3)) = $true)),
% 0.22/0.56 inference(trivial_inequality_removal,[],[f1400])).
% 0.22/0.56 thf(f1400,plain,(
% 0.22/0.56 ($true = $false) | ((n_some @ (diffprop @ sK4 @ sK3)) = $true) | ($true = (n_is @ sK4 @ sK3))),
% 0.22/0.56 inference(forward_demodulation,[],[f1383,f1042])).
% 0.22/0.56 thf(f1042,plain,(
% 0.22/0.56 ($false = (iii @ sK4 @ sK3))),
% 0.22/0.56 inference(trivial_inequality_removal,[],[f1041])).
% 0.22/0.56 thf(f1041,plain,(
% 0.22/0.56 ($true = $false) | ($false = (iii @ sK4 @ sK3))),
% 0.22/0.56 inference(forward_demodulation,[],[f1040,f952])).
% 0.22/0.56 thf(f952,plain,(
% 0.22/0.56 ($false = (n_some @ (diffprop @ sK3 @ sK4)))),
% 0.22/0.56 inference(binary_proxy_clausification,[],[f950])).
% 0.22/0.56 thf(f1040,plain,(
% 0.22/0.56 ($true = (n_some @ (diffprop @ sK3 @ sK4))) | ($false = (iii @ sK4 @ sK3))),
% 0.22/0.56 inference(trivial_inequality_removal,[],[f1036])).
% 0.22/0.56 thf(f1036,plain,(
% 0.22/0.56 ($false = (iii @ sK4 @ sK3)) | ($true = $false) | ($true = (n_some @ (diffprop @ sK3 @ sK4)))),
% 0.22/0.56 inference(superposition,[],[f951,f996])).
% 0.22/0.56 thf(f996,plain,(
% 0.22/0.56 ( ! [X0 : $i] : (($false = (is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ nat)))) | ($true = (n_some @ (diffprop @ sK3 @ X0))) | ($false = (iii @ X0 @ sK3))) )),
% 0.22/0.56 inference(trivial_inequality_removal,[],[f993])).
% 0.22/0.56 thf(f993,plain,(
% 0.22/0.56 ( ! [X0 : $i] : (($true = (n_some @ (diffprop @ sK3 @ X0))) | ($false = (iii @ X0 @ sK3)) | ($true = $false) | ($false = (is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ nat))))) )),
% 0.22/0.56 inference(superposition,[],[f947,f833])).
% 0.22/0.56 thf(f833,plain,(
% 0.22/0.56 ( ! [X2 : $i,X1 : $i] : (((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ((n_some @ (diffprop @ X2 @ X1)) = $true) | ((iii @ X1 @ X2) = $false) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )),
% 0.22/0.56 inference(binary_proxy_clausification,[],[f832])).
% 0.22/0.56 thf(f832,plain,(
% 0.22/0.56 ( ! [X2 : $i,X1 : $i] : (((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ($true = ((iii @ X1 @ X2) => (n_some @ (diffprop @ X2 @ X1))))) )),
% 0.22/0.56 inference(binary_proxy_clausification,[],[f831])).
% 0.22/0.56 thf(f831,plain,(
% 0.22/0.56 ( ! [X2 : $i,X1 : $i] : ((((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) => ((iii @ X1 @ X2) => (n_some @ (diffprop @ X2 @ X1)))) = $true) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )),
% 0.22/0.56 inference(beta_eta_normalization,[],[f830])).
% 0.22/0.56 thf(f830,plain,(
% 0.22/0.56 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((iii @ X1 @ Y0) => (n_some @ (diffprop @ Y0 @ X1))))) @ X2)) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )),
% 0.22/0.56 inference(pi_clausification,[],[f829])).
% 0.22/0.56 thf(f829,plain,(
% 0.22/0.56 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((iii @ X1 @ Y0) => (n_some @ (diffprop @ Y0 @ X1))))))) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )),
% 0.22/0.56 inference(binary_proxy_clausification,[],[f828])).
% 0.22/0.56 thf(f828,plain,(
% 0.22/0.56 ( ! [X1 : $i] : ((((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) => (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((iii @ X1 @ Y0) => (n_some @ (diffprop @ Y0 @ X1))))))) = $true)) )),
% 0.22/0.56 inference(beta_eta_normalization,[],[f827])).
% 0.22/0.56 thf(f827,plain,(
% 0.22/0.56 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => ((iii @ Y0 @ Y1) => (n_some @ (diffprop @ Y1 @ Y0)))))))) @ X1) = $true)) )),
% 0.22/0.56 inference(pi_clausification,[],[f826])).
% 0.22/0.56 thf(f826,plain,(
% 0.22/0.56 ((!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => ((iii @ Y0 @ Y1) => (n_some @ (diffprop @ Y1 @ Y0))))))))) = $true)),
% 0.22/0.56 inference(beta_eta_normalization,[],[f654])).
% 0.22/0.56 thf(f654,plain,(
% 0.22/0.56 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: ((is_of @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((iii @ Y0 @ Y1) => ((^[Y2 : $i]: ((^[Y3 : $i]: (n_some @ (diffprop @ Y2 @ Y3))))) @ Y1 @ Y0)))))) = $true)),
% 0.22/0.56 inference(definition_unfolding,[],[f604,f581,f581,f603])).
% 0.22/0.56 thf(f604,plain,(
% 0.22/0.56 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((iii @ Y0 @ Y1) => (d_29_ii @ Y1 @ Y0)))))))),
% 0.22/0.56 inference(cnf_transformation,[],[f330])).
% 0.22/0.56 thf(f330,plain,(
% 0.22/0.56 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((iii @ Y0 @ Y1) => (d_29_ii @ Y1 @ Y0)))))))),
% 0.22/0.56 inference(fool_elimination,[],[f329])).
% 0.22/0.56 thf(f329,plain,(
% 0.22/0.56 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((iii @ X1 @ X3) => (d_29_ii @ X3 @ X1))))))),
% 0.22/0.56 inference(rectify,[],[f215])).
% 0.22/0.56 thf(f215,axiom,(
% 0.22/0.56 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((iii @ X0 @ X1) => (d_29_ii @ X1 @ X0))))))),
% 0.22/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz12)).
% 0.22/0.56 thf(f1383,plain,(
% 0.22/0.56 ($true = (iii @ sK4 @ sK3)) | ((n_some @ (diffprop @ sK4 @ sK3)) = $true) | ($true = (n_is @ sK4 @ sK3))),
% 0.22/0.56 inference(trivial_inequality_removal,[],[f1381])).
% 0.22/0.56 thf(f1381,plain,(
% 0.22/0.56 ($true = $false) | ($true = (n_is @ sK4 @ sK3)) | ((n_some @ (diffprop @ sK4 @ sK3)) = $true) | ($true = (iii @ sK4 @ sK3))),
% 0.22/0.56 inference(superposition,[],[f951,f1177])).
% 0.22/0.56 thf(f1177,plain,(
% 0.22/0.56 ( ! [X0 : $i] : (($false = (is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ nat)))) | ((n_some @ (diffprop @ X0 @ sK3)) = $true) | ((n_is @ X0 @ sK3) = $true) | ($true = (iii @ X0 @ sK3))) )),
% 0.22/0.56 inference(trivial_inequality_removal,[],[f1171])).
% 0.22/0.56 thf(f1171,plain,(
% 0.22/0.56 ( ! [X0 : $i] : (((n_is @ X0 @ sK3) = $true) | ((n_some @ (diffprop @ X0 @ sK3)) = $true) | ($false = (is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ nat)))) | ($true = $false) | ($true = (iii @ X0 @ sK3))) )),
% 0.22/0.56 inference(superposition,[],[f947,f793])).
% 0.22/0.56 thf(f793,plain,(
% 0.22/0.56 ( ! [X2 : $i,X1 : $i] : (((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ($true = (iii @ X1 @ X2)) | ((n_is @ X1 @ X2) = $true) | ((n_some @ (diffprop @ X1 @ X2)) = $true) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )),
% 0.22/0.56 inference(not_proxy_clausification,[],[f792])).
% 0.22/0.56 thf(f792,plain,(
% 0.22/0.56 ( ! [X2 : $i,X1 : $i] : (((~ (n_some @ (diffprop @ X1 @ X2))) = $false) | ($true = (iii @ X1 @ X2)) | ((n_is @ X1 @ X2) = $true) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )),
% 0.22/0.56 inference(binary_proxy_clausification,[],[f791])).
% 0.22/0.56 thf(f791,plain,(
% 0.22/0.56 ( ! [X2 : $i,X1 : $i] : ((((~ (n_some @ (diffprop @ X1 @ X2))) => (n_is @ X1 @ X2)) = $true) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ($true = (iii @ X1 @ X2)) | ((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )),
% 0.22/0.56 inference(not_proxy_clausification,[],[f790])).
% 0.22/0.56 thf(f790,plain,(
% 0.22/0.56 ( ! [X2 : $i,X1 : $i] : (((~ ((~ (n_some @ (diffprop @ X1 @ X2))) => (n_is @ X1 @ X2))) = $false) | ((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ($true = (iii @ X1 @ X2))) )),
% 0.22/0.56 inference(binary_proxy_clausification,[],[f789])).
% 0.22/0.56 thf(f789,plain,(
% 0.22/0.56 ( ! [X2 : $i,X1 : $i] : (($true = ((~ ((~ (n_some @ (diffprop @ X1 @ X2))) => (n_is @ X1 @ X2))) => (iii @ X1 @ X2))) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )),
% 0.22/0.56 inference(binary_proxy_clausification,[],[f788])).
% 0.22/0.56 thf(f788,plain,(
% 0.22/0.56 ( ! [X2 : $i,X1 : $i] : ((((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) => ((~ ((~ (n_some @ (diffprop @ X1 @ X2))) => (n_is @ X1 @ X2))) => (iii @ X1 @ X2))) = $true) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )),
% 0.22/0.56 inference(beta_eta_normalization,[],[f787])).
% 0.22/0.56 thf(f787,plain,(
% 0.22/0.56 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((~ ((~ (n_some @ (diffprop @ X1 @ Y0))) => (n_is @ X1 @ Y0))) => (iii @ X1 @ Y0)))) @ X2)) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )),
% 0.22/0.56 inference(pi_clausification,[],[f786])).
% 0.22/0.56 thf(f786,plain,(
% 0.22/0.56 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((~ ((~ (n_some @ (diffprop @ X1 @ Y0))) => (n_is @ X1 @ Y0))) => (iii @ X1 @ Y0))))) = $true) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )),
% 0.22/0.56 inference(binary_proxy_clausification,[],[f785])).
% 0.22/0.56 thf(f785,plain,(
% 0.22/0.56 ( ! [X1 : $i] : (($true = ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) => (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((~ ((~ (n_some @ (diffprop @ X1 @ Y0))) => (n_is @ X1 @ Y0))) => (iii @ X1 @ Y0)))))))) )),
% 0.22/0.56 inference(beta_eta_normalization,[],[f784])).
% 0.22/0.56 thf(f784,plain,(
% 0.22/0.56 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => ((~ ((~ (n_some @ (diffprop @ Y0 @ Y1))) => (n_is @ Y0 @ Y1))) => (iii @ Y0 @ Y1))))))) @ X1) = $true)) )),
% 0.22/0.56 inference(pi_clausification,[],[f783])).
% 0.22/0.56 thf(f783,plain,(
% 0.22/0.56 ($true = (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => ((~ ((~ (n_some @ (diffprop @ Y0 @ Y1))) => (n_is @ Y0 @ Y1))) => (iii @ Y0 @ Y1)))))))))),
% 0.22/0.56 inference(boolean_simplification,[],[f782])).
% 0.22/0.56 thf(f782,plain,(
% 0.22/0.56 ((!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => ((~ (((n_some @ (diffprop @ Y0 @ Y1)) => $false) => (n_is @ Y0 @ Y1))) => (iii @ Y0 @ Y1)))))))) = $true)),
% 0.22/0.56 inference(boolean_simplification,[],[f781])).
% 0.22/0.56 thf(f781,plain,(
% 0.22/0.56 ($true = (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => (((((n_some @ (diffprop @ Y0 @ Y1)) => $false) => (n_is @ Y0 @ Y1)) => $false) => (iii @ Y0 @ Y1)))))))))),
% 0.22/0.56 inference(beta_eta_normalization,[],[f641])).
% 0.22/0.56 thf(f641,plain,(
% 0.22/0.56 ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: ((is_of @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ Y2 @ $false)) @ ((^[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]: (n_some @ (diffprop @ Y4 @ Y5))))) @ Y2 @ Y3) @ (n_is @ Y2 @ Y3))))) @ Y0 @ Y1)) => (iii @ Y0 @ Y1)))))))),
% 0.22/0.56 inference(definition_unfolding,[],[f572,f581,f581,f624,f626])).
% 0.22/0.56 thf(f572,plain,(
% 0.22/0.56 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (moreis @ Y0 @ Y1)) => (iii @ Y0 @ Y1)))))) = $true)),
% 0.22/0.56 inference(cnf_transformation,[],[f368])).
% 0.22/0.56 thf(f368,plain,(
% 0.22/0.56 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (moreis @ Y0 @ Y1)) => (iii @ Y0 @ Y1)))))) = $true)),
% 0.22/0.56 inference(fool_elimination,[],[f367])).
% 0.22/0.56 thf(f367,plain,(
% 0.22/0.56 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((d_not @ (moreis @ X1 @ X3)) => (iii @ X1 @ X3))))))),
% 0.22/0.56 inference(rectify,[],[f226])).
% 0.22/0.56 thf(f226,axiom,(
% 0.22/0.56 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((d_not @ (moreis @ X0 @ X1)) => (iii @ X0 @ X1))))))),
% 0.22/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz10j)).
% 0.22/0.56 % SZS output end Proof for theBenchmark
% 0.22/0.56 % (1459)------------------------------
% 0.22/0.56 % (1459)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.56 % (1459)Termination reason: Refutation
% 0.22/0.56
% 0.22/0.56 % (1459)Memory used [KB]: 6780
% 0.22/0.56 % (1459)Time elapsed: 0.064 s
% 0.22/0.56 % (1459)Instructions burned: 175 (million)
% 0.22/0.56 % (1459)------------------------------
% 0.22/0.56 % (1459)------------------------------
% 0.22/0.56 % (1429)Success in time 0.195 s
%------------------------------------------------------------------------------