TSTP Solution File: NUM642^4 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : NUM642^4 : TPTP v8.2.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n017.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 13:16:11 EDT 2024
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM642^4 : TPTP v8.2.0. Released v7.1.0.
% 0.00/0.12 % Command : run_vampire %s %d THM
% 0.11/0.32 % Computer : n017.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sat Jun 22 19:51:39 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.19/0.34 This is a TH0_THM_EQU_NAR problem
% 0.19/0.35 Running higher-order theorem proving
% 0.19/0.35 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
% 0.19/0.38 % (18033)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)
% 0.19/0.38 % (18034)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.38 % (18032)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)
% 0.19/0.38 % (18035)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)
% 0.19/0.38 % (18036)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)
% 0.19/0.38 % (18031)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.19/0.38 % (18037)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.19/0.38 % (18034)Instruction limit reached!
% 0.19/0.38 % (18034)------------------------------
% 0.19/0.38 % (18034)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.38 % (18034)Termination reason: Unknown
% 0.19/0.38 % (18034)Termination phase: shuffling
% 0.19/0.38 % (18035)Instruction limit reached!
% 0.19/0.38 % (18035)------------------------------
% 0.19/0.38 % (18035)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.38 % (18035)Termination reason: Unknown
% 0.19/0.38 % (18035)Termination phase: shuffling
% 0.19/0.38
% 0.19/0.38 % (18035)Memory used [KB]: 1279
% 0.19/0.38 % (18035)Time elapsed: 0.004 s
% 0.19/0.38 % (18035)Instructions burned: 3 (million)
% 0.19/0.38 % (18035)------------------------------
% 0.19/0.38 % (18035)------------------------------
% 0.19/0.38
% 0.19/0.38 % (18034)Memory used [KB]: 1279
% 0.19/0.38 % (18034)Time elapsed: 0.004 s
% 0.19/0.38 % (18034)Instructions burned: 3 (million)
% 0.19/0.38 % (18034)------------------------------
% 0.19/0.38 % (18034)------------------------------
% 0.19/0.38 % (18032)Instruction limit reached!
% 0.19/0.38 % (18032)------------------------------
% 0.19/0.38 % (18032)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.38 % (18032)Termination reason: Unknown
% 0.19/0.38 % (18032)Termination phase: shuffling
% 0.19/0.38
% 0.19/0.38 % (18032)Memory used [KB]: 1279
% 0.19/0.38 % (18032)Time elapsed: 0.005 s
% 0.19/0.38 % (18032)Instructions burned: 4 (million)
% 0.19/0.38 % (18032)------------------------------
% 0.19/0.38 % (18032)------------------------------
% 0.19/0.39 % (18037)Instruction limit reached!
% 0.19/0.39 % (18037)------------------------------
% 0.19/0.39 % (18037)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.39 % (18037)Termination reason: Unknown
% 0.19/0.39 % (18037)Termination phase: Property scanning
% 0.19/0.39
% 0.19/0.39 % (18037)Memory used [KB]: 1535
% 0.19/0.39 % (18037)Time elapsed: 0.013 s
% 0.19/0.39 % (18037)Instructions burned: 19 (million)
% 0.19/0.39 % (18037)------------------------------
% 0.19/0.39 % (18037)------------------------------
% 0.19/0.39 % (18033)Instruction limit reached!
% 0.19/0.39 % (18033)------------------------------
% 0.19/0.39 % (18033)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.39 % (18033)Termination reason: Unknown
% 0.19/0.39 % (18033)Termination phase: Preprocessing 3
% 0.19/0.39
% 0.19/0.39 % (18033)Memory used [KB]: 1535
% 0.19/0.39 % (18033)Time elapsed: 0.017 s
% 0.19/0.39 % (18033)Instructions burned: 27 (million)
% 0.19/0.39 % (18033)------------------------------
% 0.19/0.39 % (18033)------------------------------
% 0.19/0.39 % (18039)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)
% 0.19/0.40 % (18036)Refutation not found, incomplete strategy
% 0.19/0.40 % (18036)------------------------------
% 0.19/0.40 % (18036)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.40 % (18036)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40 % (18036)Memory used [KB]: 6012
% 0.19/0.40 % (18040)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)
% 0.19/0.40 % (18036)Time elapsed: 0.020 s
% 0.19/0.40 % (18036)Instructions burned: 32 (million)
% 0.19/0.40 % (18036)------------------------------
% 0.19/0.40 % (18036)------------------------------
% 0.19/0.40 % (18038)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)
% 0.19/0.40 % (18038)Instruction limit reached!
% 0.19/0.40 % (18038)------------------------------
% 0.19/0.40 % (18038)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.40 % (18038)Termination reason: Unknown
% 0.19/0.40 % (18038)Termination phase: shuffling
% 0.19/0.40
% 0.19/0.40 % (18038)Memory used [KB]: 1279
% 0.19/0.40 % (18038)Time elapsed: 0.004 s
% 0.19/0.40 % (18038)Instructions burned: 3 (million)
% 0.19/0.40 % (18038)------------------------------
% 0.19/0.40 % (18038)------------------------------
% 0.19/0.40 % (18041)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)
% 0.19/0.40 % (18040)Instruction limit reached!
% 0.19/0.40 % (18040)------------------------------
% 0.19/0.40 % (18040)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.40 % (18040)Termination reason: Unknown
% 0.19/0.40 % (18040)Termination phase: shuffling
% 0.19/0.40
% 0.19/0.40 % (18040)Memory used [KB]: 1535
% 0.19/0.40 % (18040)Time elapsed: 0.011 s
% 0.19/0.40 % (18040)Instructions burned: 16 (million)
% 0.19/0.40 % (18040)------------------------------
% 0.19/0.40 % (18040)------------------------------
% 0.19/0.41 % (18041)Instruction limit reached!
% 0.19/0.41 % (18041)------------------------------
% 0.19/0.41 % (18041)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.41 % (18041)Termination reason: Unknown
% 0.19/0.41 % (18041)Termination phase: shuffling
% 0.19/0.41
% 0.19/0.41 % (18041)Memory used [KB]: 1279
% 0.19/0.41 % (18041)Time elapsed: 0.004 s
% 0.19/0.41 % (18041)Instructions burned: 3 (million)
% 0.19/0.41 % (18041)------------------------------
% 0.19/0.41 % (18041)------------------------------
% 0.19/0.41 % (18042)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)
% 0.19/0.41 % (18043)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.41 % (18044)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.41 % (18039)Instruction limit reached!
% 0.19/0.41 % (18039)------------------------------
% 0.19/0.41 % (18039)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.41 % (18039)Termination reason: Unknown
% 0.19/0.41 % (18039)Termination phase: Property scanning
% 0.19/0.41
% 0.19/0.41 % (18039)Memory used [KB]: 1535
% 0.19/0.41 % (18039)Time elapsed: 0.021 s
% 0.19/0.41 % (18039)Instructions burned: 39 (million)
% 0.19/0.41 % (18039)------------------------------
% 0.19/0.41 % (18039)------------------------------
% 0.19/0.42 % (18043)Instruction limit reached!
% 0.19/0.42 % (18043)------------------------------
% 0.19/0.42 % (18043)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.42 % (18043)Termination reason: Unknown
% 0.19/0.42 % (18043)Termination phase: shuffling
% 0.19/0.42
% 0.19/0.42 % (18043)Memory used [KB]: 1279
% 0.19/0.42 % (18043)Time elapsed: 0.006 s
% 0.19/0.42 % (18043)Instructions burned: 7 (million)
% 0.19/0.42 % (18043)------------------------------
% 0.19/0.42 % (18043)------------------------------
% 0.19/0.42 % (18045)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)
% 0.19/0.42 % (18046)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)
% 0.19/0.42 % (18045)Instruction limit reached!
% 0.19/0.42 % (18045)------------------------------
% 0.19/0.42 % (18045)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.42 % (18045)Termination reason: Unknown
% 0.19/0.42 % (18045)Termination phase: shuffling
% 0.19/0.42
% 0.19/0.42 % (18045)Memory used [KB]: 1279
% 0.19/0.42 % (18045)Time elapsed: 0.004 s
% 0.19/0.42 % (18045)Instructions burned: 3 (million)
% 0.19/0.42 % (18045)------------------------------
% 0.19/0.42 % (18045)------------------------------
% 0.19/0.42 % (18044)Instruction limit reached!
% 0.19/0.42 % (18044)------------------------------
% 0.19/0.42 % (18044)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.42 % (18044)Termination reason: Unknown
% 0.19/0.42 % (18044)Termination phase: shuffling
% 0.19/0.42
% 0.19/0.42 % (18044)Memory used [KB]: 1535
% 0.19/0.42 % (18044)Time elapsed: 0.011 s
% 0.19/0.42 % (18044)Instructions burned: 16 (million)
% 0.19/0.42 % (18044)------------------------------
% 0.19/0.42 % (18044)------------------------------
% 0.20/0.42 % (18046)Instruction limit reached!
% 0.20/0.42 % (18046)------------------------------
% 0.20/0.42 % (18046)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.42 % (18046)Termination reason: Unknown
% 0.20/0.42 % (18046)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (18046)Memory used [KB]: 1279
% 0.20/0.42 % (18046)Time elapsed: 0.004 s
% 0.20/0.42 % (18046)Instructions burned: 3 (million)
% 0.20/0.42 % (18046)------------------------------
% 0.20/0.42 % (18046)------------------------------
% 0.20/0.43 % (18047)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)
% 0.20/0.43 % (18048)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)
% 0.20/0.43 % (18048)Instruction limit reached!
% 0.20/0.43 % (18048)------------------------------
% 0.20/0.43 % (18048)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.43 % (18048)Termination reason: Unknown
% 0.20/0.43 % (18048)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (18048)Memory used [KB]: 1279
% 0.20/0.43 % (18048)Time elapsed: 0.004 s
% 0.20/0.43 % (18048)Instructions burned: 3 (million)
% 0.20/0.43 % (18048)------------------------------
% 0.20/0.43 % (18048)------------------------------
% 0.20/0.43 % (18047)Instruction limit reached!
% 0.20/0.43 % (18047)------------------------------
% 0.20/0.43 % (18047)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.43 % (18047)Termination reason: Unknown
% 0.20/0.43 % (18047)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (18047)Memory used [KB]: 1279
% 0.20/0.43 % (18047)Time elapsed: 0.006 s
% 0.20/0.43 % (18047)Instructions burned: 7 (million)
% 0.20/0.43 % (18047)------------------------------
% 0.20/0.43 % (18047)------------------------------
% 0.20/0.44 % (18051)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.44 % (18049)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.44 % (18050)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)
% 0.20/0.44 % (18049)Instruction limit reached!
% 0.20/0.44 % (18049)------------------------------
% 0.20/0.44 % (18049)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.44 % (18049)Termination reason: Unknown
% 0.20/0.44 % (18049)Termination phase: shuffling
% 0.20/0.44
% 0.20/0.44 % (18049)Memory used [KB]: 1279
% 0.20/0.44 % (18049)Time elapsed: 0.005 s
% 0.20/0.44 % (18049)Instructions burned: 5 (million)
% 0.20/0.44 % (18049)------------------------------
% 0.20/0.44 % (18049)------------------------------
% 0.20/0.45 % (18050)Instruction limit reached!
% 0.20/0.45 % (18050)------------------------------
% 0.20/0.45 % (18050)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.45 % (18050)Termination reason: Unknown
% 0.20/0.45 % (18050)Termination phase: Property scanning
% 0.20/0.45
% 0.20/0.45 % (18050)Memory used [KB]: 1535
% 0.20/0.45 % (18050)Time elapsed: 0.012 s
% 0.20/0.45 % (18050)Instructions burned: 18 (million)
% 0.20/0.45 % (18050)------------------------------
% 0.20/0.45 % (18050)------------------------------
% 0.20/0.45 % (18052)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.45 % (18053)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)
% 0.20/0.45 % (18052)Instruction limit reached!
% 0.20/0.45 % (18052)------------------------------
% 0.20/0.45 % (18052)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.45 % (18052)Termination reason: Unknown
% 0.20/0.45 % (18052)Termination phase: shuffling
% 0.20/0.45
% 0.20/0.45 % (18052)Memory used [KB]: 1279
% 0.20/0.45 % (18052)Time elapsed: 0.006 s
% 0.20/0.45 % (18052)Instructions burned: 7 (million)
% 0.20/0.45 % (18052)------------------------------
% 0.20/0.45 % (18052)------------------------------
% 0.20/0.45 % (18031)Instruction limit reached!
% 0.20/0.45 % (18031)------------------------------
% 0.20/0.45 % (18031)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.45 % (18031)Termination reason: Unknown
% 0.20/0.45 % (18031)Termination phase: Property scanning
% 0.20/0.45
% 0.20/0.45 % (18031)Memory used [KB]: 1663
% 0.20/0.45 % (18031)Time elapsed: 0.079 s
% 0.20/0.45 % (18031)Instructions burned: 184 (million)
% 0.20/0.45 % (18031)------------------------------
% 0.20/0.45 % (18031)------------------------------
% 0.20/0.46 % (18054)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)
% 0.20/0.46 % (18055)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.46 % (18055)Instruction limit reached!
% 0.20/0.46 % (18055)------------------------------
% 0.20/0.46 % (18055)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.46 % (18055)Termination reason: Unknown
% 0.20/0.46 % (18055)Termination phase: shuffling
% 0.20/0.46
% 0.20/0.46 % (18055)Memory used [KB]: 1279
% 0.20/0.46 % (18055)Time elapsed: 0.004 s
% 0.20/0.46 % (18055)Instructions burned: 6 (million)
% 0.20/0.46 % (18055)------------------------------
% 0.20/0.46 % (18055)------------------------------
% 0.20/0.47 % (18056)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)
% 0.20/0.47 % (18054)Instruction limit reached!
% 0.20/0.47 % (18054)------------------------------
% 0.20/0.47 % (18054)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.47 % (18054)Termination reason: Unknown
% 0.20/0.47 % (18054)Termination phase: Property scanning
% 0.20/0.47
% 0.20/0.47 % (18054)Memory used [KB]: 1535
% 0.20/0.47 % (18054)Time elapsed: 0.014 s
% 0.20/0.47 % (18054)Instructions burned: 22 (million)
% 0.20/0.47 % (18054)------------------------------
% 0.20/0.47 % (18054)------------------------------
% 0.20/0.47 % (18057)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.20/0.47 % (18056)Instruction limit reached!
% 0.20/0.47 % (18056)------------------------------
% 0.20/0.47 % (18056)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.47 % (18056)Termination reason: Unknown
% 0.20/0.47 % (18056)Termination phase: shuffling
% 0.20/0.47
% 0.20/0.47 % (18056)Memory used [KB]: 1279
% 0.20/0.47 % (18056)Time elapsed: 0.006 s
% 0.20/0.47 % (18056)Instructions burned: 7 (million)
% 0.20/0.47 % (18056)------------------------------
% 0.20/0.47 % (18056)------------------------------
% 0.20/0.47 % (18058)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)
% 0.20/0.48 % (18053)Refutation not found, incomplete strategy
% 0.20/0.48 % (18053)------------------------------
% 0.20/0.48 % (18053)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.48 % (18053)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.48
% 0.20/0.48
% 0.20/0.48 % (18053)Memory used [KB]: 6268
% 0.20/0.48 % (18053)Time elapsed: 0.032 s
% 0.20/0.48 % (18053)Instructions burned: 57 (million)
% 0.20/0.48 % (18053)------------------------------
% 0.20/0.48 % (18053)------------------------------
% 0.20/0.48 % (18059)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)
% 0.20/0.48 % (18060)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)
% 0.20/0.49 % (18059)Instruction limit reached!
% 0.20/0.49 % (18059)------------------------------
% 0.20/0.49 % (18059)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.49 % (18059)Termination reason: Unknown
% 0.20/0.49 % (18059)Termination phase: Property scanning
% 0.20/0.49
% 0.20/0.49 % (18059)Memory used [KB]: 1535
% 0.20/0.49 % (18059)Time elapsed: 0.009 s
% 0.20/0.49 % (18059)Instructions burned: 20 (million)
% 0.20/0.49 % (18059)------------------------------
% 0.20/0.49 % (18059)------------------------------
% 0.20/0.49 % (18061)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.20/0.50 % (18061)Instruction limit reached!
% 0.20/0.50 % (18061)------------------------------
% 0.20/0.50 % (18061)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.50 % (18061)Termination reason: Unknown
% 0.20/0.50 % (18061)Termination phase: Property scanning
% 0.20/0.50
% 0.20/0.50 % (18061)Memory used [KB]: 1535
% 0.20/0.50 % (18061)Time elapsed: 0.008 s
% 0.20/0.50 % (18061)Instructions burned: 20 (million)
% 0.20/0.50 % (18061)------------------------------
% 0.20/0.50 % (18061)------------------------------
% 0.20/0.50 % (18062)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.20/0.50 % (18062)Instruction limit reached!
% 0.20/0.50 % (18062)------------------------------
% 0.20/0.50 % (18062)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.50 % (18062)Termination reason: Unknown
% 0.20/0.50 % (18062)Termination phase: shuffling
% 0.20/0.50
% 0.20/0.50 % (18062)Memory used [KB]: 1279
% 0.20/0.50 % (18062)Time elapsed: 0.003 s
% 0.20/0.50 % (18062)Instructions burned: 3 (million)
% 0.20/0.50 % (18062)------------------------------
% 0.20/0.50 % (18062)------------------------------
% 0.20/0.51 % (18063)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.20/0.51 % (18058)First to succeed.
% 0.20/0.51 % (18064)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)
% 0.20/0.51 % (18058)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% 0.20/0.51 thf(func_def_0, type, is_of: $i > ($i > $o) > $o).
% 0.20/0.51 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o).
% 0.20/0.51 thf(func_def_3, type, eps: ($i > $o) > $i).
% 0.20/0.51 thf(func_def_4, type, in: $i > $i > $o).
% 0.20/0.51 thf(func_def_5, type, d_Subq: $i > $i > $o).
% 0.20/0.51 thf(func_def_7, type, union: $i > $i).
% 0.20/0.51 thf(func_def_8, type, power: $i > $i).
% 0.20/0.51 thf(func_def_9, type, repl: $i > ($i > $i) > $i).
% 0.20/0.51 thf(func_def_10, type, d_Union_closed: $i > $o).
% 0.20/0.51 thf(func_def_11, type, d_Power_closed: $i > $o).
% 0.20/0.51 thf(func_def_12, type, d_Repl_closed: $i > $o).
% 0.20/0.51 thf(func_def_13, type, d_ZF_closed: $i > $o).
% 0.20/0.51 thf(func_def_14, type, univof: $i > $i).
% 0.20/0.51 thf(func_def_15, type, if: $o > $i > $i > $i).
% 0.20/0.51 thf(func_def_16, type, nIn: $i > $i > $o).
% 0.20/0.51 thf(func_def_17, type, d_UPair: $i > $i > $i).
% 0.20/0.51 thf(func_def_18, type, d_Sing: $i > $i).
% 0.20/0.51 thf(func_def_19, type, binunion: $i > $i > $i).
% 0.20/0.51 thf(func_def_20, type, famunion: $i > ($i > $i) > $i).
% 0.20/0.51 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i).
% 0.20/0.51 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
% 0.20/0.51 thf(func_def_23, type, setminus: $i > $i > $i).
% 0.20/0.51 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o).
% 0.20/0.51 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i).
% 0.20/0.51 thf(func_def_26, type, ordsucc: $i > $i).
% 0.20/0.51 thf(func_def_27, type, nat_p: $i > $o).
% 0.20/0.51 thf(func_def_29, type, d_Inj1: $i > $i).
% 0.20/0.51 thf(func_def_30, type, d_Inj0: $i > $i).
% 0.20/0.51 thf(func_def_31, type, d_Unj: $i > $i).
% 0.20/0.51 thf(func_def_32, type, pair: $i > $i > $i).
% 0.20/0.51 thf(func_def_33, type, proj0: $i > $i).
% 0.20/0.51 thf(func_def_34, type, proj1: $i > $i).
% 0.20/0.51 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i).
% 0.20/0.51 thf(func_def_36, type, setprod: $i > $i > $i).
% 0.20/0.51 thf(func_def_37, type, ap: $i > $i > $i).
% 0.20/0.51 thf(func_def_38, type, pair_p: $i > $o).
% 0.20/0.51 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i).
% 0.20/0.51 thf(func_def_40, type, imp: $o > $o > $o).
% 0.20/0.51 thf(func_def_41, type, d_not: $o > $o).
% 0.20/0.51 thf(func_def_42, type, wel: $o > $o).
% 0.20/0.51 thf(func_def_44, type, l_ec: $o > $o > $o).
% 0.20/0.51 thf(func_def_45, type, d_and: $o > $o > $o).
% 0.20/0.51 thf(func_def_46, type, l_or: $o > $o > $o).
% 0.20/0.51 thf(func_def_47, type, orec: $o > $o > $o).
% 0.20/0.51 thf(func_def_48, type, l_iff: $o > $o > $o).
% 0.20/0.51 thf(func_def_49, type, all: $i > ($i > $o) > $o).
% 0.20/0.51 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o).
% 0.20/0.51 thf(func_def_51, type, l_some: $i > ($i > $o) > $o).
% 0.20/0.51 thf(func_def_52, type, or3: $o > $o > $o > $o).
% 0.20/0.51 thf(func_def_53, type, and3: $o > $o > $o > $o).
% 0.20/0.51 thf(func_def_54, type, ec3: $o > $o > $o > $o).
% 0.20/0.51 thf(func_def_55, type, orec3: $o > $o > $o > $o).
% 0.20/0.51 thf(func_def_56, type, e_is: $i > $i > $i > $o).
% 0.20/0.51 thf(func_def_57, type, amone: $i > ($i > $o) > $o).
% 0.20/0.51 thf(func_def_58, type, one: $i > ($i > $o) > $o).
% 0.20/0.51 thf(func_def_59, type, ind: $i > ($i > $o) > $i).
% 0.20/0.51 thf(func_def_60, type, injective: $i > $i > $i > $o).
% 0.20/0.51 thf(func_def_61, type, image: $i > $i > $i > $i > $o).
% 0.20/0.51 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i).
% 0.20/0.51 thf(func_def_63, type, soft: $i > $i > $i > $i > $i).
% 0.20/0.51 thf(func_def_64, type, inverse: $i > $i > $i > $i).
% 0.20/0.51 thf(func_def_65, type, surjective: $i > $i > $i > $o).
% 0.20/0.51 thf(func_def_66, type, bijective: $i > $i > $i > $o).
% 0.20/0.51 thf(func_def_67, type, invf: $i > $i > $i > $i).
% 0.20/0.51 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i).
% 0.20/0.51 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i).
% 0.20/0.51 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i).
% 0.20/0.51 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i).
% 0.20/0.51 thf(func_def_72, type, first: $i > $i > $i > $i).
% 0.20/0.51 thf(func_def_73, type, second: $i > $i > $i > $i).
% 0.20/0.51 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o).
% 0.20/0.51 thf(func_def_75, type, ite: $o > $i > $i > $i > $i).
% 0.20/0.51 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i).
% 0.20/0.51 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i).
% 0.20/0.51 thf(func_def_78, type, wissel: $i > $i > $i > $i).
% 0.20/0.51 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i).
% 0.20/0.51 thf(func_def_80, type, r_ec: $o > $o > $o).
% 0.20/0.51 thf(func_def_81, type, esti: $i > $i > $i > $o).
% 0.20/0.51 thf(func_def_82, type, empty: $i > $i > $o).
% 0.20/0.51 thf(func_def_83, type, nonempty: $i > $i > $o).
% 0.20/0.51 thf(func_def_84, type, incl: $i > $i > $i > $o).
% 0.20/0.51 thf(func_def_85, type, st_disj: $i > $i > $i > $o).
% 0.20/0.51 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o).
% 0.20/0.51 thf(func_def_87, type, unmore: $i > $i > $i > $i).
% 0.20/0.51 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i).
% 0.20/0.51 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o).
% 0.20/0.51 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o).
% 0.20/0.51 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i).
% 0.20/0.51 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i).
% 0.20/0.51 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i).
% 0.20/0.51 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i).
% 0.20/0.51 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o).
% 0.20/0.51 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o).
% 0.20/0.51 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o).
% 0.20/0.51 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 0.20/0.51 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o).
% 0.20/0.51 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 0.20/0.51 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i).
% 0.20/0.51 thf(func_def_103, type, n_is: $i > $i > $o).
% 0.20/0.51 thf(func_def_104, type, nis: $i > $i > $o).
% 0.20/0.51 thf(func_def_105, type, n_in: $i > $i > $o).
% 0.20/0.51 thf(func_def_106, type, n_some: ($i > $o) > $o).
% 0.20/0.51 thf(func_def_107, type, n_all: ($i > $o) > $o).
% 0.20/0.51 thf(func_def_108, type, n_one: ($i > $o) > $o).
% 0.20/0.51 thf(func_def_110, type, cond1: $i > $o).
% 0.20/0.51 thf(func_def_111, type, cond2: $i > $o).
% 0.20/0.51 thf(func_def_112, type, i1_s: ($i > $o) > $i).
% 0.20/0.51 thf(func_def_113, type, d_22_prop1: $i > $o).
% 0.20/0.51 thf(func_def_114, type, d_23_prop1: $i > $o).
% 0.20/0.51 thf(func_def_115, type, d_24_prop1: $i > $o).
% 0.20/0.51 thf(func_def_116, type, d_24_prop2: $i > $i > $o).
% 0.20/0.51 thf(func_def_117, type, prop3: $i > $i > $i > $o).
% 0.20/0.51 thf(func_def_118, type, prop4: $i > $o).
% 0.20/0.51 thf(func_def_119, type, d_24_g: $i > $i).
% 0.20/0.51 thf(func_def_120, type, plus: $i > $i).
% 0.20/0.51 thf(func_def_121, type, n_pl: $i > $i > $i).
% 0.20/0.51 thf(func_def_142, type, sK1: ($i > $o) > $i).
% 0.20/0.51 thf(func_def_145, type, sK4: ($i > $i) > $i > ($i > $i) > $i).
% 0.20/0.51 thf(func_def_146, type, ph5: !>[X0: $tType]:(X0)).
% 0.20/0.51 thf(f947,plain,(
% 0.20/0.51 $false),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f944])).
% 0.20/0.51 thf(f944,plain,(
% 0.20/0.51 ($false = $true)),
% 0.20/0.51 inference(backward_demodulation,[],[f604,f938])).
% 0.20/0.51 thf(f938,plain,(
% 0.20/0.51 ($false = (in @ sK3 @ nat))),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f937])).
% 0.20/0.51 thf(f937,plain,(
% 0.20/0.51 ($false = $true) | ($false = (in @ sK3 @ nat))),
% 0.20/0.51 inference(forward_demodulation,[],[f927,f600])).
% 0.20/0.51 thf(f600,plain,(
% 0.20/0.51 ((in @ sK2 @ nat) = $true)),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f598])).
% 0.20/0.51 thf(f598,plain,(
% 0.20/0.51 (((in @ sK2 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((ordsucc @ (n_pl @ sK2 @ Y0)) = (n_pl @ (ordsucc @ sK2) @ Y0)))))) = $false)),
% 0.20/0.51 inference(beta_eta_normalization,[],[f597])).
% 0.20/0.51 thf(f597,plain,(
% 0.20/0.51 ($false = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((ordsucc @ (n_pl @ Y0 @ Y1)) = (n_pl @ (ordsucc @ Y0) @ Y1))))))) @ sK2))),
% 0.20/0.51 inference(sigma_clausification,[],[f596])).
% 0.20/0.51 thf(f596,plain,(
% 0.20/0.51 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((ordsucc @ (n_pl @ Y0 @ Y1)) = (n_pl @ (ordsucc @ Y0) @ Y1)))))))) = $false)),
% 0.20/0.51 inference(not_proxy_clausification,[],[f557])).
% 0.20/0.51 thf(f557,plain,(
% 0.20/0.51 ((~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((ordsucc @ (n_pl @ Y0 @ Y1)) = (n_pl @ (ordsucc @ Y0) @ Y1))))))))) = $true)),
% 0.20/0.51 inference(beta_eta_normalization,[],[f525])).
% 0.20/0.51 thf(f525,plain,(
% 0.20/0.51 ((~ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i > $o]: (Y5 @ Y4)))) @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3 = Y4)))))) @ nat @ (ordsucc @ (n_pl @ Y0 @ Y1)) @ (n_pl @ (ordsucc @ Y0) @ Y1))))))) = $true)),
% 0.20/0.51 inference(definition_unfolding,[],[f488,f522,f522,f523])).
% 0.20/0.51 thf(f523,plain,(
% 0.20/0.51 (n_is = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))) @ nat))),
% 0.20/0.51 inference(definition_unfolding,[],[f493,f499])).
% 0.20/0.51 thf(f499,plain,(
% 0.20/0.51 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
% 0.20/0.51 inference(cnf_transformation,[],[f460])).
% 0.20/0.51 thf(f460,plain,(
% 0.20/0.51 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
% 0.20/0.51 inference(fool_elimination,[],[f459])).
% 0.20/0.51 thf(f459,plain,(
% 0.20/0.51 (e_is = (^[X0 : $i, X1 : $i, X2 : $i] : ((X1 = X2))))),
% 0.20/0.51 inference(rectify,[],[f91])).
% 0.20/0.51 thf(f91,axiom,(
% 0.20/0.51 (e_is = (^[X0 : $i, X7 : $i, X8 : $i] : ((X7 = X8))))),
% 0.20/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_e_is)).
% 0.20/0.51 thf(f493,plain,(
% 0.20/0.51 (n_is = (e_is @ nat))),
% 0.20/0.51 inference(cnf_transformation,[],[f199])).
% 0.20/0.51 thf(f199,plain,(
% 0.20/0.51 (n_is = (e_is @ nat))),
% 0.20/0.51 inference(fool_elimination,[],[f157])).
% 0.20/0.51 thf(f157,axiom,(
% 0.20/0.51 (n_is = (e_is @ nat))),
% 0.20/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_n_is)).
% 0.20/0.51 thf(f522,plain,(
% 0.20/0.51 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 0.20/0.51 inference(definition_unfolding,[],[f510,f498])).
% 0.20/0.51 thf(f498,plain,(
% 0.20/0.51 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 0.20/0.51 inference(cnf_transformation,[],[f410])).
% 0.20/0.51 thf(f410,plain,(
% 0.20/0.51 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 0.20/0.51 inference(fool_elimination,[],[f1])).
% 0.20/0.51 thf(f1,axiom,(
% 0.20/0.51 (is_of = (^[X0 : $i, X1 : $i > $o] : (X1 @ X0)))),
% 0.20/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_is_of)).
% 0.20/0.51 thf(f510,plain,(
% 0.20/0.51 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 0.20/0.51 inference(cnf_transformation,[],[f392])).
% 0.20/0.51 thf(f392,plain,(
% 0.20/0.51 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 0.20/0.51 inference(fool_elimination,[],[f391])).
% 0.20/0.51 thf(f391,plain,(
% 0.20/0.51 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))),
% 0.20/0.51 inference(rectify,[],[f2])).
% 0.20/0.51 thf(f2,axiom,(
% 0.20/0.51 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))),
% 0.20/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_all_of)).
% 0.20/0.51 thf(f488,plain,(
% 0.20/0.51 ((~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (n_is @ (ordsucc @ (n_pl @ Y0 @ Y1)) @ (n_pl @ (ordsucc @ Y0) @ Y1))))))) = $true)),
% 0.20/0.51 inference(cnf_transformation,[],[f357])).
% 0.20/0.51 thf(f357,plain,(
% 0.20/0.51 ((~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (n_is @ (ordsucc @ (n_pl @ Y0 @ Y1)) @ (n_pl @ (ordsucc @ Y0) @ Y1))))))) = $true)),
% 0.20/0.51 inference(fool_elimination,[],[f356])).
% 0.20/0.51 thf(f356,plain,(
% 0.20/0.51 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : (n_is @ (ordsucc @ (n_pl @ X1 @ X3)) @ (n_pl @ (ordsucc @ X1) @ X3))))))),
% 0.20/0.51 inference(rectify,[],[f194])).
% 0.20/0.51 thf(f194,negated_conjecture,(
% 0.20/0.51 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (n_is @ (ordsucc @ (n_pl @ X0 @ X1)) @ (n_pl @ (ordsucc @ X0) @ X1))))))),
% 0.20/0.51 inference(negated_conjecture,[],[f193])).
% 0.20/0.51 thf(f193,conjecture,(
% 0.20/0.51 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (n_is @ (ordsucc @ (n_pl @ X0 @ X1)) @ (n_pl @ (ordsucc @ X0) @ X1))))))),
% 0.20/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz4h)).
% 0.20/0.51 thf(f927,plain,(
% 0.20/0.51 ($false = (in @ sK3 @ nat)) | ($false = (in @ sK2 @ nat))),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f925])).
% 0.20/0.51 thf(f925,plain,(
% 0.20/0.51 ($false = (in @ sK2 @ nat)) | ((ordsucc @ (n_pl @ sK2 @ sK3)) != (ordsucc @ (n_pl @ sK2 @ sK3))) | ($false = (in @ sK3 @ nat))),
% 0.20/0.51 inference(superposition,[],[f605,f614])).
% 0.20/0.51 thf(f614,plain,(
% 0.20/0.51 ( ! [X2 : $i,X1 : $i] : (((ordsucc @ (n_pl @ X1 @ X2)) = (n_pl @ (ordsucc @ X1) @ X2)) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false)) )),
% 0.20/0.51 inference(equality_proxy_clausification,[],[f613])).
% 0.20/0.51 thf(f613,plain,(
% 0.20/0.51 ( ! [X2 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false) | (((n_pl @ (ordsucc @ X1) @ X2) = (ordsucc @ (n_pl @ X1 @ X2))) = $true)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f612])).
% 0.20/0.51 thf(f612,plain,(
% 0.20/0.51 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | (((in @ X2 @ nat) => ((n_pl @ (ordsucc @ X1) @ X2) = (ordsucc @ (n_pl @ X1 @ X2)))) = $true)) )),
% 0.20/0.51 inference(beta_eta_normalization,[],[f611])).
% 0.20/0.51 thf(f611,plain,(
% 0.20/0.51 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_pl @ (ordsucc @ X1) @ Y0) = (ordsucc @ (n_pl @ X1 @ Y0))))) @ X2)) | ((in @ X1 @ nat) = $false)) )),
% 0.20/0.51 inference(pi_clausification,[],[f610])).
% 0.20/0.51 thf(f610,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_pl @ (ordsucc @ X1) @ Y0) = (ordsucc @ (n_pl @ X1 @ Y0)))))) = $true) | ((in @ X1 @ nat) = $false)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f609])).
% 0.20/0.51 thf(f609,plain,(
% 0.20/0.51 ( ! [X1 : $i] : ((((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_pl @ (ordsucc @ X1) @ Y0) = (ordsucc @ (n_pl @ X1 @ Y0))))))) = $true)) )),
% 0.20/0.51 inference(beta_eta_normalization,[],[f608])).
% 0.20/0.51 thf(f608,plain,(
% 0.20/0.51 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((n_pl @ (ordsucc @ Y0) @ Y1) = (ordsucc @ (n_pl @ Y0 @ Y1)))))))) @ X1) = $true)) )),
% 0.20/0.51 inference(pi_clausification,[],[f556])).
% 0.20/0.51 thf(f556,plain,(
% 0.20/0.51 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((n_pl @ (ordsucc @ Y0) @ Y1) = (ordsucc @ (n_pl @ Y0 @ Y1))))))))) = $true)),
% 0.20/0.51 inference(beta_eta_normalization,[],[f533])).
% 0.20/0.51 thf(f533,plain,(
% 0.20/0.51 ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i > $o]: (Y5 @ Y4)))) @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3 = Y4)))))) @ nat @ (n_pl @ (ordsucc @ Y0) @ Y1) @ (ordsucc @ (n_pl @ Y0 @ Y1))))))))),
% 0.20/0.51 inference(definition_unfolding,[],[f507,f522,f522,f523])).
% 0.20/0.51 thf(f507,plain,(
% 0.20/0.51 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (n_is @ (n_pl @ (ordsucc @ Y0) @ Y1) @ (ordsucc @ (n_pl @ Y0 @ Y1))))))))),
% 0.20/0.51 inference(cnf_transformation,[],[f272])).
% 0.20/0.51 thf(f272,plain,(
% 0.20/0.51 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (n_is @ (n_pl @ (ordsucc @ Y0) @ Y1) @ (ordsucc @ (n_pl @ Y0 @ Y1))))))))),
% 0.20/0.51 inference(fool_elimination,[],[f271])).
% 0.20/0.51 thf(f271,plain,(
% 0.20/0.51 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : (n_is @ (n_pl @ (ordsucc @ X1) @ X3) @ (ordsucc @ (n_pl @ X1 @ X3)))))))),
% 0.20/0.51 inference(rectify,[],[f189])).
% 0.20/0.51 thf(f189,axiom,(
% 0.20/0.51 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (n_is @ (n_pl @ (ordsucc @ X0) @ X1) @ (ordsucc @ (n_pl @ X0 @ X1)))))))),
% 0.20/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz4d)).
% 0.20/0.51 thf(f605,plain,(
% 0.20/0.51 ((n_pl @ (ordsucc @ sK2) @ sK3) != (ordsucc @ (n_pl @ sK2 @ sK3)))),
% 0.20/0.51 inference(equality_proxy_clausification,[],[f603])).
% 0.20/0.51 thf(f603,plain,(
% 0.20/0.51 ($false = ((ordsucc @ (n_pl @ sK2 @ sK3)) = (n_pl @ (ordsucc @ sK2) @ sK3)))),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f602])).
% 0.20/0.51 thf(f602,plain,(
% 0.20/0.51 (((in @ sK3 @ nat) => ((ordsucc @ (n_pl @ sK2 @ sK3)) = (n_pl @ (ordsucc @ sK2) @ sK3))) = $false)),
% 0.20/0.51 inference(beta_eta_normalization,[],[f601])).
% 0.20/0.51 thf(f601,plain,(
% 0.20/0.51 ($false = ((^[Y0 : $i]: ((in @ Y0 @ nat) => ((ordsucc @ (n_pl @ sK2 @ Y0)) = (n_pl @ (ordsucc @ sK2) @ Y0)))) @ sK3))),
% 0.20/0.51 inference(sigma_clausification,[],[f599])).
% 0.20/0.51 thf(f599,plain,(
% 0.20/0.51 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((ordsucc @ (n_pl @ sK2 @ Y0)) = (n_pl @ (ordsucc @ sK2) @ Y0))))) = $false)),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f598])).
% 0.20/0.51 thf(f604,plain,(
% 0.20/0.51 ($true = (in @ sK3 @ nat))),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f602])).
% 0.20/0.51 % SZS output end Proof for theBenchmark
% 0.20/0.51 % (18058)------------------------------
% 0.20/0.51 % (18058)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.51 % (18058)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (18058)Memory used [KB]: 6524
% 0.20/0.51 % (18058)Time elapsed: 0.037 s
% 0.20/0.51 % (18058)Instructions burned: 103 (million)
% 0.20/0.51 % (18058)------------------------------
% 0.20/0.51 % (18058)------------------------------
% 0.20/0.51 % (18030)Success in time 0.157 s
%------------------------------------------------------------------------------