TSTP Solution File: NUM673^4 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : NUM673^4 : TPTP v8.2.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n024.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 13:16:32 EDT 2024
% Result : Theorem 1.97s 0.69s
% Output : Refutation 1.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : NUM673^4 : TPTP v8.2.0. Released v7.1.0.
% 0.04/0.14 % Command : run_vampire %s %d THM
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Jun 22 19:27:54 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.23/0.38 This is a TH0_THM_EQU_NAR problem
% 0.23/0.38 Running higher-order theorem proving
% 0.23/0.38 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
% 0.23/0.41 % (19739)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)
% 0.23/0.42 % (19740)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.23/0.42 % (19740)Instruction limit reached!
% 0.23/0.42 % (19740)------------------------------
% 0.23/0.42 % (19740)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.42 % (19740)Termination reason: Unknown
% 0.23/0.42 % (19740)Termination phase: shuffling
% 0.23/0.42
% 0.23/0.42 % (19740)Memory used [KB]: 1663
% 0.23/0.42 % (19740)Time elapsed: 0.008 s
% 0.23/0.42 % (19740)Instructions burned: 18 (million)
% 0.23/0.42 % (19740)------------------------------
% 0.23/0.42 % (19740)------------------------------
% 0.23/0.42 % (19734)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.23/0.42 % (19735)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)
% 0.23/0.42 % (19736)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)
% 0.23/0.43 % (19735)Instruction limit reached!
% 0.23/0.43 % (19735)------------------------------
% 0.23/0.43 % (19735)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.43 % (19735)Termination reason: Unknown
% 0.23/0.43 % (19735)Termination phase: shuffling
% 0.23/0.43
% 0.23/0.43 % (19735)Memory used [KB]: 1407
% 0.23/0.43 % (19735)Time elapsed: 0.007 s
% 0.23/0.43 % (19735)Instructions burned: 4 (million)
% 0.23/0.43 % (19735)------------------------------
% 0.23/0.43 % (19735)------------------------------
% 0.23/0.43 % (19737)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.23/0.43 % (19737)Instruction limit reached!
% 0.23/0.43 % (19737)------------------------------
% 0.23/0.43 % (19737)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.43 % (19737)Termination reason: Unknown
% 0.23/0.43 % (19737)Termination phase: shuffling
% 0.23/0.43
% 0.23/0.43 % (19737)Memory used [KB]: 1279
% 0.23/0.43 % (19737)Time elapsed: 0.003 s
% 0.23/0.43 % (19737)Instructions burned: 2 (million)
% 0.23/0.43 % (19737)------------------------------
% 0.23/0.43 % (19737)------------------------------
% 0.23/0.43 % (19738)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)
% 0.23/0.43 % (19741)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)
% 0.23/0.43 % (19741)Instruction limit reached!
% 0.23/0.43 % (19741)------------------------------
% 0.23/0.43 % (19741)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.43 % (19741)Termination reason: Unknown
% 0.23/0.43 % (19741)Termination phase: shuffling
% 0.23/0.43 % (19739)Refutation not found, incomplete strategy
% 0.23/0.43 % (19739)------------------------------
% 0.23/0.43 % (19739)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.43
% 0.23/0.43 % (19741)Memory used [KB]: 1279
% 0.23/0.43 % (19739)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.43
% 0.23/0.43 % (19741)Time elapsed: 0.003 s
% 0.23/0.43
% 0.23/0.43 % (19741)Instructions burned: 3 (million)
% 0.23/0.43 % (19741)------------------------------
% 0.23/0.43 % (19741)------------------------------
% 0.23/0.43 % (19739)Memory used [KB]: 6268
% 0.23/0.43 % (19739)Time elapsed: 0.021 s
% 0.23/0.43 % (19739)Instructions burned: 43 (million)
% 0.23/0.43 % (19739)------------------------------
% 0.23/0.43 % (19739)------------------------------
% 0.23/0.43 % (19738)Instruction limit reached!
% 0.23/0.43 % (19738)------------------------------
% 0.23/0.43 % (19738)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.43 % (19738)Termination reason: Unknown
% 0.23/0.43 % (19738)Termination phase: shuffling
% 0.23/0.43
% 0.23/0.43 % (19738)Memory used [KB]: 1279
% 0.23/0.43 % (19738)Time elapsed: 0.005 s
% 0.23/0.43 % (19738)Instructions burned: 2 (million)
% 0.23/0.43 % (19738)------------------------------
% 0.23/0.43 % (19738)------------------------------
% 0.23/0.44 % (19742)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)
% 0.23/0.44 % (19736)Instruction limit reached!
% 0.23/0.44 % (19736)------------------------------
% 0.23/0.44 % (19736)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.44 % (19736)Termination reason: Unknown
% 0.23/0.44 % (19736)Termination phase: Property scanning
% 0.23/0.44
% 0.23/0.44 % (19736)Memory used [KB]: 1663
% 0.23/0.44 % (19736)Time elapsed: 0.021 s
% 0.23/0.44 % (19736)Instructions burned: 29 (million)
% 0.23/0.44 % (19736)------------------------------
% 0.23/0.44 % (19736)------------------------------
% 0.23/0.45 % (19743)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)
% 0.23/0.45 % (19745)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)
% 0.24/0.45 % (19744)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)
% 0.24/0.45 % (19746)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.24/0.45 % (19744)Instruction limit reached!
% 0.24/0.45 % (19744)------------------------------
% 0.24/0.45 % (19744)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.45 % (19744)Termination reason: Unknown
% 0.24/0.45 % (19744)Termination phase: shuffling
% 0.24/0.45
% 0.24/0.45 % (19744)Memory used [KB]: 1279
% 0.24/0.45 % (19744)Time elapsed: 0.004 s
% 0.24/0.45 % (19744)Instructions burned: 3 (million)
% 0.24/0.45 % (19744)------------------------------
% 0.24/0.45 % (19744)------------------------------
% 0.24/0.45 % (19746)Instruction limit reached!
% 0.24/0.45 % (19746)------------------------------
% 0.24/0.45 % (19746)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.45 % (19746)Termination reason: Unknown
% 0.24/0.45 % (19746)Termination phase: shuffling
% 0.24/0.45
% 0.24/0.45 % (19746)Memory used [KB]: 1407
% 0.24/0.45 % (19746)Time elapsed: 0.006 s
% 0.24/0.45 % (19746)Instructions burned: 7 (million)
% 0.24/0.45 % (19746)------------------------------
% 0.24/0.45 % (19746)------------------------------
% 0.24/0.45 % (19742)Instruction limit reached!
% 0.24/0.45 % (19742)------------------------------
% 0.24/0.45 % (19742)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.45 % (19742)Termination reason: Unknown
% 0.24/0.45 % (19742)Termination phase: Property scanning
% 0.24/0.45
% 0.24/0.45 % (19742)Memory used [KB]: 1791
% 0.24/0.45 % (19742)Time elapsed: 0.013 s
% 0.24/0.45 % (19742)Instructions burned: 40 (million)
% 0.24/0.45 % (19742)------------------------------
% 0.24/0.45 % (19742)------------------------------
% 0.24/0.46 % (19743)Instruction limit reached!
% 0.24/0.46 % (19743)------------------------------
% 0.24/0.46 % (19743)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.46 % (19743)Termination reason: Unknown
% 0.24/0.46 % (19743)Termination phase: shuffling
% 0.24/0.46
% 0.24/0.46 % (19743)Memory used [KB]: 1663
% 0.24/0.46 % (19743)Time elapsed: 0.011 s
% 0.24/0.46 % (19743)Instructions burned: 16 (million)
% 0.24/0.46 % (19743)------------------------------
% 0.24/0.46 % (19743)------------------------------
% 0.24/0.46 % (19747)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.24/0.46 % (19750)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)
% 0.24/0.47 % (19750)Instruction limit reached!
% 0.24/0.47 % (19750)------------------------------
% 0.24/0.47 % (19750)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.47 % (19750)Termination reason: Unknown
% 0.24/0.47 % (19750)Termination phase: shuffling
% 0.24/0.47
% 0.24/0.47 % (19750)Memory used [KB]: 1407
% 0.24/0.47 % (19750)Time elapsed: 0.004 s
% 0.24/0.47 % (19750)Instructions burned: 9 (million)
% 0.24/0.47 % (19750)------------------------------
% 0.24/0.47 % (19750)------------------------------
% 0.24/0.47 % (19748)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)
% 0.24/0.47 % (19747)Instruction limit reached!
% 0.24/0.47 % (19747)------------------------------
% 0.24/0.47 % (19747)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.47 % (19747)Termination reason: Unknown
% 0.24/0.47 % (19747)Termination phase: shuffling
% 0.24/0.47
% 0.24/0.47 % (19747)Memory used [KB]: 1535
% 0.24/0.47 % (19747)Time elapsed: 0.011 s
% 0.24/0.47 % (19747)Instructions burned: 16 (million)
% 0.24/0.47 % (19747)------------------------------
% 0.24/0.47 % (19747)------------------------------
% 0.24/0.47 % (19748)Instruction limit reached!
% 0.24/0.47 % (19748)------------------------------
% 0.24/0.47 % (19748)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.47 % (19748)Termination reason: Unknown
% 0.24/0.47 % (19748)Termination phase: shuffling
% 0.24/0.47
% 0.24/0.47 % (19748)Memory used [KB]: 1279
% 0.24/0.47 % (19748)Time elapsed: 0.004 s
% 0.24/0.47 % (19748)Instructions burned: 3 (million)
% 0.24/0.47 % (19748)------------------------------
% 0.24/0.47 % (19748)------------------------------
% 0.24/0.47 % (19749)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)
% 0.24/0.47 % (19751)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)
% 0.24/0.47 % (19749)Instruction limit reached!
% 0.24/0.47 % (19749)------------------------------
% 0.24/0.47 % (19749)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.47 % (19749)Termination reason: Unknown
% 0.24/0.47 % (19749)Termination phase: shuffling
% 0.24/0.47
% 0.24/0.47 % (19749)Memory used [KB]: 1279
% 0.24/0.47 % (19749)Time elapsed: 0.004 s
% 0.24/0.47 % (19749)Instructions burned: 3 (million)
% 0.24/0.47 % (19749)------------------------------
% 0.24/0.47 % (19749)------------------------------
% 0.24/0.47 % (19751)Instruction limit reached!
% 0.24/0.47 % (19751)------------------------------
% 0.24/0.47 % (19751)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.47 % (19751)Termination reason: Unknown
% 0.24/0.47 % (19751)Termination phase: shuffling
% 0.24/0.47
% 0.24/0.47 % (19751)Memory used [KB]: 1407
% 0.24/0.47 % (19751)Time elapsed: 0.003 s
% 0.24/0.47 % (19751)Instructions burned: 4 (million)
% 0.24/0.47 % (19751)------------------------------
% 0.24/0.47 % (19751)------------------------------
% 0.24/0.48 % (19752)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.24/0.48 % (19756)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)
% 0.24/0.48 % (19752)Instruction limit reached!
% 0.24/0.48 % (19752)------------------------------
% 0.24/0.48 % (19752)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.48 % (19752)Termination reason: Unknown
% 0.24/0.48 % (19752)Termination phase: shuffling
% 0.24/0.48
% 0.24/0.48 % (19752)Memory used [KB]: 1407
% 0.24/0.48 % (19752)Time elapsed: 0.004 s
% 0.24/0.48 % (19752)Instructions burned: 4 (million)
% 0.24/0.48 % (19752)------------------------------
% 0.24/0.48 % (19752)------------------------------
% 0.24/0.48 % (19753)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)
% 0.24/0.48 % (19754)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.24/0.49 % (19755)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.24/0.49 % (19755)Instruction limit reached!
% 0.24/0.49 % (19755)------------------------------
% 0.24/0.49 % (19755)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.49 % (19755)Termination reason: Unknown
% 0.24/0.49 % (19755)Termination phase: shuffling
% 0.24/0.49
% 0.24/0.49 % (19755)Memory used [KB]: 1407
% 0.24/0.49 % (19755)Time elapsed: 0.006 s
% 0.24/0.49 % (19755)Instructions burned: 7 (million)
% 0.24/0.49 % (19755)------------------------------
% 0.24/0.49 % (19755)------------------------------
% 0.24/0.49 % (19753)Instruction limit reached!
% 0.24/0.49 % (19753)------------------------------
% 0.24/0.49 % (19753)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.49 % (19753)Termination reason: Unknown
% 0.24/0.49 % (19753)Termination phase: shuffling
% 0.24/0.49
% 0.24/0.49 % (19753)Memory used [KB]: 1663
% 0.24/0.49 % (19753)Time elapsed: 0.012 s
% 0.24/0.49 % (19753)Instructions burned: 19 (million)
% 0.24/0.49 % (19753)------------------------------
% 0.24/0.49 % (19753)------------------------------
% 0.24/0.50 % (19734)Instruction limit reached!
% 0.24/0.50 % (19734)------------------------------
% 0.24/0.50 % (19734)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.50 % (19734)Termination reason: Unknown
% 0.24/0.50 % (19734)Termination phase: Function definition elimination
% 0.24/0.50
% 0.24/0.50 % (19734)Memory used [KB]: 2046
% 0.24/0.50 % (19734)Time elapsed: 0.077 s
% 0.24/0.50 % (19734)Instructions burned: 185 (million)
% 0.24/0.50 % (19734)------------------------------
% 0.24/0.50 % (19734)------------------------------
% 0.24/0.50 % (19757)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)
% 0.24/0.51 % (19758)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.24/0.51 % (19760)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)
% 0.24/0.51 % (19756)Refutation not found, incomplete strategy
% 0.24/0.51 % (19756)------------------------------
% 0.24/0.51 % (19756)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.51 % (19756)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.51
% 0.24/0.51
% 0.24/0.51 % (19756)Memory used [KB]: 6396
% 0.24/0.51 % (19756)Time elapsed: 0.026 s
% 0.24/0.51 % (19756)Instructions burned: 80 (million)
% 0.24/0.51 % (19756)------------------------------
% 0.24/0.51 % (19756)------------------------------
% 0.24/0.51 % (19760)Instruction limit reached!
% 0.24/0.51 % (19760)------------------------------
% 0.24/0.51 % (19760)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.51 % (19760)Termination reason: Unknown
% 0.24/0.51 % (19760)Termination phase: shuffling
% 0.24/0.51
% 0.24/0.51 % (19760)Memory used [KB]: 1407
% 0.24/0.51 % (19760)Time elapsed: 0.004 s
% 0.24/0.51 % (19760)Instructions burned: 8 (million)
% 0.24/0.51 % (19760)------------------------------
% 0.24/0.51 % (19760)------------------------------
% 0.24/0.51 % (19758)Instruction limit reached!
% 0.24/0.51 % (19758)------------------------------
% 0.24/0.51 % (19758)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.51 % (19758)Termination reason: Unknown
% 0.24/0.51 % (19758)Termination phase: shuffling
% 0.24/0.51
% 0.24/0.51 % (19758)Memory used [KB]: 1407
% 0.24/0.51 % (19758)Time elapsed: 0.005 s
% 0.24/0.51 % (19758)Instructions burned: 6 (million)
% 0.24/0.51 % (19758)------------------------------
% 0.24/0.51 % (19758)------------------------------
% 0.24/0.51 % (19761)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.24/0.51 % (19757)Instruction limit reached!
% 0.24/0.51 % (19757)------------------------------
% 0.24/0.51 % (19757)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.51 % (19757)Termination reason: Unknown
% 0.24/0.51 % (19757)Termination phase: shuffling
% 0.24/0.51
% 0.24/0.51 % (19757)Memory used [KB]: 1663
% 0.24/0.51 % (19757)Time elapsed: 0.013 s
% 0.24/0.51 % (19757)Instructions burned: 21 (million)
% 0.24/0.51 % (19757)------------------------------
% 0.24/0.51 % (19757)------------------------------
% 0.24/0.52 % (19762)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)
% 0.24/0.52 % (19763)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)
% 0.24/0.52 % (19765)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.24/0.52 % (19763)Instruction limit reached!
% 0.24/0.52 % (19763)------------------------------
% 0.24/0.52 % (19763)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.52 % (19763)Termination reason: Unknown
% 0.24/0.52 % (19763)Termination phase: shuffling
% 0.24/0.52
% 0.24/0.52 % (19763)Memory used [KB]: 1663
% 0.24/0.52 % (19763)Time elapsed: 0.008 s
% 0.24/0.52 % (19763)Instructions burned: 22 (million)
% 0.24/0.52 % (19763)------------------------------
% 0.24/0.52 % (19763)------------------------------
% 0.24/0.52 % (19764)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)
% 0.24/0.53 % (19765)Instruction limit reached!
% 0.24/0.53 % (19765)------------------------------
% 0.24/0.53 % (19765)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.53 % (19765)Termination reason: Unknown
% 0.24/0.53 % (19765)Termination phase: shuffling
% 0.24/0.53
% 0.24/0.53 % (19765)Memory used [KB]: 1663
% 0.24/0.53 % (19765)Time elapsed: 0.008 s
% 0.24/0.53 % (19765)Instructions burned: 17 (million)
% 0.24/0.53 % (19765)------------------------------
% 0.24/0.53 % (19765)------------------------------
% 0.24/0.53 % (19766)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.09/0.54 % (19766)Instruction limit reached!
% 1.09/0.54 % (19766)------------------------------
% 1.09/0.54 % (19766)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.09/0.54 % (19766)Termination reason: Unknown
% 1.09/0.54 % (19766)Termination phase: shuffling
% 1.09/0.54
% 1.09/0.54 % (19766)Memory used [KB]: 1279
% 1.09/0.54 % (19766)Time elapsed: 0.003 s
% 1.09/0.54 % (19766)Instructions burned: 4 (million)
% 1.09/0.54 % (19766)------------------------------
% 1.09/0.54 % (19766)------------------------------
% 1.09/0.54 % (19767)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.09/0.54 % (19768)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 1.09/0.55 % (19767)Instruction limit reached!
% 1.09/0.55 % (19767)------------------------------
% 1.09/0.55 % (19767)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.09/0.55 % (19767)Termination reason: Unknown
% 1.09/0.55 % (19767)Termination phase: Property scanning
% 1.09/0.55
% 1.09/0.55 % (19767)Memory used [KB]: 1663
% 1.09/0.55 % (19767)Time elapsed: 0.011 s
% 1.09/0.55 % (19767)Instructions burned: 31 (million)
% 1.09/0.55 % (19767)------------------------------
% 1.09/0.55 % (19767)------------------------------
% 1.22/0.56 % (19769)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.22/0.58 % (19768)Instruction limit reached!
% 1.22/0.58 % (19768)------------------------------
% 1.22/0.58 % (19768)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.22/0.58 % (19768)Termination reason: Unknown
% 1.22/0.58 % (19768)Termination phase: Function definition elimination
% 1.22/0.58
% 1.22/0.58 % (19768)Memory used [KB]: 2046
% 1.22/0.58 % (19768)Time elapsed: 0.033 s
% 1.22/0.58 % (19768)Instructions burned: 127 (million)
% 1.22/0.58 % (19768)------------------------------
% 1.22/0.58 % (19768)------------------------------
% 1.22/0.58 % (19769)Instruction limit reached!
% 1.22/0.58 % (19769)------------------------------
% 1.22/0.58 % (19769)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.22/0.58 % (19769)Termination reason: Unknown
% 1.22/0.58 % (19769)Termination phase: Function definition elimination
% 1.22/0.58
% 1.22/0.58 % (19769)Memory used [KB]: 2046
% 1.22/0.58 % (19769)Time elapsed: 0.027 s
% 1.22/0.58 % (19769)Instructions burned: 102 (million)
% 1.22/0.58 % (19769)------------------------------
% 1.22/0.58 % (19769)------------------------------
% 1.22/0.58 % (19770)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.22/0.59 % (19770)Instruction limit reached!
% 1.22/0.59 % (19770)------------------------------
% 1.22/0.59 % (19770)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.22/0.59 % (19770)Termination reason: Unknown
% 1.22/0.59 % (19770)Termination phase: shuffling
% 1.22/0.59
% 1.22/0.59 % (19770)Memory used [KB]: 1407
% 1.22/0.59 % (19770)Time elapsed: 0.003 s
% 1.22/0.59 % (19770)Instructions burned: 4 (million)
% 1.22/0.59 % (19770)------------------------------
% 1.22/0.59 % (19770)------------------------------
% 1.22/0.59 % (19761)Instruction limit reached!
% 1.22/0.59 % (19761)------------------------------
% 1.22/0.59 % (19761)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.22/0.59 % (19761)Termination reason: Unknown
% 1.22/0.59 % (19761)Termination phase: Function definition elimination
% 1.22/0.59
% 1.22/0.59 % (19761)Memory used [KB]: 2046
% 1.22/0.59 % (19761)Time elapsed: 0.082 s
% 1.22/0.59 % (19761)Instructions burned: 378 (million)
% 1.22/0.59 % (19761)------------------------------
% 1.22/0.59 % (19761)------------------------------
% 1.22/0.59 % (19771)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2997ds/20Mi)
% 1.22/0.59 % (19772)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 1.22/0.60 % (19771)Instruction limit reached!
% 1.22/0.60 % (19771)------------------------------
% 1.22/0.60 % (19771)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.22/0.60 % (19771)Termination reason: Unknown
% 1.22/0.60 % (19771)Termination phase: shuffling
% 1.22/0.60
% 1.22/0.60 % (19771)Memory used [KB]: 1663
% 1.22/0.60 % (19771)Time elapsed: 0.008 s
% 1.22/0.60 % (19771)Instructions burned: 20 (million)
% 1.22/0.60 % (19771)------------------------------
% 1.22/0.60 % (19771)------------------------------
% 1.22/0.60 % (19773)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 1.22/0.61 % (19774)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.22/0.62 % (19772)Instruction limit reached!
% 1.22/0.62 % (19772)------------------------------
% 1.22/0.62 % (19772)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.22/0.62 % (19772)Termination reason: Unknown
% 1.22/0.62 % (19772)Termination phase: Function definition elimination
% 1.22/0.62
% 1.22/0.62 % (19772)Memory used [KB]: 2046
% 1.22/0.62 % (19772)Time elapsed: 0.025 s
% 1.22/0.62 % (19772)Instructions burned: 90 (million)
% 1.22/0.62 % (19772)------------------------------
% 1.22/0.62 % (19772)------------------------------
% 1.22/0.62 % (19774)Instruction limit reached!
% 1.22/0.62 % (19774)------------------------------
% 1.22/0.62 % (19774)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.22/0.62 % (19774)Termination reason: Unknown
% 1.22/0.62 % (19774)Termination phase: Property scanning
% 1.22/0.62
% 1.22/0.62 % (19774)Memory used [KB]: 1791
% 1.22/0.62 % (19774)Time elapsed: 0.013 s
% 1.22/0.62 % (19774)Instructions burned: 40 (million)
% 1.22/0.62 % (19774)------------------------------
% 1.22/0.62 % (19774)------------------------------
% 1.22/0.63 % (19775)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2997ds/448Mi)
% 1.22/0.63 % (19776)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2997ds/46Mi)
% 1.70/0.63 % (19773)Instruction limit reached!
% 1.70/0.63 % (19773)------------------------------
% 1.70/0.63 % (19773)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.70/0.63 % (19773)Termination reason: Unknown
% 1.70/0.63 % (19773)Termination phase: Saturation
% 1.70/0.63
% 1.70/0.63 % (19773)Memory used [KB]: 6524
% 1.70/0.63 % (19773)Time elapsed: 0.033 s
% 1.70/0.63 % (19773)Instructions burned: 107 (million)
% 1.70/0.63 % (19773)------------------------------
% 1.70/0.63 % (19773)------------------------------
% 1.70/0.64 % (19777)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2997ds/98Mi)
% 1.70/0.64 % (19776)Instruction limit reached!
% 1.70/0.64 % (19776)------------------------------
% 1.70/0.64 % (19776)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.70/0.64 % (19776)Termination reason: Unknown
% 1.70/0.64 % (19776)Termination phase: Property scanning
% 1.70/0.64
% 1.70/0.64 % (19776)Memory used [KB]: 1791
% 1.70/0.64 % (19776)Time elapsed: 0.016 s
% 1.70/0.64 % (19776)Instructions burned: 48 (million)
% 1.70/0.64 % (19776)------------------------------
% 1.70/0.64 % (19776)------------------------------
% 1.70/0.65 % (19778)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2997ds/507Mi)
% 1.70/0.66 % (19777)Instruction limit reached!
% 1.70/0.66 % (19777)------------------------------
% 1.70/0.66 % (19777)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.70/0.66 % (19777)Termination reason: Unknown
% 1.70/0.66 % (19777)Termination phase: Function definition elimination
% 1.70/0.66
% 1.70/0.66 % (19777)Memory used [KB]: 2046
% 1.70/0.66 % (19777)Time elapsed: 0.026 s
% 1.70/0.66 % (19777)Instructions burned: 98 (million)
% 1.70/0.66 % (19777)------------------------------
% 1.70/0.66 % (19777)------------------------------
% 1.97/0.67 % (19779)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 1.97/0.68 % (19775)First to succeed.
% 1.97/0.69 % (19775)Refutation found. Thanks to Tanya!
% 1.97/0.69 % SZS status Theorem for theBenchmark
% 1.97/0.69 % SZS output start Proof for theBenchmark
% 1.97/0.69 thf(func_def_0, type, is_of: $i > ($i > $o) > $o).
% 1.97/0.69 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o).
% 1.97/0.69 thf(func_def_3, type, eps: ($i > $o) > $i).
% 1.97/0.69 thf(func_def_4, type, in: $i > $i > $o).
% 1.97/0.69 thf(func_def_5, type, d_Subq: $i > $i > $o).
% 1.97/0.69 thf(func_def_7, type, union: $i > $i).
% 1.97/0.69 thf(func_def_8, type, power: $i > $i).
% 1.97/0.69 thf(func_def_9, type, repl: $i > ($i > $i) > $i).
% 1.97/0.69 thf(func_def_10, type, d_Union_closed: $i > $o).
% 1.97/0.69 thf(func_def_11, type, d_Power_closed: $i > $o).
% 1.97/0.69 thf(func_def_12, type, d_Repl_closed: $i > $o).
% 1.97/0.69 thf(func_def_13, type, d_ZF_closed: $i > $o).
% 1.97/0.69 thf(func_def_14, type, univof: $i > $i).
% 1.97/0.69 thf(func_def_15, type, if: $o > $i > $i > $i).
% 1.97/0.69 thf(func_def_16, type, nIn: $i > $i > $o).
% 1.97/0.69 thf(func_def_17, type, d_UPair: $i > $i > $i).
% 1.97/0.69 thf(func_def_18, type, d_Sing: $i > $i).
% 1.97/0.69 thf(func_def_19, type, binunion: $i > $i > $i).
% 1.97/0.69 thf(func_def_20, type, famunion: $i > ($i > $i) > $i).
% 1.97/0.69 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i).
% 1.97/0.69 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
% 1.97/0.69 thf(func_def_23, type, setminus: $i > $i > $i).
% 1.97/0.69 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o).
% 1.97/0.69 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i).
% 1.97/0.69 thf(func_def_26, type, ordsucc: $i > $i).
% 1.97/0.69 thf(func_def_27, type, nat_p: $i > $o).
% 1.97/0.69 thf(func_def_29, type, d_Inj1: $i > $i).
% 1.97/0.69 thf(func_def_30, type, d_Inj0: $i > $i).
% 1.97/0.69 thf(func_def_31, type, d_Unj: $i > $i).
% 1.97/0.69 thf(func_def_32, type, pair: $i > $i > $i).
% 1.97/0.69 thf(func_def_33, type, proj0: $i > $i).
% 1.97/0.69 thf(func_def_34, type, proj1: $i > $i).
% 1.97/0.69 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i).
% 1.97/0.69 thf(func_def_36, type, setprod: $i > $i > $i).
% 1.97/0.69 thf(func_def_37, type, ap: $i > $i > $i).
% 1.97/0.69 thf(func_def_38, type, pair_p: $i > $o).
% 1.97/0.69 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i).
% 1.97/0.69 thf(func_def_40, type, imp: $o > $o > $o).
% 1.97/0.69 thf(func_def_41, type, d_not: $o > $o).
% 1.97/0.69 thf(func_def_42, type, wel: $o > $o).
% 1.97/0.69 thf(func_def_44, type, l_ec: $o > $o > $o).
% 1.97/0.69 thf(func_def_45, type, d_and: $o > $o > $o).
% 1.97/0.69 thf(func_def_46, type, l_or: $o > $o > $o).
% 1.97/0.69 thf(func_def_47, type, orec: $o > $o > $o).
% 1.97/0.69 thf(func_def_48, type, l_iff: $o > $o > $o).
% 1.97/0.69 thf(func_def_49, type, all: $i > ($i > $o) > $o).
% 1.97/0.69 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o).
% 1.97/0.69 thf(func_def_51, type, l_some: $i > ($i > $o) > $o).
% 1.97/0.69 thf(func_def_52, type, or3: $o > $o > $o > $o).
% 1.97/0.69 thf(func_def_53, type, and3: $o > $o > $o > $o).
% 1.97/0.69 thf(func_def_54, type, ec3: $o > $o > $o > $o).
% 1.97/0.69 thf(func_def_55, type, orec3: $o > $o > $o > $o).
% 1.97/0.69 thf(func_def_56, type, e_is: $i > $i > $i > $o).
% 1.97/0.69 thf(func_def_57, type, amone: $i > ($i > $o) > $o).
% 1.97/0.69 thf(func_def_58, type, one: $i > ($i > $o) > $o).
% 1.97/0.69 thf(func_def_59, type, ind: $i > ($i > $o) > $i).
% 1.97/0.69 thf(func_def_60, type, injective: $i > $i > $i > $o).
% 1.97/0.69 thf(func_def_61, type, image: $i > $i > $i > $i > $o).
% 1.97/0.69 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i).
% 1.97/0.69 thf(func_def_63, type, soft: $i > $i > $i > $i > $i).
% 1.97/0.69 thf(func_def_64, type, inverse: $i > $i > $i > $i).
% 1.97/0.69 thf(func_def_65, type, surjective: $i > $i > $i > $o).
% 1.97/0.69 thf(func_def_66, type, bijective: $i > $i > $i > $o).
% 1.97/0.69 thf(func_def_67, type, invf: $i > $i > $i > $i).
% 1.97/0.69 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i).
% 1.97/0.69 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i).
% 1.97/0.69 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i).
% 1.97/0.69 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i).
% 1.97/0.69 thf(func_def_72, type, first: $i > $i > $i > $i).
% 1.97/0.69 thf(func_def_73, type, second: $i > $i > $i > $i).
% 1.97/0.69 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o).
% 1.97/0.69 thf(func_def_75, type, ite: $o > $i > $i > $i > $i).
% 1.97/0.69 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i).
% 1.97/0.69 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i).
% 1.97/0.69 thf(func_def_78, type, wissel: $i > $i > $i > $i).
% 1.97/0.69 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i).
% 1.97/0.69 thf(func_def_80, type, r_ec: $o > $o > $o).
% 1.97/0.69 thf(func_def_81, type, esti: $i > $i > $i > $o).
% 1.97/0.69 thf(func_def_82, type, empty: $i > $i > $o).
% 1.97/0.69 thf(func_def_83, type, nonempty: $i > $i > $o).
% 1.97/0.69 thf(func_def_84, type, incl: $i > $i > $i > $o).
% 1.97/0.69 thf(func_def_85, type, st_disj: $i > $i > $i > $o).
% 1.97/0.69 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o).
% 1.97/0.69 thf(func_def_87, type, unmore: $i > $i > $i > $i).
% 1.97/0.69 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i).
% 1.97/0.69 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o).
% 1.97/0.69 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o).
% 1.97/0.69 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i).
% 1.97/0.69 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i).
% 1.97/0.69 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i).
% 1.97/0.69 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i).
% 1.97/0.69 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o).
% 1.97/0.69 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o).
% 1.97/0.69 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o).
% 1.97/0.69 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 1.97/0.69 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o).
% 1.97/0.69 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 1.97/0.69 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i).
% 1.97/0.69 thf(func_def_103, type, n_is: $i > $i > $o).
% 1.97/0.69 thf(func_def_104, type, nis: $i > $i > $o).
% 1.97/0.69 thf(func_def_105, type, n_in: $i > $i > $o).
% 1.97/0.69 thf(func_def_106, type, n_some: ($i > $o) > $o).
% 1.97/0.69 thf(func_def_107, type, n_all: ($i > $o) > $o).
% 1.97/0.69 thf(func_def_108, type, n_one: ($i > $o) > $o).
% 1.97/0.69 thf(func_def_110, type, cond1: $i > $o).
% 1.97/0.69 thf(func_def_111, type, cond2: $i > $o).
% 1.97/0.69 thf(func_def_112, type, i1_s: ($i > $o) > $i).
% 1.97/0.69 thf(func_def_113, type, d_22_prop1: $i > $o).
% 1.97/0.69 thf(func_def_114, type, d_23_prop1: $i > $o).
% 1.97/0.69 thf(func_def_115, type, d_24_prop1: $i > $o).
% 1.97/0.69 thf(func_def_116, type, d_24_prop2: $i > $i > $o).
% 1.97/0.69 thf(func_def_117, type, prop3: $i > $i > $i > $o).
% 1.97/0.69 thf(func_def_118, type, prop4: $i > $o).
% 1.97/0.69 thf(func_def_119, type, d_24_g: $i > $i).
% 1.97/0.69 thf(func_def_120, type, plus: $i > $i).
% 1.97/0.69 thf(func_def_121, type, n_pl: $i > $i > $i).
% 1.97/0.69 thf(func_def_122, type, d_25_prop1: $i > $i > $i > $o).
% 1.97/0.69 thf(func_def_123, type, d_26_prop1: $i > $i > $o).
% 1.97/0.69 thf(func_def_124, type, d_27_prop1: $i > $i > $o).
% 1.97/0.69 thf(func_def_125, type, d_28_prop1: $i > $i > $i > $o).
% 1.97/0.69 thf(func_def_126, type, diffprop: $i > $i > $i > $o).
% 1.97/0.69 thf(func_def_127, type, d_29_ii: $i > $i > $o).
% 1.97/0.69 thf(func_def_128, type, iii: $i > $i > $o).
% 1.97/0.69 thf(func_def_129, type, d_29_prop1: $i > $i > $o).
% 1.97/0.69 thf(func_def_130, type, moreis: $i > $i > $o).
% 1.97/0.69 thf(func_def_131, type, lessis: $i > $i > $o).
% 1.97/0.69 thf(func_def_152, type, sK1: ($i > $i) > ($i > $i) > $i > $i).
% 1.97/0.69 thf(func_def_153, type, sK2: ($i > $o) > $i).
% 1.97/0.69 thf(f1413,plain,(
% 1.97/0.69 $false),
% 1.97/0.69 inference(trivial_inequality_removal,[],[f1412])).
% 1.97/0.69 thf(f1412,plain,(
% 1.97/0.69 ($true = $false)),
% 1.97/0.69 inference(backward_demodulation,[],[f874,f1405])).
% 1.97/0.69 thf(f1405,plain,(
% 1.97/0.69 ((d_29_ii @ sK3 @ sK4) = $false)),
% 1.97/0.69 inference(trivial_inequality_removal,[],[f1404])).
% 1.97/0.69 thf(f1404,plain,(
% 1.97/0.69 ((d_29_ii @ sK3 @ sK4) = $false) | ($true = $false)),
% 1.97/0.69 inference(forward_demodulation,[],[f1403,f864])).
% 1.97/0.69 thf(f864,plain,(
% 1.97/0.69 ((in @ sK3 @ nat) = $true)),
% 1.97/0.69 inference(binary_proxy_clausification,[],[f862])).
% 1.97/0.69 thf(f862,plain,(
% 1.97/0.69 (((in @ sK3 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_29_ii @ sK3 @ Y0) => (d_29_ii @ (n_pl @ Y1 @ sK3) @ (n_pl @ Y1 @ Y0)))))))))) = $false)),
% 1.97/0.69 inference(beta_eta_normalization,[],[f861])).
% 1.97/0.69 thf(f861,plain,(
% 1.97/0.69 (((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((d_29_ii @ Y0 @ Y1) => (d_29_ii @ (n_pl @ Y2 @ Y0) @ (n_pl @ Y2 @ Y1))))))))))) @ sK3) = $false)),
% 1.97/0.69 inference(sigma_clausification,[],[f860])).
% 1.97/0.69 thf(f860,plain,(
% 1.97/0.69 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((d_29_ii @ Y0 @ Y1) => (d_29_ii @ (n_pl @ Y2 @ Y0) @ (n_pl @ Y2 @ Y1)))))))))))) = $false)),
% 1.97/0.69 inference(not_proxy_clausification,[],[f746])).
% 1.97/0.69 thf(f746,plain,(
% 1.97/0.69 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((d_29_ii @ Y0 @ Y1) => (d_29_ii @ (n_pl @ Y2 @ Y0) @ (n_pl @ Y2 @ Y1))))))))))))))),
% 1.97/0.69 inference(beta_eta_normalization,[],[f682])).
% 1.97/0.69 thf(f682,plain,(
% 1.97/0.69 ($true = (~ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i > $o]: (Y5 @ Y4)))) @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: (!! @ $i @ (^[Y4 : $i]: (((^[Y5 : $i]: ((^[Y6 : $i > $o]: (Y6 @ Y5)))) @ Y4 @ Y2) => (Y3 @ Y4))))))) @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: ((d_29_ii @ Y0 @ Y1) => (d_29_ii @ (n_pl @ Y2 @ Y0) @ (n_pl @ Y2 @ Y1)))))))))))),
% 1.97/0.69 inference(definition_unfolding,[],[f621,f681,f681,f681])).
% 1.97/0.69 thf(f681,plain,(
% 1.97/0.69 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 1.97/0.69 inference(definition_unfolding,[],[f661,f658])).
% 1.97/0.69 thf(f658,plain,(
% 1.97/0.69 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 1.97/0.69 inference(cnf_transformation,[],[f367])).
% 1.97/0.69 thf(f367,plain,(
% 1.97/0.69 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 1.97/0.69 inference(fool_elimination,[],[f1])).
% 1.97/0.69 thf(f1,axiom,(
% 1.97/0.69 (is_of = (^[X0 : $i, X1 : $i > $o] : (X1 @ X0)))),
% 1.97/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_is_of)).
% 1.97/0.69 thf(f661,plain,(
% 1.97/0.69 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 1.97/0.69 inference(cnf_transformation,[],[f280])).
% 1.97/0.69 thf(f280,plain,(
% 1.97/0.69 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 1.97/0.69 inference(fool_elimination,[],[f279])).
% 1.97/0.69 thf(f279,plain,(
% 1.97/0.69 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))),
% 1.97/0.69 inference(rectify,[],[f2])).
% 1.97/0.69 thf(f2,axiom,(
% 1.97/0.69 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))),
% 1.97/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_all_of)).
% 1.97/0.69 thf(f621,plain,(
% 1.97/0.69 ($true = (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (all_of @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: ((d_29_ii @ Y0 @ Y1) => (d_29_ii @ (n_pl @ Y2 @ Y0) @ (n_pl @ Y2 @ Y1)))))))))))),
% 1.97/0.69 inference(cnf_transformation,[],[f348])).
% 1.97/0.69 thf(f348,plain,(
% 1.97/0.69 ($true = (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (all_of @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: ((d_29_ii @ Y0 @ Y1) => (d_29_ii @ (n_pl @ Y2 @ Y0) @ (n_pl @ Y2 @ Y1)))))))))))),
% 1.97/0.69 inference(fool_elimination,[],[f347])).
% 1.97/0.69 thf(f347,plain,(
% 1.97/0.69 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : (all_of @ (^[X4 : $i] : (in @ X4 @ nat)) @ (^[X5 : $i] : ((d_29_ii @ X1 @ X3) => (d_29_ii @ (n_pl @ X5 @ X1) @ (n_pl @ X5 @ X3)))))))))),
% 1.97/0.69 inference(rectify,[],[f242])).
% 1.97/0.69 thf(f242,negated_conjecture,(
% 1.97/0.69 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X2 : $i] : ((d_29_ii @ X0 @ X1) => (d_29_ii @ (n_pl @ X2 @ X0) @ (n_pl @ X2 @ X1)))))))))),
% 1.97/0.69 inference(negated_conjecture,[],[f241])).
% 1.97/0.69 thf(f241,conjecture,(
% 1.97/0.69 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X2 : $i] : ((d_29_ii @ X0 @ X1) => (d_29_ii @ (n_pl @ X2 @ X0) @ (n_pl @ X2 @ X1)))))))))),
% 1.97/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz19d)).
% 1.97/0.69 thf(f1403,plain,(
% 1.97/0.69 ((in @ sK3 @ nat) = $false) | ((d_29_ii @ sK3 @ sK4) = $false)),
% 1.97/0.69 inference(trivial_inequality_removal,[],[f1402])).
% 1.97/0.69 thf(f1402,plain,(
% 1.97/0.69 ($true = $false) | ((in @ sK3 @ nat) = $false) | ((d_29_ii @ sK3 @ sK4) = $false)),
% 1.97/0.69 inference(forward_demodulation,[],[f1401,f868])).
% 1.97/0.69 thf(f868,plain,(
% 1.97/0.69 ($true = (in @ sK4 @ nat))),
% 1.97/0.69 inference(binary_proxy_clausification,[],[f866])).
% 1.97/0.69 thf(f866,plain,(
% 1.97/0.69 (((in @ sK4 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_29_ii @ sK3 @ sK4) => (d_29_ii @ (n_pl @ Y0 @ sK3) @ (n_pl @ Y0 @ sK4))))))) = $false)),
% 1.97/0.69 inference(beta_eta_normalization,[],[f865])).
% 1.97/0.69 thf(f865,plain,(
% 1.97/0.69 (((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_29_ii @ sK3 @ Y0) => (d_29_ii @ (n_pl @ Y1 @ sK3) @ (n_pl @ Y1 @ Y0)))))))) @ sK4) = $false)),
% 1.97/0.69 inference(sigma_clausification,[],[f863])).
% 1.97/0.69 thf(f863,plain,(
% 1.97/0.69 ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_29_ii @ sK3 @ Y0) => (d_29_ii @ (n_pl @ Y1 @ sK3) @ (n_pl @ Y1 @ Y0))))))))))),
% 1.97/0.69 inference(binary_proxy_clausification,[],[f862])).
% 1.97/0.69 thf(f1401,plain,(
% 1.97/0.69 ((in @ sK4 @ nat) = $false) | ((d_29_ii @ sK3 @ sK4) = $false) | ((in @ sK3 @ nat) = $false)),
% 1.97/0.69 inference(trivial_inequality_removal,[],[f1400])).
% 1.97/0.69 thf(f1400,plain,(
% 1.97/0.69 ($true = $false) | ((d_29_ii @ sK3 @ sK4) = $false) | ((in @ sK4 @ nat) = $false) | ((in @ sK3 @ nat) = $false)),
% 1.97/0.69 inference(forward_demodulation,[],[f1395,f872])).
% 1.97/0.69 thf(f872,plain,(
% 1.97/0.69 ((in @ sK5 @ nat) = $true)),
% 1.97/0.69 inference(binary_proxy_clausification,[],[f870])).
% 1.97/0.69 thf(f870,plain,(
% 1.97/0.69 (((in @ sK5 @ nat) => ((d_29_ii @ sK3 @ sK4) => (d_29_ii @ (n_pl @ sK5 @ sK3) @ (n_pl @ sK5 @ sK4)))) = $false)),
% 1.97/0.69 inference(beta_eta_normalization,[],[f869])).
% 1.97/0.69 thf(f869,plain,(
% 1.97/0.69 (((^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_29_ii @ sK3 @ sK4) => (d_29_ii @ (n_pl @ Y0 @ sK3) @ (n_pl @ Y0 @ sK4))))) @ sK5) = $false)),
% 1.97/0.69 inference(sigma_clausification,[],[f867])).
% 1.97/0.69 thf(f867,plain,(
% 1.97/0.69 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_29_ii @ sK3 @ sK4) => (d_29_ii @ (n_pl @ Y0 @ sK3) @ (n_pl @ Y0 @ sK4)))))) = $false)),
% 1.97/0.69 inference(binary_proxy_clausification,[],[f866])).
% 1.97/0.69 thf(f1395,plain,(
% 1.97/0.69 ((in @ sK5 @ nat) = $false) | ((in @ sK3 @ nat) = $false) | ((d_29_ii @ sK3 @ sK4) = $false) | ((in @ sK4 @ nat) = $false)),
% 1.97/0.69 inference(trivial_inequality_removal,[],[f1383])).
% 1.97/0.69 thf(f1383,plain,(
% 1.97/0.69 ((in @ sK4 @ nat) = $false) | ((d_29_ii @ sK3 @ sK4) = $false) | ($true = $false) | ((in @ sK3 @ nat) = $false) | ((in @ sK5 @ nat) = $false)),
% 1.97/0.69 inference(superposition,[],[f1131,f827])).
% 1.97/0.69 thf(f827,plain,(
% 1.97/0.69 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (d_29_ii @ (n_pl @ X1 @ X3) @ (n_pl @ X2 @ X3))) | ((in @ X2 @ nat) = $false) | ($false = (in @ X3 @ nat)) | ((in @ X1 @ nat) = $false) | ((d_29_ii @ X1 @ X2) = $false)) )),
% 1.97/0.69 inference(binary_proxy_clausification,[],[f826])).
% 1.97/0.69 thf(f826,plain,(
% 1.97/0.69 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (in @ X3 @ nat)) | ((in @ X2 @ nat) = $false) | ($true = ((d_29_ii @ X1 @ X2) => (d_29_ii @ (n_pl @ X1 @ X3) @ (n_pl @ X2 @ X3)))) | ((in @ X1 @ nat) = $false)) )),
% 1.97/0.69 inference(binary_proxy_clausification,[],[f825])).
% 1.97/0.69 thf(f825,plain,(
% 1.97/0.69 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((in @ X3 @ nat) => ((d_29_ii @ X1 @ X2) => (d_29_ii @ (n_pl @ X1 @ X3) @ (n_pl @ X2 @ X3))))) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false)) )),
% 1.97/0.69 inference(beta_eta_normalization,[],[f824])).
% 1.97/0.69 thf(f824,plain,(
% 1.97/0.69 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | (((^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_29_ii @ X1 @ X2) => (d_29_ii @ (n_pl @ X1 @ Y0) @ (n_pl @ X2 @ Y0))))) @ X3) = $true) | ((in @ X2 @ nat) = $false)) )),
% 1.97/0.69 inference(pi_clausification,[],[f823])).
% 1.97/0.69 thf(f823,plain,(
% 1.97/0.69 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_29_ii @ X1 @ X2) => (d_29_ii @ (n_pl @ X1 @ Y0) @ (n_pl @ X2 @ Y0))))))) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false)) )),
% 1.97/0.69 inference(binary_proxy_clausification,[],[f822])).
% 1.97/0.69 thf(f822,plain,(
% 1.97/0.69 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | (((in @ X2 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_29_ii @ X1 @ X2) => (d_29_ii @ (n_pl @ X1 @ Y0) @ (n_pl @ X2 @ Y0))))))) = $true)) )),
% 1.97/0.69 inference(beta_eta_normalization,[],[f821])).
% 1.97/0.69 thf(f821,plain,(
% 1.97/0.69 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_29_ii @ X1 @ Y0) => (d_29_ii @ (n_pl @ X1 @ Y1) @ (n_pl @ Y0 @ Y1)))))))) @ X2))) )),
% 1.97/0.69 inference(pi_clausification,[],[f820])).
% 1.97/0.69 thf(f820,plain,(
% 1.97/0.69 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_29_ii @ X1 @ Y0) => (d_29_ii @ (n_pl @ X1 @ Y1) @ (n_pl @ Y0 @ Y1)))))))))) | ((in @ X1 @ nat) = $false)) )),
% 1.97/0.69 inference(binary_proxy_clausification,[],[f819])).
% 1.97/0.69 thf(f819,plain,(
% 1.97/0.69 ( ! [X1 : $i] : ((((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_29_ii @ X1 @ Y0) => (d_29_ii @ (n_pl @ X1 @ Y1) @ (n_pl @ Y0 @ Y1)))))))))) = $true)) )),
% 1.97/0.69 inference(beta_eta_normalization,[],[f818])).
% 1.97/0.69 thf(f818,plain,(
% 1.97/0.69 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((d_29_ii @ Y0 @ Y1) => (d_29_ii @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y2))))))))))) @ X1))) )),
% 1.97/0.69 inference(pi_clausification,[],[f751])).
% 1.97/0.69 thf(f751,plain,(
% 1.97/0.69 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((d_29_ii @ Y0 @ Y1) => (d_29_ii @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y2)))))))))))))),
% 1.97/0.69 inference(beta_eta_normalization,[],[f683])).
% 1.97/0.69 thf(f683,plain,(
% 1.97/0.69 ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i > $o]: (Y5 @ Y4)))) @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: (!! @ $i @ (^[Y4 : $i]: (((^[Y5 : $i]: ((^[Y6 : $i > $o]: (Y6 @ Y5)))) @ Y4 @ Y2) => (Y3 @ Y4))))))) @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: ((d_29_ii @ Y0 @ Y1) => (d_29_ii @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y2))))))))))),
% 1.97/0.69 inference(definition_unfolding,[],[f622,f681,f681,f681])).
% 1.97/0.69 thf(f622,plain,(
% 1.97/0.69 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (all_of @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: ((d_29_ii @ Y0 @ Y1) => (d_29_ii @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y2))))))))))),
% 1.97/0.69 inference(cnf_transformation,[],[f553])).
% 1.97/0.69 thf(f553,plain,(
% 1.97/0.69 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (all_of @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: ((d_29_ii @ Y0 @ Y1) => (d_29_ii @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y2))))))))))),
% 1.97/0.69 inference(fool_elimination,[],[f552])).
% 1.97/0.69 thf(f552,plain,(
% 1.97/0.69 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : (all_of @ (^[X4 : $i] : (in @ X4 @ nat)) @ (^[X5 : $i] : ((d_29_ii @ X1 @ X3) => (d_29_ii @ (n_pl @ X1 @ X5) @ (n_pl @ X3 @ X5)))))))))),
% 1.97/0.69 inference(rectify,[],[f238])).
% 1.97/0.69 thf(f238,axiom,(
% 1.97/0.69 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X2 : $i] : ((d_29_ii @ X0 @ X1) => (d_29_ii @ (n_pl @ X0 @ X2) @ (n_pl @ X1 @ X2)))))))))),
% 1.97/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz19a)).
% 1.97/0.69 thf(f1131,plain,(
% 1.97/0.69 ((d_29_ii @ (n_pl @ sK3 @ sK5) @ (n_pl @ sK4 @ sK5)) = $false)),
% 1.97/0.69 inference(trivial_inequality_removal,[],[f1130])).
% 1.97/0.69 thf(f1130,plain,(
% 1.97/0.69 ($true = $false) | ((d_29_ii @ (n_pl @ sK3 @ sK5) @ (n_pl @ sK4 @ sK5)) = $false)),
% 1.97/0.69 inference(forward_demodulation,[],[f1129,f872])).
% 1.97/0.69 thf(f1129,plain,(
% 1.97/0.69 ((in @ sK5 @ nat) = $false) | ((d_29_ii @ (n_pl @ sK3 @ sK5) @ (n_pl @ sK4 @ sK5)) = $false)),
% 1.97/0.69 inference(trivial_inequality_removal,[],[f1128])).
% 1.97/0.69 thf(f1128,plain,(
% 1.97/0.69 ((d_29_ii @ (n_pl @ sK3 @ sK5) @ (n_pl @ sK4 @ sK5)) = $false) | ($true = $false) | ((in @ sK5 @ nat) = $false)),
% 1.97/0.69 inference(forward_demodulation,[],[f1127,f864])).
% 1.97/0.69 thf(f1127,plain,(
% 1.97/0.69 ((in @ sK3 @ nat) = $false) | ((d_29_ii @ (n_pl @ sK3 @ sK5) @ (n_pl @ sK4 @ sK5)) = $false) | ((in @ sK5 @ nat) = $false)),
% 1.97/0.69 inference(superposition,[],[f1113,f995])).
% 1.97/0.69 thf(f995,plain,(
% 1.97/0.69 ( ! [X2 : $i,X1 : $i] : (((n_pl @ X1 @ X2) = (n_pl @ X2 @ X1)) | ((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false)) )),
% 1.97/0.69 inference(equality_proxy_clausification,[],[f994])).
% 1.97/0.69 thf(f994,plain,(
% 1.97/0.69 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = ((n_pl @ X1 @ X2) = (n_pl @ X2 @ X1))) | ((in @ X2 @ nat) = $false)) )),
% 1.97/0.69 inference(binary_proxy_clausification,[],[f993])).
% 1.97/0.69 thf(f993,plain,(
% 1.97/0.69 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = ((in @ X2 @ nat) => ((n_pl @ X1 @ X2) = (n_pl @ X2 @ X1))))) )),
% 1.97/0.69 inference(beta_eta_normalization,[],[f992])).
% 1.97/0.69 thf(f992,plain,(
% 1.97/0.69 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | (((^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_pl @ X1 @ Y0) = (n_pl @ Y0 @ X1)))) @ X2) = $true)) )),
% 1.97/0.69 inference(pi_clausification,[],[f991])).
% 1.97/0.69 thf(f991,plain,(
% 1.97/0.69 ( ! [X1 : $i] : (((in @ X1 @ nat) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_pl @ X1 @ Y0) = (n_pl @ Y0 @ X1))))) = $true)) )),
% 1.97/0.69 inference(binary_proxy_clausification,[],[f990])).
% 1.97/0.69 thf(f990,plain,(
% 1.97/0.69 ( ! [X1 : $i] : (($true = ((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_pl @ X1 @ Y0) = (n_pl @ Y0 @ X1)))))))) )),
% 1.97/0.69 inference(beta_eta_normalization,[],[f989])).
% 1.97/0.69 thf(f989,plain,(
% 1.97/0.69 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((n_pl @ Y0 @ Y1) = (n_pl @ Y1 @ Y0))))))) @ X1))) )),
% 1.97/0.69 inference(pi_clausification,[],[f731])).
% 1.97/0.69 thf(f731,plain,(
% 1.97/0.69 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((n_pl @ Y0 @ Y1) = (n_pl @ Y1 @ Y0)))))))) = $true)),
% 1.97/0.69 inference(beta_eta_normalization,[],[f713])).
% 1.97/0.69 thf(f713,plain,(
% 1.97/0.69 ($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 @ Y0 @ Y1) @ (n_pl @ Y1 @ Y0)))))))),
% 1.97/0.69 inference(definition_unfolding,[],[f671,f681,f681,f679])).
% 1.97/0.69 thf(f679,plain,(
% 1.97/0.69 (n_is = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))) @ nat))),
% 1.97/0.69 inference(definition_unfolding,[],[f636,f644])).
% 1.97/0.69 thf(f644,plain,(
% 1.97/0.69 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
% 1.97/0.69 inference(cnf_transformation,[],[f452])).
% 1.97/0.69 thf(f452,plain,(
% 1.97/0.69 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
% 1.97/0.69 inference(fool_elimination,[],[f451])).
% 1.97/0.69 thf(f451,plain,(
% 1.97/0.69 (e_is = (^[X0 : $i, X1 : $i, X2 : $i] : ((X1 = X2))))),
% 1.97/0.69 inference(rectify,[],[f91])).
% 1.97/0.69 thf(f91,axiom,(
% 1.97/0.69 (e_is = (^[X0 : $i, X7 : $i, X8 : $i] : ((X7 = X8))))),
% 1.97/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_e_is)).
% 1.97/0.69 thf(f636,plain,(
% 1.97/0.69 (n_is = (e_is @ nat))),
% 1.97/0.69 inference(cnf_transformation,[],[f543])).
% 1.97/0.69 thf(f543,plain,(
% 1.97/0.69 (n_is = (e_is @ nat))),
% 1.97/0.69 inference(fool_elimination,[],[f157])).
% 1.97/0.69 thf(f157,axiom,(
% 1.97/0.69 (n_is = (e_is @ nat))),
% 1.97/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_n_is)).
% 1.97/0.69 thf(f671,plain,(
% 1.97/0.69 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (n_is @ (n_pl @ Y0 @ Y1) @ (n_pl @ Y1 @ Y0)))))) = $true)),
% 1.97/0.69 inference(cnf_transformation,[],[f490])).
% 1.97/0.69 thf(f490,plain,(
% 1.97/0.69 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (n_is @ (n_pl @ Y0 @ Y1) @ (n_pl @ Y1 @ Y0)))))) = $true)),
% 1.97/0.69 inference(fool_elimination,[],[f489])).
% 1.97/0.69 thf(f489,plain,(
% 1.97/0.69 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : (n_is @ (n_pl @ X1 @ X3) @ (n_pl @ X3 @ X1))))))),
% 1.97/0.69 inference(rectify,[],[f197])).
% 1.97/0.69 thf(f197,axiom,(
% 1.97/0.69 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (n_is @ (n_pl @ X0 @ X1) @ (n_pl @ X1 @ X0))))))),
% 1.97/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz6)).
% 1.97/0.69 thf(f1113,plain,(
% 1.97/0.69 ($false = (d_29_ii @ (n_pl @ sK5 @ sK3) @ (n_pl @ sK4 @ sK5)))),
% 1.97/0.69 inference(trivial_inequality_removal,[],[f1112])).
% 1.97/0.69 thf(f1112,plain,(
% 1.97/0.69 ($false = (d_29_ii @ (n_pl @ sK5 @ sK3) @ (n_pl @ sK4 @ sK5))) | ($true = $false)),
% 1.97/0.69 inference(forward_demodulation,[],[f1111,f872])).
% 1.97/0.69 thf(f1111,plain,(
% 1.97/0.69 ($false = (d_29_ii @ (n_pl @ sK5 @ sK3) @ (n_pl @ sK4 @ sK5))) | ((in @ sK5 @ nat) = $false)),
% 1.97/0.69 inference(trivial_inequality_removal,[],[f1110])).
% 1.97/0.69 thf(f1110,plain,(
% 1.97/0.69 ((in @ sK5 @ nat) = $false) | ($false = (d_29_ii @ (n_pl @ sK5 @ sK3) @ (n_pl @ sK4 @ sK5))) | ($true = $false)),
% 1.97/0.69 inference(forward_demodulation,[],[f1109,f868])).
% 1.97/0.69 thf(f1109,plain,(
% 1.97/0.69 ($false = (d_29_ii @ (n_pl @ sK5 @ sK3) @ (n_pl @ sK4 @ sK5))) | ((in @ sK4 @ nat) = $false) | ((in @ sK5 @ nat) = $false)),
% 1.97/0.69 inference(superposition,[],[f873,f995])).
% 1.97/0.69 thf(f873,plain,(
% 1.97/0.69 ((d_29_ii @ (n_pl @ sK5 @ sK3) @ (n_pl @ sK5 @ sK4)) = $false)),
% 1.97/0.69 inference(binary_proxy_clausification,[],[f871])).
% 1.97/0.69 thf(f871,plain,(
% 1.97/0.69 (((d_29_ii @ sK3 @ sK4) => (d_29_ii @ (n_pl @ sK5 @ sK3) @ (n_pl @ sK5 @ sK4))) = $false)),
% 1.97/0.69 inference(binary_proxy_clausification,[],[f870])).
% 1.97/0.69 thf(f874,plain,(
% 1.97/0.69 ((d_29_ii @ sK3 @ sK4) = $true)),
% 1.97/0.69 inference(binary_proxy_clausification,[],[f871])).
% 1.97/0.69 % SZS output end Proof for theBenchmark
% 1.97/0.69 % (19775)------------------------------
% 1.97/0.69 % (19775)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.97/0.69 % (19775)Termination reason: Refutation
% 1.97/0.69
% 1.97/0.69 % (19775)Memory used [KB]: 6780
% 1.97/0.69 % (19775)Time elapsed: 0.060 s
% 1.97/0.69 % (19775)Instructions burned: 156 (million)
% 1.97/0.69 % (19775)------------------------------
% 1.97/0.69 % (19775)------------------------------
% 1.97/0.69 % (19732)Success in time 0.306 s
%------------------------------------------------------------------------------