TSTP Solution File: SWV073^7 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWV073^7 : TPTP v8.2.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n032.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 17:34:08 EDT 2024
% Result : Theorem 1.58s 0.60s
% Output : Refutation 1.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SWV073^7 : TPTP v8.2.0. Released v5.5.0.
% 0.02/0.11 % Command : run_vampire %s %d THM
% 0.10/0.31 % Computer : n032.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu Jun 20 18:40:54 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.32 This is a TH0_THM_EQU_NAR problem
% 0.16/0.32 Running higher-order theorem proving
% 0.16/0.32 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
% 0.16/0.36 % (756)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.17/0.36 % (759)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)
% 0.17/0.36 % (757)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)
% 0.17/0.36 % (763)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.17/0.36 % (762)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)
% 0.17/0.36 % (760)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.36 % (761)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)
% 0.17/0.36 % (760)Instruction limit reached!
% 0.17/0.36 % (760)------------------------------
% 0.17/0.36 % (760)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.36 % (760)Termination reason: Unknown
% 0.17/0.36 % (760)Termination phase: shuffling
% 0.17/0.36
% 0.17/0.36 % (761)Instruction limit reached!
% 0.17/0.36 % (761)------------------------------
% 0.17/0.36 % (761)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.36 % (761)Termination reason: Unknown
% 0.17/0.36 % (761)Termination phase: shuffling
% 0.17/0.36
% 0.17/0.36 % (761)Memory used [KB]: 1407
% 0.17/0.36 % (761)Time elapsed: 0.003 s
% 0.17/0.36 % (761)Instructions burned: 3 (million)
% 0.17/0.36 % (761)------------------------------
% 0.17/0.36 % (761)------------------------------
% 0.17/0.36 % (760)Memory used [KB]: 1407
% 0.17/0.36 % (760)Time elapsed: 0.003 s
% 0.17/0.36 % (760)Instructions burned: 3 (million)
% 0.17/0.36 % (760)------------------------------
% 0.17/0.36 % (760)------------------------------
% 0.17/0.36 % (757)Instruction limit reached!
% 0.17/0.36 % (757)------------------------------
% 0.17/0.36 % (757)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.36 % (757)Termination reason: Unknown
% 0.17/0.36 % (757)Termination phase: shuffling
% 0.17/0.36
% 0.17/0.36 % (757)Memory used [KB]: 1407
% 0.17/0.36 % (757)Time elapsed: 0.004 s
% 0.17/0.36 % (757)Instructions burned: 4 (million)
% 0.17/0.36 % (757)------------------------------
% 0.17/0.36 % (757)------------------------------
% 0.17/0.37 % (763)Instruction limit reached!
% 0.17/0.37 % (763)------------------------------
% 0.17/0.37 % (763)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.37 % (763)Termination reason: Unknown
% 0.17/0.37 % (763)Termination phase: shuffling
% 0.17/0.37
% 0.17/0.37 % (763)Memory used [KB]: 1535
% 0.17/0.37 % (763)Time elapsed: 0.009 s
% 0.17/0.37 % (763)Instructions burned: 18 (million)
% 0.17/0.37 % (763)------------------------------
% 0.17/0.37 % (763)------------------------------
% 0.17/0.37 % (759)Instruction limit reached!
% 0.17/0.37 % (759)------------------------------
% 0.17/0.37 % (759)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.37 % (759)Termination reason: Unknown
% 0.17/0.37 % (759)Termination phase: shuffling
% 0.17/0.37
% 0.17/0.37 % (759)Memory used [KB]: 1791
% 0.17/0.37 % (759)Time elapsed: 0.013 s
% 0.17/0.37 % (759)Instructions burned: 27 (million)
% 0.17/0.37 % (759)------------------------------
% 0.17/0.37 % (759)------------------------------
% 0.17/0.38 % (764)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)
% 0.17/0.38 % (767)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)
% 0.17/0.38 % (765)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)
% 0.17/0.38 % (764)Instruction limit reached!
% 0.17/0.38 % (764)------------------------------
% 0.17/0.38 % (764)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.38 % (764)Termination reason: Unknown
% 0.17/0.38 % (764)Termination phase: shuffling
% 0.17/0.38
% 0.17/0.38 % (764)Memory used [KB]: 1407
% 0.17/0.38 % (764)Time elapsed: 0.003 s
% 0.17/0.38 % (764)Instructions burned: 4 (million)
% 0.17/0.38 % (764)------------------------------
% 0.17/0.38 % (764)------------------------------
% 0.17/0.38 % (768)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)
% 0.17/0.38 % (767)Instruction limit reached!
% 0.17/0.38 % (767)------------------------------
% 0.17/0.38 % (767)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.38 % (767)Termination reason: Unknown
% 0.17/0.38 % (767)Termination phase: shuffling
% 0.17/0.38
% 0.17/0.38 % (767)Memory used [KB]: 1535
% 0.17/0.38 % (767)Time elapsed: 0.009 s
% 0.17/0.38 % (767)Instructions burned: 16 (million)
% 0.17/0.38 % (767)------------------------------
% 0.17/0.38 % (767)------------------------------
% 0.17/0.38 % (768)Instruction limit reached!
% 0.17/0.38 % (768)------------------------------
% 0.17/0.38 % (768)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.38 % (768)Termination reason: Unknown
% 0.17/0.38 % (768)Termination phase: shuffling
% 0.17/0.38
% 0.17/0.38 % (768)Memory used [KB]: 1407
% 0.17/0.38 % (768)Time elapsed: 0.003 s
% 0.17/0.38 % (768)Instructions burned: 4 (million)
% 0.17/0.38 % (768)------------------------------
% 0.17/0.38 % (768)------------------------------
% 0.17/0.39 % (770)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)
% 0.17/0.39 % (771)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.39 % (765)Instruction limit reached!
% 0.17/0.39 % (765)------------------------------
% 0.17/0.39 % (765)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.39 % (765)Termination reason: Unknown
% 0.17/0.39 % (765)Termination phase: Property scanning
% 0.17/0.39
% 0.17/0.39 % (765)Memory used [KB]: 1918
% 0.17/0.39 % (765)Time elapsed: 0.018 s
% 0.17/0.39 % (765)Instructions burned: 39 (million)
% 0.17/0.39 % (765)------------------------------
% 0.17/0.39 % (765)------------------------------
% 0.17/0.39 % (771)Instruction limit reached!
% 0.17/0.39 % (771)------------------------------
% 0.17/0.39 % (771)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.39 % (771)Termination reason: Unknown
% 0.17/0.39 % (771)Termination phase: shuffling
% 0.17/0.39
% 0.17/0.39 % (771)Memory used [KB]: 1407
% 0.17/0.39 % (771)Time elapsed: 0.005 s
% 0.17/0.39 % (771)Instructions burned: 7 (million)
% 0.17/0.39 % (771)------------------------------
% 0.17/0.39 % (771)------------------------------
% 0.17/0.40 % (762)Refutation not found, incomplete strategy
% 0.17/0.40 % (762)------------------------------
% 0.17/0.40 % (762)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.40 % (762)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.40
% 0.17/0.40
% 0.17/0.40 % (762)Memory used [KB]: 6524
% 0.17/0.40 % (762)Time elapsed: 0.035 s
% 0.17/0.40 % (762)Instructions burned: 78 (million)
% 0.17/0.40 % (762)------------------------------
% 0.17/0.40 % (762)------------------------------
% 0.17/0.40 % (772)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.17/0.40 % (773)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)
% 0.17/0.40 % (773)Instruction limit reached!
% 0.17/0.40 % (773)------------------------------
% 0.17/0.40 % (773)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.40 % (773)Termination reason: Unknown
% 0.17/0.40 % (773)Termination phase: shuffling
% 0.17/0.40
% 0.17/0.40 % (773)Memory used [KB]: 1407
% 0.17/0.40 % (773)Time elapsed: 0.003 s
% 0.17/0.40 % (773)Instructions burned: 4 (million)
% 0.17/0.40 % (773)------------------------------
% 0.17/0.40 % (773)------------------------------
% 0.17/0.40 % (772)Instruction limit reached!
% 0.17/0.40 % (772)------------------------------
% 0.17/0.40 % (772)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.40 % (772)Termination reason: Unknown
% 0.17/0.40 % (772)Termination phase: shuffling
% 0.17/0.40
% 0.17/0.40 % (772)Memory used [KB]: 1535
% 0.17/0.40 % (772)Time elapsed: 0.009 s
% 0.17/0.40 % (772)Instructions burned: 18 (million)
% 0.17/0.40 % (772)------------------------------
% 0.17/0.40 % (772)------------------------------
% 0.17/0.41 % (774)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)
% 0.17/0.41 % (777)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)
% 0.17/0.41 % (774)Instruction limit reached!
% 0.17/0.41 % (774)------------------------------
% 0.17/0.41 % (774)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.41 % (774)Termination reason: Unknown
% 0.17/0.41 % (774)Termination phase: shuffling
% 0.17/0.41
% 0.17/0.41 % (774)Memory used [KB]: 1407
% 0.17/0.41 % (774)Time elapsed: 0.003 s
% 0.17/0.41 % (774)Instructions burned: 4 (million)
% 0.17/0.41 % (774)------------------------------
% 0.17/0.41 % (774)------------------------------
% 0.17/0.41 % (778)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)
% 0.17/0.41 % (777)Instruction limit reached!
% 0.17/0.41 % (777)------------------------------
% 0.17/0.41 % (777)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.41 % (777)Termination reason: Unknown
% 0.17/0.41 % (777)Termination phase: shuffling
% 0.17/0.41
% 0.17/0.41 % (777)Memory used [KB]: 1407
% 0.17/0.41 % (777)Time elapsed: 0.005 s
% 0.17/0.41 % (777)Instructions burned: 7 (million)
% 0.17/0.41 % (777)------------------------------
% 0.17/0.41 % (777)------------------------------
% 0.17/0.41 % (778)Instruction limit reached!
% 0.17/0.41 % (778)------------------------------
% 0.17/0.41 % (778)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.41 % (778)Termination reason: Unknown
% 0.17/0.41 % (778)Termination phase: shuffling
% 0.17/0.41
% 0.17/0.41 % (778)Memory used [KB]: 1407
% 0.17/0.41 % (778)Time elapsed: 0.003 s
% 0.17/0.41 % (778)Instructions burned: 3 (million)
% 0.17/0.41 % (778)------------------------------
% 0.17/0.41 % (778)------------------------------
% 0.17/0.41 % (779)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.17/0.42 % (779)Instruction limit reached!
% 0.17/0.42 % (779)------------------------------
% 0.17/0.42 % (779)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.42 % (779)Termination reason: Unknown
% 0.17/0.42 % (779)Termination phase: shuffling
% 0.17/0.42
% 0.17/0.42 % (779)Memory used [KB]: 1407
% 0.17/0.42 % (779)Time elapsed: 0.004 s
% 0.17/0.42 % (779)Instructions burned: 5 (million)
% 0.17/0.42 % (779)------------------------------
% 0.17/0.42 % (779)------------------------------
% 0.17/0.42 % (780)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)
% 0.17/0.42 % (781)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.17/0.42 % (782)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.17/0.42 % (783)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)
% 0.17/0.43 % (756)Instruction limit reached!
% 0.17/0.43 % (756)------------------------------
% 0.17/0.43 % (756)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.43 % (756)Termination reason: Unknown
% 0.17/0.43 % (756)Termination phase: Saturation
% 0.17/0.43
% 0.17/0.43 % (756)Memory used [KB]: 6908
% 0.17/0.43 % (756)Time elapsed: 0.069 s
% 0.17/0.43 % (756)Instructions burned: 183 (million)
% 0.17/0.43 % (756)------------------------------
% 0.17/0.43 % (756)------------------------------
% 0.17/0.43 % (780)Instruction limit reached!
% 0.17/0.43 % (780)------------------------------
% 0.17/0.43 % (780)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.43 % (780)Termination reason: Unknown
% 0.17/0.43 % (780)Termination phase: shuffling
% 0.17/0.43
% 0.17/0.43 % (780)Memory used [KB]: 1535
% 0.17/0.43 % (780)Time elapsed: 0.010 s
% 0.17/0.43 % (780)Instructions burned: 19 (million)
% 0.17/0.43 % (780)------------------------------
% 0.17/0.43 % (780)------------------------------
% 0.17/0.43 % (782)Instruction limit reached!
% 0.17/0.43 % (782)------------------------------
% 0.17/0.43 % (782)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.43 % (782)Termination reason: Unknown
% 0.17/0.43 % (782)Termination phase: shuffling
% 0.17/0.43
% 0.17/0.43 % (782)Memory used [KB]: 1407
% 0.17/0.43 % (782)Time elapsed: 0.005 s
% 0.17/0.43 % (782)Instructions burned: 7 (million)
% 0.17/0.43 % (782)------------------------------
% 0.17/0.43 % (782)------------------------------
% 0.17/0.43 % (784)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)
% 0.17/0.44 % (784)Instruction limit reached!
% 0.17/0.44 % (784)------------------------------
% 0.17/0.44 % (784)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.44 % (784)Termination reason: Unknown
% 0.17/0.44 % (784)Termination phase: shuffling
% 0.17/0.44
% 0.17/0.44 % (784)Memory used [KB]: 1535
% 0.17/0.44 % (784)Time elapsed: 0.011 s
% 0.17/0.44 % (784)Instructions burned: 21 (million)
% 0.17/0.44 % (784)------------------------------
% 0.17/0.44 % (784)------------------------------
% 0.17/0.44 % (785)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.17/0.44 % (787)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.17/0.44 % (786)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.17/0.44 % (785)Instruction limit reached!
% 0.17/0.44 % (785)------------------------------
% 0.17/0.44 % (785)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.44 % (785)Termination reason: Unknown
% 0.17/0.44 % (785)Termination phase: shuffling
% 0.17/0.44
% 0.17/0.44 % (785)Memory used [KB]: 1407
% 0.17/0.44 % (785)Time elapsed: 0.005 s
% 0.17/0.44 % (785)Instructions burned: 5 (million)
% 0.17/0.44 % (785)------------------------------
% 0.17/0.44 % (785)------------------------------
% 0.17/0.44 % (786)Instruction limit reached!
% 0.17/0.44 % (786)------------------------------
% 0.17/0.44 % (786)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.44 % (786)Termination reason: Unknown
% 0.17/0.44 % (786)Termination phase: shuffling
% 0.17/0.44
% 0.17/0.44 % (786)Memory used [KB]: 1535
% 0.17/0.44 % (786)Time elapsed: 0.004 s
% 0.17/0.44 % (786)Instructions burned: 6 (million)
% 0.17/0.44 % (786)------------------------------
% 0.17/0.44 % (786)------------------------------
% 0.17/0.45 % (788)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)
% 0.17/0.46 % (789)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)
% 0.17/0.46 % (790)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)
% 0.17/0.47 % (789)Instruction limit reached!
% 0.17/0.47 % (789)------------------------------
% 0.17/0.47 % (789)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.47 % (789)Termination reason: Unknown
% 0.17/0.47 % (789)Termination phase: shuffling
% 0.17/0.47
% 0.17/0.47 % (789)Memory used [KB]: 1791
% 0.17/0.47 % (789)Time elapsed: 0.011 s
% 0.17/0.47 % (789)Instructions burned: 20 (million)
% 0.17/0.47 % (789)------------------------------
% 0.17/0.47 % (789)------------------------------
% 0.17/0.47 % (783)Refutation not found, incomplete strategy
% 0.17/0.47 % (783)------------------------------
% 0.17/0.47 % (783)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.47 % (783)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.47
% 0.17/0.47
% 0.17/0.47 % (783)Memory used [KB]: 6652
% 0.17/0.47 % (783)Time elapsed: 0.045 s
% 0.17/0.47 % (783)Instructions burned: 99 (million)
% 0.17/0.47 % (783)------------------------------
% 0.17/0.47 % (783)------------------------------
% 0.17/0.48 % (791)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.17/0.48 % (792)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.17/0.48 % (792)Instruction limit reached!
% 0.17/0.48 % (792)------------------------------
% 0.17/0.48 % (792)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.48 % (792)Termination reason: Unknown
% 0.17/0.48 % (792)Termination phase: shuffling
% 0.17/0.48
% 0.17/0.48 % (792)Memory used [KB]: 1407
% 0.17/0.48 % (792)Time elapsed: 0.003 s
% 0.17/0.48 % (792)Instructions burned: 3 (million)
% 0.17/0.48 % (792)------------------------------
% 0.17/0.48 % (792)------------------------------
% 0.17/0.49 % (791)Instruction limit reached!
% 0.17/0.49 % (791)------------------------------
% 0.17/0.49 % (791)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.49 % (791)Termination reason: Unknown
% 0.17/0.49 % (791)Termination phase: shuffling
% 0.17/0.49
% 0.17/0.49 % (791)Memory used [KB]: 1535
% 0.17/0.49 % (791)Time elapsed: 0.009 s
% 0.17/0.49 % (791)Instructions burned: 17 (million)
% 0.17/0.49 % (791)------------------------------
% 0.17/0.49 % (791)------------------------------
% 0.17/0.50 % (794)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.17/0.50 % (795)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)
% 0.17/0.51 % (794)Instruction limit reached!
% 0.17/0.51 % (794)------------------------------
% 0.17/0.51 % (794)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.51 % (794)Termination reason: Unknown
% 0.17/0.51 % (794)Termination phase: shuffling
% 0.17/0.51
% 0.17/0.51 % (794)Memory used [KB]: 1791
% 0.17/0.51 % (794)Time elapsed: 0.015 s
% 0.17/0.51 % (794)Instructions burned: 31 (million)
% 0.17/0.51 % (794)------------------------------
% 0.17/0.51 % (794)------------------------------
% 0.17/0.53 % (796)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)
% 1.46/0.55 % (795)Instruction limit reached!
% 1.46/0.55 % (795)------------------------------
% 1.46/0.55 % (795)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.46/0.55 % (795)Termination reason: Unknown
% 1.46/0.55 % (795)Termination phase: Property scanning
% 1.46/0.55
% 1.46/0.55 % (795)Memory used [KB]: 2430
% 1.46/0.55 % (795)Time elapsed: 0.051 s
% 1.46/0.55 % (795)Instructions burned: 127 (million)
% 1.46/0.55 % (795)------------------------------
% 1.46/0.55 % (795)------------------------------
% 1.46/0.55 % (790)Refutation not found, incomplete strategy
% 1.46/0.55 % (790)------------------------------
% 1.46/0.55 % (790)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.46/0.55 % (790)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.55
% 1.46/0.55
% 1.46/0.55 % (790)Memory used [KB]: 6908
% 1.46/0.55 % (790)Time elapsed: 0.093 s
% 1.46/0.55 % (790)Instructions burned: 214 (million)
% 1.46/0.55 % (790)------------------------------
% 1.46/0.55 % (790)------------------------------
% 1.58/0.56 % (797)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi)
% 1.58/0.56 % (798)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)
% 1.58/0.57 % (797)Instruction limit reached!
% 1.58/0.57 % (797)------------------------------
% 1.58/0.57 % (797)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.58/0.57 % (797)Termination reason: Unknown
% 1.58/0.57 % (797)Termination phase: shuffling
% 1.58/0.57
% 1.58/0.57 % (797)Memory used [KB]: 1407
% 1.58/0.57 % (797)Time elapsed: 0.004 s
% 1.58/0.57 % (797)Instructions burned: 5 (million)
% 1.58/0.57 % (797)------------------------------
% 1.58/0.57 % (797)------------------------------
% 1.58/0.57 % (796)Instruction limit reached!
% 1.58/0.57 % (796)------------------------------
% 1.58/0.57 % (796)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.58/0.57 % (796)Termination reason: Unknown
% 1.58/0.57 % (796)Termination phase: Property scanning
% 1.58/0.57
% 1.58/0.57 % (796)Memory used [KB]: 2430
% 1.58/0.57 % (796)Time elapsed: 0.044 s
% 1.58/0.57 % (796)Instructions burned: 100 (million)
% 1.58/0.57 % (796)------------------------------
% 1.58/0.57 % (796)------------------------------
% 1.58/0.57 % (798)Instruction limit reached!
% 1.58/0.57 % (798)------------------------------
% 1.58/0.57 % (798)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.58/0.57 % (798)Termination reason: Unknown
% 1.58/0.57 % (798)Termination phase: shuffling
% 1.58/0.57
% 1.58/0.57 % (798)Memory used [KB]: 1791
% 1.58/0.57 % (798)Time elapsed: 0.010 s
% 1.58/0.57 % (798)Instructions burned: 20 (million)
% 1.58/0.57 % (798)------------------------------
% 1.58/0.57 % (798)------------------------------
% 1.58/0.58 % (799)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)
% 1.58/0.58 % (800)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)
% 1.58/0.59 % (801)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)
% 1.58/0.59 % (788)First to succeed.
% 1.58/0.59 % (787)Instruction limit reached!
% 1.58/0.59 % (787)------------------------------
% 1.58/0.59 % (787)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.58/0.59 % (787)Termination reason: Unknown
% 1.58/0.59 % (787)Termination phase: Saturation
% 1.58/0.59
% 1.58/0.59 % (787)Memory used [KB]: 7291
% 1.58/0.59 % (787)Time elapsed: 0.155 s
% 1.58/0.59 % (787)Instructions burned: 377 (million)
% 1.58/0.59 % (787)------------------------------
% 1.58/0.59 % (787)------------------------------
% 1.58/0.60 % (788)Refutation found. Thanks to Tanya!
% 1.58/0.60 % SZS status Theorem for theBenchmark
% 1.58/0.60 % SZS output start Proof for theBenchmark
% 1.58/0.60 thf(type_def_5, type, mu: $tType).
% 1.58/0.60 thf(func_def_0, type, mu: $tType).
% 1.58/0.60 thf(func_def_1, type, qmltpeq: mu > mu > $i > $o).
% 1.58/0.60 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 1.58/0.60 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 1.58/0.60 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 1.58/0.60 thf(func_def_6, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 1.58/0.60 thf(func_def_7, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 1.58/0.60 thf(func_def_8, type, mtrue: $i > $o).
% 1.58/0.60 thf(func_def_9, type, mfalse: $i > $o).
% 1.58/0.60 thf(func_def_10, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 1.58/0.60 thf(func_def_11, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 1.58/0.60 thf(func_def_12, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 1.58/0.60 thf(func_def_13, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 1.58/0.60 thf(func_def_14, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 1.58/0.60 thf(func_def_15, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 1.58/0.60 thf(func_def_16, type, exists_in_world: mu > $i > $o).
% 1.58/0.60 thf(func_def_17, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 1.58/0.60 thf(func_def_18, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 1.58/0.60 thf(func_def_19, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 1.58/0.60 thf(func_def_20, type, mreflexive: ($i > $i > $o) > $o).
% 1.58/0.60 thf(func_def_21, type, msymmetric: ($i > $i > $o) > $o).
% 1.58/0.60 thf(func_def_22, type, mserial: ($i > $i > $o) > $o).
% 1.58/0.60 thf(func_def_23, type, mtransitive: ($i > $i > $o) > $o).
% 1.58/0.60 thf(func_def_24, type, meuclidean: ($i > $i > $o) > $o).
% 1.58/0.60 thf(func_def_25, type, mpartially_functional: ($i > $i > $o) > $o).
% 1.58/0.60 thf(func_def_26, type, mfunctional: ($i > $i > $o) > $o).
% 1.58/0.60 thf(func_def_27, type, mweakly_dense: ($i > $i > $o) > $o).
% 1.58/0.60 thf(func_def_28, type, mweakly_connected: ($i > $i > $o) > $o).
% 1.58/0.60 thf(func_def_29, type, mweakly_directed: ($i > $i > $o) > $o).
% 1.58/0.60 thf(func_def_30, type, mvalid: ($i > $o) > $o).
% 1.58/0.60 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 1.58/0.60 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 1.58/0.60 thf(func_def_33, type, minvalid: ($i > $o) > $o).
% 1.58/0.60 thf(func_def_34, type, rel_s4: $i > $i > $o).
% 1.58/0.60 thf(func_def_35, type, mbox_s4: ($i > $o) > $i > $o).
% 1.58/0.60 thf(func_def_36, type, mdia_s4: ($i > $o) > $i > $o).
% 1.58/0.60 thf(func_def_37, type, true: $i > $o).
% 1.58/0.60 thf(func_def_38, type, lt: mu > mu > $i > $o).
% 1.58/0.60 thf(func_def_39, type, geq: mu > mu > $i > $o).
% 1.58/0.60 thf(func_def_40, type, gt: mu > mu > $i > $o).
% 1.58/0.60 thf(func_def_41, type, leq: mu > mu > $i > $o).
% 1.58/0.60 thf(func_def_42, type, uniform_int_rnd: mu > mu > mu).
% 1.58/0.60 thf(func_def_43, type, tptp_const_array1: mu > mu > mu).
% 1.58/0.60 thf(func_def_44, type, dim: mu > mu > mu).
% 1.58/0.60 thf(func_def_45, type, tptp_const_array2: mu > mu > mu > mu).
% 1.58/0.60 thf(func_def_46, type, inv: mu > mu).
% 1.58/0.60 thf(func_def_47, type, tptp_msub: mu > mu > mu).
% 1.58/0.60 thf(func_def_48, type, trans: mu > mu).
% 1.58/0.60 thf(func_def_49, type, tptp_mmul: mu > mu > mu).
% 1.58/0.60 thf(func_def_50, type, tptp_madd: mu > mu > mu).
% 1.58/0.60 thf(func_def_51, type, sum: mu > mu > mu > mu).
% 1.58/0.60 thf(func_def_52, type, tptp_float_0_0: mu).
% 1.58/0.60 thf(func_def_53, type, plus: mu > mu > mu).
% 1.58/0.60 thf(func_def_54, type, pred: mu > mu).
% 1.58/0.60 thf(func_def_55, type, tptp_update3: mu > mu > mu > mu > mu).
% 1.58/0.60 thf(func_def_56, type, a_select3: mu > mu > mu > mu).
% 1.58/0.60 thf(func_def_57, type, tptp_update2: mu > mu > mu > mu).
% 1.58/0.60 thf(func_def_58, type, a_select2: mu > mu > mu).
% 1.58/0.60 thf(func_def_59, type, use: mu).
% 1.58/0.60 thf(func_def_60, type, def: mu).
% 1.58/0.60 thf(func_def_61, type, minus: mu > mu > mu).
% 1.58/0.60 thf(func_def_62, type, pv35: mu).
% 1.58/0.60 thf(func_def_63, type, pv31: mu).
% 1.58/0.60 thf(func_def_64, type, tptp_minus_1: mu).
% 1.58/0.60 thf(func_def_65, type, n135300: mu).
% 1.58/0.60 thf(func_def_66, type, n4: mu).
% 1.58/0.60 thf(func_def_67, type, n5: mu).
% 1.58/0.60 thf(func_def_68, type, n1: mu).
% 1.58/0.60 thf(func_def_69, type, n2: mu).
% 1.58/0.60 thf(func_def_70, type, n3: mu).
% 1.58/0.60 thf(func_def_71, type, n0: mu).
% 1.58/0.60 thf(func_def_72, type, succ: mu > mu).
% 1.58/0.60 thf(func_def_94, type, sK1: $i > mu > mu > $i).
% 1.58/0.60 thf(func_def_95, type, sK2: mu > $i > mu > $i).
% 1.58/0.60 thf(func_def_96, type, sK3: mu > mu > $i > $i).
% 1.58/0.60 thf(func_def_97, type, sK4: $i > mu).
% 1.58/0.60 thf(f1883,plain,(
% 1.58/0.60 $false),
% 1.58/0.60 inference(trivial_inequality_removal,[],[f1882])).
% 1.58/0.60 thf(f1882,plain,(
% 1.58/0.60 ($false = $true)),
% 1.58/0.60 inference(beta_eta_normalization,[],[f1881])).
% 1.58/0.60 thf(f1881,plain,(
% 1.58/0.60 ($false = ((^[Y0 : $i]: ($true)) @ sK6))),
% 1.58/0.60 inference(sigma_clausification,[],[f1880])).
% 1.58/0.60 thf(f1880,plain,(
% 1.58/0.60 ((!! @ $i @ (^[Y0 : $i]: ($true))) = $false)),
% 1.58/0.60 inference(beta_eta_normalization,[],[f1879])).
% 1.58/0.60 thf(f1879,plain,(
% 1.58/0.60 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ($true)))) @ sK5))),
% 1.58/0.60 inference(sigma_clausification,[],[f1878])).
% 1.58/0.60 thf(f1878,plain,(
% 1.58/0.60 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ($true))))) = $false)),
% 1.58/0.60 inference(not_proxy_clausification,[],[f877])).
% 1.58/0.60 thf(f877,plain,(
% 1.58/0.60 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ($true)))))) = $true)),
% 1.58/0.60 inference(boolean_simplification,[],[f876])).
% 1.58/0.60 thf(f876,plain,(
% 1.58/0.60 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ($true | (~ (rel_s4 @ Y0 @ Y1)))))))) = $true)),
% 1.58/0.60 inference(boolean_simplification,[],[f875])).
% 1.58/0.60 thf(f875,plain,(
% 1.58/0.60 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((leq @ n0 @ pv31 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((leq @ n0 @ pv35 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((leq @ pv31 @ (minus @ n5 @ n1) @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((leq @ pv35 @ (minus @ n135300 @ n1) @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))))))))))))) | (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((leq @ n0 @ pv31 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((leq @ n0 @ pv35 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((leq @ pv31 @ (minus @ n5 @ n1) @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((leq @ pv35 @ (minus @ n135300 @ n1) @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))) = $true)),
% 1.58/0.60 inference(beta_eta_normalization,[],[f821])).
% 1.58/0.60 thf(f821,plain,(
% 1.58/0.60 ($true = (~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ (leq @ n0 @ pv31)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ (leq @ n0 @ pv35)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ (leq @ pv31 @ (minus @ n5 @ n1))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ (leq @ pv35 @ (minus @ n135300 @ n1)))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ (leq @ n0 @ pv31)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ (leq @ n0 @ pv35)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ (leq @ pv31 @ (minus @ n5 @ n1))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ (leq @ pv35 @ (minus @ n135300 @ n1)))))))))))),
% 1.58/0.60 inference(definition_unfolding,[],[f734,f687,f690,f740,f739,f690,f739,f690,f739,f690,f690,f739,f690,f739,f690,f739,f690,f690])).
% 1.58/0.60 thf(f739,plain,(
% 1.58/0.60 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))),
% 1.58/0.60 inference(definition_unfolding,[],[f659,f641,f708,f641,f641])).
% 1.58/0.60 thf(f708,plain,(
% 1.58/0.60 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 1.58/0.60 inference(cnf_transformation,[],[f522])).
% 1.58/0.60 thf(f522,plain,(
% 1.58/0.60 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 1.58/0.60 inference(fool_elimination,[],[f521])).
% 1.58/0.60 thf(f521,plain,(
% 1.58/0.60 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))) = mor)),
% 1.58/0.60 inference(rectify,[],[f3])).
% 1.58/0.60 thf(f3,axiom,(
% 1.58/0.60 ((^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))) = mor)),
% 1.58/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 1.58/0.60 thf(f641,plain,(
% 1.58/0.60 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 1.58/0.60 inference(cnf_transformation,[],[f494])).
% 1.58/0.60 thf(f494,plain,(
% 1.58/0.60 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 1.58/0.60 inference(fool_elimination,[],[f493])).
% 1.58/0.60 thf(f493,plain,(
% 1.58/0.60 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 1.58/0.60 inference(rectify,[],[f2])).
% 1.58/0.60 thf(f2,axiom,(
% 1.58/0.60 ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)),
% 1.58/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 1.58/0.60 thf(f659,plain,(
% 1.58/0.60 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 1.58/0.60 inference(cnf_transformation,[],[f393])).
% 1.58/0.60 thf(f393,plain,(
% 1.58/0.60 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 1.58/0.60 inference(fool_elimination,[],[f392])).
% 1.58/0.60 thf(f392,plain,(
% 1.58/0.60 ((^[X0 : $i > $o, X1 : $i > $o] : (mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)))) = mand)),
% 1.58/0.60 inference(rectify,[],[f8])).
% 1.58/0.60 thf(f8,axiom,(
% 1.58/0.60 ((^[X3 : $i > $o, X4 : $i > $o] : (mnot @ (mor @ (mnot @ X3) @ (mnot @ X4)))) = mand)),
% 1.58/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand)).
% 1.58/0.60 thf(f740,plain,(
% 1.58/0.60 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 1.58/0.60 inference(definition_unfolding,[],[f686,f708,f641])).
% 1.58/0.60 thf(f686,plain,(
% 1.58/0.60 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 1.58/0.60 inference(cnf_transformation,[],[f540])).
% 1.58/0.60 thf(f540,plain,(
% 1.58/0.60 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 1.58/0.60 inference(fool_elimination,[],[f539])).
% 1.58/0.60 thf(f539,plain,(
% 1.58/0.60 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
% 1.58/0.60 inference(rectify,[],[f9])).
% 1.58/0.60 thf(f9,axiom,(
% 1.58/0.60 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
% 1.58/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)).
% 1.58/0.60 thf(f690,plain,(
% 1.58/0.60 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))))),
% 1.58/0.60 inference(cnf_transformation,[],[f362])).
% 1.58/0.60 thf(f362,plain,(
% 1.58/0.60 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))))),
% 1.58/0.60 inference(fool_elimination,[],[f361])).
% 1.58/0.60 thf(f361,plain,(
% 1.58/0.60 ((^[X0 : $i > $o, X1 : $i] : (! [X2] : (~(rel_s4 @ X1 @ X2) | (X0 @ X2)))) = mbox_s4)),
% 1.58/0.60 inference(rectify,[],[f32])).
% 1.58/0.60 thf(f32,axiom,(
% 1.58/0.60 ((^[X3 : $i > $o, X2 : $i] : (! [X6] : (~(rel_s4 @ X2 @ X6) | (X3 @ X6)))) = mbox_s4)),
% 1.58/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_s4)).
% 1.58/0.60 thf(f687,plain,(
% 1.58/0.60 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 1.58/0.60 inference(cnf_transformation,[],[f314])).
% 1.58/0.60 thf(f314,plain,(
% 1.58/0.60 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 1.58/0.60 inference(fool_elimination,[],[f313])).
% 1.58/0.60 thf(f313,plain,(
% 1.58/0.60 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 1.58/0.60 inference(rectify,[],[f28])).
% 1.58/0.60 thf(f28,axiom,(
% 1.58/0.60 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 1.58/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 1.58/0.60 thf(f734,plain,(
% 1.58/0.60 ((~ (mvalid @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ pv31)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv35)) @ (mand @ (mbox_s4 @ (leq @ pv31 @ (minus @ n5 @ n1))) @ (mbox_s4 @ (leq @ pv35 @ (minus @ n135300 @ n1)))))) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv31)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv35)) @ (mand @ (mbox_s4 @ (leq @ pv31 @ (minus @ n5 @ n1))) @ (mbox_s4 @ (leq @ pv35 @ (minus @ n135300 @ n1)))))))))) = $true)),
% 1.58/0.60 inference(cnf_transformation,[],[f514])).
% 1.58/0.60 thf(f514,plain,(
% 1.58/0.60 ((~ (mvalid @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ pv31)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv35)) @ (mand @ (mbox_s4 @ (leq @ pv31 @ (minus @ n5 @ n1))) @ (mbox_s4 @ (leq @ pv35 @ (minus @ n135300 @ n1)))))) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv31)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv35)) @ (mand @ (mbox_s4 @ (leq @ pv31 @ (minus @ n5 @ n1))) @ (mbox_s4 @ (leq @ pv35 @ (minus @ n135300 @ n1)))))))))) = $true)),
% 1.58/0.60 inference(fool_elimination,[],[f513])).
% 1.58/0.60 thf(f513,plain,(
% 1.58/0.60 ~(mvalid @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ pv31)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv35)) @ (mand @ (mbox_s4 @ (leq @ pv31 @ (minus @ n5 @ n1))) @ (mbox_s4 @ (leq @ pv35 @ (minus @ n135300 @ n1)))))) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv31)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv35)) @ (mand @ (mbox_s4 @ (leq @ pv31 @ (minus @ n5 @ n1))) @ (mbox_s4 @ (leq @ pv35 @ (minus @ n135300 @ n1)))))))))),
% 1.58/0.60 inference(rectify,[],[f209])).
% 1.58/0.60 thf(f209,negated_conjecture,(
% 1.58/0.60 ~(mvalid @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ pv31)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv35)) @ (mand @ (mbox_s4 @ (leq @ pv31 @ (minus @ n5 @ n1))) @ (mbox_s4 @ (leq @ pv35 @ (minus @ n135300 @ n1)))))) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv31)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv35)) @ (mand @ (mbox_s4 @ (leq @ pv31 @ (minus @ n5 @ n1))) @ (mbox_s4 @ (leq @ pv35 @ (minus @ n135300 @ n1)))))))))),
% 1.58/0.60 inference(negated_conjecture,[],[f208])).
% 1.58/0.60 thf(f208,conjecture,(
% 1.58/0.60 (mvalid @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ pv31)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv35)) @ (mand @ (mbox_s4 @ (leq @ pv31 @ (minus @ n5 @ n1))) @ (mbox_s4 @ (leq @ pv35 @ (minus @ n135300 @ n1)))))) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv31)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv35)) @ (mand @ (mbox_s4 @ (leq @ pv31 @ (minus @ n5 @ n1))) @ (mbox_s4 @ (leq @ pv35 @ (minus @ n135300 @ n1)))))))))),
% 1.58/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0014)).
% 1.58/0.60 % SZS output end Proof for theBenchmark
% 1.58/0.60 % (788)------------------------------
% 1.58/0.60 % (788)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.58/0.60 % (788)Termination reason: Refutation
% 1.58/0.60
% 1.58/0.60 % (788)Memory used [KB]: 8187
% 1.58/0.60 % (788)Time elapsed: 0.143 s
% 1.58/0.60 % (788)Instructions burned: 333 (million)
% 1.58/0.60 % (788)------------------------------
% 1.58/0.60 % (788)------------------------------
% 1.58/0.60 % (755)Success in time 0.257 s
%------------------------------------------------------------------------------