TSTP Solution File: SWV061^7 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWV061^7 : TPTP v8.2.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n025.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 17:34:05 EDT 2024
% Result : Theorem 1.92s 0.64s
% Output : Refutation 1.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWV061^7 : TPTP v8.2.0. Released v5.5.0.
% 0.06/0.11 % Command : run_vampire %s %d THM
% 0.11/0.32 % Computer : n025.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu Jun 20 17:22:54 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.34 This is a TH0_THM_EQU_NAR problem
% 0.11/0.34 Running higher-order theorem proving
% 0.11/0.34 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
% 0.11/0.37 % (16492)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)
% 0.11/0.37 % (16491)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)
% 0.11/0.37 % (16493)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.11/0.37 % (16488)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)
% 0.11/0.37 % (16487)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.11/0.37 % (16490)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.37 % (16489)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)
% 0.11/0.37 % (16490)Instruction limit reached!
% 0.11/0.37 % (16490)------------------------------
% 0.11/0.37 % (16490)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.37 % (16490)Termination reason: Unknown
% 0.11/0.37 % (16490)Termination phase: shuffling
% 0.11/0.37
% 0.11/0.37 % (16491)Instruction limit reached!
% 0.11/0.37 % (16491)------------------------------
% 0.11/0.37 % (16491)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.37 % (16491)Termination reason: Unknown
% 0.11/0.37 % (16491)Termination phase: shuffling
% 0.11/0.37
% 0.11/0.37 % (16491)Memory used [KB]: 1407
% 0.11/0.37 % (16491)Time elapsed: 0.003 s
% 0.11/0.37 % (16491)Instructions burned: 2 (million)
% 0.11/0.37 % (16491)------------------------------
% 0.11/0.37 % (16491)------------------------------
% 0.11/0.37 % (16490)Memory used [KB]: 1279
% 0.11/0.37 % (16490)Time elapsed: 0.003 s
% 0.11/0.37 % (16490)Instructions burned: 2 (million)
% 0.11/0.37 % (16490)------------------------------
% 0.11/0.37 % (16490)------------------------------
% 0.11/0.37 % (16488)Instruction limit reached!
% 0.11/0.37 % (16488)------------------------------
% 0.11/0.37 % (16488)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.37 % (16488)Termination reason: Unknown
% 0.11/0.37 % (16488)Termination phase: shuffling
% 0.11/0.37
% 0.11/0.37 % (16488)Memory used [KB]: 1407
% 0.11/0.37 % (16488)Time elapsed: 0.004 s
% 0.11/0.37 % (16488)Instructions burned: 4 (million)
% 0.11/0.37 % (16488)------------------------------
% 0.11/0.37 % (16488)------------------------------
% 0.11/0.38 % (16493)Instruction limit reached!
% 0.11/0.38 % (16493)------------------------------
% 0.11/0.38 % (16493)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.38 % (16493)Termination reason: Unknown
% 0.11/0.38 % (16493)Termination phase: shuffling
% 0.11/0.38
% 0.11/0.38 % (16493)Memory used [KB]: 1535
% 0.11/0.38 % (16493)Time elapsed: 0.010 s
% 0.11/0.38 % (16493)Instructions burned: 20 (million)
% 0.11/0.38 % (16493)------------------------------
% 0.11/0.38 % (16493)------------------------------
% 0.11/0.39 % (16489)Instruction limit reached!
% 0.11/0.39 % (16489)------------------------------
% 0.11/0.39 % (16489)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.39 % (16489)Termination reason: Unknown
% 0.11/0.39 % (16489)Termination phase: shuffling
% 0.11/0.39
% 0.11/0.39 % (16489)Memory used [KB]: 1791
% 0.11/0.39 % (16489)Time elapsed: 0.014 s
% 0.11/0.39 % (16489)Instructions burned: 28 (million)
% 0.11/0.39 % (16489)------------------------------
% 0.11/0.39 % (16489)------------------------------
% 0.11/0.39 % (16496)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)
% 0.11/0.39 % (16495)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)
% 0.11/0.39 % (16494)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)
% 0.11/0.39 % (16494)Instruction limit reached!
% 0.11/0.39 % (16494)------------------------------
% 0.11/0.39 % (16494)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.39 % (16494)Termination reason: Unknown
% 0.11/0.39 % (16494)Termination phase: shuffling
% 0.11/0.39
% 0.11/0.39 % (16494)Memory used [KB]: 1407
% 0.11/0.39 % (16494)Time elapsed: 0.004 s
% 0.11/0.39 % (16494)Instructions burned: 5 (million)
% 0.11/0.39 % (16494)------------------------------
% 0.11/0.39 % (16494)------------------------------
% 0.11/0.39 % (16496)Instruction limit reached!
% 0.11/0.39 % (16496)------------------------------
% 0.11/0.39 % (16496)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.39 % (16496)Termination reason: Unknown
% 0.11/0.39 % (16496)Termination phase: shuffling
% 0.11/0.39
% 0.11/0.39 % (16496)Memory used [KB]: 1535
% 0.11/0.39 % (16496)Time elapsed: 0.009 s
% 0.11/0.39 % (16496)Instructions burned: 16 (million)
% 0.11/0.39 % (16496)------------------------------
% 0.11/0.39 % (16496)------------------------------
% 0.11/0.40 % (16497)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.40 % (16497)Instruction limit reached!
% 0.19/0.40 % (16497)------------------------------
% 0.19/0.40 % (16497)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.40 % (16497)Termination reason: Unknown
% 0.19/0.40 % (16497)Termination phase: shuffling
% 0.19/0.40
% 0.19/0.40 % (16497)Memory used [KB]: 1407
% 0.19/0.40 % (16497)Time elapsed: 0.004 s
% 0.19/0.40 % (16497)Instructions burned: 3 (million)
% 0.19/0.40 % (16497)------------------------------
% 0.19/0.40 % (16497)------------------------------
% 0.19/0.40 % (16498)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.19/0.40 % (16492)Refutation not found, incomplete strategy
% 0.19/0.40 % (16492)------------------------------
% 0.19/0.40 % (16492)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.40 % (16492)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40 % (16492)Memory used [KB]: 6524
% 0.19/0.40 % (16492)Time elapsed: 0.031 s
% 0.19/0.40 % (16492)Instructions burned: 69 (million)
% 0.19/0.40 % (16492)------------------------------
% 0.19/0.40 % (16492)------------------------------
% 0.19/0.40 % (16499)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.40 % (16495)Instruction limit reached!
% 0.19/0.40 % (16495)------------------------------
% 0.19/0.40 % (16495)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.40 % (16495)Termination reason: Unknown
% 0.19/0.40 % (16495)Termination phase: Property scanning
% 0.19/0.40
% 0.19/0.40 % (16495)Memory used [KB]: 1918
% 0.19/0.40 % (16495)Time elapsed: 0.018 s
% 0.19/0.40 % (16495)Instructions burned: 39 (million)
% 0.19/0.40 % (16495)------------------------------
% 0.19/0.40 % (16495)------------------------------
% 0.19/0.41 % (16499)Instruction limit reached!
% 0.19/0.41 % (16499)------------------------------
% 0.19/0.41 % (16499)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.41 % (16499)Termination reason: Unknown
% 0.19/0.41 % (16499)Termination phase: shuffling
% 0.19/0.41
% 0.19/0.41 % (16499)Memory used [KB]: 1407
% 0.19/0.41 % (16499)Time elapsed: 0.005 s
% 0.19/0.41 % (16499)Instructions burned: 7 (million)
% 0.19/0.41 % (16499)------------------------------
% 0.19/0.41 % (16499)------------------------------
% 0.19/0.41 % (16500)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.41 % (16501)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.41 % (16501)Instruction limit reached!
% 0.19/0.41 % (16501)------------------------------
% 0.19/0.41 % (16501)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.41 % (16501)Termination reason: Unknown
% 0.19/0.41 % (16501)Termination phase: shuffling
% 0.19/0.41
% 0.19/0.41 % (16501)Memory used [KB]: 1407
% 0.19/0.41 % (16501)Time elapsed: 0.003 s
% 0.19/0.41 % (16501)Instructions burned: 3 (million)
% 0.19/0.41 % (16501)------------------------------
% 0.19/0.41 % (16501)------------------------------
% 0.19/0.41 % (16500)Instruction limit reached!
% 0.19/0.41 % (16500)------------------------------
% 0.19/0.41 % (16500)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.41 % (16500)Termination reason: Unknown
% 0.19/0.41 % (16500)Termination phase: shuffling
% 0.19/0.41
% 0.19/0.41 % (16500)Memory used [KB]: 1535
% 0.19/0.41 % (16500)Time elapsed: 0.009 s
% 0.19/0.41 % (16500)Instructions burned: 16 (million)
% 0.19/0.41 % (16500)------------------------------
% 0.19/0.41 % (16500)------------------------------
% 0.19/0.42 % (16502)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.42 % (16502)Instruction limit reached!
% 0.19/0.42 % (16502)------------------------------
% 0.19/0.42 % (16502)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.42 % (16503)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)
% 0.19/0.42 % (16502)Termination reason: Unknown
% 0.19/0.42 % (16502)Termination phase: shuffling
% 0.19/0.42
% 0.19/0.42 % (16502)Memory used [KB]: 1407
% 0.19/0.42 % (16502)Time elapsed: 0.003 s
% 0.19/0.42 % (16502)Instructions burned: 3 (million)
% 0.19/0.42 % (16502)------------------------------
% 0.19/0.42 % (16502)------------------------------
% 0.19/0.42 % (16503)Instruction limit reached!
% 0.19/0.42 % (16503)------------------------------
% 0.19/0.42 % (16503)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.42 % (16503)Termination reason: Unknown
% 0.19/0.42 % (16503)Termination phase: shuffling
% 0.19/0.42
% 0.19/0.42 % (16503)Memory used [KB]: 1407
% 0.19/0.42 % (16503)Time elapsed: 0.005 s
% 0.19/0.42 % (16503)Instructions burned: 7 (million)
% 0.19/0.42 % (16503)------------------------------
% 0.19/0.42 % (16503)------------------------------
% 0.19/0.42 % (16504)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)
% 0.19/0.42 % (16504)Instruction limit reached!
% 0.19/0.42 % (16504)------------------------------
% 0.19/0.42 % (16504)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.42 % (16504)Termination reason: Unknown
% 0.19/0.42 % (16504)Termination phase: shuffling
% 0.19/0.42
% 0.19/0.42 % (16504)Memory used [KB]: 1407
% 0.19/0.42 % (16504)Time elapsed: 0.003 s
% 0.19/0.42 % (16504)Instructions burned: 3 (million)
% 0.19/0.42 % (16504)------------------------------
% 0.19/0.42 % (16504)------------------------------
% 0.19/0.43 % (16505)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.43 % (16506)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)
% 0.19/0.43 % (16505)Instruction limit reached!
% 0.19/0.43 % (16505)------------------------------
% 0.19/0.43 % (16505)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.43 % (16505)Termination reason: Unknown
% 0.19/0.43 % (16505)Termination phase: shuffling
% 0.19/0.43
% 0.19/0.43 % (16505)Memory used [KB]: 1407
% 0.19/0.43 % (16505)Time elapsed: 0.004 s
% 0.19/0.43 % (16505)Instructions burned: 5 (million)
% 0.19/0.43 % (16505)------------------------------
% 0.19/0.43 % (16505)------------------------------
% 0.19/0.43 % (16507)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.19/0.43 % (16508)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.43 % (16509)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)
% 0.19/0.43 % (16506)Instruction limit reached!
% 0.19/0.43 % (16506)------------------------------
% 0.19/0.43 % (16506)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.43 % (16506)Termination reason: Unknown
% 0.19/0.43 % (16506)Termination phase: shuffling
% 0.19/0.43
% 0.19/0.43 % (16506)Memory used [KB]: 1663
% 0.19/0.43 % (16506)Time elapsed: 0.010 s
% 0.19/0.43 % (16506)Instructions burned: 19 (million)
% 0.19/0.43 % (16506)------------------------------
% 0.19/0.43 % (16506)------------------------------
% 0.19/0.44 % (16508)Instruction limit reached!
% 0.19/0.44 % (16508)------------------------------
% 0.19/0.44 % (16508)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.44 % (16508)Termination reason: Unknown
% 0.19/0.44 % (16508)Termination phase: shuffling
% 0.19/0.44
% 0.19/0.44 % (16508)Memory used [KB]: 1535
% 0.19/0.44 % (16508)Time elapsed: 0.005 s
% 0.19/0.44 % (16508)Instructions burned: 8 (million)
% 0.19/0.44 % (16508)------------------------------
% 0.19/0.44 % (16508)------------------------------
% 0.19/0.44 % (16510)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)
% 0.19/0.44 % (16487)Instruction limit reached!
% 0.19/0.44 % (16487)------------------------------
% 0.19/0.44 % (16487)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.44 % (16487)Termination reason: Unknown
% 0.19/0.44 % (16487)Termination phase: Saturation
% 0.19/0.44
% 0.19/0.44 % (16487)Memory used [KB]: 6908
% 0.19/0.44 % (16487)Time elapsed: 0.074 s
% 0.19/0.44 % (16487)Instructions burned: 184 (million)
% 0.19/0.44 % (16487)------------------------------
% 0.19/0.44 % (16487)------------------------------
% 0.19/0.45 % (16511)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.45 % (16512)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)
% 0.19/0.45 % (16511)Instruction limit reached!
% 0.19/0.45 % (16511)------------------------------
% 0.19/0.45 % (16511)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.45 % (16511)Termination reason: Unknown
% 0.19/0.45 % (16511)Termination phase: shuffling
% 0.19/0.45
% 0.19/0.45 % (16511)Memory used [KB]: 1407
% 0.19/0.45 % (16511)Time elapsed: 0.004 s
% 0.19/0.45 % (16511)Instructions burned: 5 (million)
% 0.19/0.45 % (16511)------------------------------
% 0.19/0.45 % (16511)------------------------------
% 0.19/0.45 % (16510)Instruction limit reached!
% 0.19/0.45 % (16510)------------------------------
% 0.19/0.45 % (16510)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.45 % (16510)Termination reason: Unknown
% 0.19/0.45 % (16510)Termination phase: shuffling
% 0.19/0.45
% 0.19/0.45 % (16510)Memory used [KB]: 1791
% 0.19/0.45 % (16510)Time elapsed: 0.011 s
% 0.19/0.45 % (16510)Instructions burned: 22 (million)
% 0.19/0.45 % (16510)------------------------------
% 0.19/0.45 % (16510)------------------------------
% 0.19/0.45 % (16512)Instruction limit reached!
% 0.19/0.45 % (16512)------------------------------
% 0.19/0.45 % (16512)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.45 % (16512)Termination reason: Unknown
% 0.19/0.45 % (16512)Termination phase: shuffling
% 0.19/0.45
% 0.19/0.45 % (16512)Memory used [KB]: 1535
% 0.19/0.45 % (16512)Time elapsed: 0.005 s
% 0.19/0.45 % (16512)Instructions burned: 7 (million)
% 0.19/0.45 % (16512)------------------------------
% 0.19/0.45 % (16512)------------------------------
% 0.19/0.46 % (16513)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.19/0.46 % (16514)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 (2999ds/779Mi)
% 0.19/0.46 % (16515)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 (2999ds/19Mi)
% 0.19/0.47 % (16516)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.19/0.47 % (16515)Instruction limit reached!
% 0.19/0.47 % (16515)------------------------------
% 0.19/0.47 % (16515)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.47 % (16515)Termination reason: Unknown
% 0.19/0.47 % (16515)Termination phase: shuffling
% 0.19/0.47
% 0.19/0.47 % (16515)Memory used [KB]: 1791
% 0.19/0.47 % (16515)Time elapsed: 0.010 s
% 0.19/0.47 % (16515)Instructions burned: 19 (million)
% 0.19/0.47 % (16515)------------------------------
% 0.19/0.47 % (16515)------------------------------
% 0.19/0.48 % (16509)Refutation not found, incomplete strategy
% 0.19/0.48 % (16509)------------------------------
% 0.19/0.48 % (16509)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.48 % (16509)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.48
% 0.19/0.48
% 0.19/0.48 % (16509)Memory used [KB]: 6652
% 0.19/0.48 % (16509)Time elapsed: 0.042 s
% 0.19/0.48 % (16509)Instructions burned: 97 (million)
% 0.19/0.48 % (16509)------------------------------
% 0.19/0.48 % (16509)------------------------------
% 0.19/0.49 % (16517)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.19/0.49 % (16518)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.19/0.49 % (16518)Instruction limit reached!
% 0.19/0.49 % (16518)------------------------------
% 0.19/0.49 % (16518)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.49 % (16518)Termination reason: Unknown
% 0.19/0.49 % (16518)Termination phase: shuffling
% 0.19/0.49
% 0.19/0.49 % (16518)Memory used [KB]: 1407
% 0.19/0.49 % (16518)Time elapsed: 0.004 s
% 0.19/0.49 % (16518)Instructions burned: 4 (million)
% 0.19/0.49 % (16518)------------------------------
% 0.19/0.49 % (16518)------------------------------
% 0.19/0.49 % (16517)Instruction limit reached!
% 0.19/0.49 % (16517)------------------------------
% 0.19/0.49 % (16517)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.49 % (16517)Termination reason: Unknown
% 0.19/0.49 % (16517)Termination phase: shuffling
% 0.19/0.49
% 0.19/0.49 % (16517)Memory used [KB]: 1535
% 0.19/0.49 % (16517)Time elapsed: 0.009 s
% 0.19/0.49 % (16517)Instructions burned: 17 (million)
% 0.19/0.49 % (16517)------------------------------
% 0.19/0.49 % (16517)------------------------------
% 0.19/0.50 % (16507)Refutation not found, incomplete strategy
% 0.19/0.50 % (16507)------------------------------
% 0.19/0.50 % (16507)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.50 % (16507)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 % (16507)Memory used [KB]: 6908
% 0.19/0.50 % (16507)Time elapsed: 0.072 s
% 0.19/0.50 % (16507)Instructions burned: 154 (million)
% 0.19/0.50 % (16507)------------------------------
% 0.19/0.50 % (16507)------------------------------
% 0.19/0.51 % (16520)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)
% 0.19/0.51 % (16519)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.19/0.51 % (16521)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.19/0.52 % (16519)Instruction limit reached!
% 0.19/0.52 % (16519)------------------------------
% 0.19/0.52 % (16519)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.52 % (16519)Termination reason: Unknown
% 0.19/0.52 % (16519)Termination phase: shuffling
% 0.19/0.52
% 0.19/0.52 % (16519)Memory used [KB]: 1791
% 0.19/0.52 % (16519)Time elapsed: 0.015 s
% 0.19/0.52 % (16519)Instructions burned: 32 (million)
% 0.19/0.52 % (16519)------------------------------
% 0.19/0.52 % (16519)------------------------------
% 0.19/0.53 % (16522)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)
% 0.19/0.53 % (16522)Instruction limit reached!
% 0.19/0.53 % (16522)------------------------------
% 0.19/0.53 % (16522)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.53 % (16522)Termination reason: Unknown
% 0.19/0.53 % (16522)Termination phase: shuffling
% 0.19/0.53
% 0.19/0.53 % (16522)Memory used [KB]: 1407
% 0.19/0.53 % (16522)Time elapsed: 0.004 s
% 0.19/0.53 % (16522)Instructions burned: 4 (million)
% 0.19/0.53 % (16522)------------------------------
% 0.19/0.53 % (16522)------------------------------
% 0.19/0.55 % (16523)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 (2998ds/20Mi)
% 0.19/0.55 % (16521)Instruction limit reached!
% 0.19/0.55 % (16521)------------------------------
% 0.19/0.55 % (16521)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.55 % (16521)Termination reason: Unknown
% 0.19/0.55 % (16521)Termination phase: Property scanning
% 0.19/0.55
% 0.19/0.55 % (16521)Memory used [KB]: 2430
% 0.19/0.55 % (16521)Time elapsed: 0.042 s
% 0.19/0.55 % (16521)Instructions burned: 100 (million)
% 0.19/0.55 % (16521)------------------------------
% 0.19/0.55 % (16521)------------------------------
% 0.19/0.55 % (16520)Instruction limit reached!
% 0.19/0.55 % (16520)------------------------------
% 0.19/0.55 % (16520)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.55 % (16520)Termination reason: Unknown
% 0.19/0.55 % (16520)Termination phase: Property scanning
% 0.19/0.55
% 0.19/0.55 % (16520)Memory used [KB]: 2430
% 0.19/0.55 % (16520)Time elapsed: 0.051 s
% 0.19/0.55 % (16520)Instructions burned: 127 (million)
% 0.19/0.55 % (16520)------------------------------
% 0.19/0.55 % (16520)------------------------------
% 0.19/0.56 % (16523)Instruction limit reached!
% 0.19/0.56 % (16523)------------------------------
% 0.19/0.56 % (16523)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.56 % (16523)Termination reason: Unknown
% 0.19/0.56 % (16523)Termination phase: shuffling
% 0.19/0.56
% 0.19/0.56 % (16523)Memory used [KB]: 1791
% 0.19/0.56 % (16523)Time elapsed: 0.011 s
% 0.19/0.56 % (16523)Instructions burned: 21 (million)
% 0.19/0.56 % (16523)------------------------------
% 0.19/0.56 % (16523)------------------------------
% 0.19/0.57 % (16525)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 (2998ds/107Mi)
% 0.19/0.57 % (16524)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 (2998ds/86Mi)
% 0.19/0.57 % (16526)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 (2998ds/39Mi)
% 0.19/0.59 % (16526)Instruction limit reached!
% 0.19/0.59 % (16526)------------------------------
% 0.19/0.59 % (16526)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.59 % (16526)Termination reason: Unknown
% 0.19/0.59 % (16526)Termination phase: Property scanning
% 0.19/0.59
% 0.19/0.59 % (16526)Memory used [KB]: 1918
% 0.19/0.59 % (16526)Time elapsed: 0.019 s
% 0.19/0.59 % (16526)Instructions burned: 41 (million)
% 0.19/0.59 % (16526)------------------------------
% 0.19/0.59 % (16526)------------------------------
% 1.76/0.60 % (16516)Refutation not found, incomplete strategy
% 1.76/0.60 % (16516)------------------------------
% 1.76/0.60 % (16516)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.76/0.60 % (16516)Termination reason: Refutation not found, incomplete strategy
% 1.76/0.60
% 1.76/0.60
% 1.76/0.60 % (16516)Memory used [KB]: 7931
% 1.76/0.60 % (16516)Time elapsed: 0.135 s
% 1.76/0.60 % (16516)Instructions burned: 339 (million)
% 1.76/0.60 % (16516)------------------------------
% 1.76/0.60 % (16516)------------------------------
% 1.76/0.60 % (16527)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)
% 1.76/0.60 % (16524)Instruction limit reached!
% 1.76/0.60 % (16524)------------------------------
% 1.76/0.60 % (16524)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.76/0.60 % (16524)Termination reason: Unknown
% 1.76/0.60 % (16524)Termination phase: Function definition elimination
% 1.76/0.60
% 1.76/0.60 % (16524)Memory used [KB]: 2046
% 1.76/0.60 % (16524)Time elapsed: 0.037 s
% 1.76/0.60 % (16524)Instructions burned: 86 (million)
% 1.76/0.60 % (16524)------------------------------
% 1.76/0.60 % (16524)------------------------------
% 1.76/0.61 % (16513)Instruction limit reached!
% 1.76/0.61 % (16513)------------------------------
% 1.76/0.61 % (16513)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.76/0.61 % (16513)Termination reason: Unknown
% 1.76/0.61 % (16513)Termination phase: Saturation
% 1.76/0.61
% 1.76/0.61 % (16513)Memory used [KB]: 7291
% 1.76/0.61 % (16513)Time elapsed: 0.150 s
% 1.76/0.61 % (16513)Instructions burned: 378 (million)
% 1.76/0.61 % (16513)------------------------------
% 1.76/0.61 % (16513)------------------------------
% 1.76/0.61 % (16525)Instruction limit reached!
% 1.76/0.61 % (16525)------------------------------
% 1.76/0.61 % (16525)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.76/0.61 % (16525)Termination reason: Unknown
% 1.76/0.61 % (16525)Termination phase: Property scanning
% 1.76/0.61
% 1.76/0.61 % (16525)Memory used [KB]: 2046
% 1.76/0.61 % (16525)Time elapsed: 0.044 s
% 1.76/0.61 % (16525)Instructions burned: 108 (million)
% 1.76/0.61 % (16525)------------------------------
% 1.76/0.61 % (16525)------------------------------
% 1.88/0.62 % (16528)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)
% 1.88/0.62 % (16529)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)
% 1.88/0.62 % (16530)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)
% 1.88/0.62 % (16531)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)
% 1.92/0.64 % (16528)Instruction limit reached!
% 1.92/0.64 % (16528)------------------------------
% 1.92/0.64 % (16528)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.92/0.64 % (16528)Termination reason: Unknown
% 1.92/0.64 % (16528)Termination phase: Property scanning
% 1.92/0.64
% 1.92/0.64 % (16528)Memory used [KB]: 1918
% 1.92/0.64 % (16528)Time elapsed: 0.022 s
% 1.92/0.64 % (16528)Instructions burned: 48 (million)
% 1.92/0.64 % (16528)------------------------------
% 1.92/0.64 % (16528)------------------------------
% 1.92/0.64 % (16514)First to succeed.
% 1.92/0.64 % (16514)Refutation found. Thanks to Tanya!
% 1.92/0.64 % SZS status Theorem for theBenchmark
% 1.92/0.64 % SZS output start Proof for theBenchmark
% 1.92/0.64 thf(type_def_5, type, mu: $tType).
% 1.92/0.64 thf(func_def_0, type, mu: $tType).
% 1.92/0.64 thf(func_def_1, type, qmltpeq: mu > mu > $i > $o).
% 1.92/0.64 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 1.92/0.64 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 1.92/0.64 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 1.92/0.64 thf(func_def_6, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 1.92/0.64 thf(func_def_7, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 1.92/0.64 thf(func_def_8, type, mtrue: $i > $o).
% 1.92/0.64 thf(func_def_9, type, mfalse: $i > $o).
% 1.92/0.64 thf(func_def_10, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 1.92/0.64 thf(func_def_11, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 1.92/0.64 thf(func_def_12, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 1.92/0.64 thf(func_def_13, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 1.92/0.64 thf(func_def_14, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 1.92/0.64 thf(func_def_15, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 1.92/0.64 thf(func_def_16, type, exists_in_world: mu > $i > $o).
% 1.92/0.64 thf(func_def_17, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 1.92/0.64 thf(func_def_18, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 1.92/0.64 thf(func_def_19, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 1.92/0.64 thf(func_def_20, type, mreflexive: ($i > $i > $o) > $o).
% 1.92/0.64 thf(func_def_21, type, msymmetric: ($i > $i > $o) > $o).
% 1.92/0.64 thf(func_def_22, type, mserial: ($i > $i > $o) > $o).
% 1.92/0.64 thf(func_def_23, type, mtransitive: ($i > $i > $o) > $o).
% 1.92/0.64 thf(func_def_24, type, meuclidean: ($i > $i > $o) > $o).
% 1.92/0.64 thf(func_def_25, type, mpartially_functional: ($i > $i > $o) > $o).
% 1.92/0.64 thf(func_def_26, type, mfunctional: ($i > $i > $o) > $o).
% 1.92/0.64 thf(func_def_27, type, mweakly_dense: ($i > $i > $o) > $o).
% 1.92/0.64 thf(func_def_28, type, mweakly_connected: ($i > $i > $o) > $o).
% 1.92/0.64 thf(func_def_29, type, mweakly_directed: ($i > $i > $o) > $o).
% 1.92/0.64 thf(func_def_30, type, mvalid: ($i > $o) > $o).
% 1.92/0.64 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 1.92/0.64 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 1.92/0.64 thf(func_def_33, type, minvalid: ($i > $o) > $o).
% 1.92/0.64 thf(func_def_34, type, rel_s4: $i > $i > $o).
% 1.92/0.64 thf(func_def_35, type, mbox_s4: ($i > $o) > $i > $o).
% 1.92/0.64 thf(func_def_36, type, mdia_s4: ($i > $o) > $i > $o).
% 1.92/0.64 thf(func_def_37, type, true: $i > $o).
% 1.92/0.64 thf(func_def_38, type, lt: mu > mu > $i > $o).
% 1.92/0.64 thf(func_def_39, type, geq: mu > mu > $i > $o).
% 1.92/0.64 thf(func_def_40, type, gt: mu > mu > $i > $o).
% 1.92/0.64 thf(func_def_41, type, leq: mu > mu > $i > $o).
% 1.92/0.64 thf(func_def_42, type, uniform_int_rnd: mu > mu > mu).
% 1.92/0.64 thf(func_def_43, type, tptp_const_array1: mu > mu > mu).
% 1.92/0.64 thf(func_def_44, type, dim: mu > mu > mu).
% 1.92/0.64 thf(func_def_45, type, tptp_const_array2: mu > mu > mu > mu).
% 1.92/0.64 thf(func_def_46, type, inv: mu > mu).
% 1.92/0.64 thf(func_def_47, type, tptp_msub: mu > mu > mu).
% 1.92/0.64 thf(func_def_48, type, trans: mu > mu).
% 1.92/0.64 thf(func_def_49, type, tptp_mmul: mu > mu > mu).
% 1.92/0.64 thf(func_def_50, type, tptp_madd: mu > mu > mu).
% 1.92/0.64 thf(func_def_51, type, sum: mu > mu > mu > mu).
% 1.92/0.64 thf(func_def_52, type, tptp_float_0_0: mu).
% 1.92/0.64 thf(func_def_53, type, plus: mu > mu > mu).
% 1.92/0.64 thf(func_def_54, type, pred: mu > mu).
% 1.92/0.64 thf(func_def_55, type, minus: mu > mu > mu).
% 1.92/0.64 thf(func_def_56, type, tptp_update3: mu > mu > mu > mu > mu).
% 1.92/0.64 thf(func_def_57, type, a_select3: mu > mu > mu > mu).
% 1.92/0.64 thf(func_def_58, type, tptp_update2: mu > mu > mu > mu).
% 1.92/0.64 thf(func_def_59, type, a_select2: mu > mu > mu).
% 1.92/0.64 thf(func_def_60, type, use: mu).
% 1.92/0.64 thf(func_def_61, type, def: mu).
% 1.92/0.64 thf(func_def_62, type, loopcounter: mu).
% 1.92/0.64 thf(func_def_63, type, tptp_minus_1: mu).
% 1.92/0.64 thf(func_def_64, type, n4: mu).
% 1.92/0.64 thf(func_def_65, type, n5: mu).
% 1.92/0.64 thf(func_def_66, type, n1: mu).
% 1.92/0.64 thf(func_def_67, type, n2: mu).
% 1.92/0.64 thf(func_def_68, type, n3: mu).
% 1.92/0.64 thf(func_def_69, type, n0: mu).
% 1.92/0.64 thf(func_def_70, type, succ: mu > mu).
% 1.92/0.64 thf(func_def_92, type, sK1: mu > $i > mu > $i).
% 1.92/0.64 thf(func_def_93, type, sK2: $i > mu > mu > $i).
% 1.92/0.64 thf(func_def_94, type, sK3: mu > $i > $i).
% 1.92/0.64 thf(func_def_100, type, sK9: $i > $i).
% 1.92/0.64 thf(func_def_102, type, sK11: mu > mu > $i > $i).
% 1.92/0.64 thf(func_def_103, type, sK12: $i > mu).
% 1.92/0.64 thf(func_def_104, type, sK13: mu > mu > $i > $i).
% 1.92/0.64 thf(f2637,plain,(
% 1.92/0.64 $false),
% 1.92/0.64 inference(trivial_inequality_removal,[],[f2636])).
% 1.92/0.64 thf(f2636,plain,(
% 1.92/0.64 ($true = $false)),
% 1.92/0.64 inference(superposition,[],[f2627,f2633])).
% 1.92/0.64 thf(f2633,plain,(
% 1.92/0.64 ($false = (true @ sK10))),
% 1.92/0.64 inference(trivial_inequality_removal,[],[f2632])).
% 1.92/0.64 thf(f2632,plain,(
% 1.92/0.64 ($true = $false) | ($false = (true @ sK10))),
% 1.92/0.64 inference(forward_demodulation,[],[f1190,f2627])).
% 1.92/0.64 thf(f1190,plain,(
% 1.92/0.64 ($false = (true @ sK10)) | ($false = (true @ sK8))),
% 1.92/0.64 inference(binary_proxy_clausification,[],[f1184])).
% 1.92/0.64 thf(f1184,plain,(
% 1.92/0.64 ($false = (true @ sK10)) | ($false = ((true @ sK8) | (~ (rel_s4 @ sK7 @ sK8))))),
% 1.92/0.64 inference(binary_proxy_clausification,[],[f1182])).
% 1.92/0.64 thf(f1182,plain,(
% 1.92/0.64 ($false = ((true @ sK10) | (~ (rel_s4 @ sK6 @ sK10)))) | ($false = ((true @ sK8) | (~ (rel_s4 @ sK7 @ sK8))))),
% 1.92/0.64 inference(beta_eta_normalization,[],[f1181])).
% 1.92/0.64 thf(f1181,plain,(
% 1.92/0.64 (((^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK6 @ Y0)))) @ sK10) = $false) | ($false = ((true @ sK8) | (~ (rel_s4 @ sK7 @ sK8))))),
% 1.92/0.64 inference(sigma_clausification,[],[f1180])).
% 1.92/0.64 thf(f1180,plain,(
% 1.92/0.64 ($false = (!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK6 @ Y0)))))) | ($false = ((true @ sK8) | (~ (rel_s4 @ sK7 @ sK8))))),
% 1.92/0.64 inference(beta_eta_normalization,[],[f1179])).
% 1.92/0.64 thf(f1179,plain,(
% 1.92/0.64 ($false = ((^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK7 @ Y0)))) @ sK8)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK6 @ Y0))))))),
% 1.92/0.64 inference(sigma_clausification,[],[f1177])).
% 1.92/0.64 thf(f1177,plain,(
% 1.92/0.64 ((!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK7 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK6 @ Y0))))))),
% 1.92/0.64 inference(binary_proxy_clausification,[],[f1170])).
% 1.92/0.64 thf(f1170,plain,(
% 1.92/0.64 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((gt @ loopcounter @ n1 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK7 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK7 @ Y0))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK6 @ Y0))))))),
% 1.92/0.64 inference(binary_proxy_clausification,[],[f1168])).
% 1.92/0.64 thf(f1168,plain,(
% 1.92/0.64 ($false = (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((gt @ loopcounter @ n1 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK7 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK7 @ Y0)))))) | (~ (rel_s4 @ sK5 @ sK7)))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK6 @ Y0))))))),
% 1.92/0.64 inference(beta_eta_normalization,[],[f1167])).
% 1.92/0.64 thf(f1167,plain,(
% 1.92/0.64 ($false = (!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK6 @ Y0)))))) | ($false = ((^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((gt @ loopcounter @ n1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK5 @ Y0)))) @ sK7))),
% 1.92/0.64 inference(sigma_clausification,[],[f1136])).
% 1.92/0.64 thf(f1136,plain,(
% 1.92/0.64 ($false = (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((gt @ loopcounter @ n1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK5 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK6 @ Y0))))))),
% 1.92/0.64 inference(binary_proxy_clausification,[],[f1135])).
% 1.92/0.64 thf(f1135,plain,(
% 1.92/0.64 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((gt @ loopcounter @ n1 @ Y0) | (~ (rel_s4 @ sK6 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK6 @ Y0))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((gt @ loopcounter @ n1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK5 @ Y0))))))),
% 1.92/0.64 inference(not_proxy_clausification,[],[f1108])).
% 1.92/0.64 thf(f1108,plain,(
% 1.92/0.64 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((gt @ loopcounter @ n1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK5 @ Y0))))))) | ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((gt @ loopcounter @ n1 @ Y0) | (~ (rel_s4 @ sK6 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK6 @ Y0)))))))),
% 1.92/0.64 inference(binary_proxy_clausification,[],[f1106])).
% 1.92/0.64 thf(f1106,plain,(
% 1.92/0.64 ($false = (((~ (!! @ $i @ (^[Y0 : $i]: ((gt @ loopcounter @ n1 @ Y0) | (~ (rel_s4 @ sK6 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK6 @ Y0)))))) | (~ (rel_s4 @ sK5 @ sK6)))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((gt @ loopcounter @ n1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK5 @ Y0)))))))),
% 1.92/0.64 inference(beta_eta_normalization,[],[f1105])).
% 1.92/0.64 thf(f1105,plain,(
% 1.92/0.64 ($false = ((^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((gt @ loopcounter @ n1 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK5 @ Y0)))) @ sK6)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((gt @ loopcounter @ n1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK5 @ Y0)))))))),
% 1.92/0.64 inference(sigma_clausification,[],[f1104])).
% 1.92/0.64 thf(f1104,plain,(
% 1.92/0.64 ($false = (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((gt @ loopcounter @ n1 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK5 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((gt @ loopcounter @ n1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK5 @ Y0)))))))),
% 1.92/0.64 inference(not_proxy_clausification,[],[f1103])).
% 1.92/0.64 thf(f1103,plain,(
% 1.92/0.64 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((gt @ loopcounter @ n1 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK5 @ Y0))))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((gt @ loopcounter @ n1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK5 @ Y0)))))))),
% 1.92/0.64 inference(binary_proxy_clausification,[],[f1102])).
% 1.92/0.64 thf(f1102,plain,(
% 1.92/0.64 ($true = ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((gt @ loopcounter @ n1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK5 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((gt @ loopcounter @ n1 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK5 @ Y0))))))))),
% 1.92/0.64 inference(not_proxy_clausification,[],[f1100])).
% 1.92/0.64 thf(f1100,plain,(
% 1.92/0.64 ($false = (~ ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((gt @ loopcounter @ n1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK5 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((gt @ loopcounter @ n1 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK5 @ Y0)))))))))),
% 1.92/0.64 inference(binary_proxy_clausification,[],[f1098])).
% 1.92/0.64 thf(f1098,plain,(
% 1.92/0.64 (((~ (!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK5 @ Y0)))))) | (~ ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((gt @ loopcounter @ n1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK5 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((gt @ loopcounter @ n1 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK5 @ Y0))))))))) = $false)),
% 1.92/0.64 inference(binary_proxy_clausification,[],[f1096])).
% 1.92/0.64 thf(f1096,plain,(
% 1.92/0.64 ($false = (((~ (!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK5 @ Y0)))))) | (~ ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((gt @ loopcounter @ n1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK5 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((gt @ loopcounter @ n1 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK5 @ Y0))))))))) | (~ (rel_s4 @ sK4 @ sK5))))),
% 1.92/0.64 inference(beta_eta_normalization,[],[f1095])).
% 1.92/0.64 thf(f1095,plain,(
% 1.92/0.64 ($false = ((^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((gt @ loopcounter @ n1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((true @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((gt @ loopcounter @ n1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((true @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1))))))))) | (~ (rel_s4 @ sK4 @ Y0)))) @ sK5))),
% 1.92/0.64 inference(sigma_clausification,[],[f1094])).
% 1.92/0.64 thf(f1094,plain,(
% 1.92/0.64 ((!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((gt @ loopcounter @ n1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((true @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((gt @ loopcounter @ n1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((true @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1))))))))) | (~ (rel_s4 @ sK4 @ Y0))))) = $false)),
% 1.92/0.64 inference(beta_eta_normalization,[],[f1093])).
% 1.92/0.64 thf(f1093,plain,(
% 1.92/0.64 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((true @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((gt @ loopcounter @ n1 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((true @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((gt @ loopcounter @ n1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((true @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) @ sK4) = $false)),
% 1.92/0.64 inference(sigma_clausification,[],[f1092])).
% 1.92/0.64 thf(f1092,plain,(
% 1.92/0.64 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((true @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((gt @ loopcounter @ n1 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((true @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((gt @ loopcounter @ n1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((true @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))),
% 1.92/0.64 inference(not_proxy_clausification,[],[f839])).
% 1.92/0.64 thf(f839,plain,(
% 1.92/0.64 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((true @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((gt @ loopcounter @ n1 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((true @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((gt @ loopcounter @ n1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((true @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))) = $true)),
% 1.92/0.64 inference(beta_eta_normalization,[],[f734])).
% 1.92/0.64 thf(f734,plain,(
% 1.92/0.64 ($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]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ true) @ ((^[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)))))))) @ ((^[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]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ (gt @ loopcounter @ n1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ true))) @ ((^[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]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ (gt @ loopcounter @ n1)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ true)))))))))),
% 1.92/0.64 inference(definition_unfolding,[],[f645,f690,f687,f695,f687,f694,f687,f695,f687,f660,f687,f687,f687,f695,f687,f687])).
% 1.92/0.64 thf(f660,plain,(
% 1.92/0.64 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 1.92/0.64 inference(cnf_transformation,[],[f575])).
% 1.92/0.64 thf(f575,plain,(
% 1.92/0.64 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 1.92/0.64 inference(fool_elimination,[],[f574])).
% 1.92/0.64 thf(f574,plain,(
% 1.92/0.64 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 1.92/0.64 inference(rectify,[],[f2])).
% 1.92/0.64 thf(f2,axiom,(
% 1.92/0.64 (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))),
% 1.92/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 1.92/0.64 thf(f694,plain,(
% 1.92/0.64 (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)))))))),
% 1.92/0.64 inference(definition_unfolding,[],[f689,f660,f641,f660,f660])).
% 1.92/0.64 thf(f641,plain,(
% 1.92/0.64 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 1.92/0.64 inference(cnf_transformation,[],[f555])).
% 1.92/0.64 thf(f555,plain,(
% 1.92/0.64 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 1.92/0.64 inference(fool_elimination,[],[f554])).
% 1.92/0.64 thf(f554,plain,(
% 1.92/0.64 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
% 1.92/0.64 inference(rectify,[],[f3])).
% 1.92/0.64 thf(f3,axiom,(
% 1.92/0.64 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))))),
% 1.92/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 1.92/0.64 thf(f689,plain,(
% 1.92/0.64 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 1.92/0.64 inference(cnf_transformation,[],[f209])).
% 1.92/0.64 thf(f209,plain,(
% 1.92/0.64 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 1.92/0.64 inference(fool_elimination,[],[f208])).
% 1.92/0.64 thf(f208,plain,(
% 1.92/0.64 (mand = (^[X0 : $i > $o, X1 : $i > $o] : (mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)))))),
% 1.92/0.64 inference(rectify,[],[f8])).
% 1.92/0.64 thf(f8,axiom,(
% 1.92/0.64 (mand = (^[X3 : $i > $o, X4 : $i > $o] : (mnot @ (mor @ (mnot @ X3) @ (mnot @ X4)))))),
% 1.92/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand)).
% 1.92/0.64 thf(f695,plain,(
% 1.92/0.64 (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)))))),
% 1.92/0.64 inference(definition_unfolding,[],[f666,f641,f660])).
% 1.92/0.64 thf(f666,plain,(
% 1.92/0.64 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 1.92/0.64 inference(cnf_transformation,[],[f434])).
% 1.92/0.64 thf(f434,plain,(
% 1.92/0.64 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 1.92/0.64 inference(fool_elimination,[],[f433])).
% 1.92/0.64 thf(f433,plain,(
% 1.92/0.64 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
% 1.92/0.64 inference(rectify,[],[f9])).
% 1.92/0.64 thf(f9,axiom,(
% 1.92/0.64 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
% 1.92/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)).
% 1.92/0.64 thf(f687,plain,(
% 1.92/0.64 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))))),
% 1.92/0.64 inference(cnf_transformation,[],[f420])).
% 1.92/0.64 thf(f420,plain,(
% 1.92/0.64 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))))),
% 1.92/0.64 inference(fool_elimination,[],[f419])).
% 1.92/0.64 thf(f419,plain,(
% 1.92/0.64 (mbox_s4 = (^[X0 : $i > $o, X1 : $i] : (! [X2] : (~(rel_s4 @ X1 @ X2) | (X0 @ X2)))))),
% 1.92/0.64 inference(rectify,[],[f32])).
% 1.92/0.64 thf(f32,axiom,(
% 1.92/0.64 (mbox_s4 = (^[X3 : $i > $o, X2 : $i] : (! [X6] : (~(rel_s4 @ X2 @ X6) | (X3 @ X6)))))),
% 1.92/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_s4)).
% 1.92/0.64 thf(f690,plain,(
% 1.92/0.64 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 1.92/0.64 inference(cnf_transformation,[],[f521])).
% 1.92/0.64 thf(f521,plain,(
% 1.92/0.64 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 1.92/0.64 inference(fool_elimination,[],[f520])).
% 1.92/0.64 thf(f520,plain,(
% 1.92/0.64 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 1.92/0.64 inference(rectify,[],[f28])).
% 1.92/0.64 thf(f28,axiom,(
% 1.92/0.64 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 1.92/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 1.92/0.64 thf(f645,plain,(
% 1.92/0.64 ((~ (mvalid @ (mbox_s4 @ (mimplies @ (mbox_s4 @ true) @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mnot @ (mbox_s4 @ (gt @ loopcounter @ n1)))) @ (mbox_s4 @ true))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (gt @ loopcounter @ n1)) @ (mbox_s4 @ true)))))))) = $true)),
% 1.92/0.64 inference(cnf_transformation,[],[f533])).
% 1.92/0.64 thf(f533,plain,(
% 1.92/0.64 ((~ (mvalid @ (mbox_s4 @ (mimplies @ (mbox_s4 @ true) @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mnot @ (mbox_s4 @ (gt @ loopcounter @ n1)))) @ (mbox_s4 @ true))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (gt @ loopcounter @ n1)) @ (mbox_s4 @ true)))))))) = $true)),
% 1.92/0.64 inference(fool_elimination,[],[f532])).
% 1.92/0.64 thf(f532,plain,(
% 1.92/0.64 ~(mvalid @ (mbox_s4 @ (mimplies @ (mbox_s4 @ true) @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mnot @ (mbox_s4 @ (gt @ loopcounter @ n1)))) @ (mbox_s4 @ true))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (gt @ loopcounter @ n1)) @ (mbox_s4 @ true)))))))),
% 1.92/0.64 inference(rectify,[],[f200])).
% 1.92/0.64 thf(f200,negated_conjecture,(
% 1.92/0.64 ~(mvalid @ (mbox_s4 @ (mimplies @ (mbox_s4 @ true) @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mnot @ (mbox_s4 @ (gt @ loopcounter @ n1)))) @ (mbox_s4 @ true))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (gt @ loopcounter @ n1)) @ (mbox_s4 @ true)))))))),
% 1.92/0.64 inference(negated_conjecture,[],[f199])).
% 1.92/0.64 thf(f199,conjecture,(
% 1.92/0.64 (mvalid @ (mbox_s4 @ (mimplies @ (mbox_s4 @ true) @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mnot @ (mbox_s4 @ (gt @ loopcounter @ n1)))) @ (mbox_s4 @ true))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (gt @ loopcounter @ n1)) @ (mbox_s4 @ true)))))))),
% 1.92/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0002)).
% 1.92/0.64 thf(f2627,plain,(
% 1.92/0.64 ( ! [X0 : $i] : (($true = (true @ X0))) )),
% 1.92/0.64 inference(trivial_inequality_removal,[],[f2625])).
% 1.92/0.64 thf(f2625,plain,(
% 1.92/0.64 ( ! [X0 : $i] : (($true = $false) | ($true = (true @ X0))) )),
% 1.92/0.64 inference(superposition,[],[f2500,f1085])).
% 1.92/0.64 thf(f1085,plain,(
% 1.92/0.64 ( ! [X2 : $i,X1 : $i] : (($false = (rel_s4 @ X1 @ X2)) | ($true = (true @ X2))) )),
% 1.92/0.64 inference(not_proxy_clausification,[],[f1084])).
% 1.92/0.64 thf(f1084,plain,(
% 1.92/0.64 ( ! [X2 : $i,X1 : $i] : (($true = (true @ X2)) | ($true = (~ (rel_s4 @ X1 @ X2)))) )),
% 1.92/0.64 inference(binary_proxy_clausification,[],[f1083])).
% 1.92/0.64 thf(f1083,plain,(
% 1.92/0.64 ( ! [X2 : $i,X1 : $i] : ((((true @ X2) | (~ (rel_s4 @ X1 @ X2))) = $true)) )),
% 1.92/0.64 inference(beta_eta_normalization,[],[f1082])).
% 1.92/0.64 thf(f1082,plain,(
% 1.92/0.64 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ X1 @ Y0)))) @ X2) = $true)) )),
% 1.92/0.64 inference(pi_clausification,[],[f1081])).
% 1.92/0.64 thf(f1081,plain,(
% 1.92/0.64 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ X1 @ Y0))))))) )),
% 1.92/0.64 inference(beta_eta_normalization,[],[f1080])).
% 1.92/0.64 thf(f1080,plain,(
% 1.92/0.64 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) @ X1))) )),
% 1.92/0.64 inference(pi_clausification,[],[f841])).
% 1.92/0.64 thf(f841,plain,(
% 1.92/0.64 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) = $true)),
% 1.92/0.64 inference(beta_eta_normalization,[],[f752])).
% 1.92/0.64 thf(f752,plain,(
% 1.92/0.64 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ true)))),
% 1.92/0.64 inference(definition_unfolding,[],[f669,f690,f687])).
% 1.92/0.64 thf(f669,plain,(
% 1.92/0.64 ((mvalid @ (mbox_s4 @ true)) = $true)),
% 1.92/0.64 inference(cnf_transformation,[],[f271])).
% 1.92/0.64 thf(f271,plain,(
% 1.92/0.64 ((mvalid @ (mbox_s4 @ true)) = $true)),
% 1.92/0.64 inference(fool_elimination,[],[f270])).
% 1.92/0.64 thf(f270,plain,(
% 1.92/0.64 (mvalid @ (mbox_s4 @ true))),
% 1.92/0.64 inference(rectify,[],[f165])).
% 1.92/0.64 thf(f165,axiom,(
% 1.92/0.64 (mvalid @ (mbox_s4 @ true))),
% 1.92/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ttrue)).
% 1.92/0.64 thf(f2500,plain,(
% 1.92/0.64 ( ! [X1 : $i] : (($true = (rel_s4 @ X1 @ X1))) )),
% 1.92/0.64 inference(beta_eta_normalization,[],[f2499])).
% 1.92/0.64 thf(f2499,plain,(
% 1.92/0.64 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (rel_s4 @ Y0 @ Y0)) @ X1))) )),
% 1.92/0.64 inference(pi_clausification,[],[f775])).
% 1.92/0.64 thf(f775,plain,(
% 1.92/0.64 ($true = (!! @ $i @ (^[Y0 : $i]: (rel_s4 @ Y0 @ Y0))))),
% 1.92/0.64 inference(beta_eta_normalization,[],[f753])).
% 1.92/0.64 thf(f753,plain,(
% 1.92/0.64 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) @ rel_s4))),
% 1.92/0.64 inference(definition_unfolding,[],[f671,f681])).
% 1.92/0.64 thf(f681,plain,(
% 1.92/0.64 (mreflexive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
% 1.92/0.64 inference(cnf_transformation,[],[f219])).
% 1.92/0.64 thf(f219,plain,(
% 1.92/0.64 (mreflexive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
% 1.92/0.64 inference(fool_elimination,[],[f218])).
% 1.92/0.64 thf(f218,plain,(
% 1.92/0.64 (mreflexive = (^[X0 : $i > $i > $o] : (! [X1] : (X0 @ X1 @ X1))))),
% 1.92/0.64 inference(rectify,[],[f18])).
% 1.92/0.64 thf(f18,axiom,(
% 1.92/0.64 (mreflexive = (^[X5 : $i > $i > $o] : (! [X8] : (X5 @ X8 @ X8))))),
% 1.92/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mreflexive)).
% 1.92/0.64 thf(f671,plain,(
% 1.92/0.64 ((mreflexive @ rel_s4) = $true)),
% 1.92/0.64 inference(cnf_transformation,[],[f247])).
% 1.92/0.64 thf(f247,plain,(
% 1.92/0.64 ((mreflexive @ rel_s4) = $true)),
% 1.92/0.64 inference(fool_elimination,[],[f246])).
% 1.92/0.64 thf(f246,plain,(
% 1.92/0.64 (mreflexive @ rel_s4)),
% 1.92/0.64 inference(rectify,[],[f34])).
% 1.92/0.64 thf(f34,axiom,(
% 1.92/0.64 (mreflexive @ rel_s4)),
% 1.92/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1)).
% 1.92/0.64 % SZS output end Proof for theBenchmark
% 1.92/0.64 % (16514)------------------------------
% 1.92/0.64 % (16514)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.92/0.64 % (16514)Termination reason: Refutation
% 1.92/0.64
% 1.92/0.64 % (16514)Memory used [KB]: 8443
% 1.92/0.64 % (16514)Time elapsed: 0.179 s
% 1.92/0.64 % (16514)Instructions burned: 425 (million)
% 1.92/0.64 % (16514)------------------------------
% 1.92/0.64 % (16514)------------------------------
% 1.92/0.64 % (16486)Success in time 0.299 s
%------------------------------------------------------------------------------