0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s 0.11/0.34 % Computer : n014.cluster.edu 0.11/0.34 % Model : x86_64 x86_64 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.34 % Memory : 8042.1875MB 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.34 % CPULimit : 300 0.11/0.34 % WCLimit : 300 0.11/0.34 % DateTime : Fri Jul 5 04:28:39 EDT 2024 0.11/0.34 % CPUTime : 0.11/0.35 This is a THF_ problem 0.11/0.36 Running vampire_ho --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.11/0.37 % (30388)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on theBenchmark for (2999ds/385Mi) 0.11/0.37 % (30386)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on theBenchmark for (2999ds/36Mi) 0.11/0.37 % (30389)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi) 0.11/0.37 % (30387)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on theBenchmark for (2999ds/34Mi) 0.19/0.37 % (30390)ott+1010_1:1_cnfonf=lazy_gen:fe=off:kws=inv_arity:plsq=on:plsqc=1:plsqr=32,1:prag=on:sp=const_frequency:i=74:si=on:rtra=on_0 on theBenchmark for (2999ds/74Mi) 0.19/0.38 % (30392)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on theBenchmark for (2999ds/915Mi) 0.19/0.38 % (30391)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi) 0.19/0.38 % (30391)Instruction limit reached! 0.19/0.38 % (30391)------------------------------ 0.19/0.38 % (30391)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.38 % (30391)Termination reason: Unknown 0.19/0.38 % (30391)Termination phase: shuffling 0.19/0.38 0.19/0.38 % (30391)Memory used [KB]: 1151 0.19/0.38 % (30391)Time elapsed: 0.004 s 0.19/0.38 % (30391)Instructions burned: 5 (million) 0.19/0.38 % (30391)------------------------------ 0.19/0.38 % (30391)------------------------------ 0.19/0.38 % (30385)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2999ds/96Mi) 0.19/0.38 % (30392)Refutation not found, incomplete strategy 0.19/0.38 % (30392)------------------------------ 0.19/0.38 % (30392)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.38 % (30392)Termination reason: Refutation not found, incomplete strategy 0.19/0.38 0.19/0.38 0.19/0.38 % (30392)Memory used [KB]: 5628 0.19/0.38 % (30392)Time elapsed: 0.007 s 0.19/0.38 % (30392)Instructions burned: 12 (million) 0.19/0.38 % (30392)------------------------------ 0.19/0.38 % (30392)------------------------------ 0.19/0.38 % (30389)Instruction limit reached! 0.19/0.38 % (30389)------------------------------ 0.19/0.38 % (30389)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.38 % (30389)Termination reason: Unknown 0.19/0.38 % (30389)Termination phase: Saturation 0.19/0.38 0.19/0.38 % (30389)Memory used [KB]: 5628 0.19/0.38 % (30389)Time elapsed: 0.009 s 0.19/0.38 % (30389)Instructions burned: 18 (million) 0.19/0.38 % (30389)------------------------------ 0.19/0.38 % (30389)------------------------------ 0.19/0.39 % (30387)Instruction limit reached! 0.19/0.39 % (30387)------------------------------ 0.19/0.39 % (30387)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.39 % (30387)Termination reason: Unknown 0.19/0.39 % (30387)Termination phase: Saturation 0.19/0.39 0.19/0.39 % (30387)Memory used [KB]: 5756 0.19/0.39 % (30387)Time elapsed: 0.016 s 0.19/0.39 % (30387)Instructions burned: 36 (million) 0.19/0.39 % (30387)------------------------------ 0.19/0.39 % (30387)------------------------------ 0.19/0.39 % (30386)Instruction limit reached! 0.19/0.39 % (30386)------------------------------ 0.19/0.39 % (30386)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.39 % (30386)Termination reason: Unknown 0.19/0.39 % (30386)Termination phase: Saturation 0.19/0.39 0.19/0.39 % (30386)Memory used [KB]: 5756 0.19/0.39 % (30386)Time elapsed: 0.017 s 0.19/0.39 % (30386)Instructions burned: 37 (million) 0.19/0.39 % (30386)------------------------------ 0.19/0.39 % (30386)------------------------------ 0.19/0.40 % (30393)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) 0.19/0.40 % (30394)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi) 0.19/0.40 % (30395)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on theBenchmark for (2999ds/1021Mi) 0.19/0.40 % (30394)Instruction limit reached! 0.19/0.40 % (30394)------------------------------ 0.19/0.40 % (30394)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.40 % (30394)Termination reason: Unknown 0.19/0.40 % (30394)Termination phase: Property scanning 0.19/0.40 0.19/0.40 % (30394)Memory used [KB]: 1151 0.19/0.40 % (30394)Time elapsed: 0.005 s 0.19/0.40 % (30394)Instructions burned: 8 (million) 0.19/0.40 % (30394)------------------------------ 0.19/0.40 % (30394)------------------------------ 0.19/0.40 % (30397)lrs-1010_1:50_au=on:awrs=converge:awrsf=430:bet=on:cbe=off:cha=on:nm=20:sac=on:i=9:si=on:rtra=on_0 on theBenchmark for (2999ds/9Mi) 0.19/0.40 % (30393)Instruction limit reached! 0.19/0.40 % (30393)------------------------------ 0.19/0.40 % (30393)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.40 % (30393)Termination reason: Unknown 0.19/0.40 % (30393)Termination phase: Saturation 0.19/0.40 0.19/0.40 % (30393)Memory used [KB]: 5628 0.19/0.40 % (30393)Time elapsed: 0.011 s 0.19/0.40 % (30393)Instructions burned: 21 (million) 0.19/0.40 % (30393)------------------------------ 0.19/0.40 % (30393)------------------------------ 0.19/0.41 % (30397)Instruction limit reached! 0.19/0.41 % (30397)------------------------------ 0.19/0.41 % (30397)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.41 % (30397)Termination reason: Unknown 0.19/0.41 % (30397)Termination phase: Property scanning 0.19/0.41 0.19/0.41 % (30397)Memory used [KB]: 1151 0.19/0.41 % (30397)Time elapsed: 0.006 s 0.19/0.41 % (30397)Instructions burned: 10 (million) 0.19/0.41 % (30397)------------------------------ 0.19/0.41 % (30397)------------------------------ 0.19/0.41 % (30390)Instruction limit reached! 0.19/0.41 % (30390)------------------------------ 0.19/0.41 % (30390)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.41 % (30390)Termination reason: Unknown 0.19/0.41 % (30390)Termination phase: Saturation 0.19/0.41 0.19/0.41 % (30390)Memory used [KB]: 6012 0.19/0.41 % (30390)Time elapsed: 0.036 s 0.19/0.41 % (30390)Instructions burned: 76 (million) 0.19/0.41 % (30390)------------------------------ 0.19/0.41 % (30390)------------------------------ 0.19/0.41 % (30398)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on theBenchmark for (2999ds/1044Mi) 0.19/0.41 % (30396)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2999ds/71Mi) 0.19/0.42 % (30399)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on theBenchmark for (2999ds/128Mi) 0.19/0.42 % (30385)Instruction limit reached! 0.19/0.42 % (30385)------------------------------ 0.19/0.42 % (30385)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.42 % (30385)Termination reason: Unknown 0.19/0.42 % (30385)Termination phase: Saturation 0.19/0.42 0.19/0.42 % (30385)Memory used [KB]: 6012 0.19/0.42 % (30385)Time elapsed: 0.044 s 0.19/0.42 % (30385)Instructions burned: 98 (million) 0.19/0.42 % (30385)------------------------------ 0.19/0.42 % (30385)------------------------------ 0.19/0.42 % (30401)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on theBenchmark for (2999ds/61Mi) 0.19/0.42 % (30402)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on theBenchmark for (2999ds/14Mi) 0.19/0.43 % (30403)lrs+2_5:1_cnfonf=lazy_not_be_gen:hud=10:inj=on:ntd=on:tnu=1:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi) 0.19/0.43 % (30403)Instruction limit reached! 0.19/0.43 % (30403)------------------------------ 0.19/0.43 % (30403)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.43 % (30403)Termination reason: Unknown 0.19/0.43 % (30403)Termination phase: shuffling 0.19/0.43 0.19/0.43 % (30403)Memory used [KB]: 1023 0.19/0.43 % (30403)Time elapsed: 0.002 s 0.19/0.43 % (30403)Instructions burned: 2 (million) 0.19/0.43 % (30403)------------------------------ 0.19/0.43 % (30403)------------------------------ 0.19/0.43 % (30402)Instruction limit reached! 0.19/0.43 % (30402)------------------------------ 0.19/0.43 % (30402)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.43 % (30402)Termination reason: Unknown 0.19/0.43 % (30402)Termination phase: Property scanning 0.19/0.43 0.19/0.43 % (30402)Memory used [KB]: 1151 0.19/0.43 % (30402)Time elapsed: 0.008 s 0.19/0.43 % (30402)Instructions burned: 16 (million) 0.19/0.43 % (30402)------------------------------ 0.19/0.43 % (30402)------------------------------ 0.19/0.44 % (30404)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) 0.19/0.45 % (30396)Instruction limit reached! 0.19/0.45 % (30396)------------------------------ 0.19/0.45 % (30396)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.45 % (30396)Termination reason: Unknown 0.19/0.45 % (30396)Termination phase: Saturation 0.19/0.45 0.19/0.45 % (30401)Instruction limit reached! 0.19/0.45 % (30401)------------------------------ 0.19/0.45 % (30401)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.45 % (30396)Memory used [KB]: 6012 0.19/0.45 % (30396)Time elapsed: 0.036 s 0.19/0.45 % (30396)Instructions burned: 72 (million) 0.19/0.45 % (30396)------------------------------ 0.19/0.45 % (30396)------------------------------ 0.19/0.45 % (30401)Termination reason: Unknown 0.19/0.45 % (30401)Termination phase: Saturation 0.19/0.45 0.19/0.45 % (30401)Memory used [KB]: 5884 0.19/0.45 % (30401)Time elapsed: 0.026 s 0.19/0.45 % (30401)Instructions burned: 61 (million) 0.19/0.45 % (30401)------------------------------ 0.19/0.45 % (30401)------------------------------ 0.19/0.45 % (30405)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2999ds/11Mi) 0.19/0.45 % (30405)Instruction limit reached! 0.19/0.45 % (30405)------------------------------ 0.19/0.45 % (30405)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.45 % (30405)Termination reason: Unknown 0.19/0.45 % (30405)Termination phase: Property scanning 0.19/0.45 0.19/0.45 % (30405)Memory used [KB]: 1151 0.19/0.45 % (30405)Time elapsed: 0.007 s 0.19/0.45 % (30405)Instructions burned: 13 (million) 0.19/0.45 % (30405)------------------------------ 0.19/0.45 % (30405)------------------------------ 0.19/0.46 % (30406)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2999ds/140Mi) 0.19/0.46 % (30407)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2999ds/26Mi) 0.19/0.47 % (30408)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on theBenchmark for (2999ds/56Mi) 0.19/0.47 % (30406)Refutation not found, incomplete strategy 0.19/0.47 % (30406)------------------------------ 0.19/0.47 % (30406)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.47 % (30406)Termination reason: Refutation not found, incomplete strategy 0.19/0.47 0.19/0.47 0.19/0.47 % (30406)Memory used [KB]: 5756 0.19/0.47 % (30406)Time elapsed: 0.014 s 0.19/0.47 % (30406)Instructions burned: 29 (million) 0.19/0.47 % (30406)------------------------------ 0.19/0.47 % (30406)------------------------------ 0.19/0.47 % (30407)Instruction limit reached! 0.19/0.47 % (30407)------------------------------ 0.19/0.47 % (30407)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.47 % (30407)Termination reason: Unknown 0.19/0.47 % (30407)Termination phase: Saturation 0.19/0.47 0.19/0.47 % (30407)Memory used [KB]: 5756 0.19/0.47 % (30407)Time elapsed: 0.013 s 0.19/0.47 % (30407)Instructions burned: 27 (million) 0.19/0.47 % (30407)------------------------------ 0.19/0.47 % (30407)------------------------------ 0.19/0.47 % (30399)Instruction limit reached! 0.19/0.47 % (30399)------------------------------ 0.19/0.47 % (30399)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.47 % (30399)Termination reason: Unknown 0.19/0.47 % (30399)Termination phase: Saturation 0.19/0.47 0.19/0.47 % (30399)Memory used [KB]: 6140 0.19/0.47 % (30399)Time elapsed: 0.056 s 0.19/0.47 % (30399)Instructions burned: 128 (million) 0.19/0.47 % (30399)------------------------------ 0.19/0.47 % (30399)------------------------------ 0.19/0.49 % (30410)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi) 0.19/0.49 % (30411)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) 0.19/0.49 % (30410)Instruction limit reached! 0.19/0.49 % (30410)------------------------------ 0.19/0.49 % (30410)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.49 % (30410)Termination reason: Unknown 0.19/0.49 % (30410)Termination phase: shuffling 0.19/0.49 0.19/0.49 % (30410)Memory used [KB]: 1023 0.19/0.49 % (30410)Time elapsed: 0.003 s 0.19/0.49 % (30410)Instructions burned: 3 (million) 0.19/0.49 % (30410)------------------------------ 0.19/0.49 % (30410)------------------------------ 0.19/0.49 % (30409)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 (2998ds/275Mi) 0.19/0.49 % (30408)Instruction limit reached! 0.19/0.49 % (30408)------------------------------ 0.19/0.49 % (30408)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.49 % (30408)Termination reason: Unknown 0.19/0.49 % (30408)Termination phase: Saturation 0.19/0.49 0.19/0.49 % (30408)Memory used [KB]: 1279 0.19/0.49 % (30408)Time elapsed: 0.024 s 0.19/0.49 % (30408)Instructions burned: 56 (million) 0.19/0.49 % (30408)------------------------------ 0.19/0.49 % (30408)------------------------------ 0.19/0.50 % (30409)Refutation not found, incomplete strategy 0.19/0.50 % (30409)------------------------------ 0.19/0.50 % (30409)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.50 % (30409)Termination reason: Refutation not found, incomplete strategy 0.19/0.50 0.19/0.50 0.19/0.50 % (30409)Memory used [KB]: 5628 0.19/0.50 % (30409)Time elapsed: 0.008 s 0.19/0.50 % (30409)Instructions burned: 12 (million) 0.19/0.50 % (30409)------------------------------ 0.19/0.50 % (30409)------------------------------ 0.19/0.50 % (30411)Refutation not found, incomplete strategy 0.19/0.50 % (30411)------------------------------ 0.19/0.50 % (30411)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.50 % (30411)Termination reason: Refutation not found, incomplete strategy 0.19/0.50 0.19/0.50 0.19/0.50 % (30411)Memory used [KB]: 5756 0.19/0.50 % (30411)Time elapsed: 0.010 s 0.19/0.50 % (30411)Instructions burned: 18 (million) 0.19/0.50 % (30411)------------------------------ 0.19/0.50 % (30411)------------------------------ 0.19/0.50 % (30412)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2998ds/44Mi) 0.19/0.51 % (30413)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=191:si=on:rtra=on_0 on theBenchmark for (2998ds/191Mi) 0.19/0.51 % (30415)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=105:si=on:rtra=on_0 on theBenchmark for (2998ds/105Mi) 0.19/0.51 % (30414)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2998ds/62Mi) 0.19/0.52 % (30412)Instruction limit reached! 0.19/0.52 % (30412)------------------------------ 0.19/0.52 % (30412)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.52 % (30412)Termination reason: Unknown 0.19/0.52 % (30412)Termination phase: Saturation 0.19/0.52 0.19/0.52 % (30412)Memory used [KB]: 1407 0.19/0.52 % (30412)Time elapsed: 0.021 s 0.19/0.52 % (30412)Instructions burned: 44 (million) 0.19/0.52 % (30412)------------------------------ 0.19/0.52 % (30412)------------------------------ 1.41/0.54 % (30414)Instruction limit reached! 1.41/0.54 % (30414)------------------------------ 1.41/0.54 % (30414)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.41/0.54 % (30416)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi) 1.41/0.54 % (30414)Termination reason: Unknown 1.41/0.54 % (30414)Termination phase: Saturation 1.41/0.54 1.41/0.54 % (30414)Memory used [KB]: 6012 1.41/0.54 % (30414)Time elapsed: 0.030 s 1.41/0.54 % (30414)Instructions burned: 64 (million) 1.41/0.54 % (30414)------------------------------ 1.41/0.54 % (30414)------------------------------ 1.41/0.54 % (30416)Instruction limit reached! 1.41/0.54 % (30416)------------------------------ 1.41/0.54 % (30416)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.41/0.54 % (30416)Termination reason: Unknown 1.41/0.54 % (30416)Termination phase: shuffling 1.41/0.54 1.41/0.54 % (30416)Memory used [KB]: 1151 1.41/0.54 % (30416)Time elapsed: 0.003 s 1.41/0.54 % (30416)Instructions burned: 4 (million) 1.41/0.54 % (30416)------------------------------ 1.41/0.54 % (30416)------------------------------ 1.41/0.55 % (30388)Instruction limit reached! 1.41/0.55 % (30388)------------------------------ 1.41/0.55 % (30388)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.41/0.55 % (30388)Termination reason: Unknown 1.41/0.55 % (30388)Termination phase: Saturation 1.41/0.55 1.41/0.55 % (30388)Memory used [KB]: 7675 1.41/0.55 % (30388)Time elapsed: 0.174 s 1.41/0.55 % (30388)Instructions burned: 385 (million) 1.41/0.55 % (30388)------------------------------ 1.41/0.55 % (30388)------------------------------ 1.41/0.55 % (30417)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=238:si=on:rtra=on_0 on theBenchmark for (2998ds/238Mi) 1.57/0.55 % (30418)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 (2998ds/3Mi) 1.57/0.56 % (30418)Instruction limit reached! 1.57/0.56 % (30418)------------------------------ 1.57/0.56 % (30418)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.57/0.56 % (30418)Termination reason: Unknown 1.57/0.56 % (30418)Termination phase: shuffling 1.57/0.56 1.57/0.56 % (30418)Memory used [KB]: 1023 1.57/0.56 % (30418)Time elapsed: 0.003 s 1.57/0.56 % (30418)Instructions burned: 4 (million) 1.57/0.56 % (30418)------------------------------ 1.57/0.56 % (30418)------------------------------ 1.57/0.56 % (30415)Instruction limit reached! 1.57/0.56 % (30415)------------------------------ 1.57/0.56 % (30415)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.57/0.56 % (30415)Termination reason: Unknown 1.57/0.56 % (30415)Termination phase: Saturation 1.57/0.56 1.57/0.56 % (30415)Memory used [KB]: 6012 1.57/0.56 % (30415)Time elapsed: 0.049 s 1.57/0.56 % (30415)Instructions burned: 106 (million) 1.57/0.56 % (30415)------------------------------ 1.57/0.56 % (30415)------------------------------ 1.57/0.56 % (30419)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 (2998ds/4Mi) 1.57/0.56 % (30419)Instruction limit reached! 1.57/0.56 % (30419)------------------------------ 1.57/0.56 % (30419)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.57/0.56 % (30419)Termination reason: Unknown 1.57/0.56 % (30419)Termination phase: shuffling 1.57/0.56 1.57/0.56 % (30419)Memory used [KB]: 1151 1.57/0.56 % (30419)Time elapsed: 0.003 s 1.57/0.56 % (30419)Instructions burned: 4 (million) 1.57/0.56 % (30419)------------------------------ 1.57/0.56 % (30419)------------------------------ 1.57/0.57 % (30420)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 (2998ds/149Mi) 1.57/0.57 % (30421)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2998ds/150Mi) 1.57/0.58 % (30422)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=199:si=on:rtra=on_0 on theBenchmark for (2998ds/199Mi) 1.57/0.58 % (30413)Instruction limit reached! 1.57/0.58 % (30413)------------------------------ 1.57/0.58 % (30413)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.57/0.58 % (30413)Termination reason: Unknown 1.57/0.58 % (30413)Termination phase: Saturation 1.57/0.58 1.57/0.58 % (30413)Memory used [KB]: 6524 1.57/0.58 % (30413)Time elapsed: 0.081 s 1.57/0.58 % (30413)Instructions burned: 191 (million) 1.57/0.58 % (30413)------------------------------ 1.57/0.58 % (30413)------------------------------ 1.57/0.59 % (30422)Refutation not found, incomplete strategy 1.57/0.59 % (30422)------------------------------ 1.57/0.59 % (30422)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.57/0.59 % (30422)Termination reason: Refutation not found, incomplete strategy 1.57/0.59 1.57/0.59 1.57/0.59 % (30422)Memory used [KB]: 5756 1.57/0.59 % (30422)Time elapsed: 0.014 s 1.57/0.59 % (30422)Instructions burned: 31 (million) 1.57/0.59 % (30422)------------------------------ 1.57/0.59 % (30422)------------------------------ 1.57/0.60 % (30424)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi) 1.57/0.60 % (30425)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=721:si=on:rtra=on_0 on theBenchmark for (2997ds/721Mi) 1.57/0.62 % (30424)Instruction limit reached! 1.57/0.62 % (30424)------------------------------ 1.57/0.62 % (30424)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.57/0.62 % (30424)Termination reason: Unknown 1.57/0.62 % (30424)Termination phase: Saturation 1.57/0.62 1.57/0.62 % (30424)Memory used [KB]: 5756 1.57/0.62 % (30424)Time elapsed: 0.017 s 1.57/0.62 % (30424)Instructions burned: 39 (million) 1.57/0.62 % (30424)------------------------------ 1.57/0.62 % (30424)------------------------------ 1.57/0.62 % (30417)Instruction limit reached! 1.57/0.62 % (30417)------------------------------ 1.57/0.62 % (30417)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.57/0.62 % (30417)Termination reason: Unknown 1.57/0.62 % (30417)Termination phase: Saturation 1.57/0.62 1.57/0.62 % (30417)Memory used [KB]: 6140 1.57/0.62 % (30417)Time elapsed: 0.073 s 1.57/0.62 % (30417)Instructions burned: 241 (million) 1.57/0.62 % (30417)------------------------------ 1.57/0.62 % (30417)------------------------------ 1.57/0.63 % (30427)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 (2997ds/18Mi) 2.02/0.63 % (30426)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi) 2.02/0.63 % (30421)Instruction limit reached! 2.02/0.63 % (30421)------------------------------ 2.02/0.63 % (30421)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.02/0.63 % (30421)Termination reason: Unknown 2.02/0.63 % (30421)Termination phase: Saturation 2.02/0.63 2.02/0.63 % (30421)Memory used [KB]: 5756 2.02/0.63 % (30421)Time elapsed: 0.085 s 2.02/0.63 % (30421)Instructions burned: 151 (million) 2.02/0.63 % (30421)------------------------------ 2.02/0.63 % (30421)------------------------------ 2.02/0.63 % (30426)Instruction limit reached! 2.02/0.63 % (30426)------------------------------ 2.02/0.63 % (30426)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.02/0.63 % (30426)Termination reason: Unknown 2.02/0.63 % (30426)Termination phase: shuffling 2.02/0.63 2.02/0.63 % (30426)Memory used [KB]: 1023 2.02/0.63 % (30426)Time elapsed: 0.003 s 2.02/0.63 % (30426)Instructions burned: 3 (million) 2.02/0.63 % (30426)------------------------------ 2.02/0.63 % (30426)------------------------------ 2.02/0.64 % (30427)Instruction limit reached! 2.02/0.64 % (30427)------------------------------ 2.02/0.64 % (30427)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.02/0.64 % (30427)Termination reason: Unknown 2.02/0.64 % (30427)Termination phase: Saturation 2.02/0.64 2.02/0.64 % (30427)Memory used [KB]: 5756 2.02/0.64 % (30427)Time elapsed: 0.029 s 2.02/0.64 % (30427)Instructions burned: 18 (million) 2.02/0.64 % (30427)------------------------------ 2.02/0.64 % (30427)------------------------------ 2.02/0.64 % (30420)Instruction limit reached! 2.02/0.64 % (30420)------------------------------ 2.02/0.64 % (30420)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.02/0.64 % (30420)Termination reason: Unknown 2.02/0.64 % (30420)Termination phase: Saturation 2.02/0.64 2.02/0.64 % (30420)Memory used [KB]: 6396 2.02/0.64 % (30420)Time elapsed: 0.098 s 2.02/0.64 % (30420)Instructions burned: 150 (million) 2.02/0.64 % (30420)------------------------------ 2.02/0.64 % (30420)------------------------------ 2.02/0.64 % (30430)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 (2997ds/6Mi) 2.02/0.64 % (30429)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) 2.02/0.65 % (30430)Instruction limit reached! 2.02/0.65 % (30430)------------------------------ 2.02/0.65 % (30430)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.02/0.65 % (30430)Termination reason: Unknown 2.02/0.65 % (30430)Termination phase: Property scanning 2.02/0.65 2.02/0.65 % (30430)Memory used [KB]: 1151 2.02/0.65 % (30430)Time elapsed: 0.003 s 2.02/0.65 % (30430)Instructions burned: 6 (million) 2.02/0.65 % (30430)------------------------------ 2.02/0.65 % (30430)------------------------------ 2.02/0.65 % (30428)lrs+10_1:1_au=on:c=on:sac=on:slsq=on:slsqc=2:i=218:si=on:rtra=on_0 on theBenchmark for (2997ds/218Mi) 2.02/0.65 % (30432)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2997ds/16Mi) 2.02/0.66 % (30431)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=9:si=on:rtra=on_0 on theBenchmark for (2997ds/9Mi) 2.02/0.66 % (30432)Instruction limit reached! 2.02/0.66 % (30432)------------------------------ 2.02/0.66 % (30432)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.02/0.66 % (30432)Termination reason: Unknown 2.02/0.66 % (30432)Termination phase: Property scanning 2.02/0.66 2.02/0.66 % (30432)Memory used [KB]: 1151 2.02/0.66 % (30432)Time elapsed: 0.006 s 2.02/0.66 % (30432)Instructions burned: 16 (million) 2.02/0.66 % (30432)------------------------------ 2.02/0.66 % (30432)------------------------------ 2.02/0.66 % (30431)Instruction limit reached! 2.02/0.66 % (30431)------------------------------ 2.02/0.66 % (30431)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.02/0.66 % (30431)Termination reason: Unknown 2.02/0.66 % (30431)Termination phase: Property scanning 2.02/0.66 2.02/0.66 % (30431)Memory used [KB]: 1151 2.02/0.66 % (30431)Time elapsed: 0.006 s 2.02/0.66 % (30431)Instructions burned: 9 (million) 2.02/0.66 % (30431)------------------------------ 2.02/0.66 % (30431)------------------------------ 2.02/0.67 % (30433)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=40:si=on:rtra=on_0 on theBenchmark for (2996ds/40Mi) 2.38/0.68 % (30434)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2996ds/2Mi) 2.38/0.68 % (30434)Instruction limit reached! 2.38/0.68 % (30434)------------------------------ 2.38/0.68 % (30434)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.38/0.68 % (30434)Termination reason: Unknown 2.38/0.68 % (30434)Termination phase: shuffling 2.38/0.68 2.38/0.68 % (30434)Memory used [KB]: 1023 2.38/0.68 % (30434)Time elapsed: 0.003 s 2.38/0.68 % (30434)Instructions burned: 4 (million) 2.38/0.68 % (30434)------------------------------ 2.38/0.68 % (30434)------------------------------ 2.38/0.68 % (30433)Instruction limit reached! 2.38/0.68 % (30433)------------------------------ 2.38/0.68 % (30433)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.38/0.68 % (30433)Termination reason: Unknown 2.38/0.68 % (30433)Termination phase: Saturation 2.38/0.68 2.38/0.68 % (30433)Memory used [KB]: 5756 2.38/0.68 % (30433)Time elapsed: 0.012 s 2.38/0.68 % (30433)Instructions burned: 40 (million) 2.38/0.68 % (30433)------------------------------ 2.38/0.68 % (30433)------------------------------ 2.38/0.69 % (30435)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 (2996ds/98Mi) 2.38/0.69 % (30436)lrs+1004_1:1_chr=on:prag=on:i=8:si=on:rtra=on_0 on theBenchmark for (2996ds/8Mi) 2.38/0.70 % (30436)Instruction limit reached! 2.38/0.70 % (30436)------------------------------ 2.38/0.70 % (30436)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.38/0.70 % (30436)Termination reason: Unknown 2.38/0.70 % (30436)Termination phase: Property scanning 2.38/0.70 2.38/0.70 % (30436)Memory used [KB]: 1151 2.38/0.70 % (30436)Time elapsed: 0.005 s 2.38/0.70 % (30436)Instructions burned: 8 (million) 2.38/0.70 % (30436)------------------------------ 2.38/0.70 % (30436)------------------------------ 2.38/0.72 % (30437)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 (2996ds/86Mi) 2.38/0.73 % (30398)Refutation not found, non-redundant clauses discarded% (30398)------------------------------ 2.38/0.73 % (30398)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.38/0.73 % (30398)Termination reason: Refutation not found, non-redundant clauses discarded 2.38/0.73 2.38/0.73 % (30398)Memory used [KB]: 8955 2.38/0.73 % (30398)Time elapsed: 0.320 s 2.38/0.73 % (30398)Instructions burned: 677 (million) 2.38/0.73 % (30398)------------------------------ 2.38/0.73 % (30398)------------------------------ 2.38/0.73 % (30435)Instruction limit reached! 2.38/0.73 % (30435)------------------------------ 2.38/0.73 % (30435)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.38/0.73 % (30435)Termination reason: Unknown 2.38/0.73 % (30435)Termination phase: Saturation 2.38/0.73 2.38/0.73 % (30435)Memory used [KB]: 1535 2.38/0.73 % (30435)Time elapsed: 0.034 s 2.38/0.73 % (30435)Instructions burned: 99 (million) 2.38/0.73 % (30435)------------------------------ 2.38/0.73 % (30435)------------------------------ 2.65/0.74 % (30428)Instruction limit reached! 2.65/0.74 % (30428)------------------------------ 2.65/0.74 % (30428)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.65/0.74 % (30428)Termination reason: Unknown 2.65/0.74 % (30428)Termination phase: Saturation 2.65/0.74 2.65/0.74 % (30428)Memory used [KB]: 6652 2.65/0.74 % (30428)Time elapsed: 0.095 s 2.65/0.74 % (30428)Instructions burned: 218 (million) 2.65/0.74 % (30428)------------------------------ 2.65/0.74 % (30428)------------------------------ 2.65/0.75 % (30438)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 (2996ds/3Mi) 2.65/0.75 % (30438)Instruction limit reached! 2.65/0.75 % (30438)------------------------------ 2.65/0.75 % (30438)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.65/0.75 % (30438)Termination reason: Unknown 2.65/0.75 % (30438)Termination phase: shuffling 2.65/0.75 2.65/0.75 % (30438)Memory used [KB]: 1151 2.65/0.75 % (30438)Time elapsed: 0.005 s 2.65/0.75 % (30438)Instructions burned: 4 (million) 2.65/0.75 % (30438)------------------------------ 2.65/0.75 % (30438)------------------------------ 2.65/0.75 % (30439)lrs+1010_1:1024_au=on:hud=10:ntd=on:ss=included:i=294:si=on:rtra=on_0 on theBenchmark for (2996ds/294Mi) 2.65/0.75 % (30440)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=274:si=on:rtra=on_0 on theBenchmark for (2996ds/274Mi) 2.65/0.76 % (30437)Instruction limit reached! 2.65/0.76 % (30437)------------------------------ 2.65/0.76 % (30437)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.65/0.76 % (30437)Termination reason: Unknown 2.65/0.76 % (30437)Termination phase: Saturation 2.65/0.76 2.65/0.76 % (30437)Memory used [KB]: 6012 2.65/0.76 % (30437)Time elapsed: 0.035 s 2.65/0.76 % (30437)Instructions burned: 87 (million) 2.65/0.76 % (30437)------------------------------ 2.65/0.76 % (30437)------------------------------ 2.86/0.76 % (30441)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2996ds/47Mi) 2.86/0.77 % (30442)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 (2996ds/37Mi) 2.86/0.78 % (30441)Instruction limit reached! 2.86/0.78 % (30441)------------------------------ 2.86/0.78 % (30441)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.86/0.78 % (30441)Termination reason: Unknown 2.86/0.78 % (30441)Termination phase: Saturation 2.86/0.78 2.86/0.78 % (30441)Memory used [KB]: 5756 2.86/0.78 % (30441)Time elapsed: 0.022 s 2.86/0.78 % (30441)Instructions burned: 50 (million) 2.86/0.78 % (30441)------------------------------ 2.86/0.78 % (30441)------------------------------ 2.86/0.79 % (30442)Instruction limit reached! 2.86/0.79 % (30442)------------------------------ 2.86/0.79 % (30442)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.86/0.79 % (30442)Termination reason: Unknown 2.86/0.79 % (30442)Termination phase: Saturation 2.86/0.79 2.86/0.79 % (30442)Memory used [KB]: 5756 2.86/0.79 % (30442)Time elapsed: 0.018 s 2.86/0.79 % (30442)Instructions burned: 39 (million) 2.86/0.79 % (30442)------------------------------ 2.86/0.79 % (30442)------------------------------ 2.86/0.80 % (30444)lrs+10_8:1_au=on:e2e=on:hfsq=on:hfsqc=1:ins=3:s2a=on:s2at=3.0:ss=axioms:i=19:si=on:rtra=on_0 on theBenchmark for (2995ds/19Mi) 2.86/0.80 % (30443)lrs+1002_1:16_av=off:e2e=on:fe=axiom:prag=on:sos=on:ss=axioms:i=3:si=on:rtra=on_0 on theBenchmark for (2995ds/3Mi) 2.86/0.80 % (30443)Instruction limit reached! 2.86/0.80 % (30443)------------------------------ 2.86/0.80 % (30443)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.86/0.80 % (30443)Termination reason: Unknown 2.86/0.80 % (30443)Termination phase: shuffling 2.86/0.80 2.86/0.80 % (30443)Memory used [KB]: 1151 2.86/0.80 % (30443)Time elapsed: 0.003 s 2.86/0.80 % (30443)Instructions burned: 5 (million) 2.86/0.80 % (30443)------------------------------ 2.86/0.80 % (30443)------------------------------ 2.86/0.81 % (30444)Instruction limit reached! 2.86/0.81 % (30444)------------------------------ 2.86/0.81 % (30444)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.86/0.81 % (30444)Termination reason: Unknown 2.86/0.81 % (30444)Termination phase: Saturation 2.86/0.81 2.86/0.81 % (30444)Memory used [KB]: 5756 2.86/0.81 % (30444)Time elapsed: 0.011 s 2.86/0.81 % (30444)Instructions burned: 19 (million) 2.86/0.81 % (30444)------------------------------ 2.86/0.81 % (30444)------------------------------ 3.07/0.82 % (30447)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=44:si=on:rtra=on_0 on theBenchmark for (2995ds/44Mi) 3.07/0.84 % (30446)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:i=5:si=on:rtra=on_0 on theBenchmark for (2995ds/5Mi) 3.07/0.84 % (30446)Instruction limit reached! 3.07/0.84 % (30446)------------------------------ 3.07/0.84 % (30446)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.07/0.84 % (30446)Termination reason: Unknown 3.07/0.84 % (30446)Termination phase: Property scanning 3.07/0.84 3.07/0.84 % (30446)Memory used [KB]: 1151 3.07/0.84 % (30446)Time elapsed: 0.003 s 3.07/0.84 % (30446)Instructions burned: 8 (million) 3.07/0.84 % (30446)------------------------------ 3.07/0.84 % (30446)------------------------------ 3.07/0.84 % (30447)Instruction limit reached! 3.07/0.84 % (30447)------------------------------ 3.07/0.84 % (30447)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.07/0.84 % (30447)Termination reason: Unknown 3.07/0.84 % (30447)Termination phase: Saturation 3.07/0.84 3.07/0.84 % (30447)Memory used [KB]: 10490 3.07/0.84 % (30447)Time elapsed: 0.021 s 3.07/0.84 % (30447)Instructions burned: 44 (million) 3.07/0.84 % (30447)------------------------------ 3.07/0.84 % (30447)------------------------------ 3.07/0.84 % (30429)Instruction limit reached! 3.07/0.84 % (30429)------------------------------ 3.07/0.84 % (30429)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.07/0.84 % (30429)Termination reason: Unknown 3.07/0.84 % (30429)Termination phase: Saturation 3.07/0.84 3.07/0.84 % (30429)Memory used [KB]: 7164 3.07/0.84 % (30429)Time elapsed: 0.201 s 3.07/0.84 % (30429)Instructions burned: 448 (million) 3.07/0.84 % (30429)------------------------------ 3.07/0.84 % (30429)------------------------------ 3.38/0.85 % (30449)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=102:si=on:rtra=on_0 on theBenchmark for (2995ds/102Mi) 3.38/0.86 % (30450)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on theBenchmark for (2995ds/134Mi) 3.38/0.86 % (30448)ott+21_1:3_bd=off:cnfonf=lazy_gen:fe=off:hfsq=on:hfsqc=3:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=450:si=on:rtra=on_0 on theBenchmark for (2995ds/450Mi) 3.38/0.86 % (30439)Instruction limit reached! 3.38/0.86 % (30439)------------------------------ 3.38/0.86 % (30439)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.38/0.86 % (30439)Termination reason: Unknown 3.38/0.86 % (30439)Termination phase: Saturation 3.38/0.86 3.38/0.86 % (30439)Memory used [KB]: 7164 3.38/0.86 % (30439)Time elapsed: 0.086 s 3.38/0.86 % (30439)Instructions burned: 294 (million) 3.38/0.86 % (30439)------------------------------ 3.38/0.86 % (30439)------------------------------ 3.38/0.88 % (30395)Instruction limit reached! 3.38/0.88 % (30395)------------------------------ 3.38/0.88 % (30395)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.38/0.88 % (30395)Termination reason: Unknown 3.38/0.88 % (30395)Termination phase: Saturation 3.38/0.88 3.38/0.88 % (30395)Memory used [KB]: 9210 3.38/0.88 % (30395)Time elapsed: 0.486 s 3.38/0.88 % (30395)Instructions burned: 1022 (million) 3.38/0.88 % (30395)------------------------------ 3.38/0.88 % (30395)------------------------------ 3.38/0.88 % (30440)Instruction limit reached! 3.38/0.88 % (30440)------------------------------ 3.38/0.88 % (30440)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.38/0.88 % (30440)Termination reason: Unknown 3.38/0.88 % (30440)Termination phase: Saturation 3.38/0.88 3.38/0.88 % (30440)Memory used [KB]: 6140 3.38/0.88 % (30440)Time elapsed: 0.129 s 3.38/0.88 % (30440)Instructions burned: 274 (million) 3.38/0.88 % (30440)------------------------------ 3.38/0.88 % (30440)------------------------------ 3.38/0.88 % (30451)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on theBenchmark for (2995ds/204Mi) 3.38/0.89 % (30449)Instruction limit reached! 3.38/0.89 % (30449)------------------------------ 3.38/0.89 % (30449)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.38/0.89 % (30449)Termination reason: Unknown 3.38/0.89 % (30449)Termination phase: Saturation 3.38/0.89 3.38/0.89 % (30449)Memory used [KB]: 6012 3.38/0.89 % (30449)Time elapsed: 0.043 s 3.38/0.89 % (30449)Instructions burned: 102 (million) 3.38/0.89 % (30449)------------------------------ 3.38/0.89 % (30449)------------------------------ 3.38/0.89 % (30453)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on theBenchmark for (2994ds/154Mi) 3.38/0.90 % (30454)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=424:si=on:rtra=on_0 on theBenchmark for (2994ds/424Mi) 3.38/0.90 % (30454)Refutation not found, incomplete strategy 3.38/0.90 % (30454)------------------------------ 3.38/0.90 % (30454)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.38/0.90 % (30454)Termination reason: Refutation not found, incomplete strategy 3.38/0.90 3.38/0.90 3.38/0.90 % (30454)Memory used [KB]: 5628 3.38/0.90 % (30454)Time elapsed: 0.007 s 3.38/0.90 % (30454)Instructions burned: 11 (million) 3.38/0.90 % (30454)------------------------------ 3.38/0.90 % (30454)------------------------------ 3.38/0.91 % (30455)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2994ds/41Mi) 3.38/0.91 % (30450)Instruction limit reached! 3.38/0.91 % (30450)------------------------------ 3.38/0.91 % (30450)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.38/0.91 % (30450)Termination reason: Unknown 3.38/0.91 % (30450)Termination phase: Saturation 3.38/0.91 3.38/0.91 % (30450)Memory used [KB]: 6268 3.38/0.91 % (30450)Time elapsed: 0.058 s 3.38/0.91 % (30450)Instructions burned: 135 (million) 3.38/0.91 % (30450)------------------------------ 3.38/0.91 % (30450)------------------------------ 3.38/0.92 % (30456)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on theBenchmark for (2994ds/231Mi) 3.38/0.92 % (30455)Instruction limit reached! 3.38/0.92 % (30455)------------------------------ 3.38/0.92 % (30455)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.38/0.92 % (30455)Termination reason: Unknown 3.38/0.92 % (30455)Termination phase: Saturation 3.38/0.92 3.38/0.92 % (30455)Memory used [KB]: 5756 3.38/0.92 % (30455)Time elapsed: 0.019 s 3.38/0.92 % (30455)Instructions burned: 41 (million) 3.38/0.92 % (30455)------------------------------ 3.38/0.92 % (30455)------------------------------ 3.38/0.93 % (30457)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on theBenchmark for (2994ds/70Mi) 3.91/0.94 % (30458)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=297:si=on:rtra=on_0 on theBenchmark for (2994ds/297Mi) 3.91/0.95 % (30404)Instruction limit reached! 3.91/0.95 % (30404)------------------------------ 3.91/0.95 % (30404)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.91/0.95 % (30404)Termination reason: Unknown 3.91/0.95 % (30404)Termination phase: Saturation 3.91/0.95 3.91/0.95 % (30404)Memory used [KB]: 9083 3.91/0.95 % (30404)Time elapsed: 0.507 s 3.91/0.95 % (30404)Instructions burned: 1041 (million) 3.91/0.95 % (30404)------------------------------ 3.91/0.95 % (30404)------------------------------ 3.91/0.95 % (30425)Instruction limit reached! 3.91/0.95 % (30425)------------------------------ 3.91/0.95 % (30425)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.91/0.95 % (30425)Termination reason: Unknown 3.91/0.95 % (30425)Termination phase: Saturation 3.91/0.95 3.91/0.95 % (30425)Memory used [KB]: 7803 3.91/0.95 % (30425)Time elapsed: 0.375 s 3.91/0.95 % (30425)Instructions burned: 722 (million) 3.91/0.95 % (30425)------------------------------ 3.91/0.95 % (30425)------------------------------ 3.91/0.96 % (30457)Instruction limit reached! 3.91/0.96 % (30457)------------------------------ 3.91/0.96 % (30457)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.91/0.96 % (30457)Termination reason: Unknown 3.91/0.96 % (30457)Termination phase: Saturation 3.91/0.96 3.91/0.96 % (30457)Memory used [KB]: 1918 3.91/0.96 % (30457)Time elapsed: 0.055 s 3.91/0.96 % (30457)Instructions burned: 72 (million) 3.91/0.96 % (30457)------------------------------ 3.91/0.96 % (30457)------------------------------ 3.91/0.96 % (30459)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on theBenchmark for (2994ds/182Mi) 3.91/0.97 % (30453)Instruction limit reached! 3.91/0.97 % (30453)------------------------------ 3.91/0.97 % (30453)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.91/0.97 % (30453)Termination reason: Unknown 3.91/0.97 % (30453)Termination phase: Saturation 3.91/0.97 3.91/0.97 % (30453)Memory used [KB]: 6140 3.91/0.97 % (30453)Time elapsed: 0.075 s 3.91/0.97 % (30453)Instructions burned: 154 (million) 3.91/0.97 % (30453)------------------------------ 3.91/0.97 % (30453)------------------------------ 3.91/0.97 % (30460)lrs+1010_1:1024_au=on:fe=axiom:lwlo=on:nm=0:ntd=on:nwc=10.0:spb=non_intro:uhcvi=on:i=130:si=on:rtra=on_0 on theBenchmark for (2994ds/130Mi) 3.91/0.97 % (30451)Instruction limit reached! 3.91/0.97 % (30451)------------------------------ 3.91/0.97 % (30451)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.91/0.97 % (30451)Termination reason: Unknown 3.91/0.97 % (30451)Termination phase: Saturation 3.91/0.97 3.91/0.97 % (30451)Memory used [KB]: 6524 3.91/0.97 % (30451)Time elapsed: 0.081 s 3.91/0.97 % (30451)Instructions burned: 205 (million) 3.91/0.97 % (30451)------------------------------ 3.91/0.97 % (30451)------------------------------ 3.91/0.97 % (30461)lrs+21_1:16_au=on:cbe=off:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=7,4:i=570:si=on:rtra=on_0 on theBenchmark for (2994ds/570Mi) 4.53/0.98 % (30463)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=190:si=on:rtra=on_0 on theBenchmark for (2994ds/190Mi) 4.53/0.99 % (30462)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on theBenchmark for (2994ds/297Mi) 4.53/1.01 % (30459)Instruction limit reached! 4.53/1.01 % (30459)------------------------------ 4.53/1.01 % (30459)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.53/1.01 % (30459)Termination reason: Unknown 4.53/1.01 % (30459)Termination phase: Saturation 4.53/1.01 4.53/1.01 % (30459)Memory used [KB]: 6524 4.53/1.01 % (30459)Time elapsed: 0.050 s 4.53/1.01 % (30459)Instructions burned: 184 (million) 4.53/1.01 % (30459)------------------------------ 4.53/1.01 % (30459)------------------------------ 4.53/1.02 % (30464)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on theBenchmark for (2993ds/96Mi) 4.53/1.02 % (30460)Instruction limit reached! 4.53/1.02 % (30460)------------------------------ 4.53/1.02 % (30460)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.53/1.02 % (30460)Termination reason: Unknown 4.53/1.02 % (30460)Termination phase: Saturation 4.53/1.02 4.53/1.02 % (30460)Memory used [KB]: 6140 4.53/1.02 % (30460)Time elapsed: 0.055 s 4.53/1.02 % (30460)Instructions burned: 130 (million) 4.53/1.02 % (30460)------------------------------ 4.53/1.02 % (30460)------------------------------ 4.53/1.03 % (30456)Instruction limit reached! 4.53/1.03 % (30456)------------------------------ 4.53/1.03 % (30456)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.53/1.03 % (30456)Termination reason: Unknown 4.53/1.03 % (30456)Termination phase: Saturation 4.53/1.03 4.53/1.03 % (30456)Memory used [KB]: 6780 4.53/1.03 % (30456)Time elapsed: 0.136 s 4.53/1.03 % (30456)Instructions burned: 232 (million) 4.53/1.03 % (30456)------------------------------ 4.53/1.03 % (30456)------------------------------ 4.53/1.04 % (30465)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on theBenchmark for (2993ds/182Mi) 4.79/1.04 % (30448)Instruction limit reached! 4.79/1.04 % (30448)------------------------------ 4.79/1.04 % (30448)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.79/1.04 % (30448)Termination reason: Unknown 4.79/1.04 % (30448)Termination phase: Saturation 4.79/1.04 4.79/1.04 % (30448)Memory used [KB]: 7547 4.79/1.04 % (30448)Time elapsed: 0.193 s 4.79/1.04 % (30448)Instructions burned: 450 (million) 4.79/1.04 % (30448)------------------------------ 4.79/1.04 % (30448)------------------------------ 4.79/1.04 % (30466)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on theBenchmark for (2993ds/368Mi) 4.79/1.05 % (30464)Instruction limit reached! 4.79/1.05 % (30464)------------------------------ 4.79/1.05 % (30464)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.79/1.05 % (30464)Termination reason: Unknown 4.79/1.05 % (30464)Termination phase: Saturation 4.79/1.05 4.79/1.05 % (30464)Memory used [KB]: 6268 4.79/1.05 % (30464)Time elapsed: 0.031 s 4.79/1.05 % (30464)Instructions burned: 98 (million) 4.79/1.05 % (30464)------------------------------ 4.79/1.05 % (30464)------------------------------ 4.79/1.06 % (30467)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=390:si=on:rtra=on_0 on theBenchmark for (2993ds/390Mi) 4.79/1.07 % (30463)Instruction limit reached! 4.79/1.07 % (30463)------------------------------ 4.79/1.07 % (30463)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.79/1.07 % (30463)Termination reason: Unknown 4.79/1.07 % (30463)Termination phase: Saturation 4.79/1.07 4.79/1.07 % (30463)Memory used [KB]: 6396 4.79/1.07 % (30463)Time elapsed: 0.085 s 4.79/1.07 % (30463)Instructions burned: 190 (million) 4.79/1.07 % (30463)------------------------------ 4.79/1.07 % (30463)------------------------------ 4.79/1.07 % (30468)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2993ds/192Mi) 4.79/1.07 % (30458)Instruction limit reached! 4.79/1.07 % (30458)------------------------------ 4.79/1.07 % (30458)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.79/1.07 % (30458)Termination reason: Unknown 4.79/1.07 % (30458)Termination phase: Saturation 4.79/1.07 4.79/1.07 % (30458)Memory used [KB]: 7164 4.79/1.07 % (30458)Time elapsed: 0.132 s 4.79/1.07 % (30458)Instructions burned: 297 (million) 4.79/1.07 % (30458)------------------------------ 4.79/1.07 % (30458)------------------------------ 4.79/1.08 % (30469)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=279:si=on:rtra=on_0 on theBenchmark for (2992ds/279Mi) 5.55/1.08 % (30470)lrs+1010_1:1024_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:ixr=off:i=25:si=on:rtra=on_0 on theBenchmark for (2992ds/25Mi) 5.55/1.09 % (30470)Instruction limit reached! 5.55/1.09 % (30470)------------------------------ 5.55/1.09 % (30470)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 5.55/1.09 % (30470)Termination reason: Unknown 5.55/1.09 % (30470)Termination phase: Saturation 5.55/1.09 5.55/1.09 % (30470)Memory used [KB]: 5756 5.55/1.09 % (30470)Time elapsed: 0.012 s 5.55/1.09 % (30470)Instructions burned: 25 (million) 5.55/1.09 % (30470)------------------------------ 5.55/1.09 % (30470)------------------------------ 5.55/1.12 % (30471)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=940:si=on:rtra=on_0 on theBenchmark for (2992ds/940Mi) 5.55/1.13 % (30465)Instruction limit reached! 5.55/1.13 % (30465)------------------------------ 5.55/1.13 % (30465)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 5.55/1.13 % (30465)Termination reason: Unknown 5.55/1.13 % (30465)Termination phase: Saturation 5.55/1.13 5.55/1.13 % (30465)Memory used [KB]: 6140 5.55/1.13 % (30465)Time elapsed: 0.094 s 5.55/1.13 % (30465)Instructions burned: 183 (million) 5.55/1.13 % (30465)------------------------------ 5.55/1.13 % (30465)------------------------------ 5.55/1.13 % (30462)Instruction limit reached! 5.55/1.13 % (30462)------------------------------ 5.55/1.13 % (30462)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 5.55/1.13 % (30462)Termination reason: Unknown 5.55/1.13 % (30462)Termination phase: Saturation 5.55/1.13 5.55/1.13 % (30462)Memory used [KB]: 6268 5.55/1.13 % (30462)Time elapsed: 0.169 s 5.55/1.13 % (30462)Instructions burned: 298 (million) 5.55/1.13 % (30462)------------------------------ 5.55/1.13 % (30462)------------------------------ 5.92/1.15 % (30473)lrs+10_1:1_cnfonf=lazy_gen:hud=7:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=103:si=on:rtra=on_0 on theBenchmark for (2992ds/103Mi) 5.92/1.15 % (30472)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=422:si=on:rtra=on_0 on theBenchmark for (2992ds/422Mi) 5.92/1.16 % (30468)Instruction limit reached! 5.92/1.16 % (30468)------------------------------ 5.92/1.16 % (30468)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 5.92/1.16 % (30468)Termination reason: Unknown 5.92/1.16 % (30468)Termination phase: Saturation 5.92/1.16 5.92/1.16 % (30468)Memory used [KB]: 6524 5.92/1.16 % (30468)Time elapsed: 0.081 s 5.92/1.16 % (30468)Instructions burned: 192 (million) 5.92/1.16 % (30468)------------------------------ 5.92/1.16 % (30468)------------------------------ 6.03/1.17 % (30474)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on theBenchmark for (2992ds/182Mi) 6.03/1.18 % (30467)Instruction limit reached! 6.03/1.18 % (30467)------------------------------ 6.03/1.18 % (30467)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.03/1.18 % (30467)Termination reason: Unknown 6.03/1.18 % (30467)Termination phase: Saturation 6.03/1.18 6.03/1.18 % (30467)Memory used [KB]: 8443 6.03/1.18 % (30467)Time elapsed: 0.109 s 6.03/1.18 % (30467)Instructions burned: 392 (million) 6.03/1.18 % (30467)------------------------------ 6.03/1.18 % (30467)------------------------------ 6.03/1.19 % (30475)lrs+10_1:5_av=off:bd=off:fd=off:kws=precedence:nwc=3.0:prag=on:rawr=on:sos=all:sp=reverse_frequency:i=230:si=on:rtra=on_0 on theBenchmark for (2991ds/230Mi) 6.03/1.19 % (30473)Instruction limit reached! 6.03/1.19 % (30473)------------------------------ 6.03/1.19 % (30473)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.03/1.19 % (30473)Termination reason: Unknown 6.03/1.19 % (30473)Termination phase: Saturation 6.03/1.19 6.03/1.19 % (30473)Memory used [KB]: 6396 6.03/1.19 % (30473)Time elapsed: 0.049 s 6.03/1.19 % (30473)Instructions burned: 103 (million) 6.03/1.19 % (30473)------------------------------ 6.03/1.19 % (30473)------------------------------ 6.03/1.20 % (30469)Instruction limit reached! 6.03/1.20 % (30469)------------------------------ 6.03/1.20 % (30469)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.03/1.20 % (30469)Termination reason: Unknown 6.03/1.20 % (30469)Termination phase: Saturation 6.03/1.20 6.03/1.20 % (30469)Memory used [KB]: 6652 6.03/1.20 % (30469)Time elapsed: 0.121 s 6.03/1.20 % (30469)Instructions burned: 279 (million) 6.03/1.20 % (30469)------------------------------ 6.03/1.20 % (30469)------------------------------ 6.03/1.21 % (30476)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2991ds/83Mi) 6.03/1.21 % (30477)lrs+1002_1:1_anc=all:cbe=off:cnfonf=lazy_not_gen_be_off:fe=off:hud=5:nwc=10.0:plsq=on:plsqr=32,1:prag=on:sp=unary_first:i=202:si=on:rtra=on_0 on theBenchmark for (2991ds/202Mi) 6.03/1.21 % (30466)Instruction limit reached! 6.03/1.21 % (30466)------------------------------ 6.03/1.21 % (30466)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.03/1.21 % (30466)Termination reason: Unknown 6.03/1.21 % (30466)Termination phase: Saturation 6.03/1.21 6.03/1.21 % (30466)Memory used [KB]: 8443 6.03/1.21 % (30466)Time elapsed: 0.170 s 6.03/1.21 % (30466)Instructions burned: 369 (million) 6.03/1.21 % (30466)------------------------------ 6.03/1.21 % (30466)------------------------------ 6.03/1.23 % (30478)lrs+1010_1:1_cbe=off:cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=148:si=on:rtra=on_0 on theBenchmark for (2991ds/148Mi) 6.35/1.25 % (30476)Instruction limit reached! 6.35/1.25 % (30476)------------------------------ 6.35/1.25 % (30476)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.35/1.25 % (30476)Termination reason: Unknown 6.35/1.25 % (30476)Termination phase: Saturation 6.35/1.25 6.35/1.25 % (30476)Memory used [KB]: 5884 6.35/1.25 % (30476)Time elapsed: 0.040 s 6.35/1.25 % (30476)Instructions burned: 84 (million) 6.35/1.25 % (30476)------------------------------ 6.35/1.25 % (30476)------------------------------ 6.35/1.25 % (30475)Instruction limit reached! 6.35/1.25 % (30475)------------------------------ 6.35/1.25 % (30475)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.35/1.25 % (30475)Termination reason: Unknown 6.35/1.25 % (30475)Termination phase: Saturation 6.35/1.25 6.35/1.25 % (30475)Memory used [KB]: 2174 6.35/1.25 % (30475)Time elapsed: 0.062 s 6.35/1.25 % (30475)Instructions burned: 232 (million) 6.35/1.25 % (30475)------------------------------ 6.35/1.25 % (30475)------------------------------ 6.35/1.25 % (30461)Instruction limit reached! 6.35/1.25 % (30461)------------------------------ 6.35/1.25 % (30461)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.35/1.25 % (30461)Termination reason: Unknown 6.35/1.25 % (30461)Termination phase: Saturation 6.35/1.25 6.35/1.25 % (30461)Memory used [KB]: 7419 6.35/1.25 % (30461)Time elapsed: 0.299 s 6.35/1.25 % (30461)Instructions burned: 571 (million) 6.35/1.25 % (30461)------------------------------ 6.35/1.25 % (30461)------------------------------ 6.35/1.25 % (30479)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on theBenchmark for (2991ds/104Mi) 6.51/1.26 % (30474)Instruction limit reached! 6.51/1.26 % (30474)------------------------------ 6.51/1.26 % (30474)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.51/1.26 % (30474)Termination reason: Unknown 6.51/1.26 % (30474)Termination phase: Saturation 6.51/1.26 6.51/1.26 % (30474)Memory used [KB]: 6012 6.51/1.26 % (30474)Time elapsed: 0.088 s 6.51/1.26 % (30474)Instructions burned: 183 (million) 6.51/1.26 % (30474)------------------------------ 6.51/1.26 % (30474)------------------------------ 6.51/1.26 % (30480)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2991ds/6Mi) 6.51/1.26 % (30481)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1200:si=on:rtra=on_0 on theBenchmark for (2991ds/1200Mi) 6.51/1.26 % (30480)Instruction limit reached! 6.51/1.26 % (30480)------------------------------ 6.51/1.26 % (30480)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.51/1.26 % (30480)Termination reason: Unknown 6.51/1.26 % (30480)Termination phase: Property scanning 6.51/1.26 6.51/1.26 % (30480)Memory used [KB]: 1151 6.51/1.26 % (30480)Time elapsed: 0.004 s 6.51/1.26 % (30480)Instructions burned: 6 (million) 6.51/1.26 % (30480)------------------------------ 6.51/1.26 % (30480)------------------------------ 6.51/1.27 % (30481)Refutation not found, incomplete strategy 6.51/1.27 % (30481)------------------------------ 6.51/1.27 % (30481)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.51/1.27 % (30481)Termination reason: Refutation not found, incomplete strategy 6.51/1.27 6.51/1.27 6.51/1.27 % (30481)Memory used [KB]: 5756 6.51/1.27 % (30481)Time elapsed: 0.013 s 6.51/1.27 % (30481)Instructions burned: 23 (million) 6.51/1.27 % (30481)------------------------------ 6.51/1.27 % (30481)------------------------------ 6.51/1.27 % (30482)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2991ds/90Mi) 6.51/1.28 % (30483)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on theBenchmark for (2991ds/164Mi) 6.51/1.28 % (30479)Instruction limit reached! 6.51/1.28 % (30479)------------------------------ 6.51/1.28 % (30479)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.51/1.28 % (30479)Termination reason: Unknown 6.51/1.28 % (30479)Termination phase: Saturation 6.51/1.28 6.51/1.28 % (30479)Memory used [KB]: 6140 6.51/1.28 % (30479)Time elapsed: 0.028 s 6.51/1.28 % (30479)Instructions burned: 104 (million) 6.51/1.28 % (30479)------------------------------ 6.51/1.28 % (30479)------------------------------ 6.51/1.29 % (30484)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=392:si=on:rtra=on_0 on theBenchmark for (2990ds/392Mi) 6.51/1.29 % (30485)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on theBenchmark for (2990ds/279Mi) 6.51/1.29 % (30483)Refutation not found, incomplete strategy 6.51/1.29 % (30483)------------------------------ 6.51/1.29 % (30483)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.51/1.29 % (30483)Termination reason: Refutation not found, incomplete strategy 6.51/1.29 6.51/1.29 6.51/1.29 % (30483)Memory used [KB]: 1279 6.51/1.29 % (30483)Time elapsed: 0.011 s 6.51/1.29 % (30483)Instructions burned: 21 (million) 6.51/1.29 % (30483)------------------------------ 6.51/1.29 % (30483)------------------------------ 6.51/1.29 % (30478)Instruction limit reached! 6.51/1.29 % (30478)------------------------------ 6.51/1.29 % (30478)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.51/1.29 % (30478)Termination reason: Unknown 6.51/1.29 % (30478)Termination phase: Saturation 6.51/1.29 6.51/1.29 % (30478)Memory used [KB]: 6012 6.51/1.29 % (30478)Time elapsed: 0.069 s 6.51/1.29 % (30478)Instructions burned: 148 (million) 6.51/1.29 % (30478)------------------------------ 6.51/1.29 % (30478)------------------------------ 6.51/1.30 % (30486)lrs+1010_1:128_au=on:av=off:bd=preordered:bs=on:chr=on:cnfonf=lazy_not_gen:ntd=on:piset=and:i=59:si=on:rtra=on_0 on theBenchmark for (2990ds/59Mi) 6.51/1.30 % (30477)Instruction limit reached! 6.51/1.30 % (30477)------------------------------ 6.51/1.30 % (30477)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.51/1.30 % (30477)Termination reason: Unknown 6.51/1.30 % (30477)Termination phase: Saturation 6.51/1.30 6.51/1.30 % (30477)Memory used [KB]: 6524 6.51/1.30 % (30477)Time elapsed: 0.093 s 6.51/1.30 % (30477)Instructions burned: 203 (million) 6.51/1.30 % (30477)------------------------------ 6.51/1.30 % (30477)------------------------------ 6.51/1.31 % (30487)lrs+10_1:1_au=on:sd=1:sgt=32:sos=on:ss=axioms:i=141:si=on:rtra=on_0 on theBenchmark for (2990ds/141Mi) 6.51/1.32 % (30488)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=389:si=on:rtra=on_0 on theBenchmark for (2990ds/389Mi) 6.90/1.32 % (30482)Instruction limit reached! 6.90/1.32 % (30482)------------------------------ 6.90/1.32 % (30482)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.90/1.32 % (30482)Termination reason: Unknown 6.90/1.32 % (30482)Termination phase: Saturation 6.90/1.32 6.90/1.32 % (30482)Memory used [KB]: 6268 6.90/1.32 % (30482)Time elapsed: 0.049 s 6.90/1.32 % (30482)Instructions burned: 90 (million) 6.90/1.32 % (30482)------------------------------ 6.90/1.32 % (30482)------------------------------ 6.90/1.33 % (30486)Instruction limit reached! 6.90/1.33 % (30486)------------------------------ 6.90/1.33 % (30486)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.90/1.33 % (30486)Termination reason: Unknown 6.90/1.33 % (30486)Termination phase: Saturation 6.90/1.33 6.90/1.33 % (30486)Memory used [KB]: 1407 6.90/1.33 % (30486)Time elapsed: 0.026 s 6.90/1.33 % (30486)Instructions burned: 59 (million) 6.90/1.33 % (30486)------------------------------ 6.90/1.33 % (30486)------------------------------ 6.90/1.34 % (30489)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on theBenchmark for (2990ds/593Mi) 6.90/1.34 % (30490)ott+1010_1:20_cnfonf=lazy_pi_sigma_gen:fe=axiom:plsq=on:plsqc=2:plsqr=32,1:sac=on:sos=all:i=4759:si=on:rtra=on_0 on theBenchmark for (2990ds/4759Mi) 6.90/1.35 % (30472)Instruction limit reached! 6.90/1.35 % (30472)------------------------------ 6.90/1.35 % (30472)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.90/1.35 % (30472)Termination reason: Unknown 6.90/1.35 % (30472)Termination phase: Saturation 6.90/1.35 6.90/1.35 % (30472)Memory used [KB]: 7164 6.90/1.35 % (30472)Time elapsed: 0.207 s 6.90/1.35 % (30472)Instructions burned: 423 (million) 6.90/1.35 % (30472)------------------------------ 6.90/1.35 % (30472)------------------------------ 7.22/1.37 % (30491)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on theBenchmark for (2990ds/906Mi) 7.22/1.37 % (30485)Instruction limit reached! 7.22/1.37 % (30485)------------------------------ 7.22/1.37 % (30485)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.22/1.37 % (30485)Termination reason: Unknown 7.22/1.37 % (30485)Termination phase: Saturation 7.22/1.37 7.22/1.37 % (30485)Memory used [KB]: 6140 7.22/1.37 % (30485)Time elapsed: 0.082 s 7.22/1.37 % (30485)Instructions burned: 279 (million) 7.22/1.37 % (30485)------------------------------ 7.22/1.37 % (30485)------------------------------ 7.22/1.37 % (30487)Instruction limit reached! 7.22/1.37 % (30487)------------------------------ 7.22/1.37 % (30487)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.22/1.37 % (30487)Termination reason: Unknown 7.22/1.37 % (30487)Termination phase: Saturation 7.22/1.37 7.22/1.37 % (30487)Memory used [KB]: 6268 7.22/1.37 % (30487)Time elapsed: 0.062 s 7.22/1.37 % (30487)Instructions burned: 141 (million) 7.22/1.37 % (30487)------------------------------ 7.22/1.37 % (30487)------------------------------ 7.22/1.38 % (30492)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on theBenchmark for (2990ds/668Mi) 7.22/1.39 % (30493)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on theBenchmark for (2990ds/1670Mi) 7.22/1.42 % (30490)Refutation not found, incomplete strategy 7.22/1.42 % (30490)------------------------------ 7.22/1.42 % (30490)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.22/1.42 % (30490)Termination reason: Refutation not found, incomplete strategy 7.22/1.42 7.22/1.42 7.22/1.42 % (30490)Memory used [KB]: 6012 7.22/1.42 % (30490)Time elapsed: 0.079 s 7.22/1.42 % (30490)Instructions burned: 171 (million) 7.22/1.42 % (30490)------------------------------ 7.22/1.42 % (30490)------------------------------ 7.22/1.43 % (30494)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on theBenchmark for (2989ds/794Mi) 7.46/1.48 % (30484)Instruction limit reached! 7.46/1.48 % (30484)------------------------------ 7.46/1.48 % (30484)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.46/1.48 % (30484)Termination reason: Unknown 7.46/1.48 % (30484)Termination phase: Saturation 7.46/1.48 7.46/1.48 % (30484)Memory used [KB]: 6780 7.46/1.48 % (30484)Time elapsed: 0.190 s 7.46/1.48 % (30484)Instructions burned: 393 (million) 7.46/1.48 % (30484)------------------------------ 7.46/1.48 % (30484)------------------------------ 7.46/1.50 % (30488)Instruction limit reached! 7.46/1.50 % (30488)------------------------------ 7.46/1.50 % (30488)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.46/1.50 % (30488)Termination reason: Unknown 7.46/1.50 % (30488)Termination phase: Saturation 7.46/1.50 7.46/1.50 % (30488)Memory used [KB]: 7291 7.46/1.50 % (30488)Time elapsed: 0.179 s 7.46/1.50 % (30488)Instructions burned: 389 (million) 7.46/1.50 % (30488)------------------------------ 7.46/1.50 % (30488)------------------------------ 7.46/1.50 % (30495)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on theBenchmark for (2988ds/294Mi) 7.46/1.51 % (30497)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=970:si=on:rtra=on_0 on theBenchmark for (2988ds/970Mi) 7.86/1.57 % (30471)Instruction limit reached! 7.86/1.57 % (30471)------------------------------ 7.86/1.57 % (30471)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.86/1.57 % (30471)Termination reason: Unknown 7.86/1.57 % (30471)Termination phase: Saturation 7.86/1.57 7.86/1.57 % (30471)Memory used [KB]: 7931 7.86/1.57 % (30471)Time elapsed: 0.447 s 7.86/1.57 % (30471)Instructions burned: 940 (million) 7.86/1.57 % (30471)------------------------------ 7.86/1.57 % (30471)------------------------------ 7.86/1.58 % (30498)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=383:si=on:rtra=on_0 on theBenchmark for (2988ds/383Mi) 7.86/1.62 % (30489)Instruction limit reached! 7.86/1.62 % (30489)------------------------------ 7.86/1.62 % (30489)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.86/1.62 % (30489)Termination reason: Unknown 7.86/1.62 % (30489)Termination phase: Saturation 7.86/1.62 7.86/1.62 % (30489)Memory used [KB]: 8955 7.86/1.62 % (30489)Time elapsed: 0.286 s 7.86/1.62 % (30489)Instructions burned: 593 (million) 7.86/1.62 % (30489)------------------------------ 7.86/1.62 % (30489)------------------------------ 7.86/1.64 % (30492)Instruction limit reached! 7.86/1.64 % (30492)------------------------------ 7.86/1.64 % (30492)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.86/1.64 % (30492)Termination reason: Unknown 7.86/1.64 % (30492)Termination phase: Saturation 7.86/1.64 7.86/1.64 % (30492)Memory used [KB]: 11001 7.86/1.64 % (30492)Time elapsed: 0.263 s 7.86/1.64 % (30492)Instructions burned: 669 (million) 7.86/1.64 % (30492)------------------------------ 7.86/1.64 % (30492)------------------------------ 7.86/1.64 % (30499)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on theBenchmark for (2987ds/961Mi) 9.82/1.64 % (30495)Instruction limit reached! 9.82/1.64 % (30495)------------------------------ 9.82/1.64 % (30495)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 9.82/1.64 % (30495)Termination reason: Unknown 9.82/1.64 % (30495)Termination phase: Saturation 9.82/1.64 9.82/1.64 % (30495)Memory used [KB]: 6140 9.82/1.64 % (30495)Time elapsed: 0.176 s 9.82/1.64 % (30495)Instructions burned: 296 (million) 9.82/1.64 % (30495)------------------------------ 9.82/1.64 % (30495)------------------------------ 9.82/1.65 % (30501)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=1398:si=on:rtra=on_0 on theBenchmark for (2987ds/1398Mi) 9.82/1.65 % (30500)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=1083:si=on:rtra=on_0 on theBenchmark for (2987ds/1083Mi) 9.82/1.66 % (30501)Refutation not found, incomplete strategy 9.82/1.66 % (30501)------------------------------ 9.82/1.66 % (30501)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 9.82/1.66 % (30501)Termination reason: Refutation not found, incomplete strategy 9.82/1.66 9.82/1.66 9.82/1.66 % (30501)Memory used [KB]: 5628 9.82/1.66 % (30501)Time elapsed: 0.005 s 9.82/1.66 % (30501)Instructions burned: 12 (million) 9.82/1.66 % (30501)------------------------------ 9.82/1.66 % (30501)------------------------------ 9.82/1.66 % (30502)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on theBenchmark for (2986ds/562Mi) 10.63/1.77 % (30498)Instruction limit reached! 10.63/1.77 % (30498)------------------------------ 10.63/1.77 % (30498)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 10.63/1.77 % (30498)Termination reason: Unknown 10.63/1.77 % (30498)Termination phase: Saturation 10.63/1.77 10.63/1.77 % (30498)Memory used [KB]: 7419 10.63/1.77 % (30498)Time elapsed: 0.214 s 10.63/1.77 % (30498)Instructions burned: 383 (million) 10.63/1.77 % (30498)------------------------------ 10.63/1.77 % (30498)------------------------------ 10.63/1.79 % (30503)lrs+1010_1:2_au=on:e2e=on:sd=3:ss=axioms:st=3.0:i=1208:si=on:rtra=on_0 on theBenchmark for (2985ds/1208Mi) 10.63/1.79 % (30491)Instruction limit reached! 10.63/1.79 % (30491)------------------------------ 10.63/1.79 % (30491)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 10.63/1.79 % (30491)Termination reason: Unknown 10.63/1.79 % (30491)Termination phase: Saturation 10.63/1.79 10.63/1.79 % (30491)Memory used [KB]: 10490 10.63/1.79 % (30491)Time elapsed: 0.445 s 10.63/1.79 % (30491)Instructions burned: 907 (million) 10.63/1.79 % (30491)------------------------------ 10.63/1.79 % (30491)------------------------------ 10.63/1.80 % (30494)Instruction limit reached! 10.63/1.80 % (30494)------------------------------ 10.63/1.80 % (30494)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 10.63/1.80 % (30494)Termination reason: Unknown 10.63/1.80 % (30494)Termination phase: Saturation 10.63/1.80 10.63/1.80 % (30494)Memory used [KB]: 3326 10.63/1.80 % (30494)Time elapsed: 0.386 s 10.63/1.80 % (30494)Instructions burned: 794 (million) 10.63/1.80 % (30494)------------------------------ 10.63/1.80 % (30494)------------------------------ 10.63/1.80 % (30504)lrs+1010_1:7_bd=off:cnfonf=lazy_not_be_gen:fe=off:hud=10:tnu=1:i=348:si=on:rtra=on_0 on theBenchmark for (2985ds/348Mi) 10.63/1.81 % (30505)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2985ds/343Mi) 10.93/1.84 % (30502)Instruction limit reached! 10.93/1.84 % (30502)------------------------------ 10.93/1.84 % (30502)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 10.93/1.84 % (30502)Termination reason: Unknown 10.93/1.84 % (30502)Termination phase: Saturation 10.93/1.84 10.93/1.84 % (30502)Memory used [KB]: 6780 10.93/1.84 % (30502)Time elapsed: 0.176 s 10.93/1.84 % (30502)Instructions burned: 562 (million) 10.93/1.84 % (30502)------------------------------ 10.93/1.84 % (30502)------------------------------ 10.93/1.85 % (30506)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1655:si=on:rtra=on_0 on theBenchmark for (2985ds/1655Mi) 10.93/1.85 % (30506)Refutation not found, incomplete strategy 10.93/1.85 % (30506)------------------------------ 10.93/1.85 % (30506)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 10.93/1.85 % (30506)Termination reason: Refutation not found, incomplete strategy 10.93/1.85 10.93/1.85 10.93/1.85 % (30506)Memory used [KB]: 5628 10.93/1.85 % (30506)Time elapsed: 0.005 s 10.93/1.85 % (30506)Instructions burned: 14 (million) 10.93/1.85 % (30506)------------------------------ 10.93/1.85 % (30506)------------------------------ 10.93/1.86 % (30507)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on theBenchmark for (2985ds/6454Mi) 11.36/1.95 % (30497)Instruction limit reached! 11.36/1.95 % (30497)------------------------------ 11.36/1.95 % (30497)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 11.36/1.95 % (30497)Termination reason: Unknown 11.36/1.95 % (30497)Termination phase: Saturation 11.36/1.95 11.36/1.95 % (30497)Memory used [KB]: 6908 11.36/1.95 % (30497)Time elapsed: 0.462 s 11.36/1.95 % (30497)Instructions burned: 971 (million) 11.36/1.95 % (30497)------------------------------ 11.36/1.95 % (30497)------------------------------ 11.36/1.96 % (30505)Instruction limit reached! 11.36/1.96 % (30505)------------------------------ 11.36/1.96 % (30505)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 11.36/1.96 % (30505)Termination reason: Unknown 11.36/1.96 % (30505)Termination phase: Saturation 11.36/1.96 11.36/1.96 % (30505)Memory used [KB]: 7419 11.36/1.96 % (30505)Time elapsed: 0.153 s 11.36/1.96 % (30505)Instructions burned: 343 (million) 11.36/1.96 % (30505)------------------------------ 11.36/1.96 % (30505)------------------------------ 11.36/1.96 % (30504)Instruction limit reached! 11.36/1.96 % (30504)------------------------------ 11.36/1.96 % (30504)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 11.36/1.96 % (30504)Termination reason: Unknown 11.36/1.96 % (30504)Termination phase: Saturation 11.36/1.96 11.36/1.96 % (30504)Memory used [KB]: 7164 11.36/1.96 % (30504)Time elapsed: 0.162 s 11.36/1.96 % (30504)Instructions burned: 349 (million) 11.36/1.96 % (30504)------------------------------ 11.36/1.96 % (30504)------------------------------ 11.36/1.97 % (30508)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on theBenchmark for (2984ds/1539Mi) 11.36/1.98 % (30509)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on theBenchmark for (2983ds/501Mi) 11.36/1.98 % (30510)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=277:si=on:rtra=on_0 on theBenchmark for (2983ds/277Mi) 11.86/1.99 % (30509)Refutation not found, incomplete strategy 11.86/1.99 % (30509)------------------------------ 11.86/1.99 % (30509)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 11.86/1.99 % (30509)Termination reason: Refutation not found, incomplete strategy 11.86/1.99 11.86/1.99 11.86/1.99 % (30509)Memory used [KB]: 5756 11.86/1.99 % (30509)Time elapsed: 0.013 s 11.86/1.99 % (30509)Instructions burned: 28 (million) 11.86/1.99 % (30509)------------------------------ 11.86/1.99 % (30509)------------------------------ 11.86/2.01 % (30511)lrs+21_1:1_cha=on:cnfonf=off:hud=10:kws=inv_frequency:lcm=predicate:sgt=32:sos=on:sp=occurrence:ss=axioms:i=136:si=on:rtra=on_0 on theBenchmark for (2983ds/136Mi) 12.07/2.07 % (30511)Instruction limit reached! 12.07/2.07 % (30511)------------------------------ 12.07/2.07 % (30511)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 12.07/2.07 % (30511)Termination reason: Unknown 12.07/2.07 % (30511)Termination phase: Saturation 12.07/2.07 12.07/2.07 % (30511)Memory used [KB]: 6268 12.07/2.07 % (30511)Time elapsed: 0.082 s 12.07/2.07 % (30511)Instructions burned: 137 (million) 12.07/2.07 % (30511)------------------------------ 12.07/2.07 % (30511)------------------------------ 12.07/2.08 % (30512)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on theBenchmark for (2982ds/401Mi) 12.07/2.10 % (30510)Instruction limit reached! 12.07/2.10 % (30510)------------------------------ 12.07/2.10 % (30510)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 12.07/2.10 % (30510)Termination reason: Unknown 12.07/2.10 % (30510)Termination phase: Saturation 12.07/2.10 12.07/2.10 % (30510)Memory used [KB]: 7164 12.07/2.10 % (30510)Time elapsed: 0.125 s 12.07/2.10 % (30510)Instructions burned: 277 (million) 12.07/2.10 % (30510)------------------------------ 12.07/2.10 % (30510)------------------------------ 12.07/2.10 % (30499)Instruction limit reached! 12.07/2.10 % (30499)------------------------------ 12.07/2.10 % (30499)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 12.07/2.10 % (30499)Termination reason: Unknown 12.07/2.10 % (30499)Termination phase: Saturation 12.07/2.10 12.07/2.10 % (30499)Memory used [KB]: 9466 12.07/2.10 % (30499)Time elapsed: 0.489 s 12.07/2.10 % (30499)Instructions burned: 962 (million) 12.07/2.10 % (30499)------------------------------ 12.07/2.10 % (30499)------------------------------ 12.07/2.11 % (30500)Instruction limit reached! 12.07/2.11 % (30500)------------------------------ 12.07/2.11 % (30500)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 12.07/2.11 % (30500)Termination reason: Unknown 12.07/2.11 % (30500)Termination phase: Saturation 12.07/2.11 12.07/2.11 % (30500)Memory used [KB]: 10490 12.07/2.11 % (30500)Time elapsed: 0.480 s 12.07/2.11 % (30500)Instructions burned: 1085 (million) 12.07/2.11 % (30500)------------------------------ 12.07/2.11 % (30500)------------------------------ 12.78/2.12 % (30513)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=4810:si=on:rtra=on_0 on theBenchmark for (2982ds/4810Mi) 12.78/2.12 % (30514)lrs+1002_1:128_atotf=0.1:au=on:cbe=off:ntd=on:sp=const_frequency:i=2020:si=on:rtra=on_0 on theBenchmark for (2982ds/2020Mi) 12.78/2.13 % (30515)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=375:si=on:rtra=on_0 on theBenchmark for (2982ds/375Mi) 12.78/2.14 % (30493)Instruction limit reached! 12.78/2.14 % (30493)------------------------------ 12.78/2.14 % (30493)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 12.78/2.14 % (30493)Termination reason: Unknown 12.78/2.14 % (30493)Termination phase: Saturation 12.78/2.14 12.78/2.14 % (30493)Memory used [KB]: 7419 12.78/2.14 % (30493)Time elapsed: 0.775 s 12.78/2.14 % (30493)Instructions burned: 1670 (million) 12.78/2.14 % (30493)------------------------------ 12.78/2.14 % (30493)------------------------------ 12.78/2.15 % (30516)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on theBenchmark for (2982ds/8250Mi) 14.53/2.25 % (30515)Instruction limit reached! 14.53/2.25 % (30515)------------------------------ 14.53/2.25 % (30515)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 14.53/2.25 % (30515)Termination reason: Unknown 14.53/2.25 % (30515)Termination phase: Saturation 14.53/2.25 14.53/2.25 % (30515)Memory used [KB]: 6780 14.53/2.25 % (30515)Time elapsed: 0.147 s 14.53/2.25 % (30515)Instructions burned: 376 (million) 14.53/2.25 % (30515)------------------------------ 14.53/2.25 % (30515)------------------------------ 14.53/2.26 % (30517)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on theBenchmark for (2981ds/187Mi) 14.53/2.26 % (30512)Instruction limit reached! 14.53/2.26 % (30512)------------------------------ 14.53/2.26 % (30512)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 14.53/2.26 % (30512)Termination reason: Unknown 14.53/2.26 % (30512)Termination phase: Saturation 14.53/2.26 14.53/2.26 % (30512)Memory used [KB]: 6908 14.53/2.26 % (30512)Time elapsed: 0.181 s 14.53/2.26 % (30512)Instructions burned: 402 (million) 14.53/2.26 % (30512)------------------------------ 14.53/2.26 % (30512)------------------------------ 14.53/2.28 % (30518)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on theBenchmark for (2981ds/393Mi) 14.92/2.31 % (30517)Instruction limit reached! 14.92/2.31 % (30517)------------------------------ 14.92/2.31 % (30517)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 14.92/2.31 % (30517)Termination reason: Unknown 14.92/2.31 % (30517)Termination phase: Saturation 14.92/2.31 14.92/2.31 % (30517)Memory used [KB]: 6524 14.92/2.31 % (30517)Time elapsed: 0.052 s 14.92/2.31 % (30517)Instructions burned: 189 (million) 14.92/2.31 % (30517)------------------------------ 14.92/2.31 % (30517)------------------------------ 14.92/2.32 % (30519)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on theBenchmark for (2980ds/371Mi) 14.92/2.34 % (30503)Instruction limit reached! 14.92/2.34 % (30503)------------------------------ 14.92/2.34 % (30503)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 14.92/2.34 % (30503)Termination reason: Unknown 14.92/2.34 % (30503)Termination phase: Saturation 14.92/2.34 14.92/2.34 % (30503)Memory used [KB]: 9466 14.92/2.34 % (30503)Time elapsed: 0.559 s 14.92/2.34 % (30503)Instructions burned: 1210 (million) 14.92/2.34 % (30503)------------------------------ 14.92/2.34 % (30503)------------------------------ 15.29/2.37 % (30520)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on theBenchmark for (2980ds/434Mi) 15.29/2.43 % (30519)Instruction limit reached! 15.29/2.43 % (30519)------------------------------ 15.29/2.43 % (30519)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 15.29/2.43 % (30519)Termination reason: Unknown 15.29/2.43 % (30519)Termination phase: Saturation 15.29/2.43 15.29/2.43 % (30519)Memory used [KB]: 7547 15.29/2.43 % (30519)Time elapsed: 0.113 s 15.29/2.43 % (30519)Instructions burned: 371 (million) 15.29/2.43 % (30519)------------------------------ 15.29/2.43 % (30519)------------------------------ 15.29/2.44 % (30521)lrs+10_1:8_av=off:fe=off:hud=5:piset=or:prag=on:i=452:si=on:rtra=on_0 on theBenchmark for (2979ds/452Mi) 15.89/2.47 % (30518)Instruction limit reached! 15.89/2.47 % (30518)------------------------------ 15.89/2.47 % (30518)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 15.89/2.47 % (30518)Termination reason: Unknown 15.89/2.47 % (30518)Termination phase: Saturation 15.89/2.47 15.89/2.47 % (30518)Memory used [KB]: 6780 15.89/2.47 % (30518)Time elapsed: 0.192 s 15.89/2.47 % (30518)Instructions burned: 393 (million) 15.89/2.47 % (30518)------------------------------ 15.89/2.47 % (30518)------------------------------ 15.89/2.48 % (30522)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on theBenchmark for (2978ds/5411Mi) 15.89/2.49 % (30522)Refutation not found, incomplete strategy 15.89/2.49 % (30522)------------------------------ 15.89/2.49 % (30522)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 15.89/2.49 % (30522)Termination reason: Refutation not found, incomplete strategy 15.89/2.49 15.89/2.49 15.89/2.49 % (30522)Memory used [KB]: 5628 15.89/2.49 % (30522)Time elapsed: 0.008 s 15.89/2.49 % (30522)Instructions burned: 13 (million) 15.89/2.49 % (30522)------------------------------ 15.89/2.49 % (30522)------------------------------ 16.32/2.50 % (30523)dis+1010_1:1_cnfonf=conj_eager:e2e=on:fe=axiom:fsr=off:ntd=on:nwc=10.0:s2a=on:sgt=5:sp=occurrence:ss=axioms:i=1110:si=on:rtra=on_0 on theBenchmark for (2978ds/1110Mi) 16.57/2.58 % (30520)Instruction limit reached! 16.57/2.58 % (30520)------------------------------ 16.57/2.58 % (30520)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 16.57/2.58 % (30520)Termination reason: Unknown 16.57/2.58 % (30520)Termination phase: Saturation 16.57/2.58 16.57/2.58 % (30520)Memory used [KB]: 6268 16.57/2.58 % (30520)Time elapsed: 0.230 s 16.57/2.58 % (30520)Instructions burned: 434 (million) 16.57/2.58 % (30520)------------------------------ 16.57/2.58 % (30520)------------------------------ 16.57/2.59 % (30524)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on theBenchmark for (2977ds/590Mi) 17.10/2.63 % (30521)Instruction limit reached! 17.10/2.63 % (30521)------------------------------ 17.10/2.63 % (30521)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 17.10/2.63 % (30521)Termination reason: Unknown 17.10/2.63 % (30521)Termination phase: Saturation 17.10/2.63 17.10/2.63 % (30521)Memory used [KB]: 2814 17.10/2.63 % (30521)Time elapsed: 0.193 s 17.10/2.63 % (30521)Instructions burned: 453 (million) 17.10/2.63 % (30521)------------------------------ 17.10/2.63 % (30521)------------------------------ 17.10/2.64 % (30525)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on theBenchmark for (2977ds/432Mi) 17.10/2.65 % (30508)Instruction limit reached! 17.10/2.65 % (30508)------------------------------ 17.10/2.65 % (30508)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 17.10/2.65 % (30508)Termination reason: Unknown 17.10/2.65 % (30508)Termination phase: Saturation 17.10/2.65 17.10/2.65 % (30508)Memory used [KB]: 9338 17.10/2.65 % (30508)Time elapsed: 0.697 s 17.10/2.65 % (30508)Instructions burned: 1539 (million) 17.10/2.65 % (30508)------------------------------ 17.10/2.65 % (30508)------------------------------ 17.56/2.66 % (30526)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=2517:si=on:rtra=on_0 on theBenchmark for (2977ds/2517Mi) 17.56/2.74 % (30525)Refutation not found, incomplete strategy 17.56/2.74 % (30525)------------------------------ 17.56/2.74 % (30525)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 17.56/2.74 % (30525)Termination reason: Refutation not found, incomplete strategy 17.56/2.74 17.56/2.74 17.56/2.74 % (30525)Memory used [KB]: 6652 17.56/2.74 % (30525)Time elapsed: 0.100 s 17.56/2.74 % (30525)Instructions burned: 201 (million) 17.56/2.74 % (30525)------------------------------ 17.56/2.74 % (30525)------------------------------ 18.06/2.76 % (30527)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on theBenchmark for (2976ds/783Mi) 19.07/2.82 % (30524)Instruction limit reached! 19.07/2.82 % (30524)------------------------------ 19.07/2.82 % (30524)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 19.07/2.82 % (30524)Termination reason: Unknown 19.07/2.82 % (30524)Termination phase: Saturation 19.07/2.82 19.07/2.82 % (30524)Memory used [KB]: 7803 19.07/2.82 % (30524)Time elapsed: 0.232 s 19.07/2.82 % (30524)Instructions burned: 591 (million) 19.07/2.82 % (30524)------------------------------ 19.07/2.82 % (30524)------------------------------ 19.07/2.85 % (30528)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on theBenchmark for (2975ds/481Mi) 19.87/2.98 % (30523)Instruction limit reached! 19.87/2.98 % (30523)------------------------------ 19.87/2.98 % (30523)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 19.87/2.98 % (30523)Termination reason: Unknown 19.87/2.98 % (30523)Termination phase: Saturation 19.87/2.98 19.87/2.98 % (30523)Memory used [KB]: 8571 19.87/2.98 % (30523)Time elapsed: 0.481 s 19.87/2.98 % (30523)Instructions burned: 1112 (million) 19.87/2.98 % (30523)------------------------------ 19.87/2.98 % (30523)------------------------------ 19.87/2.99 % (30529)lrs+1010_1:64_aac=none:acc=on:au=on:c=on:cbe=off:ccuc=small_ones:chr=on:cnfonf=lazy_not_gen:fde=unused:hud=10:kws=precedence:nicw=on:piset=all_but_not_eq:sd=2:sp=reverse_arity:ss=axioms:i=536:si=on:rtra=on_0 on theBenchmark for (2973ds/536Mi) 19.87/3.02 % (30529)Refutation not found, incomplete strategy 19.87/3.02 % (30529)------------------------------ 19.87/3.02 % (30529)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 19.87/3.02 % (30529)Termination reason: Refutation not found, incomplete strategy 19.87/3.02 19.87/3.02 19.87/3.02 % (30529)Memory used [KB]: 6012 19.87/3.02 % (30529)Time elapsed: 0.031 s 19.87/3.02 % (30529)Instructions burned: 52 (million) 19.87/3.02 % (30529)------------------------------ 19.87/3.02 % (30529)------------------------------ 20.53/3.04 % (30530)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on theBenchmark for (2973ds/157Mi) 20.53/3.05 % (30527)Instruction limit reached! 20.53/3.05 % (30527)------------------------------ 20.53/3.05 % (30527)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 20.53/3.05 % (30527)Termination reason: Unknown 20.53/3.05 % (30527)Termination phase: Saturation 20.53/3.05 20.53/3.05 % (30527)Memory used [KB]: 7547 20.53/3.05 % (30527)Time elapsed: 0.310 s 20.53/3.05 % (30527)Instructions burned: 786 (million) 20.53/3.05 % (30527)------------------------------ 20.53/3.05 % (30527)------------------------------ 20.53/3.06 % (30531)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on theBenchmark for (2973ds/4350Mi) 20.53/3.08 % (30528)Instruction limit reached! 20.53/3.08 % (30528)------------------------------ 20.53/3.08 % (30528)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 20.53/3.08 % (30528)Termination reason: Unknown 20.53/3.08 % (30528)Termination phase: Saturation 20.53/3.08 20.53/3.08 % (30528)Memory used [KB]: 6652 20.53/3.08 % (30528)Time elapsed: 0.234 s 20.53/3.08 % (30528)Instructions burned: 482 (million) 20.53/3.08 % (30528)------------------------------ 20.53/3.08 % (30528)------------------------------ 20.53/3.09 % (30514)Instruction limit reached! 20.53/3.09 % (30514)------------------------------ 20.53/3.09 % (30514)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 20.53/3.09 % (30514)Termination reason: Unknown 20.53/3.09 % (30514)Termination phase: Saturation 20.53/3.09 20.53/3.09 % (30514)Memory used [KB]: 8699 20.53/3.09 % (30514)Time elapsed: 0.973 s 20.53/3.09 % (30514)Instructions burned: 2020 (million) 20.53/3.09 % (30514)------------------------------ 20.53/3.09 % (30514)------------------------------ 21.17/3.10 % (30533)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=700:si=on:rtra=on_0 on theBenchmark for (2972ds/700Mi) 21.17/3.11 % (30532)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on theBenchmark for (2972ds/358Mi) 21.17/3.11 % (30530)Instruction limit reached! 21.17/3.11 % (30530)------------------------------ 21.17/3.11 % (30530)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 21.17/3.11 % (30530)Termination reason: Unknown 21.17/3.11 % (30530)Termination phase: Saturation 21.17/3.11 21.17/3.11 % (30530)Memory used [KB]: 6140 21.17/3.11 % (30530)Time elapsed: 0.076 s 21.17/3.11 % (30530)Instructions burned: 157 (million) 21.17/3.11 % (30530)------------------------------ 21.17/3.11 % (30530)------------------------------ 21.17/3.12 % (30533)Refutation not found, incomplete strategy 21.17/3.12 % (30533)------------------------------ 21.17/3.12 % (30533)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 21.17/3.12 % (30533)Termination reason: Refutation not found, incomplete strategy 21.17/3.12 21.17/3.12 21.17/3.12 % (30533)Memory used [KB]: 5756 21.17/3.12 % (30533)Time elapsed: 0.015 s 21.17/3.12 % (30533)Instructions burned: 31 (million) 21.17/3.12 % (30533)------------------------------ 21.17/3.12 % (30533)------------------------------ 21.17/3.13 % (30534)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on theBenchmark for (2972ds/406Mi) 21.17/3.13 % (30535)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on theBenchmark for (2972ds/283Mi) 21.71/3.21 % (30532)Instruction limit reached! 21.71/3.21 % (30532)------------------------------ 21.71/3.21 % (30532)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 21.71/3.21 % (30532)Termination reason: Unknown 21.71/3.21 % (30532)Termination phase: Saturation 21.71/3.21 21.71/3.21 % (30532)Memory used [KB]: 6908 21.71/3.21 % (30532)Time elapsed: 0.128 s 21.71/3.21 % (30532)Instructions burned: 359 (million) 21.71/3.21 % (30532)------------------------------ 21.71/3.21 % (30532)------------------------------ 21.71/3.22 % (30536)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=641:si=on:rtra=on_0 on theBenchmark for (2971ds/641Mi) 21.94/3.26 % (30535)Instruction limit reached! 21.94/3.26 % (30535)------------------------------ 21.94/3.26 % (30535)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 21.94/3.26 % (30535)Termination reason: Unknown 21.94/3.26 % (30535)Termination phase: Saturation 21.94/3.26 21.94/3.26 % (30535)Memory used [KB]: 7547 21.94/3.26 % (30535)Time elapsed: 0.127 s 21.94/3.26 % (30535)Instructions burned: 283 (million) 21.94/3.26 % (30535)------------------------------ 21.94/3.26 % (30535)------------------------------ 21.94/3.28 % (30537)lrs+1010_1:1_cbe=off:chr=on:er=known:hud=4:i=147:si=on:rtra=on_0 on theBenchmark for (2970ds/147Mi) 21.94/3.32 % (30537)Instruction limit reached! 21.94/3.32 % (30537)------------------------------ 21.94/3.32 % (30537)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 21.94/3.32 % (30537)Termination reason: Unknown 21.94/3.32 % (30537)Termination phase: Saturation 21.94/3.32 21.94/3.32 % (30537)Memory used [KB]: 6268 21.94/3.32 % (30537)Time elapsed: 0.040 s 21.94/3.32 % (30537)Instructions burned: 148 (million) 21.94/3.32 % (30537)------------------------------ 21.94/3.32 % (30537)------------------------------ 21.94/3.33 % (30534)Instruction limit reached! 21.94/3.33 % (30534)------------------------------ 21.94/3.33 % (30534)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 21.94/3.33 % (30534)Termination reason: Unknown 21.94/3.33 % (30534)Termination phase: Saturation 21.94/3.33 21.94/3.33 % (30534)Memory used [KB]: 6780 21.94/3.33 % (30534)Time elapsed: 0.205 s 21.94/3.33 % (30534)Instructions burned: 407 (million) 21.94/3.33 % (30534)------------------------------ 21.94/3.33 % (30534)------------------------------ 23.14/3.34 % (30538)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on theBenchmark for (2970ds/932Mi) 23.14/3.34 % (30539)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on theBenchmark for (2970ds/2401Mi) 24.11/3.51 % (30536)Instruction limit reached! 24.11/3.51 % (30536)------------------------------ 24.11/3.51 % (30536)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 24.11/3.51 % (30536)Termination reason: Unknown 24.11/3.51 % (30536)Termination phase: Saturation 24.11/3.51 24.11/3.51 % (30536)Memory used [KB]: 8955 24.11/3.52 % (30536)Time elapsed: 0.283 s 24.11/3.52 % (30536)Instructions burned: 642 (million) 24.11/3.52 % (30536)------------------------------ 24.11/3.52 % (30536)------------------------------ 24.11/3.54 % (30540)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=576:si=on:rtra=on_0 on theBenchmark for (2968ds/576Mi) 25.05/3.63 % (30538)Instruction limit reached! 25.05/3.63 % (30538)------------------------------ 25.05/3.63 % (30538)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 25.05/3.63 % (30538)Termination reason: Unknown 25.05/3.63 % (30538)Termination phase: Saturation 25.05/3.63 25.05/3.63 % (30538)Memory used [KB]: 9210 25.05/3.63 % (30538)Time elapsed: 0.296 s 25.05/3.63 % (30538)Instructions burned: 932 (million) 25.05/3.63 % (30538)------------------------------ 25.05/3.63 % (30538)------------------------------ 25.05/3.64 % (30541)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on theBenchmark for (2967ds/715Mi) 25.84/3.79 % (30540)Instruction limit reached! 25.84/3.79 % (30540)------------------------------ 25.84/3.79 % (30540)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 25.84/3.79 % (30540)Termination reason: Unknown 25.84/3.79 % (30540)Termination phase: Saturation 25.84/3.79 25.84/3.79 % (30540)Memory used [KB]: 8699 25.84/3.79 % (30540)Time elapsed: 0.272 s 25.84/3.79 % (30540)Instructions burned: 577 (million) 25.84/3.79 % (30540)------------------------------ 25.84/3.79 % (30540)------------------------------ 25.84/3.81 % (30542)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on theBenchmark for (2965ds/1762Mi) 25.84/3.83 % (30526)Instruction limit reached! 25.84/3.83 % (30526)------------------------------ 25.84/3.83 % (30526)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 25.84/3.83 % (30526)Termination reason: Unknown 25.84/3.83 % (30526)Termination phase: Saturation 25.84/3.83 25.84/3.83 % (30526)Memory used [KB]: 12153 25.84/3.83 % (30526)Time elapsed: 1.174 s 25.84/3.83 % (30526)Instructions burned: 2518 (million) 25.84/3.83 % (30526)------------------------------ 25.84/3.83 % (30526)------------------------------ 25.84/3.85 % (30543)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on theBenchmark for (2965ds/503Mi) 25.84/3.86 % (30543)Refutation not found, incomplete strategy 25.84/3.86 % (30543)------------------------------ 25.84/3.86 % (30543)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 25.84/3.86 % (30543)Termination reason: Refutation not found, incomplete strategy 25.84/3.86 25.84/3.86 25.84/3.86 % (30543)Memory used [KB]: 5756 25.84/3.86 % (30543)Time elapsed: 0.031 s 25.84/3.86 % (30543)Instructions burned: 14 (million) 25.84/3.86 % (30543)------------------------------ 25.84/3.86 % (30543)------------------------------ 25.84/3.87 % (30544)dis+1010_3039923:1048576_bsr=unit_only:cbe=off:cha=on:cnfonf=off:e2e=on:fsr=off:hud=1:ixr=off:kws=precedence:lma=on:nm=4:piset=or:s2a=on:sp=frequency:spb=goal_then_units:i=5104:si=on:rtra=on_0 on theBenchmark for (2965ds/5104Mi) 26.60/3.93 % (30541)Instruction limit reached! 26.60/3.93 % (30541)------------------------------ 26.60/3.93 % (30541)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 26.60/3.93 % (30541)Termination reason: Unknown 26.60/3.93 % (30541)Termination phase: Saturation 26.60/3.93 26.60/3.93 % (30541)Memory used [KB]: 3454 26.60/3.93 % (30541)Time elapsed: 0.281 s 26.60/3.93 % (30541)Instructions burned: 715 (million) 26.60/3.93 % (30541)------------------------------ 26.60/3.93 % (30541)------------------------------ 27.80/3.94 % (30545)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=312:si=on:rtra=on_0 on theBenchmark for (2964ds/312Mi) 27.94/4.01 % (30513)First to succeed. 28.50/4.04 % (30513)Refutation found. Thanks to Tanya! 28.50/4.04 % SZS status Theorem for theBenchmark 28.50/4.04 % SZS output start Proof for theBenchmark 28.50/4.04 thf(type_def_5, type, mu: $tType). 28.50/4.04 thf(type_def_7, type, reg: $tType). 28.50/4.04 thf(func_def_0, type, mu: $tType). 28.50/4.04 thf(func_def_1, type, meq_ind: mu > mu > $i > $o). 28.50/4.04 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o). 28.50/4.04 thf(func_def_4, type, mnot: ($i > $o) > $i > $o). 28.50/4.04 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o). 28.50/4.04 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o). 28.50/4.04 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 28.50/4.04 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o). 28.50/4.04 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o). 28.50/4.04 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o). 28.50/4.04 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o). 28.50/4.04 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 28.50/4.04 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o). 28.50/4.04 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o). 28.50/4.04 thf(func_def_15, type, mtrue: $i > $o). 28.50/4.04 thf(func_def_16, type, mfalse: $i > $o). 28.50/4.04 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 28.50/4.04 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o). 28.50/4.04 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o). 28.50/4.04 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o). 28.50/4.04 thf(func_def_21, type, mserial: ($i > $i > $o) > $o). 28.50/4.04 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o). 28.50/4.04 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o). 28.50/4.04 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o). 28.50/4.04 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o). 28.50/4.04 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o). 28.50/4.04 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o). 28.50/4.04 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o). 28.50/4.04 thf(func_def_29, type, mvalid: ($i > $o) > $o). 28.50/4.04 thf(func_def_30, type, minvalid: ($i > $o) > $o). 28.50/4.04 thf(func_def_31, type, msatisfiable: ($i > $o) > $o). 28.50/4.04 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o). 28.50/4.04 thf(func_def_33, type, reg: $tType). 28.50/4.04 thf(func_def_34, type, c: reg > reg > $o). 28.50/4.04 thf(func_def_35, type, dc: reg > reg > $o). 28.50/4.04 thf(func_def_36, type, p: reg > reg > $o). 28.50/4.04 thf(func_def_37, type, eq: reg > reg > $o). 28.50/4.04 thf(func_def_38, type, o: reg > reg > $o). 28.50/4.04 thf(func_def_39, type, po: reg > reg > $o). 28.50/4.04 thf(func_def_40, type, ec: reg > reg > $o). 28.50/4.04 thf(func_def_41, type, pp: reg > reg > $o). 28.50/4.04 thf(func_def_42, type, tpp: reg > reg > $o). 28.50/4.04 thf(func_def_43, type, ntpp: reg > reg > $o). 28.50/4.04 thf(func_def_44, type, catalunya: reg). 28.50/4.04 thf(func_def_45, type, france: reg). 28.50/4.04 thf(func_def_46, type, spain: reg). 28.50/4.04 thf(func_def_47, type, paris: reg). 28.50/4.04 thf(func_def_48, type, a: $i > $i > $o). 28.50/4.04 thf(func_def_49, type, fool: $i > $i > $o). 28.50/4.04 thf(func_def_66, type, ph1: !>[X0: $tType]:(X0)). 28.50/4.04 thf(func_def_67, type, sK2: reg). 28.50/4.04 thf(func_def_71, type, sK6: reg). 28.50/4.04 thf(func_def_72, type, sK7: reg). 28.50/4.04 thf(func_def_73, type, sK8: reg). 28.50/4.04 thf(func_def_74, type, sK9: reg). 28.50/4.04 thf(func_def_75, type, sK10: reg). 28.50/4.04 thf(func_def_76, type, sK11: reg). 28.50/4.04 thf(func_def_77, type, sK12: reg). 28.50/4.04 thf(func_def_78, type, sK13: reg). 28.50/4.04 thf(func_def_79, type, sK14: $i > $i > $i). 28.50/4.04 thf(func_def_80, type, sK15: reg). 28.50/4.04 thf(func_def_81, type, sK16: reg). 28.50/4.04 thf(func_def_82, type, sK17: reg). 28.50/4.04 thf(func_def_83, type, sK18: reg). 28.50/4.04 thf(func_def_84, type, sK19: reg). 28.50/4.04 thf(func_def_85, type, sK20: reg). 28.50/4.04 thf(func_def_86, type, sK21: reg). 28.50/4.04 thf(func_def_87, type, sK22: reg). 28.50/4.04 thf(func_def_88, type, sK23: reg). 28.50/4.04 thf(func_def_89, type, sK24: reg). 28.50/4.04 thf(func_def_90, type, sK25: reg). 28.50/4.04 thf(func_def_91, type, sK26: reg). 28.50/4.04 thf(func_def_92, type, sK27: reg). 28.50/4.04 thf(func_def_93, type, sK28: reg). 28.50/4.04 thf(func_def_94, type, sK29: reg). 28.50/4.04 thf(func_def_95, type, sK30: reg). 28.50/4.04 thf(func_def_96, type, sK31: reg). 28.50/4.04 thf(func_def_97, type, sK32: $i > ($i > $o) > $i). 28.50/4.04 thf(func_def_98, type, sK33: reg). 28.50/4.04 thf(func_def_99, type, sK34: reg). 28.50/4.04 thf(func_def_100, type, sK35: reg). 28.50/4.04 thf(func_def_101, type, sK36: reg). 28.50/4.04 thf(func_def_102, type, sK37: reg). 28.50/4.04 thf(func_def_103, type, sK38: reg). 28.50/4.04 thf(func_def_104, type, sK39: reg). 28.50/4.04 thf(func_def_105, type, sK40: reg). 28.50/4.04 thf(func_def_106, type, sK41: reg). 28.50/4.04 thf(func_def_107, type, sK42: reg). 28.50/4.04 thf(func_def_108, type, sK43: reg). 28.50/4.04 thf(func_def_109, type, sK44: reg). 28.50/4.04 thf(func_def_110, type, sK45: reg). 28.50/4.04 thf(func_def_111, type, sK46: reg). 28.50/4.04 thf(func_def_112, type, sK47: reg). 28.50/4.04 thf(func_def_113, type, sK48: reg). 28.50/4.04 thf(func_def_114, type, sK49: reg). 28.50/4.04 thf(func_def_115, type, sK50: reg). 28.50/4.04 thf(func_def_116, type, sK51: reg). 28.50/4.04 thf(func_def_117, type, sK52: reg). 28.50/4.04 thf(func_def_118, type, sK53: reg). 28.50/4.04 thf(func_def_119, type, sK54: reg). 28.50/4.04 thf(func_def_120, type, sK55: reg). 28.50/4.04 thf(func_def_121, type, sK56: reg). 28.50/4.04 thf(func_def_122, type, sK57: reg > reg). 28.50/4.04 thf(func_def_123, type, sK58: reg). 28.50/4.04 thf(func_def_124, type, sK59: reg). 28.50/4.04 thf(func_def_125, type, sK60: reg). 28.50/4.04 thf(func_def_126, type, sK61: reg > reg). 28.50/4.04 thf(func_def_127, type, sK62: reg). 28.50/4.04 thf(func_def_128, type, sK63: reg). 28.50/4.04 thf(func_def_129, type, sK64: reg). 28.50/4.04 thf(func_def_130, type, sK65: reg). 28.50/4.04 thf(func_def_131, type, sK66: reg). 28.50/4.04 thf(func_def_132, type, sK67: reg). 28.50/4.04 thf(func_def_133, type, sK68: reg). 28.50/4.04 thf(func_def_134, type, sK69: reg). 28.50/4.04 thf(func_def_135, type, sK70: reg). 28.50/4.04 thf(func_def_136, type, sK71: reg). 28.50/4.04 thf(func_def_137, type, sK72: reg). 28.50/4.04 thf(func_def_138, type, sK73: reg). 28.50/4.04 thf(func_def_139, type, sK74: reg). 28.50/4.04 thf(func_def_140, type, sK75: reg). 28.50/4.04 thf(func_def_141, type, sK76: reg). 28.50/4.04 thf(func_def_142, type, sK77: reg). 28.50/4.04 thf(func_def_143, type, sK78: reg). 28.50/4.04 thf(func_def_144, type, sK79: reg). 28.50/4.04 thf(func_def_145, type, sK80: reg). 28.50/4.04 thf(func_def_146, type, sK81: reg). 28.50/4.04 thf(func_def_147, type, sK82: reg). 28.50/4.04 thf(func_def_148, type, sK83: reg). 28.50/4.04 thf(func_def_149, type, sK84: reg). 28.50/4.04 thf(func_def_150, type, sK85: reg). 28.50/4.04 thf(func_def_151, type, sK86: reg). 28.50/4.04 thf(func_def_152, type, sK87: reg). 28.50/4.04 thf(func_def_153, type, sK88: reg). 28.50/4.04 thf(func_def_154, type, sK89: reg). 28.50/4.04 thf(func_def_155, type, sK90: reg). 28.50/4.04 thf(func_def_156, type, sK91: reg). 28.50/4.04 thf(func_def_157, type, sK92: reg). 28.50/4.04 thf(func_def_158, type, sK93: reg). 28.50/4.04 thf(func_def_159, type, sK94: reg). 28.50/4.04 thf(func_def_160, type, sK95: reg). 28.50/4.04 thf(f28053,plain,( 28.50/4.04 $false), 28.50/4.04 inference(avatar_sat_refutation,[],[f263,f299,f347,f382,f824,f839,f855,f873,f1300,f1815,f1836,f1943,f4596,f9040,f9129,f9238,f10658,f10687,f21029,f28052])). 28.50/4.04 thf(f28052,plain,( 28.50/4.04 ~spl0_3 | ~spl0_11 | ~spl0_83 | ~spl0_86), 28.50/4.04 inference(avatar_contradiction_clause,[],[f28051])). 28.50/4.04 thf(f28051,plain,( 28.50/4.04 $false | (~spl0_3 | ~spl0_11 | ~spl0_83 | ~spl0_86)), 28.50/4.04 inference(trivial_inequality_removal,[],[f28050])). 28.50/4.04 thf(f28050,plain,( 28.50/4.04 ($true = $false) | (~spl0_3 | ~spl0_11 | ~spl0_83 | ~spl0_86)), 28.50/4.04 inference(forward_demodulation,[],[f28047,f27978])). 28.50/4.04 thf(f27978,plain,( 28.50/4.04 ((c @ sK94 @ spain) = $false) | (~spl0_3 | ~spl0_11 | ~spl0_83 | ~spl0_86)), 28.50/4.04 inference(trivial_inequality_removal,[],[f27977])). 28.50/4.04 thf(f27977,plain,( 28.50/4.04 ($true = $false) | ((c @ sK94 @ spain) = $false) | (~spl0_3 | ~spl0_11 | ~spl0_83 | ~spl0_86)), 28.50/4.04 inference(boolean_simplification,[],[f27972])). 28.50/4.04 thf(f27972,plain,( 28.50/4.04 (((c @ sK94 @ sK87) => $true) = $false) | ((c @ sK94 @ spain) = $false) | (~spl0_3 | ~spl0_11 | ~spl0_83 | ~spl0_86)), 28.50/4.04 inference(superposition,[],[f27957,f2632])). 28.50/4.04 thf(f2632,plain,( 28.50/4.04 ( ! [X1 : reg] : (((c @ X1 @ sK6) = $true) | ((c @ X1 @ spain) = $false)) )), 28.50/4.04 inference(binary_proxy_clausification,[],[f2620])). 28.50/4.04 thf(f2620,plain,( 28.50/4.04 ( ! [X1 : reg] : (($true = ((c @ X1 @ spain) => (c @ X1 @ sK6)))) )), 28.50/4.04 inference(beta_eta_normalization,[],[f2618])). 28.50/4.04 thf(f2618,plain,( 28.50/4.04 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ sK6))) @ X1) = $true)) )), 28.50/4.04 inference(pi_clausification,[],[f2607])). 28.50/4.04 thf(f2607,plain,( 28.50/4.04 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ sK6)))))), 28.50/4.04 inference(boolean_simplification,[],[f2606])). 28.50/4.04 thf(f2606,plain,( 28.50/4.04 (($true & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ sK6))))) = $true)), 28.50/4.04 inference(backward_demodulation,[],[f2587,f2605])). 28.50/4.04 thf(f2605,plain,( 28.50/4.04 ($true = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ spain))))))), 28.50/4.04 inference(binary_proxy_clausification,[],[f2587])). 28.50/4.04 thf(f2587,plain,( 28.50/4.04 (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ spain))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ sK6))))) = $true)), 28.50/4.04 inference(boolean_simplification,[],[f2586])). 28.50/4.04 thf(f2586,plain,( 28.50/4.04 (($true & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ spain))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ sK6)))))) = $true)), 28.50/4.04 inference(backward_demodulation,[],[f938,f2585])). 28.50/4.04 thf(f2585,plain,( 28.50/4.04 ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) = $true)), 28.50/4.04 inference(binary_proxy_clausification,[],[f938])). 28.50/4.04 thf(f938,plain,( 28.50/4.04 (((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ spain))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ sK6)))))) = $true)), 28.50/4.04 inference(binary_proxy_clausification,[],[f462])). 28.50/4.04 thf(f462,plain,( 28.50/4.04 ((((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ france))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ sK6)))))) & ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ spain))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ sK6))))))) = $true)), 28.50/4.04 inference(binary_proxy_clausification,[],[f457])). 28.50/4.04 thf(f457,plain,( 28.50/4.04 (((((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ france))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ sK6)))))) & ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ spain))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ sK6))))))) => (((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK6)))))) & ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK6)))))))) = $false)), 28.50/4.04 inference(beta_eta_normalization,[],[f456])). 28.50/4.04 thf(f456,plain,( 28.50/4.04 (((^[Y0 : reg]: ((((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ Y0)))))) & ((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ spain) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ Y0))))))) => (((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ paris) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ Y0)))))) & ((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ catalunya) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ Y0))))))))) @ sK6) = $false)), 28.50/4.04 inference(sigma_clausification,[],[f434])). 28.50/4.04 thf(f434,plain,( 28.50/4.04 ((!! @ reg @ (^[Y0 : reg]: ((((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ Y0)))))) & ((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ spain) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ Y0))))))) => (((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ paris) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ Y0)))))) & ((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ catalunya) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ Y0)))))))))) = $false)), 28.50/4.04 inference(boolean_simplification,[],[f433])). 28.50/4.04 thf(f433,plain,( 28.50/4.04 (((!! @ reg @ (^[Y0 : reg]: ((((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ Y0)))))) & ((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ spain) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ Y0))))))) => (((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ paris) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ Y0)))))) & ((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ catalunya) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ Y0)))))))))) | $false) = $false)), 28.50/4.04 inference(backward_demodulation,[],[f377,f431])). 28.50/4.04 thf(f431,plain,( 28.50/4.04 ((~ (a @ sK3 @ sK4)) = $false)), 28.50/4.04 inference(binary_proxy_clausification,[],[f377])). 28.50/4.04 thf(f377,plain,( 28.50/4.04 (((!! @ reg @ (^[Y0 : reg]: ((((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ Y0)))))) & ((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ spain) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ Y0))))))) => (((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ paris) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ Y0)))))) & ((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ catalunya) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ Y0)))))))))) | (~ (a @ sK3 @ sK4))) = $false)), 28.50/4.04 inference(beta_eta_normalization,[],[f376])). 28.50/4.04 thf(f376,plain,( 28.50/4.04 (((^[Y0 : $i]: ((!! @ reg @ (^[Y1 : reg]: ((((~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ france) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))) & ((c @ Y2 @ Y1) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y1)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))))))) & ((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ Y1)))))) & ((~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ spain) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))) & ((c @ Y2 @ Y1) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y1)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))))))) & ((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ Y1))))))) => (((~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ paris) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))) & ((c @ Y2 @ Y1) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y1)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))))))) & ((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ Y1)))))) & ((~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ catalunya) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))) & ((c @ Y2 @ Y1) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y1)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))))))) & ((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ Y1)))))))))) | (~ (a @ sK3 @ Y0)))) @ sK4) = $false)), 28.50/4.04 inference(sigma_clausification,[],[f369])). 28.50/4.04 thf(f369,plain,( 28.50/4.04 ((!! @ $i @ (^[Y0 : $i]: ((!! @ reg @ (^[Y1 : reg]: ((((~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ france) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))) & ((c @ Y2 @ Y1) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y1)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))))))) & ((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ Y1)))))) & ((~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ spain) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))) & ((c @ Y2 @ Y1) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y1)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))))))) & ((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ Y1))))))) => (((~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ paris) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))) & ((c @ Y2 @ Y1) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y1)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))))))) & ((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ Y1)))))) & ((~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ catalunya) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))) & ((c @ Y2 @ Y1) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y1)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))))))) & ((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ Y1)))))))))) | (~ (a @ sK3 @ Y0))))) = $false)), 28.50/4.04 inference(beta_eta_normalization,[],[f368])). 28.50/4.04 thf(f368,plain,( 28.50/4.04 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ reg @ (^[Y2 : reg]: ((((~ (?? @ reg @ (^[Y3 : reg]: (((c @ Y3 @ france) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ france)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))))) & ((c @ Y3 @ Y2) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y2)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))))))))) & ((~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ france) => (c @ Y3 @ Y2)))))) & ((~ (?? @ reg @ (^[Y3 : reg]: (((c @ Y3 @ spain) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ spain)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))))) & ((c @ Y3 @ Y2) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y2)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))))))))) & ((~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain))))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ spain) => (c @ Y3 @ Y2))))))) => (((~ (?? @ reg @ (^[Y3 : reg]: (((c @ Y3 @ paris) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ paris)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))))) & ((c @ Y3 @ Y2) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y2)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))))))))) & ((~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris))))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ paris) => (c @ Y3 @ Y2)))))) & ((~ (?? @ reg @ (^[Y3 : reg]: (((c @ Y3 @ catalunya) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ catalunya)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))))) & ((c @ Y3 @ Y2) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y2)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))))))))) & ((~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya))))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ catalunya) => (c @ Y3 @ Y2)))))))))) | (~ (a @ Y0 @ Y1)))))) @ sK3) = $false)), 28.50/4.04 inference(sigma_clausification,[],[f361])). 28.50/4.04 thf(f361,plain,( 28.50/4.04 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ reg @ (^[Y2 : reg]: ((((~ (?? @ reg @ (^[Y3 : reg]: (((c @ Y3 @ france) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ france)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))))) & ((c @ Y3 @ Y2) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y2)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))))))))) & ((~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ france) => (c @ Y3 @ Y2)))))) & ((~ (?? @ reg @ (^[Y3 : reg]: (((c @ Y3 @ spain) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ spain)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))))) & ((c @ Y3 @ Y2) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y2)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))))))))) & ((~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain))))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ spain) => (c @ Y3 @ Y2))))))) => (((~ (?? @ reg @ (^[Y3 : reg]: (((c @ Y3 @ paris) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ paris)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))))) & ((c @ Y3 @ Y2) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y2)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))))))))) & ((~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris))))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ paris) => (c @ Y3 @ Y2)))))) & ((~ (?? @ reg @ (^[Y3 : reg]: (((c @ Y3 @ catalunya) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ catalunya)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))))) & ((c @ Y3 @ Y2) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y2)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))))))))) & ((~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya))))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ catalunya) => (c @ Y3 @ Y2)))))))))) | (~ (a @ Y0 @ Y1))))))) = $false)), 28.50/4.04 inference(not_proxy_clausification,[],[f225])). 28.50/4.04 thf(f225,plain,( 28.50/4.04 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ reg @ (^[Y2 : reg]: ((((~ (?? @ reg @ (^[Y3 : reg]: (((c @ Y3 @ france) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ france)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))))) & ((c @ Y3 @ Y2) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y2)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))))))))) & ((~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ france) => (c @ Y3 @ Y2)))))) & ((~ (?? @ reg @ (^[Y3 : reg]: (((c @ Y3 @ spain) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ spain)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))))) & ((c @ Y3 @ Y2) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y2)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))))))))) & ((~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain))))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ spain) => (c @ Y3 @ Y2))))))) => (((~ (?? @ reg @ (^[Y3 : reg]: (((c @ Y3 @ paris) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ paris)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))))) & ((c @ Y3 @ Y2) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y2)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))))))))) & ((~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris))))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ paris) => (c @ Y3 @ Y2)))))) & ((~ (?? @ reg @ (^[Y3 : reg]: (((c @ Y3 @ catalunya) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ catalunya)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))))) & ((c @ Y3 @ Y2) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y2)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))))))))) & ((~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya))))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ catalunya) => (c @ Y3 @ Y2)))))))))) | (~ (a @ Y0 @ Y1)))))))))), 28.50/4.04 inference(beta_eta_normalization,[],[f213])). 28.50/4.04 thf(f213,plain,( 28.50/4.04 ((~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))) @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: ((((^[Y2 : reg]: ((^[Y3 : reg]: ((~ (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: ((c @ Y5 @ Y6) & (~ ((^[Y7 : reg]: ((^[Y8 : reg]: (?? @ reg @ (^[Y9 : reg]: (((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y8) & ((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y7))))))) @ Y5 @ Y6)))))) @ Y4 @ Y2) & ((^[Y5 : reg]: ((^[Y6 : reg]: ((c @ Y5 @ Y6) & (~ ((^[Y7 : reg]: ((^[Y8 : reg]: (?? @ reg @ (^[Y9 : reg]: (((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y8) & ((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y7))))))) @ Y5 @ Y6)))))) @ Y4 @ Y3))))) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y4)) & ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y4 @ Y5))))) @ Y2 @ Y3))))) @ france @ Y1) & ((^[Y2 : reg]: ((^[Y3 : reg]: ((~ (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: ((c @ Y5 @ Y6) & (~ ((^[Y7 : reg]: ((^[Y8 : reg]: (?? @ reg @ (^[Y9 : reg]: (((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y8) & ((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y7))))))) @ Y5 @ Y6)))))) @ Y4 @ Y2) & ((^[Y5 : reg]: ((^[Y6 : reg]: ((c @ Y5 @ Y6) & (~ ((^[Y7 : reg]: ((^[Y8 : reg]: (?? @ reg @ (^[Y9 : reg]: (((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y8) & ((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y7))))))) @ Y5 @ Y6)))))) @ Y4 @ Y3))))) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y4)) & ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y4 @ Y5))))) @ Y2 @ Y3))))) @ spain @ Y1)) => (((^[Y2 : reg]: ((^[Y3 : reg]: ((~ (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: ((c @ Y5 @ Y6) & (~ ((^[Y7 : reg]: ((^[Y8 : reg]: (?? @ reg @ (^[Y9 : reg]: (((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y8) & ((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y7))))))) @ Y5 @ Y6)))))) @ Y4 @ Y2) & ((^[Y5 : reg]: ((^[Y6 : reg]: ((c @ Y5 @ Y6) & (~ ((^[Y7 : reg]: ((^[Y8 : reg]: (?? @ reg @ (^[Y9 : reg]: (((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y8) & ((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y7))))))) @ Y5 @ Y6)))))) @ Y4 @ Y3))))) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y4)) & ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y4 @ Y5))))) @ Y2 @ Y3))))) @ paris @ Y1) & ((^[Y2 : reg]: ((^[Y3 : reg]: ((~ (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: ((c @ Y5 @ Y6) & (~ ((^[Y7 : reg]: ((^[Y8 : reg]: (?? @ reg @ (^[Y9 : reg]: (((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y8) & ((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y7))))))) @ Y5 @ Y6)))))) @ Y4 @ Y2) & ((^[Y5 : reg]: ((^[Y6 : reg]: ((c @ Y5 @ Y6) & (~ ((^[Y7 : reg]: ((^[Y8 : reg]: (?? @ reg @ (^[Y9 : reg]: (((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y8) & ((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y7))))))) @ Y5 @ Y6)))))) @ Y4 @ Y3))))) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y4)) & ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y4 @ Y5))))) @ Y2 @ Y3))))) @ catalunya @ Y1))))))))) = $true)), 28.50/4.04 inference(definition_unfolding,[],[f156,f148,f182,f211,f211,f211,f211])). 28.50/4.04 thf(f211,plain,( 28.50/4.04 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)))))) @ Y2 @ Y1))))) & ((^[Y2 : reg]: ((^[Y3 : reg]: ((~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)) & ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3))))) @ Y0 @ Y1))))))), 28.50/4.04 inference(definition_unfolding,[],[f178,f208,f208,f209])). 28.50/4.04 thf(f209,plain,( 28.50/4.04 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y1 @ Y0)) & ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y0 @ Y1))))))), 28.50/4.04 inference(definition_unfolding,[],[f152,f183,f183])). 28.50/4.04 thf(f183,plain,( 28.50/4.04 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))), 28.50/4.04 inference(cnf_transformation,[],[f72])). 28.50/4.04 thf(f72,plain,( 28.50/4.04 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))), 28.50/4.04 inference(fool_elimination,[],[f71])). 28.50/4.04 thf(f71,plain,( 28.50/4.04 ((^[X0 : reg, X1 : reg] : (! [X2 : reg] : ((c @ X2 @ X0) => (c @ X2 @ X1)))) = p)), 28.50/4.04 inference(rectify,[],[f33])). 28.50/4.04 thf(f33,axiom,( 28.50/4.04 ((^[X0 : reg, X1 : reg] : (! [X11 : reg] : ((c @ X11 @ X0) => (c @ X11 @ X1)))) = p)), 28.50/4.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p)). 28.50/4.04 thf(f152,plain,( 28.50/4.04 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (p @ Y1 @ Y0)) & (p @ Y0 @ Y1))))))), 28.50/4.04 inference(cnf_transformation,[],[f146])). 28.50/4.04 thf(f146,plain,( 28.50/4.04 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (p @ Y1 @ Y0)) & (p @ Y0 @ Y1))))))), 28.50/4.04 inference(fool_elimination,[],[f145])). 28.50/4.04 thf(f145,plain,( 28.50/4.04 ((^[X0 : reg, X1 : reg] : ((p @ X0 @ X1) & ~(p @ X1 @ X0))) = pp)), 28.50/4.04 inference(rectify,[],[f38])). 28.50/4.04 thf(f38,axiom,( 28.50/4.04 ((^[X0 : reg, X1 : reg] : ((p @ X0 @ X1) & ~(p @ X1 @ X0))) = pp)), 28.50/4.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pp)). 28.50/4.04 thf(f208,plain,( 28.50/4.04 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ ((^[Y2 : reg]: ((^[Y3 : reg]: (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y2))))))) @ Y0 @ Y1)))))))), 28.50/4.04 inference(definition_unfolding,[],[f179,f206])). 28.50/4.04 thf(f206,plain,( 28.50/4.04 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y1) & ((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y0))))))))), 28.50/4.04 inference(definition_unfolding,[],[f189,f183,f183])). 28.50/4.04 thf(f189,plain,( 28.50/4.04 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y1) & (p @ Y2 @ Y0))))))))), 28.50/4.04 inference(cnf_transformation,[],[f126])). 28.50/4.04 thf(f126,plain,( 28.50/4.04 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y1) & (p @ Y2 @ Y0))))))))), 28.50/4.04 inference(fool_elimination,[],[f125])). 28.50/4.04 thf(f125,plain,( 28.50/4.04 (o = (^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((p @ X2 @ X0) & (p @ X2 @ X1)))))), 28.50/4.04 inference(rectify,[],[f35])). 28.50/4.04 thf(f35,axiom,( 28.50/4.04 (o = (^[X0 : reg, X1 : reg] : (? [X11 : reg] : ((p @ X11 @ X0) & (p @ X11 @ X1)))))), 28.50/4.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o)). 28.50/4.04 thf(f179,plain,( 28.50/4.04 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ (o @ Y0 @ Y1)))))))), 28.50/4.04 inference(cnf_transformation,[],[f102])). 28.50/4.04 thf(f102,plain,( 28.50/4.04 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ (o @ Y0 @ Y1)))))))), 28.50/4.04 inference(fool_elimination,[],[f101])). 28.50/4.04 thf(f101,plain,( 28.50/4.04 ((^[X0 : reg, X1 : reg] : (~(o @ X0 @ X1) & (c @ X0 @ X1))) = ec)), 28.50/4.04 inference(rectify,[],[f37])). 28.50/4.04 thf(f37,axiom,( 28.50/4.04 ((^[X0 : reg, X1 : reg] : (~(o @ X0 @ X1) & (c @ X0 @ X1))) = ec)), 28.50/4.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ec)). 28.50/4.04 thf(f178,plain,( 28.50/4.04 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))) & (pp @ Y0 @ Y1))))))), 28.50/4.04 inference(cnf_transformation,[],[f124])). 28.50/4.04 thf(f124,plain,( 28.50/4.04 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))) & (pp @ Y0 @ Y1))))))), 28.50/4.04 inference(fool_elimination,[],[f123])). 28.50/4.04 thf(f123,plain,( 28.50/4.04 (ntpp = (^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ~? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)))))), 28.50/4.04 inference(rectify,[],[f40])). 28.50/4.04 thf(f40,axiom,( 28.50/4.04 (ntpp = (^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ~? [X11 : reg] : ((ec @ X11 @ X1) & (ec @ X11 @ X0)))))), 28.50/4.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ntpp)). 28.50/4.04 thf(f182,plain,( 28.50/4.04 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))), 28.50/4.04 inference(cnf_transformation,[],[f138])). 28.50/4.04 thf(f138,plain,( 28.50/4.04 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))), 28.50/4.04 inference(fool_elimination,[],[f137])). 28.50/4.04 thf(f137,plain,( 28.50/4.04 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : (~(X0 @ X2 @ X3) | (X1 @ X3)))))), 28.50/4.04 inference(rectify,[],[f16])). 28.50/4.04 thf(f16,axiom,( 28.50/4.04 (mbox = (^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : (~(X6 @ X2 @ X7) | (X3 @ X7)))))), 28.50/4.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)). 28.50/4.04 thf(f148,plain,( 28.50/4.04 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))), 28.50/4.04 inference(cnf_transformation,[],[f84])). 28.50/4.04 thf(f84,plain,( 28.50/4.04 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))), 28.50/4.04 inference(fool_elimination,[],[f83])). 28.50/4.04 thf(f83,plain,( 28.50/4.04 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))), 28.50/4.04 inference(rectify,[],[f28])). 28.50/4.04 thf(f28,axiom,( 28.50/4.04 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))), 28.50/4.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)). 28.50/4.04 thf(f156,plain,( 28.50/4.04 ((~ (mvalid @ (mbox @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: (((ntpp @ france @ Y1) & (ntpp @ spain @ Y1)) => ((ntpp @ paris @ Y1) & (ntpp @ catalunya @ Y1))))))))) = $true)), 28.50/4.04 inference(cnf_transformation,[],[f61])). 28.50/4.04 thf(f61,plain,( 28.50/4.04 ((~ (mvalid @ (mbox @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: (((ntpp @ france @ Y1) & (ntpp @ spain @ Y1)) => ((ntpp @ paris @ Y1) & (ntpp @ catalunya @ Y1))))))))) = $true)), 28.50/4.04 inference(fool_elimination,[],[f60])). 28.50/4.04 thf(f60,plain,( 28.50/4.04 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X1 : reg] : (((ntpp @ spain @ X1) & (ntpp @ france @ X1)) => ((ntpp @ catalunya @ X1) & (ntpp @ paris @ X1)))))))), 28.50/4.04 inference(rectify,[],[f48])). 28.50/4.04 thf(f48,negated_conjecture,( 28.50/4.04 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X0 : reg] : (((ntpp @ spain @ X0) & (ntpp @ france @ X0)) => ((ntpp @ catalunya @ X0) & (ntpp @ paris @ X0)))))))), 28.50/4.04 inference(negated_conjecture,[],[f47])). 28.50/4.04 thf(f47,conjecture,( 28.50/4.04 (mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X0 : reg] : (((ntpp @ spain @ X0) & (ntpp @ france @ X0)) => ((ntpp @ catalunya @ X0) & (ntpp @ paris @ X0)))))))), 28.50/4.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)). 28.50/4.04 thf(f27957,plain,( 28.50/4.04 (((c @ sK94 @ sK87) => (c @ sK94 @ sK6)) = $false) | (~spl0_3 | ~spl0_11 | ~spl0_83 | ~spl0_86)), 28.50/4.04 inference(beta_eta_normalization,[],[f27952])). 28.50/4.04 thf(f27952,plain,( 28.50/4.04 (((^[Y0 : reg]: ((c @ Y0 @ sK87) => (c @ Y0 @ sK6))) @ sK94) = $false) | (~spl0_3 | ~spl0_11 | ~spl0_83 | ~spl0_86)), 28.50/4.04 inference(sigma_clausification,[],[f23851])). 28.50/4.04 thf(f23851,plain,( 28.50/4.04 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK87) => (c @ Y0 @ sK6)))) = $false) | (~spl0_3 | ~spl0_11 | ~spl0_83 | ~spl0_86)), 28.50/4.04 inference(boolean_simplification,[],[f23848])). 28.50/4.04 thf(f23848,plain,( 28.50/4.04 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK87) => (c @ Y0 @ sK6)))) & $true) = $false) | (~spl0_3 | ~spl0_11 | ~spl0_83 | ~spl0_86)), 28.50/4.04 inference(superposition,[],[f21173,f23815])). 28.50/4.04 thf(f23815,plain,( 28.50/4.04 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK87) => (c @ Y0 @ sK11)))) = $true) | (~spl0_3 | ~spl0_11 | ~spl0_83 | ~spl0_86)), 28.50/4.04 inference(boolean_simplification,[],[f23814])). 28.50/4.04 thf(f23814,plain,( 28.50/4.04 (($true & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK87) => (c @ Y0 @ sK11))))) = $true) | (~spl0_3 | ~spl0_11 | ~spl0_83 | ~spl0_86)), 28.50/4.04 inference(backward_demodulation,[],[f23798,f23810])). 28.50/4.04 thf(f23810,plain,( 28.50/4.04 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK87) => (c @ Y0 @ spain)))) = $true) | (~spl0_3 | ~spl0_11 | ~spl0_83 | ~spl0_86)), 28.50/4.04 inference(binary_proxy_clausification,[],[f23798])). 28.50/4.04 thf(f23798,plain,( 28.50/4.04 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK87) => (c @ Y0 @ spain)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK87) => (c @ Y0 @ sK11))))) = $true) | (~spl0_3 | ~spl0_11 | ~spl0_83 | ~spl0_86)), 28.50/4.04 inference(beta_eta_normalization,[],[f23793])). 28.50/4.04 thf(f23793,plain,( 28.50/4.04 (((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))))) @ sK87) = $true) | (~spl0_3 | ~spl0_11 | ~spl0_83 | ~spl0_86)), 28.50/4.04 inference(sigma_clausification,[],[f23745])). 28.50/4.04 thf(f23745,plain,( 28.50/4.04 ($true = (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))))))) | (~spl0_3 | ~spl0_11 | ~spl0_83 | ~spl0_86)), 28.50/4.04 inference(not_proxy_clausification,[],[f21256])). 28.50/4.04 thf(f21256,plain,( 28.50/4.04 ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))))))) = $false) | (~spl0_3 | ~spl0_11 | ~spl0_83 | ~spl0_86)), 28.50/4.04 inference(boolean_simplification,[],[f21255])). 28.50/4.04 thf(f21255,plain,( 28.50/4.04 (($true & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))))) = $false) | (~spl0_3 | ~spl0_11 | ~spl0_83 | ~spl0_86)), 28.50/4.04 inference(backward_demodulation,[],[f21102,f21251])). 28.50/4.04 thf(f21251,plain,( 28.50/4.04 ((c @ sK11 @ spain) = $true) | (~spl0_3 | ~spl0_86)), 28.50/4.04 inference(boolean_simplification,[],[f21246])). 28.50/4.04 thf(f21246,plain,( 28.50/4.04 ($true = ($true => (c @ sK11 @ spain))) | (~spl0_3 | ~spl0_86)), 28.50/4.04 inference(superposition,[],[f314,f21244])). 28.50/4.04 thf(f21244,plain,( 28.50/4.04 ((c @ sK11 @ catalunya) = $true) | ~spl0_86), 28.50/4.04 inference(boolean_simplification,[],[f21243])). 28.50/4.04 thf(f21243,plain,( 28.50/4.04 ($true = ((c @ sK11 @ catalunya) & $true)) | ~spl0_86), 28.50/4.04 inference(backward_demodulation,[],[f10682,f21238])). 28.50/4.04 thf(f21238,plain,( 28.50/4.04 ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))))))) = $true) | ~spl0_86), 28.50/4.04 inference(binary_proxy_clausification,[],[f10682])). 28.50/4.04 thf(f10682,plain,( 28.50/4.04 (((c @ sK11 @ catalunya) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))))) = $true) | ~spl0_86), 28.50/4.04 inference(avatar_component_clause,[],[f10681])). 28.50/4.04 thf(f10681,plain,( 28.50/4.04 spl0_86 <=> (((c @ sK11 @ catalunya) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))))) = $true)), 28.50/4.04 introduced(avatar_definition,[new_symbols(naming,[spl0_86])])). 28.50/4.04 thf(f314,plain,( 28.50/4.04 ( ! [X1 : reg] : (($true = ((c @ X1 @ catalunya) => (c @ X1 @ spain)))) ) | ~spl0_3), 28.50/4.04 inference(beta_eta_normalization,[],[f312])). 28.50/4.04 thf(f312,plain,( 28.50/4.04 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))) @ X1) = $true)) ) | ~spl0_3), 28.50/4.04 inference(pi_clausification,[],[f311])). 28.50/4.04 thf(f311,plain,( 28.50/4.04 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))) | ~spl0_3), 28.50/4.04 inference(boolean_simplification,[],[f310])). 28.50/4.04 thf(f310,plain,( 28.50/4.04 (($true & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))) = $true) | ~spl0_3), 28.50/4.04 inference(backward_demodulation,[],[f307,f309])). 28.50/4.04 thf(f309,plain,( 28.50/4.04 ($true = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))) | ~spl0_3), 28.50/4.04 inference(binary_proxy_clausification,[],[f307])). 28.50/4.04 thf(f307,plain,( 28.50/4.04 (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))) = $true) | ~spl0_3), 28.50/4.04 inference(boolean_simplification,[],[f306])). 28.50/4.04 thf(f306,plain,( 28.50/4.04 ($true = ($true & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))))) | ~spl0_3), 28.50/4.04 inference(backward_demodulation,[],[f295,f305])). 28.50/4.04 thf(f305,plain,( 28.50/4.04 ((?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))))))) = $true) | ~spl0_3), 28.50/4.04 inference(binary_proxy_clausification,[],[f295])). 28.50/4.04 thf(f295,plain,( 28.50/4.04 (((?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))))) = $true) | ~spl0_3), 28.50/4.04 inference(avatar_component_clause,[],[f294])). 28.50/4.04 thf(f294,plain,( 28.50/4.04 spl0_3 <=> (((?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))))) = $true)), 28.50/4.04 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])). 28.50/4.04 thf(f21102,plain,( 28.50/4.04 (((c @ sK11 @ spain) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))))) = $false) | (~spl0_11 | ~spl0_83 | ~spl0_86)), 28.50/4.04 inference(boolean_simplification,[],[f21101])). 28.50/4.04 thf(f21101,plain,( 28.50/4.04 ((((c @ sK11 @ spain) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))))) & $true) = $false) | (~spl0_11 | ~spl0_83 | ~spl0_86)), 28.50/4.04 inference(forward_demodulation,[],[f21096,f9128])). 28.50/4.04 thf(f9128,plain,( 28.50/4.04 ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))))))) = $true) | ~spl0_83), 28.50/4.04 inference(avatar_component_clause,[],[f9127])). 28.50/4.04 thf(f9127,plain,( 28.50/4.04 spl0_83 <=> ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))))))) = $true)), 28.50/4.04 introduced(avatar_definition,[new_symbols(naming,[spl0_83])])). 28.50/4.04 thf(f21096,plain,( 28.50/4.04 ((((c @ sK11 @ spain) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))))) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))))) = $false) | (~spl0_11 | ~spl0_83 | ~spl0_86)), 28.50/4.04 inference(boolean_simplification,[],[f21076])). 28.50/4.04 thf(f21076,plain,( 28.50/4.04 ((((c @ sK11 @ spain) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))))) & ($true & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))))))))) = $false) | (~spl0_11 | ~spl0_83 | ~spl0_86)), 28.50/4.04 inference(superposition,[],[f6328,f21070])). 28.50/4.04 thf(f21070,plain,( 28.50/4.04 ((c @ sK11 @ sK6) = $true) | (~spl0_11 | ~spl0_83 | ~spl0_86)), 28.50/4.04 inference(boolean_simplification,[],[f21069])). 28.50/4.04 thf(f21069,plain,( 28.50/4.04 (((c @ sK11 @ sK6) & $true) = $true) | (~spl0_11 | ~spl0_83 | ~spl0_86)), 28.50/4.04 inference(forward_demodulation,[],[f21068,f9128])). 28.50/4.04 thf(f21068,plain,( 28.50/4.04 (((c @ sK11 @ sK6) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))))) = $true) | (~spl0_11 | ~spl0_86)), 28.50/4.04 inference(boolean_simplification,[],[f21067])). 28.50/4.04 thf(f21067,plain,( 28.50/4.04 ($true = ($true & ((c @ sK11 @ sK6) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))))))) | (~spl0_11 | ~spl0_86)), 28.50/4.04 inference(forward_demodulation,[],[f21066,f10682])). 28.50/4.04 thf(f21066,plain,( 28.50/4.04 ((((c @ sK11 @ catalunya) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))))) & ((c @ sK11 @ sK6) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))))))))) = $true) | ~spl0_11), 28.50/4.04 inference(beta_eta_normalization,[],[f21065])). 28.50/4.04 thf(f21065,plain,( 28.50/4.04 (((^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))) @ sK11) = $true) | ~spl0_11), 28.50/4.04 inference(sigma_clausification,[],[f21034])). 28.50/4.04 thf(f21034,plain,( 28.50/4.04 ($true = (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) | ~spl0_11), 28.50/4.04 inference(not_proxy_clausification,[],[f838])). 28.50/4.04 thf(f838,plain,( 28.50/4.04 ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) = $false) | ~spl0_11), 28.50/4.04 inference(avatar_component_clause,[],[f837])). 28.50/4.04 thf(f837,plain,( 28.50/4.04 spl0_11 <=> ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) = $false)), 28.50/4.04 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])). 28.50/4.04 thf(f6328,plain,( 28.50/4.04 ( ! [X1 : reg] : (((((c @ X1 @ spain) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1))))))))) & ((c @ X1 @ sK6) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1)))))))))) = $false)) )), 28.50/4.04 inference(beta_eta_normalization,[],[f6327])). 28.50/4.04 thf(f6327,plain,( 28.50/4.04 ( ! [X1 : reg] : ((((^[Y0 : reg]: (((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))) @ X1) = $false)) )), 28.50/4.04 inference(pi_clausification,[],[f6314])). 28.50/4.04 thf(f6314,plain,( 28.50/4.04 ((?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))))))) = $false)), 28.50/4.04 inference(not_proxy_clausification,[],[f2585])). 28.50/4.04 thf(f21173,plain,( 28.50/4.04 ( ! [X1 : reg] : ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ sK6)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ sK11))))) = $false)) ) | ~spl0_83), 28.50/4.04 inference(beta_eta_normalization,[],[f21166])). 28.50/4.04 thf(f21166,plain,( 28.50/4.04 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))))) @ X1) = $false)) ) | ~spl0_83), 28.50/4.04 inference(pi_clausification,[],[f21126])). 28.50/4.04 thf(f21126,plain,( 28.50/4.04 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))) = $false) | ~spl0_83), 28.50/4.04 inference(not_proxy_clausification,[],[f9128])). 28.50/4.04 thf(f28047,plain,( 28.50/4.04 ((c @ sK94 @ spain) = $true) | (~spl0_3 | ~spl0_11 | ~spl0_83 | ~spl0_86)), 28.50/4.04 inference(boolean_simplification,[],[f28039])). 28.50/4.04 thf(f28039,plain,( 28.50/4.04 (($true => (c @ sK94 @ spain)) = $true) | (~spl0_3 | ~spl0_11 | ~spl0_83 | ~spl0_86)), 28.50/4.04 inference(superposition,[],[f27644,f27969])). 28.50/4.04 thf(f27969,plain,( 28.50/4.04 ((c @ sK94 @ sK87) = $true) | (~spl0_3 | ~spl0_11 | ~spl0_83 | ~spl0_86)), 28.50/4.04 inference(binary_proxy_clausification,[],[f27957])). 28.50/4.04 thf(f27644,plain,( 28.50/4.04 ( ! [X1 : reg] : ((((c @ X1 @ sK87) => (c @ X1 @ spain)) = $true)) ) | (~spl0_3 | ~spl0_11 | ~spl0_83 | ~spl0_86)), 28.50/4.04 inference(beta_eta_normalization,[],[f27639])). 28.50/4.04 thf(f27639,plain,( 28.50/4.04 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ sK87) => (c @ Y0 @ spain))) @ X1) = $true)) ) | (~spl0_3 | ~spl0_11 | ~spl0_83 | ~spl0_86)), 28.50/4.04 inference(pi_clausification,[],[f23810])). 28.50/4.04 thf(f21029,plain,( 28.50/4.04 ~spl0_5 | ~spl0_13 | ~spl0_81), 28.50/4.04 inference(avatar_contradiction_clause,[],[f21028])). 28.50/4.04 thf(f21028,plain,( 28.50/4.04 $false | (~spl0_5 | ~spl0_13 | ~spl0_81)), 28.50/4.04 inference(trivial_inequality_removal,[],[f21027])). 28.50/4.04 thf(f21027,plain,( 28.50/4.04 ($true = $false) | (~spl0_5 | ~spl0_13 | ~spl0_81)), 28.50/4.04 inference(forward_demodulation,[],[f21026,f20782])). 28.50/4.04 thf(f20782,plain,( 28.50/4.04 ((c @ sK79 @ france) = $false) | (~spl0_5 | ~spl0_13 | ~spl0_81)), 28.50/4.04 inference(trivial_inequality_removal,[],[f20781])). 28.50/4.04 thf(f20781,plain,( 28.50/4.04 ($true = $false) | ((c @ sK79 @ france) = $false) | (~spl0_5 | ~spl0_13 | ~spl0_81)), 28.50/4.04 inference(boolean_simplification,[],[f20774])). 28.50/4.04 thf(f20774,plain,( 28.50/4.04 (((c @ sK79 @ sK30) => $true) = $false) | ((c @ sK79 @ france) = $false) | (~spl0_5 | ~spl0_13 | ~spl0_81)), 28.50/4.04 inference(superposition,[],[f20763,f1379])). 28.50/4.04 thf(f1379,plain,( 28.50/4.04 ( ! [X1 : reg] : (((c @ X1 @ sK6) = $true) | ((c @ X1 @ france) = $false)) )), 28.50/4.04 inference(binary_proxy_clausification,[],[f1308])). 28.50/4.04 thf(f1308,plain,( 28.50/4.04 ( ! [X1 : reg] : ((((c @ X1 @ france) => (c @ X1 @ sK6)) = $true)) )), 28.50/4.04 inference(beta_eta_normalization,[],[f1305])). 28.50/4.04 thf(f1305,plain,( 28.50/4.04 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ sK6))) @ X1) = $true)) )), 28.50/4.04 inference(pi_clausification,[],[f1064])). 28.50/4.04 thf(f1064,plain,( 28.50/4.04 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ sK6)))))), 28.50/4.04 inference(binary_proxy_clausification,[],[f950])). 28.50/4.04 thf(f950,plain,( 28.50/4.04 (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ france))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ sK6))))) = $true)), 28.50/4.04 inference(binary_proxy_clausification,[],[f941])). 28.50/4.04 thf(f941,plain,( 28.50/4.04 ($true = ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ france))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ sK6)))))))), 28.50/4.04 inference(boolean_simplification,[],[f940])). 28.50/4.04 thf(f940,plain,( 28.50/4.04 ((((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ france))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ sK6)))))) & $true) = $true)), 28.50/4.04 inference(backward_demodulation,[],[f462,f938])). 28.50/4.04 thf(f20763,plain,( 28.50/4.04 (((c @ sK79 @ sK30) => (c @ sK79 @ sK6)) = $false) | (~spl0_5 | ~spl0_13 | ~spl0_81)), 28.50/4.04 inference(beta_eta_normalization,[],[f20761])). 28.50/4.04 thf(f20761,plain,( 28.50/4.04 (((^[Y0 : reg]: ((c @ Y0 @ sK30) => (c @ Y0 @ sK6))) @ sK79) = $false) | (~spl0_5 | ~spl0_13 | ~spl0_81)), 28.50/4.04 inference(sigma_clausification,[],[f11899])). 28.50/4.04 thf(f11899,plain,( 28.50/4.04 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK30) => (c @ Y0 @ sK6)))) = $false) | (~spl0_5 | ~spl0_13 | ~spl0_81)), 28.50/4.04 inference(boolean_simplification,[],[f11897])). 28.50/4.04 thf(f11897,plain,( 28.50/4.04 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK30) => (c @ Y0 @ sK6)))) & $true) = $false) | (~spl0_5 | ~spl0_13 | ~spl0_81)), 28.50/4.04 inference(superposition,[],[f11278,f11398])). 28.50/4.04 thf(f11398,plain,( 28.50/4.04 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK30) => (c @ Y0 @ sK16)))) = $true) | (~spl0_5 | ~spl0_13 | ~spl0_81)), 28.50/4.04 inference(binary_proxy_clausification,[],[f11364])). 28.50/4.04 thf(f11364,plain,( 28.50/4.04 ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK30) => (c @ Y0 @ france)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK30) => (c @ Y0 @ sK16)))))) | (~spl0_5 | ~spl0_13 | ~spl0_81)), 28.50/4.04 inference(beta_eta_normalization,[],[f11358])). 28.50/4.04 thf(f11358,plain,( 28.50/4.04 ($true = ((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16)))))) @ sK30)) | (~spl0_5 | ~spl0_13 | ~spl0_81)), 28.50/4.04 inference(sigma_clausification,[],[f11341])). 28.50/4.04 thf(f11341,plain,( 28.50/4.04 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16))))))) = $true) | (~spl0_5 | ~spl0_13 | ~spl0_81)), 28.50/4.04 inference(not_proxy_clausification,[],[f10842])). 28.50/4.04 thf(f10842,plain,( 28.50/4.04 ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16)))))))) = $false) | (~spl0_5 | ~spl0_13 | ~spl0_81)), 28.50/4.04 inference(boolean_simplification,[],[f10841])). 28.50/4.04 thf(f10841,plain,( 28.50/4.04 (((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16)))))))) & $true) = $false) | (~spl0_5 | ~spl0_13 | ~spl0_81)), 28.50/4.04 inference(forward_demodulation,[],[f10840,f8961])). 28.50/4.04 thf(f8961,plain,( 28.50/4.04 ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16)))))))) = $true) | ~spl0_81), 28.50/4.04 inference(avatar_component_clause,[],[f8960])). 28.50/4.04 thf(f8960,plain,( 28.50/4.04 spl0_81 <=> ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16)))))))) = $true)), 28.50/4.04 introduced(avatar_definition,[new_symbols(naming,[spl0_81])])). 28.50/4.04 thf(f10840,plain,( 28.50/4.04 (((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16)))))))) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16))))))))) = $false) | (~spl0_5 | ~spl0_13 | ~spl0_81)), 28.50/4.04 inference(boolean_simplification,[],[f10839])). 28.50/4.04 thf(f10839,plain,( 28.50/4.04 ((($true & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16))))))))) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16))))))))) = $false) | (~spl0_5 | ~spl0_13 | ~spl0_81)), 28.50/4.04 inference(forward_demodulation,[],[f10831,f10809])). 28.50/4.04 thf(f10809,plain,( 28.50/4.04 ((c @ sK16 @ france) = $true) | (~spl0_5 | ~spl0_13 | ~spl0_81)), 28.50/4.04 inference(trivial_inequality_removal,[],[f10808])). 28.50/4.04 thf(f10808,plain,( 28.50/4.04 ($true = $false) | ((c @ sK16 @ france) = $true) | (~spl0_5 | ~spl0_13 | ~spl0_81)), 28.50/4.04 inference(boolean_simplification,[],[f10807])). 28.50/4.04 thf(f10807,plain,( 28.50/4.04 ((c @ sK16 @ france) = $true) | (($false & (c @ sK16 @ sK6)) = $true) | (~spl0_5 | ~spl0_13 | ~spl0_81)), 28.50/4.04 inference(boolean_simplification,[],[f10802])). 28.50/4.04 thf(f10802,plain,( 28.50/4.04 ((c @ sK16 @ france) = $true) | ((($false & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16))))))))) & (c @ sK16 @ sK6)) = $true) | (~spl0_5 | ~spl0_13 | ~spl0_81)), 28.50/4.04 inference(superposition,[],[f10771,f416])). 28.50/4.04 thf(f416,plain,( 28.50/4.04 ( ! [X1 : reg] : (((c @ X1 @ paris) = $false) | ((c @ X1 @ france) = $true)) ) | ~spl0_5), 28.50/4.04 inference(binary_proxy_clausification,[],[f411])). 28.50/4.04 thf(f411,plain,( 28.50/4.04 ( ! [X1 : reg] : ((((c @ X1 @ paris) => (c @ X1 @ france)) = $true)) ) | ~spl0_5), 28.50/4.04 inference(beta_eta_normalization,[],[f409])). 28.50/4.04 thf(f409,plain,( 28.50/4.04 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))) @ X1) = $true)) ) | ~spl0_5), 28.50/4.04 inference(pi_clausification,[],[f404])). 28.50/4.04 thf(f404,plain,( 28.50/4.04 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) = $true) | ~spl0_5), 28.50/4.04 inference(boolean_simplification,[],[f403])). 28.50/4.04 thf(f403,plain,( 28.50/4.04 ($true = ($true & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))))) | ~spl0_5), 28.50/4.04 inference(backward_demodulation,[],[f394,f402])). 28.50/4.04 thf(f402,plain,( 28.50/4.04 ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) = $true) | ~spl0_5), 28.50/4.04 inference(binary_proxy_clausification,[],[f394])). 28.50/4.04 thf(f394,plain,( 28.50/4.04 (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) = $true) | ~spl0_5), 28.50/4.04 inference(boolean_simplification,[],[f393])). 28.50/4.04 thf(f393,plain,( 28.50/4.04 (($true & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))))) = $true) | ~spl0_5), 28.50/4.04 inference(backward_demodulation,[],[f346,f392])). 28.50/4.04 thf(f392,plain,( 28.50/4.04 ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) = $true) | ~spl0_5), 28.50/4.04 inference(binary_proxy_clausification,[],[f346])). 28.50/4.04 thf(f346,plain,( 28.50/4.04 (((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))))) = $true) | ~spl0_5), 28.50/4.04 inference(avatar_component_clause,[],[f345])). 28.50/4.04 thf(f345,plain,( 28.50/4.04 spl0_5 <=> (((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))))) = $true)), 28.50/4.04 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])). 28.50/4.04 thf(f10771,plain,( 28.50/4.04 ((((c @ sK16 @ paris) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16))))))))) & (c @ sK16 @ sK6)) = $true) | (~spl0_13 | ~spl0_81)), 28.50/4.04 inference(boolean_simplification,[],[f10770])). 28.50/4.04 thf(f10770,plain,( 28.50/4.04 ((((c @ sK16 @ paris) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16))))))))) & ((c @ sK16 @ sK6) & $true)) = $true) | (~spl0_13 | ~spl0_81)), 28.50/4.04 inference(forward_demodulation,[],[f10769,f8961])). 28.50/4.04 thf(f10769,plain,( 28.50/4.04 ((((c @ sK16 @ paris) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16))))))))) & ((c @ sK16 @ sK6) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16)))))))))) = $true) | ~spl0_13), 28.50/4.04 inference(beta_eta_normalization,[],[f10768])). 28.50/4.04 thf(f10768,plain,( 28.50/4.04 ($true = ((^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))) @ sK16)) | ~spl0_13), 28.50/4.04 inference(sigma_clausification,[],[f10739])). 28.50/4.04 thf(f10739,plain,( 28.50/4.04 ((?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))))))) = $true) | ~spl0_13), 28.50/4.04 inference(not_proxy_clausification,[],[f854])). 28.50/4.04 thf(f854,plain,( 28.50/4.04 ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) = $false) | ~spl0_13), 28.50/4.04 inference(avatar_component_clause,[],[f853])). 28.50/4.04 thf(f853,plain,( 28.50/4.04 spl0_13 <=> ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) = $false)), 28.50/4.04 introduced(avatar_definition,[new_symbols(naming,[spl0_13])])). 28.50/4.04 thf(f10831,plain,( 28.50/4.04 ((((c @ sK16 @ france) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16))))))))) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16))))))))) = $false) | (~spl0_13 | ~spl0_81)), 28.50/4.04 inference(boolean_simplification,[],[f10816])). 28.50/4.04 thf(f10816,plain,( 28.50/4.04 ((((c @ sK16 @ france) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16))))))))) & ($true & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16)))))))))) = $false) | (~spl0_13 | ~spl0_81)), 28.50/4.04 inference(superposition,[],[f978,f10798])). 28.50/4.04 thf(f10798,plain,( 28.50/4.04 ($true = (c @ sK16 @ sK6)) | (~spl0_13 | ~spl0_81)), 28.50/4.04 inference(binary_proxy_clausification,[],[f10771])). 28.50/4.04 thf(f978,plain,( 28.50/4.04 ( ! [X1 : reg] : (((((c @ X1 @ france) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1))))))))) & ((c @ X1 @ sK6) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1)))))))))) = $false)) )), 28.50/4.04 inference(beta_eta_normalization,[],[f977])). 28.50/4.04 thf(f977,plain,( 28.50/4.04 ( ! [X1 : reg] : ((((^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))) @ X1) = $false)) )), 28.50/4.04 inference(pi_clausification,[],[f964])). 28.50/4.04 thf(f964,plain,( 28.50/4.04 ((?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))))))) = $false)), 28.50/4.04 inference(not_proxy_clausification,[],[f953])). 28.50/4.04 thf(f953,plain,( 28.50/4.04 ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) = $true)), 28.50/4.04 inference(boolean_simplification,[],[f952])). 28.50/4.04 thf(f952,plain,( 28.50/4.04 (((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & $true) = $true)), 28.50/4.04 inference(backward_demodulation,[],[f941,f950])). 28.50/4.04 thf(f11278,plain,( 28.50/4.04 ( ! [X1 : reg] : ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ sK6)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ sK16))))) = $false)) ) | ~spl0_81), 28.50/4.04 inference(beta_eta_normalization,[],[f11273])). 28.50/4.04 thf(f11273,plain,( 28.50/4.04 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16)))))) @ X1) = $false)) ) | ~spl0_81), 28.50/4.04 inference(pi_clausification,[],[f11231])). 28.50/4.04 thf(f11231,plain,( 28.50/4.04 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16))))))) = $false) | ~spl0_81), 28.50/4.04 inference(not_proxy_clausification,[],[f8961])). 28.50/4.04 thf(f21026,plain,( 28.50/4.04 ((c @ sK79 @ france) = $true) | (~spl0_5 | ~spl0_13 | ~spl0_81)), 28.50/4.04 inference(boolean_simplification,[],[f21017])). 28.50/4.04 thf(f21017,plain,( 28.50/4.04 (($true => (c @ sK79 @ france)) = $true) | (~spl0_5 | ~spl0_13 | ~spl0_81)), 28.50/4.04 inference(superposition,[],[f11412,f20772])). 28.50/4.04 thf(f20772,plain,( 28.50/4.04 ($true = (c @ sK79 @ sK30)) | (~spl0_5 | ~spl0_13 | ~spl0_81)), 28.50/4.04 inference(binary_proxy_clausification,[],[f20763])). 28.50/4.04 thf(f11412,plain,( 28.50/4.04 ( ! [X1 : reg] : ((((c @ X1 @ sK30) => (c @ X1 @ france)) = $true)) ) | (~spl0_5 | ~spl0_13 | ~spl0_81)), 28.50/4.04 inference(beta_eta_normalization,[],[f11410])). 28.50/4.04 thf(f11410,plain,( 28.50/4.04 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ sK30) => (c @ Y0 @ france))) @ X1) = $true)) ) | (~spl0_5 | ~spl0_13 | ~spl0_81)), 28.50/4.04 inference(pi_clausification,[],[f11401])). 28.50/4.04 thf(f11401,plain,( 28.50/4.04 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK30) => (c @ Y0 @ france))))) | (~spl0_5 | ~spl0_13 | ~spl0_81)), 28.50/4.04 inference(boolean_simplification,[],[f11400])). 28.50/4.04 thf(f11400,plain,( 28.50/4.04 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK30) => (c @ Y0 @ france)))) & $true) = $true) | (~spl0_5 | ~spl0_13 | ~spl0_81)), 28.50/4.04 inference(backward_demodulation,[],[f11364,f11398])). 28.50/4.04 thf(f10687,plain,( 28.50/4.04 spl0_86 | ~spl0_11 | ~spl0_83), 28.50/4.04 inference(avatar_split_clause,[],[f10670,f9127,f837,f10681])). 28.50/4.04 thf(f10670,plain,( 28.50/4.04 (((c @ sK11 @ catalunya) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))))) = $true) | (~spl0_11 | ~spl0_83)), 28.50/4.04 inference(binary_proxy_clausification,[],[f10660])). 28.50/4.04 thf(f10660,plain,( 28.50/4.04 ($true = (((c @ sK11 @ catalunya) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))))) & (c @ sK11 @ sK6))) | (~spl0_11 | ~spl0_83)), 28.50/4.04 inference(boolean_simplification,[],[f10659])). 28.50/4.04 thf(f10659,plain,( 28.50/4.04 ((((c @ sK11 @ catalunya) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))))) & ((c @ sK11 @ sK6) & $true)) = $true) | (~spl0_11 | ~spl0_83)), 28.50/4.04 inference(backward_demodulation,[],[f10653,f9128])). 28.50/4.04 thf(f10653,plain,( 28.50/4.04 ((((c @ sK11 @ catalunya) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))))) & ((c @ sK11 @ sK6) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))))))))) = $true) | ~spl0_11), 28.50/4.04 inference(beta_eta_normalization,[],[f10652])). 28.50/4.04 thf(f10652,plain,( 28.50/4.04 (((^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))) @ sK11) = $true) | ~spl0_11), 28.50/4.04 inference(sigma_clausification,[],[f10643])). 28.50/4.04 thf(f10643,plain,( 28.50/4.04 ($true = (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) | ~spl0_11), 28.50/4.04 inference(not_proxy_clausification,[],[f838])). 28.50/4.04 thf(f10658,plain,( 28.50/4.04 ~spl0_3 | ~spl0_11 | ~spl0_82), 28.50/4.04 inference(avatar_contradiction_clause,[],[f10657])). 28.50/4.04 thf(f10657,plain,( 28.50/4.04 $false | (~spl0_3 | ~spl0_11 | ~spl0_82)), 28.50/4.04 inference(trivial_inequality_removal,[],[f10656])). 28.50/4.04 thf(f10656,plain,( 28.50/4.04 ($true = $false) | (~spl0_3 | ~spl0_11 | ~spl0_82)), 28.50/4.04 inference(boolean_simplification,[],[f10655])). 28.50/4.04 thf(f10655,plain,( 28.50/4.04 (($false & ((c @ sK11 @ sK6) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))))))))) = $true) | (~spl0_3 | ~spl0_11 | ~spl0_82)), 28.50/4.04 inference(boolean_simplification,[],[f10654])). 28.50/4.04 thf(f10654,plain,( 28.50/4.04 ((($false & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))))) & ((c @ sK11 @ sK6) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))))))))) = $true) | (~spl0_3 | ~spl0_11 | ~spl0_82)), 28.50/4.04 inference(forward_demodulation,[],[f10653,f10640])). 28.50/4.04 thf(f10640,plain,( 28.50/4.04 ((c @ sK11 @ catalunya) = $false) | (~spl0_3 | ~spl0_82)), 28.50/4.04 inference(trivial_inequality_removal,[],[f10628])). 28.50/4.04 thf(f10628,plain,( 28.50/4.04 ((c @ sK11 @ catalunya) = $false) | ($true = $false) | (~spl0_3 | ~spl0_82)), 28.50/4.04 inference(superposition,[],[f316,f9125])). 28.50/4.04 thf(f9125,plain,( 28.50/4.04 ((c @ sK11 @ spain) = $false) | ~spl0_82), 28.50/4.04 inference(avatar_component_clause,[],[f9124])). 28.50/4.04 thf(f9124,plain,( 28.50/4.04 spl0_82 <=> ((c @ sK11 @ spain) = $false)), 28.50/4.04 introduced(avatar_definition,[new_symbols(naming,[spl0_82])])). 28.50/4.04 thf(f316,plain,( 28.50/4.04 ( ! [X1 : reg] : (((c @ X1 @ spain) = $true) | ((c @ X1 @ catalunya) = $false)) ) | ~spl0_3), 28.50/4.04 inference(binary_proxy_clausification,[],[f314])). 28.50/4.04 thf(f9238,plain,( 28.50/4.04 spl0_81 | ~spl0_13), 28.50/4.04 inference(avatar_split_clause,[],[f9237,f853,f8960])). 28.50/4.04 thf(f9237,plain,( 28.50/4.04 ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16)))))))) = $true) | ~spl0_13), 28.50/4.04 inference(boolean_simplification,[],[f9236])). 28.50/4.04 thf(f9236,plain,( 28.50/4.04 (($true & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16))))))))) = $true) | ~spl0_13), 28.50/4.04 inference(backward_demodulation,[],[f9227,f9235])). 28.50/4.04 thf(f9235,plain,( 28.50/4.04 ($true = (c @ sK16 @ sK6)) | ~spl0_13), 28.50/4.04 inference(trivial_inequality_removal,[],[f9228])). 28.50/4.04 thf(f9228,plain,( 28.50/4.04 ($true = $false) | ($true = (c @ sK16 @ sK6)) | ~spl0_13), 28.50/4.04 inference(superposition,[],[f9218,f232])). 28.50/4.04 thf(f232,plain,( 28.50/4.04 ( ! [X2 : reg,X1 : reg] : (((c @ X2 @ X1) = $false) | ((c @ X1 @ X2) = $true)) )), 28.50/4.04 inference(binary_proxy_clausification,[],[f231])). 28.50/4.04 thf(f231,plain,( 28.50/4.04 ( ! [X2 : reg,X1 : reg] : ((((c @ X2 @ X1) => (c @ X1 @ X2)) = $true)) )), 28.50/4.04 inference(beta_eta_normalization,[],[f230])). 28.50/4.04 thf(f230,plain,( 28.50/4.04 ( ! [X2 : reg,X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ X1 @ Y0))) @ X2))) )), 28.50/4.04 inference(pi_clausification,[],[f229])). 28.50/4.04 thf(f229,plain,( 28.50/4.04 ( ! [X1 : reg] : (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ X1 @ Y0)))) = $true)) )), 28.50/4.04 inference(beta_eta_normalization,[],[f228])). 28.50/4.04 thf(f228,plain,( 28.50/4.04 ( ! [X1 : reg] : ((((^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y0 @ Y1))))) @ X1) = $true)) )), 28.50/4.04 inference(pi_clausification,[],[f149])). 28.50/4.04 thf(f149,plain,( 28.50/4.04 ($true = (!! @ reg @ (^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y0 @ Y1)))))))), 28.50/4.04 inference(cnf_transformation,[],[f134])). 28.50/4.04 thf(f134,plain,( 28.50/4.04 ($true = (!! @ reg @ (^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y0 @ Y1)))))))), 28.50/4.04 inference(fool_elimination,[],[f133])). 28.50/4.04 thf(f133,plain,( 28.50/4.04 ! [X0 : reg,X1 : reg] : ((c @ X0 @ X1) => (c @ X1 @ X0))), 28.50/4.04 inference(rectify,[],[f41])). 28.50/4.04 thf(f41,axiom,( 28.50/4.04 ! [X0 : reg,X1 : reg] : ((c @ X0 @ X1) => (c @ X1 @ X0))), 28.50/4.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_symmetric)). 28.50/4.04 thf(f9218,plain,( 28.50/4.04 ((c @ sK6 @ sK16) = $true) | ~spl0_13), 28.50/4.04 inference(trivial_inequality_removal,[],[f9217])). 28.50/4.04 thf(f9217,plain,( 28.50/4.04 ($true = $false) | ((c @ sK6 @ sK16) = $true) | ~spl0_13), 28.50/4.04 inference(boolean_simplification,[],[f9216])). 28.50/4.04 thf(f9216,plain,( 28.50/4.04 ($true = (((c @ sK16 @ paris) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16))))))))) & $false)) | ((c @ sK6 @ sK16) = $true) | ~spl0_13), 28.50/4.04 inference(boolean_simplification,[],[f9213])). 28.50/4.04 thf(f9213,plain,( 28.50/4.04 ((((c @ sK16 @ paris) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16))))))))) & ($false & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16)))))))))) = $true) | ((c @ sK6 @ sK16) = $true) | ~spl0_13), 28.50/4.04 inference(superposition,[],[f9164,f232])). 28.50/4.04 thf(f9164,plain,( 28.50/4.04 ((((c @ sK16 @ paris) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16))))))))) & ((c @ sK16 @ sK6) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16)))))))))) = $true) | ~spl0_13), 28.50/4.04 inference(beta_eta_normalization,[],[f9163])). 28.50/4.04 thf(f9163,plain,( 28.50/4.04 ($true = ((^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))) @ sK16)) | ~spl0_13), 28.50/4.04 inference(sigma_clausification,[],[f9154])). 28.50/4.04 thf(f9154,plain,( 28.50/4.04 ((?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))))))) = $true) | ~spl0_13), 28.50/4.04 inference(not_proxy_clausification,[],[f854])). 28.50/4.04 thf(f9227,plain,( 28.50/4.04 ($true = ((c @ sK16 @ sK6) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16)))))))))) | ~spl0_13), 28.50/4.04 inference(boolean_simplification,[],[f9226])). 28.50/4.04 thf(f9226,plain,( 28.50/4.04 (($true & ((c @ sK16 @ sK6) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16)))))))))) = $true) | ~spl0_13), 28.50/4.04 inference(backward_demodulation,[],[f9164,f9211])). 28.50/4.04 thf(f9211,plain,( 28.50/4.04 (((c @ sK16 @ paris) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK16))))))))) = $true) | ~spl0_13), 28.50/4.04 inference(binary_proxy_clausification,[],[f9164])). 28.50/4.04 thf(f9129,plain,( 28.50/4.04 spl0_82 | spl0_83 | ~spl0_11), 28.50/4.04 inference(avatar_split_clause,[],[f9122,f837,f9127,f9124])). 28.50/4.04 thf(f9122,plain,( 28.50/4.04 ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))))))) = $true) | ((c @ sK11 @ spain) = $false) | ~spl0_11), 28.50/4.04 inference(boolean_simplification,[],[f9121])). 28.50/4.04 thf(f9121,plain,( 28.50/4.04 (($true & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))))) = $true) | ((c @ sK11 @ spain) = $false) | ~spl0_11), 28.50/4.04 inference(forward_demodulation,[],[f9115,f9108])). 28.50/4.04 thf(f9108,plain,( 28.50/4.04 (((c @ sK11 @ catalunya) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))))) = $true) | ~spl0_11), 28.50/4.04 inference(binary_proxy_clausification,[],[f9080])). 28.50/4.04 thf(f9080,plain,( 28.50/4.04 ((((c @ sK11 @ catalunya) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))))) & ((c @ sK11 @ sK6) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))))))))) = $true) | ~spl0_11), 28.50/4.04 inference(beta_eta_normalization,[],[f9079])). 28.50/4.04 thf(f9079,plain,( 28.50/4.04 (((^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))) @ sK11) = $true) | ~spl0_11), 28.50/4.04 inference(sigma_clausification,[],[f9068])). 28.50/4.04 thf(f9068,plain,( 28.50/4.04 ($true = (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) | ~spl0_11), 28.50/4.04 inference(not_proxy_clausification,[],[f838])). 28.50/4.04 thf(f9115,plain,( 28.50/4.04 ((c @ sK11 @ spain) = $false) | ((((c @ sK11 @ catalunya) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))))) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))))) = $true) | ~spl0_11), 28.50/4.04 inference(boolean_simplification,[],[f9109])). 28.50/4.04 thf(f9109,plain,( 28.50/4.04 ($true = (((c @ sK11 @ catalunya) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))))) & ($true & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))))))) | ((c @ sK11 @ spain) = $false) | ~spl0_11), 28.50/4.04 inference(superposition,[],[f9080,f2632])). 28.50/4.04 thf(f9040,plain,( 28.50/4.04 ~spl0_3 | ~spl0_15), 28.50/4.04 inference(avatar_contradiction_clause,[],[f9039])). 28.50/4.04 thf(f9039,plain,( 28.50/4.04 $false | (~spl0_3 | ~spl0_15)), 28.50/4.04 inference(trivial_inequality_removal,[],[f9038])). 28.50/4.04 thf(f9038,plain,( 28.50/4.04 ($true = $false) | (~spl0_3 | ~spl0_15)), 28.50/4.04 inference(forward_demodulation,[],[f9036,f8995])). 28.50/4.04 thf(f8995,plain,( 28.50/4.04 ((c @ sK34 @ spain) = $false) | ~spl0_15), 28.50/4.04 inference(trivial_inequality_removal,[],[f8994])). 28.50/4.04 thf(f8994,plain,( 28.50/4.04 ($true = $false) | ((c @ sK34 @ spain) = $false) | ~spl0_15), 28.50/4.04 inference(boolean_simplification,[],[f8988])). 28.50/4.04 thf(f8988,plain,( 28.50/4.04 ((c @ sK34 @ spain) = $false) | (((c @ sK34 @ catalunya) => $true) = $false) | ~spl0_15), 28.50/4.04 inference(superposition,[],[f8979,f2632])). 28.50/4.04 thf(f8979,plain,( 28.50/4.04 (((c @ sK34 @ catalunya) => (c @ sK34 @ sK6)) = $false) | ~spl0_15), 28.50/4.04 inference(beta_eta_normalization,[],[f8978])). 28.50/4.04 thf(f8978,plain,( 28.50/4.04 (((^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK6))) @ sK34) = $false) | ~spl0_15), 28.50/4.04 inference(sigma_clausification,[],[f872])). 28.50/4.04 thf(f872,plain,( 28.50/4.04 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK6)))) = $false) | ~spl0_15), 28.50/4.04 inference(avatar_component_clause,[],[f871])). 28.50/4.04 thf(f871,plain,( 28.50/4.04 spl0_15 <=> ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK6)))) = $false)), 28.50/4.04 introduced(avatar_definition,[new_symbols(naming,[spl0_15])])). 28.50/4.04 thf(f9036,plain,( 28.50/4.04 ((c @ sK34 @ spain) = $true) | (~spl0_3 | ~spl0_15)), 28.50/4.04 inference(boolean_simplification,[],[f9029])). 28.50/4.04 thf(f9029,plain,( 28.50/4.04 (($true => (c @ sK34 @ spain)) = $true) | (~spl0_3 | ~spl0_15)), 28.50/4.04 inference(superposition,[],[f314,f8987])). 28.50/4.04 thf(f8987,plain,( 28.50/4.04 ((c @ sK34 @ catalunya) = $true) | ~spl0_15), 28.50/4.04 inference(binary_proxy_clausification,[],[f8979])). 28.50/4.04 thf(f4596,plain,( 28.50/4.04 ~spl0_5 | ~spl0_25), 28.50/4.04 inference(avatar_contradiction_clause,[],[f4595])). 28.50/4.04 thf(f4595,plain,( 28.50/4.04 $false | (~spl0_5 | ~spl0_25)), 28.50/4.04 inference(trivial_inequality_removal,[],[f4594])). 28.50/4.04 thf(f4594,plain,( 28.50/4.04 ($true = $false) | (~spl0_5 | ~spl0_25)), 28.50/4.04 inference(boolean_simplification,[],[f4593])). 28.50/4.04 thf(f4593,plain,( 28.50/4.04 ((~ $true) = $true) | (~spl0_5 | ~spl0_25)), 28.50/4.04 inference(forward_demodulation,[],[f4589,f4569])). 28.50/4.04 thf(f4569,plain,( 28.50/4.04 ($true = (c @ sK33 @ france)) | (~spl0_5 | ~spl0_25)), 28.50/4.04 inference(trivial_inequality_removal,[],[f4568])). 28.50/4.04 thf(f4568,plain,( 28.50/4.04 ($true = $false) | ($true = (c @ sK33 @ france)) | (~spl0_5 | ~spl0_25)), 28.50/4.04 inference(boolean_simplification,[],[f4565])). 28.50/4.04 thf(f4565,plain,( 28.50/4.04 (($false => (c @ sK33 @ sK6)) = $false) | ($true = (c @ sK33 @ france)) | (~spl0_5 | ~spl0_25)), 28.50/4.04 inference(superposition,[],[f4551,f416])). 28.50/4.04 thf(f4551,plain,( 28.50/4.04 ($false = ((c @ sK33 @ paris) => (c @ sK33 @ sK6))) | ~spl0_25), 28.50/4.04 inference(beta_eta_normalization,[],[f4550])). 28.50/4.04 thf(f4550,plain,( 28.50/4.04 (((^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK6))) @ sK33) = $false) | ~spl0_25), 28.50/4.04 inference(sigma_clausification,[],[f1835])). 28.50/4.04 thf(f1835,plain,( 28.50/4.04 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK6)))) = $false) | ~spl0_25), 28.50/4.04 inference(avatar_component_clause,[],[f1834])). 28.50/4.04 thf(f1834,plain,( 28.50/4.04 spl0_25 <=> ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK6)))) = $false)), 28.50/4.04 introduced(avatar_definition,[new_symbols(naming,[spl0_25])])). 28.50/4.04 thf(f4589,plain,( 28.50/4.04 ((~ (c @ sK33 @ france)) = $true) | ~spl0_25), 28.50/4.04 inference(boolean_simplification,[],[f4581])). 28.50/4.04 thf(f4581,plain,( 28.50/4.04 ($true = ((c @ sK33 @ france) => $false)) | ~spl0_25), 28.50/4.04 inference(superposition,[],[f1308,f4562])). 28.50/4.04 thf(f4562,plain,( 28.50/4.04 ((c @ sK33 @ sK6) = $false) | ~spl0_25), 28.50/4.04 inference(binary_proxy_clausification,[],[f4551])). 28.50/4.04 thf(f1943,plain,( 28.50/4.04 ~spl0_5 | ~spl0_24), 28.50/4.04 inference(avatar_contradiction_clause,[],[f1942])). 28.50/4.04 thf(f1942,plain,( 28.50/4.04 $false | (~spl0_5 | ~spl0_24)), 28.50/4.04 inference(trivial_inequality_removal,[],[f1941])). 28.50/4.04 thf(f1941,plain,( 28.50/4.04 ($true = $false) | (~spl0_5 | ~spl0_24)), 28.50/4.04 inference(boolean_simplification,[],[f1940])). 28.50/4.04 thf(f1940,plain,( 28.50/4.04 ((~ $true) = $true) | (~spl0_5 | ~spl0_24)), 28.50/4.04 inference(forward_demodulation,[],[f1914,f1118])). 28.50/4.04 thf(f1118,plain,( 28.50/4.04 ((c @ sK13 @ sK6) = $true)), 28.50/4.04 inference(binary_proxy_clausification,[],[f1105])). 28.50/4.04 thf(f1105,plain,( 28.50/4.04 (((c @ sK13 @ sK6) => (c @ sK13 @ france)) = $false)), 28.50/4.04 inference(beta_eta_normalization,[],[f1103])). 28.50/4.04 thf(f1103,plain,( 28.50/4.04 (((^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ france))) @ sK13) = $false)), 28.50/4.04 inference(sigma_clausification,[],[f1092])). 28.50/4.04 thf(f1092,plain,( 28.50/4.04 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ france)))) = $false)), 28.50/4.04 inference(not_proxy_clausification,[],[f1067])). 28.50/4.04 thf(f1067,plain,( 28.50/4.04 ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ france))))) = $true)), 28.50/4.04 inference(boolean_simplification,[],[f1066])). 28.50/4.04 thf(f1066,plain,( 28.50/4.04 (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ france))))) & $true) = $true)), 28.50/4.04 inference(backward_demodulation,[],[f950,f1064])). 28.50/4.04 thf(f1914,plain,( 28.50/4.04 ((~ (c @ sK13 @ sK6)) = $true) | (~spl0_5 | ~spl0_24)), 28.50/4.04 inference(boolean_simplification,[],[f1901])). 28.50/4.04 thf(f1901,plain,( 28.50/4.04 (((c @ sK13 @ sK6) => $false) = $true) | (~spl0_5 | ~spl0_24)), 28.50/4.04 inference(superposition,[],[f1882,f1203])). 28.50/4.04 thf(f1203,plain,( 28.50/4.04 ((c @ sK13 @ paris) = $false) | ~spl0_5), 28.50/4.04 inference(not_proxy_clausification,[],[f1139])). 28.50/4.04 thf(f1139,plain,( 28.50/4.04 ($true = (~ (c @ sK13 @ paris))) | ~spl0_5), 28.50/4.04 inference(boolean_simplification,[],[f1130])). 28.50/4.04 thf(f1130,plain,( 28.50/4.04 (((c @ sK13 @ paris) => $false) = $true) | ~spl0_5), 28.50/4.04 inference(superposition,[],[f411,f1125])). 28.50/4.04 thf(f1125,plain,( 28.50/4.04 ((c @ sK13 @ france) = $false)), 28.50/4.04 inference(boolean_simplification,[],[f1124])). 28.50/4.04 thf(f1124,plain,( 28.50/4.04 (($true => (c @ sK13 @ france)) = $false)), 28.50/4.04 inference(backward_demodulation,[],[f1105,f1118])). 28.50/4.04 thf(f1882,plain,( 28.50/4.04 ( ! [X1 : reg] : ((((c @ X1 @ sK6) => (c @ X1 @ paris)) = $true)) ) | ~spl0_24), 28.50/4.04 inference(beta_eta_normalization,[],[f1881])). 28.50/4.04 thf(f1881,plain,( 28.50/4.04 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ paris))) @ X1) = $true)) ) | ~spl0_24), 28.50/4.04 inference(pi_clausification,[],[f1860])). 28.50/4.04 thf(f1860,plain,( 28.50/4.04 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ paris)))) = $true) | ~spl0_24), 28.50/4.04 inference(not_proxy_clausification,[],[f1832])). 28.50/4.04 thf(f1832,plain,( 28.50/4.04 ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ paris))))) = $false) | ~spl0_24), 28.50/4.04 inference(avatar_component_clause,[],[f1831])). 28.50/4.04 thf(f1831,plain,( 28.50/4.04 spl0_24 <=> ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ paris))))) = $false)), 28.50/4.04 introduced(avatar_definition,[new_symbols(naming,[spl0_24])])). 28.50/4.04 thf(f1836,plain,( 28.50/4.04 spl0_24 | spl0_25 | ~spl0_12), 28.50/4.04 inference(avatar_split_clause,[],[f1829,f850,f1834,f1831])). 28.50/4.04 thf(f850,plain,( 28.50/4.04 spl0_12 <=> (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK6))))) = $false)), 28.50/4.04 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])). 28.50/4.04 thf(f1829,plain,( 28.50/4.04 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK6)))) = $false) | ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ paris))))) = $false) | ~spl0_12), 28.50/4.04 inference(binary_proxy_clausification,[],[f851])). 28.50/4.04 thf(f851,plain,( 28.50/4.04 (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK6))))) = $false) | ~spl0_12), 28.50/4.04 inference(avatar_component_clause,[],[f850])). 28.50/4.04 thf(f1815,plain,( 28.50/4.04 ~spl0_2 | ~spl0_3 | ~spl0_5 | ~spl0_14), 28.50/4.04 inference(avatar_contradiction_clause,[],[f1814])). 28.50/4.04 thf(f1814,plain,( 28.50/4.04 $false | (~spl0_2 | ~spl0_3 | ~spl0_5 | ~spl0_14)), 28.50/4.04 inference(trivial_inequality_removal,[],[f1813])). 28.50/4.04 thf(f1813,plain,( 28.50/4.04 ($true = $false) | (~spl0_2 | ~spl0_3 | ~spl0_5 | ~spl0_14)), 28.50/4.04 inference(forward_demodulation,[],[f1798,f1497])). 28.50/4.04 thf(f1497,plain,( 28.50/4.04 ((c @ sK7 @ catalunya) = $false) | (~spl0_2 | ~spl0_3 | ~spl0_5)), 28.50/4.04 inference(trivial_inequality_removal,[],[f1496])). 28.50/4.04 thf(f1496,plain,( 28.50/4.04 ($true = $false) | ((c @ sK7 @ catalunya) = $false) | (~spl0_2 | ~spl0_3 | ~spl0_5)), 28.50/4.04 inference(boolean_simplification,[],[f1491])). 28.50/4.04 thf(f1491,plain,( 28.50/4.04 (((c @ sK7 @ paris) => $true) = $false) | ((c @ sK7 @ catalunya) = $false) | (~spl0_2 | ~spl0_3 | ~spl0_5)), 28.50/4.04 inference(superposition,[],[f1477,f316])). 28.50/4.04 thf(f1477,plain,( 28.50/4.04 (((c @ sK7 @ paris) => (c @ sK7 @ spain)) = $false) | (~spl0_2 | ~spl0_5)), 28.50/4.04 inference(beta_eta_normalization,[],[f1473])). 28.50/4.04 thf(f1473,plain,( 28.50/4.04 (((^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ spain))) @ sK7) = $false) | (~spl0_2 | ~spl0_5)), 28.50/4.04 inference(sigma_clausification,[],[f1412])). 28.50/4.04 thf(f1412,plain,( 28.50/4.04 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ spain)))) = $false) | (~spl0_2 | ~spl0_5)), 28.50/4.04 inference(boolean_simplification,[],[f1408])). 28.50/4.04 thf(f1408,plain,( 28.50/4.04 (($true & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ spain))))) = $false) | (~spl0_2 | ~spl0_5)), 28.50/4.04 inference(superposition,[],[f1368,f404])). 28.50/4.04 thf(f1368,plain,( 28.50/4.04 ( ! [X1 : reg] : ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ france)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ spain))))) = $false)) ) | ~spl0_2), 28.50/4.04 inference(beta_eta_normalization,[],[f1365])). 28.50/4.04 thf(f1365,plain,( 28.50/4.04 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))) @ X1) = $false)) ) | ~spl0_2), 28.50/4.04 inference(pi_clausification,[],[f1342])). 28.50/4.04 thf(f1342,plain,( 28.50/4.04 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain))))))) = $false) | ~spl0_2), 28.50/4.04 inference(not_proxy_clausification,[],[f1319])). 28.50/4.04 thf(f1319,plain,( 28.50/4.04 ($true = (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain))))))))) | ~spl0_2), 28.50/4.04 inference(boolean_simplification,[],[f1318])). 28.50/4.04 thf(f1318,plain,( 28.50/4.04 ($true = ($true & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))))))) | ~spl0_2), 28.50/4.04 inference(backward_demodulation,[],[f262,f1310])). 28.50/4.04 thf(f1310,plain,( 28.50/4.04 ((c @ spain @ france) = $true) | ~spl0_2), 28.50/4.04 inference(binary_proxy_clausification,[],[f262])). 28.50/4.04 thf(f262,plain,( 28.50/4.04 (((c @ spain @ france) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain))))))))) = $true) | ~spl0_2), 28.50/4.04 inference(avatar_component_clause,[],[f261])). 28.50/4.04 thf(f261,plain,( 28.50/4.04 spl0_2 <=> (((c @ spain @ france) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain))))))))) = $true)), 28.50/4.04 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])). 28.50/4.04 thf(f1798,plain,( 28.50/4.04 ((c @ sK7 @ catalunya) = $true) | (~spl0_2 | ~spl0_5 | ~spl0_14)), 28.50/4.04 inference(boolean_simplification,[],[f1788])). 28.50/4.04 thf(f1788,plain,( 28.50/4.04 (($true => (c @ sK7 @ catalunya)) = $true) | (~spl0_2 | ~spl0_5 | ~spl0_14)), 28.50/4.04 inference(superposition,[],[f1767,f1600])). 28.50/4.04 thf(f1600,plain,( 28.50/4.04 ((c @ sK7 @ sK6) = $true) | (~spl0_2 | ~spl0_5)), 28.50/4.04 inference(boolean_simplification,[],[f1592])). 28.50/4.04 thf(f1592,plain,( 28.50/4.04 (($true => (c @ sK7 @ sK6)) = $true) | (~spl0_2 | ~spl0_5)), 28.50/4.04 inference(superposition,[],[f1308,f1537])). 28.50/4.04 thf(f1537,plain,( 28.50/4.04 ((c @ sK7 @ france) = $true) | (~spl0_2 | ~spl0_5)), 28.50/4.04 inference(boolean_simplification,[],[f1532])). 28.50/4.04 thf(f1532,plain,( 28.50/4.04 ($true = ($true => (c @ sK7 @ france))) | (~spl0_2 | ~spl0_5)), 28.50/4.04 inference(superposition,[],[f411,f1490])). 28.50/4.04 thf(f1490,plain,( 28.50/4.04 ((c @ sK7 @ paris) = $true) | (~spl0_2 | ~spl0_5)), 28.50/4.04 inference(binary_proxy_clausification,[],[f1477])). 28.50/4.04 thf(f1767,plain,( 28.50/4.04 ( ! [X1 : reg] : ((((c @ X1 @ sK6) => (c @ X1 @ catalunya)) = $true)) ) | ~spl0_14), 28.50/4.04 inference(beta_eta_normalization,[],[f1764])). 28.50/4.04 thf(f1764,plain,( 28.50/4.04 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ catalunya))) @ X1) = $true)) ) | ~spl0_14), 28.50/4.04 inference(pi_clausification,[],[f1751])). 28.50/4.04 thf(f1751,plain,( 28.50/4.04 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ catalunya)))) = $true) | ~spl0_14), 28.50/4.04 inference(not_proxy_clausification,[],[f869])). 28.50/4.04 thf(f869,plain,( 28.50/4.04 ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ catalunya))))) = $false) | ~spl0_14), 28.50/4.04 inference(avatar_component_clause,[],[f868])). 28.50/4.04 thf(f868,plain,( 28.50/4.04 spl0_14 <=> ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ catalunya))))) = $false)), 28.50/4.04 introduced(avatar_definition,[new_symbols(naming,[spl0_14])])). 28.50/4.04 thf(f1300,plain,( 28.50/4.04 ~spl0_1), 28.50/4.04 inference(avatar_contradiction_clause,[],[f1299])). 28.50/4.04 thf(f1299,plain,( 28.50/4.04 $false | ~spl0_1), 28.50/4.04 inference(trivial_inequality_removal,[],[f1298])). 28.50/4.04 thf(f1298,plain,( 28.50/4.04 ($true = $false) | ~spl0_1), 28.50/4.04 inference(boolean_simplification,[],[f1297])). 28.50/4.04 thf(f1297,plain,( 28.50/4.04 ((~ $false) = $false) | ~spl0_1), 28.50/4.04 inference(forward_demodulation,[],[f1296,f1254])). 28.50/4.04 thf(f1254,plain,( 28.50/4.04 ( ! [X2 : $i,X1 : $i] : (((fool @ X1 @ X2) = $false)) ) | ~spl0_1), 28.50/4.04 inference(not_proxy_clausification,[],[f259])). 28.50/4.04 thf(f259,plain,( 28.50/4.04 ( ! [X2 : $i,X1 : $i] : (((~ (fool @ X1 @ X2)) = $true)) ) | ~spl0_1), 28.50/4.04 inference(avatar_component_clause,[],[f258])). 28.50/4.04 thf(f258,plain,( 28.50/4.04 spl0_1 <=> ! [X2,X1] : ((~ (fool @ X1 @ X2)) = $true)), 28.50/4.04 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])). 28.50/4.04 thf(f1296,plain,( 28.50/4.04 ( ! [X0 : $i,X1 : $i] : (((~ (fool @ X1 @ (sK14 @ X1 @ X0))) = $false)) ) | ~spl0_1), 28.50/4.04 inference(boolean_simplification,[],[f1295])). 28.50/4.04 thf(f1295,plain,( 28.50/4.04 ( ! [X0 : $i,X1 : $i] : ((($false | (~ (fool @ X1 @ (sK14 @ X1 @ X0)))) = $false)) ) | ~spl0_1), 28.50/4.04 inference(forward_demodulation,[],[f1292,f1254])). 28.50/4.04 thf(f1292,plain,( 28.50/4.04 ( ! [X0 : $i,X1 : $i] : ((((fool @ X0 @ (sK14 @ X1 @ X0)) | (~ (fool @ X1 @ (sK14 @ X1 @ X0)))) = $false)) ) | ~spl0_1), 28.50/4.04 inference(beta_eta_normalization,[],[f1284])). 28.50/4.04 thf(f1284,plain,( 28.50/4.04 ( ! [X0 : $i,X1 : $i] : ((((^[Y0 : $i]: ((fool @ X0 @ Y0) | (~ (fool @ X1 @ Y0)))) @ (sK14 @ X1 @ X0)) = $false)) ) | ~spl0_1), 28.50/4.04 inference(sigma_clausification,[],[f1269])). 28.50/4.04 thf(f1269,plain,( 28.50/4.04 ( ! [X0 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((fool @ X0 @ Y0) | (~ (fool @ X1 @ Y0))))) = $false)) ) | ~spl0_1), 28.50/4.04 inference(not_proxy_clausification,[],[f1258])). 28.50/4.04 thf(f1258,plain,( 28.50/4.04 ( ! [X0 : $i,X1 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((fool @ X0 @ Y0) | (~ (fool @ X1 @ Y0)))))) = $true)) ) | ~spl0_1), 28.50/4.04 inference(boolean_simplification,[],[f1257])). 28.50/4.04 thf(f1257,plain,( 28.50/4.04 ( ! [X0 : $i,X1 : $i] : (($true = ($false | (~ (!! @ $i @ (^[Y0 : $i]: ((fool @ X0 @ Y0) | (~ (fool @ X1 @ Y0))))))))) ) | ~spl0_1), 28.50/4.04 inference(superposition,[],[f240,f1254])). 28.50/4.04 thf(f240,plain,( 28.50/4.04 ( ! [X2 : $i > $o,X1 : $i] : ((((X2 @ X1) | (~ (!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) | (~ (fool @ X1 @ Y0))))))) = $true)) )), 28.50/4.04 inference(beta_eta_normalization,[],[f239])). 28.50/4.04 thf(f239,plain,( 28.50/4.04 ( ! [X2 : $i > $o,X1 : $i] : ((((^[Y0 : $i > $o]: ((Y0 @ X1) | (~ (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (fool @ X1 @ Y1)))))))) @ X2) = $true)) )), 28.50/4.04 inference(pi_clausification,[],[f238])). 28.50/4.04 thf(f238,plain,( 28.50/4.04 ( ! [X1 : $i] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ X1) | (~ (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (fool @ X1 @ Y1))))))))) = $true)) )), 28.50/4.04 inference(beta_eta_normalization,[],[f237])). 28.50/4.04 thf(f237,plain,( 28.50/4.04 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) | (~ (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) | (~ (fool @ Y0 @ Y2)))))))))) @ X1) = $true)) )), 28.50/4.04 inference(pi_clausification,[],[f224])). 28.50/4.04 thf(f224,plain,( 28.50/4.04 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) | (~ (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) | (~ (fool @ Y0 @ Y2))))))))))) = $true)), 28.50/4.04 inference(beta_eta_normalization,[],[f215])). 28.50/4.04 thf(f215,plain,( 28.50/4.04 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y4 @ Y5) | (Y3 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (Y1 @ Y3 @ Y4)))))))))) @ fool @ Y0) @ Y0)))) = $true)), 28.50/4.04 inference(definition_unfolding,[],[f172,f148,f176,f197,f182])). 28.50/4.04 thf(f197,plain,( 28.50/4.04 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))), 28.50/4.04 inference(definition_unfolding,[],[f194,f168,f170])). 28.50/4.04 thf(f170,plain,( 28.50/4.04 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))), 28.50/4.04 inference(cnf_transformation,[],[f53])). 28.50/4.04 thf(f53,plain,( 28.50/4.04 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))), 28.50/4.04 inference(fool_elimination,[],[f52])). 28.50/4.04 thf(f52,plain,( 28.50/4.04 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)), 28.50/4.04 inference(rectify,[],[f3])). 28.50/4.04 thf(f3,axiom,( 28.50/4.04 ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)), 28.50/4.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)). 28.50/4.04 thf(f168,plain,( 28.50/4.04 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))), 28.50/4.04 inference(cnf_transformation,[],[f98])). 28.50/4.04 thf(f98,plain,( 28.50/4.04 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))), 28.50/4.04 inference(fool_elimination,[],[f97])). 28.50/4.04 thf(f97,plain,( 28.50/4.04 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))) = mor)), 28.50/4.04 inference(rectify,[],[f4])). 28.50/4.04 thf(f4,axiom,( 28.50/4.04 ((^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) | (X4 @ X2))) = mor)), 28.50/4.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)). 28.50/4.04 thf(f194,plain,( 28.50/4.04 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))), 28.50/4.04 inference(cnf_transformation,[],[f90])). 28.50/4.04 thf(f90,plain,( 28.50/4.04 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))), 28.50/4.04 inference(fool_elimination,[],[f89])). 28.50/4.04 thf(f89,plain,( 28.50/4.04 (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))), 28.50/4.04 inference(rectify,[],[f6])). 28.50/4.04 thf(f6,axiom,( 28.50/4.04 (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))), 28.50/4.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies)). 28.50/4.04 thf(f176,plain,( 28.50/4.04 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))), 28.50/4.04 inference(cnf_transformation,[],[f57])). 28.50/4.04 thf(f57,plain,( 28.50/4.04 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))), 28.50/4.04 inference(fool_elimination,[],[f56])). 28.50/4.04 thf(f56,plain,( 28.50/4.04 ((^[X0 : ($i > $o) > $i > $o, X1 : $i] : (! [X2 : $i > $o] : (X0 @ X2 @ X1))) = mforall_prop)), 28.50/4.04 inference(rectify,[],[f11])). 28.50/4.04 thf(f11,axiom,( 28.50/4.04 ((^[X3 : ($i > $o) > $i > $o, X2 : $i] : (! [X5 : $i > $o] : (X3 @ X5 @ X2))) = mforall_prop)), 28.50/4.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_prop)). 28.50/4.04 thf(f172,plain,( 28.50/4.04 ($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ fool @ Y0) @ Y0)))))), 28.50/4.04 inference(cnf_transformation,[],[f65])). 28.50/4.04 thf(f65,plain,( 28.50/4.04 ($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ fool @ Y0) @ Y0)))))), 28.50/4.04 inference(fool_elimination,[],[f64])). 28.50/4.04 thf(f64,plain,( 28.50/4.04 (mvalid @ (mforall_prop @ (^[X0 : $i > $o] : (mimplies @ (mbox @ fool @ X0) @ X0))))), 28.50/4.04 inference(rectify,[],[f50])). 28.50/4.04 thf(f50,axiom,( 28.50/4.04 (mvalid @ (mforall_prop @ (^[X12 : $i > $o] : (mimplies @ (mbox @ fool @ X12) @ X12))))), 28.50/4.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_axiom_for_fool)). 28.50/4.04 thf(f873,plain,( 28.50/4.04 spl0_14 | spl0_15 | ~spl0_10), 28.50/4.04 inference(avatar_split_clause,[],[f866,f834,f871,f868])). 28.50/4.04 thf(f834,plain,( 28.50/4.04 spl0_10 <=> (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK6))))) = $false)), 28.50/4.04 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])). 28.50/4.04 thf(f866,plain,( 28.50/4.04 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK6)))) = $false) | ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ catalunya))))) = $false) | ~spl0_10), 28.50/4.04 inference(binary_proxy_clausification,[],[f835])). 28.50/4.04 thf(f835,plain,( 28.50/4.04 (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK6))))) = $false) | ~spl0_10), 28.50/4.04 inference(avatar_component_clause,[],[f834])). 28.50/4.04 thf(f855,plain,( 28.50/4.04 spl0_12 | spl0_13 | ~spl0_9), 28.50/4.04 inference(avatar_split_clause,[],[f848,f822,f853,f850])). 28.50/4.04 thf(f822,plain,( 28.50/4.04 spl0_9 <=> (((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK6)))))) = $false)), 28.50/4.04 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])). 28.50/4.04 thf(f848,plain,( 28.50/4.04 ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) = $false) | (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK6))))) = $false) | ~spl0_9), 28.50/4.04 inference(binary_proxy_clausification,[],[f823])). 28.50/4.04 thf(f823,plain,( 28.50/4.04 (((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK6)))))) = $false) | ~spl0_9), 28.50/4.04 inference(avatar_component_clause,[],[f822])). 28.50/4.04 thf(f839,plain,( 28.50/4.04 spl0_10 | spl0_11 | ~spl0_8), 28.50/4.04 inference(avatar_split_clause,[],[f832,f819,f837,f834])). 28.50/4.04 thf(f819,plain,( 28.50/4.04 spl0_8 <=> (((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK6)))))) = $false)), 28.50/4.04 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])). 28.50/4.04 thf(f832,plain,( 28.50/4.04 (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK6))))) = $false) | ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) = $false) | ~spl0_8), 28.50/4.04 inference(binary_proxy_clausification,[],[f820])). 28.50/4.04 thf(f820,plain,( 28.50/4.04 (((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK6)))))) = $false) | ~spl0_8), 28.50/4.04 inference(avatar_component_clause,[],[f819])). 28.50/4.04 thf(f824,plain,( 28.50/4.04 spl0_8 | spl0_9), 28.50/4.04 inference(avatar_split_clause,[],[f817,f822,f819])). 28.50/4.04 thf(f817,plain,( 28.50/4.04 (((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK6)))))) = $false) | (((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK6)))))) = $false)), 28.50/4.04 inference(binary_proxy_clausification,[],[f461])). 28.50/4.04 thf(f461,plain,( 28.50/4.04 ((((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK6)))))) & ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ sK6) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK6))))))) = $false)), 28.50/4.04 inference(binary_proxy_clausification,[],[f457])). 28.50/4.04 thf(f382,plain,( 28.50/4.04 ~spl0_4), 28.50/4.04 inference(avatar_contradiction_clause,[],[f381])). 28.50/4.04 thf(f381,plain,( 28.50/4.04 $false | ~spl0_4), 28.50/4.04 inference(trivial_inequality_removal,[],[f380])). 28.50/4.04 thf(f380,plain,( 28.50/4.04 ($true = $false) | ~spl0_4), 28.50/4.04 inference(boolean_simplification,[],[f379])). 28.50/4.04 thf(f379,plain,( 28.50/4.04 (((!! @ reg @ (^[Y0 : reg]: ((((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ Y0)))))) & ((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ spain) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ Y0))))))) => (((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ paris) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ Y0)))))) & ((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ catalunya) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ Y0)))))))))) | $true) = $false) | ~spl0_4), 28.50/4.04 inference(boolean_simplification,[],[f378])). 28.50/4.04 thf(f378,plain,( 28.50/4.04 (((!! @ reg @ (^[Y0 : reg]: ((((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ Y0)))))) & ((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ spain) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ Y0))))))) => (((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ paris) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ Y0)))))) & ((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ catalunya) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ Y0)))))))))) | (~ $false)) = $false) | ~spl0_4), 28.50/4.04 inference(forward_demodulation,[],[f377,f350])). 28.50/4.04 thf(f350,plain,( 28.50/4.04 ( ! [X2 : $i,X1 : $i] : (((a @ X1 @ X2) = $false)) ) | ~spl0_4), 28.50/4.04 inference(not_proxy_clausification,[],[f298])). 28.50/4.04 thf(f298,plain,( 28.50/4.04 ( ! [X2 : $i,X1 : $i] : (((~ (a @ X1 @ X2)) = $true)) ) | ~spl0_4), 28.50/4.04 inference(avatar_component_clause,[],[f297])). 28.50/4.04 thf(f297,plain,( 28.50/4.04 spl0_4 <=> ! [X2,X1] : ((~ (a @ X1 @ X2)) = $true)), 28.50/4.04 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])). 28.50/4.04 thf(f347,plain,( 28.50/4.04 spl0_4 | spl0_5), 28.50/4.04 inference(avatar_split_clause,[],[f343,f345,f297])). 28.50/4.04 thf(f343,plain,( 28.50/4.04 ( ! [X2 : $i,X1 : $i] : (((~ (a @ X1 @ X2)) = $true) | (((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))))) = $true)) )), 28.50/4.04 inference(binary_proxy_clausification,[],[f338])). 28.50/4.04 thf(f338,plain,( 28.50/4.04 ( ! [X2 : $i,X1 : $i] : (((((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))))) | (~ (a @ X1 @ X2))) = $true)) )), 28.50/4.04 inference(beta_eta_normalization,[],[f337])). 28.50/4.04 thf(f337,plain,( 28.50/4.04 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ paris) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))))) | (~ (a @ X1 @ Y0)))) @ X2))) )), 28.50/4.04 inference(pi_clausification,[],[f330])). 28.50/4.04 thf(f330,plain,( 28.50/4.04 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ paris) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))))) | (~ (a @ X1 @ Y0))))) = $true)) )), 28.50/4.04 inference(beta_eta_normalization,[],[f329])). 28.50/4.04 thf(f329,plain,( 28.50/4.04 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ paris) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))) & ((c @ Y2 @ france) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))))))) & ((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))))) | (~ (a @ Y0 @ Y1)))))) @ X1) = $true)) )), 28.50/4.04 inference(pi_clausification,[],[f223])). 28.50/4.04 thf(f223,plain,( 28.50/4.04 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ paris) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))) & ((c @ Y2 @ france) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))))))) & ((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))))) | (~ (a @ Y0 @ Y1))))))))), 28.50/4.04 inference(beta_eta_normalization,[],[f217])). 28.50/4.04 thf(f217,plain,( 28.50/4.04 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((~ (?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)))))) @ Y3 @ Y1) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)))))) @ Y3 @ Y2))))) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4))))) @ Y1 @ Y2))))) @ paris @ france)))) = $true)), 28.50/4.04 inference(definition_unfolding,[],[f185,f148,f182,f211])). 28.50/4.04 thf(f185,plain,( 28.50/4.04 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))) = $true)), 28.50/4.04 inference(cnf_transformation,[],[f136])). 28.50/4.04 thf(f136,plain,( 28.50/4.04 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))) = $true)), 28.50/4.04 inference(fool_elimination,[],[f135])). 28.50/4.04 thf(f135,plain,( 28.50/4.04 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))), 28.50/4.04 inference(rectify,[],[f45])). 28.50/4.04 thf(f45,axiom,( 28.50/4.04 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))), 28.50/4.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)). 28.50/4.04 thf(f299,plain,( 28.50/4.04 spl0_3 | spl0_4), 28.50/4.04 inference(avatar_split_clause,[],[f292,f297,f294])). 28.50/4.04 thf(f292,plain,( 28.50/4.04 ( ! [X2 : $i,X1 : $i] : ((((?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))))) = $true) | ((~ (a @ X1 @ X2)) = $true)) )), 28.50/4.04 inference(binary_proxy_clausification,[],[f291])). 28.50/4.04 thf(f291,plain,( 28.50/4.04 ( ! [X2 : $i,X1 : $i] : (($true = (((?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))))) | (~ (a @ X1 @ X2))))) )), 28.50/4.04 inference(beta_eta_normalization,[],[f290])). 28.50/4.04 thf(f290,plain,( 28.50/4.04 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (((?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ catalunya) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ spain) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))))) | (~ (a @ X1 @ Y0)))) @ X2) = $true)) )), 28.50/4.04 inference(pi_clausification,[],[f289])). 28.50/4.04 thf(f289,plain,( 28.50/4.04 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ catalunya) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ spain) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))))) | (~ (a @ X1 @ Y0))))) = $true)) )), 28.50/4.04 inference(beta_eta_normalization,[],[f288])). 28.50/4.04 thf(f288,plain,( 28.50/4.04 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ catalunya) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))) & ((c @ Y2 @ spain) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))))))) & ((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))))) | (~ (a @ Y0 @ Y1)))))) @ X1) = $true)) )), 28.50/4.04 inference(pi_clausification,[],[f222])). 28.50/4.04 thf(f222,plain,( 28.50/4.04 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ catalunya) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))) & ((c @ Y2 @ spain) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))))))) & ((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))))) | (~ (a @ Y0 @ Y1))))))) = $true)), 28.50/4.04 inference(beta_eta_normalization,[],[f212])). 28.50/4.04 thf(f212,plain,( 28.50/4.04 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)))))) @ Y3 @ Y1) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)))))) @ Y3 @ Y2)))) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4))))) @ Y1 @ Y2))))) @ catalunya @ spain)))) = $true)), 28.50/4.04 inference(definition_unfolding,[],[f154,f148,f182,f210])). 28.50/4.04 thf(f210,plain,( 28.50/4.04 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)))))) @ Y2 @ Y1)))) & ((^[Y2 : reg]: ((^[Y3 : reg]: ((~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)) & ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3))))) @ Y0 @ Y1))))))), 28.50/4.04 inference(definition_unfolding,[],[f150,f208,f208,f209])). 28.50/4.04 thf(f150,plain,( 28.50/4.04 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1)))) & (pp @ Y0 @ Y1))))))), 28.50/4.04 inference(cnf_transformation,[],[f94])). 28.50/4.04 thf(f94,plain,( 28.50/4.04 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1)))) & (pp @ Y0 @ Y1))))))), 28.50/4.04 inference(fool_elimination,[],[f93])). 28.50/4.04 thf(f93,plain,( 28.50/4.04 (tpp = (^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)))))), 28.50/4.04 inference(rectify,[],[f39])). 28.50/4.04 thf(f39,axiom,( 28.50/4.04 (tpp = (^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ? [X11 : reg] : ((ec @ X11 @ X1) & (ec @ X11 @ X0)))))), 28.50/4.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tpp)). 28.50/4.04 thf(f154,plain,( 28.50/4.04 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))) = $true)), 28.50/4.04 inference(cnf_transformation,[],[f100])). 28.50/4.04 thf(f100,plain,( 28.50/4.04 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))) = $true)), 28.50/4.04 inference(fool_elimination,[],[f99])). 28.50/4.04 thf(f99,plain,( 28.50/4.04 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))), 28.50/4.04 inference(rectify,[],[f49])). 28.50/4.04 thf(f49,axiom,( 28.50/4.04 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))), 28.50/4.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)). 28.50/4.04 thf(f263,plain,( 28.50/4.04 spl0_1 | spl0_2), 28.50/4.04 inference(avatar_split_clause,[],[f256,f261,f258])). 28.50/4.04 thf(f256,plain,( 28.50/4.04 ( ! [X2 : $i,X1 : $i] : ((((c @ spain @ france) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain))))))))) = $true) | ((~ (fool @ X1 @ X2)) = $true)) )), 28.50/4.04 inference(binary_proxy_clausification,[],[f255])). 28.50/4.04 thf(f255,plain,( 28.50/4.04 ( ! [X2 : $i,X1 : $i] : (((((c @ spain @ france) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain))))))))) | (~ (fool @ X1 @ X2))) = $true)) )), 28.50/4.04 inference(beta_eta_normalization,[],[f254])). 28.50/4.04 thf(f254,plain,( 28.50/4.04 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (((c @ spain @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain))))))))) | (~ (fool @ X1 @ Y0)))) @ X2))) )), 28.50/4.04 inference(pi_clausification,[],[f253])). 28.50/4.04 thf(f253,plain,( 28.50/4.04 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (((c @ spain @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain))))))))) | (~ (fool @ X1 @ Y0))))))) )), 28.50/4.04 inference(beta_eta_normalization,[],[f252])). 28.50/4.04 thf(f252,plain,( 28.50/4.04 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((c @ spain @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain))))))))) | (~ (fool @ Y0 @ Y1)))))) @ X1))) )), 28.50/4.04 inference(pi_clausification,[],[f221])). 28.50/4.04 thf(f221,plain,( 28.50/4.04 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((c @ spain @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain))))))))) | (~ (fool @ Y0 @ Y1))))))))), 28.50/4.04 inference(beta_eta_normalization,[],[f214])). 28.50/4.04 thf(f214,plain,( 28.50/4.04 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))) @ fool @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((c @ Y1 @ Y2) & (~ ((^[Y3 : reg]: ((^[Y4 : reg]: (?? @ reg @ (^[Y5 : reg]: (((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y4) & ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y3))))))) @ Y1 @ Y2)))))) @ spain @ france)))) = $true)), 28.50/4.04 inference(definition_unfolding,[],[f157,f148,f182,f208])). 28.50/4.04 thf(f157,plain,( 28.50/4.04 ((mvalid @ (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france)))) = $true)), 28.50/4.04 inference(cnf_transformation,[],[f59])). 28.50/4.04 thf(f59,plain,( 28.50/4.04 ((mvalid @ (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france)))) = $true)), 28.50/4.04 inference(fool_elimination,[],[f58])). 28.50/4.04 thf(f58,plain,( 28.50/4.04 (mvalid @ (mbox @ fool @ (^[X0 : $i] : (ec @ spain @ france))))), 28.50/4.04 inference(rectify,[],[f43])). 28.50/4.04 thf(f43,axiom,( 28.50/4.04 (mvalid @ (mbox @ fool @ (^[X0 : $i] : (ec @ spain @ france))))), 28.50/4.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)). 28.50/4.04 % SZS output end Proof for theBenchmark 28.50/4.04 % (30513)------------------------------ 28.50/4.04 % (30513)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 28.50/4.04 % (30513)Termination reason: Refutation 28.50/4.04 28.50/4.04 % (30513)Memory used [KB]: 17654 28.50/4.04 % (30513)Time elapsed: 1.936 s 28.50/4.04 % (30513)Instructions burned: 3960 (million) 28.50/4.04 % (30513)------------------------------ 28.50/4.04 % (30513)------------------------------ 28.50/4.04 % (30384)Success in time 3.666 s 28.50/4.04 % Vampire---4.8 exiting 28.50/4.04 EOF