0.08/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s 0.12/0.34 % Computer : n028.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 300 0.12/0.34 % WCLimit : 300 0.12/0.34 % DateTime : Fri Jul 5 04:24:24 EDT 2024 0.12/0.34 % CPUTime : 0.12/0.36 This is a THF_ problem 0.12/0.36 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/sandbox/benchmark/theBenchmark.p 0.12/0.38 % (15034)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2999ds/96Mi) 0.12/0.38 % (15036)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on theBenchmark for (2999ds/34Mi) 0.12/0.38 % (15035)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on theBenchmark for (2999ds/36Mi) 0.12/0.38 % (15037)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) 0.12/0.38 % (15038)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi) 0.12/0.38 % (15039)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) 0.12/0.38 % (15040)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi) 0.12/0.38 % (15041)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) 0.12/0.38 % (15040)Instruction limit reached! 0.12/0.38 % (15040)------------------------------ 0.12/0.38 % (15040)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.12/0.38 % (15040)Termination reason: Unknown 0.12/0.38 % (15040)Termination phase: shuffling 0.12/0.38 0.12/0.38 % (15040)Memory used [KB]: 1151 0.12/0.38 % (15040)Time elapsed: 0.005 s 0.12/0.38 % (15040)Instructions burned: 5 (million) 0.12/0.38 % (15040)------------------------------ 0.12/0.38 % (15040)------------------------------ 0.12/0.39 % (15041)Refutation not found, incomplete strategy 0.12/0.39 % (15041)------------------------------ 0.12/0.39 % (15041)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.12/0.39 % (15041)Termination reason: Refutation not found, incomplete strategy 0.12/0.39 0.12/0.39 0.12/0.39 % (15041)Memory used [KB]: 5628 0.12/0.39 % (15041)Time elapsed: 0.009 s 0.12/0.39 % (15041)Instructions burned: 12 (million) 0.12/0.39 % (15041)------------------------------ 0.12/0.39 % (15041)------------------------------ 0.12/0.39 % (15038)Instruction limit reached! 0.12/0.39 % (15038)------------------------------ 0.12/0.39 % (15038)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.12/0.39 % (15038)Termination reason: Unknown 0.12/0.39 % (15038)Termination phase: Saturation 0.12/0.39 0.12/0.39 % (15038)Memory used [KB]: 5628 0.12/0.39 % (15038)Time elapsed: 0.011 s 0.12/0.39 % (15038)Instructions burned: 18 (million) 0.12/0.39 % (15038)------------------------------ 0.12/0.39 % (15038)------------------------------ 0.12/0.40 % (15036)Instruction limit reached! 0.12/0.40 % (15036)------------------------------ 0.12/0.40 % (15036)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.12/0.40 % (15036)Termination reason: Unknown 0.12/0.40 % (15036)Termination phase: Saturation 0.12/0.40 0.12/0.40 % (15036)Memory used [KB]: 5756 0.12/0.40 % (15036)Time elapsed: 0.019 s 0.12/0.40 % (15036)Instructions burned: 34 (million) 0.12/0.40 % (15036)------------------------------ 0.12/0.40 % (15036)------------------------------ 0.21/0.40 % (15042)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) 0.21/0.40 % (15035)Instruction limit reached! 0.21/0.40 % (15035)------------------------------ 0.21/0.40 % (15035)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.40 % (15035)Termination reason: Unknown 0.21/0.40 % (15035)Termination phase: Saturation 0.21/0.40 0.21/0.40 % (15035)Memory used [KB]: 5756 0.21/0.40 % (15035)Time elapsed: 0.022 s 0.21/0.40 % (15035)Instructions burned: 37 (million) 0.21/0.40 % (15035)------------------------------ 0.21/0.40 % (15035)------------------------------ 0.21/0.40 % (15043)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi) 0.21/0.40 % (15044)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) 0.21/0.41 % (15043)Instruction limit reached! 0.21/0.41 % (15043)------------------------------ 0.21/0.41 % (15043)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.41 % (15043)Termination reason: Unknown 0.21/0.41 % (15043)Termination phase: Property scanning 0.21/0.41 0.21/0.41 % (15043)Memory used [KB]: 1151 0.21/0.41 % (15043)Time elapsed: 0.006 s 0.21/0.41 % (15043)Instructions burned: 8 (million) 0.21/0.41 % (15043)------------------------------ 0.21/0.41 % (15043)------------------------------ 0.21/0.41 % (15042)Instruction limit reached! 0.21/0.41 % (15042)------------------------------ 0.21/0.41 % (15042)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.41 % (15042)Termination reason: Unknown 0.21/0.41 % (15042)Termination phase: Saturation 0.21/0.41 0.21/0.41 % (15042)Memory used [KB]: 5756 0.21/0.41 % (15042)Time elapsed: 0.013 s 0.21/0.41 % (15042)Instructions burned: 22 (million) 0.21/0.41 % (15042)------------------------------ 0.21/0.41 % (15042)------------------------------ 0.21/0.41 % (15045)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) 0.21/0.42 % (15046)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) 0.21/0.42 % (15039)Instruction limit reached! 0.21/0.42 % (15039)------------------------------ 0.21/0.42 % (15039)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.42 % (15039)Termination reason: Unknown 0.21/0.42 % (15039)Termination phase: Saturation 0.21/0.42 0.21/0.42 % (15039)Memory used [KB]: 6012 0.21/0.42 % (15039)Time elapsed: 0.045 s 0.21/0.42 % (15039)Instructions burned: 74 (million) 0.21/0.42 % (15039)------------------------------ 0.21/0.42 % (15039)------------------------------ 0.21/0.42 % (15047)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) 0.21/0.42 % (15046)Instruction limit reached! 0.21/0.42 % (15046)------------------------------ 0.21/0.42 % (15046)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.42 % (15046)Termination reason: Unknown 0.21/0.42 % (15046)Termination phase: Property scanning 0.21/0.42 0.21/0.42 % (15046)Memory used [KB]: 1151 0.21/0.42 % (15046)Time elapsed: 0.007 s 0.21/0.42 % (15046)Instructions burned: 9 (million) 0.21/0.42 % (15046)------------------------------ 0.21/0.42 % (15046)------------------------------ 0.21/0.43 % (15048)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) 0.21/0.44 % (15034)Instruction limit reached! 0.21/0.44 % (15034)------------------------------ 0.21/0.44 % (15034)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.44 % (15034)Termination reason: Unknown 0.21/0.44 % (15034)Termination phase: Saturation 0.21/0.44 0.21/0.44 % (15034)Memory used [KB]: 6268 0.21/0.44 % (15034)Time elapsed: 0.058 s 0.21/0.44 % (15034)Instructions burned: 96 (million) 0.21/0.44 % (15034)------------------------------ 0.21/0.44 % (15034)------------------------------ 0.21/0.44 % (15055)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on theBenchmark for (2999ds/61Mi) 0.21/0.44 % (15056)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on theBenchmark for (2999ds/14Mi) 0.21/0.45 % (15056)Instruction limit reached! 0.21/0.45 % (15056)------------------------------ 0.21/0.45 % (15056)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.45 % (15056)Termination reason: Unknown 0.21/0.45 % (15056)Termination phase: Property scanning 0.21/0.45 0.21/0.45 % (15056)Memory used [KB]: 1151 0.21/0.45 % (15056)Time elapsed: 0.009 s 0.21/0.45 % (15056)Instructions burned: 14 (million) 0.21/0.45 % (15056)------------------------------ 0.21/0.45 % (15056)------------------------------ 0.21/0.45 % (15062)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) 0.21/0.45 % (15062)Instruction limit reached! 0.21/0.45 % (15062)------------------------------ 0.21/0.45 % (15062)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.45 % (15062)Termination reason: Unknown 0.21/0.45 % (15062)Termination phase: shuffling 0.21/0.45 0.21/0.45 % (15062)Memory used [KB]: 1023 0.21/0.45 % (15062)Time elapsed: 0.004 s 0.21/0.45 % (15062)Instructions burned: 2 (million) 0.21/0.45 % (15062)------------------------------ 0.21/0.45 % (15062)------------------------------ 0.21/0.46 % (15045)Instruction limit reached! 0.21/0.46 % (15045)------------------------------ 0.21/0.46 % (15045)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.46 % (15045)Termination reason: Unknown 0.21/0.46 % (15045)Termination phase: Saturation 0.21/0.46 0.21/0.46 % (15045)Memory used [KB]: 5884 0.21/0.46 % (15045)Time elapsed: 0.070 s 0.21/0.46 % (15045)Instructions burned: 71 (million) 0.21/0.46 % (15045)------------------------------ 0.21/0.46 % (15045)------------------------------ 0.21/0.47 % (15055)Instruction limit reached! 0.21/0.47 % (15055)------------------------------ 0.21/0.47 % (15055)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.47 % (15055)Termination reason: Unknown 0.21/0.47 % (15055)Termination phase: Saturation 0.21/0.47 0.21/0.47 % (15055)Memory used [KB]: 6012 0.21/0.47 % (15055)Time elapsed: 0.033 s 0.21/0.47 % (15055)Instructions burned: 61 (million) 0.21/0.47 % (15055)------------------------------ 0.21/0.47 % (15055)------------------------------ 0.21/0.48 % (15066)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) 0.21/0.48 % (15074)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) 0.21/0.48 % (15076)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 (2998ds/26Mi) 0.21/0.49 % (15075)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) 0.21/0.49 % (15074)Instruction limit reached! 0.21/0.49 % (15074)------------------------------ 0.21/0.49 % (15074)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.49 % (15074)Termination reason: Unknown 0.21/0.49 % (15074)Termination phase: Function definition elimination 0.21/0.49 0.21/0.49 % (15074)Memory used [KB]: 1151 0.21/0.49 % (15074)Time elapsed: 0.007 s 0.21/0.49 % (15074)Instructions burned: 11 (million) 0.21/0.49 % (15074)------------------------------ 0.21/0.49 % (15074)------------------------------ 0.21/0.49 % (15076)Instruction limit reached! 0.21/0.49 % (15076)------------------------------ 0.21/0.49 % (15076)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.49 % (15076)Termination reason: Unknown 0.21/0.49 % (15076)Termination phase: Saturation 0.21/0.49 0.21/0.49 % (15076)Memory used [KB]: 5756 0.21/0.49 % (15076)Time elapsed: 0.009 s 0.21/0.49 % (15076)Instructions burned: 28 (million) 0.21/0.49 % (15076)------------------------------ 0.21/0.49 % (15076)------------------------------ 0.21/0.50 % (15077)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on theBenchmark for (2998ds/56Mi) 0.21/0.50 % (15075)Refutation not found, incomplete strategy 0.21/0.50 % (15075)------------------------------ 0.21/0.50 % (15075)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.50 % (15075)Termination reason: Refutation not found, incomplete strategy 0.21/0.50 0.21/0.50 0.21/0.50 % (15075)Memory used [KB]: 5756 0.21/0.50 % (15075)Time elapsed: 0.017 s 0.21/0.50 % (15075)Instructions burned: 23 (million) 0.21/0.50 % (15075)------------------------------ 0.21/0.50 % (15075)------------------------------ 0.21/0.51 % (15048)Instruction limit reached! 0.21/0.51 % (15048)------------------------------ 0.21/0.51 % (15048)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.51 % (15048)Termination reason: Unknown 0.21/0.51 % (15048)Termination phase: Saturation 0.21/0.51 0.21/0.51 % (15048)Memory used [KB]: 6268 0.21/0.51 % (15048)Time elapsed: 0.082 s 0.21/0.51 % (15048)Instructions burned: 128 (million) 0.21/0.51 % (15048)------------------------------ 0.21/0.51 % (15048)------------------------------ 0.21/0.51 % (15078)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) 0.21/0.51 % (15078)Refutation not found, incomplete strategy 0.21/0.51 % (15078)------------------------------ 0.21/0.51 % (15078)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.51 % (15078)Termination reason: Refutation not found, incomplete strategy 0.21/0.51 0.21/0.51 0.21/0.51 % (15078)Memory used [KB]: 5628 0.21/0.51 % (15078)Time elapsed: 0.010 s 0.21/0.51 % (15078)Instructions burned: 16 (million) 0.21/0.51 % (15078)------------------------------ 0.21/0.51 % (15078)------------------------------ 0.21/0.52 % (15077)Instruction limit reached! 0.21/0.52 % (15077)------------------------------ 0.21/0.52 % (15077)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.52 % (15077)Termination reason: Unknown 0.21/0.52 % (15077)Termination phase: Saturation 0.21/0.52 0.21/0.52 % (15077)Memory used [KB]: 1535 0.21/0.52 % (15077)Time elapsed: 0.018 s 0.21/0.52 % (15077)Instructions burned: 56 (million) 0.21/0.52 % (15077)------------------------------ 0.21/0.52 % (15077)------------------------------ 0.21/0.52 % (15079)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) 0.21/0.52 % (15079)Instruction limit reached! 0.21/0.52 % (15079)------------------------------ 0.21/0.52 % (15079)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.52 % (15079)Termination reason: Unknown 0.21/0.52 % (15079)Termination phase: shuffling 0.21/0.52 0.21/0.52 % (15079)Memory used [KB]: 1151 0.21/0.52 % (15079)Time elapsed: 0.004 s 0.21/0.52 % (15079)Instructions burned: 4 (million) 0.21/0.52 % (15079)------------------------------ 0.21/0.52 % (15079)------------------------------ 0.21/0.52 % (15080)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) 0.21/0.52 % (15081)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) 0.21/0.53 % (15082)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=191:si=on:rtra=on_0 on theBenchmark for (2998ds/191Mi) 0.21/0.53 % (15080)Instruction limit reached! 0.21/0.53 % (15080)------------------------------ 0.21/0.53 % (15080)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.53 % (15080)Termination reason: Unknown 0.21/0.53 % (15080)Termination phase: Saturation 0.21/0.53 0.21/0.53 % (15080)Memory used [KB]: 5756 0.21/0.53 % (15080)Time elapsed: 0.012 s 0.21/0.53 % (15080)Instructions burned: 20 (million) 0.21/0.53 % (15080)------------------------------ 0.21/0.53 % (15080)------------------------------ 0.21/0.53 % (15083)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) 0.21/0.54 % (15081)Instruction limit reached! 0.21/0.54 % (15081)------------------------------ 0.21/0.54 % (15081)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.54 % (15081)Termination reason: Unknown 0.21/0.54 % (15081)Termination phase: Saturation 0.21/0.54 0.21/0.54 % (15081)Memory used [KB]: 1279 0.21/0.54 % (15081)Time elapsed: 0.015 s 0.21/0.54 % (15081)Instructions burned: 44 (million) 0.21/0.54 % (15081)------------------------------ 0.21/0.54 % (15081)------------------------------ 0.21/0.55 % (15085)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi) 0.21/0.55 % (15084)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) 0.21/0.55 % (15085)Instruction limit reached! 0.21/0.55 % (15085)------------------------------ 0.21/0.55 % (15085)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.55 % (15085)Termination reason: Unknown 0.21/0.55 % (15085)Termination phase: shuffling 0.21/0.55 0.21/0.55 % (15085)Memory used [KB]: 1151 0.21/0.55 % (15085)Time elapsed: 0.003 s 0.21/0.55 % (15085)Instructions burned: 4 (million) 0.21/0.55 % (15085)------------------------------ 0.21/0.55 % (15085)------------------------------ 0.21/0.56 % (15086)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) 0.21/0.57 % (15083)Instruction limit reached! 0.21/0.57 % (15083)------------------------------ 0.21/0.57 % (15083)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.57 % (15083)Termination reason: Unknown 0.21/0.57 % (15083)Termination phase: Saturation 0.21/0.57 0.21/0.57 % (15083)Memory used [KB]: 6012 0.21/0.57 % (15083)Time elapsed: 0.034 s 0.21/0.57 % (15083)Instructions burned: 62 (million) 0.21/0.57 % (15083)------------------------------ 0.21/0.57 % (15083)------------------------------ 0.21/0.58 % (15087)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) 0.21/0.58 % (15087)Instruction limit reached! 0.21/0.58 % (15087)------------------------------ 0.21/0.58 % (15087)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.58 % (15087)Termination reason: Unknown 0.21/0.58 % (15087)Termination phase: shuffling 0.21/0.58 0.21/0.58 % (15087)Memory used [KB]: 1023 0.21/0.58 % (15087)Time elapsed: 0.003 s 0.21/0.58 % (15087)Instructions burned: 3 (million) 0.21/0.58 % (15087)------------------------------ 0.21/0.58 % (15087)------------------------------ 1.92/0.60 % (15088)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 (2997ds/4Mi) 1.92/0.60 % (15037)Refutation not found, non-redundant clauses discarded% (15037)------------------------------ 1.92/0.60 % (15037)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.92/0.60 % (15037)Termination reason: Refutation not found, non-redundant clauses discarded 1.92/0.60 1.92/0.60 % (15037)Memory used [KB]: 6780 1.92/0.60 % (15037)Time elapsed: 0.219 s 1.92/0.60 % (15037)Instructions burned: 362 (million) 1.92/0.60 % (15037)------------------------------ 1.92/0.60 % (15037)------------------------------ 1.92/0.60 % (15088)Instruction limit reached! 1.92/0.60 % (15088)------------------------------ 1.92/0.60 % (15088)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.92/0.60 % (15088)Termination reason: Unknown 1.92/0.60 % (15088)Termination phase: shuffling 1.92/0.60 1.92/0.60 % (15088)Memory used [KB]: 1151 1.92/0.60 % (15088)Time elapsed: 0.004 s 1.92/0.60 % (15088)Instructions burned: 4 (million) 1.92/0.60 % (15088)------------------------------ 1.92/0.60 % (15088)------------------------------ 1.92/0.60 % (15084)Instruction limit reached! 1.92/0.60 % (15084)------------------------------ 1.92/0.60 % (15084)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.92/0.60 % (15084)Termination reason: Unknown 1.92/0.60 % (15084)Termination phase: Saturation 1.92/0.60 1.92/0.60 % (15084)Memory used [KB]: 6140 1.92/0.60 % (15084)Time elapsed: 0.056 s 1.92/0.60 % (15084)Instructions burned: 105 (million) 1.92/0.60 % (15084)------------------------------ 1.92/0.60 % (15084)------------------------------ 1.92/0.61 % (15090)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2997ds/150Mi) 1.92/0.62 % (15089)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2997ds/149Mi) 2.07/0.62 % (15091)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 (2997ds/199Mi) 2.07/0.63 % (15091)Refutation not found, incomplete strategy 2.07/0.63 % (15091)------------------------------ 2.07/0.63 % (15091)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.07/0.63 % (15091)Termination reason: Refutation not found, incomplete strategy 2.07/0.63 2.07/0.63 2.07/0.63 % (15091)Memory used [KB]: 5756 2.07/0.63 % (15091)Time elapsed: 0.013 s 2.07/0.63 % (15091)Instructions burned: 24 (million) 2.07/0.63 % (15091)------------------------------ 2.07/0.63 % (15091)------------------------------ 2.07/0.63 % (15082)Instruction limit reached! 2.07/0.63 % (15082)------------------------------ 2.07/0.63 % (15082)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.07/0.63 % (15082)Termination reason: Unknown 2.07/0.63 % (15082)Termination phase: Saturation 2.07/0.63 2.07/0.63 % (15082)Memory used [KB]: 7164 2.07/0.63 % (15082)Time elapsed: 0.106 s 2.07/0.63 % (15082)Instructions burned: 191 (million) 2.07/0.63 % (15082)------------------------------ 2.07/0.63 % (15082)------------------------------ 2.22/0.65 % (15092)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi) 2.22/0.65 % (15093)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=721:si=on:rtra=on_0 on theBenchmark for (2997ds/721Mi) 2.22/0.67 % (15092)Instruction limit reached! 2.22/0.67 % (15092)------------------------------ 2.22/0.67 % (15092)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.22/0.67 % (15092)Termination reason: Unknown 2.22/0.67 % (15092)Termination phase: Saturation 2.22/0.67 2.22/0.67 % (15092)Memory used [KB]: 5884 2.22/0.67 % (15092)Time elapsed: 0.021 s 2.22/0.67 % (15092)Instructions burned: 40 (million) 2.22/0.67 % (15092)------------------------------ 2.22/0.67 % (15092)------------------------------ 2.22/0.68 % (15086)Instruction limit reached! 2.22/0.68 % (15086)------------------------------ 2.22/0.68 % (15086)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.22/0.68 % (15086)Termination reason: Unknown 2.22/0.68 % (15086)Termination phase: Saturation 2.22/0.68 2.22/0.68 % (15086)Memory used [KB]: 6524 2.22/0.68 % (15086)Time elapsed: 0.119 s 2.22/0.68 % (15086)Instructions burned: 238 (million) 2.22/0.68 % (15086)------------------------------ 2.22/0.68 % (15086)------------------------------ 2.22/0.68 % (15094)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi) 2.22/0.68 % (15094)Instruction limit reached! 2.22/0.68 % (15094)------------------------------ 2.22/0.68 % (15094)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.22/0.68 % (15094)Termination reason: Unknown 2.22/0.68 % (15094)Termination phase: shuffling 2.22/0.68 2.22/0.68 % (15094)Memory used [KB]: 1023 2.22/0.68 % (15094)Time elapsed: 0.004 s 2.22/0.68 % (15094)Instructions burned: 4 (million) 2.22/0.68 % (15094)------------------------------ 2.22/0.68 % (15094)------------------------------ 2.22/0.68 % (15090)Instruction limit reached! 2.22/0.68 % (15090)------------------------------ 2.22/0.68 % (15090)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.22/0.68 % (15090)Termination reason: Unknown 2.22/0.68 % (15090)Termination phase: Saturation 2.22/0.68 2.22/0.68 % (15090)Memory used [KB]: 5884 2.22/0.68 % (15090)Time elapsed: 0.073 s 2.22/0.68 % (15090)Instructions burned: 150 (million) 2.22/0.68 % (15090)------------------------------ 2.22/0.68 % (15090)------------------------------ 2.22/0.69 % (15095)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) 2.22/0.70 % (15089)Instruction limit reached! 2.22/0.70 % (15089)------------------------------ 2.22/0.70 % (15089)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.22/0.70 % (15089)Termination reason: Unknown 2.22/0.70 % (15089)Termination phase: Saturation 2.22/0.70 2.22/0.70 % (15089)Memory used [KB]: 6396 2.22/0.70 % (15089)Time elapsed: 0.083 s 2.22/0.70 % (15089)Instructions burned: 150 (million) 2.22/0.70 % (15089)------------------------------ 2.22/0.70 % (15089)------------------------------ 2.22/0.70 % (15097)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 (2996ds/448Mi) 2.22/0.70 % (15096)lrs+10_1:1_au=on:c=on:sac=on:slsq=on:slsqc=2:i=218:si=on:rtra=on_0 on theBenchmark for (2996ds/218Mi) 2.22/0.70 % (15095)Instruction limit reached! 2.22/0.70 % (15095)------------------------------ 2.22/0.70 % (15095)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.22/0.70 % (15095)Termination reason: Unknown 2.22/0.70 % (15095)Termination phase: Saturation 2.22/0.70 2.22/0.70 % (15095)Memory used [KB]: 5756 2.22/0.70 % (15095)Time elapsed: 0.012 s 2.22/0.70 % (15095)Instructions burned: 18 (million) 2.22/0.70 % (15095)------------------------------ 2.22/0.70 % (15095)------------------------------ 2.22/0.71 % (15099)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 (2996ds/6Mi) 2.22/0.71 % (15099)Instruction limit reached! 2.22/0.71 % (15099)------------------------------ 2.22/0.71 % (15099)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.22/0.71 % (15099)Termination reason: Unknown 2.22/0.71 % (15099)Termination phase: Property scanning 2.22/0.71 2.22/0.71 % (15099)Memory used [KB]: 1151 2.22/0.71 % (15099)Time elapsed: 0.003 s 2.22/0.71 % (15099)Instructions burned: 6 (million) 2.22/0.71 % (15099)------------------------------ 2.22/0.71 % (15099)------------------------------ 2.22/0.72 % (15101)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2996ds/16Mi) 2.22/0.72 % (15100)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=9:si=on:rtra=on_0 on theBenchmark for (2996ds/9Mi) 2.77/0.72 % (15101)Instruction limit reached! 2.77/0.72 % (15101)------------------------------ 2.77/0.72 % (15101)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.77/0.72 % (15101)Termination reason: Unknown 2.77/0.72 % (15101)Termination phase: Saturation 2.77/0.72 2.77/0.72 % (15101)Memory used [KB]: 5628 2.77/0.72 % (15101)Time elapsed: 0.006 s 2.77/0.72 % (15101)Instructions burned: 17 (million) 2.77/0.72 % (15101)------------------------------ 2.77/0.72 % (15101)------------------------------ 2.77/0.72 % (15100)Instruction limit reached! 2.77/0.72 % (15100)------------------------------ 2.77/0.72 % (15100)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.77/0.72 % (15100)Termination reason: Unknown 2.77/0.72 % (15100)Termination phase: Function definition elimination 2.77/0.72 2.77/0.72 % (15100)Memory used [KB]: 1151 2.77/0.72 % (15100)Time elapsed: 0.007 s 2.77/0.72 % (15100)Instructions burned: 10 (million) 2.77/0.72 % (15100)------------------------------ 2.77/0.72 % (15100)------------------------------ 2.77/0.73 % (15102)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) 2.77/0.74 % (15103)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2996ds/2Mi) 2.77/0.74 % (15103)Instruction limit reached! 2.77/0.74 % (15103)------------------------------ 2.77/0.74 % (15103)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.77/0.74 % (15103)Termination reason: Unknown 2.77/0.74 % (15103)Termination phase: shuffling 2.77/0.74 2.77/0.74 % (15103)Memory used [KB]: 1023 2.77/0.74 % (15103)Time elapsed: 0.003 s 2.77/0.74 % (15103)Instructions burned: 2 (million) 2.77/0.74 % (15103)------------------------------ 2.77/0.74 % (15103)------------------------------ 2.77/0.74 % (15102)Instruction limit reached! 2.77/0.74 % (15102)------------------------------ 2.77/0.74 % (15102)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.77/0.74 % (15102)Termination reason: Unknown 2.77/0.74 % (15102)Termination phase: Saturation 2.77/0.74 2.77/0.74 % (15102)Memory used [KB]: 5884 2.77/0.74 % (15102)Time elapsed: 0.012 s 2.77/0.74 % (15102)Instructions burned: 40 (million) 2.77/0.74 % (15102)------------------------------ 2.77/0.74 % (15102)------------------------------ 2.77/0.75 % (15104)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) 2.77/0.75 % (15066)First to succeed. 2.77/0.76 % (15105)lrs+1004_1:1_chr=on:prag=on:i=8:si=on:rtra=on_0 on theBenchmark for (2996ds/8Mi) 2.77/0.77 % (15105)Instruction limit reached! 2.77/0.77 % (15105)------------------------------ 2.77/0.77 % (15105)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.77/0.77 % (15105)Termination reason: Unknown 2.77/0.77 % (15105)Termination phase: Property scanning 2.77/0.77 2.77/0.77 % (15105)Memory used [KB]: 1151 2.77/0.77 % (15105)Time elapsed: 0.006 s 2.77/0.77 % (15066)Refutation found. Thanks to Tanya! 2.77/0.77 % SZS status Theorem for theBenchmark 2.77/0.77 % SZS output start Proof for theBenchmark 2.77/0.77 thf(type_def_5, type, mu: $tType). 2.77/0.77 thf(type_def_7, type, reg: $tType). 2.77/0.77 thf(func_def_0, type, mu: $tType). 2.77/0.77 thf(func_def_1, type, meq_ind: mu > mu > $i > $o). 2.77/0.77 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o). 2.77/0.77 thf(func_def_4, type, mnot: ($i > $o) > $i > $o). 2.77/0.77 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o). 2.77/0.77 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o). 2.77/0.77 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 2.77/0.77 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o). 2.77/0.77 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o). 2.77/0.77 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o). 2.77/0.77 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o). 2.77/0.77 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 2.77/0.77 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o). 2.77/0.77 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o). 2.77/0.77 thf(func_def_15, type, mtrue: $i > $o). 2.77/0.77 thf(func_def_16, type, mfalse: $i > $o). 2.77/0.77 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 2.77/0.77 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o). 2.77/0.77 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o). 2.77/0.77 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o). 2.77/0.77 thf(func_def_21, type, mserial: ($i > $i > $o) > $o). 2.77/0.77 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o). 2.77/0.77 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o). 2.77/0.77 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o). 2.77/0.77 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o). 2.77/0.77 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o). 2.77/0.77 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o). 2.77/0.77 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o). 2.77/0.77 thf(func_def_29, type, mvalid: ($i > $o) > $o). 2.77/0.77 thf(func_def_30, type, minvalid: ($i > $o) > $o). 2.77/0.77 thf(func_def_31, type, msatisfiable: ($i > $o) > $o). 2.77/0.77 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o). 2.77/0.77 thf(func_def_33, type, reg: $tType). 2.77/0.77 thf(func_def_34, type, c: reg > reg > $o). 2.77/0.77 thf(func_def_35, type, dc: reg > reg > $o). 2.77/0.77 thf(func_def_36, type, p: reg > reg > $o). 2.77/0.77 thf(func_def_37, type, eq: reg > reg > $o). 2.77/0.77 thf(func_def_38, type, o: reg > reg > $o). 2.77/0.77 thf(func_def_39, type, po: reg > reg > $o). 2.77/0.77 thf(func_def_40, type, ec: reg > reg > $o). 2.77/0.77 thf(func_def_41, type, pp: reg > reg > $o). 2.77/0.77 thf(func_def_42, type, tpp: reg > reg > $o). 2.77/0.77 thf(func_def_43, type, ntpp: reg > reg > $o). 2.77/0.77 thf(func_def_44, type, catalunya: reg). 2.77/0.77 thf(func_def_45, type, france: reg). 2.77/0.77 thf(func_def_46, type, spain: reg). 2.77/0.77 thf(func_def_47, type, paris: reg). 2.77/0.77 thf(func_def_48, type, a: $i > $i > $o). 2.77/0.77 thf(func_def_49, type, fool: $i > $i > $o). 2.77/0.77 thf(func_def_66, type, ph1: !>[X0: $tType]:(X0)). 2.77/0.77 thf(func_def_67, type, sK2: $i > $i > $i). 2.77/0.77 thf(func_def_68, type, sK3: $i > $i > $i). 2.77/0.77 thf(func_def_71, type, sK6: reg). 2.77/0.77 thf(func_def_72, type, sK7: reg). 2.77/0.77 thf(func_def_74, type, sK9: reg). 2.77/0.77 thf(func_def_75, type, sK10: reg). 2.77/0.77 thf(func_def_76, type, sK11: reg). 2.77/0.77 thf(func_def_77, type, sK12: reg). 2.77/0.77 thf(func_def_78, type, sK13: reg). 2.77/0.77 thf(func_def_79, type, sK14: reg). 2.77/0.77 thf(func_def_80, type, sK15: reg). 2.77/0.77 thf(func_def_81, type, sK16: reg). 2.77/0.77 thf(func_def_82, type, sK17: reg). 2.77/0.77 thf(func_def_83, type, sK18: reg). 2.77/0.77 thf(func_def_84, type, sK19: reg). 2.77/0.77 thf(func_def_85, type, sK20: reg). 2.77/0.77 thf(func_def_86, type, sK21: reg). 2.77/0.77 thf(func_def_87, type, sK22: reg). 2.77/0.77 thf(func_def_88, type, sK23: reg). 2.77/0.77 thf(func_def_89, type, sK24: reg). 2.77/0.77 thf(func_def_90, type, sK25: reg). 2.77/0.77 thf(func_def_91, type, sK26: reg). 2.77/0.77 thf(func_def_92, type, sK27: $i > ($i > $o) > $i). 2.77/0.77 thf(func_def_93, type, sK28: reg). 2.77/0.77 thf(func_def_94, type, sK29: reg). 2.77/0.77 thf(func_def_95, type, sK30: reg). 2.77/0.77 thf(func_def_96, type, sK31: reg). 2.77/0.77 thf(func_def_97, type, sK32: reg). 2.77/0.77 thf(func_def_98, type, sK33: reg). 2.77/0.77 thf(func_def_99, type, sK34: reg). 2.77/0.77 thf(func_def_100, type, sK35: reg). 2.77/0.77 thf(func_def_101, type, sK36: reg). 2.77/0.77 thf(func_def_102, type, sK37: reg). 2.77/0.77 thf(f4958,plain,( 2.77/0.77 $false), 2.77/0.77 inference(avatar_sat_refutation,[],[f328,f383,f414,f766,f4418,f4957])). 2.77/0.77 thf(f4957,plain,( 2.77/0.77 ~spl0_5 | ~spl0_8), 2.77/0.77 inference(avatar_contradiction_clause,[],[f4956])). 2.77/0.77 thf(f4956,plain,( 2.77/0.77 $false | (~spl0_5 | ~spl0_8)), 2.77/0.77 inference(trivial_inequality_removal,[],[f4955])). 2.77/0.77 thf(f4955,plain,( 2.77/0.77 ($true = $false) | (~spl0_5 | ~spl0_8)), 2.77/0.77 inference(backward_demodulation,[],[f4949,f4947])). 2.77/0.77 thf(f4947,plain,( 2.77/0.77 ((c @ sK36 @ paris) = $false) | (~spl0_5 | ~spl0_8)), 2.77/0.77 inference(trivial_inequality_removal,[],[f4946])). 2.77/0.77 thf(f4946,plain,( 2.77/0.77 ($true = $false) | ((c @ sK36 @ paris) = $false) | (~spl0_5 | ~spl0_8)), 2.77/0.77 inference(boolean_simplification,[],[f4940])). 2.77/0.77 thf(f4940,plain,( 2.77/0.77 (((c @ sK36 @ sK18) => $true) = $false) | ((c @ sK36 @ paris) = $false) | (~spl0_5 | ~spl0_8)), 2.77/0.77 inference(superposition,[],[f4923,f560])). 2.77/0.77 thf(f560,plain,( 2.77/0.77 ( ! [X1 : reg] : (($true = (c @ X1 @ france)) | ((c @ X1 @ paris) = $false)) ) | ~spl0_5), 2.77/0.77 inference(binary_proxy_clausification,[],[f549])). 2.77/0.77 thf(f549,plain,( 2.77/0.77 ( ! [X1 : reg] : ((((c @ X1 @ paris) => (c @ X1 @ france)) = $true)) ) | ~spl0_5), 2.77/0.77 inference(beta_eta_normalization,[],[f546])). 2.77/0.77 thf(f546,plain,( 2.77/0.77 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))) @ X1) = $true)) ) | ~spl0_5), 2.77/0.77 inference(pi_clausification,[],[f432])). 2.77/0.77 thf(f432,plain,( 2.77/0.77 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) | ~spl0_5), 2.77/0.77 inference(binary_proxy_clausification,[],[f426])). 2.77/0.77 thf(f426,plain,( 2.77/0.77 ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))))) | ~spl0_5), 2.77/0.77 inference(boolean_simplification,[],[f425])). 2.77/0.77 thf(f425,plain,( 2.77/0.77 ($true = (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) & $true)) | ~spl0_5), 2.77/0.77 inference(backward_demodulation,[],[f413,f423])). 2.77/0.77 thf(f423,plain,( 2.77/0.77 ((~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france)))))) = $true) | ~spl0_5), 2.77/0.77 inference(binary_proxy_clausification,[],[f413])). 2.77/0.77 thf(f413,plain,( 2.77/0.77 ($true = (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france)))))))) | ~spl0_5), 2.77/0.77 inference(avatar_component_clause,[],[f412])). 2.77/0.77 thf(f412,plain,( 2.77/0.77 spl0_5 <=> ($true = (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france))))))))), 2.77/0.77 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])). 2.77/0.77 thf(f4923,plain,( 2.77/0.77 (((c @ sK36 @ sK18) => (c @ sK36 @ france)) = $false) | ~spl0_8), 2.77/0.77 inference(beta_eta_normalization,[],[f4920])). 2.77/0.77 thf(f4920,plain,( 2.77/0.77 (((^[Y0 : reg]: ((c @ Y0 @ sK18) => (c @ Y0 @ france))) @ sK36) = $false) | ~spl0_8), 2.77/0.77 inference(sigma_clausification,[],[f4459])). 2.77/0.77 thf(f4459,plain,( 2.77/0.77 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK18) => (c @ Y0 @ france)))) = $false) | ~spl0_8), 2.77/0.77 inference(boolean_simplification,[],[f4449])). 2.77/0.77 thf(f4449,plain,( 2.77/0.77 ($false = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK18) => (c @ Y0 @ france)))) & $true)) | ~spl0_8), 2.77/0.77 inference(superposition,[],[f4423,f1272])). 2.77/0.77 thf(f1272,plain,( 2.77/0.77 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK18) => (c @ Y0 @ sK11)))) = $true)), 2.77/0.77 inference(binary_proxy_clausification,[],[f1263])). 2.77/0.77 thf(f1263,plain,( 2.77/0.77 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK18) => (c @ Y0 @ paris)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK18) => (c @ Y0 @ sK11))))) = $true)), 2.77/0.77 inference(beta_eta_normalization,[],[f1261])). 2.77/0.77 thf(f1261,plain,( 2.77/0.77 (((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))))) @ sK18) = $true)), 2.77/0.77 inference(sigma_clausification,[],[f1250])). 2.77/0.77 thf(f1250,plain,( 2.77/0.77 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))) = $true)), 2.77/0.77 inference(boolean_simplification,[],[f1249])). 2.77/0.77 thf(f1249,plain,( 2.77/0.77 ($true = ($true & (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))))))))), 2.77/0.77 inference(backward_demodulation,[],[f741,f1248])). 2.77/0.77 thf(f1248,plain,( 2.77/0.77 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))) = $true)), 2.77/0.77 inference(binary_proxy_clausification,[],[f741])). 2.77/0.77 thf(f741,plain,( 2.77/0.77 ($true = ((?? @ 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 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))))))))), 2.77/0.77 inference(binary_proxy_clausification,[],[f723])). 2.77/0.77 thf(f723,plain,( 2.77/0.77 ((((?? @ 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 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))))))) => ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))) & (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))))) = $false)), 2.77/0.77 inference(beta_eta_normalization,[],[f722])). 2.77/0.77 thf(f722,plain,( 2.77/0.77 (((^[Y0 : reg]: (((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))) & (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) => ((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))) & (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))))) @ sK11) = $false)), 2.77/0.77 inference(sigma_clausification,[],[f455])). 2.77/0.77 thf(f455,plain,( 2.77/0.77 ((!! @ reg @ (^[Y0 : reg]: (((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))) & (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) => ((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))) & (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))) = $false)), 2.77/0.77 inference(binary_proxy_clausification,[],[f378])). 2.77/0.77 thf(f378,plain,( 2.77/0.77 (((~ (a @ sK4 @ sK5)) | (!! @ reg @ (^[Y0 : reg]: (((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))) & (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) => ((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))) & (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))))))) = $false)), 2.77/0.77 inference(beta_eta_normalization,[],[f377])). 2.77/0.77 thf(f377,plain,( 2.77/0.77 (((^[Y0 : $i]: ((~ (a @ sK4 @ Y0)) | (!! @ reg @ (^[Y1 : reg]: (((?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))) & (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) => ((?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))) & (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) @ sK5) = $false)), 2.77/0.77 inference(sigma_clausification,[],[f374])). 2.77/0.77 thf(f374,plain,( 2.77/0.77 ((!! @ $i @ (^[Y0 : $i]: ((~ (a @ sK4 @ Y0)) | (!! @ reg @ (^[Y1 : reg]: (((?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))) & (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) => ((?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))) & (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))))))))) = $false)), 2.77/0.77 inference(beta_eta_normalization,[],[f373])). 2.77/0.77 thf(f373,plain,( 2.77/0.77 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (!! @ reg @ (^[Y2 : reg]: (((?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))) & (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) => ((?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))) & (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))))))))) @ sK4) = $false)), 2.77/0.77 inference(sigma_clausification,[],[f368])). 2.77/0.77 thf(f368,plain,( 2.77/0.77 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (!! @ reg @ (^[Y2 : reg]: (((?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))) & (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) => ((?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))) & (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))))))))))) = $false)), 2.77/0.77 inference(not_proxy_clausification,[],[f223])). 2.77/0.77 thf(f223,plain,( 2.77/0.77 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (!! @ reg @ (^[Y2 : reg]: (((?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))) & (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) => ((?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))) & (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))))))))))))), 2.77/0.77 inference(beta_eta_normalization,[],[f213])). 2.77/0.77 thf(f213,plain,( 2.77/0.77 ((~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: ((((^[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))))))) @ Y1 @ catalunya) & ((^[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))))))) @ Y1 @ paris)) => (((^[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))))))) @ Y1 @ france) & ((^[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))))))) @ Y1 @ spain))))))))) = $true)), 2.77/0.77 inference(definition_unfolding,[],[f162,f177,f167,f206,f206,f206,f206])). 2.77/0.77 thf(f206,plain,( 2.77/0.77 (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))))))))), 2.77/0.77 inference(definition_unfolding,[],[f195,f155,f155])). 2.77/0.77 thf(f155,plain,( 2.77/0.77 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))), 2.77/0.77 inference(cnf_transformation,[],[f72])). 2.77/0.77 thf(f72,plain,( 2.77/0.77 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))), 2.77/0.77 inference(fool_elimination,[],[f71])). 2.77/0.77 thf(f71,plain,( 2.77/0.77 ((^[X0 : reg, X1 : reg] : (! [X2 : reg] : ((c @ X2 @ X0) => (c @ X2 @ X1)))) = p)), 2.77/0.77 inference(rectify,[],[f33])). 2.77/0.77 thf(f33,axiom,( 2.77/0.77 ((^[X0 : reg, X1 : reg] : (! [X11 : reg] : ((c @ X11 @ X0) => (c @ X11 @ X1)))) = p)), 2.77/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p',p)). 2.77/0.77 thf(f195,plain,( 2.77/0.77 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y1) & (p @ Y2 @ Y0))))))))), 2.77/0.77 inference(cnf_transformation,[],[f102])). 2.77/0.77 thf(f102,plain,( 2.77/0.77 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y1) & (p @ Y2 @ Y0))))))))), 2.77/0.77 inference(fool_elimination,[],[f101])). 2.77/0.77 thf(f101,plain,( 2.77/0.77 (o = (^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((p @ X2 @ X0) & (p @ X2 @ X1)))))), 2.77/0.77 inference(rectify,[],[f35])). 2.77/0.77 thf(f35,axiom,( 2.77/0.77 (o = (^[X0 : reg, X1 : reg] : (? [X11 : reg] : ((p @ X11 @ X0) & (p @ X11 @ X1)))))), 2.77/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p',o)). 2.77/0.77 thf(f167,plain,( 2.77/0.77 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))), 2.77/0.77 inference(cnf_transformation,[],[f140])). 2.77/0.77 thf(f140,plain,( 2.77/0.77 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))), 2.77/0.77 inference(fool_elimination,[],[f139])). 2.77/0.77 thf(f139,plain,( 2.77/0.77 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))) = mbox)), 2.77/0.77 inference(rectify,[],[f16])). 2.77/0.77 thf(f16,axiom,( 2.77/0.77 ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(X6 @ X2 @ X7)))) = mbox)), 2.77/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)). 2.77/0.77 thf(f177,plain,( 2.77/0.77 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))), 2.77/0.77 inference(cnf_transformation,[],[f80])). 2.77/0.77 thf(f80,plain,( 2.77/0.77 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))), 2.77/0.77 inference(fool_elimination,[],[f79])). 2.77/0.77 thf(f79,plain,( 2.77/0.77 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)), 2.77/0.77 inference(rectify,[],[f28])). 2.77/0.77 thf(f28,axiom,( 2.77/0.77 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)), 2.77/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)). 2.77/0.77 thf(f162,plain,( 2.77/0.77 ((~ (mvalid @ (mbox @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: (((o @ Y1 @ catalunya) & (o @ Y1 @ paris)) => ((o @ Y1 @ france) & (o @ Y1 @ spain))))))))) = $true)), 2.77/0.77 inference(cnf_transformation,[],[f78])). 2.77/0.77 thf(f78,plain,( 2.77/0.77 ((~ (mvalid @ (mbox @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: (((o @ Y1 @ catalunya) & (o @ Y1 @ paris)) => ((o @ Y1 @ france) & (o @ Y1 @ spain))))))))) = $true)), 2.77/0.77 inference(fool_elimination,[],[f77])). 2.77/0.77 thf(f77,plain,( 2.77/0.77 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X1 : reg] : (((o @ X1 @ paris) & (o @ X1 @ catalunya)) => ((o @ X1 @ spain) & (o @ X1 @ france)))))))), 2.77/0.77 inference(rectify,[],[f46])). 2.77/0.77 thf(f46,negated_conjecture,( 2.77/0.77 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X11 : reg] : (((o @ X11 @ paris) & (o @ X11 @ catalunya)) => ((o @ X11 @ spain) & (o @ X11 @ france)))))))), 2.77/0.77 inference(negated_conjecture,[],[f45])). 2.77/0.77 thf(f45,conjecture,( 2.77/0.77 (mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X11 : reg] : (((o @ X11 @ paris) & (o @ X11 @ catalunya)) => ((o @ X11 @ spain) & (o @ X11 @ france)))))))), 2.77/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)). 2.77/0.77 thf(f4423,plain,( 2.77/0.77 ( ! [X1 : reg] : ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ france)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ sK11))))) = $false)) ) | ~spl0_8), 2.77/0.77 inference(beta_eta_normalization,[],[f4421])). 2.77/0.77 thf(f4421,plain,( 2.77/0.77 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))))) @ X1) = $false)) ) | ~spl0_8), 2.77/0.77 inference(pi_clausification,[],[f762])). 2.77/0.77 thf(f762,plain,( 2.77/0.77 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))) = $false) | ~spl0_8), 2.77/0.77 inference(avatar_component_clause,[],[f761])). 2.77/0.77 thf(f761,plain,( 2.77/0.77 spl0_8 <=> ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))) = $false)), 2.77/0.77 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])). 2.77/0.77 thf(f4949,plain,( 2.77/0.77 ((c @ sK36 @ paris) = $true) | ~spl0_8), 2.77/0.77 inference(trivial_inequality_removal,[],[f4948])). 2.77/0.77 thf(f4948,plain,( 2.77/0.77 ($true = $false) | ((c @ sK36 @ paris) = $true) | ~spl0_8), 2.77/0.77 inference(boolean_simplification,[],[f4942])). 2.77/0.77 thf(f4942,plain,( 2.77/0.77 ((c @ sK36 @ paris) = $true) | (($false => (c @ sK36 @ france)) = $false) | ~spl0_8), 2.77/0.77 inference(superposition,[],[f4923,f1296])). 2.77/0.77 thf(f1296,plain,( 2.77/0.77 ( ! [X1 : reg] : (((c @ X1 @ sK18) = $false) | ((c @ X1 @ paris) = $true)) )), 2.77/0.77 inference(binary_proxy_clausification,[],[f1290])). 2.77/0.77 thf(f1290,plain,( 2.77/0.77 ( ! [X1 : reg] : ((((c @ X1 @ sK18) => (c @ X1 @ paris)) = $true)) )), 2.77/0.77 inference(beta_eta_normalization,[],[f1289])). 2.77/0.77 thf(f1289,plain,( 2.77/0.77 ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ sK18) => (c @ Y0 @ paris))) @ X1))) )), 2.77/0.77 inference(pi_clausification,[],[f1275])). 2.77/0.77 thf(f1275,plain,( 2.77/0.77 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK18) => (c @ Y0 @ paris)))) = $true)), 2.77/0.77 inference(boolean_simplification,[],[f1274])). 2.77/0.77 thf(f1274,plain,( 2.77/0.77 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK18) => (c @ Y0 @ paris)))) & $true) = $true)), 2.77/0.77 inference(backward_demodulation,[],[f1263,f1272])). 2.77/0.77 thf(f4418,plain,( 2.77/0.77 ~spl0_3 | ~spl0_9), 2.77/0.77 inference(avatar_contradiction_clause,[],[f4417])). 2.77/0.77 thf(f4417,plain,( 2.77/0.77 $false | (~spl0_3 | ~spl0_9)), 2.77/0.77 inference(trivial_inequality_removal,[],[f4416])). 2.77/0.77 thf(f4416,plain,( 2.77/0.77 ($true = $false) | (~spl0_3 | ~spl0_9)), 2.77/0.77 inference(forward_demodulation,[],[f4410,f4318])). 2.77/0.77 thf(f4318,plain,( 2.77/0.77 ($false = (c @ sK33 @ catalunya)) | (~spl0_3 | ~spl0_9)), 2.77/0.77 inference(trivial_inequality_removal,[],[f4317])). 2.77/0.77 thf(f4317,plain,( 2.77/0.77 ($false = (c @ sK33 @ catalunya)) | ($true = $false) | (~spl0_3 | ~spl0_9)), 2.77/0.77 inference(boolean_simplification,[],[f4311])). 2.77/0.77 thf(f4311,plain,( 2.77/0.77 ($false = (c @ sK33 @ catalunya)) | (((c @ sK33 @ sK20) => $true) = $false) | (~spl0_3 | ~spl0_9)), 2.77/0.77 inference(superposition,[],[f4295,f521])). 2.77/0.77 thf(f521,plain,( 2.77/0.77 ( ! [X1 : reg] : (((c @ X1 @ spain) = $true) | ((c @ X1 @ catalunya) = $false)) ) | ~spl0_3), 2.77/0.77 inference(binary_proxy_clausification,[],[f511])). 2.77/0.77 thf(f511,plain,( 2.77/0.77 ( ! [X1 : reg] : ((((c @ X1 @ catalunya) => (c @ X1 @ spain)) = $true)) ) | ~spl0_3), 2.77/0.77 inference(beta_eta_normalization,[],[f509])). 2.77/0.77 thf(f509,plain,( 2.77/0.77 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))) @ X1) = $true)) ) | ~spl0_3), 2.77/0.77 inference(pi_clausification,[],[f394])). 2.77/0.77 thf(f394,plain,( 2.77/0.77 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) = $true) | ~spl0_3), 2.77/0.77 inference(binary_proxy_clausification,[],[f392])). 2.77/0.77 thf(f392,plain,( 2.77/0.77 ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))))) | ~spl0_3), 2.77/0.77 inference(boolean_simplification,[],[f391])). 2.77/0.77 thf(f391,plain,( 2.77/0.77 ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))) & $true) = $true) | ~spl0_3), 2.77/0.77 inference(backward_demodulation,[],[f324,f389])). 2.77/0.77 thf(f389,plain,( 2.77/0.77 ($true = (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ spain)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ catalunya)))))) | ~spl0_3), 2.77/0.77 inference(binary_proxy_clausification,[],[f324])). 2.77/0.77 thf(f324,plain,( 2.77/0.77 ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))) & (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ spain)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ catalunya)))))) = $true) | ~spl0_3), 2.77/0.77 inference(avatar_component_clause,[],[f323])). 2.77/0.77 thf(f323,plain,( 2.77/0.77 spl0_3 <=> ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))) & (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ spain)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ catalunya)))))) = $true)), 2.77/0.77 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])). 2.77/0.77 thf(f4295,plain,( 2.77/0.77 (((c @ sK33 @ sK20) => (c @ sK33 @ spain)) = $false) | ~spl0_9), 2.77/0.77 inference(beta_eta_normalization,[],[f4289])). 2.77/0.77 thf(f4289,plain,( 2.77/0.77 (((^[Y0 : reg]: ((c @ Y0 @ sK20) => (c @ Y0 @ spain))) @ sK33) = $false) | ~spl0_9), 2.77/0.77 inference(sigma_clausification,[],[f3920])). 2.77/0.77 thf(f3920,plain,( 2.77/0.77 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK20) => (c @ Y0 @ spain)))) = $false) | ~spl0_9), 2.77/0.77 inference(boolean_simplification,[],[f3912])). 2.77/0.77 thf(f3912,plain,( 2.77/0.77 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK20) => (c @ Y0 @ spain)))) & $true) = $false) | ~spl0_9), 2.77/0.77 inference(superposition,[],[f3901,f1576])). 2.77/0.77 thf(f1576,plain,( 2.77/0.77 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK20) => (c @ Y0 @ sK11)))))), 2.77/0.77 inference(binary_proxy_clausification,[],[f1565])). 2.77/0.77 thf(f1565,plain,( 2.77/0.77 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK20) => (c @ Y0 @ catalunya)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK20) => (c @ Y0 @ sK11))))) = $true)), 2.77/0.77 inference(beta_eta_normalization,[],[f1564])). 2.77/0.77 thf(f1564,plain,( 2.77/0.77 ($true = ((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))))) @ sK20))), 2.77/0.77 inference(sigma_clausification,[],[f1248])). 2.77/0.77 thf(f3901,plain,( 2.77/0.77 ( ! [X1 : reg] : ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ spain)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ sK11))))) = $false)) ) | ~spl0_9), 2.77/0.77 inference(beta_eta_normalization,[],[f3900])). 2.77/0.77 thf(f3900,plain,( 2.77/0.77 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))))) @ X1) = $false)) ) | ~spl0_9), 2.77/0.77 inference(pi_clausification,[],[f765])). 2.77/0.77 thf(f765,plain,( 2.77/0.77 ($false = (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))))))) | ~spl0_9), 2.77/0.77 inference(avatar_component_clause,[],[f764])). 2.77/0.77 thf(f764,plain,( 2.77/0.77 spl0_9 <=> ($false = (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))))), 2.77/0.77 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])). 2.77/0.77 thf(f4410,plain,( 2.77/0.77 ($true = (c @ sK33 @ catalunya)) | ~spl0_9), 2.77/0.77 inference(boolean_simplification,[],[f4406])). 2.77/0.77 thf(f4406,plain,( 2.77/0.77 ($true = ($true => (c @ sK33 @ catalunya))) | ~spl0_9), 2.77/0.77 inference(superposition,[],[f1590,f4310])). 2.77/0.77 thf(f4310,plain,( 2.77/0.77 ($true = (c @ sK33 @ sK20)) | ~spl0_9), 2.77/0.77 inference(binary_proxy_clausification,[],[f4295])). 2.77/0.77 thf(f1590,plain,( 2.77/0.77 ( ! [X1 : reg] : (($true = ((c @ X1 @ sK20) => (c @ X1 @ catalunya)))) )), 2.77/0.77 inference(beta_eta_normalization,[],[f1588])). 2.77/0.77 thf(f1588,plain,( 2.77/0.77 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ sK20) => (c @ Y0 @ catalunya))) @ X1) = $true)) )), 2.77/0.77 inference(pi_clausification,[],[f1579])). 2.77/0.77 thf(f1579,plain,( 2.77/0.77 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK20) => (c @ Y0 @ catalunya)))) = $true)), 2.77/0.77 inference(boolean_simplification,[],[f1578])). 2.77/0.77 thf(f1578,plain,( 2.77/0.77 ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK20) => (c @ Y0 @ catalunya)))) & $true))), 2.77/0.77 inference(backward_demodulation,[],[f1565,f1576])). 2.77/0.77 thf(f766,plain,( 2.77/0.77 spl0_8 | spl0_9), 2.77/0.77 inference(avatar_split_clause,[],[f759,f764,f761])). 2.77/0.77 thf(f759,plain,( 2.77/0.77 ($false = (?? @ 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 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))) = $false)), 2.77/0.77 inference(binary_proxy_clausification,[],[f743])). 2.77/0.77 thf(f743,plain,( 2.77/0.77 (((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))) & (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))))))) = $false)), 2.77/0.77 inference(boolean_simplification,[],[f742])). 2.77/0.77 thf(f742,plain,( 2.77/0.77 (($true => ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))) & (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11))))))))) = $false)), 2.77/0.77 inference(backward_demodulation,[],[f723,f741])). 2.77/0.77 thf(f414,plain,( 2.77/0.77 spl0_5 | spl0_4), 2.77/0.77 inference(avatar_split_clause,[],[f410,f326,f412])). 2.77/0.77 thf(f326,plain,( 2.77/0.77 spl0_4 <=> ! [X2,X1] : ((~ (a @ X1 @ X2)) = $true)), 2.77/0.77 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])). 2.77/0.77 thf(f410,plain,( 2.77/0.77 ( ! [X2 : $i,X1 : $i] : (($true = (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france)))))))) | ((~ (a @ X1 @ X2)) = $true)) )), 2.77/0.77 inference(binary_proxy_clausification,[],[f361])). 2.77/0.77 thf(f361,plain,( 2.77/0.77 ( ! [X2 : $i,X1 : $i] : (($true = ((~ (a @ X1 @ X2)) | (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france)))))))))) )), 2.77/0.77 inference(beta_eta_normalization,[],[f360])). 2.77/0.77 thf(f360,plain,( 2.77/0.77 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris)))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ paris)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ france))))))))) @ X2) = $true)) )), 2.77/0.77 inference(pi_clausification,[],[f346])). 2.77/0.77 thf(f346,plain,( 2.77/0.77 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris)))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ paris)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ france)))))))))) = $true)) )), 2.77/0.77 inference(beta_eta_normalization,[],[f345])). 2.77/0.77 thf(f345,plain,( 2.77/0.77 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris)))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ paris)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ france))))))))))) @ X1) = $true)) )), 2.77/0.77 inference(pi_clausification,[],[f219])). 2.77/0.77 thf(f219,plain,( 2.77/0.77 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris)))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ paris)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ france)))))))))))) = $true)), 2.77/0.77 inference(beta_eta_normalization,[],[f217])). 2.77/0.77 thf(f217,plain,( 2.77/0.77 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)))))) @ Y1 @ Y2) & (~ (?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[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)) & (c @ Y4 @ Y5))))) @ Y3 @ Y1) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[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)) & (c @ Y4 @ Y5))))) @ Y3 @ Y2))))))))) @ paris @ france)))) = $true)), 2.77/0.77 inference(definition_unfolding,[],[f176,f177,f167,f211])). 2.77/0.77 thf(f211,plain,( 2.77/0.77 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3) & (~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)))))) @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[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)) & (c @ Y3 @ Y4))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[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)) & (c @ Y3 @ Y4))))) @ Y2 @ Y1))))))))))), 2.77/0.77 inference(definition_unfolding,[],[f165,f209,f208,f208])). 2.77/0.77 thf(f208,plain,( 2.77/0.77 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ ((^[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)) & (c @ Y0 @ Y1))))))), 2.77/0.77 inference(definition_unfolding,[],[f157,f206])). 2.77/0.77 thf(f157,plain,( 2.77/0.77 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (o @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))), 2.77/0.77 inference(cnf_transformation,[],[f114])). 2.77/0.77 thf(f114,plain,( 2.77/0.77 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (o @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))), 2.77/0.77 inference(fool_elimination,[],[f113])). 2.77/0.77 thf(f113,plain,( 2.77/0.77 (ec = (^[X0 : reg, X1 : reg] : ((c @ X0 @ X1) & ~(o @ X0 @ X1))))), 2.77/0.77 inference(rectify,[],[f37])). 2.77/0.77 thf(f37,axiom,( 2.77/0.77 (ec = (^[X0 : reg, X1 : reg] : ((c @ X0 @ X1) & ~(o @ X0 @ X1))))), 2.77/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec)). 2.77/0.77 thf(f209,plain,( 2.77/0.77 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y0 @ Y1) & (~ ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y1 @ Y0)))))))), 2.77/0.77 inference(definition_unfolding,[],[f153,f155,f155])). 2.77/0.77 thf(f153,plain,( 2.77/0.77 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y0 @ Y1) & (~ (p @ Y1 @ Y0)))))))), 2.77/0.77 inference(cnf_transformation,[],[f130])). 2.77/0.77 thf(f130,plain,( 2.77/0.77 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y0 @ Y1) & (~ (p @ Y1 @ Y0)))))))), 2.77/0.77 inference(fool_elimination,[],[f129])). 2.77/0.77 thf(f129,plain,( 2.77/0.77 ((^[X0 : reg, X1 : reg] : (~(p @ X1 @ X0) & (p @ X0 @ X1))) = pp)), 2.77/0.77 inference(rectify,[],[f38])). 2.77/0.77 thf(f38,axiom,( 2.77/0.77 ((^[X0 : reg, X1 : reg] : (~(p @ X1 @ X0) & (p @ X0 @ X1))) = pp)), 2.77/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p',pp)). 2.77/0.77 thf(f165,plain,( 2.77/0.77 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))))))))), 2.77/0.77 inference(cnf_transformation,[],[f55])). 2.77/0.77 thf(f55,plain,( 2.77/0.77 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))))))))), 2.77/0.77 inference(fool_elimination,[],[f54])). 2.77/0.77 thf(f54,plain,( 2.77/0.77 (ntpp = (^[X0 : reg, X1 : reg] : (~? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)) & (pp @ X0 @ X1))))), 2.77/0.77 inference(rectify,[],[f40])). 2.77/0.77 thf(f40,axiom,( 2.77/0.77 (ntpp = (^[X0 : reg, X1 : reg] : (~? [X11 : reg] : ((ec @ X11 @ X1) & (ec @ X11 @ X0)) & (pp @ X0 @ X1))))), 2.77/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ntpp)). 2.77/0.77 thf(f176,plain,( 2.77/0.77 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))) = $true)), 2.77/0.77 inference(cnf_transformation,[],[f142])). 2.77/0.77 thf(f142,plain,( 2.77/0.77 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))) = $true)), 2.77/0.77 inference(fool_elimination,[],[f141])). 2.77/0.77 thf(f141,plain,( 2.77/0.77 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))), 2.77/0.77 inference(rectify,[],[f48])). 2.77/0.77 thf(f48,axiom,( 2.77/0.77 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))), 2.77/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)). 2.77/0.77 thf(f383,plain,( 2.77/0.77 ~spl0_4), 2.77/0.77 inference(avatar_contradiction_clause,[],[f382])). 2.77/0.77 thf(f382,plain,( 2.77/0.77 $false | ~spl0_4), 2.77/0.77 inference(trivial_inequality_removal,[],[f381])). 2.77/0.77 thf(f381,plain,( 2.77/0.77 ($true = $false) | ~spl0_4), 2.77/0.77 inference(boolean_simplification,[],[f380])). 2.77/0.77 thf(f380,plain,( 2.77/0.77 (($true | (!! @ reg @ (^[Y0 : reg]: (((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))) & (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) => ((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))) & (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))))))) = $false) | ~spl0_4), 2.77/0.77 inference(boolean_simplification,[],[f379])). 2.77/0.77 thf(f379,plain,( 2.77/0.77 (((~ $false) | (!! @ reg @ (^[Y0 : reg]: (((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))) & (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) => ((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))) & (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))))))) = $false) | ~spl0_4), 2.77/0.77 inference(forward_demodulation,[],[f378,f331])). 2.77/0.77 thf(f331,plain,( 2.77/0.77 ( ! [X2 : $i,X1 : $i] : (((a @ X1 @ X2) = $false)) ) | ~spl0_4), 2.77/0.77 inference(not_proxy_clausification,[],[f327])). 2.77/0.77 thf(f327,plain,( 2.77/0.77 ( ! [X2 : $i,X1 : $i] : (((~ (a @ X1 @ X2)) = $true)) ) | ~spl0_4), 2.77/0.77 inference(avatar_component_clause,[],[f326])). 2.77/0.77 thf(f328,plain,( 2.77/0.77 spl0_3 | spl0_4), 2.77/0.77 inference(avatar_split_clause,[],[f321,f326,f323])). 2.77/0.77 thf(f321,plain,( 2.77/0.77 ( ! [X2 : $i,X1 : $i] : (((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))) & (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ spain)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ catalunya)))))) = $true) | ((~ (a @ X1 @ X2)) = $true)) )), 2.77/0.77 inference(binary_proxy_clausification,[],[f317])). 2.77/0.77 thf(f317,plain,( 2.77/0.77 ( ! [X2 : $i,X1 : $i] : ((((~ (a @ X1 @ X2)) | (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))) & (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ spain)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ catalunya))))))) = $true)) )), 2.77/0.77 inference(beta_eta_normalization,[],[f316])). 2.77/0.77 thf(f316,plain,( 2.77/0.77 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya)))))) & (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ spain)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ catalunya)))))))) @ X2) = $true)) )), 2.77/0.77 inference(pi_clausification,[],[f281])). 2.77/0.77 thf(f281,plain,( 2.77/0.77 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya)))))) & (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ spain)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ catalunya))))))))) = $true)) )), 2.77/0.77 inference(beta_eta_normalization,[],[f280])). 2.77/0.77 thf(f280,plain,( 2.77/0.77 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya)))))) & (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ spain)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ catalunya)))))))))) @ X1) = $true)) )), 2.77/0.77 inference(pi_clausification,[],[f225])). 2.77/0.77 thf(f225,plain,( 2.77/0.77 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya)))))) & (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ spain)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ catalunya))))))))))) = $true)), 2.77/0.77 inference(beta_eta_normalization,[],[f214])). 2.77/0.77 thf(f214,plain,( 2.77/0.77 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)))))) @ Y1 @ Y2) & (?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[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)) & (c @ Y4 @ Y5))))) @ Y3 @ Y2) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[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)) & (c @ Y4 @ Y5))))) @ Y3 @ Y1)))))))) @ catalunya @ spain)))) = $true)), 2.77/0.77 inference(definition_unfolding,[],[f168,f177,f167,f210])). 2.77/0.77 thf(f210,plain,( 2.77/0.77 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3) & (~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)))))) @ Y0 @ Y1) & (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[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)) & (c @ Y3 @ Y4))))) @ Y2 @ Y1) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[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)) & (c @ Y3 @ Y4))))) @ Y2 @ Y0)))))))))), 2.77/0.77 inference(definition_unfolding,[],[f189,f209,f208,f208])). 2.77/0.77 thf(f189,plain,( 2.77/0.77 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y1) & (ec @ Y2 @ Y0)))))))))), 2.77/0.77 inference(cnf_transformation,[],[f57])). 2.77/0.77 thf(f57,plain,( 2.77/0.77 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y1) & (ec @ Y2 @ Y0)))))))))), 2.77/0.77 inference(fool_elimination,[],[f56])). 2.77/0.77 thf(f56,plain,( 2.77/0.77 ((^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((ec @ X2 @ X0) & (ec @ X2 @ X1)) & (pp @ X0 @ X1))) = tpp)), 2.77/0.77 inference(rectify,[],[f39])). 2.77/0.77 thf(f39,axiom,( 2.77/0.77 ((^[X0 : reg, X1 : reg] : (? [X11 : reg] : ((ec @ X11 @ X0) & (ec @ X11 @ X1)) & (pp @ X0 @ X1))) = tpp)), 2.77/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p',tpp)). 2.77/0.77 thf(f168,plain,( 2.77/0.77 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))) = $true)), 2.77/0.77 inference(cnf_transformation,[],[f53])). 2.77/0.77 thf(f53,plain,( 2.77/0.77 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))) = $true)), 2.77/0.77 inference(fool_elimination,[],[f52])). 2.77/0.77 thf(f52,plain,( 2.77/0.77 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))), 2.77/0.77 inference(rectify,[],[f47])). 2.77/0.77 thf(f47,axiom,( 2.77/0.77 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))), 2.77/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1)). 2.77/0.77 % SZS output end Proof for theBenchmark 2.77/0.77 % (15066)------------------------------ 2.77/0.77 % (15066)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.77/0.77 % (15066)Termination reason: Refutation 2.77/0.77 2.77/0.77 % (15066)Memory used [KB]: 7803 2.77/0.77 % (15066)Time elapsed: 0.292 s 2.77/0.77 % (15066)Instructions burned: 528 (million) 2.77/0.77 % (15066)------------------------------ 2.77/0.77 % (15066)------------------------------ 2.77/0.77 % (15033)Success in time 0.386 s 2.77/0.77 % Vampire---4.8 exiting 2.77/0.77 EOF