0.12/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.12 % Command : run_vampire %s %d THM 0.13/0.34 % Computer : n021.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Wed Jul 30 06:59:49 EDT 2025 0.13/0.34 % CPUTime : 0.13/0.36 This is a TFF_ problem 0.13/0.36 Running first-order theorem proving 0.13/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.22/0.48 % (2777)Running in auto input_syntax mode. Trying TPTP 0.22/0.48 % (2803)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3623803250:i=33:rtra=on_1199 on theBenchmark for (1199ds/33Mi) 0.22/0.48 % (2777)Running in auto input_syntax mode. Trying TPTP 0.22/0.48 % (2801)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3290428228:i=4:rtra=on_1199 on theBenchmark for (1199ds/4Mi) 0.22/0.48 % (2777)Running in auto input_syntax mode. Trying TPTP 0.22/0.48 % (2798)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1373288108:i=307:kws=precedence:nm=0:rtra=on_1199 on theBenchmark for (1199ds/307Mi) 0.22/0.48 % (2777)Running in auto input_syntax mode. Trying TPTP 0.22/0.48 % (2799)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1700616662:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_1199 on theBenchmark for (1199ds/201Mi) 0.22/0.48 % (2777)Running in auto input_syntax mode. Trying TPTP 0.22/0.48 % (2797)dis+1002_16:1_to=lpo:sil=64000:norm_ineq=on:sas=z3:si=on:gve=force:uwa=one_side_constant:random_seed=1425001589:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_1199 on theBenchmark for (1199ds/12Mi) 0.22/0.48 % (2777)Running in auto input_syntax mode. Trying TPTP 0.22/0.48 % (2802)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1815876960:i=46:rtra=on_1199 on theBenchmark for (1199ds/46Mi) 0.22/0.49 % (2777)Running in auto input_syntax mode. Trying TPTP 0.22/0.49 % (2800)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=539174868:s2a=on:i=7:rtra=on:inst=on_1199 on theBenchmark for (1199ds/7Mi) 0.22/0.49 % (2801)Instruction limit reached! 0.22/0.49 % (2801)------------------------------ 0.22/0.49 % (2801)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.49 % (2801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.49 % (2801)Termination reason: Instruction limit 0.22/0.49 % (2801)Termination phase: Property scanning 0.22/0.49 0.22/0.49 % (2801)Time elapsed: 0.003 s 0.22/0.49 % (2801)Peak memory usage: 7 MB 0.22/0.49 % (2801)Instructions burned: 4 (million) 0.22/0.49 % (2797)Instruction limit reached! 0.22/0.49 % (2797)------------------------------ 0.22/0.49 % (2797)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.49 % (2797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.49 % (2797)Termination reason: Instruction limit 0.22/0.49 % (2797)Termination phase: Property scanning 0.22/0.49 0.22/0.49 % (2797)Time elapsed: 0.005 s 0.22/0.49 % (2797)Peak memory usage: 7 MB 0.22/0.49 % (2797)Instructions burned: 12 (million) 0.22/0.49 % (2800)Instruction limit reached! 0.22/0.49 % (2800)------------------------------ 0.22/0.49 % (2800)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.49 % (2800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.49 % (2800)Termination reason: Instruction limit 0.22/0.49 % (2800)Termination phase: Property scanning 0.22/0.49 0.22/0.49 % (2800)Time elapsed: 0.004 s 0.22/0.49 % (2800)Peak memory usage: 7 MB 0.22/0.49 % (2800)Instructions burned: 7 (million) 0.22/0.50 % (2803)Instruction limit reached! 0.22/0.50 % (2803)------------------------------ 0.22/0.50 % (2803)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.50 % (2803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.50 % (2803)Termination reason: Instruction limit 0.22/0.50 % (2803)Termination phase: Preprocessing 1 0.22/0.50 0.22/0.50 % (2803)Time elapsed: 0.012 s 0.22/0.50 % (2803)Peak memory usage: 7 MB 0.22/0.50 % (2803)Instructions burned: 34 (million) 0.22/0.51 % (2802)Instruction limit reached! 0.22/0.51 % (2802)------------------------------ 0.22/0.51 % (2802)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.51 % (2802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.51 % (2802)Termination reason: Instruction limit 0.22/0.51 % (2802)Termination phase: Property scanning 0.22/0.51 0.22/0.51 % (2802)Time elapsed: 0.024 s 0.22/0.51 % (2802)Peak memory usage: 9 MB 0.22/0.51 % (2802)Instructions burned: 47 (million) 0.22/0.54 % (2777)Running in auto input_syntax mode. Trying TPTP 0.22/0.54 % (2828)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3510055933:i=24:canc=force:rtra=on_1198 on theBenchmark for (1198ds/24Mi) 0.22/0.54 % (2777)Running in auto input_syntax mode. Trying TPTP 0.22/0.54 % (2825)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1143904208:st=5:i=14:sd=10:afp=4000:rtra=on:ss=axioms:rawr=on_1198 on theBenchmark for (1198ds/14Mi) 0.22/0.55 % (2825)Instruction limit reached! 0.22/0.55 % (2825)------------------------------ 0.22/0.55 % (2825)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.55 % (2825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.55 % (2825)Termination reason: Instruction limit 0.22/0.55 % (2825)Termination phase: Property scanning 0.22/0.55 0.22/0.55 % (2825)Time elapsed: 0.004 s 0.22/0.55 % (2825)Peak memory usage: 7 MB 0.22/0.55 % (2825)Instructions burned: 15 (million) 0.22/0.55 % (2828)Instruction limit reached! 0.22/0.55 % (2828)------------------------------ 0.22/0.55 % (2828)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.55 % (2828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.55 % (2828)Termination reason: Instruction limit 0.22/0.55 % (2828)Termination phase: Property scanning 0.22/0.55 0.22/0.55 % (2828)Time elapsed: 0.007 s 0.22/0.55 % (2828)Peak memory usage: 7 MB 0.22/0.55 % (2828)Instructions burned: 28 (million) 0.22/0.55 % (2777)Running in auto input_syntax mode. Trying TPTP 0.22/0.55 % (2826)dis+1011_2:1_to=kbo:sil=128000:tgt=full:norm_ineq=on:fde=none:si=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=882451618:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_1198 on theBenchmark for (1198ds/29Mi) 0.22/0.55 % (2777)Running in auto input_syntax mode. Trying TPTP 0.22/0.55 % (2827)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3122037238:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_1198 on theBenchmark for (1198ds/16Mi) 0.22/0.56 % (2827)Instruction limit reached! 0.22/0.56 % (2827)------------------------------ 0.22/0.56 % (2827)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.56 % (2827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.56 % (2827)Termination reason: Instruction limit 0.22/0.56 % (2827)Termination phase: Property scanning 0.22/0.56 0.22/0.56 % (2827)Time elapsed: 0.004 s 0.22/0.56 % (2827)Peak memory usage: 7 MB 0.22/0.56 % (2827)Instructions burned: 17 (million) 0.22/0.56 % (2826)Instruction limit reached! 0.22/0.56 % (2826)------------------------------ 0.22/0.56 % (2826)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.56 % (2826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.56 % (2826)Termination reason: Instruction limit 0.22/0.56 % (2826)Termination phase: Property scanning 0.22/0.56 0.22/0.56 % (2826)Time elapsed: 0.007 s 0.22/0.56 % (2826)Peak memory usage: 7 MB 0.22/0.56 % (2826)Instructions burned: 29 (million) 0.22/0.56 % (2777)Running in auto input_syntax mode. Trying TPTP 0.22/0.56 % (2829)ott+1010_8_to=lpo:sil=128000:norm_ineq=on:si=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=1700973340:i=27:canc=cautious:fsr=off:rtra=on:uhcvi=off_1198 on theBenchmark for (1198ds/27Mi) 0.22/0.57 % (2799)Instruction limit reached! 0.22/0.57 % (2799)------------------------------ 0.22/0.57 % (2799)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.57 % (2799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.57 % (2799)Termination reason: Instruction limit 0.22/0.57 % (2799)Termination phase: Saturation 0.22/0.57 0.22/0.57 % (2799)Time elapsed: 0.084 s 0.22/0.57 % (2799)Peak memory usage: 30 MB 0.22/0.57 % (2799)Instructions burned: 201 (million) 1.31/0.57 % (2829)Instruction limit reached! 1.31/0.57 % (2829)------------------------------ 1.31/0.57 % (2829)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.31/0.57 % (2829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.31/0.57 % (2829)Termination reason: Instruction limit 1.31/0.57 % (2829)Termination phase: Preprocessing 1 1.31/0.57 1.31/0.57 % (2829)Time elapsed: 0.008 s 1.31/0.57 % (2829)Peak memory usage: 7 MB 1.31/0.57 % (2829)Instructions burned: 32 (million) 1.43/0.59 % (2777)Running in auto input_syntax mode. Trying TPTP 1.43/0.59 % (2832)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1458483619:i=85:gtgl=4:rtra=on:gtg=exists_sym_1198 on theBenchmark for (1198ds/85Mi) 1.43/0.59 % (2777)Running in auto input_syntax mode. Trying TPTP 1.43/0.59 % (2833)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=4290238654:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_1198 on theBenchmark for (1198ds/2Mi) 1.43/0.59 % (2833)Instruction limit reached! 1.43/0.59 % (2833)------------------------------ 1.43/0.59 % (2833)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.43/0.59 % (2833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.43/0.59 % (2833)Termination reason: Instruction limit 1.43/0.59 % (2833)Termination phase: shuffling 1.43/0.59 1.43/0.59 % (2833)Time elapsed: 0.001 s 1.43/0.59 % (2833)Peak memory usage: 7 MB 1.43/0.59 % (2833)Instructions burned: 2 (million) 1.43/0.60 % (2777)Running in auto input_syntax mode. Trying TPTP 1.43/0.60 % (2836)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=4140853215:i=181:rtra=on:ss=axioms:ev=cautious_1198 on theBenchmark for (1198ds/181Mi) 1.43/0.60 % (2777)Running in auto input_syntax mode. Trying TPTP 1.43/0.60 % (2837)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=1003820709:i=4:ep=RST:ins=2:rtra=on_1198 on theBenchmark for (1198ds/4Mi) 1.43/0.60 % (2837)Instruction limit reached! 1.43/0.60 % (2837)------------------------------ 1.43/0.60 % (2837)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.43/0.60 % (2837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.43/0.60 % (2837)Termination reason: Instruction limit 1.43/0.60 % (2837)Termination phase: Property scanning 1.43/0.60 1.43/0.60 % (2837)Time elapsed: 0.002 s 1.43/0.60 % (2837)Peak memory usage: 7 MB 1.43/0.60 % (2837)Instructions burned: 6 (million) 1.43/0.61 % (2777)Running in auto input_syntax mode. Trying TPTP 1.43/0.61 % (2840)lrs+10_1_thi=all:si=on:fd=off:random_seed=1462204609:i=53:rtra=on:gtg=all_1197 on theBenchmark for (1197ds/53Mi) 1.43/0.61 % (2832)Instruction limit reached! 1.43/0.61 % (2832)------------------------------ 1.43/0.61 % (2832)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.43/0.61 % (2832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.43/0.61 % (2832)Termination reason: Instruction limit 1.43/0.61 % (2832)Termination phase: Preprocessing 3 1.43/0.61 1.43/0.61 % (2832)Time elapsed: 0.023 s 1.43/0.61 % (2832)Peak memory usage: 9 MB 1.43/0.61 % (2832)Instructions burned: 88 (million) 1.43/0.61 % (2777)Running in auto input_syntax mode. Trying TPTP 1.43/0.61 % (2839)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=1992900909:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_1197 on theBenchmark for (1197ds/66Mi) 1.58/0.63 % (2840)Instruction limit reached! 1.58/0.63 % (2840)------------------------------ 1.58/0.63 % (2840)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.58/0.63 % (2840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.58/0.63 % (2840)Termination reason: Instruction limit 1.58/0.63 % (2840)Termination phase: Property scanning 1.58/0.63 1.58/0.63 % (2840)Time elapsed: 0.013 s 1.58/0.63 % (2840)Peak memory usage: 7 MB 1.58/0.63 % (2840)Instructions burned: 56 (million) 1.65/0.63 % (2839)Instruction limit reached! 1.65/0.63 % (2839)------------------------------ 1.65/0.63 % (2839)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.65/0.63 % (2839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.65/0.63 % (2839)Termination reason: Instruction limit 1.65/0.63 % (2839)Termination phase: Property scanning 1.65/0.63 1.65/0.63 % (2839)Time elapsed: 0.021 s 1.65/0.63 % (2839)Peak memory usage: 9 MB 1.65/0.63 % (2839)Instructions burned: 78 (million) 1.65/0.64 % (2777)Running in auto input_syntax mode. Trying TPTP 1.65/0.64 % (2843)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=2191324751:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_1197 on theBenchmark for (1197ds/8Mi) 1.65/0.64 % (2843)Instruction limit reached! 1.65/0.64 % (2843)------------------------------ 1.65/0.64 % (2843)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.65/0.64 % (2843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.65/0.64 % (2843)Termination reason: Instruction limit 1.65/0.64 % (2843)Termination phase: Property scanning 1.65/0.64 1.65/0.64 % (2843)Time elapsed: 0.003 s 1.65/0.64 % (2843)Peak memory usage: 7 MB 1.65/0.64 % (2843)Instructions burned: 12 (million) 1.65/0.65 % (2798)Instruction limit reached! 1.65/0.65 % (2798)------------------------------ 1.65/0.65 % (2798)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.65/0.65 % (2777)Running in auto input_syntax mode. Trying TPTP 1.65/0.65 % (2846)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=3558684638:st=3:i=2:rtra=on:ss=axioms_1197 on theBenchmark for (1197ds/2Mi) 1.65/0.65 % (2798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.65/0.65 % (2798)Termination reason: Instruction limit 1.65/0.65 % (2798)Termination phase: Saturation 1.65/0.65 1.65/0.65 % (2798)Time elapsed: 0.163 s 1.65/0.65 % (2798)Peak memory usage: 32 MB 1.65/0.65 % (2798)Instructions burned: 307 (million) 1.65/0.65 % (2846)Instruction limit reached! 1.65/0.65 % (2846)------------------------------ 1.65/0.65 % (2846)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.65/0.65 % (2846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.65/0.65 % (2846)Termination reason: Instruction limit 1.65/0.65 % (2846)Termination phase: Property scanning 1.65/0.65 1.65/0.65 % (2846)Time elapsed: 0.002 s 1.65/0.65 % (2846)Peak memory usage: 7 MB 1.65/0.65 % (2846)Instructions burned: 7 (million) 1.65/0.66 % (2777)Running in auto input_syntax mode. Trying TPTP 1.65/0.66 % (2851)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=4062944753:i=2:doe=on:canc=force:asg=cautious:rtra=on_1197 on theBenchmark for (1197ds/2Mi) 1.65/0.66 % (2851)Instruction limit reached! 1.65/0.66 % (2851)------------------------------ 1.65/0.66 % (2851)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.65/0.66 % (2851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.65/0.66 % (2851)Termination reason: Instruction limit 1.65/0.66 % (2851)Termination phase: shuffling 1.65/0.66 1.65/0.66 % (2851)Time elapsed: 0.001 s 1.65/0.66 % (2851)Peak memory usage: 7 MB 1.65/0.66 % (2851)Instructions burned: 2 (million) 1.65/0.66 % (2836)Instruction limit reached! 1.65/0.66 % (2836)------------------------------ 1.65/0.66 % (2836)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.65/0.66 % (2836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.65/0.66 % (2836)Termination reason: Instruction limit 1.65/0.66 % (2836)Termination phase: Saturation 1.65/0.66 1.65/0.66 % (2836)Time elapsed: 0.064 s 1.65/0.66 % (2836)Peak memory usage: 10 MB 1.65/0.66 % (2836)Instructions burned: 182 (million) 1.65/0.67 % (2777)Running in auto input_syntax mode. Trying TPTP 1.65/0.67 % (2857)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=2676460919:i=127:doe=on:rtra=on_1197 on theBenchmark for (1197ds/127Mi) 1.65/0.68 % (2777)Running in auto input_syntax mode. Trying TPTP 1.65/0.68 % (2865)dis+10_1_si=on:random_seed=3339041159:i=10:ep=R:rtra=on_1197 on theBenchmark for (1197ds/10Mi) 1.65/0.68 % (2865)Instruction limit reached! 1.65/0.68 % (2865)------------------------------ 1.65/0.68 % (2865)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.65/0.68 % (2865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.65/0.68 % (2865)Termination reason: Instruction limit 1.65/0.68 % (2865)Termination phase: Property scanning 1.65/0.68 1.65/0.68 % (2865)Time elapsed: 0.004 s 1.65/0.68 % (2865)Peak memory usage: 7 MB 1.65/0.68 % (2865)Instructions burned: 14 (million) 1.65/0.68 % (2777)Running in auto input_syntax mode. Trying TPTP 1.65/0.68 % (2869)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=3467017628:i=26:canc=cautious:av=off:rtra=on_1197 on theBenchmark for (1197ds/26Mi) 1.65/0.69 % (2869)Instruction limit reached! 1.65/0.69 % (2869)------------------------------ 1.65/0.69 % (2869)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.65/0.69 % (2869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.65/0.69 % (2869)Termination reason: Instruction limit 1.65/0.69 % (2869)Termination phase: Property scanning 1.65/0.69 1.65/0.69 % (2869)Time elapsed: 0.007 s 1.65/0.69 % (2869)Peak memory usage: 7 MB 1.65/0.69 % (2869)Instructions burned: 30 (million) 1.65/0.69 % (2777)Running in auto input_syntax mode. Trying TPTP 1.65/0.69 % (2882)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=4118173666:i=2:fsr=off:rtra=on:inst=on_1197 on theBenchmark for (1197ds/2Mi) 1.65/0.70 % (2882)Instruction limit reached! 1.65/0.70 % (2882)------------------------------ 1.65/0.70 % (2882)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.65/0.70 % (2882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.65/0.70 % (2882)Termination reason: Instruction limit 1.65/0.70 % (2882)Termination phase: Property scanning 1.65/0.70 1.65/0.70 % (2882)Time elapsed: 0.002 s 1.65/0.70 % (2882)Peak memory usage: 7 MB 1.65/0.70 % (2882)Instructions burned: 7 (million) 1.65/0.70 % (2777)Running in auto input_syntax mode. Trying TPTP 1.65/0.70 % (2881)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=713619032:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:sgt=32:ev=off_1197 on theBenchmark for (1197ds/35Mi) 2.08/0.71 % (2777)Running in auto input_syntax mode. Trying TPTP 2.08/0.71 % (2890)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:abs=on:uwa=off:s2agt=16:random_seed=2326005929:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_1197 on theBenchmark for (1197ds/8Mi) 2.08/0.71 % (2890)Instruction limit reached! 2.08/0.71 % (2890)------------------------------ 2.08/0.71 % (2890)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.08/0.71 % (2890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.08/0.71 % (2890)Termination reason: Instruction limit 2.08/0.71 % (2890)Termination phase: Property scanning 2.08/0.71 2.08/0.71 % (2890)Time elapsed: 0.003 s 2.08/0.71 % (2890)Peak memory usage: 7 MB 2.08/0.71 % (2890)Instructions burned: 11 (million) 2.08/0.71 % (2777)Running in auto input_syntax mode. Trying TPTP 2.08/0.71 % (2891)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=1913435819:i=370:ep=RS:fsr=off:rtra=on_1197 on theBenchmark for (1197ds/370Mi) 2.08/0.71 % (2881)Instruction limit reached! 2.08/0.71 % (2881)------------------------------ 2.08/0.71 % (2881)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.08/0.71 % (2881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.08/0.71 % (2881)Termination reason: Instruction limit 2.08/0.71 % (2881)Termination phase: Preprocessing 1 2.08/0.71 2.08/0.71 % (2881)Time elapsed: 0.009 s 2.08/0.71 % (2881)Peak memory usage: 7 MB 2.08/0.71 % (2881)Instructions burned: 35 (million) 2.08/0.72 % (2857)Instruction limit reached! 2.08/0.72 % (2857)------------------------------ 2.08/0.72 % (2857)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.08/0.72 % (2857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.08/0.72 % (2857)Termination reason: Instruction limit 2.08/0.72 % (2857)Termination phase: Saturation 2.08/0.72 2.08/0.72 % (2857)Time elapsed: 0.045 s 2.08/0.72 % (2857)Peak memory usage: 29 MB 2.08/0.72 % (2857)Instructions burned: 128 (million) 2.08/0.73 % (2777)Running in auto input_syntax mode. Trying TPTP 2.08/0.73 % (2910)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=2971188877:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_1196 on theBenchmark for (1196ds/13Mi) 2.08/0.73 % (2910)Instruction limit reached! 2.08/0.73 % (2910)------------------------------ 2.08/0.73 % (2910)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.08/0.73 % (2910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.08/0.73 % (2910)Termination reason: Instruction limit 2.08/0.73 % (2910)Termination phase: Property scanning 2.08/0.73 2.08/0.73 % (2910)Time elapsed: 0.004 s 2.08/0.73 % (2910)Peak memory usage: 7 MB 2.08/0.73 % (2910)Instructions burned: 17 (million) 2.08/0.73 % (2777)Running in auto input_syntax mode. Trying TPTP 2.08/0.73 % (2918)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=3338389175:i=226:rtra=on:gtg=position:ss=axioms_1196 on theBenchmark for (1196ds/226Mi) 2.08/0.74 % (2777)Running in auto input_syntax mode. Trying TPTP 2.08/0.74 % (2922)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=3330541721:i=10:rtra=on_1196 on theBenchmark for (1196ds/10Mi) 2.08/0.74 % (2922)Instruction limit reached! 2.08/0.74 % (2922)------------------------------ 2.08/0.74 % (2922)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.08/0.74 % (2922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.08/0.74 % (2922)Termination reason: Instruction limit 2.08/0.74 % (2922)Termination phase: Property scanning 2.08/0.74 2.08/0.74 % (2922)Time elapsed: 0.004 s 2.08/0.74 % (2922)Peak memory usage: 7 MB 2.08/0.74 % (2922)Instructions burned: 16 (million) 2.08/0.75 % (2777)Running in auto input_syntax mode. Trying TPTP 2.08/0.75 % (2938)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=80383267:i=71:rtra=on:gtg=exists_top_1196 on theBenchmark for (1196ds/71Mi) 2.08/0.76 % (2777)Running in auto input_syntax mode. Trying TPTP 2.08/0.76 % (2940)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=898410881:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_1196 on theBenchmark for (1196ds/75Mi) 2.08/0.76 % (2777)Running in auto input_syntax mode. Trying TPTP 2.08/0.76 % (2941)dis+1011_2:1_to=kbo:sil=128000:tgt=full:norm_ineq=on:fde=none:si=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=1578768347:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_1196 on theBenchmark for (1196ds/294Mi) 2.37/0.77 % (2938)Instruction limit reached! 2.37/0.77 % (2938)------------------------------ 2.37/0.77 % (2938)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.37/0.77 % (2938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.37/0.77 % (2938)Termination reason: Instruction limit 2.37/0.77 % (2938)Termination phase: Property scanning 2.37/0.77 2.37/0.77 % (2938)Time elapsed: 0.020 s 2.37/0.77 % (2938)Peak memory usage: 9 MB 2.37/0.77 % (2938)Instructions burned: 75 (million) 2.37/0.78 % (2777)Running in auto input_syntax mode. Trying TPTP 2.37/0.78 % (2950)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=167131778:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_1196 on theBenchmark for (1196ds/130Mi) 2.37/0.78 % (2940)Instruction limit reached! 2.37/0.78 % (2940)------------------------------ 2.37/0.78 % (2940)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.37/0.78 % (2940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.37/0.78 % (2940)Termination reason: Instruction limit 2.37/0.78 % (2940)Termination phase: Property scanning 2.37/0.78 2.37/0.78 % (2940)Time elapsed: 0.021 s 2.37/0.78 % (2940)Peak memory usage: 9 MB 2.37/0.78 % (2940)Instructions burned: 79 (million) 2.37/0.79 % (2777)Running in auto input_syntax mode. Trying TPTP 2.37/0.79 % (2961)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:abs=on:tha=off:nwc=3:random_seed=930488190:i=131:rtra=on_1196 on theBenchmark for (1196ds/131Mi) 2.37/0.81 % (2950)Instruction limit reached! 2.37/0.81 % (2950)------------------------------ 2.37/0.81 % (2950)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.37/0.81 % (2950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.37/0.81 % (2950)Termination reason: Instruction limit 2.37/0.81 % (2950)Termination phase: Property scanning 2.37/0.81 2.37/0.81 % (2950)Time elapsed: 0.032 s 2.37/0.81 % (2950)Peak memory usage: 9 MB 2.37/0.81 % (2950)Instructions burned: 133 (million) 2.37/0.81 % (2918)Instruction limit reached! 2.37/0.81 % (2918)------------------------------ 2.37/0.81 % (2918)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.37/0.81 % (2918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.37/0.81 % (2918)Termination reason: Instruction limit 2.37/0.81 % (2918)Termination phase: Saturation 2.37/0.81 2.37/0.81 % (2918)Time elapsed: 0.075 s 2.37/0.81 % (2918)Peak memory usage: 31 MB 2.37/0.81 % (2918)Instructions burned: 226 (million) 2.37/0.82 % (2777)Running in auto input_syntax mode. Trying TPTP 2.37/0.82 % (2968)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=3458293081:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_1195 on theBenchmark for (1195ds/40Mi) 2.37/0.82 % (2777)Running in auto input_syntax mode. Trying TPTP 2.37/0.82 % (2970)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=1164072430:i=307:rtra=on:gtg=exists_top_1195 on theBenchmark for (1195ds/307Mi) 2.37/0.82 % (2891)Instruction limit reached! 2.37/0.82 % (2891)------------------------------ 2.37/0.82 % (2891)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.37/0.82 % (2891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.37/0.82 % (2891)Termination reason: Instruction limit 2.37/0.82 % (2891)Termination phase: Saturation 2.37/0.82 2.37/0.82 % (2891)Time elapsed: 0.114 s 2.37/0.82 % (2891)Peak memory usage: 13 MB 2.37/0.82 % (2891)Instructions burned: 372 (million) 2.37/0.83 % (2968)Instruction limit reached! 2.37/0.83 % (2968)------------------------------ 2.37/0.83 % (2968)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.37/0.83 % (2968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.37/0.83 % (2968)Termination reason: Instruction limit 2.37/0.83 % (2968)Termination phase: Property scanning 2.37/0.83 2.37/0.83 % (2968)Time elapsed: 0.013 s 2.37/0.83 % (2968)Peak memory usage: 7 MB 2.37/0.83 % (2968)Instructions burned: 55 (million) 2.37/0.84 % (2961)Instruction limit reached! 2.37/0.84 % (2961)------------------------------ 2.37/0.84 % (2961)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.37/0.84 % (2961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.37/0.84 % (2961)Termination reason: Instruction limit 2.37/0.84 % (2961)Termination phase: Saturation 2.37/0.84 2.37/0.84 % (2961)Time elapsed: 0.049 s 2.37/0.84 % (2961)Peak memory usage: 46 MB 2.37/0.84 % (2961)Instructions burned: 131 (million) 2.37/0.85 % (2777)Running in auto input_syntax mode. Trying TPTP 2.37/0.85 % (2973)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=2588510589:i=131:canc=cautious:fsr=off:rtra=on_1195 on theBenchmark for (1195ds/131Mi) 2.37/0.85 % (2777)Running in auto input_syntax mode. Trying TPTP 2.37/0.85 % (2972)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=496689334:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_1195 on theBenchmark for (1195ds/598Mi) 2.37/0.85 % (2941)Instruction limit reached! 2.37/0.85 % (2941)------------------------------ 2.37/0.85 % (2941)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.37/0.86 % (2941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.37/0.86 % (2941)Termination reason: Instruction limit 2.37/0.86 % (2941)Termination phase: Saturation 2.37/0.86 2.37/0.86 % (2941)Time elapsed: 0.094 s 2.37/0.86 % (2941)Peak memory usage: 11 MB 2.37/0.86 % (2941)Instructions burned: 296 (million) 3.16/0.87 % (2777)Running in auto input_syntax mode. Trying TPTP 3.16/0.87 % (2976)dis+11_1_to=lpo:pum=on:sas=z3:si=on:sp=reverse_arity:sos=theory:thsqr=2,1:tha=some:s2agt=20:random_seed=2457845540:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_1195 on theBenchmark for (1195ds/259Mi) 3.16/0.87 % (2777)Running in auto input_syntax mode. Trying TPTP 3.16/0.87 % (2977)dis+10_1_si=on:random_seed=2537450985:s2a=on:i=1000:rtra=on:gtg=exists_all_1195 on theBenchmark for (1195ds/1000Mi) 3.16/0.88 % (2777)Running in auto input_syntax mode. Trying TPTP 3.16/0.88 % (2978)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=4129614376:i=383:fsr=off:rtra=on:ev=force_1195 on theBenchmark for (1195ds/383Mi) 3.16/0.89 % (2973)Instruction limit reached! 3.16/0.89 % (2973)------------------------------ 3.16/0.89 % (2973)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.16/0.89 % (2973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.16/0.89 % (2973)Termination reason: Instruction limit 3.16/0.89 % (2973)Termination phase: Saturation 3.16/0.89 3.16/0.89 % (2973)Time elapsed: 0.040 s 3.16/0.89 % (2973)Peak memory usage: 29 MB 3.16/0.89 % (2973)Instructions burned: 134 (million) 3.16/0.90 % (2777)Running in auto input_syntax mode. Trying TPTP 3.16/0.90 % (2981)lrs+10_1_to=kbo:sil=64000:norm_ineq=on:si=on:sp=unary_frequency:random_seed=1071789710:i=141:doe=on:rtra=on_1195 on theBenchmark for (1195ds/141Mi) 3.16/0.92 % (2970)Instruction limit reached! 3.16/0.92 % (2970)------------------------------ 3.16/0.92 % (2970)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.16/0.92 % (2970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.16/0.92 % (2970)Termination reason: Instruction limit 3.16/0.92 % (2970)Termination phase: Saturation 3.16/0.92 3.16/0.92 % (2970)Time elapsed: 0.091 s 3.16/0.92 % (2970)Peak memory usage: 13 MB 3.16/0.92 % (2970)Instructions burned: 308 (million) 3.38/0.94 % (2981)Instruction limit reached! 3.38/0.94 % (2981)------------------------------ 3.38/0.94 % (2981)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.38/0.94 % (2981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.38/0.94 % (2981)Termination reason: Instruction limit 3.38/0.94 % (2981)Termination phase: Saturation 3.38/0.94 3.38/0.94 % (2981)Time elapsed: 0.037 s 3.38/0.94 % (2981)Peak memory usage: 10 MB 3.38/0.94 % (2981)Instructions burned: 141 (million) 3.38/0.94 % (2777)Running in auto input_syntax mode. Trying TPTP 3.38/0.94 % (2989)lrs+10_1024_to=kbo:sil=128000:norm_ineq=on:fde=unused:sas=z3:si=on:sos=on:tha=off:random_seed=2669893654:i=65:nm=16:rtra=on_1194 on theBenchmark for (1194ds/65Mi) 3.38/0.96 % (2989)Instruction limit reached! 3.38/0.96 % (2989)------------------------------ 3.38/0.96 % (2989)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.38/0.96 % (2989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.38/0.96 % (2989)Termination reason: Instruction limit 3.38/0.96 % (2989)Termination phase: Property scanning 3.38/0.96 3.38/0.96 % (2989)Time elapsed: 0.017 s 3.38/0.96 % (2989)Peak memory usage: 9 MB 3.38/0.96 % (2989)Instructions burned: 68 (million) 3.38/0.96 % (2777)Running in auto input_syntax mode. Trying TPTP 3.38/0.96 % (2994)dis+10_1_to=kbo:sil=128000:tgt=ground:fde=unused:si=on:tha=some:sac=on:random_seed=3241832892:i=121:nm=16:rtra=on_1194 on theBenchmark for (1194ds/121Mi) 3.38/0.97 % (2976)Instruction limit reached! 3.38/0.97 % (2976)------------------------------ 3.38/0.97 % (2976)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.38/0.97 % (2976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.38/0.97 % (2976)Termination reason: Instruction limit 3.38/0.97 % (2976)Termination phase: Saturation 3.38/0.97 3.38/0.97 % (2976)Time elapsed: 0.101 s 3.38/0.97 % (2976)Peak memory usage: 31 MB 3.38/0.97 % (2976)Instructions burned: 261 (million) 3.38/0.98 % (2972)First to succeed. 3.38/0.98 % (2777)Running in auto input_syntax mode. Trying TPTP 3.38/0.98 % (2996)dis+1010_1_anc=none:to=kbo:sil=128000:sas=z3:si=on:sos=on:gve=force:urr=on:uwa=one_side_interpreted:random_seed=4246494955:s2a=on:i=128:s2at=5:ins=3:rtra=on_1194 on theBenchmark for (1194ds/128Mi) 3.38/0.98 % (2972)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2777" 3.38/0.98 % (2777)Running in auto input_syntax mode. Trying TPTP 3.38/0.98 % (2972)Refutation found. Thanks to Tanya! 3.38/0.98 % SZS status Theorem for theBenchmark 3.38/0.98 % SZS output start Proof for theBenchmark 3.38/0.98 tff(type_def_5, type, 'A_ltln_set_num_fun$': $tType). 3.38/0.98 tff(type_def_6, type, 'Int_bool_fun$': $tType). 3.38/0.98 tff(type_def_7, type, 'Nat_nat_bool_fun_fun$': $tType). 3.38/0.98 tff(type_def_8, type, 'Num_num_fun$': $tType). 3.38/0.98 tff(type_def_9, type, 'A_ltln_set_int_fun$': $tType). 3.38/0.98 tff(type_def_10, type, 'Int_int_fun$': $tType). 3.38/0.98 tff(type_def_11, type, 'A_set_list_a_set_list_list_fun$': $tType). 3.38/0.98 tff(type_def_12, type, 'Nat_a_ltln_set_fun$': $tType). 3.38/0.98 tff(type_def_13, type, 'Num_bool_fun$': $tType). 3.38/0.98 tff(type_def_14, type, 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$': $tType). 3.38/0.98 tff(type_def_15, type, 'A_set_list_list$': $tType). 3.38/0.98 tff(type_def_16, type, 'Nat$': $tType). 3.38/0.98 tff(type_def_17, type, 'Nat_a_ltln_a_ltln_bool_fun_fun_fun$': $tType). 3.38/0.98 tff(type_def_18, type, 'A_ltln_a_ltln_bool_fun_fun_int_fun$': $tType). 3.38/0.98 tff(type_def_19, type, 'Int_a_ltln_a_ltln_bool_fun_fun_fun$': $tType). 3.38/0.98 tff(type_def_20, type, 'Num$': $tType). 3.38/0.98 tff(type_def_21, type, 'A_set_list_nat_fun$': $tType). 3.38/0.98 tff(type_def_22, type, tlbool: $tType). 3.38/0.98 tff(type_def_23, type, 'Nat_a_set_list_fun$': $tType). 3.38/0.98 tff(type_def_24, type, 'Nat_num_fun$': $tType). 3.38/0.98 tff(type_def_25, type, 'A_set_a_ltln_fun$': $tType). 3.38/0.98 tff(type_def_26, type, 'A_ltln_bool_fun$': $tType). 3.38/0.98 tff(type_def_27, type, 'A_set$': $tType). 3.38/0.98 tff(type_def_28, type, 'A_ltln_set$': $tType). 3.38/0.98 tff(type_def_29, type, 'Int_a_ltln_set_fun$': $tType). 3.38/0.98 tff(type_def_30, type, 'A_set_list$': $tType). 3.38/0.98 tff(type_def_31, type, 'A_ltln$': $tType). 3.38/0.98 tff(type_def_32, type, 'Num_a_ltln_set_fun$': $tType). 3.38/0.98 tff(type_def_33, type, 'Bool_bool_fun$': $tType). 3.38/0.98 tff(type_def_34, type, 'Nat_a_set_fun$': $tType). 3.38/0.98 tff(type_def_35, type, 'Int_int_bool_fun_fun$': $tType). 3.38/0.98 tff(type_def_36, type, 'Nat_bool_fun$': $tType). 3.38/0.98 tff(type_def_37, type, 'A_ltln_a_set_a_ltln_fun_fun$': $tType). 3.38/0.98 tff(type_def_38, type, 'Nat_int_fun$': $tType). 3.38/0.98 tff(type_def_39, type, 'Nat_a_ltln_bool_fun_fun$': $tType). 3.38/0.98 tff(type_def_40, type, 'Int_num_fun$': $tType). 3.38/0.98 tff(type_def_41, type, 'Bool_bool_bool_fun_fun$': $tType). 3.38/0.98 tff(type_def_42, type, 'A_ltln_a_ltln_bool_fun_fun$': $tType). 3.38/0.98 tff(type_def_43, type, 'A_set_list_a_ltln_fun$': $tType). 3.38/0.98 tff(type_def_44, type, 'Num_int_fun$': $tType). 3.38/0.98 tff(type_def_45, type, 'Num_num_bool_fun_fun$': $tType). 3.38/0.98 tff(func_def_0, type, 'build$a': ('A_set$' * 'Nat_a_set_fun$') > 'Nat_a_set_fun$'). 3.38/0.98 tff(func_def_1, type, 'w$': 'Nat_a_set_fun$'). 3.38/0.98 tff(func_def_2, type, 'fun_app$x': ('A_ltln_set_num_fun$' * 'A_ltln_set$') > 'Num$'). 3.38/0.98 tff(func_def_3, type, 'gen_length$': 'Nat$' > 'A_set_list_nat_fun$'). 3.38/0.98 tff(func_def_4, type, 'dbl_inc$': 'Int_int_fun$'). 3.38/0.98 tff(func_def_5, type, 'af_letter$': 'A_ltln_a_set_a_ltln_fun_fun$'). 3.38/0.98 tff(func_def_6, type, def_6: ('A_ltln_bool_fun$' * 'A_ltln$') > tlbool). 3.38/0.98 tff(func_def_7, type, 'fun_app$q': ('A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$') > 'A_ltln_a_ltln_bool_fun_fun$'). 3.38/0.98 tff(func_def_8, type, 'size$': 'A_set_list_nat_fun$'). 3.38/0.98 tff(func_def_9, type, 'f$': ('A_ltln$' * 'Nat_a_set_fun$') > 'A_ltln_set$'). 3.38/0.98 tff(func_def_10, type, 'fun_app$l': ('Num_num_bool_fun_fun$' * 'Num$') > 'Num_bool_fun$'). 3.38/0.98 tff(func_def_11, type, 'fun_app$s': ('Int_num_fun$' * $int) > 'Num$'). 3.38/0.98 tff(func_def_12, type, 'or_ltln$': ('A_ltln$' * 'A_ltln$') > 'A_ltln$'). 3.38/0.98 tff(func_def_13, type, 'size$b': 'A_set_list_list$' > 'Nat$'). 3.38/0.98 tff(func_def_14, type, 'drop$': ('Nat$' * 'A_set_list$') > 'A_set_list$'). 3.38/0.98 tff(func_def_15, type, 'g_F$': ('A_ltln$' * 'Nat_a_set_fun$') > 'A_ltln_set$'). 3.38/0.98 tff(func_def_16, type, 'and_ltln$': ('A_ltln$' * 'A_ltln$') > 'A_ltln$'). 3.38/0.98 tff(func_def_17, type, 'take$': ('Nat$' * 'A_set_list$') > 'A_set_list$'). 3.38/0.98 tff(func_def_18, type, 'fun_app$ad': ('Nat_a_ltln_a_ltln_bool_fun_fun_fun$' * 'Nat$') > 'A_ltln_a_ltln_bool_fun_fun$'). 3.38/0.98 tff(func_def_19, type, 'uu$': 'A_ltln_set$' > 'A_ltln_bool_fun$'). 3.38/0.98 tff(func_def_20, type, 'false_ltln$': 'A_ltln$'). 3.38/0.98 tff(func_def_21, type, 'fun_app$t': ('Num_num_fun$' * 'Num$') > 'Num$'). 3.38/0.98 tff(func_def_22, type, 'nil$': 'A_set_list$'). 3.38/0.98 tff(func_def_23, type, def_8: ('A_ltln_bool_fun$' * 'A_ltln$') > tlbool). 3.38/0.98 tff(func_def_24, type, def_7: ('A_ltln_bool_fun$' * 'A_ltln$') > tlbool). 3.38/0.98 tff(func_def_25, type, 'fun_app$g': ('Nat_int_fun$' * 'Nat$') > $int). 3.38/0.98 tff(func_def_26, type, 'fun_app$af': ('A_set_list_a_set_list_list_fun$' * 'A_set_list$') > 'A_set_list_list$'). 3.38/0.98 tff(func_def_27, type, 'suffix$': ('Nat$' * 'Nat_a_set_fun$') > 'Nat_a_set_fun$'). 3.38/0.98 tff(func_def_28, type, 'build$': ('A_set_list$' * 'Nat_a_set_list_fun$') > 'Nat_a_set_list_fun$'). 3.38/0.98 tff(func_def_29, type, 'cons$a': ('A_set_list$' * 'A_set_list_list$') > 'A_set_list_list$'). 3.38/0.98 tff(func_def_30, type, 'fun_app$r': ('Num_int_fun$' * 'Num$') > $int). 3.38/0.98 tff(func_def_31, type, 'fun_app$aa': ('Nat_a_ltln_bool_fun_fun$' * 'Nat$') > 'A_ltln_bool_fun$'). 3.38/0.98 tff(func_def_32, type, 'nil$a': 'A_set_list_list$'). 3.38/0.98 tff(func_def_33, type, 'cons$': ('A_set$' * 'A_set_list$') > 'A_set_list$'). 3.38/0.98 tff(func_def_34, type, 'fun_app$ab': ('Nat_a_ltln_set_fun$' * 'Nat$') > 'A_ltln_set$'). 3.38/0.98 tff(func_def_35, type, 'mu_LTL$': 'A_ltln_set$'). 3.38/0.98 tff(func_def_36, type, 'until_ltln$': ('A_ltln$' * 'A_ltln$') > 'A_ltln$'). 3.38/0.98 tff(func_def_37, type, 'of_nat$': 'Nat_int_fun$'). 3.38/0.98 tff(func_def_38, type, 'less_eq$a': 'Bool_bool_bool_fun_fun$'). 3.38/0.98 tff(func_def_39, type, def_2: ('A_ltln_bool_fun$' * 'A_ltln$') > tlbool). 3.38/0.98 tff(func_def_40, type, 'butlast$': 'A_set_list$' > 'A_set_list$'). 3.38/0.98 tff(func_def_41, type, 'fun_app$b': ('A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$') > 'A_ltln_bool_fun$'). 3.38/0.98 tff(func_def_42, type, 'conc$': ('A_set_list$' * 'Nat_a_set_fun$') > 'Nat_a_set_fun$'). 3.38/0.98 tff(func_def_43, type, 'g$': ('A_ltln$' * 'Nat_a_set_fun$') > 'A_ltln_set$'). 3.38/0.98 tff(func_def_44, type, 'collect$': 'A_ltln_bool_fun$' > 'A_ltln_set$'). 3.38/0.98 tff(func_def_45, type, tltrue: tlbool). 3.38/0.98 tff(func_def_46, type, 'size$a': 'A_ltln$' > 'Nat$'). 3.38/0.98 tff(func_def_47, type, 'fun_app$w': ('Num_a_ltln_set_fun$' * 'Num$') > 'A_ltln_set$'). 3.38/0.98 tff(func_def_48, type, 'ltl_prop_equiv$': 'A_ltln_a_ltln_bool_fun_fun$'). 3.38/0.98 tff(func_def_49, type, 'ltl_const_equiv$': 'A_ltln_a_ltln_bool_fun_fun$'). 3.38/0.98 tff(func_def_50, type, 'conc$a': ('A_set_list_list$' * 'Nat_a_set_list_fun$') > 'Nat_a_set_list_fun$'). 3.38/0.98 tff(func_def_51, type, 'fun_app$p': ('Int_a_ltln_a_ltln_bool_fun_fun_fun$' * $int) > 'A_ltln_a_ltln_bool_fun_fun$'). 3.38/0.98 tff(func_def_52, type, 'eq$': 'A_ltln_a_ltln_bool_fun_fun$'). 3.38/0.98 tff(func_def_53, type, 'numeral$': 'Num_int_fun$'). 3.38/0.98 tff(func_def_54, type, 'fun_app$': ('Int_int_fun$' * $int) > $int). 3.38/0.98 tff(func_def_55, type, 'foldl$': ('A_ltln_a_set_a_ltln_fun_fun$' * 'A_ltln$') > 'A_set_list_a_ltln_fun$'). 3.38/0.98 tff(func_def_56, type, 'release_ltln$': ('A_ltln$' * 'A_ltln$') > 'A_ltln$'). 3.38/0.98 tff(func_def_57, type, def_1: ('A_ltln_bool_fun$' * 'A_ltln$') > tlbool). 3.38/0.98 tff(func_def_58, type, 'fun_app$n': ('Int_int_bool_fun_fun$' * $int) > 'Int_bool_fun$'). 3.38/0.98 tff(func_def_59, type, 'less_eq$d': 'Num_num_bool_fun_fun$'). 3.38/0.98 tff(func_def_60, type, 'fun_app$e': ('A_set_a_ltln_fun$' * 'A_set$') > 'A_ltln$'). 3.38/0.98 tff(func_def_61, type, 'ltl_lang_equiv$': 'A_ltln_a_ltln_bool_fun_fun$'). 3.38/0.98 tff(func_def_62, type, def_4: ('A_ltln_bool_fun$' * 'A_ltln$') > tlbool). 3.38/0.98 tff(func_def_63, type, 'fun_app$y': ('A_set_list_nat_fun$' * 'A_set_list$') > 'Nat$'). 3.38/0.98 tff(func_def_64, type, 'fun_app$c': ('A_set_list_a_ltln_fun$' * 'A_set_list$') > 'A_ltln$'). 3.38/0.98 tff(func_def_65, type, 'fun_app$d': ('Nat_a_set_list_fun$' * 'Nat$') > 'A_set_list$'). 3.38/0.98 tff(func_def_66, type, 'true_ltln$': 'A_ltln$'). 3.38/0.98 tff(func_def_67, type, 'f_G$': ('A_ltln$' * 'Nat_a_set_fun$') > 'A_ltln_set$'). 3.38/0.98 tff(func_def_68, type, 'append$a': ('A_set_list_list$' * 'A_set_list_list$') > 'A_set_list_list$'). 3.38/0.98 tff(func_def_69, type, 'ltl_prop_implies$': 'A_ltln_a_ltln_bool_fun_fun$'). 3.38/0.98 tff(func_def_70, type, 'minus$': ('A_ltln_set$' * 'A_ltln_set$') > 'A_ltln_set$'). 3.38/0.98 tff(func_def_71, type, 'semantics_ltln$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$'). 3.38/0.98 tff(func_def_72, type, 'fun_app$u': ('A_ltln_set_int_fun$' * 'A_ltln_set$') > $int). 3.38/0.98 tff(func_def_73, type, 'n_lists$': 'Nat$' > 'A_set_list_a_set_list_list_fun$'). 3.38/0.98 tff(func_def_74, type, def_5: ('A_ltln_bool_fun$' * 'A_ltln$') > tlbool). 3.38/0.98 tff(func_def_75, type, tlfalse: tlbool). 3.38/0.98 tff(func_def_76, type, 'nat$': $int > 'Nat$'). 3.38/0.98 tff(func_def_77, type, def_3: ('A_ltln_bool_fun$' * 'A_ltln$') > tlbool). 3.38/0.98 tff(func_def_78, type, 'append$': ('A_set_list$' * 'A_set_list$') > 'A_set_list$'). 3.38/0.98 tff(func_def_79, type, 'fun_app$ae': ('Nat_nat_bool_fun_fun$' * 'Nat$') > 'Nat_bool_fun$'). 3.38/0.98 tff(func_def_80, type, 'nu_LTL$': 'A_ltln_set$'). 3.38/0.98 tff(func_def_81, type, 'fun_app$f': ('A_ltln_a_set_a_ltln_fun_fun$' * 'A_ltln$') > 'A_set_a_ltln_fun$'). 3.38/0.98 tff(func_def_82, type, 'rotate1$': 'A_set_list$' > 'A_set_list$'). 3.38/0.98 tff(func_def_83, type, 'fun_app$z': ('Nat_a_set_fun$' * 'Nat$') > 'A_set$'). 3.38/0.98 tff(func_def_84, type, 'subsequence$': ('Nat_a_set_fun$' * 'Nat$') > 'Nat_a_set_list_fun$'). 3.38/0.98 tff(func_def_85, type, 'fun_app$j': ('Bool_bool_bool_fun_fun$' * tlbool) > 'Bool_bool_fun$'). 3.38/0.98 tff(func_def_86, type, 'fun_app$ac': ('Nat_num_fun$' * 'Nat$') > 'Num$'). 3.38/0.98 tff(func_def_87, type, 'uua$': $int > 'Int_int_fun$'). 3.38/0.98 tff(func_def_88, type, 'weakUntil_ltln$': ('A_ltln$' * 'A_ltln$') > 'A_ltln$'). 3.38/0.98 tff(func_def_89, type, 'fun_app$o': ('A_ltln_a_ltln_bool_fun_fun_int_fun$' * 'A_ltln_a_ltln_bool_fun_fun$') > $int). 3.38/0.98 tff(func_def_90, type, 'fun_app$v': ('Int_a_ltln_set_fun$' * $int) > 'A_ltln_set$'). 3.38/0.98 tff(func_def_91, type, 'phi$': 'A_ltln$'). 3.38/0.98 tff(func_def_92, type, 'strongRelease_ltln$': ('A_ltln$' * 'A_ltln$') > 'A_ltln$'). 3.38/0.98 tff(func_def_98, type, sK22: 'Nat_bool_fun$' > 'Nat$'). 3.38/0.98 tff(func_def_99, type, sK23: 'Num_num_fun$' > 'Num$'). 3.38/0.98 tff(func_def_100, type, sK24: 'Num_num_fun$' > 'Num$'). 3.38/0.98 tff(func_def_101, type, sK25: 'Nat_bool_fun$' > 'Nat$'). 3.38/0.98 tff(func_def_102, type, sK26: ('A_ltln$' * 'A_ltln$' * 'Nat_a_set_fun$') > 'Nat$'). 3.38/0.98 tff(func_def_103, type, sK27: ('A_ltln$' * 'Nat_a_set_fun$' * 'Nat$') > 'Nat$'). 3.38/0.98 tff(func_def_104, type, sK28: 'Num_num_bool_fun_fun$' > 'Num$'). 3.38/0.98 tff(func_def_105, type, sK29: 'Num_num_bool_fun_fun$' > 'Num$'). 3.38/0.98 tff(func_def_106, type, sK30: 'Num_num_bool_fun_fun$' > 'Num$'). 3.38/0.98 tff(func_def_107, type, sK31: 'Num_num_bool_fun_fun$' > 'Num$'). 3.38/0.98 tff(func_def_108, type, sK32: 'Int_num_fun$' > $int). 3.38/0.98 tff(func_def_109, type, sK33: 'Int_num_fun$' > $int). 3.38/0.98 tff(func_def_110, type, sK34: 'Nat_bool_fun$' > 'Nat$'). 3.38/0.98 tff(func_def_111, type, sK35: 'Int_num_fun$' > $int). 3.38/0.98 tff(func_def_112, type, sK36: 'Int_num_fun$' > $int). 3.38/0.98 tff(func_def_113, type, sK37: 'Nat$'). 3.38/0.98 tff(func_def_114, type, sK38: ('A_ltln_set$' * 'A_ltln_set$') > 'A_ltln$'). 3.38/0.98 tff(func_def_115, type, sK39: ('A_ltln_set$' * 'A_ltln_set$') > 'A_ltln$'). 3.38/0.98 tff(func_def_116, type, sK40: 'A_ltln_set_int_fun$' > 'A_ltln_set$'). 3.38/0.98 tff(func_def_117, type, sK41: 'A_ltln_set_int_fun$' > 'A_ltln_set$'). 3.38/0.98 tff(func_def_118, type, sK42: 'Num_num_fun$' > 'Num$'). 3.38/0.98 tff(func_def_119, type, sK43: 'Num_num_fun$' > 'Num$'). 3.38/0.98 tff(func_def_120, type, sK44: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_set$'). 3.38/0.98 tff(func_def_121, type, sK45: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$'). 3.38/0.98 tff(func_def_122, type, sK46: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$'). 3.38/0.98 tff(func_def_123, type, sK47: 'Nat$' > 'Nat$'). 3.38/0.98 tff(func_def_124, type, sK48: ('Nat_a_set_fun$' * 'A_ltln$') > 'Nat$'). 3.38/0.98 tff(func_def_125, type, sK49: ('Nat_a_set_fun$' * 'A_ltln$') > 'Nat$'). 3.38/0.98 tff(func_def_126, type, sK50: ('Nat_a_set_fun$' * 'A_ltln$') > 'Nat$'). 3.38/0.98 tff(func_def_127, type, sK51: 'Nat$'). 3.38/0.98 tff(func_def_128, type, sK52: 'Nat$' > 'Nat$'). 3.38/0.98 tff(func_def_129, type, sK53: 'Nat$'). 3.38/0.98 tff(func_def_130, type, sK54: ('A_ltln$' * 'Nat_a_set_fun$') > 'Nat$'). 3.38/0.98 tff(func_def_131, type, sK55: 'Int_int_fun$' > $int). 3.38/0.98 tff(func_def_132, type, sK56: 'Int_int_fun$' > $int). 3.38/0.98 tff(func_def_133, type, sK57: ('A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' * 'Nat_a_set_fun$') > 'Nat$'). 3.38/0.98 tff(func_def_134, type, sK58: ('A_ltln$' * 'Nat_a_set_fun$') > 'Nat$'). 3.38/0.98 tff(func_def_135, type, sK59: ('Nat_a_set_fun$' * 'A_ltln$') > 'Nat$'). 3.38/0.98 tff(func_def_136, type, sK60: 'Nat_int_fun$' > 'Nat$'). 3.38/0.98 tff(func_def_137, type, sK61: ('A_ltln_bool_fun$' * 'A_ltln_bool_fun$') > 'A_ltln$'). 3.38/0.98 tff(func_def_138, type, sK62: ('A_ltln_bool_fun$' * 'A_ltln_bool_fun$') > 'A_ltln$'). 3.38/0.98 tff(func_def_139, type, sK63: ('A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$') > 'A_ltln$'). 3.38/0.98 tff(func_def_140, type, sK64: 'Int_a_ltln_set_fun$' > $int). 3.38/0.98 tff(func_def_141, type, sK65: 'Int_a_ltln_set_fun$' > $int). 3.38/0.98 tff(func_def_142, type, sK66: 'Nat_int_fun$' > 'Nat$'). 3.38/0.98 tff(func_def_143, type, sK67: 'Int_int_fun$' > $int). 3.38/0.98 tff(func_def_144, type, sK68: 'Int_int_fun$' > $int). 3.38/0.98 tff(func_def_145, type, sK69: 'Num_num_fun$' > 'Num$'). 3.38/0.98 tff(func_def_146, type, sK70: 'Num_num_fun$' > 'Num$'). 3.38/0.98 tff(func_def_147, type, sK71: 'Int_num_fun$' > $int). 3.38/0.98 tff(func_def_148, type, sK72: 'Int_num_fun$' > $int). 3.38/0.98 tff(func_def_149, type, sK73: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$'). 3.38/0.98 tff(func_def_150, type, sK74: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$'). 3.38/0.98 tff(func_def_151, type, sK75: ('A_ltln_bool_fun$' * 'A_ltln_bool_fun$') > 'A_ltln$'). 3.38/0.98 tff(func_def_152, type, sK76: 'A_ltln_set_num_fun$' > 'A_ltln_set$'). 3.38/0.98 tff(func_def_153, type, sK77: 'A_ltln_set_num_fun$' > 'A_ltln_set$'). 3.38/0.98 tff(func_def_154, type, sK78: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int). 3.38/0.98 tff(func_def_155, type, sK79: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int). 3.38/0.98 tff(func_def_156, type, sK80: 'Nat_a_ltln_a_ltln_bool_fun_fun_fun$' > 'Nat$'). 3.38/0.98 tff(func_def_157, type, sK81: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$'). 3.38/0.98 tff(func_def_158, type, sK82: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$'). 3.38/0.98 tff(func_def_159, type, sK83: 'Nat_a_ltln_bool_fun_fun$' > 'Nat$'). 3.38/0.98 tff(func_def_160, type, sK84: ('Nat_bool_fun$' * 'Nat$') > 'Nat$'). 3.38/0.98 tff(func_def_161, type, sK85: 'Int_a_ltln_set_fun$' > $int). 3.38/0.98 tff(func_def_162, type, sK86: 'Int_a_ltln_set_fun$' > $int). 3.38/0.98 tff(func_def_163, type, sK87: 'Nat$' > 'Nat$'). 3.38/0.98 tff(func_def_164, type, sK88: 'Nat$'). 3.38/0.98 tff(func_def_165, type, sK89: 'Nat$' > 'Nat$'). 3.38/0.98 tff(func_def_166, type, sK90: 'Nat$'). 3.38/0.98 tff(func_def_167, type, sK91: ('A_ltln$' * 'A_ltln$') > 'Nat_a_set_fun$'). 3.38/0.98 tff(func_def_168, type, sK92: 'Num_a_ltln_set_fun$' > 'Num$'). 3.38/0.98 tff(func_def_169, type, sK93: 'Num_a_ltln_set_fun$' > 'Num$'). 3.38/0.98 tff(func_def_170, type, sK94: 'Num_int_fun$' > 'Num$'). 3.38/0.98 tff(func_def_171, type, sK95: 'Num_int_fun$' > 'Num$'). 3.38/0.98 tff(func_def_172, type, sK96: ('Nat$' * 'A_set_list$') > 'A_set_list$'). 3.38/0.98 tff(func_def_173, type, sK97: ('Nat$' * 'A_set_list$') > 'A_set$'). 3.38/0.98 tff(func_def_174, type, sK98: 'Int_num_fun$' > $int). 3.38/0.98 tff(func_def_175, type, sK99: 'Int_num_fun$' > $int). 3.38/0.98 tff(func_def_176, type, sK100: ('A_ltln_bool_fun$' * 'A_ltln_bool_fun$') > 'A_ltln$'). 3.38/0.98 tff(func_def_177, type, sK101: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$'). 3.38/0.98 tff(func_def_178, type, sK102: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$'). 3.38/0.98 tff(func_def_179, type, sK103: 'Num_int_fun$' > 'Num$'). 3.38/0.98 tff(func_def_180, type, sK104: 'Num_int_fun$' > 'Num$'). 3.38/0.98 tff(func_def_181, type, sK105: 'A_ltln_set_int_fun$' > 'A_ltln_set$'). 3.38/0.98 tff(func_def_182, type, sK106: 'A_ltln_set_int_fun$' > 'A_ltln_set$'). 3.38/0.98 tff(func_def_183, type, sK107: ('A_ltln$' * 'Nat_a_set_fun$') > 'Nat$'). 3.38/0.98 tff(func_def_184, type, sK108: ('A_ltln$' * 'Nat_a_set_fun$') > 'Nat$'). 3.38/0.98 tff(func_def_185, type, sK109: ('Nat_a_set_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$') > 'Nat$'). 3.38/0.98 tff(func_def_186, type, sK110: 'Nat_a_ltln_bool_fun_fun$' > 'Nat$'). 3.38/0.98 tff(func_def_187, type, sK111: 'Nat_nat_bool_fun_fun$' > 'Nat$'). 3.38/0.98 tff(func_def_188, type, sK112: 'Nat_nat_bool_fun_fun$' > 'Nat$'). 3.38/0.98 tff(func_def_189, type, sK113: 'Nat_nat_bool_fun_fun$' > 'Nat$'). 3.38/0.98 tff(func_def_190, type, sK114: 'Nat_nat_bool_fun_fun$' > 'Nat$'). 3.38/0.98 tff(func_def_191, type, sK115: 'Nat_nat_bool_fun_fun$' > 'Nat$'). 3.38/0.98 tff(func_def_192, type, sK116: ('A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$') > 'A_ltln$'). 3.38/0.98 tff(func_def_193, type, sK117: ('A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$') > 'A_ltln$'). 3.38/0.98 tff(func_def_194, type, sK118: ('Nat_a_set_fun$' * 'A_ltln$') > 'Nat$'). 3.38/0.98 tff(func_def_195, type, sK119: 'Nat_bool_fun$' > 'Nat$'). 3.38/0.98 tff(func_def_196, type, sK120: ('Nat$' * 'Nat_bool_fun$') > 'Nat$'). 3.38/0.98 tff(func_def_197, type, sK121: ('Nat_a_set_fun$' * 'A_ltln$' * 'A_ltln_a_ltln_bool_fun_fun$') > 'Nat$'). 3.38/0.98 tff(func_def_198, type, sK122: ('A_ltln_set$' * 'A_ltln_set$') > 'A_ltln$'). 3.38/0.98 tff(func_def_199, type, sK123: 'A_ltln_set_int_fun$' > 'A_ltln_set$'). 3.38/0.98 tff(func_def_200, type, sK124: 'A_ltln_set_int_fun$' > 'A_ltln_set$'). 3.38/0.98 tff(func_def_201, type, sK125: 'Nat$' > 'Nat$'). 3.38/0.98 tff(func_def_202, type, sK126: ('Nat_a_set_fun$' * 'A_ltln$') > 'Nat$'). 3.38/0.98 tff(func_def_203, type, sK127: ('Nat_a_set_fun$' * 'A_ltln$') > 'Nat$'). 3.38/0.98 tff(func_def_204, type, sK128: 'Nat_nat_bool_fun_fun$' > 'Nat$'). 3.38/0.98 tff(func_def_205, type, sK129: 'Nat_nat_bool_fun_fun$' > 'Nat$'). 3.38/0.98 tff(func_def_206, type, sK130: 'Nat_nat_bool_fun_fun$' > 'Nat$'). 3.38/0.98 tff(func_def_207, type, sK131: 'Nat_nat_bool_fun_fun$' > 'Nat$'). 3.38/0.98 tff(func_def_208, type, sK132: 'Int_int_bool_fun_fun$' > $int). 3.38/0.98 tff(func_def_209, type, sK133: 'Int_int_bool_fun_fun$' > $int). 3.38/0.98 tff(func_def_210, type, sK134: 'Int_int_bool_fun_fun$' > $int). 3.38/0.98 tff(func_def_211, type, sK135: 'Int_int_bool_fun_fun$' > $int). 3.38/0.98 tff(func_def_212, type, sK136: 'Num_int_fun$' > 'Num$'). 3.38/0.98 tff(func_def_213, type, sK137: 'Num_int_fun$' > 'Num$'). 3.38/0.98 tff(func_def_214, type, sK138: 'Nat_a_ltln_set_fun$' > 'Nat$'). 3.38/0.98 tff(func_def_215, type, sK139: 'Num_int_fun$' > 'Num$'). 3.38/0.98 tff(func_def_216, type, sK140: 'Num_int_fun$' > 'Num$'). 3.38/0.98 tff(func_def_217, type, sK141: ('A_ltln$' * 'Nat_a_set_fun$') > 'Nat$'). 3.38/0.98 tff(func_def_218, type, sK142: 'A_ltln_set_num_fun$' > 'A_ltln_set$'). 3.38/0.98 tff(func_def_219, type, sK143: 'A_ltln_set_num_fun$' > 'A_ltln_set$'). 3.38/0.98 tff(func_def_220, type, sK144: 'Int_a_ltln_set_fun$' > $int). 3.38/0.98 tff(func_def_221, type, sK145: 'Int_a_ltln_set_fun$' > $int). 3.38/0.98 tff(func_def_222, type, sK146: ('A_ltln$' * 'Nat_a_set_fun$' * 'Nat$') > 'Nat$'). 3.38/0.98 tff(func_def_223, type, sK147: ('A_ltln$' * 'A_ltln$' * 'Nat_a_set_fun$') > 'Nat$'). 3.38/0.98 tff(func_def_224, type, sK148: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$'). 3.38/0.98 tff(func_def_225, type, sK149: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$'). 3.38/0.98 tff(func_def_226, type, sK150: 'Nat_num_fun$' > 'Nat$'). 3.38/0.98 tff(func_def_227, type, sK151: ('A_ltln_bool_fun$' * 'A_ltln_bool_fun$') > 'A_ltln$'). 3.38/0.98 tff(func_def_228, type, sK152: 'Nat_a_ltln_a_ltln_bool_fun_fun_fun$' > 'Nat$'). 3.38/0.98 tff(func_def_229, type, sK153: ('A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_a_ltln_bool_fun_fun$') > 'Nat$'). 3.38/0.98 tff(func_def_230, type, sK154: 'A_ltln_set_int_fun$' > 'A_ltln_set$'). 3.38/0.98 tff(func_def_231, type, sK155: 'A_ltln_set_int_fun$' > 'A_ltln_set$'). 3.38/0.98 tff(func_def_232, type, sK156: 'Nat_num_fun$' > 'Nat$'). 3.38/0.98 tff(func_def_233, type, sK157: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int). 3.38/0.98 tff(func_def_234, type, sK158: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int). 3.38/0.98 tff(func_def_235, type, sK159: ('A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$') > 'A_ltln$'). 3.38/0.98 tff(func_def_236, type, sK160: 'Num_num_fun$' > 'Num$'). 3.38/0.98 tff(func_def_237, type, sK161: 'Num_num_fun$' > 'Num$'). 3.38/0.98 tff(func_def_238, type, sK162: 'Nat_a_ltln_set_fun$' > 'Nat$'). 3.38/0.98 tff(func_def_239, type, sK163: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$'). 3.38/0.98 tff(func_def_240, type, sK164: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$'). 3.38/0.98 tff(func_def_241, type, sK165: 'Nat_bool_fun$' > 'Nat$'). 3.38/0.98 tff(func_def_242, type, sK166: ('Nat_a_set_fun$' * 'Nat$') > 'Nat_a_set_fun$'). 3.38/0.98 tff(func_def_243, type, sK167: ('Nat_a_set_fun$' * 'Nat$') > 'A_set_list$'). 3.38/0.98 tff(func_def_244, type, sK168: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$'). 3.38/0.98 tff(func_def_245, type, sK169: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$'). 3.38/0.98 tff(func_def_246, type, sK170: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_set$'). 3.38/0.98 tff(func_def_247, type, sK171: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$'). 3.38/0.98 tff(func_def_248, type, sK172: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$'). 3.38/0.98 tff(func_def_249, type, sK173: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$'). 3.38/0.98 tff(func_def_250, type, sK174: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$'). 3.38/0.98 tff(func_def_251, type, sK175: 'Nat$' > 'Nat$'). 3.38/0.98 tff(func_def_252, type, sK176: 'Nat$'). 3.38/0.98 tff(func_def_253, type, sK177: 'Nat$' > 'Nat$'). 3.38/0.98 tff(func_def_254, type, sK178: 'Nat$'). 3.38/0.98 tff(func_def_255, type, sK179: 'Nat$'). 3.38/0.98 tff(func_def_256, type, sK180: 'Nat$' > 'Nat$'). 3.38/0.98 tff(func_def_257, type, sK181: ('A_ltln$' * 'Nat_a_set_fun$') > 'Nat$'). 3.38/0.98 tff(func_def_258, type, sK182: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$'). 3.38/0.98 tff(func_def_259, type, sK183: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$'). 3.38/0.98 tff(func_def_260, type, sK184: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int). 3.38/0.98 tff(func_def_261, type, sK185: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int). 3.38/0.98 tff(func_def_262, type, sK186: 'Int_a_ltln_set_fun$' > $int). 3.38/0.98 tff(func_def_263, type, sK187: 'Int_a_ltln_set_fun$' > $int). 3.38/0.98 tff(func_def_264, type, sK188: 'Nat$' > 'Nat$'). 3.38/0.98 tff(func_def_265, type, sK189: ('Nat_a_set_fun$' * 'A_ltln$') > 'Nat$'). 3.38/0.98 tff(func_def_266, type, sK190: 'Int_int_fun$' > $int). 3.38/0.98 tff(func_def_267, type, sK191: 'Int_int_fun$' > $int). 3.38/0.98 tff(func_def_268, type, sK192: ('Nat_a_set_fun$' * 'A_ltln$') > 'Nat$'). 3.38/0.98 tff(func_def_269, type, sK193: 'Bool_bool_bool_fun_fun$' > tlbool). 3.38/0.98 tff(func_def_270, type, sK194: 'Bool_bool_bool_fun_fun$' > tlbool). 3.38/0.98 tff(func_def_271, type, sK195: 'Bool_bool_bool_fun_fun$' > tlbool). 3.38/0.98 tff(func_def_272, type, sK196: 'Bool_bool_bool_fun_fun$' > tlbool). 3.38/0.98 tff(func_def_273, type, sK197: 'A_ltln_set_num_fun$' > 'A_ltln_set$'). 3.38/0.98 tff(func_def_274, type, sK198: 'A_ltln_set_num_fun$' > 'A_ltln_set$'). 3.38/0.98 tff(func_def_275, type, sK199: 'Int_int_fun$' > $int). 3.38/0.98 tff(func_def_276, type, sK200: 'Int_int_fun$' > $int). 3.38/0.98 tff(func_def_277, type, sK201: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int). 3.38/0.98 tff(func_def_278, type, sK202: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int). 3.38/0.98 tff(func_def_279, type, sK203: ('A_ltln$' * 'Nat_a_set_fun$') > 'Nat$'). 3.38/0.98 tff(pred_def_1, type, 'fun_app$a': ('A_ltln_bool_fun$' * 'A_ltln$') > $o). 3.38/0.98 tff(pred_def_2, type, 'less_eq$c': ('A_ltln_set$' * 'A_ltln_set$') > $o). 3.38/0.98 tff(pred_def_3, type, 'less_eq$': ('A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$') > $o). 3.38/0.98 tff(pred_def_4, type, 'equivp$': 'A_ltln_a_ltln_bool_fun_fun$' > $o). 3.38/0.98 tff(pred_def_5, type, 'member$': ('A_ltln$' * 'A_ltln_set$') > $o). 3.38/0.98 tff(pred_def_6, type, 'af_congruent$': 'A_ltln_a_ltln_bool_fun_fun$' > $o). 3.38/0.98 tff(pred_def_7, type, 'ltl_equivalence$': 'A_ltln_a_ltln_bool_fun_fun$' > $o). 3.38/0.98 tff(pred_def_8, type, 'fun_app$k': ('Num_bool_fun$' * 'Num$') > $o). 3.38/0.98 tff(pred_def_9, type, 'less_eq$b': ('A_ltln_bool_fun$' * 'A_ltln_bool_fun$') > $o). 3.38/0.98 tff(pred_def_10, type, 'fun_app$i': ('Bool_bool_fun$' * tlbool) > $o). 3.38/0.98 tff(pred_def_11, type, 'fun_app$m': ('Int_bool_fun$' * $int) > $o). 3.38/0.98 tff(pred_def_12, type, 'af_congruent_axioms$': 'A_ltln_a_ltln_bool_fun_fun$' > $o). 3.38/0.98 tff(pred_def_13, type, 'fun_app$h': ('Nat_bool_fun$' * 'Nat$') > $o). 3.38/0.98 tff(pred_def_16, type, sP0: ('Num$' * 'Num$' * 'Num$') > $o). 3.38/0.98 tff(pred_def_17, type, sP1: ('Num$' * 'Num$' * 'Num$') > $o). 3.38/0.98 tff(pred_def_18, type, sP2: ('Num$' * 'Num$' * 'Num$') > $o). 3.38/0.98 tff(pred_def_19, type, sP3: ($int * $int * $int) > $o). 3.38/0.98 tff(pred_def_20, type, sP4: ($int * $int * $int) > $o). 3.38/0.98 tff(pred_def_21, type, sP5: ($int * $int * $int) > $o). 3.38/0.98 tff(pred_def_22, type, sP6: ('Nat$' * 'Nat$') > $o). 3.38/0.98 tff(pred_def_23, type, sP7: ('Nat$' * 'Nat$' * 'Nat$') > $o). 3.38/0.98 tff(pred_def_24, type, sP8: ('Nat$' * 'Nat$' * 'Nat$') > $o). 3.38/0.98 tff(pred_def_25, type, sP9: ('Nat$' * 'Nat$' * 'Nat$') > $o). 3.38/0.98 tff(pred_def_26, type, sP10: ('Nat$' * 'Nat$' * 'Nat$') > $o). 3.38/0.98 tff(pred_def_27, type, sP11: ('Nat$' * 'Nat$' * 'Nat$') > $o). 3.38/0.98 tff(pred_def_28, type, sP12: ('Nat$' * 'Nat$' * 'Nat$') > $o). 3.38/0.98 tff(pred_def_29, type, sP13: ('Nat$' * 'Nat$' * 'Nat$') > $o). 3.38/0.98 tff(pred_def_30, type, sP14: ('Nat$' * 'Nat$' * 'Nat$') > $o). 3.38/0.98 tff(pred_def_31, type, sP15: (tlbool * tlbool * tlbool) > $o). 3.38/0.98 tff(pred_def_32, type, sP16: (tlbool * tlbool * tlbool) > $o). 3.38/0.98 tff(pred_def_33, type, sP17: (tlbool * tlbool * tlbool) > $o). 3.38/0.98 tff(pred_def_34, type, sP18: ('Nat$' * 'Nat$' * 'Nat$') > $o). 3.38/0.98 tff(pred_def_35, type, sP19: ('Nat$' * 'Nat$' * 'Nat$') > $o). 3.38/0.98 tff(pred_def_36, type, sP20: ('Nat$' * 'Nat$' * 'Nat$') > $o). 3.38/0.98 tff(pred_def_37, type, sP21: ('Nat$' * 'Nat$' * 'Nat$') > $o). 3.38/0.98 tff(f5466,plain,( 3.38/0.98 $false), 3.38/0.98 inference(avatar_smt_refutation,[],[f4243,f4251,f4256,f4262,f4270,f4275,f4280,f4287,f4292,f4299,f4306,f4311,f4318,f4325,f4329,f4334,f4339,f4344,f4348,f4353,f4354,f4365,f4370,f4377,f4383,f4388,f4393,f4394,f4399,f4404,f4409,f4410,f4415,f4416,f4423,f4428,f4434,f4439,f4443,f4447,f4455,f4460,f4466,f4471,f4476,f4482,f4486,f4491,f4495,f4496,f4499,f4500,f4539,f4544,f4549,f4562,f4576,f4581,f4586,f4591,f4605,f4610,f4640,f4645,f4673,f4678,f4786,f4787,f4788,f4789,f4794,f4795,f4796,f4843,f4844,f4845,f4846,f4851,f4856,f4861,f4873,f4874,f4875,f4876,f4926,f4934,f4935,f4936,f4937,f4954,f4959,f4996,f5019,f5020,f5021,f5022,f5023,f5024,f5025,f5026,f5079,f5084,f5105,f5110,f5133,f5134,f5139,f5140,f5188,f5193,f5198,f5203,f5230,f5231,f5232,f5233,f5234,f5286,f5291,f5321,f5326,f5337,f5338,f5352,f5357,f5362,f5363,f5387,f5388,f5389,f5390,f5391,f5392,f5393,f5394,f5401,f5420,f5425,f5426,f5465])). 3.38/0.98 tff(f5465,plain,( 3.38/0.98 ~spl204_26 | ~spl204_30 | ~spl204_45), 3.38/0.98 inference(avatar_contradiction_clause,[],[f5456])). 3.38/0.98 tff(f5456,plain,( 3.38/0.98 $false | (~spl204_26 | ~spl204_30 | ~spl204_45)), 3.38/0.98 inference(unit_resulting_resolution,[],[f4442,f4364,f4347])). 3.38/0.98 tff(f4347,plain,( 3.38/0.98 ( ! [X4 : 'Nat$'] : ('fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X4,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',sK89(X4)),$uminus('fun_app$g'('of_nat$',X4))))))),'true_ltln$') | $less('fun_app$g'('of_nat$',sK89(X4)),'fun_app$g'('of_nat$',X4))) ) | ~spl204_26), 3.38/0.98 inference(avatar_component_clause,[],[f4346])). 3.38/0.98 tff(f4346,definition,( 3.38/0.98 spl204_26 <=> ! [X4 : 'Nat$'] : ('fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X4,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',sK89(X4)),$uminus('fun_app$g'('of_nat$',X4))))))),'true_ltln$') | $less('fun_app$g'('of_nat$',sK89(X4)),'fun_app$g'('of_nat$',X4)))), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_26])],[avatar_definition])). 3.38/0.98 tff(f4364,plain,( 3.38/0.98 ( ! [X3 : 'Nat$'] : (~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK176,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X3),$uminus('fun_app$g'('of_nat$',sK176))))))),'true_ltln$')) ) | ~spl204_30), 3.38/0.98 inference(avatar_component_clause,[],[f4363])). 3.38/0.98 tff(f4363,definition,( 3.38/0.98 spl204_30 <=> ! [X3 : 'Nat$'] : ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK176,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X3),$uminus('fun_app$g'('of_nat$',sK176))))))),'true_ltln$')), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_30])],[avatar_definition])). 3.38/0.98 tff(f4442,plain,( 3.38/0.98 ( ! [X3 : 'Nat$'] : (~$less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',sK176))) ) | ~spl204_45), 3.38/0.98 inference(avatar_component_clause,[],[f4441])). 3.38/0.98 tff(f4441,definition,( 3.38/0.98 spl204_45 <=> ! [X3 : 'Nat$'] : ~$less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',sK176))), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_45])],[avatar_definition])). 3.38/0.98 tff(f5426,plain,( 3.38/0.98 spl204_81 | ~spl204_29), 3.38/0.98 inference(avatar_split_clause,[],[f5408,f4359,f5081])). 3.38/0.98 tff(f5081,definition,( 3.38/0.98 spl204_81 <=> 'fun_app$a'('fun_app$b'('eq$','true_ltln$'),'fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK176,'w$'),'nat$'(0)),'nat$'(0))))), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_81])],[avatar_definition])). 3.38/0.98 tff(f4359,definition,( 3.38/0.98 spl204_29 <=> 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK176,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$')), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_29])],[avatar_definition])). 3.38/0.98 tff(f5408,plain,( 3.38/0.98 'fun_app$a'('fun_app$b'('eq$','true_ltln$'),'fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK176,'w$'),'nat$'(0)),'nat$'(0)))) | ~spl204_29), 3.38/0.98 inference(unit_resulting_resolution,[],[f4360,f3552])). 3.38/0.98 tff(f3552,plain,( 3.38/0.98 ( ! [X0 : 'A_ltln$',X1 : 'A_ltln$'] : (~'fun_app$a'('fun_app$b'('eq$',X0),X1) | 'fun_app$a'('fun_app$b'('eq$',X1),X0)) )), 3.38/0.98 inference(cnf_transformation,[],[f2486])). 3.38/0.98 tff(f2486,plain,( 3.38/0.98 ! [X0 : 'A_ltln$',X1 : 'A_ltln$'] : ('fun_app$a'('fun_app$b'('eq$',X1),X0) | ~'fun_app$a'('fun_app$b'('eq$',X0),X1))), 3.38/0.98 inference(rectify,[],[f1466])). 3.38/0.98 tff(f1466,plain,( 3.38/0.98 ! [X1 : 'A_ltln$',X0 : 'A_ltln$'] : ('fun_app$a'('fun_app$b'('eq$',X0),X1) | ~'fun_app$a'('fun_app$b'('eq$',X1),X0))), 3.38/0.98 inference(ennf_transformation,[],[f1046])). 3.38/0.98 tff(f1046,plain,( 3.38/0.98 ! [X1 : 'A_ltln$',X0 : 'A_ltln$'] : ('fun_app$a'('fun_app$b'('eq$',X1),X0) => 'fun_app$a'('fun_app$b'('eq$',X0),X1))), 3.38/0.98 inference(rectify,[],[f584])). 3.38/0.98 tff(f584,axiom,( 3.38/0.98 ! [X1 : 'A_ltln$',X0 : 'A_ltln$'] : ('fun_app$a'('fun_app$b'('eq$',X0),X1) => 'fun_app$a'('fun_app$b'('eq$',X1),X0))), 3.38/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.98 tff(f4360,plain,( 3.38/0.98 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK176,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$') | ~spl204_29), 3.38/0.98 inference(avatar_component_clause,[],[f4359])). 3.38/0.98 tff(f5425,plain,( 3.38/0.98 spl204_98 | ~spl204_29), 3.38/0.98 inference(avatar_split_clause,[],[f5415,f4359,f5422])). 3.38/0.98 tff(f5422,definition,( 3.38/0.98 spl204_98 <=> 'fun_app$a'('fun_app$b'('ltl_lang_equiv$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK176,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$')), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_98])],[avatar_definition])). 3.38/0.98 tff(f5415,plain,( 3.38/0.98 'fun_app$a'('fun_app$b'('ltl_lang_equiv$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK176,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$') | ~spl204_29), 3.38/0.98 inference(resolution,[],[f4360,f3523])). 3.38/0.98 tff(f3523,plain,( 3.38/0.98 ( ! [X0 : 'A_ltln$',X1 : 'A_ltln$'] : (~'fun_app$a'('fun_app$b'('eq$',X0),X1) | 'fun_app$a'('fun_app$b'('ltl_lang_equiv$',X0),X1)) )), 3.38/0.98 inference(cnf_transformation,[],[f1722])). 3.38/0.98 tff(f1722,plain,( 3.38/0.98 ! [X0 : 'A_ltln$',X1 : 'A_ltln$'] : (~'fun_app$a'('fun_app$b'('eq$',X0),X1) | 'fun_app$a'('fun_app$b'('ltl_lang_equiv$',X0),X1))), 3.38/0.98 inference(ennf_transformation,[],[f196])). 3.38/0.98 tff(f196,axiom,( 3.38/0.98 ! [X0 : 'A_ltln$',X1 : 'A_ltln$'] : ('fun_app$a'('fun_app$b'('eq$',X0),X1) => 'fun_app$a'('fun_app$b'('ltl_lang_equiv$',X0),X1))), 3.38/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.98 tff(f5420,plain,( 3.38/0.98 ~spl204_97 | ~spl204_29 | spl204_48), 3.38/0.98 inference(avatar_split_clause,[],[f5403,f4452,f4359,f5417])). 3.38/0.98 tff(f5417,definition,( 3.38/0.98 spl204_97 <=> 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK88,'w$'),'nat$'(0)),'nat$'(0)))),'fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK176,'w$'),'nat$'(0)),'nat$'(0))))), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_97])],[avatar_definition])). 3.38/0.98 tff(f4452,definition,( 3.38/0.98 spl204_48 <=> 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK88,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$')), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_48])],[avatar_definition])). 3.38/0.98 tff(f5403,plain,( 3.38/0.98 ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK88,'w$'),'nat$'(0)),'nat$'(0)))),'fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK176,'w$'),'nat$'(0)),'nat$'(0)))) | (~spl204_29 | spl204_48)), 3.38/0.98 inference(unit_resulting_resolution,[],[f4454,f4360,f3441])). 3.38/0.98 tff(f3441,plain,( 3.38/0.98 ( ! [X2 : 'A_ltln$',X0 : 'A_ltln$',X1 : 'A_ltln$'] : (~'fun_app$a'('fun_app$b'('eq$',X1),X0) | ~'fun_app$a'('fun_app$b'('eq$',X0),X2) | 'fun_app$a'('fun_app$b'('eq$',X1),X2)) )), 3.38/0.98 inference(cnf_transformation,[],[f2375])). 3.38/0.98 tff(f2375,plain,( 3.38/0.98 ! [X0 : 'A_ltln$',X1 : 'A_ltln$',X2 : 'A_ltln$'] : (~'fun_app$a'('fun_app$b'('eq$',X1),X0) | 'fun_app$a'('fun_app$b'('eq$',X1),X2) | ~'fun_app$a'('fun_app$b'('eq$',X0),X2))), 3.38/0.98 inference(rectify,[],[f1406])). 3.38/0.98 tff(f1406,plain,( 3.38/0.98 ! [X2 : 'A_ltln$',X0 : 'A_ltln$',X1 : 'A_ltln$'] : (~'fun_app$a'('fun_app$b'('eq$',X0),X2) | 'fun_app$a'('fun_app$b'('eq$',X0),X1) | ~'fun_app$a'('fun_app$b'('eq$',X2),X1))), 3.38/0.98 inference(flattening,[],[f1405])). 3.38/0.98 tff(f1405,plain,( 3.38/0.98 ! [X0 : 'A_ltln$',X2 : 'A_ltln$',X1 : 'A_ltln$'] : ('fun_app$a'('fun_app$b'('eq$',X0),X1) | (~'fun_app$a'('fun_app$b'('eq$',X0),X2) | ~'fun_app$a'('fun_app$b'('eq$',X2),X1)))), 3.38/0.98 inference(ennf_transformation,[],[f866])). 3.38/0.98 tff(f866,plain,( 3.38/0.98 ! [X0 : 'A_ltln$',X2 : 'A_ltln$',X1 : 'A_ltln$'] : (('fun_app$a'('fun_app$b'('eq$',X0),X2) & 'fun_app$a'('fun_app$b'('eq$',X2),X1)) => 'fun_app$a'('fun_app$b'('eq$',X0),X1))), 3.38/0.98 inference(rectify,[],[f38])). 3.38/0.98 tff(f38,axiom,( 3.38/0.98 ! [X0 : 'A_ltln$',X2 : 'A_ltln$',X1 : 'A_ltln$'] : (('fun_app$a'('fun_app$b'('eq$',X0),X1) & 'fun_app$a'('fun_app$b'('eq$',X1),X2)) => 'fun_app$a'('fun_app$b'('eq$',X0),X2))), 3.38/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.98 tff(f4454,plain,( 3.38/0.98 ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK88,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$') | spl204_48), 3.38/0.98 inference(avatar_component_clause,[],[f4452])). 3.38/0.98 tff(f5401,plain,( 3.38/0.98 spl204_96 | ~spl204_26 | ~spl204_45), 3.38/0.98 inference(avatar_split_clause,[],[f5396,f4441,f4346,f5398])). 3.38/0.98 tff(f5398,definition,( 3.38/0.98 spl204_96 <=> 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK176,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',sK89(sK176)),$uminus('fun_app$g'('of_nat$',sK176))))))),'true_ltln$')), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_96])],[avatar_definition])). 3.38/0.98 tff(f5396,plain,( 3.38/0.98 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK176,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',sK89(sK176)),$uminus('fun_app$g'('of_nat$',sK176))))))),'true_ltln$') | (~spl204_26 | ~spl204_45)), 3.38/0.98 inference(unit_resulting_resolution,[],[f4442,f4347])). 3.38/0.98 tff(f5394,plain,( 3.38/0.98 ~spl204_70 | ~spl204_7 | ~spl204_28), 3.38/0.98 inference(avatar_split_clause,[],[f5373,f4356,f4268,f4791])). 3.38/0.98 tff(f4791,definition,( 3.38/0.98 spl204_70 <=> 'fun_app$a'('fun_app$b'('eq$','true_ltln$'),'true_ltln$')), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_70])],[avatar_definition])). 3.38/0.98 tff(f4268,definition,( 3.38/0.98 spl204_7 <=> ! [X1 : 'Nat$'] : ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',sK179),X1))),'true_ltln$')), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_7])],[avatar_definition])). 3.38/0.98 tff(f4356,definition,( 3.38/0.98 spl204_28 <=> ! [X0 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X0),sK175(X0)))),'true_ltln$')), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_28])],[avatar_definition])). 3.38/0.98 tff(f5373,plain,( 3.38/0.98 ~'fun_app$a'('fun_app$b'('eq$','true_ltln$'),'true_ltln$') | (~spl204_7 | ~spl204_28)), 3.38/0.98 inference(unit_resulting_resolution,[],[f4269,f4357,f3441])). 3.38/0.98 tff(f4357,plain,( 3.38/0.98 ( ! [X0 : 'Nat$'] : ('fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X0),sK175(X0)))),'true_ltln$')) ) | ~spl204_28), 3.38/0.98 inference(avatar_component_clause,[],[f4356])). 3.38/0.98 tff(f4269,plain,( 3.38/0.98 ( ! [X1 : 'Nat$'] : (~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',sK179),X1))),'true_ltln$')) ) | ~spl204_7), 3.38/0.98 inference(avatar_component_clause,[],[f4268])). 3.38/0.98 tff(f5393,plain,( 3.38/0.98 ~spl204_70 | ~spl204_21 | ~spl204_28), 3.38/0.98 inference(avatar_split_clause,[],[f5375,f4356,f4323,f4791])). 3.38/0.98 tff(f4323,definition,( 3.38/0.98 spl204_21 <=> ! [X7 : 'Nat$'] : ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',sK178),X7))),'true_ltln$')), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_21])],[avatar_definition])). 3.38/0.98 tff(f5375,plain,( 3.38/0.98 ~'fun_app$a'('fun_app$b'('eq$','true_ltln$'),'true_ltln$') | (~spl204_21 | ~spl204_28)), 3.38/0.98 inference(unit_resulting_resolution,[],[f4324,f4357,f3441])). 3.38/0.98 tff(f4324,plain,( 3.38/0.98 ( ! [X7 : 'Nat$'] : (~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',sK178),X7))),'true_ltln$')) ) | ~spl204_21), 3.38/0.98 inference(avatar_component_clause,[],[f4323])). 3.38/0.98 tff(f5392,plain,( 3.38/0.98 ~spl204_21 | ~spl204_28), 3.38/0.98 inference(avatar_contradiction_clause,[],[f5380])). 3.38/0.98 tff(f5380,plain,( 3.38/0.98 $false | (~spl204_21 | ~spl204_28)), 3.38/0.98 inference(resolution,[],[f4357,f4324])). 3.38/0.98 tff(f5391,plain,( 3.38/0.98 ~spl204_7 | ~spl204_28), 3.38/0.98 inference(avatar_contradiction_clause,[],[f5374])). 3.38/0.98 tff(f5374,plain,( 3.38/0.98 $false | (~spl204_7 | ~spl204_28)), 3.38/0.98 inference(unit_resulting_resolution,[],[f3651,f4269,f4357,f3441])). 3.38/0.98 tff(f3651,plain,( 3.38/0.98 ( ! [X0 : 'A_ltln$'] : ('fun_app$a'('fun_app$b'('eq$',X0),X0)) )), 3.38/0.98 inference(cnf_transformation,[],[f147])). 3.38/0.98 tff(f147,axiom,( 3.38/0.98 ! [X0 : 'A_ltln$'] : 'fun_app$a'('fun_app$b'('eq$',X0),X0)), 3.38/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.98 tff(f5390,plain,( 3.38/0.98 ~spl204_7 | ~spl204_28), 3.38/0.98 inference(avatar_contradiction_clause,[],[f5371])). 3.38/0.98 tff(f5371,plain,( 3.38/0.98 $false | (~spl204_7 | ~spl204_28)), 3.38/0.98 inference(unit_resulting_resolution,[],[f4269,f3651,f4357,f3441])). 3.38/0.98 tff(f5389,plain,( 3.38/0.98 ~spl204_21 | ~spl204_28), 3.38/0.98 inference(avatar_contradiction_clause,[],[f5376])). 3.38/0.98 tff(f5376,plain,( 3.38/0.98 $false | (~spl204_21 | ~spl204_28)), 3.38/0.98 inference(unit_resulting_resolution,[],[f3651,f4324,f4357,f3441])). 3.38/0.98 tff(f5388,plain,( 3.38/0.98 ~spl204_7 | ~spl204_28), 3.38/0.98 inference(avatar_contradiction_clause,[],[f5379])). 3.38/0.98 tff(f5379,plain,( 3.38/0.98 $false | (~spl204_7 | ~spl204_28)), 3.38/0.98 inference(resolution,[],[f4357,f4269])). 3.38/0.98 tff(f5387,plain,( 3.38/0.98 ~spl204_7 | ~spl204_28), 3.38/0.98 inference(avatar_contradiction_clause,[],[f5364])). 3.38/0.98 tff(f5364,plain,( 3.38/0.98 $false | (~spl204_7 | ~spl204_28)), 3.38/0.98 inference(unit_resulting_resolution,[],[f4269,f4357])). 3.38/0.98 tff(f5363,plain,( 3.38/0.98 spl204_64 | ~spl204_63), 3.38/0.98 inference(avatar_split_clause,[],[f5340,f4588,f4602])). 3.38/0.98 tff(f4602,definition,( 3.38/0.98 spl204_64 <=> 'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('true_ltln$','until_ltln$'('false_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))))), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_64])],[avatar_definition])). 3.38/0.98 tff(f4588,definition,( 3.38/0.98 spl204_63 <=> 'fun_app$a'('semantics_ltln$'('w$'),'until_ltln$'('false_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))))), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_63])],[avatar_definition])). 3.38/0.98 tff(f5340,plain,( 3.38/0.98 'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('true_ltln$','until_ltln$'('false_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))))) | ~spl204_63), 3.38/0.98 inference(unit_resulting_resolution,[],[f4589,f2909])). 3.38/0.98 tff(f2909,plain,( 3.38/0.98 ( ! [X0 : 'A_ltln$',X1 : 'Nat_a_set_fun$'] : ('fun_app$a'('semantics_ltln$'(X1),'release_ltln$'('true_ltln$',X0)) | ~'fun_app$a'('semantics_ltln$'(X1),X0)) )), 3.38/0.98 inference(cnf_transformation,[],[f1981])). 3.38/0.98 tff(f1981,plain,( 3.38/0.98 ! [X0 : 'A_ltln$',X1 : 'Nat_a_set_fun$'] : (('fun_app$a'('semantics_ltln$'(X1),'release_ltln$'('true_ltln$',X0)) | ~'fun_app$a'('semantics_ltln$'(X1),X0)) & ('fun_app$a'('semantics_ltln$'(X1),X0) | ~'fun_app$a'('semantics_ltln$'(X1),'release_ltln$'('true_ltln$',X0))))), 3.38/0.98 inference(nnf_transformation,[],[f1081])). 3.38/0.98 tff(f1081,plain,( 3.38/0.98 ! [X0 : 'A_ltln$',X1 : 'Nat_a_set_fun$'] : ('fun_app$a'('semantics_ltln$'(X1),'release_ltln$'('true_ltln$',X0)) <=> 'fun_app$a'('semantics_ltln$'(X1),X0))), 3.38/0.98 inference(rectify,[],[f162])). 3.38/0.98 tff(f162,axiom,( 3.38/0.98 ! [X1 : 'A_ltln$',X0 : 'Nat_a_set_fun$'] : ('fun_app$a'('semantics_ltln$'(X0),X1) <=> 'fun_app$a'('semantics_ltln$'(X0),'release_ltln$'('true_ltln$',X1)))), 3.38/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.98 tff(f4589,plain,( 3.38/0.98 'fun_app$a'('semantics_ltln$'('w$'),'until_ltln$'('false_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))) | ~spl204_63), 3.38/0.98 inference(avatar_component_clause,[],[f4588])). 3.38/0.98 tff(f5362,plain,( 3.38/0.98 ~spl204_95 | ~spl204_63), 3.38/0.98 inference(avatar_split_clause,[],[f5347,f4588,f5359])). 3.38/0.98 tff(f5359,definition,( 3.38/0.98 spl204_95 <=> 'fun_app$a'('fun_app$b'('eq$','false_ltln$'),'until_ltln$'('false_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))))), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_95])],[avatar_definition])). 3.38/0.98 tff(f5347,plain,( 3.38/0.98 ~'fun_app$a'('fun_app$b'('eq$','false_ltln$'),'until_ltln$'('false_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))) | ~spl204_63), 3.38/0.98 inference(unit_resulting_resolution,[],[f2880,f4589,f3622])). 3.38/0.98 tff(f3622,plain,( 3.38/0.98 ( ! [X2 : 'Nat_a_set_fun$',X0 : 'A_ltln$',X1 : 'A_ltln$'] : (~'fun_app$a'('fun_app$b'('eq$',X0),X1) | 'fun_app$a'('semantics_ltln$'(X2),X0) | ~'fun_app$a'('semantics_ltln$'(X2),X1)) )), 3.38/0.98 inference(cnf_transformation,[],[f2532])). 3.38/0.98 tff(f2532,plain,( 3.38/0.98 ! [X0 : 'A_ltln$',X1 : 'A_ltln$',X2 : 'Nat_a_set_fun$'] : ((('fun_app$a'('semantics_ltln$'(X2),X0) | ~'fun_app$a'('semantics_ltln$'(X2),X1)) & ('fun_app$a'('semantics_ltln$'(X2),X1) | ~'fun_app$a'('semantics_ltln$'(X2),X0))) | ~'fun_app$a'('fun_app$b'('eq$',X0),X1))), 3.38/0.98 inference(rectify,[],[f2531])). 3.38/0.98 tff(f2531,plain,( 3.38/0.98 ! [X1 : 'A_ltln$',X2 : 'A_ltln$',X0 : 'Nat_a_set_fun$'] : ((('fun_app$a'('semantics_ltln$'(X0),X1) | ~'fun_app$a'('semantics_ltln$'(X0),X2)) & ('fun_app$a'('semantics_ltln$'(X0),X2) | ~'fun_app$a'('semantics_ltln$'(X0),X1))) | ~'fun_app$a'('fun_app$b'('eq$',X1),X2))), 3.38/0.98 inference(nnf_transformation,[],[f1317])). 3.38/0.98 tff(f1317,plain,( 3.38/0.98 ! [X1 : 'A_ltln$',X2 : 'A_ltln$',X0 : 'Nat_a_set_fun$'] : (('fun_app$a'('semantics_ltln$'(X0),X1) <=> 'fun_app$a'('semantics_ltln$'(X0),X2)) | ~'fun_app$a'('fun_app$b'('eq$',X1),X2))), 3.38/0.98 inference(ennf_transformation,[],[f1156])). 3.38/0.98 tff(f1156,plain,( 3.38/0.98 ! [X2 : 'A_ltln$',X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : ('fun_app$a'('fun_app$b'('eq$',X1),X2) => ('fun_app$a'('semantics_ltln$'(X0),X1) <=> 'fun_app$a'('semantics_ltln$'(X0),X2)))), 3.38/0.98 inference(rectify,[],[f330])). 3.38/0.98 tff(f330,axiom,( 3.38/0.98 ! [X2 : 'Nat_a_set_fun$',X0 : 'A_ltln$',X1 : 'A_ltln$'] : ('fun_app$a'('fun_app$b'('eq$',X0),X1) => ('fun_app$a'('semantics_ltln$'(X2),X0) <=> 'fun_app$a'('semantics_ltln$'(X2),X1)))), 3.38/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.98 tff(f2880,plain,( 3.38/0.98 ( ! [X0 : 'Nat_a_set_fun$'] : (~'fun_app$a'('semantics_ltln$'(X0),'false_ltln$')) )), 3.38/0.98 inference(cnf_transformation,[],[f1174])). 3.38/0.98 tff(f1174,plain,( 3.38/0.98 ! [X0 : 'Nat_a_set_fun$'] : ~'fun_app$a'('semantics_ltln$'(X0),'false_ltln$')), 3.38/0.98 inference(flattening,[],[f1173])). 3.38/0.98 tff(f1173,plain,( 3.38/0.98 ! [X0 : 'Nat_a_set_fun$'] : ~'fun_app$a'('semantics_ltln$'(X0),'false_ltln$')), 3.38/0.98 inference(true_and_false_elimination,[],[f499])). 3.38/0.98 tff(f499,axiom,( 3.38/0.98 ! [X0 : 'Nat_a_set_fun$'] : ('fun_app$a'('semantics_ltln$'(X0),'false_ltln$') <=> $false)), 3.38/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.98 tff(f5357,plain,( 3.38/0.98 ~spl204_94 | ~spl204_63), 3.38/0.98 inference(avatar_split_clause,[],[f5343,f4588,f5354])). 3.38/0.98 tff(f5354,definition,( 3.38/0.98 spl204_94 <=> 'fun_app$a'('fun_app$b'('eq$','until_ltln$'('false_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))),'false_ltln$')), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_94])],[avatar_definition])). 3.38/0.98 tff(f5343,plain,( 3.38/0.98 ~'fun_app$a'('fun_app$b'('eq$','until_ltln$'('false_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))),'false_ltln$') | ~spl204_63), 3.38/0.98 inference(unit_resulting_resolution,[],[f2880,f4589,f3621])). 3.38/0.98 tff(f3621,plain,( 3.38/0.98 ( ! [X2 : 'Nat_a_set_fun$',X0 : 'A_ltln$',X1 : 'A_ltln$'] : (~'fun_app$a'('fun_app$b'('eq$',X0),X1) | 'fun_app$a'('semantics_ltln$'(X2),X1) | ~'fun_app$a'('semantics_ltln$'(X2),X0)) )), 3.38/0.98 inference(cnf_transformation,[],[f2532])). 3.38/0.98 tff(f5352,plain,( 3.38/0.98 spl204_65 | ~spl204_63), 3.38/0.98 inference(avatar_split_clause,[],[f5342,f4588,f4607])). 3.38/0.98 tff(f4607,definition,( 3.38/0.98 spl204_65 <=> 'fun_app$a'('semantics_ltln$'('w$'),'until_ltln$'('false_ltln$','until_ltln$'('false_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))))), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_65])],[avatar_definition])). 3.38/0.98 tff(f5342,plain,( 3.38/0.98 'fun_app$a'('semantics_ltln$'('w$'),'until_ltln$'('false_ltln$','until_ltln$'('false_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))))) | ~spl204_63), 3.38/0.98 inference(unit_resulting_resolution,[],[f4589,f3166])). 3.38/0.98 tff(f3166,plain,( 3.38/0.98 ( ! [X0 : 'A_ltln$',X1 : 'Nat_a_set_fun$'] : ('fun_app$a'('semantics_ltln$'(X1),'until_ltln$'('false_ltln$',X0)) | ~'fun_app$a'('semantics_ltln$'(X1),X0)) )), 3.38/0.98 inference(cnf_transformation,[],[f2188])). 3.38/0.98 tff(f2188,plain,( 3.38/0.98 ! [X0 : 'A_ltln$',X1 : 'Nat_a_set_fun$'] : (('fun_app$a'('semantics_ltln$'(X1),'until_ltln$'('false_ltln$',X0)) | ~'fun_app$a'('semantics_ltln$'(X1),X0)) & ('fun_app$a'('semantics_ltln$'(X1),X0) | ~'fun_app$a'('semantics_ltln$'(X1),'until_ltln$'('false_ltln$',X0))))), 3.38/0.98 inference(nnf_transformation,[],[f1198])). 3.38/0.98 tff(f1198,plain,( 3.38/0.98 ! [X0 : 'A_ltln$',X1 : 'Nat_a_set_fun$'] : ('fun_app$a'('semantics_ltln$'(X1),'until_ltln$'('false_ltln$',X0)) <=> 'fun_app$a'('semantics_ltln$'(X1),X0))), 3.38/0.98 inference(rectify,[],[f637])). 3.38/0.98 tff(f637,axiom,( 3.38/0.98 ! [X1 : 'A_ltln$',X0 : 'Nat_a_set_fun$'] : ('fun_app$a'('semantics_ltln$'(X0),'until_ltln$'('false_ltln$',X1)) <=> 'fun_app$a'('semantics_ltln$'(X0),X1))), 3.38/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.98 tff(f5338,plain,( 3.38/0.98 spl204_93 | ~spl204_26 | ~spl204_37), 3.38/0.98 inference(avatar_split_clause,[],[f5336,f4402,f4346,f5323])). 3.38/0.98 tff(f5323,definition,( 3.38/0.98 spl204_93 <=> $less('fun_app$g'('of_nat$',sK89(sK176)),'fun_app$g'('of_nat$',sK176))), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_93])],[avatar_definition])). 3.38/0.98 tff(f4402,definition,( 3.38/0.98 spl204_37 <=> ! [X3 : 'Nat$'] : ($less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',sK176)) | ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK176,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X3),$uminus('fun_app$g'('of_nat$',sK176))))))),'true_ltln$'))), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_37])],[avatar_definition])). 3.38/0.98 tff(f5336,plain,( 3.38/0.98 $less('fun_app$g'('of_nat$',sK89(sK176)),'fun_app$g'('of_nat$',sK176)) | (~spl204_26 | ~spl204_37)), 3.38/0.98 inference(duplicate_literal_removal,[],[f5327])). 3.38/0.98 tff(f5327,plain,( 3.38/0.98 $less('fun_app$g'('of_nat$',sK89(sK176)),'fun_app$g'('of_nat$',sK176)) | $less('fun_app$g'('of_nat$',sK89(sK176)),'fun_app$g'('of_nat$',sK176)) | (~spl204_26 | ~spl204_37)), 3.38/0.98 inference(resolution,[],[f4347,f4403])). 3.38/0.98 tff(f4403,plain,( 3.38/0.98 ( ! [X3 : 'Nat$'] : (~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK176,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X3),$uminus('fun_app$g'('of_nat$',sK176))))))),'true_ltln$') | $less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',sK176))) ) | ~spl204_37), 3.38/0.98 inference(avatar_component_clause,[],[f4402])). 3.38/0.98 tff(f5337,plain,( 3.38/0.98 spl204_92 | ~spl204_26 | ~spl204_40), 3.38/0.98 inference(avatar_split_clause,[],[f5335,f4418,f4346,f5318])). 3.38/0.98 tff(f5318,definition,( 3.38/0.98 spl204_92 <=> $less('fun_app$g'('of_nat$',sK89(sK88)),'fun_app$g'('of_nat$',sK88))), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_92])],[avatar_definition])). 3.38/0.98 tff(f4418,definition,( 3.38/0.98 spl204_40 <=> ! [X3 : 'Nat$'] : (~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK88,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X3),$uminus('fun_app$g'('of_nat$',sK88))))))),'true_ltln$') | $less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',sK88)))), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_40])],[avatar_definition])). 3.38/0.98 tff(f5335,plain,( 3.38/0.98 $less('fun_app$g'('of_nat$',sK89(sK88)),'fun_app$g'('of_nat$',sK88)) | (~spl204_26 | ~spl204_40)), 3.38/0.98 inference(duplicate_literal_removal,[],[f5328])). 3.38/0.98 tff(f5328,plain,( 3.38/0.98 $less('fun_app$g'('of_nat$',sK89(sK88)),'fun_app$g'('of_nat$',sK88)) | $less('fun_app$g'('of_nat$',sK89(sK88)),'fun_app$g'('of_nat$',sK88)) | (~spl204_26 | ~spl204_40)), 3.38/0.98 inference(resolution,[],[f4347,f4419])). 3.38/0.98 tff(f4419,plain,( 3.38/0.98 ( ! [X3 : 'Nat$'] : (~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK88,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X3),$uminus('fun_app$g'('of_nat$',sK88))))))),'true_ltln$') | $less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',sK88))) ) | ~spl204_40), 3.38/0.98 inference(avatar_component_clause,[],[f4418])). 3.38/0.98 tff(f5326,plain,( 3.38/0.98 ~spl204_93 | ~spl204_16 | spl204_29), 3.38/0.98 inference(avatar_split_clause,[],[f5307,f4359,f4304,f5323])). 3.38/0.98 tff(f4304,definition,( 3.38/0.98 spl204_16 <=> ! [X4 : 'Nat$'] : (~$less('fun_app$g'('of_nat$',sK89(X4)),'fun_app$g'('of_nat$',X4)) | 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X4,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$'))), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_16])],[avatar_definition])). 3.38/0.98 tff(f5307,plain,( 3.38/0.98 ~$less('fun_app$g'('of_nat$',sK89(sK176)),'fun_app$g'('of_nat$',sK176)) | (~spl204_16 | spl204_29)), 3.38/0.98 inference(unit_resulting_resolution,[],[f4361,f4305])). 3.38/0.98 tff(f4305,plain,( 3.38/0.98 ( ! [X4 : 'Nat$'] : ('fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X4,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$') | ~$less('fun_app$g'('of_nat$',sK89(X4)),'fun_app$g'('of_nat$',X4))) ) | ~spl204_16), 3.38/0.98 inference(avatar_component_clause,[],[f4304])). 3.38/0.98 tff(f4361,plain,( 3.38/0.98 ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK176,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$') | spl204_29), 3.38/0.98 inference(avatar_component_clause,[],[f4359])). 3.38/0.98 tff(f5321,plain,( 3.38/0.98 ~spl204_92 | ~spl204_16 | spl204_48), 3.38/0.98 inference(avatar_split_clause,[],[f5310,f4452,f4304,f5318])). 3.38/0.98 tff(f5310,plain,( 3.38/0.98 ~$less('fun_app$g'('of_nat$',sK89(sK88)),'fun_app$g'('of_nat$',sK88)) | (~spl204_16 | spl204_48)), 3.38/0.98 inference(resolution,[],[f4305,f4454])). 3.38/0.98 tff(f5291,plain,( 3.38/0.98 ~spl204_91 | ~spl204_57), 3.38/0.98 inference(avatar_split_clause,[],[f5273,f4541,f5288])). 3.38/0.98 tff(f5288,definition,( 3.38/0.98 spl204_91 <=> 'fun_app$a'('fun_app$b'('eq$','release_ltln$'('true_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))),'false_ltln$')), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_91])],[avatar_definition])). 3.38/0.98 tff(f4541,definition,( 3.38/0.98 spl204_57 <=> 'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('true_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))))), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_57])],[avatar_definition])). 3.38/0.98 tff(f5273,plain,( 3.38/0.98 ~'fun_app$a'('fun_app$b'('eq$','release_ltln$'('true_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))),'false_ltln$') | ~spl204_57), 3.38/0.98 inference(unit_resulting_resolution,[],[f2880,f4542,f3621])). 3.38/0.98 tff(f4542,plain,( 3.38/0.98 'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('true_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))) | ~spl204_57), 3.38/0.98 inference(avatar_component_clause,[],[f4541])). 3.38/0.98 tff(f5286,plain,( 3.38/0.98 ~spl204_90 | ~spl204_57), 3.38/0.98 inference(avatar_split_clause,[],[f5277,f4541,f5283])). 3.38/0.98 tff(f5283,definition,( 3.38/0.98 spl204_90 <=> 'fun_app$a'('fun_app$b'('eq$','false_ltln$'),'release_ltln$'('true_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))))), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_90])],[avatar_definition])). 3.38/0.98 tff(f5277,plain,( 3.38/0.98 ~'fun_app$a'('fun_app$b'('eq$','false_ltln$'),'release_ltln$'('true_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))) | ~spl204_57), 3.38/0.98 inference(unit_resulting_resolution,[],[f2880,f4542,f3622])). 3.38/0.98 tff(f5234,plain,( 3.38/0.98 spl204_10 | ~spl204_3), 3.38/0.98 inference(avatar_split_clause,[],[f4998,f4249,f4282])). 3.38/0.98 tff(f4282,definition,( 3.38/0.98 spl204_10 <=> ! [X0 : 'Nat$'] : 'fun_app$a'('semantics_ltln$'('suffix$'(X0,'w$')),'until_ltln$'('true_ltln$','phi$'))), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_10])],[avatar_definition])). 3.38/0.98 tff(f4249,definition,( 3.38/0.98 spl204_3 <=> ! [X3 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X3,'w$'),'nat$'(0)),sK52(X3)))),'true_ltln$')), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_3])],[avatar_definition])). 3.38/0.98 tff(f4998,plain,( 3.38/0.98 ( ! [X0 : 'Nat$'] : ('fun_app$a'('semantics_ltln$'('suffix$'(X0,'w$')),'until_ltln$'('true_ltln$','phi$'))) ) | ~spl204_3), 3.38/0.98 inference(unit_resulting_resolution,[],[f4250,f3484])). 3.38/0.98 tff(f3484,plain,( 3.38/0.98 ( ! [X2 : 'Nat_a_set_fun$',X0 : 'A_ltln$',X1 : 'Nat$'] : (~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$',X0),'fun_app$d'('subsequence$'(X2,'nat$'(0)),X1))),'true_ltln$') | 'fun_app$a'('semantics_ltln$'(X2),X0)) )), 3.38/0.98 inference(cnf_transformation,[],[f2409])). 3.38/0.98 tff(f2409,plain,( 3.38/0.98 ! [X0 : 'A_ltln$',X1 : 'Nat$',X2 : 'Nat_a_set_fun$'] : (~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$',X0),'fun_app$d'('subsequence$'(X2,'nat$'(0)),X1))),'true_ltln$') | 'fun_app$a'('semantics_ltln$'(X2),X0))), 3.38/0.98 inference(rectify,[],[f1487])). 3.38/0.98 tff(f1487,plain,( 3.38/0.98 ! [X0 : 'A_ltln$',X2 : 'Nat$',X1 : 'Nat_a_set_fun$'] : (~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$',X0),'fun_app$d'('subsequence$'(X1,'nat$'(0)),X2))),'true_ltln$') | 'fun_app$a'('semantics_ltln$'(X1),X0))), 3.38/0.98 inference(ennf_transformation,[],[f123])). 3.38/0.98 tff(f123,axiom,( 3.38/0.98 ! [X1 : 'Nat_a_set_fun$',X0 : 'A_ltln$',X2 : 'Nat$'] : ('fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$',X0),'fun_app$d'('subsequence$'(X1,'nat$'(0)),X2))),'true_ltln$') => 'fun_app$a'('semantics_ltln$'(X1),X0))), 3.38/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.98 tff(f4250,plain,( 3.38/0.98 ( ! [X3 : 'Nat$'] : ('fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X3,'w$'),'nat$'(0)),sK52(X3)))),'true_ltln$')) ) | ~spl204_3), 3.38/0.98 inference(avatar_component_clause,[],[f4249])). 3.38/0.98 tff(f5233,plain,( 3.38/0.98 spl204_87 | ~spl204_40 | ~spl204_52), 3.38/0.98 inference(avatar_split_clause,[],[f5229,f4474,f4418,f5190])). 3.38/0.98 tff(f5190,definition,( 3.38/0.98 spl204_87 <=> $less('fun_app$g'('of_nat$',sK177(sK88)),'fun_app$g'('of_nat$',sK88))), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_87])],[avatar_definition])). 3.38/0.98 tff(f4474,definition,( 3.38/0.98 spl204_52 <=> ! [X4 : 'Nat$'] : ('fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X4,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',sK177(X4)),$uminus('fun_app$g'('of_nat$',X4))))))),'true_ltln$') | $less('fun_app$g'('of_nat$',sK177(X4)),'fun_app$g'('of_nat$',X4)))), 3.38/0.98 introduced(definition,[new_symbols(naming,[spl204_52])],[avatar_definition])). 3.38/0.98 tff(f5229,plain,( 3.38/0.98 $less('fun_app$g'('of_nat$',sK177(sK88)),'fun_app$g'('of_nat$',sK88)) | (~spl204_40 | ~spl204_52)), 3.38/0.98 inference(duplicate_literal_removal,[],[f5219])). 3.38/0.98 tff(f5219,plain,( 3.38/0.98 $less('fun_app$g'('of_nat$',sK177(sK88)),'fun_app$g'('of_nat$',sK88)) | $less('fun_app$g'('of_nat$',sK177(sK88)),'fun_app$g'('of_nat$',sK88)) | (~spl204_40 | ~spl204_52)), 3.38/0.98 inference(resolution,[],[f4475,f4419])). 3.38/0.98 tff(f4475,plain,( 3.38/0.98 ( ! [X4 : 'Nat$'] : ('fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X4,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',sK177(X4)),$uminus('fun_app$g'('of_nat$',X4))))))),'true_ltln$') | $less('fun_app$g'('of_nat$',sK177(X4)),'fun_app$g'('of_nat$',X4))) ) | ~spl204_52), 3.38/0.99 inference(avatar_component_clause,[],[f4474])). 3.38/0.99 tff(f5232,plain,( 3.38/0.99 spl204_86 | ~spl204_11 | ~spl204_52), 3.38/0.99 inference(avatar_split_clause,[],[f5216,f4474,f4285,f5185])). 3.38/0.99 tff(f5185,definition,( 3.38/0.99 spl204_86 <=> $less('fun_app$g'('of_nat$',sK177(sK51)),'fun_app$g'('of_nat$',sK51))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_86])],[avatar_definition])). 3.38/0.99 tff(f4285,definition,( 3.38/0.99 spl204_11 <=> ! [X2 : 'Nat$'] : ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK51,'w$'),'nat$'(0)),X2))),'true_ltln$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_11])],[avatar_definition])). 3.38/0.99 tff(f5216,plain,( 3.38/0.99 $less('fun_app$g'('of_nat$',sK177(sK51)),'fun_app$g'('of_nat$',sK51)) | (~spl204_11 | ~spl204_52)), 3.38/0.99 inference(unit_resulting_resolution,[],[f4286,f4475])). 3.38/0.99 tff(f4286,plain,( 3.38/0.99 ( ! [X2 : 'Nat$'] : (~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK51,'w$'),'nat$'(0)),X2))),'true_ltln$')) ) | ~spl204_11), 3.38/0.99 inference(avatar_component_clause,[],[f4285])). 3.38/0.99 tff(f5231,plain,( 3.38/0.99 spl204_88 | ~spl204_37 | ~spl204_52), 3.38/0.99 inference(avatar_split_clause,[],[f5228,f4474,f4402,f5195])). 3.38/0.99 tff(f5195,definition,( 3.38/0.99 spl204_88 <=> $less('fun_app$g'('of_nat$',sK177(sK176)),'fun_app$g'('of_nat$',sK176))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_88])],[avatar_definition])). 3.38/0.99 tff(f5228,plain,( 3.38/0.99 $less('fun_app$g'('of_nat$',sK177(sK176)),'fun_app$g'('of_nat$',sK176)) | (~spl204_37 | ~spl204_52)), 3.38/0.99 inference(duplicate_literal_removal,[],[f5218])). 3.38/0.99 tff(f5218,plain,( 3.38/0.99 $less('fun_app$g'('of_nat$',sK177(sK176)),'fun_app$g'('of_nat$',sK176)) | $less('fun_app$g'('of_nat$',sK177(sK176)),'fun_app$g'('of_nat$',sK176)) | (~spl204_37 | ~spl204_52)), 3.38/0.99 inference(resolution,[],[f4475,f4403])). 3.38/0.99 tff(f5230,plain,( 3.38/0.99 spl204_89 | ~spl204_15 | ~spl204_52), 3.38/0.99 inference(avatar_split_clause,[],[f5221,f4474,f4301,f5200])). 3.38/0.99 tff(f5200,definition,( 3.38/0.99 spl204_89 <=> $less('fun_app$g'('of_nat$',sK177(sK90)),'fun_app$g'('of_nat$',sK90))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_89])],[avatar_definition])). 3.38/0.99 tff(f4301,definition,( 3.38/0.99 spl204_15 <=> ! [X7 : 'Nat$'] : ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK90,'w$'),'nat$'(0)),X7))),'true_ltln$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_15])],[avatar_definition])). 3.38/0.99 tff(f5221,plain,( 3.38/0.99 $less('fun_app$g'('of_nat$',sK177(sK90)),'fun_app$g'('of_nat$',sK90)) | (~spl204_15 | ~spl204_52)), 3.38/0.99 inference(resolution,[],[f4475,f4302])). 3.38/0.99 tff(f4302,plain,( 3.38/0.99 ( ! [X7 : 'Nat$'] : (~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK90,'w$'),'nat$'(0)),X7))),'true_ltln$')) ) | ~spl204_15), 3.38/0.99 inference(avatar_component_clause,[],[f4301])). 3.38/0.99 tff(f5203,plain,( 3.38/0.99 ~spl204_89 | ~spl204_15 | ~spl204_20), 3.38/0.99 inference(avatar_split_clause,[],[f5177,f4320,f4301,f5200])). 3.38/0.99 tff(f4320,definition,( 3.38/0.99 spl204_20 <=> ! [X4 : 'Nat$'] : ('fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X4,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$') | ~$less('fun_app$g'('of_nat$',sK177(X4)),'fun_app$g'('of_nat$',X4)))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_20])],[avatar_definition])). 3.38/0.99 tff(f5177,plain,( 3.38/0.99 ~$less('fun_app$g'('of_nat$',sK177(sK90)),'fun_app$g'('of_nat$',sK90)) | (~spl204_15 | ~spl204_20)), 3.38/0.99 inference(resolution,[],[f4321,f4302])). 3.38/0.99 tff(f4321,plain,( 3.38/0.99 ( ! [X4 : 'Nat$'] : ('fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X4,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$') | ~$less('fun_app$g'('of_nat$',sK177(X4)),'fun_app$g'('of_nat$',X4))) ) | ~spl204_20), 3.38/0.99 inference(avatar_component_clause,[],[f4320])). 3.38/0.99 tff(f5198,plain,( 3.38/0.99 ~spl204_88 | ~spl204_20 | spl204_29), 3.38/0.99 inference(avatar_split_clause,[],[f5174,f4359,f4320,f5195])). 3.38/0.99 tff(f5174,plain,( 3.38/0.99 ~$less('fun_app$g'('of_nat$',sK177(sK176)),'fun_app$g'('of_nat$',sK176)) | (~spl204_20 | spl204_29)), 3.38/0.99 inference(resolution,[],[f4321,f4361])). 3.38/0.99 tff(f5193,plain,( 3.38/0.99 ~spl204_87 | ~spl204_20 | spl204_48), 3.38/0.99 inference(avatar_split_clause,[],[f5175,f4452,f4320,f5190])). 3.38/0.99 tff(f5175,plain,( 3.38/0.99 ~$less('fun_app$g'('of_nat$',sK177(sK88)),'fun_app$g'('of_nat$',sK88)) | (~spl204_20 | spl204_48)), 3.38/0.99 inference(resolution,[],[f4321,f4454])). 3.38/0.99 tff(f5188,plain,( 3.38/0.99 ~spl204_86 | ~spl204_11 | ~spl204_20), 3.38/0.99 inference(avatar_split_clause,[],[f5172,f4320,f4285,f5185])). 3.38/0.99 tff(f5172,plain,( 3.38/0.99 ~$less('fun_app$g'('of_nat$',sK177(sK51)),'fun_app$g'('of_nat$',sK51)) | (~spl204_11 | ~spl204_20)), 3.38/0.99 inference(unit_resulting_resolution,[],[f4286,f4321])). 3.38/0.99 tff(f5140,plain,( 3.38/0.99 ~spl204_85 | ~spl204_42 | ~spl204_15), 3.38/0.99 inference(avatar_split_clause,[],[f5122,f4301,f4425,f5136])). 3.38/0.99 tff(f5136,definition,( 3.38/0.99 spl204_85 <=> 'fun_app$a'('semantics_ltln$'('suffix$'(sK90,'w$')),'until_ltln$'('true_ltln$','phi$'))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_85])],[avatar_definition])). 3.38/0.99 tff(f4425,definition,( 3.38/0.99 spl204_42 <=> 'member$'('until_ltln$'('true_ltln$','phi$'),'mu_LTL$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_42])],[avatar_definition])). 3.38/0.99 tff(f5122,plain,( 3.38/0.99 ~'member$'('until_ltln$'('true_ltln$','phi$'),'mu_LTL$') | ~'fun_app$a'('semantics_ltln$'('suffix$'(sK90,'w$')),'until_ltln$'('true_ltln$','phi$')) | ~spl204_15), 3.38/0.99 inference(resolution,[],[f2934,f4302])). 3.38/0.99 tff(f2934,plain,( 3.38/0.99 ( ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : ('fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$',X1),'fun_app$d'('subsequence$'(X0,'nat$'(0)),sK50(X0,X1)))),'true_ltln$') | ~'fun_app$a'('semantics_ltln$'(X0),X1) | ~'member$'(X1,'mu_LTL$')) )), 3.38/0.99 inference(cnf_transformation,[],[f2004])). 3.38/0.99 tff(f2004,plain,( 3.38/0.99 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : (~'fun_app$a'('semantics_ltln$'(X0),X1) | ~'member$'(X1,'mu_LTL$') | 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$',X1),'fun_app$d'('subsequence$'(X0,'nat$'(0)),sK50(X0,X1)))),'true_ltln$'))), 3.38/0.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK50])],[f1748,f2003])). 3.38/0.99 tff(f2003,plain,( 3.38/0.99 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : (? [X2 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$',X1),'fun_app$d'('subsequence$'(X0,'nat$'(0)),X2))),'true_ltln$') => 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$',X1),'fun_app$d'('subsequence$'(X0,'nat$'(0)),sK50(X0,X1)))),'true_ltln$'))), 3.38/0.99 introduced(definition,[],[choice_axiom])). 3.38/0.99 tff(f1748,plain,( 3.38/0.99 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : (~'fun_app$a'('semantics_ltln$'(X0),X1) | ~'member$'(X1,'mu_LTL$') | ? [X2 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$',X1),'fun_app$d'('subsequence$'(X0,'nat$'(0)),X2))),'true_ltln$'))), 3.38/0.99 inference(flattening,[],[f1747])). 3.38/0.99 tff(f1747,plain,( 3.38/0.99 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : (? [X2 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$',X1),'fun_app$d'('subsequence$'(X0,'nat$'(0)),X2))),'true_ltln$') | (~'fun_app$a'('semantics_ltln$'(X0),X1) | ~'member$'(X1,'mu_LTL$')))), 3.38/0.99 inference(ennf_transformation,[],[f1079])). 3.38/0.99 tff(f1079,plain,( 3.38/0.99 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : (('fun_app$a'('semantics_ltln$'(X0),X1) & 'member$'(X1,'mu_LTL$')) => ? [X2 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$',X1),'fun_app$d'('subsequence$'(X0,'nat$'(0)),X2))),'true_ltln$'))), 3.38/0.99 inference(rectify,[],[f309])). 3.38/0.99 tff(f309,axiom,( 3.38/0.99 ! [X1 : 'Nat_a_set_fun$',X0 : 'A_ltln$'] : (('member$'(X0,'mu_LTL$') & 'fun_app$a'('semantics_ltln$'(X1),X0)) => ? [X2 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$',X0),'fun_app$d'('subsequence$'(X1,'nat$'(0)),X2))),'true_ltln$'))), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f5139,plain,( 3.38/0.99 ~spl204_85 | ~spl204_15 | ~spl204_42), 3.38/0.99 inference(avatar_split_clause,[],[f5119,f4425,f4301,f5136])). 3.38/0.99 tff(f5119,plain,( 3.38/0.99 ~'fun_app$a'('semantics_ltln$'('suffix$'(sK90,'w$')),'until_ltln$'('true_ltln$','phi$')) | (~spl204_15 | ~spl204_42)), 3.38/0.99 inference(unit_resulting_resolution,[],[f4427,f4302,f2934])). 3.38/0.99 tff(f4427,plain,( 3.38/0.99 'member$'('until_ltln$'('true_ltln$','phi$'),'mu_LTL$') | ~spl204_42), 3.38/0.99 inference(avatar_component_clause,[],[f4425])). 3.38/0.99 tff(f5134,plain,( 3.38/0.99 ~spl204_84 | ~spl204_11 | ~spl204_42), 3.38/0.99 inference(avatar_split_clause,[],[f5118,f4425,f4285,f5130])). 3.38/0.99 tff(f5130,definition,( 3.38/0.99 spl204_84 <=> 'fun_app$a'('semantics_ltln$'('suffix$'(sK51,'w$')),'until_ltln$'('true_ltln$','phi$'))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_84])],[avatar_definition])). 3.38/0.99 tff(f5118,plain,( 3.38/0.99 ~'fun_app$a'('semantics_ltln$'('suffix$'(sK51,'w$')),'until_ltln$'('true_ltln$','phi$')) | (~spl204_11 | ~spl204_42)), 3.38/0.99 inference(unit_resulting_resolution,[],[f4427,f4286,f2934])). 3.38/0.99 tff(f5133,plain,( 3.38/0.99 ~spl204_84 | ~spl204_42 | ~spl204_11), 3.38/0.99 inference(avatar_split_clause,[],[f5121,f4285,f4425,f5130])). 3.38/0.99 tff(f5121,plain,( 3.38/0.99 ~'member$'('until_ltln$'('true_ltln$','phi$'),'mu_LTL$') | ~'fun_app$a'('semantics_ltln$'('suffix$'(sK51,'w$')),'until_ltln$'('true_ltln$','phi$')) | ~spl204_11), 3.38/0.99 inference(resolution,[],[f2934,f4286])). 3.38/0.99 tff(f5110,plain,( 3.38/0.99 ~spl204_83 | spl204_48), 3.38/0.99 inference(avatar_split_clause,[],[f5099,f4452,f5107])). 3.38/0.99 tff(f5107,definition,( 3.38/0.99 spl204_83 <=> 'fun_app$a'('fun_app$b'('eq$','true_ltln$'),'fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK88,'w$'),'nat$'(0)),'nat$'(0))))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_83])],[avatar_definition])). 3.38/0.99 tff(f5099,plain,( 3.38/0.99 ~'fun_app$a'('fun_app$b'('eq$','true_ltln$'),'fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK88,'w$'),'nat$'(0)),'nat$'(0)))) | spl204_48), 3.38/0.99 inference(unit_resulting_resolution,[],[f4454,f3552])). 3.38/0.99 tff(f5105,plain,( 3.38/0.99 ~spl204_82 | spl204_48), 3.38/0.99 inference(avatar_split_clause,[],[f5100,f4452,f5102])). 3.38/0.99 tff(f5102,definition,( 3.38/0.99 spl204_82 <=> 'fun_app$a'('fun_app$b'('ltl_const_equiv$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK88,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_82])],[avatar_definition])). 3.38/0.99 tff(f5100,plain,( 3.38/0.99 ~'fun_app$a'('fun_app$b'('ltl_const_equiv$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK88,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$') | spl204_48), 3.38/0.99 inference(unit_resulting_resolution,[],[f4454,f3448])). 3.38/0.99 tff(f3448,plain,( 3.38/0.99 ( ! [X0 : 'A_ltln$',X1 : 'A_ltln$'] : (~'fun_app$a'('fun_app$b'('ltl_const_equiv$',X0),X1) | 'fun_app$a'('fun_app$b'('eq$',X0),X1)) )), 3.38/0.99 inference(cnf_transformation,[],[f1379])). 3.38/0.99 tff(f1379,plain,( 3.38/0.99 ! [X0 : 'A_ltln$',X1 : 'A_ltln$'] : ('fun_app$a'('fun_app$b'('eq$',X0),X1) | ~'fun_app$a'('fun_app$b'('ltl_const_equiv$',X0),X1))), 3.38/0.99 inference(ennf_transformation,[],[f39])). 3.38/0.99 tff(f39,axiom,( 3.38/0.99 ! [X1 : 'A_ltln$',X0 : 'A_ltln$'] : ('fun_app$a'('fun_app$b'('ltl_const_equiv$',X0),X1) => 'fun_app$a'('fun_app$b'('eq$',X0),X1))), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f5084,plain,( 3.38/0.99 ~spl204_81 | spl204_29), 3.38/0.99 inference(avatar_split_clause,[],[f5073,f4359,f5081])). 3.38/0.99 tff(f5073,plain,( 3.38/0.99 ~'fun_app$a'('fun_app$b'('eq$','true_ltln$'),'fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK176,'w$'),'nat$'(0)),'nat$'(0)))) | spl204_29), 3.38/0.99 inference(unit_resulting_resolution,[],[f4361,f3552])). 3.38/0.99 tff(f5079,plain,( 3.38/0.99 ~spl204_80 | spl204_29), 3.38/0.99 inference(avatar_split_clause,[],[f5074,f4359,f5076])). 3.38/0.99 tff(f5076,definition,( 3.38/0.99 spl204_80 <=> 'fun_app$a'('fun_app$b'('ltl_const_equiv$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK176,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_80])],[avatar_definition])). 3.38/0.99 tff(f5074,plain,( 3.38/0.99 ~'fun_app$a'('fun_app$b'('ltl_const_equiv$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK176,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$') | spl204_29), 3.38/0.99 inference(unit_resulting_resolution,[],[f4361,f3448])). 3.38/0.99 tff(f5026,plain,( 3.38/0.99 ~spl204_70 | ~spl204_3 | ~spl204_15), 3.38/0.99 inference(avatar_split_clause,[],[f5007,f4301,f4249,f4791])). 3.38/0.99 tff(f5007,plain,( 3.38/0.99 ~'fun_app$a'('fun_app$b'('eq$','true_ltln$'),'true_ltln$') | (~spl204_3 | ~spl204_15)), 3.38/0.99 inference(unit_resulting_resolution,[],[f4302,f4250,f3441])). 3.38/0.99 tff(f5025,plain,( 3.38/0.99 ~spl204_70 | ~spl204_3 | ~spl204_11), 3.38/0.99 inference(avatar_split_clause,[],[f5005,f4285,f4249,f4791])). 3.38/0.99 tff(f5005,plain,( 3.38/0.99 ~'fun_app$a'('fun_app$b'('eq$','true_ltln$'),'true_ltln$') | (~spl204_3 | ~spl204_11)), 3.38/0.99 inference(unit_resulting_resolution,[],[f4286,f4250,f3441])). 3.38/0.99 tff(f5024,plain,( 3.38/0.99 ~spl204_3 | ~spl204_11), 3.38/0.99 inference(avatar_contradiction_clause,[],[f4997])). 3.38/0.99 tff(f4997,plain,( 3.38/0.99 $false | (~spl204_3 | ~spl204_11)), 3.38/0.99 inference(unit_resulting_resolution,[],[f4286,f4250])). 3.38/0.99 tff(f5023,plain,( 3.38/0.99 ~spl204_3 | ~spl204_15), 3.38/0.99 inference(avatar_contradiction_clause,[],[f5012])). 3.38/0.99 tff(f5012,plain,( 3.38/0.99 $false | (~spl204_3 | ~spl204_15)), 3.38/0.99 inference(resolution,[],[f4250,f4302])). 3.38/0.99 tff(f5022,plain,( 3.38/0.99 ~spl204_3 | ~spl204_11), 3.38/0.99 inference(avatar_contradiction_clause,[],[f5006])). 3.38/0.99 tff(f5006,plain,( 3.38/0.99 $false | (~spl204_3 | ~spl204_11)), 3.38/0.99 inference(unit_resulting_resolution,[],[f3651,f4286,f4250,f3441])). 3.38/0.99 tff(f5021,plain,( 3.38/0.99 ~spl204_3 | ~spl204_11), 3.38/0.99 inference(avatar_contradiction_clause,[],[f5011])). 3.38/0.99 tff(f5011,plain,( 3.38/0.99 $false | (~spl204_3 | ~spl204_11)), 3.38/0.99 inference(resolution,[],[f4250,f4286])). 3.38/0.99 tff(f5020,plain,( 3.38/0.99 ~spl204_3 | ~spl204_15), 3.38/0.99 inference(avatar_contradiction_clause,[],[f5008])). 3.38/0.99 tff(f5008,plain,( 3.38/0.99 $false | (~spl204_3 | ~spl204_15)), 3.38/0.99 inference(unit_resulting_resolution,[],[f3651,f4302,f4250,f3441])). 3.38/0.99 tff(f5019,plain,( 3.38/0.99 ~spl204_3 | ~spl204_11), 3.38/0.99 inference(avatar_contradiction_clause,[],[f5003])). 3.38/0.99 tff(f5003,plain,( 3.38/0.99 $false | (~spl204_3 | ~spl204_11)), 3.38/0.99 inference(unit_resulting_resolution,[],[f4286,f3651,f4250,f3441])). 3.38/0.99 tff(f4996,plain,( 3.38/0.99 ~spl204_79 | spl204_78), 3.38/0.99 inference(avatar_split_clause,[],[f4991,f4956,f4993])). 3.38/0.99 tff(f4993,definition,( 3.38/0.99 spl204_79 <=> 'fun_app$a'('fun_app$b'('ltl_const_equiv$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))),'false_ltln$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_79])],[avatar_definition])). 3.38/0.99 tff(f4956,definition,( 3.38/0.99 spl204_78 <=> 'fun_app$a'('fun_app$b'('eq$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))),'false_ltln$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_78])],[avatar_definition])). 3.38/0.99 tff(f4991,plain,( 3.38/0.99 ~'fun_app$a'('fun_app$b'('ltl_const_equiv$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))),'false_ltln$') | spl204_78), 3.38/0.99 inference(unit_resulting_resolution,[],[f4958,f3448])). 3.38/0.99 tff(f4958,plain,( 3.38/0.99 ~'fun_app$a'('fun_app$b'('eq$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))),'false_ltln$') | spl204_78), 3.38/0.99 inference(avatar_component_clause,[],[f4956])). 3.38/0.99 tff(f4959,plain,( 3.38/0.99 ~spl204_78 | ~spl204_6), 3.38/0.99 inference(avatar_split_clause,[],[f4944,f4264,f4956])). 3.38/0.99 tff(f4264,definition,( 3.38/0.99 spl204_6 <=> 'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_6])],[avatar_definition])). 3.38/0.99 tff(f4944,plain,( 3.38/0.99 ~'fun_app$a'('fun_app$b'('eq$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))),'false_ltln$') | ~spl204_6), 3.38/0.99 inference(unit_resulting_resolution,[],[f2880,f4265,f3621])). 3.38/0.99 tff(f4265,plain,( 3.38/0.99 'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))) | ~spl204_6), 3.38/0.99 inference(avatar_component_clause,[],[f4264])). 3.38/0.99 tff(f4954,plain,( 3.38/0.99 ~spl204_77 | ~spl204_6), 3.38/0.99 inference(avatar_split_clause,[],[f4940,f4264,f4951])). 3.38/0.99 tff(f4951,definition,( 3.38/0.99 spl204_77 <=> 'fun_app$a'('fun_app$b'('eq$','false_ltln$'),'release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_77])],[avatar_definition])). 3.38/0.99 tff(f4940,plain,( 3.38/0.99 ~'fun_app$a'('fun_app$b'('eq$','false_ltln$'),'release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))) | ~spl204_6), 3.38/0.99 inference(unit_resulting_resolution,[],[f2880,f4265,f3622])). 3.38/0.99 tff(f4937,plain,( 3.38/0.99 ~spl204_57 | spl204_62), 3.38/0.99 inference(avatar_split_clause,[],[f4665,f4583,f4541])). 3.38/0.99 tff(f4583,definition,( 3.38/0.99 spl204_62 <=> 'fun_app$a'('semantics_ltln$'('w$'),'until_ltln$'('false_ltln$','release_ltln$'('true_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_62])],[avatar_definition])). 3.38/0.99 tff(f4665,plain,( 3.38/0.99 ~'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('true_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))) | spl204_62), 3.38/0.99 inference(unit_resulting_resolution,[],[f4585,f3166])). 3.38/0.99 tff(f4585,plain,( 3.38/0.99 ~'fun_app$a'('semantics_ltln$'('w$'),'until_ltln$'('false_ltln$','release_ltln$'('true_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))))) | spl204_62), 3.38/0.99 inference(avatar_component_clause,[],[f4583])). 3.38/0.99 tff(f4936,plain,( 3.38/0.99 ~spl204_57 | spl204_59), 3.38/0.99 inference(avatar_split_clause,[],[f4635,f4559,f4541])). 3.38/0.99 tff(f4559,definition,( 3.38/0.99 spl204_59 <=> 'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('true_ltln$','release_ltln$'('true_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_59])],[avatar_definition])). 3.38/0.99 tff(f4635,plain,( 3.38/0.99 ~'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('true_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))) | spl204_59), 3.38/0.99 inference(resolution,[],[f4561,f2909])). 3.38/0.99 tff(f4561,plain,( 3.38/0.99 ~'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('true_ltln$','release_ltln$'('true_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))))) | spl204_59), 3.38/0.99 inference(avatar_component_clause,[],[f4559])). 3.38/0.99 tff(f4935,plain,( 3.38/0.99 spl204_74 | ~spl204_46), 3.38/0.99 inference(avatar_split_clause,[],[f4919,f4445,f4923])). 3.38/0.99 tff(f4923,definition,( 3.38/0.99 spl204_74 <=> 'fun_app$a'('semantics_ltln$'('w$'),'until_ltln$'('true_ltln$','phi$'))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_74])],[avatar_definition])). 3.38/0.99 tff(f4445,definition,( 3.38/0.99 spl204_46 <=> ! [X2 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X2),sK180(X2)))),'true_ltln$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_46])],[avatar_definition])). 3.38/0.99 tff(f4919,plain,( 3.38/0.99 'fun_app$a'('semantics_ltln$'('w$'),'until_ltln$'('true_ltln$','phi$')) | ~spl204_46), 3.38/0.99 inference(resolution,[],[f3484,f4446])). 3.38/0.99 tff(f4446,plain,( 3.38/0.99 ( ! [X2 : 'Nat$'] : ('fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X2),sK180(X2)))),'true_ltln$')) ) | ~spl204_46), 3.38/0.99 inference(avatar_component_clause,[],[f4445])). 3.38/0.99 tff(f4934,plain,( 3.38/0.99 spl204_75 | ~spl204_76), 3.38/0.99 inference(avatar_split_clause,[],[f4921,f4931,f4928])). 3.38/0.99 tff(f4928,definition,( 3.38/0.99 spl204_75 <=> ! [X0 : 'Nat_a_set_fun$'] : 'fun_app$a'('semantics_ltln$'(X0),'false_ltln$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_75])],[avatar_definition])). 3.38/0.99 tff(f4931,definition,( 3.38/0.99 spl204_76 <=> 'fun_app$a'('fun_app$b'('eq$','false_ltln$'),'true_ltln$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_76])],[avatar_definition])). 3.38/0.99 tff(f4921,plain,( 3.38/0.99 ( ! [X0 : 'Nat_a_set_fun$'] : (~'fun_app$a'('fun_app$b'('eq$','false_ltln$'),'true_ltln$') | 'fun_app$a'('semantics_ltln$'(X0),'false_ltln$')) )), 3.38/0.99 inference(superposition,[],[f3484,f2982])). 3.38/0.99 tff(f2982,plain,( 3.38/0.99 ( ! [X0 : 'A_set_list$'] : ('false_ltln$' = 'fun_app$c'('foldl$'('af_letter$','false_ltln$'),X0)) )), 3.38/0.99 inference(cnf_transformation,[],[f549])). 3.38/0.99 tff(f549,axiom,( 3.38/0.99 ! [X0 : 'A_set_list$'] : 'false_ltln$' = 'fun_app$c'('foldl$'('af_letter$','false_ltln$'),X0)), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4926,plain,( 3.38/0.99 spl204_74 | ~spl204_28), 3.38/0.99 inference(avatar_split_clause,[],[f4918,f4356,f4923])). 3.38/0.99 tff(f4918,plain,( 3.38/0.99 'fun_app$a'('semantics_ltln$'('w$'),'until_ltln$'('true_ltln$','phi$')) | ~spl204_28), 3.38/0.99 inference(unit_resulting_resolution,[],[f4357,f3484])). 3.38/0.99 tff(f4876,plain,( 3.38/0.99 ~spl204_71 | ~spl204_2), 3.38/0.99 inference(avatar_split_clause,[],[f4867,f4245,f4848])). 3.38/0.99 tff(f4848,definition,( 3.38/0.99 spl204_71 <=> 'fun_app$a'('fun_app$b'('eq$','until_ltln$'('true_ltln$','phi$')),'false_ltln$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_71])],[avatar_definition])). 3.38/0.99 tff(f4245,definition,( 3.38/0.99 spl204_2 <=> 'fun_app$a'('semantics_ltln$'('suffix$'(sK53,'w$')),'until_ltln$'('true_ltln$','phi$'))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_2])],[avatar_definition])). 3.38/0.99 tff(f4867,plain,( 3.38/0.99 ~'fun_app$a'('fun_app$b'('eq$','until_ltln$'('true_ltln$','phi$')),'false_ltln$') | ~spl204_2), 3.38/0.99 inference(unit_resulting_resolution,[],[f2880,f4246,f3621])). 3.38/0.99 tff(f4246,plain,( 3.38/0.99 'fun_app$a'('semantics_ltln$'('suffix$'(sK53,'w$')),'until_ltln$'('true_ltln$','phi$')) | ~spl204_2), 3.38/0.99 inference(avatar_component_clause,[],[f4245])). 3.38/0.99 tff(f4875,plain,( 3.38/0.99 spl204_58 | ~spl204_2), 3.38/0.99 inference(avatar_split_clause,[],[f4872,f4245,f4546])). 3.38/0.99 tff(f4546,definition,( 3.38/0.99 spl204_58 <=> 'fun_app$a'('semantics_ltln$'('suffix$'(sK53,'w$')),'release_ltln$'('true_ltln$','until_ltln$'('true_ltln$','phi$')))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_58])],[avatar_definition])). 3.38/0.99 tff(f4872,plain,( 3.38/0.99 'fun_app$a'('semantics_ltln$'('suffix$'(sK53,'w$')),'release_ltln$'('true_ltln$','until_ltln$'('true_ltln$','phi$'))) | ~spl204_2), 3.38/0.99 inference(unit_resulting_resolution,[],[f4246,f2909])). 3.38/0.99 tff(f4874,plain,( 3.38/0.99 spl204_61 | ~spl204_2), 3.38/0.99 inference(avatar_split_clause,[],[f4871,f4245,f4578])). 3.38/0.99 tff(f4578,definition,( 3.38/0.99 spl204_61 <=> 'fun_app$a'('semantics_ltln$'('suffix$'(sK53,'w$')),'until_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_61])],[avatar_definition])). 3.38/0.99 tff(f4871,plain,( 3.38/0.99 'fun_app$a'('semantics_ltln$'('suffix$'(sK53,'w$')),'until_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))) | ~spl204_2), 3.38/0.99 inference(unit_resulting_resolution,[],[f4246,f3166])). 3.38/0.99 tff(f4873,plain,( 3.38/0.99 ~spl204_72 | ~spl204_2), 3.38/0.99 inference(avatar_split_clause,[],[f4863,f4245,f4853])). 3.38/0.99 tff(f4853,definition,( 3.38/0.99 spl204_72 <=> 'fun_app$a'('fun_app$b'('eq$','false_ltln$'),'until_ltln$'('true_ltln$','phi$'))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_72])],[avatar_definition])). 3.38/0.99 tff(f4863,plain,( 3.38/0.99 ~'fun_app$a'('fun_app$b'('eq$','false_ltln$'),'until_ltln$'('true_ltln$','phi$')) | ~spl204_2), 3.38/0.99 inference(unit_resulting_resolution,[],[f2880,f4246,f3622])). 3.38/0.99 tff(f4861,plain,( 3.38/0.99 ~spl204_73 | ~spl204_10 | spl204_44), 3.38/0.99 inference(avatar_split_clause,[],[f4828,f4436,f4282,f4858])). 3.38/0.99 tff(f4858,definition,( 3.38/0.99 spl204_73 <=> 'fun_app$a'('fun_app$b'('eq$','until_ltln$'('true_ltln$','phi$')),'until_ltln$'('true_ltln$','phi$'))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_73])],[avatar_definition])). 3.38/0.99 tff(f4436,definition,( 3.38/0.99 spl204_44 <=> 'fun_app$a'('semantics_ltln$'('suffix$'(sK37,'w$')),'until_ltln$'('true_ltln$','phi$'))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_44])],[avatar_definition])). 3.38/0.99 tff(f4828,plain,( 3.38/0.99 ~'fun_app$a'('fun_app$b'('eq$','until_ltln$'('true_ltln$','phi$')),'until_ltln$'('true_ltln$','phi$')) | (~spl204_10 | spl204_44)), 3.38/0.99 inference(unit_resulting_resolution,[],[f4438,f4283,f3622])). 3.38/0.99 tff(f4283,plain,( 3.38/0.99 ( ! [X0 : 'Nat$'] : ('fun_app$a'('semantics_ltln$'('suffix$'(X0,'w$')),'until_ltln$'('true_ltln$','phi$'))) ) | ~spl204_10), 3.38/0.99 inference(avatar_component_clause,[],[f4282])). 3.38/0.99 tff(f4438,plain,( 3.38/0.99 ~'fun_app$a'('semantics_ltln$'('suffix$'(sK37,'w$')),'until_ltln$'('true_ltln$','phi$')) | spl204_44), 3.38/0.99 inference(avatar_component_clause,[],[f4436])). 3.38/0.99 tff(f4856,plain,( 3.38/0.99 ~spl204_72 | ~spl204_10), 3.38/0.99 inference(avatar_split_clause,[],[f4829,f4282,f4853])). 3.38/0.99 tff(f4829,plain,( 3.38/0.99 ~'fun_app$a'('fun_app$b'('eq$','false_ltln$'),'until_ltln$'('true_ltln$','phi$')) | ~spl204_10), 3.38/0.99 inference(unit_resulting_resolution,[],[f2880,f4283,f3622])). 3.38/0.99 tff(f4851,plain,( 3.38/0.99 ~spl204_71 | ~spl204_10), 3.38/0.99 inference(avatar_split_clause,[],[f4835,f4282,f4848])). 3.38/0.99 tff(f4835,plain,( 3.38/0.99 ~'fun_app$a'('fun_app$b'('eq$','until_ltln$'('true_ltln$','phi$')),'false_ltln$') | ~spl204_10), 3.38/0.99 inference(unit_resulting_resolution,[],[f2880,f4283,f3621])). 3.38/0.99 tff(f4846,plain,( 3.38/0.99 ~spl204_10 | spl204_44), 3.38/0.99 inference(avatar_contradiction_clause,[],[f4833])). 3.38/0.99 tff(f4833,plain,( 3.38/0.99 $false | (~spl204_10 | spl204_44)), 3.38/0.99 inference(unit_resulting_resolution,[],[f4438,f3651,f4283,f3622])). 3.38/0.99 tff(f4845,plain,( 3.38/0.99 ~spl204_10 | spl204_44), 3.38/0.99 inference(avatar_contradiction_clause,[],[f4826])). 3.38/0.99 tff(f4826,plain,( 3.38/0.99 $false | (~spl204_10 | spl204_44)), 3.38/0.99 inference(unit_resulting_resolution,[],[f4438,f4283])). 3.38/0.99 tff(f4844,plain,( 3.38/0.99 ~spl204_10 | spl204_44), 3.38/0.99 inference(avatar_contradiction_clause,[],[f4839])). 3.38/0.99 tff(f4839,plain,( 3.38/0.99 $false | (~spl204_10 | spl204_44)), 3.38/0.99 inference(unit_resulting_resolution,[],[f4438,f3651,f4283,f3621])). 3.38/0.99 tff(f4843,plain,( 3.38/0.99 ~spl204_10 | spl204_44), 3.38/0.99 inference(avatar_contradiction_clause,[],[f4842])). 3.38/0.99 tff(f4842,plain,( 3.38/0.99 $false | (~spl204_10 | spl204_44)), 3.38/0.99 inference(resolution,[],[f4283,f4438])). 3.38/0.99 tff(f4796,plain,( 3.38/0.99 ~spl204_6 | spl204_63), 3.38/0.99 inference(avatar_split_clause,[],[f4600,f4588,f4264])). 3.38/0.99 tff(f4600,plain,( 3.38/0.99 ~'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))) | spl204_63), 3.38/0.99 inference(resolution,[],[f4590,f3166])). 3.38/0.99 tff(f4590,plain,( 3.38/0.99 ~'fun_app$a'('semantics_ltln$'('w$'),'until_ltln$'('false_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))) | spl204_63), 3.38/0.99 inference(avatar_component_clause,[],[f4588])). 3.38/0.99 tff(f4795,plain,( 3.38/0.99 ~spl204_6 | spl204_57), 3.38/0.99 inference(avatar_split_clause,[],[f4557,f4541,f4264])). 3.38/0.99 tff(f4557,plain,( 3.38/0.99 ~'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))) | spl204_57), 3.38/0.99 inference(resolution,[],[f4543,f2909])). 3.38/0.99 tff(f4543,plain,( 3.38/0.99 ~'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('true_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))) | spl204_57), 3.38/0.99 inference(avatar_component_clause,[],[f4541])). 3.38/0.99 tff(f4794,plain,( 3.38/0.99 ~spl204_70 | ~spl204_21 | ~spl204_46), 3.38/0.99 inference(avatar_split_clause,[],[f4781,f4445,f4323,f4791])). 3.38/0.99 tff(f4781,plain,( 3.38/0.99 ~'fun_app$a'('fun_app$b'('eq$','true_ltln$'),'true_ltln$') | (~spl204_21 | ~spl204_46)), 3.38/0.99 inference(unit_resulting_resolution,[],[f4446,f4324,f3441])). 3.38/0.99 tff(f4789,plain,( 3.38/0.99 ~spl204_21 | ~spl204_46), 3.38/0.99 inference(avatar_contradiction_clause,[],[f4782])). 3.38/0.99 tff(f4782,plain,( 3.38/0.99 $false | (~spl204_21 | ~spl204_46)), 3.38/0.99 inference(unit_resulting_resolution,[],[f3651,f4446,f4324,f3441])). 3.38/0.99 tff(f4788,plain,( 3.38/0.99 ~spl204_21 | ~spl204_46), 3.38/0.99 inference(avatar_contradiction_clause,[],[f4776])). 3.38/0.99 tff(f4776,plain,( 3.38/0.99 $false | (~spl204_21 | ~spl204_46)), 3.38/0.99 inference(unit_resulting_resolution,[],[f4446,f4324])). 3.38/0.99 tff(f4787,plain,( 3.38/0.99 ~spl204_21 | ~spl204_46), 3.38/0.99 inference(avatar_contradiction_clause,[],[f4785])). 3.38/0.99 tff(f4785,plain,( 3.38/0.99 $false | (~spl204_21 | ~spl204_46)), 3.38/0.99 inference(resolution,[],[f4324,f4446])). 3.38/0.99 tff(f4786,plain,( 3.38/0.99 ~spl204_21 | ~spl204_46), 3.38/0.99 inference(avatar_contradiction_clause,[],[f4780])). 3.38/0.99 tff(f4780,plain,( 3.38/0.99 $false | (~spl204_21 | ~spl204_46)), 3.38/0.99 inference(unit_resulting_resolution,[],[f4446,f3651,f4324,f3441])). 3.38/0.99 tff(f4678,plain,( 3.38/0.99 ~spl204_69 | spl204_62), 3.38/0.99 inference(avatar_split_clause,[],[f4666,f4583,f4675])). 3.38/0.99 tff(f4675,definition,( 3.38/0.99 spl204_69 <=> 'fun_app$a'('semantics_ltln$'('w$'),'until_ltln$'('false_ltln$','until_ltln$'('false_ltln$','release_ltln$'('true_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))))))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_69])],[avatar_definition])). 3.38/0.99 tff(f4666,plain,( 3.38/0.99 ~'fun_app$a'('semantics_ltln$'('w$'),'until_ltln$'('false_ltln$','until_ltln$'('false_ltln$','release_ltln$'('true_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))))) | spl204_62), 3.38/0.99 inference(unit_resulting_resolution,[],[f4585,f3165])). 3.38/0.99 tff(f3165,plain,( 3.38/0.99 ( ! [X0 : 'A_ltln$',X1 : 'Nat_a_set_fun$'] : (~'fun_app$a'('semantics_ltln$'(X1),'until_ltln$'('false_ltln$',X0)) | 'fun_app$a'('semantics_ltln$'(X1),X0)) )), 3.38/0.99 inference(cnf_transformation,[],[f2188])). 3.38/0.99 tff(f4673,plain,( 3.38/0.99 ~spl204_68 | spl204_62), 3.38/0.99 inference(avatar_split_clause,[],[f4667,f4583,f4670])). 3.38/0.99 tff(f4670,definition,( 3.38/0.99 spl204_68 <=> 'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('true_ltln$','until_ltln$'('false_ltln$','release_ltln$'('true_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))))))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_68])],[avatar_definition])). 3.38/0.99 tff(f4667,plain,( 3.38/0.99 ~'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('true_ltln$','until_ltln$'('false_ltln$','release_ltln$'('true_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))))) | spl204_62), 3.38/0.99 inference(unit_resulting_resolution,[],[f4585,f2908])). 3.38/0.99 tff(f2908,plain,( 3.38/0.99 ( ! [X0 : 'A_ltln$',X1 : 'Nat_a_set_fun$'] : (~'fun_app$a'('semantics_ltln$'(X1),'release_ltln$'('true_ltln$',X0)) | 'fun_app$a'('semantics_ltln$'(X1),X0)) )), 3.38/0.99 inference(cnf_transformation,[],[f1981])). 3.38/0.99 tff(f4645,plain,( 3.38/0.99 ~spl204_67 | spl204_59), 3.38/0.99 inference(avatar_split_clause,[],[f4634,f4559,f4642])). 3.38/0.99 tff(f4642,definition,( 3.38/0.99 spl204_67 <=> 'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('true_ltln$','release_ltln$'('true_ltln$','release_ltln$'('true_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))))))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_67])],[avatar_definition])). 3.38/0.99 tff(f4634,plain,( 3.38/0.99 ~'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('true_ltln$','release_ltln$'('true_ltln$','release_ltln$'('true_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))))) | spl204_59), 3.38/0.99 inference(unit_resulting_resolution,[],[f4561,f2908])). 3.38/0.99 tff(f4640,plain,( 3.38/0.99 ~spl204_66 | spl204_59), 3.38/0.99 inference(avatar_split_clause,[],[f4633,f4559,f4637])). 3.38/0.99 tff(f4637,definition,( 3.38/0.99 spl204_66 <=> 'fun_app$a'('semantics_ltln$'('w$'),'until_ltln$'('false_ltln$','release_ltln$'('true_ltln$','release_ltln$'('true_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))))))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_66])],[avatar_definition])). 3.38/0.99 tff(f4633,plain,( 3.38/0.99 ~'fun_app$a'('semantics_ltln$'('w$'),'until_ltln$'('false_ltln$','release_ltln$'('true_ltln$','release_ltln$'('true_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))))) | spl204_59), 3.38/0.99 inference(unit_resulting_resolution,[],[f4561,f3165])). 3.38/0.99 tff(f4610,plain,( 3.38/0.99 ~spl204_65 | spl204_63), 3.38/0.99 inference(avatar_split_clause,[],[f4598,f4588,f4607])). 3.38/0.99 tff(f4598,plain,( 3.38/0.99 ~'fun_app$a'('semantics_ltln$'('w$'),'until_ltln$'('false_ltln$','until_ltln$'('false_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))))) | spl204_63), 3.38/0.99 inference(unit_resulting_resolution,[],[f4590,f3165])). 3.38/0.99 tff(f4605,plain,( 3.38/0.99 ~spl204_64 | spl204_63), 3.38/0.99 inference(avatar_split_clause,[],[f4599,f4588,f4602])). 3.38/0.99 tff(f4599,plain,( 3.38/0.99 ~'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('true_ltln$','until_ltln$'('false_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))))) | spl204_63), 3.38/0.99 inference(unit_resulting_resolution,[],[f4590,f2908])). 3.38/0.99 tff(f4591,plain,( 3.38/0.99 ~spl204_63 | spl204_6), 3.38/0.99 inference(avatar_split_clause,[],[f4568,f4264,f4588])). 3.38/0.99 tff(f4568,plain,( 3.38/0.99 ~'fun_app$a'('semantics_ltln$'('w$'),'until_ltln$'('false_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))) | spl204_6), 3.38/0.99 inference(unit_resulting_resolution,[],[f4266,f3165])). 3.38/0.99 tff(f4266,plain,( 3.38/0.99 ~'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))) | spl204_6), 3.38/0.99 inference(avatar_component_clause,[],[f4264])). 3.38/0.99 tff(f4586,plain,( 3.38/0.99 ~spl204_62 | spl204_57), 3.38/0.99 inference(avatar_split_clause,[],[f4569,f4541,f4583])). 3.38/0.99 tff(f4569,plain,( 3.38/0.99 ~'fun_app$a'('semantics_ltln$'('w$'),'until_ltln$'('false_ltln$','release_ltln$'('true_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))))) | spl204_57), 3.38/0.99 inference(unit_resulting_resolution,[],[f4543,f3165])). 3.38/0.99 tff(f4581,plain,( 3.38/0.99 ~spl204_61 | spl204_2), 3.38/0.99 inference(avatar_split_clause,[],[f4566,f4245,f4578])). 3.38/0.99 tff(f4566,plain,( 3.38/0.99 ~'fun_app$a'('semantics_ltln$'('suffix$'(sK53,'w$')),'until_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))) | spl204_2), 3.38/0.99 inference(unit_resulting_resolution,[],[f4247,f3165])). 3.38/0.99 tff(f4247,plain,( 3.38/0.99 ~'fun_app$a'('semantics_ltln$'('suffix$'(sK53,'w$')),'until_ltln$'('true_ltln$','phi$')) | spl204_2), 3.38/0.99 inference(avatar_component_clause,[],[f4245])). 3.38/0.99 tff(f4576,plain,( 3.38/0.99 ~spl204_60 | spl204_44), 3.38/0.99 inference(avatar_split_clause,[],[f4567,f4436,f4573])). 3.38/0.99 tff(f4573,definition,( 3.38/0.99 spl204_60 <=> 'fun_app$a'('semantics_ltln$'('suffix$'(sK37,'w$')),'until_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_60])],[avatar_definition])). 3.38/0.99 tff(f4567,plain,( 3.38/0.99 ~'fun_app$a'('semantics_ltln$'('suffix$'(sK37,'w$')),'until_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))) | spl204_44), 3.38/0.99 inference(unit_resulting_resolution,[],[f4438,f3165])). 3.38/0.99 tff(f4562,plain,( 3.38/0.99 ~spl204_59 | spl204_57), 3.38/0.99 inference(avatar_split_clause,[],[f4556,f4541,f4559])). 3.38/0.99 tff(f4556,plain,( 3.38/0.99 ~'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('true_ltln$','release_ltln$'('true_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))))) | spl204_57), 3.38/0.99 inference(unit_resulting_resolution,[],[f4543,f2908])). 3.38/0.99 tff(f4549,plain,( 3.38/0.99 ~spl204_58 | spl204_2), 3.38/0.99 inference(avatar_split_clause,[],[f4530,f4245,f4546])). 3.38/0.99 tff(f4530,plain,( 3.38/0.99 ~'fun_app$a'('semantics_ltln$'('suffix$'(sK53,'w$')),'release_ltln$'('true_ltln$','until_ltln$'('true_ltln$','phi$'))) | spl204_2), 3.38/0.99 inference(unit_resulting_resolution,[],[f4247,f2908])). 3.38/0.99 tff(f4544,plain,( 3.38/0.99 ~spl204_57 | spl204_6), 3.38/0.99 inference(avatar_split_clause,[],[f4532,f4264,f4541])). 3.38/0.99 tff(f4532,plain,( 3.38/0.99 ~'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('true_ltln$','release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))) | spl204_6), 3.38/0.99 inference(unit_resulting_resolution,[],[f4266,f2908])). 3.38/0.99 tff(f4539,plain,( 3.38/0.99 ~spl204_56 | spl204_44), 3.38/0.99 inference(avatar_split_clause,[],[f4531,f4436,f4536])). 3.38/0.99 tff(f4536,definition,( 3.38/0.99 spl204_56 <=> 'fun_app$a'('semantics_ltln$'('suffix$'(sK37,'w$')),'release_ltln$'('true_ltln$','until_ltln$'('true_ltln$','phi$')))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_56])],[avatar_definition])). 3.38/0.99 tff(f4531,plain,( 3.38/0.99 ~'fun_app$a'('semantics_ltln$'('suffix$'(sK37,'w$')),'release_ltln$'('true_ltln$','until_ltln$'('true_ltln$','phi$'))) | spl204_44), 3.38/0.99 inference(unit_resulting_resolution,[],[f4438,f2908])). 3.38/0.99 tff(f4500,plain,( 3.38/0.99 ~spl204_7 | ~spl204_46), 3.38/0.99 inference(avatar_contradiction_clause,[],[f4498])). 3.38/0.99 tff(f4498,plain,( 3.38/0.99 $false | (~spl204_7 | ~spl204_46)), 3.38/0.99 inference(resolution,[],[f4446,f4269])). 3.38/0.99 tff(f4499,plain,( 3.38/0.99 ~spl204_7 | ~spl204_46), 3.38/0.99 inference(avatar_contradiction_clause,[],[f4497])). 3.38/0.99 tff(f4497,plain,( 3.38/0.99 $false | (~spl204_7 | ~spl204_46)), 3.38/0.99 inference(unit_resulting_resolution,[],[f4269,f4446])). 3.38/0.99 tff(f4496,plain,( 3.38/0.99 spl204_2 | ~spl204_10), 3.38/0.99 inference(avatar_contradiction_clause,[],[f4494])). 3.38/0.99 tff(f4494,plain,( 3.38/0.99 $false | (spl204_2 | ~spl204_10)), 3.38/0.99 inference(resolution,[],[f4283,f4247])). 3.38/0.99 tff(f4495,plain,( 3.38/0.99 spl204_2 | ~spl204_10), 3.38/0.99 inference(avatar_contradiction_clause,[],[f4493])). 3.38/0.99 tff(f4493,plain,( 3.38/0.99 $false | (spl204_2 | ~spl204_10)), 3.38/0.99 inference(unit_resulting_resolution,[],[f4247,f4283])). 3.38/0.99 tff(f4491,plain,( 3.38/0.99 spl204_55), 3.38/0.99 inference(avatar_split_clause,[],[f3596,f4488])). 3.38/0.99 tff(f4488,definition,( 3.38/0.99 spl204_55 <=> 'ltl_equivalence$'('eq$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_55])],[avatar_definition])). 3.38/0.99 tff(f3596,plain,( 3.38/0.99 'ltl_equivalence$'('eq$')), 3.38/0.99 inference(cnf_transformation,[],[f214])). 3.38/0.99 tff(f214,axiom,( 3.38/0.99 'ltl_equivalence$'('eq$')), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4486,plain,( 3.38/0.99 ~spl204_48 | spl204_54 | spl204_41), 3.38/0.99 inference(avatar_split_clause,[],[f3176,f4421,f4484,f4452])). 3.38/0.99 tff(f4484,definition,( 3.38/0.99 spl204_54 <=> ! [X3 : 'Nat$'] : ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK88,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X3),$uminus('fun_app$g'('of_nat$',sK88))))))),'true_ltln$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_54])],[avatar_definition])). 3.38/0.99 tff(f4421,definition,( 3.38/0.99 spl204_41 <=> ! [X0 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),sK87(X0)))),'true_ltln$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_41])],[avatar_definition])). 3.38/0.99 tff(f3176,plain,( 3.38/0.99 ( ! [X3 : 'Nat$',X0 : 'Nat$'] : (~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK88,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$') | ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK88,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X3),$uminus('fun_app$g'('of_nat$',sK88))))))),'true_ltln$') | 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),sK87(X0)))),'true_ltln$')) )), 3.38/0.99 inference(cnf_transformation,[],[f2200])). 3.38/0.99 tff(f2200,plain,( 3.38/0.99 (! [X0 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),sK87(X0)))),'true_ltln$') | ! [X3 : 'Nat$'] : ((~$less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',sK88)) & ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK88,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X3),$uminus('fun_app$g'('of_nat$',sK88))))))),'true_ltln$')) | (~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK88,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$') & $less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',sK88))))) & (! [X4 : 'Nat$'] : (($less('fun_app$g'('of_nat$',sK89(X4)),'fun_app$g'('of_nat$',X4)) | 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X4,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',sK89(X4)),$uminus('fun_app$g'('of_nat$',X4))))))),'true_ltln$')) & ('fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X4,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$') | ~$less('fun_app$g'('of_nat$',sK89(X4)),'fun_app$g'('of_nat$',X4)))) | ! [X7 : 'Nat$'] : ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK90,'w$'),'nat$'(0)),X7))),'true_ltln$'))), 3.38/0.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK87,sK88,sK89,sK90])],[f2195,f2199,f2198,f2197,f2196])). 3.38/0.99 tff(f2196,plain,( 3.38/0.99 ! [X0 : 'Nat$'] : (? [X1 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),X1))),'true_ltln$') => 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),sK87(X0)))),'true_ltln$'))), 3.38/0.99 introduced(definition,[],[choice_axiom])). 3.38/0.99 tff(f2197,plain,( 3.38/0.99 ? [X2 : 'Nat$'] : ! [X3 : 'Nat$'] : ((~$less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',X2)) & ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X2,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X3),$uminus('fun_app$g'('of_nat$',X2))))))),'true_ltln$')) | (~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X2,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$') & $less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',X2)))) => ! [X3 : 'Nat$'] : ((~$less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',sK88)) & ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK88,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X3),$uminus('fun_app$g'('of_nat$',sK88))))))),'true_ltln$')) | (~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK88,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$') & $less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',sK88))))), 3.38/0.99 introduced(definition,[],[choice_axiom])). 3.38/0.99 tff(f2198,plain,( 3.38/0.99 ! [X4 : 'Nat$'] : (? [X5 : 'Nat$'] : (($less('fun_app$g'('of_nat$',X5),'fun_app$g'('of_nat$',X4)) | 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X4,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X5),$uminus('fun_app$g'('of_nat$',X4))))))),'true_ltln$')) & ('fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X4,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$') | ~$less('fun_app$g'('of_nat$',X5),'fun_app$g'('of_nat$',X4)))) => (($less('fun_app$g'('of_nat$',sK89(X4)),'fun_app$g'('of_nat$',X4)) | 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X4,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',sK89(X4)),$uminus('fun_app$g'('of_nat$',X4))))))),'true_ltln$')) & ('fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X4,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$') | ~$less('fun_app$g'('of_nat$',sK89(X4)),'fun_app$g'('of_nat$',X4)))))), 3.38/0.99 introduced(definition,[],[choice_axiom])). 3.38/0.99 tff(f2199,plain,( 3.38/0.99 ? [X6 : 'Nat$'] : ! [X7 : 'Nat$'] : ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X6,'w$'),'nat$'(0)),X7))),'true_ltln$') => ! [X7 : 'Nat$'] : ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK90,'w$'),'nat$'(0)),X7))),'true_ltln$')), 3.38/0.99 introduced(definition,[],[choice_axiom])). 3.38/0.99 tff(f2195,plain,( 3.38/0.99 (! [X0 : 'Nat$'] : ? [X1 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),X1))),'true_ltln$') | ? [X2 : 'Nat$'] : ! [X3 : 'Nat$'] : ((~$less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',X2)) & ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X2,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X3),$uminus('fun_app$g'('of_nat$',X2))))))),'true_ltln$')) | (~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X2,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$') & $less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',X2))))) & (! [X4 : 'Nat$'] : ? [X5 : 'Nat$'] : (($less('fun_app$g'('of_nat$',X5),'fun_app$g'('of_nat$',X4)) | 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X4,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X5),$uminus('fun_app$g'('of_nat$',X4))))))),'true_ltln$')) & ('fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X4,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$') | ~$less('fun_app$g'('of_nat$',X5),'fun_app$g'('of_nat$',X4)))) | ? [X6 : 'Nat$'] : ! [X7 : 'Nat$'] : ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X6,'w$'),'nat$'(0)),X7))),'true_ltln$'))), 3.38/0.99 inference(rectify,[],[f2194])). 3.38/0.99 tff(f2194,plain,( 3.38/0.99 (! [X2 : 'Nat$'] : ? [X3 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X2,'w$'),'nat$'(0)),X3))),'true_ltln$') | ? [X0 : 'Nat$'] : ! [X1 : 'Nat$'] : ((~$less('fun_app$g'('of_nat$',X1),'fun_app$g'('of_nat$',X0)) & ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X1),$uminus('fun_app$g'('of_nat$',X0))))))),'true_ltln$')) | (~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$') & $less('fun_app$g'('of_nat$',X1),'fun_app$g'('of_nat$',X0))))) & (! [X0 : 'Nat$'] : ? [X1 : 'Nat$'] : (($less('fun_app$g'('of_nat$',X1),'fun_app$g'('of_nat$',X0)) | 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X1),$uminus('fun_app$g'('of_nat$',X0))))))),'true_ltln$')) & ('fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$') | ~$less('fun_app$g'('of_nat$',X1),'fun_app$g'('of_nat$',X0)))) | ? [X2 : 'Nat$'] : ! [X3 : 'Nat$'] : ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X2,'w$'),'nat$'(0)),X3))),'true_ltln$'))), 3.38/0.99 inference(nnf_transformation,[],[f1589])). 3.38/0.99 tff(f1589,plain,( 3.38/0.99 ! [X2 : 'Nat$'] : ? [X3 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X2,'w$'),'nat$'(0)),X3))),'true_ltln$') <=> ! [X0 : 'Nat$'] : ? [X1 : 'Nat$'] : (($less('fun_app$g'('of_nat$',X1),'fun_app$g'('of_nat$',X0)) | 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X1),$uminus('fun_app$g'('of_nat$',X0))))))),'true_ltln$')) & ('fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$') | ~$less('fun_app$g'('of_nat$',X1),'fun_app$g'('of_nat$',X0))))), 3.38/0.99 inference(ennf_transformation,[],[f942])). 3.38/0.99 tff(f942,plain,( 3.38/0.99 ! [X2 : 'Nat$'] : ? [X3 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X2,'w$'),'nat$'(0)),X3))),'true_ltln$') <=> ! [X0 : 'Nat$'] : ? [X1 : 'Nat$'] : (($less('fun_app$g'('of_nat$',X1),'fun_app$g'('of_nat$',X0)) => 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$')) & (~$less('fun_app$g'('of_nat$',X1),'fun_app$g'('of_nat$',X0)) => 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X1),$uminus('fun_app$g'('of_nat$',X0))))))),'true_ltln$')))), 3.38/0.99 inference(rectify,[],[f705])). 3.38/0.99 tff(f705,plain,( 3.38/0.99 ! [X0 : 'Nat$'] : ? [X1 : 'Nat$'] : (($less('fun_app$g'('of_nat$',X1),'fun_app$g'('of_nat$',X0)) => 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$')) & (~$less('fun_app$g'('of_nat$',X1),'fun_app$g'('of_nat$',X0)) => 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X1),$uminus('fun_app$g'('of_nat$',X0))))))),'true_ltln$'))) <=> ! [X0 : 'Nat$'] : ? [X1 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),X1))),'true_ltln$')), 3.38/0.99 inference(theory_normalization,[],[f453])). 3.38/0.99 tff(f453,axiom,( 3.38/0.99 ! [X0 : 'Nat$'] : ? [X1 : 'Nat$'] : ((~$less('fun_app$g'('of_nat$',X1),'fun_app$g'('of_nat$',X0)) => 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),'nat$'($difference('fun_app$g'('of_nat$',X1),'fun_app$g'('of_nat$',X0)))))),'true_ltln$')) & ($less('fun_app$g'('of_nat$',X1),'fun_app$g'('of_nat$',X0)) => 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$'))) <=> ! [X0 : 'Nat$'] : ? [X1 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),X1))),'true_ltln$')), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4482,plain,( 3.38/0.99 spl204_53), 3.38/0.99 inference(avatar_split_clause,[],[f3595,f4479])). 3.38/0.99 tff(f4479,definition,( 3.38/0.99 spl204_53 <=> 'less_eq$'('ltl_const_equiv$','eq$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_53])],[avatar_definition])). 3.38/0.99 tff(f3595,plain,( 3.38/0.99 'less_eq$'('ltl_const_equiv$','eq$')), 3.38/0.99 inference(cnf_transformation,[],[f218])). 3.38/0.99 tff(f218,axiom,( 3.38/0.99 'less_eq$'('ltl_const_equiv$','eq$')), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4476,plain,( 3.38/0.99 spl204_21 | spl204_52), 3.38/0.99 inference(avatar_split_clause,[],[f3774,f4474,f4323])). 3.38/0.99 tff(f3774,plain,( 3.38/0.99 ( ! [X7 : 'Nat$',X4 : 'Nat$'] : ('fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X4,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',sK177(X4)),$uminus('fun_app$g'('of_nat$',X4))))))),'true_ltln$') | ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',sK178),X7))),'true_ltln$') | $less('fun_app$g'('of_nat$',sK177(X4)),'fun_app$g'('of_nat$',X4))) )), 3.38/0.99 inference(cnf_transformation,[],[f2615])). 3.38/0.99 tff(f2615,plain,( 3.38/0.99 (! [X0 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X0),sK175(X0)))),'true_ltln$') | ! [X3 : 'Nat$'] : ((~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK176,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X3),$uminus('fun_app$g'('of_nat$',sK176))))))),'true_ltln$') & ~$less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',sK176))) | ($less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',sK176)) & ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK176,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$')))) & (! [X4 : 'Nat$'] : (('fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X4,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',sK177(X4)),$uminus('fun_app$g'('of_nat$',X4))))))),'true_ltln$') | $less('fun_app$g'('of_nat$',sK177(X4)),'fun_app$g'('of_nat$',X4))) & (~$less('fun_app$g'('of_nat$',sK177(X4)),'fun_app$g'('of_nat$',X4)) | 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X4,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$'))) | ! [X7 : 'Nat$'] : ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',sK178),X7))),'true_ltln$'))), 3.38/0.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK175,sK176,sK177,sK178])],[f2610,f2614,f2613,f2612,f2611])). 3.38/0.99 tff(f2611,plain,( 3.38/0.99 ! [X0 : 'Nat$'] : (? [X1 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X0),X1))),'true_ltln$') => 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X0),sK175(X0)))),'true_ltln$'))), 3.38/0.99 introduced(definition,[],[choice_axiom])). 3.38/0.99 tff(f2612,plain,( 3.38/0.99 ? [X2 : 'Nat$'] : ! [X3 : 'Nat$'] : ((~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X2,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X3),$uminus('fun_app$g'('of_nat$',X2))))))),'true_ltln$') & ~$less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',X2))) | ($less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',X2)) & ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X2,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$'))) => ! [X3 : 'Nat$'] : ((~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK176,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X3),$uminus('fun_app$g'('of_nat$',sK176))))))),'true_ltln$') & ~$less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',sK176))) | ($less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',sK176)) & ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK176,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$')))), 3.38/0.99 introduced(definition,[],[choice_axiom])). 3.38/0.99 tff(f2613,plain,( 3.38/0.99 ! [X4 : 'Nat$'] : (? [X5 : 'Nat$'] : (('fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X4,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X5),$uminus('fun_app$g'('of_nat$',X4))))))),'true_ltln$') | $less('fun_app$g'('of_nat$',X5),'fun_app$g'('of_nat$',X4))) & (~$less('fun_app$g'('of_nat$',X5),'fun_app$g'('of_nat$',X4)) | 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X4,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$'))) => (('fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X4,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',sK177(X4)),$uminus('fun_app$g'('of_nat$',X4))))))),'true_ltln$') | $less('fun_app$g'('of_nat$',sK177(X4)),'fun_app$g'('of_nat$',X4))) & (~$less('fun_app$g'('of_nat$',sK177(X4)),'fun_app$g'('of_nat$',X4)) | 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X4,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$'))))), 3.38/0.99 introduced(definition,[],[choice_axiom])). 3.38/0.99 tff(f2614,plain,( 3.38/0.99 ? [X6 : 'Nat$'] : ! [X7 : 'Nat$'] : ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X6),X7))),'true_ltln$') => ! [X7 : 'Nat$'] : ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',sK178),X7))),'true_ltln$')), 3.38/0.99 introduced(definition,[],[choice_axiom])). 3.38/0.99 tff(f2610,plain,( 3.38/0.99 (! [X0 : 'Nat$'] : ? [X1 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X0),X1))),'true_ltln$') | ? [X2 : 'Nat$'] : ! [X3 : 'Nat$'] : ((~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X2,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X3),$uminus('fun_app$g'('of_nat$',X2))))))),'true_ltln$') & ~$less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',X2))) | ($less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',X2)) & ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X2,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$')))) & (! [X4 : 'Nat$'] : ? [X5 : 'Nat$'] : (('fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X4,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X5),$uminus('fun_app$g'('of_nat$',X4))))))),'true_ltln$') | $less('fun_app$g'('of_nat$',X5),'fun_app$g'('of_nat$',X4))) & (~$less('fun_app$g'('of_nat$',X5),'fun_app$g'('of_nat$',X4)) | 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X4,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$'))) | ? [X6 : 'Nat$'] : ! [X7 : 'Nat$'] : ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X6),X7))),'true_ltln$'))), 3.38/0.99 inference(rectify,[],[f2609])). 3.38/0.99 tff(f2609,plain,( 3.38/0.99 (! [X2 : 'Nat$'] : ? [X3 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X2),X3))),'true_ltln$') | ? [X0 : 'Nat$'] : ! [X1 : 'Nat$'] : ((~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X1),$uminus('fun_app$g'('of_nat$',X0))))))),'true_ltln$') & ~$less('fun_app$g'('of_nat$',X1),'fun_app$g'('of_nat$',X0))) | ($less('fun_app$g'('of_nat$',X1),'fun_app$g'('of_nat$',X0)) & ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$')))) & (! [X0 : 'Nat$'] : ? [X1 : 'Nat$'] : (('fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X1),$uminus('fun_app$g'('of_nat$',X0))))))),'true_ltln$') | $less('fun_app$g'('of_nat$',X1),'fun_app$g'('of_nat$',X0))) & (~$less('fun_app$g'('of_nat$',X1),'fun_app$g'('of_nat$',X0)) | 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$'))) | ? [X2 : 'Nat$'] : ! [X3 : 'Nat$'] : ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X2),X3))),'true_ltln$'))), 3.38/0.99 inference(nnf_transformation,[],[f1702])). 3.38/0.99 tff(f1702,plain,( 3.38/0.99 ! [X2 : 'Nat$'] : ? [X3 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X2),X3))),'true_ltln$') <=> ! [X0 : 'Nat$'] : ? [X1 : 'Nat$'] : (('fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X1),$uminus('fun_app$g'('of_nat$',X0))))))),'true_ltln$') | $less('fun_app$g'('of_nat$',X1),'fun_app$g'('of_nat$',X0))) & (~$less('fun_app$g'('of_nat$',X1),'fun_app$g'('of_nat$',X0)) | 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$')))), 3.38/0.99 inference(ennf_transformation,[],[f1012])). 3.38/0.99 tff(f1012,plain,( 3.38/0.99 ! [X0 : 'Nat$'] : ? [X1 : 'Nat$'] : (($less('fun_app$g'('of_nat$',X1),'fun_app$g'('of_nat$',X0)) => 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$')) & (~$less('fun_app$g'('of_nat$',X1),'fun_app$g'('of_nat$',X0)) => 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X1),$uminus('fun_app$g'('of_nat$',X0))))))),'true_ltln$'))) <=> ! [X2 : 'Nat$'] : ? [X3 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X2),X3))),'true_ltln$')), 3.38/0.99 inference(rectify,[],[f735])). 3.38/0.99 tff(f735,plain,( 3.38/0.99 ! [X0 : 'Nat$'] : ? [X1 : 'Nat$'] : (($less('fun_app$g'('of_nat$',X1),'fun_app$g'('of_nat$',X0)) => 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$')) & (~$less('fun_app$g'('of_nat$',X1),'fun_app$g'('of_nat$',X0)) => 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X1),$uminus('fun_app$g'('of_nat$',X0))))))),'true_ltln$'))) <=> ! [X0 : 'Nat$'] : ? [X1 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X0),X1))),'true_ltln$')), 3.38/0.99 inference(theory_normalization,[],[f236])). 3.38/0.99 tff(f236,axiom,( 3.38/0.99 ! [X0 : 'Nat$'] : ? [X1 : 'Nat$'] : ((~$less('fun_app$g'('of_nat$',X1),'fun_app$g'('of_nat$',X0)) => 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),'nat$'($difference('fun_app$g'('of_nat$',X1),'fun_app$g'('of_nat$',X0)))))),'true_ltln$')) & ($less('fun_app$g'('of_nat$',X1),'fun_app$g'('of_nat$',X0)) => 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$'))) <=> ! [X0 : 'Nat$'] : ? [X1 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X0),X1))),'true_ltln$')), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4471,plain,( 3.38/0.99 spl204_51), 3.38/0.99 inference(avatar_split_clause,[],[f3688,f4468])). 3.38/0.99 tff(f4468,definition,( 3.38/0.99 spl204_51 <=> 'less_eq$'('ltl_const_equiv$','ltl_lang_equiv$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_51])],[avatar_definition])). 3.38/0.99 tff(f3688,plain,( 3.38/0.99 'less_eq$'('ltl_const_equiv$','ltl_lang_equiv$')), 3.38/0.99 inference(cnf_transformation,[],[f195])). 3.38/0.99 tff(f195,axiom,( 3.38/0.99 'less_eq$'('ltl_const_equiv$','ltl_lang_equiv$')), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4466,plain,( 3.38/0.99 spl204_50), 3.38/0.99 inference(avatar_split_clause,[],[f3894,f4463])). 3.38/0.99 tff(f4463,definition,( 3.38/0.99 spl204_50 <=> 'equivp$'('ltl_prop_equiv$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_50])],[avatar_definition])). 3.38/0.99 tff(f3894,plain,( 3.38/0.99 'equivp$'('ltl_prop_equiv$')), 3.38/0.99 inference(cnf_transformation,[],[f113])). 3.38/0.99 tff(f113,axiom,( 3.38/0.99 'equivp$'('ltl_prop_equiv$')), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4460,plain,( 3.38/0.99 spl204_49), 3.38/0.99 inference(avatar_split_clause,[],[f3428,f4457])). 3.38/0.99 tff(f4457,definition,( 3.38/0.99 spl204_49 <=> 'less_eq$'('ltl_prop_equiv$','ltl_lang_equiv$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_49])],[avatar_definition])). 3.38/0.99 tff(f3428,plain,( 3.38/0.99 'less_eq$'('ltl_prop_equiv$','ltl_lang_equiv$')), 3.38/0.99 inference(cnf_transformation,[],[f412])). 3.38/0.99 tff(f412,axiom,( 3.38/0.99 'less_eq$'('ltl_prop_equiv$','ltl_lang_equiv$')), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4455,plain,( 3.38/0.99 spl204_41 | spl204_47 | ~spl204_48), 3.38/0.99 inference(avatar_split_clause,[],[f3178,f4452,f4449,f4421])). 3.38/0.99 tff(f4449,definition,( 3.38/0.99 spl204_47 <=> ! [X3 : 'Nat$'] : ~$less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',sK88))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_47])],[avatar_definition])). 3.38/0.99 tff(f3178,plain,( 3.38/0.99 ( ! [X3 : 'Nat$',X0 : 'Nat$'] : (~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK88,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$') | ~$less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',sK88)) | 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),sK87(X0)))),'true_ltln$')) )), 3.38/0.99 inference(cnf_transformation,[],[f2200])). 3.38/0.99 tff(f4447,plain,( 3.38/0.99 spl204_6 | spl204_46), 3.38/0.99 inference(avatar_split_clause,[],[f3784,f4445,f4264])). 3.38/0.99 tff(f3784,plain,( 3.38/0.99 ( ! [X2 : 'Nat$'] : ('fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X2),sK180(X2)))),'true_ltln$') | 'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))) )), 3.38/0.99 inference(cnf_transformation,[],[f2623])). 3.38/0.99 tff(f2623,plain,( 3.38/0.99 (! [X1 : 'Nat$'] : ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',sK179),X1))),'true_ltln$') | ~'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))) & (! [X2 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X2),sK180(X2)))),'true_ltln$') | 'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))))), 3.38/0.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK179,sK180])],[f2620,f2622,f2621])). 3.38/0.99 tff(f2621,plain,( 3.38/0.99 ? [X0 : 'Nat$'] : ! [X1 : 'Nat$'] : ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X0),X1))),'true_ltln$') => ! [X1 : 'Nat$'] : ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',sK179),X1))),'true_ltln$')), 3.38/0.99 introduced(definition,[],[choice_axiom])). 3.38/0.99 tff(f2622,plain,( 3.38/0.99 ! [X2 : 'Nat$'] : (? [X3 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X2),X3))),'true_ltln$') => 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X2),sK180(X2)))),'true_ltln$'))), 3.38/0.99 introduced(definition,[],[choice_axiom])). 3.38/0.99 tff(f2620,plain,( 3.38/0.99 (? [X0 : 'Nat$'] : ! [X1 : 'Nat$'] : ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X0),X1))),'true_ltln$') | ~'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))) & (! [X2 : 'Nat$'] : ? [X3 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X2),X3))),'true_ltln$') | 'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))))), 3.38/0.99 inference(rectify,[],[f2619])). 3.38/0.99 tff(f2619,plain,( 3.38/0.99 (? [X0 : 'Nat$'] : ! [X1 : 'Nat$'] : ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X0),X1))),'true_ltln$') | ~'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))) & (! [X0 : 'Nat$'] : ? [X1 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X0),X1))),'true_ltln$') | 'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))))), 3.38/0.99 inference(nnf_transformation,[],[f1397])). 3.38/0.99 tff(f1397,plain,( 3.38/0.99 'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))) <~> ! [X0 : 'Nat$'] : ? [X1 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X0),X1))),'true_ltln$')), 3.38/0.99 inference(ennf_transformation,[],[f639])). 3.38/0.99 tff(f639,negated_conjecture,( 3.38/0.99 ~('fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))) <=> ! [X0 : 'Nat$'] : ? [X1 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X0),X1))),'true_ltln$'))), 3.38/0.99 inference(negated_conjecture,[status(cth)],[f638])). 3.38/0.99 tff(f638,conjecture,( 3.38/0.99 'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))) <=> ! [X0 : 'Nat$'] : ? [X1 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X0),X1))),'true_ltln$')), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4443,plain,( 3.38/0.99 spl204_28 | spl204_45 | ~spl204_29), 3.38/0.99 inference(avatar_split_clause,[],[f3775,f4359,f4441,f4356])). 3.38/0.99 tff(f3775,plain,( 3.38/0.99 ( ! [X3 : 'Nat$',X0 : 'Nat$'] : (~$less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',sK176)) | 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X0),sK175(X0)))),'true_ltln$') | ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK176,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$')) )), 3.38/0.99 inference(cnf_transformation,[],[f2615])). 3.38/0.99 tff(f4439,plain,( 3.38/0.99 spl204_6 | ~spl204_44), 3.38/0.99 inference(avatar_split_clause,[],[f2838,f4436,f4264])). 3.38/0.99 tff(f2838,plain,( 3.38/0.99 ~'fun_app$a'('semantics_ltln$'('suffix$'(sK37,'w$')),'until_ltln$'('true_ltln$','phi$')) | 'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))), 3.38/0.99 inference(cnf_transformation,[],[f1920])). 3.38/0.99 tff(f1920,plain,( 3.38/0.99 ('fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))) | ~'fun_app$a'('semantics_ltln$'('suffix$'(sK37,'w$')),'until_ltln$'('true_ltln$','phi$'))) & (! [X1 : 'Nat$'] : 'fun_app$a'('semantics_ltln$'('suffix$'(X1,'w$')),'until_ltln$'('true_ltln$','phi$')) | ~'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))))), 3.38/0.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK37])],[f1918,f1919])). 3.38/0.99 tff(f1919,plain,( 3.38/0.99 ? [X0 : 'Nat$'] : ~'fun_app$a'('semantics_ltln$'('suffix$'(X0,'w$')),'until_ltln$'('true_ltln$','phi$')) => ~'fun_app$a'('semantics_ltln$'('suffix$'(sK37,'w$')),'until_ltln$'('true_ltln$','phi$'))), 3.38/0.99 introduced(definition,[],[choice_axiom])). 3.38/0.99 tff(f1918,plain,( 3.38/0.99 ('fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))) | ? [X0 : 'Nat$'] : ~'fun_app$a'('semantics_ltln$'('suffix$'(X0,'w$')),'until_ltln$'('true_ltln$','phi$'))) & (! [X1 : 'Nat$'] : 'fun_app$a'('semantics_ltln$'('suffix$'(X1,'w$')),'until_ltln$'('true_ltln$','phi$')) | ~'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))))), 3.38/0.99 inference(rectify,[],[f1917])). 3.38/0.99 tff(f1917,plain,( 3.38/0.99 ('fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))) | ? [X0 : 'Nat$'] : ~'fun_app$a'('semantics_ltln$'('suffix$'(X0,'w$')),'until_ltln$'('true_ltln$','phi$'))) & (! [X0 : 'Nat$'] : 'fun_app$a'('semantics_ltln$'('suffix$'(X0,'w$')),'until_ltln$'('true_ltln$','phi$')) | ~'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))))), 3.38/0.99 inference(nnf_transformation,[],[f616])). 3.38/0.99 tff(f616,axiom,( 3.38/0.99 'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))) <=> ! [X0 : 'Nat$'] : 'fun_app$a'('semantics_ltln$'('suffix$'(X0,'w$')),'until_ltln$'('true_ltln$','phi$'))), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4434,plain,( 3.38/0.99 spl204_43), 3.38/0.99 inference(avatar_split_clause,[],[f3353,f4431])). 3.38/0.99 tff(f4431,definition,( 3.38/0.99 spl204_43 <=> 'af_congruent$'('ltl_lang_equiv$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_43])],[avatar_definition])). 3.38/0.99 tff(f3353,plain,( 3.38/0.99 'af_congruent$'('ltl_lang_equiv$')), 3.38/0.99 inference(cnf_transformation,[],[f263])). 3.38/0.99 tff(f263,axiom,( 3.38/0.99 'af_congruent$'('ltl_lang_equiv$')), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4428,plain,( 3.38/0.99 spl204_42), 3.38/0.99 inference(avatar_split_clause,[],[f3612,f4425])). 3.38/0.99 tff(f3612,plain,( 3.38/0.99 'member$'('until_ltln$'('true_ltln$','phi$'),'mu_LTL$')), 3.38/0.99 inference(cnf_transformation,[],[f595])). 3.38/0.99 tff(f595,axiom,( 3.38/0.99 'member$'('until_ltln$'('true_ltln$','phi$'),'mu_LTL$')), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4423,plain,( 3.38/0.99 spl204_40 | spl204_41), 3.38/0.99 inference(avatar_split_clause,[],[f3175,f4421,f4418])). 3.38/0.99 tff(f3175,plain,( 3.38/0.99 ( ! [X3 : 'Nat$',X0 : 'Nat$'] : (~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK88,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X3),$uminus('fun_app$g'('of_nat$',sK88))))))),'true_ltln$') | $less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',sK88)) | 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),sK87(X0)))),'true_ltln$')) )), 3.38/0.99 inference(cnf_transformation,[],[f2200])). 3.38/0.99 tff(f4416,plain,( 3.38/0.99 spl204_22), 3.38/0.99 inference(avatar_split_clause,[],[f3021,f4327])). 3.38/0.99 tff(f4327,definition,( 3.38/0.99 spl204_22 <=> ! [X1 : 'A_set_list$'] : 'true_ltln$' = 'fun_app$c'('foldl$'('af_letter$','true_ltln$'),X1)), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_22])],[avatar_definition])). 3.38/0.99 tff(f3021,plain,( 3.38/0.99 ( ! [X0 : 'A_set_list$'] : ('true_ltln$' = 'fun_app$c'('foldl$'('af_letter$','true_ltln$'),X0)) )), 3.38/0.99 inference(cnf_transformation,[],[f10])). 3.38/0.99 tff(f10,axiom,( 3.38/0.99 ! [X0 : 'A_set_list$'] : 'true_ltln$' = 'fun_app$c'('foldl$'('af_letter$','true_ltln$'),X0)), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4415,plain,( 3.38/0.99 spl204_39), 3.38/0.99 inference(avatar_split_clause,[],[f3297,f4412])). 3.38/0.99 tff(f4412,definition,( 3.38/0.99 spl204_39 <=> 'ltl_equivalence$'('ltl_const_equiv$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_39])],[avatar_definition])). 3.38/0.99 tff(f3297,plain,( 3.38/0.99 'ltl_equivalence$'('ltl_const_equiv$')), 3.38/0.99 inference(cnf_transformation,[],[f644])). 3.38/0.99 tff(f644,axiom,( 3.38/0.99 'ltl_equivalence$'('ltl_const_equiv$')), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4410,plain,( 3.38/0.99 spl204_18), 3.38/0.99 inference(avatar_split_clause,[],[f2995,f4313])). 3.38/0.99 tff(f4313,definition,( 3.38/0.99 spl204_18 <=> ! [X2 : 'Nat_a_set_fun$',X1 : 'Nat$',X3 : 'Nat$'] : ($less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',X1)) | 'fun_app$d'('subsequence$'(X2,'nat$'(0)),X3) = 'append$'('fun_app$d'('subsequence$'(X2,'nat$'(0)),X1),'fun_app$d'('subsequence$'(X2,X1),X3)))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_18])],[avatar_definition])). 3.38/0.99 tff(f2995,plain,( 3.38/0.99 ( ! [X2 : 'Nat$',X0 : 'Nat$',X1 : 'Nat_a_set_fun$'] : ('append$'('fun_app$d'('subsequence$'(X1,'nat$'(0)),X2),'fun_app$d'('subsequence$'(X1,X2),X0)) = 'fun_app$d'('subsequence$'(X1,'nat$'(0)),X0) | $less('fun_app$g'('of_nat$',X0),'fun_app$g'('of_nat$',X2))) )), 3.38/0.99 inference(cnf_transformation,[],[f2049])). 3.38/0.99 tff(f2049,plain,( 3.38/0.99 ! [X0 : 'Nat$',X1 : 'Nat_a_set_fun$',X2 : 'Nat$'] : ('append$'('fun_app$d'('subsequence$'(X1,'nat$'(0)),X2),'fun_app$d'('subsequence$'(X1,X2),X0)) = 'fun_app$d'('subsequence$'(X1,'nat$'(0)),X0) | $less('fun_app$g'('of_nat$',X0),'fun_app$g'('of_nat$',X2)))), 3.38/0.99 inference(rectify,[],[f1442])). 3.38/0.99 tff(f1442,plain,( 3.38/0.99 ! [X0 : 'Nat$',X2 : 'Nat_a_set_fun$',X1 : 'Nat$'] : ('fun_app$d'('subsequence$'(X2,'nat$'(0)),X0) = 'append$'('fun_app$d'('subsequence$'(X2,'nat$'(0)),X1),'fun_app$d'('subsequence$'(X2,X1),X0)) | $less('fun_app$g'('of_nat$',X0),'fun_app$g'('of_nat$',X1)))), 3.38/0.99 inference(ennf_transformation,[],[f873])). 3.38/0.99 tff(f873,plain,( 3.38/0.99 ! [X1 : 'Nat$',X0 : 'Nat$',X2 : 'Nat_a_set_fun$'] : (~$less('fun_app$g'('of_nat$',X0),'fun_app$g'('of_nat$',X1)) => 'fun_app$d'('subsequence$'(X2,'nat$'(0)),X0) = 'append$'('fun_app$d'('subsequence$'(X2,'nat$'(0)),X1),'fun_app$d'('subsequence$'(X2,X1),X0)))), 3.38/0.99 inference(rectify,[],[f676])). 3.38/0.99 tff(f676,plain,( 3.38/0.99 ! [X1 : 'Nat$',X0 : 'Nat$',X2 : 'Nat_a_set_fun$'] : (~$less('fun_app$g'('of_nat$',X1),'fun_app$g'('of_nat$',X0)) => 'append$'('fun_app$d'('subsequence$'(X2,'nat$'(0)),X0),'fun_app$d'('subsequence$'(X2,X0),X1)) = 'fun_app$d'('subsequence$'(X2,'nat$'(0)),X1))), 3.38/0.99 inference(theory_normalization,[],[f290])). 3.38/0.99 tff(f290,axiom,( 3.38/0.99 ! [X1 : 'Nat$',X0 : 'Nat$',X2 : 'Nat_a_set_fun$'] : ($lesseq('fun_app$g'('of_nat$',X0),'fun_app$g'('of_nat$',X1)) => 'append$'('fun_app$d'('subsequence$'(X2,'nat$'(0)),X0),'fun_app$d'('subsequence$'(X2,X0),X1)) = 'fun_app$d'('subsequence$'(X2,'nat$'(0)),X1))), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4409,plain,( 3.38/0.99 spl204_38), 3.38/0.99 inference(avatar_split_clause,[],[f3757,f4406])). 3.38/0.99 tff(f4406,definition,( 3.38/0.99 spl204_38 <=> 'less_eq$'('ltl_const_equiv$','ltl_prop_equiv$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_38])],[avatar_definition])). 3.38/0.99 tff(f3757,plain,( 3.38/0.99 'less_eq$'('ltl_const_equiv$','ltl_prop_equiv$')), 3.38/0.99 inference(cnf_transformation,[],[f176])). 3.38/0.99 tff(f176,axiom,( 3.38/0.99 'less_eq$'('ltl_const_equiv$','ltl_prop_equiv$')), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4404,plain,( 3.38/0.99 spl204_37 | spl204_28), 3.38/0.99 inference(avatar_split_clause,[],[f3778,f4356,f4402])). 3.38/0.99 tff(f3778,plain,( 3.38/0.99 ( ! [X3 : 'Nat$',X0 : 'Nat$'] : ($less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',sK176)) | ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK176,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X3),$uminus('fun_app$g'('of_nat$',sK176))))))),'true_ltln$') | 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X0),sK175(X0)))),'true_ltln$')) )), 3.38/0.99 inference(cnf_transformation,[],[f2615])). 3.38/0.99 tff(f4399,plain,( 3.38/0.99 spl204_36), 3.38/0.99 inference(avatar_split_clause,[],[f3380,f4396])). 3.38/0.99 tff(f4396,definition,( 3.38/0.99 spl204_36 <=> 'af_congruent$'('ltl_prop_equiv$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_36])],[avatar_definition])). 3.38/0.99 tff(f3380,plain,( 3.38/0.99 'af_congruent$'('ltl_prop_equiv$')), 3.38/0.99 inference(cnf_transformation,[],[f158])). 3.38/0.99 tff(f158,axiom,( 3.38/0.99 'af_congruent$'('ltl_prop_equiv$')), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4394,plain,( 3.38/0.99 ~spl204_6 | spl204_10), 3.38/0.99 inference(avatar_split_clause,[],[f2837,f4282,f4264])). 3.38/0.99 tff(f2837,plain,( 3.38/0.99 ( ! [X1 : 'Nat$'] : ('fun_app$a'('semantics_ltln$'('suffix$'(X1,'w$')),'until_ltln$'('true_ltln$','phi$')) | ~'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$')))) )), 3.38/0.99 inference(cnf_transformation,[],[f1920])). 3.38/0.99 tff(f4393,plain,( 3.38/0.99 spl204_35), 3.38/0.99 inference(avatar_split_clause,[],[f4178,f4390])). 3.38/0.99 tff(f4390,definition,( 3.38/0.99 spl204_35 <=> 1 = 'fun_app$g'('of_nat$','size$a'('false_ltln$'))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_35])],[avatar_definition])). 3.38/0.99 tff(f4178,plain,( 3.38/0.99 1 = 'fun_app$g'('of_nat$','size$a'('false_ltln$'))), 3.38/0.99 inference(evaluation,[],[f2798])). 3.38/0.99 tff(f2798,plain,( 3.38/0.99 $sum(0,1) = 'fun_app$g'('of_nat$','size$a'('false_ltln$'))), 3.38/0.99 inference(cnf_transformation,[],[f67])). 3.38/0.99 tff(f67,axiom,( 3.38/0.99 $sum(0,1) = 'fun_app$g'('of_nat$','size$a'('false_ltln$'))), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4388,plain,( 3.38/0.99 spl204_34), 3.38/0.99 inference(avatar_split_clause,[],[f3285,f4385])). 3.38/0.99 tff(f4385,definition,( 3.38/0.99 spl204_34 <=> 'equivp$'('eq$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_34])],[avatar_definition])). 3.38/0.99 tff(f3285,plain,( 3.38/0.99 'equivp$'('eq$')), 3.38/0.99 inference(cnf_transformation,[],[f481])). 3.38/0.99 tff(f481,axiom,( 3.38/0.99 'equivp$'('eq$')), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4383,plain,( 3.38/0.99 spl204_33), 3.38/0.99 inference(avatar_split_clause,[],[f3575,f4380])). 3.38/0.99 tff(f4380,definition,( 3.38/0.99 spl204_33 <=> 1 = 'fun_app$'('dbl_inc$',0)), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_33])],[avatar_definition])). 3.38/0.99 tff(f3575,plain,( 3.38/0.99 1 = 'fun_app$'('dbl_inc$',0)), 3.38/0.99 inference(cnf_transformation,[],[f299])). 3.38/0.99 tff(f299,axiom,( 3.38/0.99 1 = 'fun_app$'('dbl_inc$',0)), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4377,plain,( 3.38/0.99 spl204_32), 3.38/0.99 inference(avatar_split_clause,[],[f3504,f4374])). 3.38/0.99 tff(f4374,definition,( 3.38/0.99 spl204_32 <=> 'member$'('phi$','mu_LTL$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_32])],[avatar_definition])). 3.38/0.99 tff(f3504,plain,( 3.38/0.99 'member$'('phi$','mu_LTL$')), 3.38/0.99 inference(cnf_transformation,[],[f172])). 3.38/0.99 tff(f172,axiom,( 3.38/0.99 'member$'('phi$','mu_LTL$')), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4370,plain,( 3.38/0.99 spl204_31), 3.38/0.99 inference(avatar_split_clause,[],[f3559,f4367])). 3.38/0.99 tff(f4367,definition,( 3.38/0.99 spl204_31 <=> 'size$' = 'gen_length$'('nat$'(0))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_31])],[avatar_definition])). 3.38/0.99 tff(f3559,plain,( 3.38/0.99 'size$' = 'gen_length$'('nat$'(0))), 3.38/0.99 inference(cnf_transformation,[],[f634])). 3.38/0.99 tff(f634,axiom,( 3.38/0.99 'size$' = 'gen_length$'('nat$'(0))), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4365,plain,( 3.38/0.99 spl204_28 | ~spl204_29 | spl204_30), 3.38/0.99 inference(avatar_split_clause,[],[f3777,f4363,f4359,f4356])). 3.38/0.99 tff(f3777,plain,( 3.38/0.99 ( ! [X3 : 'Nat$',X0 : 'Nat$'] : (~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK176,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$') | 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',X0),sK175(X0)))),'true_ltln$') | ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK176,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',X3),$uminus('fun_app$g'('of_nat$',sK176))))))),'true_ltln$')) )), 3.38/0.99 inference(cnf_transformation,[],[f2615])). 3.38/0.99 tff(f4354,plain,( 3.38/0.99 spl204_13), 3.38/0.99 inference(avatar_split_clause,[],[f4169,f4294])). 3.38/0.99 tff(f4294,definition,( 3.38/0.99 spl204_13 <=> ! [X0 : 'Nat_a_set_fun$'] : 'fun_app$a'('semantics_ltln$'(X0),'true_ltln$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_13])],[avatar_definition])). 3.38/0.99 tff(f4169,plain,( 3.38/0.99 ( ! [X0 : 'Nat_a_set_fun$'] : ('fun_app$a'('semantics_ltln$'(X0),'true_ltln$')) )), 3.38/0.99 inference(trivial_inequality_removal,[],[f3986])). 3.38/0.99 tff(f3986,plain,( 3.38/0.99 ( ! [X0 : 'Nat_a_set_fun$'] : (tltrue != tltrue | 'fun_app$a'('semantics_ltln$'(X0),'true_ltln$')) )), 3.38/0.99 inference(equality_resolution,[],[f2980])). 3.38/0.99 tff(f2980,plain,( 3.38/0.99 ( ! [X0 : 'Nat_a_set_fun$',X1 : tlbool] : (tltrue != X1 | 'fun_app$a'('semantics_ltln$'(X0),'true_ltln$') | tltrue != X1) )), 3.38/0.99 inference(cnf_transformation,[],[f2038])). 3.38/0.99 tff(f2038,plain,( 3.38/0.99 ! [X0 : 'Nat_a_set_fun$',X1 : tlbool] : (((('fun_app$a'('semantics_ltln$'(X0),'false_ltln$') | tltrue = X1) & (tltrue != X1 | 'fun_app$a'('semantics_ltln$'(X0),'true_ltln$'))) | tltrue != X1) & (tltrue = X1 | (~'fun_app$a'('semantics_ltln$'(X0),'false_ltln$') & tltrue != X1) | (tltrue = X1 & ~'fun_app$a'('semantics_ltln$'(X0),'true_ltln$'))))), 3.38/0.99 inference(flattening,[],[f2037])). 3.38/0.99 tff(f2037,plain,( 3.38/0.99 ! [X0 : 'Nat_a_set_fun$',X1 : tlbool] : (((('fun_app$a'('semantics_ltln$'(X0),'false_ltln$') | tltrue = X1) & (tltrue != X1 | 'fun_app$a'('semantics_ltln$'(X0),'true_ltln$'))) | tltrue != X1) & (tltrue = X1 | ((~'fun_app$a'('semantics_ltln$'(X0),'false_ltln$') & tltrue != X1) | (tltrue = X1 & ~'fun_app$a'('semantics_ltln$'(X0),'true_ltln$')))))), 3.38/0.99 inference(nnf_transformation,[],[f1698])). 3.38/0.99 tff(f1698,plain,( 3.38/0.99 ! [X0 : 'Nat_a_set_fun$',X1 : tlbool] : ((('fun_app$a'('semantics_ltln$'(X0),'false_ltln$') | tltrue = X1) & (tltrue != X1 | 'fun_app$a'('semantics_ltln$'(X0),'true_ltln$'))) <=> tltrue = X1)), 3.38/0.99 inference(ennf_transformation,[],[f335])). 3.38/0.99 tff(f335,axiom,( 3.38/0.99 ! [X1 : tlbool,X0 : 'Nat_a_set_fun$'] : (((tltrue = X1 => 'fun_app$a'('semantics_ltln$'(X0),'true_ltln$')) & (tltrue != X1 => 'fun_app$a'('semantics_ltln$'(X0),'false_ltln$'))) <=> tltrue = X1)), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4353,plain,( 3.38/0.99 spl204_27), 3.38/0.99 inference(avatar_split_clause,[],[f4037,f4350])). 3.38/0.99 tff(f4350,definition,( 3.38/0.99 spl204_27 <=> 'fun_app$i'('fun_app$j'('less_eq$a',tltrue),tltrue)), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_27])],[avatar_definition])). 3.38/0.99 tff(f4037,plain,( 3.38/0.99 'fun_app$i'('fun_app$j'('less_eq$a',tltrue),tltrue)), 3.38/0.99 inference(equality_resolution,[],[f4036])). 3.38/0.99 tff(f4036,plain,( 3.38/0.99 ( ! [X0 : tlbool] : ('fun_app$i'('fun_app$j'('less_eq$a',tltrue),X0) | tltrue != X0) )), 3.38/0.99 inference(equality_resolution,[],[f3269])). 3.38/0.99 tff(f3269,plain,( 3.38/0.99 ( ! [X0 : tlbool,X1 : tlbool] : ('fun_app$i'('fun_app$j'('less_eq$a',X1),X0) | tltrue != X1 | tltrue != X0) )), 3.38/0.99 inference(cnf_transformation,[],[f2274])). 3.38/0.99 tff(f2274,plain,( 3.38/0.99 ! [X0 : tlbool,X1 : tlbool] : ((('fun_app$i'('fun_app$j'('less_eq$a',X1),X0) & 'fun_app$i'('fun_app$j'('less_eq$a',X0),X1)) | ((tltrue != X1 | tltrue != X0) & (tltrue = X1 | tltrue = X0))) & (((tltrue = X0 | tltrue != X1) & (tltrue = X1 | tltrue != X0)) | ~'fun_app$i'('fun_app$j'('less_eq$a',X1),X0) | ~'fun_app$i'('fun_app$j'('less_eq$a',X0),X1)))), 3.38/0.99 inference(rectify,[],[f2273])). 3.38/0.99 tff(f2273,plain,( 3.38/0.99 ! [X1 : tlbool,X0 : tlbool] : ((('fun_app$i'('fun_app$j'('less_eq$a',X0),X1) & 'fun_app$i'('fun_app$j'('less_eq$a',X1),X0)) | ((tltrue != X0 | tltrue != X1) & (tltrue = X0 | tltrue = X1))) & (((tltrue = X1 | tltrue != X0) & (tltrue = X0 | tltrue != X1)) | ~'fun_app$i'('fun_app$j'('less_eq$a',X0),X1) | ~'fun_app$i'('fun_app$j'('less_eq$a',X1),X0)))), 3.38/0.99 inference(flattening,[],[f2272])). 3.38/0.99 tff(f2272,plain,( 3.38/0.99 ! [X1 : tlbool,X0 : tlbool] : ((('fun_app$i'('fun_app$j'('less_eq$a',X0),X1) & 'fun_app$i'('fun_app$j'('less_eq$a',X1),X0)) | ((tltrue != X0 | tltrue != X1) & (tltrue = X0 | tltrue = X1))) & (((tltrue = X1 | tltrue != X0) & (tltrue = X0 | tltrue != X1)) | (~'fun_app$i'('fun_app$j'('less_eq$a',X0),X1) | ~'fun_app$i'('fun_app$j'('less_eq$a',X1),X0))))), 3.38/0.99 inference(nnf_transformation,[],[f201])). 3.38/0.99 tff(f201,axiom,( 3.38/0.99 ! [X1 : tlbool,X0 : tlbool] : (('fun_app$i'('fun_app$j'('less_eq$a',X0),X1) & 'fun_app$i'('fun_app$j'('less_eq$a',X1),X0)) <=> (tltrue = X1 <=> tltrue = X0))), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4348,plain,( 3.38/0.99 spl204_15 | spl204_26), 3.38/0.99 inference(avatar_split_clause,[],[f3174,f4346,f4301])). 3.38/0.99 tff(f3174,plain,( 3.38/0.99 ( ! [X7 : 'Nat$',X4 : 'Nat$'] : ('fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X4,'w$'),'nat$'(0)),'nat$'($sum('fun_app$g'('of_nat$',sK89(X4)),$uminus('fun_app$g'('of_nat$',X4))))))),'true_ltln$') | $less('fun_app$g'('of_nat$',sK89(X4)),'fun_app$g'('of_nat$',X4)) | ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK90,'w$'),'nat$'(0)),X7))),'true_ltln$')) )), 3.38/0.99 inference(cnf_transformation,[],[f2200])). 3.38/0.99 tff(f4344,plain,( 3.38/0.99 spl204_25), 3.38/0.99 inference(avatar_split_clause,[],[f3377,f4341])). 3.38/0.99 tff(f4341,definition,( 3.38/0.99 spl204_25 <=> 'ltl_equivalence$'('ltl_prop_equiv$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_25])],[avatar_definition])). 3.38/0.99 tff(f3377,plain,( 3.38/0.99 'ltl_equivalence$'('ltl_prop_equiv$')), 3.38/0.99 inference(cnf_transformation,[],[f601])). 3.38/0.99 tff(f601,axiom,( 3.38/0.99 'ltl_equivalence$'('ltl_prop_equiv$')), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4339,plain,( 3.38/0.99 spl204_24), 3.38/0.99 inference(avatar_split_clause,[],[f3890,f4336])). 3.38/0.99 tff(f4336,definition,( 3.38/0.99 spl204_24 <=> 'less_eq$'('eq$','ltl_lang_equiv$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_24])],[avatar_definition])). 3.38/0.99 tff(f3890,plain,( 3.38/0.99 'less_eq$'('eq$','ltl_lang_equiv$')), 3.38/0.99 inference(cnf_transformation,[],[f544])). 3.38/0.99 tff(f544,axiom,( 3.38/0.99 'less_eq$'('eq$','ltl_lang_equiv$')), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4334,plain,( 3.38/0.99 spl204_23), 3.38/0.99 inference(avatar_split_clause,[],[f3537,f4331])). 3.38/0.99 tff(f4331,definition,( 3.38/0.99 spl204_23 <=> 'ltl_equivalence$'('ltl_lang_equiv$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_23])],[avatar_definition])). 3.38/0.99 tff(f3537,plain,( 3.38/0.99 'ltl_equivalence$'('ltl_lang_equiv$')), 3.38/0.99 inference(cnf_transformation,[],[f497])). 3.38/0.99 tff(f497,axiom,( 3.38/0.99 'ltl_equivalence$'('ltl_lang_equiv$')), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4329,plain,( 3.38/0.99 spl204_22 | spl204_14), 3.38/0.99 inference(avatar_split_clause,[],[f4161,f4297,f4327])). 3.38/0.99 tff(f4297,definition,( 3.38/0.99 spl204_14 <=> ! [X1 : tlbool] : tltrue = X1), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_14])],[avatar_definition])). 3.38/0.99 tff(f4161,plain,( 3.38/0.99 ( ! [X0 : tlbool,X1 : 'A_set_list$'] : (tltrue = X0 | 'true_ltln$' = 'fun_app$c'('foldl$'('af_letter$','true_ltln$'),X1)) )), 3.38/0.99 inference(duplicate_literal_removal,[],[f3653])). 3.38/0.99 tff(f3653,plain,( 3.38/0.99 ( ! [X0 : tlbool,X1 : 'A_set_list$'] : (tltrue = X0 | tltrue = X0 | 'true_ltln$' = 'fun_app$c'('foldl$'('af_letter$','true_ltln$'),X1)) )), 3.38/0.99 inference(cnf_transformation,[],[f2548])). 3.38/0.99 tff(f2548,plain,( 3.38/0.99 ! [X0 : tlbool,X1 : 'A_set_list$'] : ((tltrue != X0 | ((tltrue != X0 | 'false_ltln$' = 'fun_app$c'('foldl$'('af_letter$','false_ltln$'),X1)) & ('true_ltln$' = 'fun_app$c'('foldl$'('af_letter$','false_ltln$'),X1) | tltrue = X0))) & (tltrue = X0 | ((tltrue != X0 | 'false_ltln$' = 'fun_app$c'('foldl$'('af_letter$','true_ltln$'),X1)) & ('true_ltln$' = 'fun_app$c'('foldl$'('af_letter$','true_ltln$'),X1) | tltrue = X0))))), 3.38/0.99 inference(rectify,[],[f1635])). 3.38/0.99 tff(f1635,plain,( 3.38/0.99 ! [X1 : tlbool,X0 : 'A_set_list$'] : ((tltrue != X1 | ((tltrue != X1 | 'false_ltln$' = 'fun_app$c'('foldl$'('af_letter$','false_ltln$'),X0)) & ('true_ltln$' = 'fun_app$c'('foldl$'('af_letter$','false_ltln$'),X0) | tltrue = X1))) & (tltrue = X1 | ((tltrue != X1 | 'fun_app$c'('foldl$'('af_letter$','true_ltln$'),X0) = 'false_ltln$') & ('true_ltln$' = 'fun_app$c'('foldl$'('af_letter$','true_ltln$'),X0) | tltrue = X1))))), 3.38/0.99 inference(ennf_transformation,[],[f879])). 3.38/0.99 tff(f879,plain,( 3.38/0.99 ! [X0 : 'A_set_list$',X1 : tlbool] : ((tltrue = X1 => ((tltrue != X1 => 'true_ltln$' = 'fun_app$c'('foldl$'('af_letter$','false_ltln$'),X0)) & (tltrue = X1 => 'false_ltln$' = 'fun_app$c'('foldl$'('af_letter$','false_ltln$'),X0)))) & (tltrue != X1 => ((tltrue = X1 => 'fun_app$c'('foldl$'('af_letter$','true_ltln$'),X0) = 'false_ltln$') & (tltrue != X1 => 'true_ltln$' = 'fun_app$c'('foldl$'('af_letter$','true_ltln$'),X0)))))), 3.38/0.99 inference(rectify,[],[f345])). 3.38/0.99 tff(f345,axiom,( 3.38/0.99 ! [X1 : 'A_set_list$',X0 : tlbool] : ((tltrue = X0 => ((tltrue != X0 => 'true_ltln$' = 'fun_app$c'('foldl$'('af_letter$','false_ltln$'),X1)) & (tltrue = X0 => 'false_ltln$' = 'fun_app$c'('foldl$'('af_letter$','false_ltln$'),X1)))) & (tltrue != X0 => ((tltrue = X0 => 'false_ltln$' = 'fun_app$c'('foldl$'('af_letter$','true_ltln$'),X1)) & (tltrue != X0 => 'true_ltln$' = 'fun_app$c'('foldl$'('af_letter$','true_ltln$'),X1)))))), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4325,plain,( 3.38/0.99 spl204_20 | spl204_21), 3.38/0.99 inference(avatar_split_clause,[],[f3773,f4323,f4320])). 3.38/0.99 tff(f3773,plain,( 3.38/0.99 ( ! [X7 : 'Nat$',X4 : 'Nat$'] : (~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',sK178),X7))),'true_ltln$') | 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X4,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$') | ~$less('fun_app$g'('of_nat$',sK177(X4)),'fun_app$g'('of_nat$',X4))) )), 3.38/0.99 inference(cnf_transformation,[],[f2615])). 3.38/0.99 tff(f4318,plain,( 3.38/0.99 spl204_18 | spl204_19), 3.38/0.99 inference(avatar_split_clause,[],[f2907,f4316,f4313])). 3.38/0.99 tff(f4316,definition,( 3.38/0.99 spl204_19 <=> ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$'] : ~'af_congruent$'(X0)), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_19])],[avatar_definition])). 3.38/0.99 tff(f2907,plain,( 3.38/0.99 ( ! [X2 : 'Nat_a_set_fun$',X3 : 'Nat$',X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'Nat$'] : ($less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',X1)) | ~'af_congruent$'(X0) | 'fun_app$d'('subsequence$'(X2,'nat$'(0)),X3) = 'append$'('fun_app$d'('subsequence$'(X2,'nat$'(0)),X1),'fun_app$d'('subsequence$'(X2,X1),X3))) )), 3.38/0.99 inference(cnf_transformation,[],[f1980])). 3.38/0.99 tff(f1980,plain,( 3.38/0.99 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'Nat$',X2 : 'Nat_a_set_fun$',X3 : 'Nat$'] : (~'af_congruent$'(X0) | $less('fun_app$g'('of_nat$',X3),'fun_app$g'('of_nat$',X1)) | 'fun_app$d'('subsequence$'(X2,'nat$'(0)),X3) = 'append$'('fun_app$d'('subsequence$'(X2,'nat$'(0)),X1),'fun_app$d'('subsequence$'(X2,X1),X3)))), 3.38/0.99 inference(rectify,[],[f1329])). 3.38/0.99 tff(f1329,plain,( 3.38/0.99 ! [X3 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'Nat$',X0 : 'Nat_a_set_fun$',X2 : 'Nat$'] : (~'af_congruent$'(X3) | $less('fun_app$g'('of_nat$',X2),'fun_app$g'('of_nat$',X1)) | 'fun_app$d'('subsequence$'(X0,'nat$'(0)),X2) = 'append$'('fun_app$d'('subsequence$'(X0,'nat$'(0)),X1),'fun_app$d'('subsequence$'(X0,X1),X2)))), 3.38/0.99 inference(flattening,[],[f1328])). 3.38/0.99 tff(f1328,plain,( 3.38/0.99 ! [X0 : 'Nat_a_set_fun$',X1 : 'Nat$',X3 : 'A_ltln_a_ltln_bool_fun_fun$',X2 : 'Nat$'] : ('fun_app$d'('subsequence$'(X0,'nat$'(0)),X2) = 'append$'('fun_app$d'('subsequence$'(X0,'nat$'(0)),X1),'fun_app$d'('subsequence$'(X0,X1),X2)) | (~'af_congruent$'(X3) | $less('fun_app$g'('of_nat$',X2),'fun_app$g'('of_nat$',X1))))), 3.38/0.99 inference(ennf_transformation,[],[f945])). 3.38/0.99 tff(f945,plain,( 3.38/0.99 ! [X0 : 'Nat_a_set_fun$',X1 : 'Nat$',X3 : 'A_ltln_a_ltln_bool_fun_fun$',X2 : 'Nat$'] : (('af_congruent$'(X3) & ~$less('fun_app$g'('of_nat$',X2),'fun_app$g'('of_nat$',X1))) => 'fun_app$d'('subsequence$'(X0,'nat$'(0)),X2) = 'append$'('fun_app$d'('subsequence$'(X0,'nat$'(0)),X1),'fun_app$d'('subsequence$'(X0,X1),X2)))), 3.38/0.99 inference(rectify,[],[f706])). 3.38/0.99 tff(f706,plain,( 3.38/0.99 ! [X3 : 'Nat_a_set_fun$',X1 : 'Nat$',X2 : 'Nat$',X0 : 'A_ltln_a_ltln_bool_fun_fun$'] : (('af_congruent$'(X0) & ~$less('fun_app$g'('of_nat$',X2),'fun_app$g'('of_nat$',X1))) => 'append$'('fun_app$d'('subsequence$'(X3,'nat$'(0)),X1),'fun_app$d'('subsequence$'(X3,X1),X2)) = 'fun_app$d'('subsequence$'(X3,'nat$'(0)),X2))), 3.38/0.99 inference(theory_normalization,[],[f202])). 3.38/0.99 tff(f202,axiom,( 3.38/0.99 ! [X3 : 'Nat_a_set_fun$',X1 : 'Nat$',X2 : 'Nat$',X0 : 'A_ltln_a_ltln_bool_fun_fun$'] : (('af_congruent$'(X0) & $lesseq('fun_app$g'('of_nat$',X1),'fun_app$g'('of_nat$',X2))) => 'append$'('fun_app$d'('subsequence$'(X3,'nat$'(0)),X1),'fun_app$d'('subsequence$'(X3,X1),X2)) = 'fun_app$d'('subsequence$'(X3,'nat$'(0)),X2))), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4311,plain,( 3.38/0.99 spl204_17), 3.38/0.99 inference(avatar_split_clause,[],[f3379,f4308])). 3.38/0.99 tff(f4308,definition,( 3.38/0.99 spl204_17 <=> 'equivp$'('ltl_const_equiv$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_17])],[avatar_definition])). 3.38/0.99 tff(f3379,plain,( 3.38/0.99 'equivp$'('ltl_const_equiv$')), 3.38/0.99 inference(cnf_transformation,[],[f350])). 3.38/0.99 tff(f350,axiom,( 3.38/0.99 'equivp$'('ltl_const_equiv$')), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4306,plain,( 3.38/0.99 spl204_15 | spl204_16), 3.38/0.99 inference(avatar_split_clause,[],[f3173,f4304,f4301])). 3.38/0.99 tff(f3173,plain,( 3.38/0.99 ( ! [X7 : 'Nat$',X4 : 'Nat$'] : (~$less('fun_app$g'('of_nat$',sK89(X4)),'fun_app$g'('of_nat$',X4)) | 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X4,'w$'),'nat$'(0)),'nat$'(0)))),'true_ltln$') | ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK90,'w$'),'nat$'(0)),X7))),'true_ltln$')) )), 3.38/0.99 inference(cnf_transformation,[],[f2200])). 3.38/0.99 tff(f4299,plain,( 3.38/0.99 spl204_13 | spl204_14), 3.38/0.99 inference(avatar_split_clause,[],[f4140,f4297,f4294])). 3.38/0.99 tff(f4140,plain,( 3.38/0.99 ( ! [X0 : 'Nat_a_set_fun$',X1 : tlbool] : ('fun_app$a'('semantics_ltln$'(X0),'true_ltln$') | tltrue = X1) )), 3.38/0.99 inference(duplicate_literal_removal,[],[f3557])). 3.38/0.99 tff(f3557,plain,( 3.38/0.99 ( ! [X0 : 'Nat_a_set_fun$',X1 : tlbool] : (tltrue = X1 | tltrue = X1 | 'fun_app$a'('semantics_ltln$'(X0),'true_ltln$')) )), 3.38/0.99 inference(cnf_transformation,[],[f2488])). 3.38/0.99 tff(f2488,plain,( 3.38/0.99 ! [X0 : 'Nat_a_set_fun$',X1 : tlbool] : ((((tltrue != X1 | 'fun_app$a'('semantics_ltln$'(X0),'false_ltln$')) & (tltrue = X1 | 'fun_app$a'('semantics_ltln$'(X0),'true_ltln$'))) | tltrue = X1) & (tltrue != X1 | (tltrue = X1 & ~'fun_app$a'('semantics_ltln$'(X0),'false_ltln$')) | (tltrue != X1 & ~'fun_app$a'('semantics_ltln$'(X0),'true_ltln$'))))), 3.38/0.99 inference(flattening,[],[f2487])). 3.38/0.99 tff(f2487,plain,( 3.38/0.99 ! [X0 : 'Nat_a_set_fun$',X1 : tlbool] : ((((tltrue != X1 | 'fun_app$a'('semantics_ltln$'(X0),'false_ltln$')) & (tltrue = X1 | 'fun_app$a'('semantics_ltln$'(X0),'true_ltln$'))) | tltrue = X1) & (tltrue != X1 | ((tltrue = X1 & ~'fun_app$a'('semantics_ltln$'(X0),'false_ltln$')) | (tltrue != X1 & ~'fun_app$a'('semantics_ltln$'(X0),'true_ltln$')))))), 3.38/0.99 inference(nnf_transformation,[],[f1776])). 3.38/0.99 tff(f1776,plain,( 3.38/0.99 ! [X0 : 'Nat_a_set_fun$',X1 : tlbool] : (((tltrue != X1 | 'fun_app$a'('semantics_ltln$'(X0),'false_ltln$')) & (tltrue = X1 | 'fun_app$a'('semantics_ltln$'(X0),'true_ltln$'))) <=> tltrue != X1)), 3.38/0.99 inference(ennf_transformation,[],[f405])). 3.38/0.99 tff(f405,axiom,( 3.38/0.99 ! [X0 : 'Nat_a_set_fun$',X1 : tlbool] : (tltrue != X1 <=> ((tltrue != X1 => 'fun_app$a'('semantics_ltln$'(X0),'true_ltln$')) & (tltrue = X1 => 'fun_app$a'('semantics_ltln$'(X0),'false_ltln$'))))), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4292,plain,( 3.38/0.99 spl204_12), 3.38/0.99 inference(avatar_split_clause,[],[f3738,f4289])). 3.38/0.99 tff(f4289,definition,( 3.38/0.99 spl204_12 <=> 'af_congruent$'('ltl_const_equiv$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_12])],[avatar_definition])). 3.38/0.99 tff(f3738,plain,( 3.38/0.99 'af_congruent$'('ltl_const_equiv$')), 3.38/0.99 inference(cnf_transformation,[],[f149])). 3.38/0.99 tff(f149,axiom,( 3.38/0.99 'af_congruent$'('ltl_const_equiv$')), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4287,plain,( 3.38/0.99 spl204_10 | spl204_11), 3.38/0.99 inference(avatar_split_clause,[],[f2942,f4285,f4282])). 3.38/0.99 tff(f2942,plain,( 3.38/0.99 ( ! [X2 : 'Nat$',X0 : 'Nat$'] : ('fun_app$a'('semantics_ltln$'('suffix$'(X0,'w$')),'until_ltln$'('true_ltln$','phi$')) | ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK51,'w$'),'nat$'(0)),X2))),'true_ltln$')) )), 3.38/0.99 inference(cnf_transformation,[],[f2013])). 3.38/0.99 tff(f2013,plain,( 3.38/0.99 (! [X0 : 'Nat$'] : 'fun_app$a'('semantics_ltln$'('suffix$'(X0,'w$')),'until_ltln$'('true_ltln$','phi$')) | ! [X2 : 'Nat$'] : ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK51,'w$'),'nat$'(0)),X2))),'true_ltln$')) & (! [X3 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X3,'w$'),'nat$'(0)),sK52(X3)))),'true_ltln$') | ~'fun_app$a'('semantics_ltln$'('suffix$'(sK53,'w$')),'until_ltln$'('true_ltln$','phi$')))), 3.38/0.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK51,sK52,sK53])],[f2009,f2012,f2011,f2010])). 3.38/0.99 tff(f2010,plain,( 3.38/0.99 ? [X1 : 'Nat$'] : ! [X2 : 'Nat$'] : ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X1,'w$'),'nat$'(0)),X2))),'true_ltln$') => ! [X2 : 'Nat$'] : ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(sK51,'w$'),'nat$'(0)),X2))),'true_ltln$')), 3.38/0.99 introduced(definition,[],[choice_axiom])). 3.38/0.99 tff(f2011,plain,( 3.38/0.99 ! [X3 : 'Nat$'] : (? [X4 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X3,'w$'),'nat$'(0)),X4))),'true_ltln$') => 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X3,'w$'),'nat$'(0)),sK52(X3)))),'true_ltln$'))), 3.38/0.99 introduced(definition,[],[choice_axiom])). 3.38/0.99 tff(f2012,plain,( 3.38/0.99 ? [X5 : 'Nat$'] : ~'fun_app$a'('semantics_ltln$'('suffix$'(X5,'w$')),'until_ltln$'('true_ltln$','phi$')) => ~'fun_app$a'('semantics_ltln$'('suffix$'(sK53,'w$')),'until_ltln$'('true_ltln$','phi$'))), 3.38/0.99 introduced(definition,[],[choice_axiom])). 3.38/0.99 tff(f2009,plain,( 3.38/0.99 (! [X0 : 'Nat$'] : 'fun_app$a'('semantics_ltln$'('suffix$'(X0,'w$')),'until_ltln$'('true_ltln$','phi$')) | ? [X1 : 'Nat$'] : ! [X2 : 'Nat$'] : ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X1,'w$'),'nat$'(0)),X2))),'true_ltln$')) & (! [X3 : 'Nat$'] : ? [X4 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X3,'w$'),'nat$'(0)),X4))),'true_ltln$') | ? [X5 : 'Nat$'] : ~'fun_app$a'('semantics_ltln$'('suffix$'(X5,'w$')),'until_ltln$'('true_ltln$','phi$')))), 3.38/0.99 inference(rectify,[],[f2008])). 3.38/0.99 tff(f2008,plain,( 3.38/0.99 (! [X0 : 'Nat$'] : 'fun_app$a'('semantics_ltln$'('suffix$'(X0,'w$')),'until_ltln$'('true_ltln$','phi$')) | ? [X1 : 'Nat$'] : ! [X2 : 'Nat$'] : ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X1,'w$'),'nat$'(0)),X2))),'true_ltln$')) & (! [X1 : 'Nat$'] : ? [X2 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X1,'w$'),'nat$'(0)),X2))),'true_ltln$') | ? [X0 : 'Nat$'] : ~'fun_app$a'('semantics_ltln$'('suffix$'(X0,'w$')),'until_ltln$'('true_ltln$','phi$')))), 3.38/0.99 inference(nnf_transformation,[],[f1037])). 3.38/0.99 tff(f1037,plain,( 3.38/0.99 ! [X0 : 'Nat$'] : 'fun_app$a'('semantics_ltln$'('suffix$'(X0,'w$')),'until_ltln$'('true_ltln$','phi$')) <=> ! [X1 : 'Nat$'] : ? [X2 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X1,'w$'),'nat$'(0)),X2))),'true_ltln$')), 3.38/0.99 inference(rectify,[],[f434])). 3.38/0.99 tff(f434,axiom,( 3.38/0.99 ! [X0 : 'Nat$'] : 'fun_app$a'('semantics_ltln$'('suffix$'(X0,'w$')),'until_ltln$'('true_ltln$','phi$')) <=> ! [X0 : 'Nat$'] : ? [X1 : 'Nat$'] : 'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X0,'w$'),'nat$'(0)),X1))),'true_ltln$')), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4280,plain,( 3.38/0.99 ~spl204_9), 3.38/0.99 inference(avatar_split_clause,[],[f2790,f4277])). 3.38/0.99 tff(f4277,definition,( 3.38/0.99 spl204_9 <=> tltrue = tlfalse), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_9])],[avatar_definition])). 3.38/0.99 tff(f2790,plain,( 3.38/0.99 tltrue != tlfalse), 3.38/0.99 inference(cnf_transformation,[],[f58])). 3.38/0.99 tff(f58,axiom,( 3.38/0.99 tltrue != tlfalse), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4275,plain,( 3.38/0.99 ~spl204_8), 3.38/0.99 inference(avatar_split_clause,[],[f3464,f4272])). 3.38/0.99 tff(f4272,definition,( 3.38/0.99 spl204_8 <=> 'true_ltln$' = 'false_ltln$'), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_8])],[avatar_definition])). 3.38/0.99 tff(f3464,plain,( 3.38/0.99 'true_ltln$' != 'false_ltln$'), 3.38/0.99 inference(cnf_transformation,[],[f354])). 3.38/0.99 tff(f354,axiom,( 3.38/0.99 'true_ltln$' != 'false_ltln$'), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4270,plain,( 3.38/0.99 ~spl204_6 | spl204_7), 3.38/0.99 inference(avatar_split_clause,[],[f3785,f4268,f4264])). 3.38/0.99 tff(f3785,plain,( 3.38/0.99 ( ! [X1 : 'Nat$'] : (~'fun_app$a'('semantics_ltln$'('w$'),'release_ltln$'('false_ltln$','until_ltln$'('true_ltln$','phi$'))) | ~'fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('w$',sK179),X1))),'true_ltln$')) )), 3.38/0.99 inference(cnf_transformation,[],[f2623])). 3.38/0.99 tff(f4262,plain,( 3.38/0.99 spl204_5), 3.38/0.99 inference(avatar_split_clause,[],[f4135,f4259])). 3.38/0.99 tff(f4259,definition,( 3.38/0.99 spl204_5 <=> 1 = 'fun_app$g'('of_nat$','size$a'('true_ltln$'))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_5])],[avatar_definition])). 3.38/0.99 tff(f4135,plain,( 3.38/0.99 1 = 'fun_app$g'('of_nat$','size$a'('true_ltln$'))), 3.38/0.99 inference(evaluation,[],[f3296])). 3.38/0.99 tff(f3296,plain,( 3.38/0.99 $sum(0,1) = 'fun_app$g'('of_nat$','size$a'('true_ltln$'))), 3.38/0.99 inference(cnf_transformation,[],[f269])). 3.38/0.99 tff(f269,axiom,( 3.38/0.99 $sum(0,1) = 'fun_app$g'('of_nat$','size$a'('true_ltln$'))), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4256,plain,( 3.38/0.99 spl204_4), 3.38/0.99 inference(avatar_split_clause,[],[f3883,f4253])). 3.38/0.99 tff(f4253,definition,( 3.38/0.99 spl204_4 <=> 'equivp$'('ltl_lang_equiv$')), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_4])],[avatar_definition])). 3.38/0.99 tff(f3883,plain,( 3.38/0.99 'equivp$'('ltl_lang_equiv$')), 3.38/0.99 inference(cnf_transformation,[],[f275])). 3.38/0.99 tff(f275,axiom,( 3.38/0.99 'equivp$'('ltl_lang_equiv$')), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 tff(f4251,plain,( 3.38/0.99 ~spl204_2 | spl204_3), 3.38/0.99 inference(avatar_split_clause,[],[f2941,f4249,f4245])). 3.38/0.99 tff(f2941,plain,( 3.38/0.99 ( ! [X3 : 'Nat$'] : ('fun_app$a'('fun_app$b'('eq$','fun_app$c'('foldl$'('af_letter$','until_ltln$'('true_ltln$','phi$')),'fun_app$d'('subsequence$'('suffix$'(X3,'w$'),'nat$'(0)),sK52(X3)))),'true_ltln$') | ~'fun_app$a'('semantics_ltln$'('suffix$'(sK53,'w$')),'until_ltln$'('true_ltln$','phi$'))) )), 3.38/0.99 inference(cnf_transformation,[],[f2013])). 3.38/0.99 tff(f4243,plain,( 3.38/0.99 spl204_1), 3.38/0.99 inference(avatar_split_clause,[],[f3289,f4240])). 3.38/0.99 tff(f4240,definition,( 3.38/0.99 spl204_1 <=> 0 = 'fun_app$g'('of_nat$','fun_app$y'('size$','nil$'))), 3.38/0.99 introduced(definition,[new_symbols(naming,[spl204_1])],[avatar_definition])). 3.38/0.99 tff(f3289,plain,( 3.38/0.99 0 = 'fun_app$g'('of_nat$','fun_app$y'('size$','nil$'))), 3.38/0.99 inference(cnf_transformation,[],[f115])). 3.38/0.99 tff(f115,axiom,( 3.38/0.99 0 = 'fun_app$g'('of_nat$','fun_app$y'('size$','nil$'))), 3.38/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 3.38/0.99 % SZS output end Proof for theBenchmark 3.38/0.99 % (2972)------------------------------ 3.38/0.99 % (2972)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.38/0.99 % (2972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.38/0.99 % (2972)Termination reason: Refutation 3.38/0.99 3.38/0.99 % (2972)Time elapsed: 0.128 s 3.38/0.99 % (2972)Peak memory usage: 50 MB 3.38/0.99 % (2972)Instructions burned: 339 (million) 3.38/0.99 % (2972)------------------------------ 3.38/0.99 % (2972)------------------------------ 3.38/0.99 % (2777)Success in time 0.619 s 3.38/0.99 EOF