0.10/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.12 % Command : run_vampire %s %d THM 0.11/0.33 % Computer : n021.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 960 0.11/0.33 % WCLimit : 120 0.11/0.33 % DateTime : Wed Jul 30 07:04:34 EDT 2025 0.11/0.33 % CPUTime : 0.11/0.35 This is a TFF_ problem 0.11/0.35 Running first-order theorem proving 0.11/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.19/0.48 % (10282)Running in auto input_syntax mode. Trying TPTP 0.19/0.48 % (10290)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=518765242:i=33:rtra=on_1199 on theBenchmark for (1199ds/33Mi) 0.19/0.49 % (10282)Running in auto input_syntax mode. Trying TPTP 0.19/0.49 % (10288)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3226030663:i=4:rtra=on_1199 on theBenchmark for (1199ds/4Mi) 0.19/0.50 % (10282)Running in auto input_syntax mode. Trying TPTP 0.19/0.50 % (10287)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3165693893:s2a=on:i=7:rtra=on:inst=on_1199 on theBenchmark for (1199ds/7Mi) 0.19/0.50 % (10290)Instruction limit reached! 0.19/0.50 % (10290)------------------------------ 0.19/0.50 % (10290)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.19/0.50 % (10290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.19/0.50 % (10290)Termination reason: Instruction limit 0.19/0.50 % (10290)Termination phase: Preprocessing 3 0.19/0.50 0.19/0.50 % (10290)Time elapsed: 0.019 s 0.19/0.50 % (10290)Peak memory usage: 8 MB 0.19/0.50 % (10290)Instructions burned: 35 (million) 0.19/0.51 % (10288)Instruction limit reached! 0.19/0.51 % (10288)------------------------------ 0.19/0.51 % (10288)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.19/0.51 % (10288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.19/0.51 % (10288)Termination reason: Instruction limit 0.19/0.51 % (10288)Termination phase: Unused predicate definition removal 0.19/0.51 0.19/0.51 % (10288)Time elapsed: 0.014 s 0.19/0.51 % (10288)Peak memory usage: 8 MB 0.19/0.51 % (10288)Instructions burned: 29 (million) 0.19/0.51 % (10282)Running in auto input_syntax mode. Trying TPTP 0.19/0.51 % (10284)dis+1002_16:1_to=lpo:sil=64000:norm_ineq=on:sas=z3:si=on:gve=force:uwa=one_side_constant:random_seed=149842738:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_1199 on theBenchmark for (1199ds/12Mi) 0.19/0.51 % (10287)Instruction limit reached! 0.19/0.51 % (10287)------------------------------ 0.19/0.51 % (10287)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.19/0.51 % (10287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.19/0.51 % (10287)Termination reason: Instruction limit 0.19/0.51 % (10287)Termination phase: Property scanning 0.19/0.51 0.19/0.51 % (10287)Time elapsed: 0.010 s 0.19/0.51 % (10287)Peak memory usage: 7 MB 0.19/0.51 % (10287)Instructions burned: 20 (million) 0.19/0.51 % (10284)Instruction limit reached! 0.19/0.51 % (10284)------------------------------ 0.19/0.51 % (10284)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.19/0.51 % (10284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.19/0.51 % (10284)Termination reason: Instruction limit 0.19/0.51 % (10284)Termination phase: shuffling 0.19/0.51 0.19/0.51 % (10284)Time elapsed: 0.006 s 0.19/0.51 % (10284)Peak memory usage: 7 MB 0.19/0.51 % (10284)Instructions burned: 13 (million) 0.84/0.59 % (10282)Running in auto input_syntax mode. Trying TPTP 0.84/0.59 % (10297)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=119189412:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_1198 on theBenchmark for (1198ds/16Mi) 0.84/0.60 % (10297)Instruction limit reached! 0.84/0.60 % (10297)------------------------------ 0.84/0.60 % (10297)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.84/0.60 % (10297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.84/0.60 % (10297)Termination reason: Instruction limit 0.84/0.60 % (10297)Termination phase: Preprocessing 1 0.84/0.60 0.84/0.60 % (10297)Time elapsed: 0.009 s 0.84/0.60 % (10297)Peak memory usage: 7 MB 0.84/0.60 % (10297)Instructions burned: 17 (million) 0.99/0.65 % (10282)Running in auto input_syntax mode. Trying TPTP 0.99/0.65 % (10286)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=329001416:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_1199 on theBenchmark for (1199ds/201Mi) 0.99/0.66 % (10282)Running in auto input_syntax mode. Trying TPTP 0.99/0.66 % (10285)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=589420958:i=307:kws=precedence:nm=0:rtra=on_1199 on theBenchmark for (1199ds/307Mi) 0.99/0.68 % (10282)Running in auto input_syntax mode. Trying TPTP 0.99/0.68 % (10300)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=2454679792:i=27:canc=cautious:fsr=off:rtra=on:uhcvi=off_1197 on theBenchmark for (1197ds/27Mi) 0.99/0.69 % (10282)Running in auto input_syntax mode. Trying TPTP 0.99/0.69 % (10295)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=3597207654:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_1198 on theBenchmark for (1198ds/29Mi) 0.99/0.70 % (10300)Instruction limit reached! 0.99/0.70 % (10300)------------------------------ 0.99/0.70 % (10300)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.99/0.70 % (10300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.99/0.70 % (10300)Termination reason: Instruction limit 0.99/0.70 % (10300)Termination phase: Preprocessing 1 0.99/0.70 0.99/0.70 % (10300)Time elapsed: 0.014 s 0.99/0.70 % (10300)Peak memory usage: 7 MB 0.99/0.70 % (10300)Instructions burned: 27 (million) 0.99/0.72 % (10282)Running in auto input_syntax mode. Trying TPTP 0.99/0.72 % (10298)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1471841506:i=24:canc=force:rtra=on_1198 on theBenchmark for (1198ds/24Mi) 0.99/0.72 % (10282)Running in auto input_syntax mode. Trying TPTP 0.99/0.72 % (10289)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1556038522:i=46:rtra=on_1199 on theBenchmark for (1199ds/46Mi) 0.99/0.73 % (10295)Instruction limit reached! 0.99/0.73 % (10295)------------------------------ 0.99/0.73 % (10295)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.99/0.73 % (10295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.99/0.73 % (10295)Termination reason: Instruction limit 0.99/0.73 % (10295)Termination phase: shuffling 0.99/0.73 0.99/0.73 % (10295)Time elapsed: 0.036 s 0.99/0.73 % (10295)Peak memory usage: 7 MB 0.99/0.73 % (10295)Instructions burned: 29 (million) 1.25/0.74 % (10298)Instruction limit reached! 1.25/0.74 % (10298)------------------------------ 1.25/0.74 % (10298)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.25/0.74 % (10298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.25/0.74 % (10298)Termination reason: Instruction limit 1.25/0.74 % (10298)Termination phase: Preprocessing 1 1.25/0.74 1.25/0.74 % (10298)Time elapsed: 0.019 s 1.25/0.74 % (10298)Peak memory usage: 7 MB 1.25/0.74 % (10298)Instructions burned: 25 (million) 1.25/0.78 % (10282)Running in auto input_syntax mode. Trying TPTP 1.25/0.78 % (10305)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1107281620:i=85:gtgl=4:rtra=on:gtg=exists_sym_1196 on theBenchmark for (1196ds/85Mi) 1.35/0.79 % (10282)Running in auto input_syntax mode. Trying TPTP 1.35/0.79 % (10294)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2033708045:st=5:i=14:sd=10:afp=4000:rtra=on:ss=axioms:rawr=on_1198 on theBenchmark for (1198ds/14Mi) 1.35/0.80 % (10294)Instruction limit reached! 1.35/0.80 % (10294)------------------------------ 1.35/0.80 % (10294)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.35/0.80 % (10294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.35/0.80 % (10294)Termination reason: Instruction limit 1.35/0.80 % (10294)Termination phase: SInE selection 1.35/0.80 1.35/0.80 % (10294)Time elapsed: 0.008 s 1.35/0.80 % (10294)Peak memory usage: 7 MB 1.35/0.80 % (10294)Instructions burned: 16 (million) 1.35/0.80 % (10289)Instruction limit reached! 1.35/0.80 % (10289)------------------------------ 1.35/0.80 % (10289)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.35/0.80 % (10289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.35/0.80 % (10289)Termination reason: Instruction limit 1.35/0.80 % (10289)Termination phase: Property scanning 1.35/0.80 1.35/0.80 % (10289)Time elapsed: 0.082 s 1.35/0.80 % (10289)Peak memory usage: 9 MB 1.35/0.80 % (10289)Instructions burned: 48 (million) 1.35/0.82 % (10305)Instruction limit reached! 1.35/0.82 % (10305)------------------------------ 1.35/0.82 % (10305)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.35/0.82 % (10305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.35/0.82 % (10305)Termination reason: Instruction limit 1.35/0.82 % (10305)Termination phase: Property scanning 1.35/0.82 1.35/0.82 % (10305)Time elapsed: 0.042 s 1.35/0.82 % (10305)Peak memory usage: 9 MB 1.35/0.82 % (10305)Instructions burned: 86 (million) 1.58/0.88 % (10282)Running in auto input_syntax mode. Trying TPTP 1.58/0.88 % (10312)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=340401474:i=4:ep=RST:ins=2:rtra=on_1195 on theBenchmark for (1195ds/4Mi) 1.58/0.88 % (10282)Running in auto input_syntax mode. Trying TPTP 1.58/0.88 % (10313)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=1157300333:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_1195 on theBenchmark for (1195ds/66Mi) 1.58/0.90 % (10312)Instruction limit reached! 1.58/0.90 % (10312)------------------------------ 1.58/0.90 % (10312)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.58/0.90 % (10312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.58/0.90 % (10312)Termination reason: Instruction limit 1.58/0.90 % (10312)Termination phase: Property scanning 1.58/0.90 1.58/0.90 % (10312)Time elapsed: 0.012 s 1.58/0.90 % (10312)Peak memory usage: 7 MB 1.58/0.90 % (10312)Instructions burned: 23 (million) 1.70/0.92 % (10282)Running in auto input_syntax mode. Trying TPTP 1.70/0.92 % (10308)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=4061883429:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_1196 on theBenchmark for (1196ds/2Mi) 1.70/0.93 % (10313)Instruction limit reached! 1.70/0.93 % (10313)------------------------------ 1.70/0.93 % (10313)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.70/0.93 % (10313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.70/0.93 % (10313)Termination reason: Instruction limit 1.70/0.93 % (10313)Termination phase: Property scanning 1.70/0.93 1.70/0.93 % (10313)Time elapsed: 0.042 s 1.70/0.93 % (10313)Peak memory usage: 9 MB 1.70/0.93 % (10313)Instructions burned: 67 (million) 1.70/0.93 % (10308)Instruction limit reached! 1.70/0.93 % (10308)------------------------------ 1.70/0.93 % (10308)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.70/0.93 % (10308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.70/0.93 % (10308)Termination reason: Instruction limit 1.70/0.93 % (10308)Termination phase: Property scanning 1.70/0.93 1.70/0.93 % (10308)Time elapsed: 0.011 s 1.70/0.93 % (10308)Peak memory usage: 7 MB 1.70/0.93 % (10308)Instructions burned: 8 (million) 1.70/0.94 % (10282)Running in auto input_syntax mode. Trying TPTP 1.70/0.94 % (10309)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=460435229:i=181:rtra=on:ss=axioms:ev=cautious_1196 on theBenchmark for (1196ds/181Mi) 1.94/1.00 % (10282)Running in auto input_syntax mode. Trying TPTP 1.94/1.00 % (10317)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=69255749:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_1194 on theBenchmark for (1194ds/8Mi) 1.94/1.01 % (10286)Instruction limit reached! 1.94/1.01 % (10286)------------------------------ 1.94/1.01 % (10286)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.94/1.01 % (10286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.94/1.01 % (10286)Termination reason: Instruction limit 1.94/1.01 % (10286)Termination phase: Saturation 1.94/1.01 1.94/1.01 % (10286)Time elapsed: 0.362 s 1.94/1.01 % (10286)Peak memory usage: 31 MB 1.94/1.01 % (10286)Instructions burned: 201 (million) 1.94/1.01 % (10282)Running in auto input_syntax mode. Trying TPTP 1.94/1.01 % (10319)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=2020757781:st=3:i=2:rtra=on:ss=axioms_1194 on theBenchmark for (1194ds/2Mi) 1.94/1.01 % (10317)Instruction limit reached! 1.94/1.01 % (10317)------------------------------ 1.94/1.01 % (10317)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.94/1.01 % (10317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.94/1.01 % (10317)Termination reason: Instruction limit 1.94/1.01 % (10317)Termination phase: Property scanning 1.94/1.01 1.94/1.01 % (10317)Time elapsed: 0.011 s 1.94/1.01 % (10317)Peak memory usage: 7 MB 1.94/1.01 % (10317)Instructions burned: 26 (million) 1.94/1.02 % (10319)Instruction limit reached! 1.94/1.02 % (10319)------------------------------ 1.94/1.02 % (10319)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.94/1.02 % (10319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.94/1.02 % (10319)Termination reason: Instruction limit 1.94/1.02 % (10319)Termination phase: Preprocessing 1 1.94/1.02 1.94/1.02 % (10319)Time elapsed: 0.012 s 1.94/1.02 % (10319)Peak memory usage: 7 MB 1.94/1.02 % (10319)Instructions burned: 21 (million) 2.20/1.04 % (10282)Running in auto input_syntax mode. Trying TPTP 2.20/1.04 % (10320)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=525635012:i=2:doe=on:canc=force:asg=cautious:rtra=on_1194 on theBenchmark for (1194ds/2Mi) 2.20/1.04 % (10320)Instruction limit reached! 2.20/1.04 % (10320)------------------------------ 2.20/1.04 % (10320)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.20/1.04 % (10320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.20/1.05 % (10320)Termination reason: Instruction limit 2.20/1.05 % (10320)Termination phase: Property scanning 2.20/1.05 2.20/1.05 % (10320)Time elapsed: 0.008 s 2.20/1.05 % (10320)Peak memory usage: 7 MB 2.20/1.05 % (10320)Instructions burned: 7 (million) 2.20/1.07 % (10309)Instruction limit reached! 2.20/1.07 % (10309)------------------------------ 2.20/1.07 % (10309)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.20/1.07 % (10309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.20/1.07 % (10309)Termination reason: Instruction limit 2.20/1.07 % (10309)Termination phase: Saturation 2.20/1.07 2.20/1.07 % (10309)Time elapsed: 0.134 s 2.20/1.07 % (10309)Peak memory usage: 11 MB 2.20/1.07 % (10309)Instructions burned: 181 (million) 2.53/1.08 % (10282)Running in auto input_syntax mode. Trying TPTP 2.53/1.08 % (10314)lrs+10_1_thi=all:si=on:fd=off:random_seed=186635243:i=53:rtra=on:gtg=all_1195 on theBenchmark for (1195ds/53Mi) 2.53/1.11 % (10282)Running in auto input_syntax mode. Trying TPTP 2.53/1.11 % (10325)dis+10_1_si=on:random_seed=4213783311:i=10:ep=R:rtra=on_1193 on theBenchmark for (1193ds/10Mi) 2.53/1.13 % (10325)Instruction limit reached! 2.53/1.13 % (10325)------------------------------ 2.53/1.13 % (10325)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.53/1.13 % (10325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.53/1.13 % (10325)Termination reason: Instruction limit 2.53/1.13 % (10325)Termination phase: Preprocessing 3 2.53/1.13 2.53/1.13 % (10325)Time elapsed: 0.024 s 2.53/1.13 % (10325)Peak memory usage: 9 MB 2.53/1.13 % (10325)Instructions burned: 48 (million) 2.53/1.13 % (10314)Instruction limit reached! 2.53/1.13 % (10314)------------------------------ 2.53/1.13 % (10314)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.53/1.13 % (10314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.53/1.13 % (10314)Termination reason: Instruction limit 2.53/1.13 % (10314)Termination phase: shuffling 2.53/1.13 2.53/1.13 % (10314)Time elapsed: 0.049 s 2.53/1.13 % (10314)Peak memory usage: 8 MB 2.53/1.13 % (10314)Instructions burned: 53 (million) 2.53/1.16 % (10285)Instruction limit reached! 2.53/1.16 % (10285)------------------------------ 2.53/1.16 % (10285)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.53/1.16 % (10285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.53/1.16 % (10285)Termination reason: Instruction limit 2.53/1.16 % (10285)Termination phase: Saturation 2.53/1.16 2.53/1.16 % (10285)Time elapsed: 0.499 s 2.53/1.16 % (10285)Peak memory usage: 31 MB 2.53/1.16 % (10285)Instructions burned: 314 (million) 2.53/1.18 % (10282)Running in auto input_syntax mode. Trying TPTP 2.53/1.18 % (10324)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=1487947872:i=127:doe=on:rtra=on_1193 on theBenchmark for (1193ds/127Mi) 3.08/1.20 % (10282)Running in auto input_syntax mode. Trying TPTP 3.08/1.20 % (10328)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=3734643819: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_1193 on theBenchmark for (1193ds/35Mi) 3.08/1.22 % (10328)Instruction limit reached! 3.08/1.22 % (10328)------------------------------ 3.08/1.22 % (10328)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.08/1.22 % (10328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.08/1.22 % (10328)Termination reason: Instruction limit 3.08/1.22 % (10328)Termination phase: Clausification 3.08/1.22 3.08/1.22 % (10328)Time elapsed: 0.027 s 3.08/1.22 % (10328)Peak memory usage: 9 MB 3.08/1.22 % (10328)Instructions burned: 52 (million) 3.08/1.22 % (10282)Running in auto input_syntax mode. Trying TPTP 3.08/1.22 % (10326)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=3571752456:i=26:canc=cautious:av=off:rtra=on_1193 on theBenchmark for (1193ds/26Mi) 3.27/1.26 % (10326)Instruction limit reached! 3.27/1.26 % (10326)------------------------------ 3.27/1.26 % (10326)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.27/1.26 % (10326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.27/1.26 % (10326)Termination reason: Instruction limit 3.27/1.26 % (10326)Termination phase: Preprocessing 1 3.27/1.26 3.27/1.26 % (10326)Time elapsed: 0.034 s 3.27/1.26 % (10326)Peak memory usage: 7 MB 3.27/1.26 % (10326)Instructions burned: 28 (million) 3.27/1.27 % (10282)Running in auto input_syntax mode. Trying TPTP 3.27/1.27 % (10333)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=2281027517:i=370:ep=RS:fsr=off:rtra=on_1192 on theBenchmark for (1192ds/370Mi) 3.27/1.28 % (10282)Running in auto input_syntax mode. Trying TPTP 3.27/1.28 % (10329)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=3077055303:i=2:fsr=off:rtra=on:inst=on_1192 on theBenchmark for (1192ds/2Mi) 3.27/1.30 % (10329)Instruction limit reached! 3.27/1.30 % (10329)------------------------------ 3.27/1.30 % (10329)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.27/1.30 % (10329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.27/1.30 % (10329)Termination reason: Instruction limit 3.27/1.30 % (10329)Termination phase: Property scanning 3.27/1.30 3.27/1.30 % (10329)Time elapsed: 0.018 s 3.27/1.30 % (10329)Peak memory usage: 7 MB 3.27/1.30 % (10329)Instructions burned: 17 (million) 3.42/1.32 % (10282)Running in auto input_syntax mode. Trying TPTP 3.42/1.32 % (10332)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:abs=on:uwa=off:s2agt=16:random_seed=4089807876:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_1192 on theBenchmark for (1192ds/8Mi) 3.42/1.33 % (10324)Instruction limit reached! 3.42/1.33 % (10324)------------------------------ 3.42/1.33 % (10324)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.42/1.33 % (10324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.42/1.33 % (10324)Termination reason: Instruction limit 3.42/1.33 % (10324)Termination phase: Saturation 3.42/1.33 3.42/1.33 % (10324)Time elapsed: 0.148 s 3.42/1.33 % (10324)Peak memory usage: 31 MB 3.42/1.33 % (10324)Instructions burned: 127 (million) 3.42/1.33 % (10332)Instruction limit reached! 3.42/1.33 % (10332)------------------------------ 3.42/1.33 % (10332)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.42/1.33 % (10332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.42/1.33 % (10332)Termination reason: Instruction limit 3.42/1.33 % (10332)Termination phase: SInE selection 3.42/1.33 3.42/1.33 % (10332)Time elapsed: 0.012 s 3.42/1.33 % (10332)Peak memory usage: 7 MB 3.42/1.33 % (10332)Instructions burned: 25 (million) 3.42/1.35 % (10282)Running in auto input_syntax mode. Trying TPTP 3.42/1.35 % (10334)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=3909768064:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_1191 on theBenchmark for (1191ds/13Mi) 3.54/1.37 % (10334)Instruction limit reached! 3.54/1.37 % (10334)------------------------------ 3.54/1.37 % (10334)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.54/1.37 % (10334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.54/1.37 % (10334)Termination reason: Instruction limit 3.54/1.37 % (10334)Termination phase: Property scanning 3.54/1.37 3.54/1.37 % (10334)Time elapsed: 0.020 s 3.54/1.37 % (10334)Peak memory usage: 7 MB 3.54/1.37 % (10334)Instructions burned: 13 (million) 3.54/1.38 % (10282)Running in auto input_syntax mode. Trying TPTP 3.54/1.38 % (10338)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=184965393:i=226:rtra=on:gtg=position:ss=axioms_1191 on theBenchmark for (1191ds/226Mi) 3.54/1.42 % (10282)Running in auto input_syntax mode. Trying TPTP 3.54/1.42 % (10345)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=925744729:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_1190 on theBenchmark for (1190ds/294Mi) 3.54/1.42 % (10282)Running in auto input_syntax mode. Trying TPTP 3.54/1.42 % (10344)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=3701803464:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_1190 on theBenchmark for (1190ds/75Mi) 3.54/1.43 % (10282)Running in auto input_syntax mode. Trying TPTP 3.54/1.43 % (10339)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=3416105780:i=10:rtra=on_1190 on theBenchmark for (1190ds/10Mi) 3.54/1.44 % (10339)Instruction limit reached! 3.54/1.44 % (10339)------------------------------ 3.54/1.44 % (10339)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.54/1.44 % (10339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.54/1.44 % (10339)Termination reason: Instruction limit 3.54/1.44 % (10339)Termination phase: Property scanning 3.54/1.44 3.54/1.44 % (10339)Time elapsed: 0.010 s 3.54/1.44 % (10339)Peak memory usage: 7 MB 3.54/1.44 % (10339)Instructions burned: 10 (million) 3.83/1.46 % (10333)Instruction limit reached! 3.83/1.46 % (10333)------------------------------ 3.83/1.46 % (10333)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.83/1.46 % (10333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.83/1.46 % (10333)Termination reason: Instruction limit 3.83/1.46 % (10333)Termination phase: Saturation 3.83/1.46 3.83/1.46 % (10333)Time elapsed: 0.192 s 3.83/1.46 % (10333)Peak memory usage: 13 MB 3.83/1.46 % (10333)Instructions burned: 371 (million) 3.83/1.48 % (10282)Running in auto input_syntax mode. Trying TPTP 3.83/1.48 % (10342)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=451383042:i=71:rtra=on:gtg=exists_top_1190 on theBenchmark for (1190ds/71Mi) 3.85/1.51 % (10344)Instruction limit reached! 3.85/1.51 % (10344)------------------------------ 3.85/1.51 % (10344)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.85/1.51 % (10344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.85/1.51 % (10344)Termination reason: Instruction limit 3.85/1.51 % (10344)Termination phase: Property scanning 3.85/1.51 3.85/1.51 % (10344)Time elapsed: 0.091 s 3.85/1.51 % (10344)Peak memory usage: 9 MB 3.85/1.51 % (10344)Instructions burned: 76 (million) 3.85/1.52 % (10282)Running in auto input_syntax mode. Trying TPTP 3.85/1.52 % (10347)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=3623994603:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_1189 on theBenchmark for (1189ds/130Mi) 3.97/1.55 % (10342)Instruction limit reached! 3.97/1.55 % (10342)------------------------------ 3.97/1.55 % (10342)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.97/1.55 % (10342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.97/1.55 % (10342)Termination reason: Instruction limit 3.97/1.55 % (10342)Termination phase: Property scanning 3.97/1.55 3.97/1.55 % (10342)Time elapsed: 0.067 s 3.97/1.55 % (10342)Peak memory usage: 9 MB 3.97/1.55 % (10342)Instructions burned: 71 (million) 3.97/1.55 % (10338)Instruction limit reached! 3.97/1.55 % (10338)------------------------------ 3.97/1.55 % (10338)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.97/1.55 % (10338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.97/1.55 % (10338)Termination reason: Instruction limit 3.97/1.55 % (10338)Termination phase: Saturation 3.97/1.55 3.97/1.55 % (10338)Time elapsed: 0.170 s 3.97/1.55 % (10338)Peak memory usage: 31 MB 3.97/1.55 % (10338)Instructions burned: 227 (million) 3.97/1.59 % (10282)Running in auto input_syntax mode. Trying TPTP 3.97/1.59 % (10355)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=1194579186:i=307:rtra=on:gtg=exists_top_1188 on theBenchmark for (1188ds/307Mi) 3.97/1.59 % (10282)Running in auto input_syntax mode. Trying TPTP 3.97/1.59 % (10352)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=382825379:i=131:rtra=on_1189 on theBenchmark for (1189ds/131Mi) 3.97/1.59 % (10345)Instruction limit reached! 3.97/1.59 % (10345)------------------------------ 3.97/1.59 % (10345)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.97/1.59 % (10345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.97/1.59 % (10345)Termination reason: Instruction limit 3.97/1.59 % (10345)Termination phase: Saturation 3.97/1.59 3.97/1.59 % (10345)Time elapsed: 0.170 s 3.97/1.59 % (10345)Peak memory usage: 12 MB 3.97/1.59 % (10345)Instructions burned: 295 (million) 4.56/1.60 % (10347)Instruction limit reached! 4.56/1.60 % (10347)------------------------------ 4.56/1.60 % (10347)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 4.56/1.60 % (10347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.56/1.60 % (10347)Termination reason: Instruction limit 4.56/1.60 % (10347)Termination phase: Saturation 4.56/1.60 4.56/1.60 % (10347)Time elapsed: 0.076 s 4.56/1.60 % (10347)Peak memory usage: 29 MB 4.56/1.60 % (10347)Instructions burned: 131 (million) 4.56/1.64 % (10282)Running in auto input_syntax mode. Trying TPTP 4.56/1.64 % (10357)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=1677391292:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_1187 on theBenchmark for (1187ds/598Mi) 4.56/1.67 % (10282)Running in auto input_syntax mode. Trying TPTP 4.56/1.67 % (10353)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=464534787:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_1188 on theBenchmark for (1188ds/40Mi) 5.25/1.74 % (10355)Instruction limit reached! 5.25/1.74 % (10355)------------------------------ 5.25/1.74 % (10355)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 5.25/1.74 % (10355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.25/1.74 % (10355)Termination reason: Instruction limit 5.25/1.74 % (10355)Termination phase: Saturation 5.25/1.74 5.25/1.74 % (10355)Time elapsed: 0.150 s 5.25/1.74 % (10355)Peak memory usage: 12 MB 5.25/1.74 % (10355)Instructions burned: 307 (million) 5.25/1.74 % (10353)Instruction limit reached! 5.25/1.74 % (10353)------------------------------ 5.25/1.74 % (10353)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 5.25/1.74 % (10353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.25/1.74 % (10353)Termination reason: Instruction limit 5.25/1.74 % (10353)Termination phase: Property scanning 5.25/1.74 5.25/1.74 % (10353)Time elapsed: 0.074 s 5.25/1.74 % (10353)Peak memory usage: 7 MB 5.25/1.74 % (10353)Instructions burned: 40 (million) 5.25/1.75 % (10352)Instruction limit reached! 5.25/1.75 % (10352)------------------------------ 5.25/1.75 % (10352)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 5.25/1.75 % (10352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.25/1.75 % (10352)Termination reason: Instruction limit 5.25/1.75 % (10352)Termination phase: Saturation 5.25/1.75 5.25/1.75 % (10352)Time elapsed: 0.165 s 5.25/1.75 % (10352)Peak memory usage: 48 MB 5.25/1.75 % (10352)Instructions burned: 132 (million) 5.64/1.79 % (10282)Running in auto input_syntax mode. Trying TPTP 5.64/1.79 % (10358)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=802518945:i=131:canc=cautious:fsr=off:rtra=on_1187 on theBenchmark for (1187ds/131Mi) 5.64/1.80 % (10282)Running in auto input_syntax mode. Trying TPTP 5.64/1.80 % (10362)dis+10_1_si=on:random_seed=3805463053:s2a=on:i=1000:rtra=on:gtg=exists_all_1187 on theBenchmark for (1187ds/1000Mi) 5.64/1.82 % (10282)Running in auto input_syntax mode. Trying TPTP 5.64/1.82 % (10365)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=2656401266:i=383:fsr=off:rtra=on:ev=force_1186 on theBenchmark for (1186ds/383Mi) 5.76/1.86 % (10282)Running in auto input_syntax mode. Trying TPTP 5.76/1.86 % (10361)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=4143617284:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_1187 on theBenchmark for (1187ds/259Mi) 5.76/1.90 % (10282)Running in auto input_syntax mode. Trying TPTP 5.76/1.90 % (10366)lrs+10_1_to=kbo:sil=64000:norm_ineq=on:si=on:sp=unary_frequency:random_seed=3006471218:i=141:doe=on:rtra=on_1186 on theBenchmark for (1186ds/141Mi) 5.95/1.95 % (10282)Running in auto input_syntax mode. Trying TPTP 5.95/1.95 % (10367)lrs+10_1024_to=kbo:sil=128000:norm_ineq=on:fde=unused:sas=z3:si=on:sos=on:tha=off:random_seed=1757627979:i=65:nm=16:rtra=on_1185 on theBenchmark for (1185ds/65Mi) 6.10/1.97 % (10358)Instruction limit reached! 6.10/1.97 % (10358)------------------------------ 6.10/1.97 % (10358)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.10/1.97 % (10358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.10/1.97 % (10358)Termination reason: Instruction limit 6.10/1.97 % (10358)Termination phase: Saturation 6.10/1.97 6.10/1.97 % (10358)Time elapsed: 0.179 s 6.10/1.97 % (10358)Peak memory usage: 31 MB 6.10/1.97 % (10358)Instructions burned: 132 (million) 6.10/1.98 % (10366)Instruction limit reached! 6.10/1.98 % (10366)------------------------------ 6.10/1.98 % (10366)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.10/1.98 % (10366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.10/1.98 % (10366)Termination reason: Instruction limit 6.10/1.98 % (10366)Termination phase: Saturation 6.10/1.98 6.10/1.98 % (10366)Time elapsed: 0.073 s 6.10/1.98 % (10366)Peak memory usage: 11 MB 6.10/1.98 % (10366)Instructions burned: 141 (million) 6.10/2.02 % (10357)Instruction limit reached! 6.10/2.02 % (10357)------------------------------ 6.10/2.02 % (10357)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.10/2.02 % (10357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.10/2.02 % (10357)Termination reason: Instruction limit 6.10/2.02 % (10357)Termination phase: Saturation 6.10/2.02 6.10/2.02 % (10357)Time elapsed: 0.374 s 6.10/2.02 % (10357)Peak memory usage: 52 MB 6.10/2.02 % (10357)Instructions burned: 598 (million) 6.10/2.02 % (10367)Instruction limit reached! 6.10/2.02 % (10367)------------------------------ 6.10/2.02 % (10367)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.10/2.02 % (10367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.10/2.02 % (10367)Termination reason: Instruction limit 6.10/2.02 % (10367)Termination phase: Property scanning 6.10/2.02 6.10/2.02 % (10367)Time elapsed: 0.070 s 6.10/2.02 % (10367)Peak memory usage: 9 MB 6.10/2.02 % (10367)Instructions burned: 65 (million) 6.10/2.03 % (10365)Instruction limit reached! 6.10/2.03 % (10365)------------------------------ 6.10/2.03 % (10365)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.10/2.03 % (10365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.10/2.03 % (10365)Termination reason: Instruction limit 6.10/2.03 % (10365)Termination phase: Saturation 6.10/2.03 6.10/2.03 % (10365)Time elapsed: 0.215 s 6.10/2.03 % (10365)Peak memory usage: 14 MB 6.10/2.03 % (10365)Instructions burned: 384 (million) 6.91/2.13 % (10361)Instruction limit reached! 6.91/2.13 % (10361)------------------------------ 6.91/2.13 % (10361)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.91/2.13 % (10361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.91/2.13 % (10361)Termination reason: Instruction limit 6.91/2.13 % (10361)Termination phase: Saturation 6.91/2.13 6.91/2.13 % (10361)Time elapsed: 0.270 s 6.91/2.13 % (10361)Peak memory usage: 31 MB 6.91/2.13 % (10361)Instructions burned: 259 (million) 6.91/2.13 % (10282)Running in auto input_syntax mode. Trying TPTP 6.91/2.13 % (10374)dis+10_1_to=kbo:sil=128000:tgt=ground:fde=unused:si=on:tha=some:sac=on:random_seed=2344109168:i=121:nm=16:rtra=on_1183 on theBenchmark for (1183ds/121Mi) 6.94/2.15 % (10282)Running in auto input_syntax mode. Trying TPTP 6.94/2.15 % (10375)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=3387448016:s2a=on:i=128:s2at=5:ins=3:rtra=on_1183 on theBenchmark for (1183ds/128Mi) 6.94/2.20 % (10282)Running in auto input_syntax mode. Trying TPTP 6.94/2.20 % (10376)ott-1_8:1_tgt=ground:plsq=on:plsqc=2:sas=z3:si=on:plsqr=3,1:sos=on:inw=on:flr=on:random_seed=3085340528:i=39:ins=3:rtra=on_1183 on theBenchmark for (1183ds/39Mi) 6.96/2.24 % (10376)Instruction limit reached! 6.96/2.24 % (10376)------------------------------ 6.96/2.24 % (10376)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.96/2.24 % (10376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.96/2.24 % (10376)Termination reason: Instruction limit 6.96/2.24 % (10376)Termination phase: Preprocessing 3 6.96/2.24 6.96/2.24 % (10376)Time elapsed: 0.042 s 6.96/2.24 % (10376)Peak memory usage: 8 MB 6.96/2.24 % (10376)Instructions burned: 40 (million) 6.96/2.26 % (10374)Instruction limit reached! 6.96/2.26 % (10374)------------------------------ 6.96/2.26 % (10374)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.96/2.26 % (10374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.96/2.26 % (10374)Termination reason: Instruction limit 6.96/2.26 % (10374)Termination phase: Saturation 6.96/2.26 6.96/2.26 % (10374)Time elapsed: 0.128 s 6.96/2.26 % (10374)Peak memory usage: 10 MB 6.96/2.26 % (10374)Instructions burned: 122 (million) 6.96/2.28 % (10375)Instruction limit reached! 6.96/2.28 % (10375)------------------------------ 6.96/2.28 % (10375)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.96/2.28 % (10375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.96/2.28 % (10375)Termination reason: Instruction limit 6.96/2.28 % (10375)Termination phase: Saturation 6.96/2.28 6.96/2.28 % (10375)Time elapsed: 0.127 s 6.96/2.28 % (10375)Peak memory usage: 10 MB 6.96/2.28 % (10375)Instructions burned: 128 (million) 7.64/2.31 % (10282)Running in auto input_syntax mode. Trying TPTP 7.64/2.31 % (10380)lrs+1002_8_to=kbo:sil=128000:thi=all:drc=ordering:sas=z3:si=on:tha=off:rp=on:random_seed=1392709194:s2a=on:i=483:doe=on:nm=32:rtra=on_1182 on theBenchmark for (1182ds/483Mi) 7.64/2.31 % (10282)Running in auto input_syntax mode. Trying TPTP 7.64/2.31 % (10377)dis+1010_1_to=kbo:si=on:random_seed=2635416993:i=175:doe=on:nm=0:rtra=on:gtg=exists_sym:ss=axioms:ev=cautious_1183 on theBenchmark for (1183ds/175Mi) 7.64/2.36 % (10282)Running in auto input_syntax mode. Trying TPTP 7.64/2.36 % (10378)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1848164480:i=329:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_1183 on theBenchmark for (1183ds/329Mi) 7.88/2.41 % (10282)Running in auto input_syntax mode. Trying TPTP 7.88/2.41 % (10384)lrs+1011_1_to=kbo:sil=128000:norm_ineq=on:sas=z3:si=on:sp=unary_frequency:tha=off:random_seed=2455559699:i=349:rtra=on_1180 on theBenchmark for (1180ds/349Mi) 7.94/2.44 % (10282)Running in auto input_syntax mode. Trying TPTP 7.94/2.44 % (10383)lrs+10_40_anc=all:to=kbo:tgt=ground:thi=overlap:sas=z3:si=on:thigen=on:random_seed=1055772460:thitd=on:i=215:nm=0:rtra=on:ev=force_1181 on theBenchmark for (1181ds/215Mi) 7.94/2.47 % (10282)Running in auto input_syntax mode. Trying TPTP 7.94/2.47 % (10385)dis+1011_1_to=kbo:sil=128000:drc=off:si=on:br=off:random_seed=1591667325:st=2:i=295:rtra=on:ss=axioms_1180 on theBenchmark for (1180ds/295Mi) 8.33/2.65 % (10377)Instruction limit reached! 8.33/2.65 % (10377)------------------------------ 8.33/2.65 % (10377)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 8.33/2.65 % (10377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 8.33/2.65 % (10377)Termination reason: Instruction limit 8.33/2.65 % (10377)Termination phase: Saturation 8.33/2.65 8.33/2.65 % (10377)Time elapsed: 0.338 s 8.33/2.65 % (10377)Peak memory usage: 10 MB 8.33/2.65 % (10377)Instructions burned: 175 (million) 8.61/2.71 % (10383)Instruction limit reached! 8.61/2.71 % (10383)------------------------------ 8.61/2.71 % (10383)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 8.61/2.71 % (10383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 8.61/2.71 % (10383)Termination reason: Instruction limit 8.61/2.71 % (10383)Termination phase: Saturation 8.61/2.71 8.61/2.71 % (10383)Time elapsed: 0.271 s 8.61/2.71 % (10383)Peak memory usage: 50 MB 8.61/2.71 % (10383)Instructions burned: 215 (million) 8.69/2.77 % (10385)Instruction limit reached! 8.69/2.77 % (10385)------------------------------ 8.69/2.77 % (10385)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 8.69/2.77 % (10385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 8.69/2.77 % (10385)Termination reason: Instruction limit 8.69/2.77 % (10385)Termination phase: Saturation 8.69/2.77 8.69/2.77 % (10385)Time elapsed: 0.293 s 8.69/2.77 % (10385)Peak memory usage: 11 MB 8.69/2.77 % (10385)Instructions burned: 295 (million) 9.07/2.82 % (10384)Instruction limit reached! 9.07/2.82 % (10384)------------------------------ 9.07/2.82 % (10384)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 9.07/2.82 % (10384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 9.07/2.82 % (10384)Termination reason: Instruction limit 9.07/2.82 % (10384)Termination phase: Saturation 9.07/2.82 9.07/2.82 % (10384)Time elapsed: 0.402 s 9.07/2.82 % (10384)Peak memory usage: 32 MB 9.07/2.82 % (10384)Instructions burned: 350 (million) 9.42/2.92 % (10282)Running in auto input_syntax mode. Trying TPTP 9.42/2.92 % (10393)dis+1010_1_to=lpo:sil=128000:sas=z3:si=on:nwc=5:random_seed=1843717799:i=281:gtgl=2:rtra=on:gtg=all_1176 on theBenchmark for (1176ds/281Mi) 9.42/2.94 % (10282)Running in auto input_syntax mode. Trying TPTP 9.42/2.94 % (10394)lrs+1010_1_to=kbo:sil=128000:si=on:sos=on:urr=on:uwa=alasca_main:random_seed=753801041:i=484:doe=on:nm=0:av=off:rtra=on:ss=axioms_1175 on theBenchmark for (1175ds/484Mi) 9.42/2.98 % (10282)Running in auto input_syntax mode. Trying TPTP 9.42/2.98 % (10392)dis+1010_1_to=kbo:sil=128000:tgt=ground:drc=ordering:sas=z3:si=on:spb=goal:abs=on:nwc=5:br=off:random_seed=2011173962:i=328:kws=inv_frequency:nm=20:rtra=on_1177 on theBenchmark for (1177ds/328Mi) 9.42/2.99 % (10378)Instruction limit reached! 9.42/2.99 % (10378)------------------------------ 9.42/2.99 % (10378)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 9.42/2.99 % (10378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 9.42/2.99 % (10378)Termination reason: Instruction limit 9.42/2.99 % (10378)Termination phase: Saturation 9.42/2.99 9.42/2.99 % (10378)Time elapsed: 0.628 s 9.42/2.99 % (10378)Peak memory usage: 31 MB 9.42/2.99 % (10378)Instructions burned: 329 (million) 9.42/2.99 % (10282)Running in auto input_syntax mode. Trying TPTP 9.42/2.99 % (10395)lrs+21_1_to=kbo:sil=128000:thi=neg_eq:si=on:random_seed=3843064191:i=321:canc=force:rtra=on:tac=axiom:ss=axioms:ev=force_1175 on theBenchmark for (1175ds/321Mi) 9.42/3.00 % (10380)Instruction limit reached! 9.42/3.00 % (10380)------------------------------ 9.42/3.00 % (10380)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 9.42/3.00 % (10380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 9.42/3.00 % (10380)Termination reason: Instruction limit 9.42/3.00 % (10380)Termination phase: Saturation 9.42/3.00 9.42/3.00 % (10380)Time elapsed: 0.685 s 9.42/3.00 % (10380)Peak memory usage: 50 MB 9.42/3.00 % (10380)Instructions burned: 484 (million) 10.14/3.21 % (10282)Running in auto input_syntax mode. Trying TPTP 10.14/3.21 % (10401)lrs+1010_1_to=kbo:tgt=ground:fde=unused:sas=z3:si=on:sp=unary_frequency:gve=force:spb=goal:tha=off:random_seed=1401141136:i=471:thf=on:kws=precedence:rtra=on_1173 on theBenchmark for (1173ds/471Mi) 10.14/3.21 % (10393)Instruction limit reached! 10.14/3.21 % (10393)------------------------------ 10.14/3.21 % (10393)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 10.14/3.21 % (10393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.14/3.21 % (10393)Termination reason: Instruction limit 10.14/3.21 % (10393)Termination phase: Saturation 10.14/3.21 10.14/3.21 % (10393)Time elapsed: 0.292 s 10.14/3.21 % (10393)Peak memory usage: 31 MB 10.14/3.21 % (10393)Instructions burned: 281 (million) 10.33/3.30 % (10362)Instruction limit reached! 10.33/3.30 % (10362)------------------------------ 10.33/3.30 % (10362)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 10.33/3.30 % (10362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.33/3.30 % (10362)Termination reason: Instruction limit 10.33/3.30 % (10362)Termination phase: Saturation 10.33/3.30 10.33/3.30 % (10362)Time elapsed: 1.503 s 10.33/3.30 % (10362)Peak memory usage: 12 MB 10.33/3.30 % (10362)Instructions burned: 1000 (million) 10.33/3.30 % (10282)Running in auto input_syntax mode. Trying TPTP 10.33/3.30 % (10400)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=2578703378:i=416:rtra=on:gtg=position:ss=axioms_1173 on theBenchmark for (1173ds/416Mi) 10.41/3.33 % (10395)Instruction limit reached! 10.41/3.33 % (10395)------------------------------ 10.41/3.33 % (10395)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 10.41/3.33 % (10395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.41/3.33 % (10395)Termination reason: Instruction limit 10.41/3.33 % (10395)Termination phase: Saturation 10.41/3.33 10.41/3.33 % (10395)Time elapsed: 0.345 s 10.41/3.33 % (10395)Peak memory usage: 30 MB 10.41/3.33 % (10395)Instructions burned: 321 (million) 10.41/3.37 % (10394)Instruction limit reached! 10.41/3.37 % (10394)------------------------------ 10.41/3.37 % (10394)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 10.41/3.37 % (10394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.41/3.37 % (10394)Termination reason: Instruction limit 10.41/3.37 % (10394)Termination phase: Saturation 10.41/3.37 10.41/3.37 % (10394)Time elapsed: 0.430 s 10.41/3.37 % (10394)Peak memory usage: 11 MB 10.41/3.37 % (10394)Instructions burned: 485 (million) 10.50/3.44 % (10282)Running in auto input_syntax mode. Trying TPTP 10.50/3.44 % (10406)lrs+10_1_to=kbo:sil=128000:tgt=full:sas=z3:si=on:uwa=func_ext:slsqc=1:flr=on:slsq=on:random_seed=2843683160:i=387:bd=preordered:rtra=on:ss=axioms:sgt=8_1170 on theBenchmark for (1170ds/387Mi) 10.50/3.46 % (10282)Running in auto input_syntax mode. Trying TPTP 10.50/3.46 % (10403)lrs+1011_607:55_to=lpo:sil=64000:pum=on:thi=overlap:sas=z3:si=on:sp=const_min:spb=goal_then_units:tha=some:newcnf=on:random_seed=1504215068:avsq=on:i=276:avsqr=1,2:rtra=on_1171 on theBenchmark for (1171ds/276Mi) 10.53/3.49 % (10400)First to succeed. 10.53/3.50 % (10400)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10282" 10.53/3.51 % (10282)Running in auto input_syntax mode. Trying TPTP 10.53/3.51 % (10400)Refutation found. Thanks to Tanya! 10.53/3.51 % SZS status Theorem for theBenchmark 10.53/3.51 % SZS output start Proof for theBenchmark 10.53/3.51 tff(type_def_5, type, 'A_set_list_bool_fun$': $tType). 10.53/3.51 tff(type_def_6, type, 'Int_bool_fun$': $tType). 10.53/3.51 tff(type_def_7, type, 'A_set_list_a_set_list_fun$': $tType). 10.53/3.51 tff(type_def_8, type, 'A_ltln_a_ltln_a_set_a_ltln_fun_fun_fun$': $tType). 10.53/3.51 tff(type_def_9, type, 'Nat_nat_bool_fun_fun$': $tType). 10.53/3.51 tff(type_def_10, type, 'A_ltln_a_ltln_fun$': $tType). 10.53/3.51 tff(type_def_11, type, 'Int_int_fun$': $tType). 10.53/3.51 tff(type_def_12, type, 'A_set_list_a_set_list_list_fun$': $tType). 10.53/3.51 tff(type_def_13, type, 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$': $tType). 10.53/3.51 tff(type_def_14, type, 'Nat_nat_fun$': $tType). 10.53/3.51 tff(type_def_15, type, 'A_set_list_list$': $tType). 10.53/3.51 tff(type_def_16, type, 'Nat$': $tType). 10.53/3.51 tff(type_def_17, type, 'Nat_a_ltln_a_ltln_bool_fun_fun_fun$': $tType). 10.53/3.51 tff(type_def_18, type, 'A_ltln_a_ltln_bool_fun_fun_int_fun$': $tType). 10.53/3.51 tff(type_def_19, type, 'Int_a_ltln_a_ltln_bool_fun_fun_fun$': $tType). 10.53/3.51 tff(type_def_20, type, 'A_ltln_bool_fun_a_ltln_a_ltln_bool_fun_fun_fun$': $tType). 10.53/3.51 tff(type_def_21, type, 'A_set_list_a_set_list_bool_fun_fun$': $tType). 10.53/3.51 tff(type_def_22, type, tlbool: $tType). 10.53/3.51 tff(type_def_23, type, 'Nat_a_set_list_fun$': $tType). 10.53/3.51 tff(type_def_24, type, 'A_set_a_ltln_fun$': $tType). 10.53/3.51 tff(type_def_25, type, 'A_ltln_bool_fun$': $tType). 10.53/3.51 tff(type_def_26, type, 'A_set$': $tType). 10.53/3.51 tff(type_def_27, type, 'A_ltln_set$': $tType). 10.53/3.51 tff(type_def_28, type, 'A_set_list$': $tType). 10.53/3.51 tff(type_def_29, type, 'A_ltln$': $tType). 10.53/3.51 tff(type_def_30, type, 'A_ltln_a_ltln_bool_fun_fun_a_ltln_bool_fun_fun$': $tType). 10.53/3.51 tff(type_def_31, type, 'A_ltln_bool_fun_int_fun$': $tType). 10.53/3.51 tff(type_def_32, type, 'Nat_a_set_fun$': $tType). 10.53/3.51 tff(type_def_33, type, 'A_ltln_bool_fun_a_ltln_bool_fun_fun$': $tType). 10.53/3.51 tff(type_def_34, type, 'Int_int_bool_fun_fun$': $tType). 10.53/3.51 tff(type_def_35, type, 'Int_a_ltln_bool_fun_fun$': $tType). 10.53/3.51 tff(type_def_36, type, 'Nat_bool_fun$': $tType). 10.53/3.51 tff(type_def_37, type, 'A_ltln_a_set_a_ltln_fun_fun$': $tType). 10.53/3.51 tff(type_def_38, type, 'Nat_int_fun$': $tType). 10.53/3.51 tff(type_def_39, type, 'A_ltln_a_ltln_bool_fun_fun$': $tType). 10.53/3.51 tff(type_def_40, type, 'A_set_list_a_ltln_fun$': $tType). 10.53/3.51 tff(func_def_0, type, 'uua$': 'Int_int_bool_fun_fun$'). 10.53/3.51 tff(func_def_1, type, 'w$': 'Nat_a_set_fun$'). 10.53/3.51 tff(func_def_2, type, 'af_letter$': 'A_ltln_a_set_a_ltln_fun_fun$'). 10.53/3.51 tff(func_def_3, type, 'fun_app$m': ('Nat_nat_fun$' * 'Nat$') > 'Nat$'). 10.53/3.51 tff(func_def_4, type, 'uu$': 'A_ltln_set$' > 'A_ltln_bool_fun$'). 10.53/3.51 tff(func_def_5, type, 'false_ltln$': 'A_ltln$'). 10.53/3.51 tff(func_def_6, type, 'fun_app$p': ('A_ltln_bool_fun_int_fun$' * 'A_ltln_bool_fun$') > $int). 10.53/3.51 tff(func_def_7, type, 'nil$': 'A_set_list$'). 10.53/3.51 tff(func_def_8, type, 'append$': 'A_set_list$' > 'A_set_list_a_set_list_fun$'). 10.53/3.51 tff(func_def_9, type, 'fun_app$g': ('Nat_int_fun$' * 'Nat$') > $int). 10.53/3.51 tff(func_def_10, type, 'cons$a': ('A_set_list$' * 'A_set_list_list$') > 'A_set_list_list$'). 10.53/3.51 tff(func_def_11, type, 'fun_app$f': ('Nat_a_set_list_fun$' * 'Nat$') > 'A_set_list$'). 10.53/3.51 tff(func_def_12, type, 'fun_app$h': ('A_ltln_a_ltln_a_set_a_ltln_fun_fun_fun$' * 'A_ltln$') > 'A_ltln_a_set_a_ltln_fun_fun$'). 10.53/3.51 tff(func_def_13, type, 'nil$a': 'A_set_list_list$'). 10.53/3.51 tff(func_def_14, type, 'cons$': ('A_set$' * 'A_set_list$') > 'A_set_list$'). 10.53/3.51 tff(func_def_15, type, 'mu_LTL$': 'A_ltln_set$'). 10.53/3.51 tff(func_def_16, type, 'fun_app$d': ('A_set_list_a_ltln_fun$' * 'A_set_list$') > 'A_ltln$'). 10.53/3.51 tff(func_def_17, type, 'of_nat$': 'Nat_int_fun$'). 10.53/3.51 tff(func_def_18, type, 'fun_app$a': ('Int_int_bool_fun_fun$' * $int) > 'Int_bool_fun$'). 10.53/3.51 tff(func_def_19, type, 'product_lists$': 'A_set_list_list$' > 'A_set_list_list$'). 10.53/3.51 tff(func_def_20, type, 'collect$': 'A_ltln_bool_fun$' > 'A_ltln_set$'). 10.53/3.51 tff(func_def_21, type, 'fun_app$x': ('A_set_list_a_set_list_bool_fun_fun$' * 'A_set_list$') > 'A_set_list_bool_fun$'). 10.53/3.51 tff(func_def_22, type, 'fun_app$c': ('A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$') > 'A_ltln_bool_fun$'). 10.53/3.51 tff(func_def_23, type, 'fun_app$s': ('Int_int_fun$' * $int) > $int). 10.53/3.51 tff(func_def_24, type, tltrue: tlbool). 10.53/3.51 tff(func_def_25, type, 'af_letter_F$': 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln_a_ltln_a_set_a_ltln_fun_fun_fun$'). 10.53/3.51 tff(func_def_26, type, 'ltl_prop_equiv$': 'A_ltln_a_ltln_bool_fun_fun$'). 10.53/3.51 tff(func_def_27, type, 'ltl_const_equiv$': 'A_ltln_a_ltln_bool_fun_fun$'). 10.53/3.51 tff(func_def_28, type, 'fun_app$y': ('A_set_list_a_set_list_list_fun$' * 'A_set_list$') > 'A_set_list_list$'). 10.53/3.51 tff(func_def_29, type, 'eq$': 'A_ltln_a_ltln_bool_fun_fun$'). 10.53/3.51 tff(func_def_30, type, 'until_ltln$': 'A_ltln$' > 'A_ltln_a_ltln_fun$'). 10.53/3.51 tff(func_def_31, type, 'fun_app$j': ('A_ltln_a_set_a_ltln_fun_fun$' * 'A_ltln$') > 'A_set_a_ltln_fun$'). 10.53/3.51 tff(func_def_32, type, 'foldl$': ('A_ltln_a_set_a_ltln_fun_fun$' * 'A_ltln$') > 'A_set_list_a_ltln_fun$'). 10.53/3.51 tff(func_def_33, type, 'ltl_lang_equiv$': 'A_ltln_a_ltln_bool_fun_fun$'). 10.53/3.51 tff(func_def_34, type, 'fun_app$u': ('A_ltln_a_ltln_bool_fun_fun_int_fun$' * 'A_ltln_a_ltln_bool_fun_fun$') > $int). 10.53/3.51 tff(func_def_35, type, 'fun_app$k': ('A_set_list_a_set_list_fun$' * 'A_set_list$') > 'A_set_list$'). 10.53/3.51 tff(func_def_36, type, 'fun_app$e': ('A_ltln_a_ltln_fun$' * 'A_ltln$') > 'A_ltln$'). 10.53/3.51 tff(func_def_37, type, 'true_ltln$': 'A_ltln$'). 10.53/3.51 tff(func_def_38, type, 'fun_app$o': ('A_ltln_a_ltln_bool_fun_fun_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$') > 'A_ltln_bool_fun$'). 10.53/3.51 tff(func_def_39, type, 'ltl_prop_implies$': 'A_ltln_a_ltln_bool_fun_fun$'). 10.53/3.51 tff(func_def_40, type, 'semantics_ltln$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$'). 10.53/3.51 tff(func_def_41, type, 'n_lists$': 'Nat$' > 'A_set_list_a_set_list_list_fun$'). 10.53/3.51 tff(func_def_42, type, tlfalse: tlbool). 10.53/3.51 tff(func_def_43, type, 'fun_app$ab': ('Nat_nat_bool_fun_fun$' * 'Nat$') > 'Nat_bool_fun$'). 10.53/3.51 tff(func_def_44, type, 'fun_app$v': ('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$'). 10.53/3.51 tff(func_def_45, type, 'nat$': $int > 'Nat$'). 10.53/3.51 tff(func_def_46, type, 'fun_app$q': ('A_ltln_bool_fun_a_ltln_a_ltln_bool_fun_fun_fun$' * 'A_ltln_bool_fun$') > 'A_ltln_a_ltln_bool_fun_fun$'). 10.53/3.51 tff(func_def_47, type, 'fun_app$aa': ('Nat_a_ltln_a_ltln_bool_fun_fun_fun$' * 'Nat$') > 'A_ltln_a_ltln_bool_fun_fun$'). 10.53/3.51 tff(func_def_48, type, 'nu_LTL$': 'A_ltln_set$'). 10.53/3.51 tff(func_def_49, type, 'fun_app$n': ('Int_a_ltln_bool_fun_fun$' * $int) > 'A_ltln_bool_fun$'). 10.53/3.51 tff(func_def_50, type, 'fun_app$z': ('Nat_a_set_fun$' * 'Nat$') > 'A_set$'). 10.53/3.51 tff(func_def_51, type, 'fun_app$r': ('A_ltln_bool_fun_a_ltln_bool_fun_fun$' * 'A_ltln_bool_fun$') > 'A_ltln_bool_fun$'). 10.53/3.51 tff(func_def_52, type, 'subsequence$': ('Nat_a_set_fun$' * 'Nat$') > 'Nat_a_set_list_fun$'). 10.53/3.51 tff(func_def_53, type, 'fun_app$t': ('Int_a_ltln_a_ltln_bool_fun_fun_fun$' * $int) > 'A_ltln_a_ltln_bool_fun_fun$'). 10.53/3.51 tff(func_def_54, type, 'af_letter_G$': 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln_a_ltln_a_set_a_ltln_fun_fun_fun$'). 10.53/3.51 tff(func_def_55, type, 'fun_app$i': ('A_set_a_ltln_fun$' * 'A_set$') > 'A_ltln$'). 10.53/3.51 tff(func_def_56, type, 'release_ltln$': 'A_ltln$' > 'A_ltln_a_ltln_fun$'). 10.53/3.51 tff(func_def_57, type, 'phi$': 'A_ltln$'). 10.53/3.51 tff(func_def_61, type, sK3: ('Nat_a_set_fun$' * 'A_ltln$') > 'Nat$'). 10.53/3.51 tff(func_def_62, type, sK4: ('A_ltln$' * 'Nat_a_set_fun$') > 'Nat$'). 10.53/3.51 tff(func_def_63, type, sK5: 'A_set_list$' > 'A_set$'). 10.53/3.51 tff(func_def_64, type, sK6: 'A_set_list$' > 'A_set$'). 10.53/3.51 tff(func_def_65, type, sK7: 'A_set_list$' > 'A_set_list$'). 10.53/3.51 tff(func_def_66, type, sK8: 'A_set_list$' > 'A_set$'). 10.53/3.51 tff(func_def_67, type, sK9: ('A_ltln$' * 'Nat_a_set_fun$' * 'Nat$') > 'Nat$'). 10.53/3.51 tff(func_def_68, type, sK10: ('A_ltln$' * 'Nat_a_set_fun$') > 'Nat$'). 10.53/3.51 tff(func_def_69, type, sK11: ('Nat_a_set_fun$' * 'A_ltln$') > 'Nat$'). 10.53/3.51 tff(func_def_70, type, sK12: ('A_ltln$' * 'A_ltln$') > 'Nat_a_set_fun$'). 10.53/3.51 tff(func_def_71, type, sK13: ('A_ltln$' * 'Nat_a_set_fun$') > 'Nat$'). 10.53/3.51 tff(func_def_72, type, sK14: 'Nat$' > 'Nat$'). 10.53/3.51 tff(func_def_73, type, sK15: 'Nat$' > 'Nat$'). 10.53/3.51 tff(func_def_74, type, sK16: 'Nat$'). 10.53/3.51 tff(func_def_75, type, sK17: 'Nat$'). 10.53/3.51 tff(func_def_76, type, sK18: ('A_set_list$' * 'A_set_list$' * 'A_set_list$' * 'A_set_list$') > 'A_set_list$'). 10.53/3.51 tff(func_def_77, type, sK19: ('A_set_list$' * 'A_set$' * 'A_set_list$' * 'A_set_list$') > 'A_set_list$'). 10.53/3.51 tff(func_def_78, type, sK20: ('Nat_a_set_fun$' * 'A_ltln$' * 'Nat$') > 'Nat$'). 10.53/3.51 tff(func_def_79, type, sK21: ('Nat_a_set_fun$' * 'A_ltln$') > 'Nat$'). 10.53/3.51 tff(func_def_80, type, sK22: 'A_set_list$' > 'A_set$'). 10.53/3.51 tff(func_def_81, type, sK23: 'A_set_list$' > 'A_set_list$'). 10.53/3.51 tff(func_def_82, type, sK24: ('A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' * 'Nat_a_set_fun$') > 'Nat$'). 10.53/3.51 tff(func_def_83, type, sK25: ('A_ltln$' * 'Nat_a_set_fun$') > 'Nat$'). 10.53/3.51 tff(func_def_84, type, sK26: 'A_set_list$' > 'A_set$'). 10.53/3.51 tff(func_def_85, type, sK27: 'A_set_list$' > 'A_set_list$'). 10.53/3.51 tff(func_def_86, type, sK28: 'A_set_list$' > 'A_set$'). 10.53/3.51 tff(func_def_87, type, sK29: 'A_set_list$' > 'A_set_list$'). 10.53/3.51 tff(func_def_88, type, sK30: ('Nat_a_set_fun$' * 'A_ltln$' * 'A_ltln_a_ltln_bool_fun_fun$') > 'Nat$'). 10.53/3.51 tff(func_def_89, type, sK31: 'A_set_list$' > 'A_set_list$'). 10.53/3.51 tff(func_def_90, type, sK32: 'A_set_list$' > 'A_set$'). 10.53/3.51 tff(func_def_91, type, sK33: ('A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$') > 'A_ltln$'). 10.53/3.51 tff(func_def_92, type, sK34: ('A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$') > 'A_ltln$'). 10.53/3.51 tff(func_def_93, type, sK35: 'Nat$' > 'Nat$'). 10.53/3.51 tff(func_def_94, type, sK36: 'Nat$'). 10.53/3.51 tff(func_def_95, type, sK37: $int > $int). 10.53/3.51 tff(func_def_96, type, sK38: ('Nat_a_set_fun$' * 'A_ltln$') > 'Nat$'). 10.53/3.51 tff(func_def_97, type, sK39: ('Nat_a_set_fun$' * 'A_ltln$' * 'Nat$') > 'Nat$'). 10.53/3.51 tff(func_def_98, type, sK40: $int > $int). 10.53/3.51 tff(func_def_99, type, sK41: ('Nat_a_set_fun$' * 'A_ltln$') > 'Nat$'). 10.53/3.51 tff(func_def_100, type, sK42: ('A_set$' * 'A_set_list$' * 'A_set_list$' * 'A_set_list$') > 'A_set_list$'). 10.53/3.51 tff(func_def_101, type, sK43: ('A_set_list$' * 'A_ltln$' * 'A_ltln$') > 'A_set_list$'). 10.53/3.51 tff(func_def_102, type, sK44: ('A_set_list$' * 'A_ltln$' * 'A_ltln$') > 'A_set_list$'). 10.53/3.51 tff(func_def_103, type, sK45: ('Nat_a_set_fun$' * 'A_ltln$') > 'Nat$'). 10.53/3.51 tff(func_def_104, type, sK46: ('Nat_a_set_fun$' * 'A_ltln$') > 'Nat$'). 10.53/3.51 tff(func_def_105, type, sK47: ('Nat_a_set_fun$' * 'A_ltln$' * 'Nat$') > 'Nat$'). 10.53/3.51 tff(func_def_106, type, sK48: ('A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$') > 'Nat$'). 10.53/3.51 tff(func_def_107, type, sK49: ('A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' * 'Nat_a_set_fun$') > 'Nat$'). 10.53/3.51 tff(func_def_108, type, sK50: ('A_ltln$' * 'Nat_a_set_fun$' * 'Nat$') > 'Nat$'). 10.53/3.51 tff(func_def_109, type, sK51: ('A_ltln$' * 'Nat_a_set_fun$') > 'Nat$'). 10.53/3.51 tff(func_def_110, type, sK52: ('A_ltln$' * 'A_set_list$' * 'A_ltln$') > 'A_set_list$'). 10.53/3.51 tff(func_def_111, type, sK53: ('A_ltln$' * 'A_set_list$' * 'A_ltln$') > 'A_set_list$'). 10.53/3.51 tff(func_def_112, type, sK54: ('A_set_list$' * 'A_ltln$') > 'A_set_list$'). 10.53/3.51 tff(func_def_113, type, sK55: ('A_set_list$' * 'A_ltln$') > 'A_set_list$'). 10.53/3.51 tff(func_def_114, type, sK56: ('Nat_a_set_fun$' * 'A_ltln$') > 'Nat$'). 10.53/3.51 tff(func_def_115, type, sK57: ('Nat_a_set_fun$' * 'A_ltln$' * 'Nat$') > 'Nat$'). 10.53/3.51 tff(func_def_116, type, sK58: ('Nat_a_set_fun$' * 'A_ltln$') > 'Nat$'). 10.53/3.51 tff(pred_def_1, type, 'less_eq$': ('A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$') > $o). 10.53/3.51 tff(pred_def_2, type, 'less$': ('A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$') > $o). 10.53/3.51 tff(pred_def_3, type, 'less$a': ('A_ltln_bool_fun$' * 'A_ltln_bool_fun$') > $o). 10.53/3.51 tff(pred_def_4, type, 'equivp$': 'A_ltln_a_ltln_bool_fun_fun$' > $o). 10.53/3.51 tff(pred_def_5, type, 'fun_app$': ('Int_bool_fun$' * $int) > $o). 10.53/3.51 tff(pred_def_6, type, 'member$': ('A_ltln$' * 'A_ltln_set$') > $o). 10.53/3.51 tff(pred_def_7, type, 'af_congruent$': 'A_ltln_a_ltln_bool_fun_fun$' > $o). 10.53/3.51 tff(pred_def_8, type, 'ltl_equivalence$': 'A_ltln_a_ltln_bool_fun_fun$' > $o). 10.53/3.51 tff(pred_def_9, type, 'fun_app$b': ('A_ltln_bool_fun$' * 'A_ltln$') > $o). 10.53/3.51 tff(pred_def_10, type, 'transition_functions$': ('A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_fun$') > $o). 10.53/3.51 tff(pred_def_11, type, 'af_congruent_axioms$': 'A_ltln_a_ltln_bool_fun_fun$' > $o). 10.53/3.51 tff(pred_def_12, type, 'fun_app$l': ('Nat_bool_fun$' * 'Nat$') > $o). 10.53/3.51 tff(pred_def_13, type, 'fun_app$w': ('A_set_list_bool_fun$' * 'A_set_list$') > $o). 10.53/3.51 tff(pred_def_14, type, 'less_eq$a': ('A_ltln_bool_fun$' * 'A_ltln_bool_fun$') > $o). 10.53/3.51 tff(pred_def_17, type, sP0: ($int * $int * $int) > $o). 10.53/3.51 tff(pred_def_18, type, sP1: ($int * $int * $int) > $o). 10.53/3.51 tff(pred_def_19, type, sP2: ($int * $int * $int) > $o). 10.53/3.51 tff(f6726,plain,( 10.53/3.51 $false), 10.53/3.51 inference(avatar_smt_refutation,[],[f2176,f2183,f2187,f3310,f3315,f3320,f3326,f3385,f3391,f3396,f3402,f3407,f3518,f3519,f3520,f3521,f3522,f3523,f3524,f3525,f3526,f3531,f3533,f3541,f3543,f3545,f3547,f3549,f3554,f3556,f3558,f3560,f3567,f3570,f3573,f3574,f3576,f3578,f3671,f3676,f3681,f3686,f3691,f3696,f3701,f3706,f3711,f3716,f3743,f3803,f3808,f3814,f3819,f4065,f4070,f4075,f4080,f4085,f4090,f4095,f4100,f4105,f4110,f5085,f5128,f5134,f5314,f5319,f5324,f5489,f5493,f5501,f5505,f5559,f5560,f5565,f5569,f5573,f5575,f5577,f5579,f5581,f5584,f5585,f6725])). 10.53/3.51 tff(f6725,plain,( 10.53/3.51 ~spl59_2 | ~spl59_4 | ~spl59_5), 10.53/3.51 inference(avatar_contradiction_clause,[],[f6724])). 10.53/3.51 tff(f6724,plain,( 10.53/3.51 $false | (~spl59_2 | ~spl59_4 | ~spl59_5)), 10.53/3.51 inference(subsumption_resolution,[],[f5743,f2186])). 10.53/3.51 tff(f2186,plain,( 10.53/3.51 ( ! [X2 : 'Nat$'] : ('fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),'phi$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$','nat$'(0)),sK15(X2)))),'false_ltln$')) ) | ~spl59_5), 10.53/3.51 inference(avatar_component_clause,[],[f2185])). 10.53/3.51 tff(f2185,definition,( 10.53/3.51 spl59_5 <=> ! [X2 : 'Nat$'] : 'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),'phi$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$','nat$'(0)),sK15(X2)))),'false_ltln$')), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_5])],[avatar_definition])). 10.53/3.51 tff(f5743,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),'phi$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$','nat$'(0)),sK15(sK17)))),'false_ltln$') | (~spl59_2 | ~spl59_4)), 10.53/3.51 inference(unit_resulting_resolution,[],[f2182,f2175])). 10.53/3.51 tff(f2175,plain,( 10.53/3.51 ( ! [X7 : 'Nat$'] : (~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),'phi$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$','nat$'(0)),X7))),'false_ltln$') | ~$less('fun_app$g'('of_nat$',sK17),'fun_app$g'('of_nat$',X7))) ) | ~spl59_2), 10.53/3.51 inference(avatar_component_clause,[],[f2174])). 10.53/3.51 tff(f2174,definition,( 10.53/3.51 spl59_2 <=> ! [X7 : 'Nat$'] : (~$less('fun_app$g'('of_nat$',sK17),'fun_app$g'('of_nat$',X7)) | ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),'phi$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$','nat$'(0)),X7))),'false_ltln$'))), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_2])],[avatar_definition])). 10.53/3.51 tff(f2182,plain,( 10.53/3.51 ( ! [X2 : 'Nat$'] : ($less('fun_app$g'('of_nat$',X2),'fun_app$g'('of_nat$',sK15(X2)))) ) | ~spl59_4), 10.53/3.51 inference(avatar_component_clause,[],[f2181])). 10.53/3.51 tff(f2181,definition,( 10.53/3.51 spl59_4 <=> ! [X2 : 'Nat$'] : $less('fun_app$g'('of_nat$',X2),'fun_app$g'('of_nat$',sK15(X2)))), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_4])],[avatar_definition])). 10.53/3.51 tff(f5585,plain,( 10.53/3.51 spl59_6 | ~spl59_27), 10.53/3.51 inference(avatar_split_clause,[],[f5582,f3741,f3307])). 10.53/3.51 tff(f3307,definition,( 10.53/3.51 spl59_6 <=> 'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')))), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_6])],[avatar_definition])). 10.53/3.51 tff(f3741,definition,( 10.53/3.51 spl59_27 <=> ! [X1 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',sK46('w$','phi$')),X1))),'false_ltln$')), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_27])],[avatar_definition])). 10.53/3.51 tff(f5582,plain,( 10.53/3.51 'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))) | ~spl59_27), 10.53/3.51 inference(subsumption_resolution,[],[f5570,f1739])). 10.53/3.51 tff(f1739,plain,( 10.53/3.51 'member$'('phi$','nu_LTL$')), 10.53/3.51 inference(cnf_transformation,[],[f220])). 10.53/3.51 tff(f220,axiom,( 10.53/3.51 'member$'('phi$','nu_LTL$')), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f5570,plain,( 10.53/3.51 ~'member$'('phi$','nu_LTL$') | 'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))) | ~spl59_27), 10.53/3.51 inference(subsumption_resolution,[],[f5547,f2033])). 10.53/3.51 tff(f2033,plain,( 10.53/3.51 'ltl_equivalence$'('eq$')), 10.53/3.51 inference(cnf_transformation,[],[f355])). 10.53/3.51 tff(f355,axiom,( 10.53/3.51 'ltl_equivalence$'('eq$')), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f5547,plain,( 10.53/3.51 ~'ltl_equivalence$'('eq$') | ~'member$'('phi$','nu_LTL$') | 'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))) | ~spl59_27), 10.53/3.51 inference(resolution,[],[f3742,f2027])). 10.53/3.51 tff(f2027,plain,( 10.53/3.51 ( ! [X2 : 'Nat_a_set_fun$',X3 : 'Nat$',X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'(X0,'fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X2,X3),sK48(X0,X1,X2,X3)))),'false_ltln$') | 'fun_app$b'('semantics_ltln$'(X2),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X1))) | ~'member$'(X1,'nu_LTL$') | ~'ltl_equivalence$'(X0)) )), 10.53/3.51 inference(cnf_transformation,[],[f1572])). 10.53/3.51 tff(f1572,plain,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$',X2 : 'Nat_a_set_fun$'] : (~'ltl_equivalence$'(X0) | ~'member$'(X1,'nu_LTL$') | (('fun_app$b'('semantics_ltln$'(X2),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X1))) | ! [X3 : 'Nat$'] : 'fun_app$b'('fun_app$c'(X0,'fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X2,X3),sK48(X0,X1,X2,X3)))),'false_ltln$')) & (! [X6 : 'Nat$'] : ~'fun_app$b'('fun_app$c'(X0,'fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X2,sK49(X0,X1,X2)),X6))),'false_ltln$') | ~'fun_app$b'('semantics_ltln$'(X2),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X1))))))), 10.53/3.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK48,sK49])],[f1569,f1571,f1570])). 10.53/3.51 tff(f1570,plain,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$',X2 : 'Nat_a_set_fun$',X3 : 'Nat$'] : (? [X4 : 'Nat$'] : 'fun_app$b'('fun_app$c'(X0,'fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X2,X3),X4))),'false_ltln$') => 'fun_app$b'('fun_app$c'(X0,'fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X2,X3),sK48(X0,X1,X2,X3)))),'false_ltln$'))), 10.53/3.51 introduced(definition,[],[choice_axiom])). 10.53/3.51 tff(f1571,plain,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$',X2 : 'Nat_a_set_fun$'] : (? [X5 : 'Nat$'] : ! [X6 : 'Nat$'] : ~'fun_app$b'('fun_app$c'(X0,'fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X2,X5),X6))),'false_ltln$') => ! [X6 : 'Nat$'] : ~'fun_app$b'('fun_app$c'(X0,'fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X2,sK49(X0,X1,X2)),X6))),'false_ltln$'))), 10.53/3.51 introduced(definition,[],[choice_axiom])). 10.53/3.51 tff(f1569,plain,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$',X2 : 'Nat_a_set_fun$'] : (~'ltl_equivalence$'(X0) | ~'member$'(X1,'nu_LTL$') | (('fun_app$b'('semantics_ltln$'(X2),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X1))) | ! [X3 : 'Nat$'] : ? [X4 : 'Nat$'] : 'fun_app$b'('fun_app$c'(X0,'fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X2,X3),X4))),'false_ltln$')) & (? [X5 : 'Nat$'] : ! [X6 : 'Nat$'] : ~'fun_app$b'('fun_app$c'(X0,'fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X2,X5),X6))),'false_ltln$') | ~'fun_app$b'('semantics_ltln$'(X2),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X1))))))), 10.53/3.51 inference(rectify,[],[f1568])). 10.53/3.51 tff(f1568,plain,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$',X2 : 'Nat_a_set_fun$'] : (~'ltl_equivalence$'(X0) | ~'member$'(X1,'nu_LTL$') | (('fun_app$b'('semantics_ltln$'(X2),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X1))) | ! [X3 : 'Nat$'] : ? [X4 : 'Nat$'] : 'fun_app$b'('fun_app$c'(X0,'fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X2,X3),X4))),'false_ltln$')) & (? [X3 : 'Nat$'] : ! [X4 : 'Nat$'] : ~'fun_app$b'('fun_app$c'(X0,'fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X2,X3),X4))),'false_ltln$') | ~'fun_app$b'('semantics_ltln$'(X2),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X1))))))), 10.53/3.51 inference(nnf_transformation,[],[f1130])). 10.53/3.51 tff(f1130,plain,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$',X2 : 'Nat_a_set_fun$'] : (~'ltl_equivalence$'(X0) | ~'member$'(X1,'nu_LTL$') | ('fun_app$b'('semantics_ltln$'(X2),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X1))) <=> ? [X3 : 'Nat$'] : ! [X4 : 'Nat$'] : ~'fun_app$b'('fun_app$c'(X0,'fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X2,X3),X4))),'false_ltln$')))), 10.53/3.51 inference(flattening,[],[f1129])). 10.53/3.51 tff(f1129,plain,( 10.53/3.51 ! [X1 : 'A_ltln$',X2 : 'Nat_a_set_fun$',X0 : 'A_ltln_a_ltln_bool_fun_fun$'] : (('fun_app$b'('semantics_ltln$'(X2),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X1))) <=> ? [X3 : 'Nat$'] : ! [X4 : 'Nat$'] : ~'fun_app$b'('fun_app$c'(X0,'fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X2,X3),X4))),'false_ltln$')) | (~'member$'(X1,'nu_LTL$') | ~'ltl_equivalence$'(X0)))), 10.53/3.51 inference(ennf_transformation,[],[f25])). 10.53/3.51 tff(f25,axiom,( 10.53/3.51 ! [X1 : 'A_ltln$',X2 : 'Nat_a_set_fun$',X0 : 'A_ltln_a_ltln_bool_fun_fun$'] : (('member$'(X1,'nu_LTL$') & 'ltl_equivalence$'(X0)) => ('fun_app$b'('semantics_ltln$'(X2),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X1))) <=> ? [X3 : 'Nat$'] : ! [X4 : 'Nat$'] : ~'fun_app$b'('fun_app$c'(X0,'fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X2,X3),X4))),'false_ltln$')))), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f3742,plain,( 10.53/3.51 ( ! [X1 : 'Nat$'] : (~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',sK46('w$','phi$')),X1))),'false_ltln$')) ) | ~spl59_27), 10.53/3.51 inference(avatar_component_clause,[],[f3741])). 10.53/3.51 tff(f5584,plain,( 10.53/3.51 spl59_6 | ~spl59_27), 10.53/3.51 inference(avatar_contradiction_clause,[],[f5583])). 10.53/3.51 tff(f5583,plain,( 10.53/3.51 $false | (spl59_6 | ~spl59_27)), 10.53/3.51 inference(subsumption_resolution,[],[f5582,f3308])). 10.53/3.51 tff(f3308,plain,( 10.53/3.51 ~'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))) | spl59_6), 10.53/3.51 inference(avatar_component_clause,[],[f3307])). 10.53/3.51 tff(f5581,plain,( 10.53/3.51 spl59_6 | ~spl59_27), 10.53/3.51 inference(avatar_contradiction_clause,[],[f5580])). 10.53/3.51 tff(f5580,plain,( 10.53/3.51 $false | (spl59_6 | ~spl59_27)), 10.53/3.51 inference(subsumption_resolution,[],[f5567,f1739])). 10.53/3.51 tff(f5567,plain,( 10.53/3.51 ~'member$'('phi$','nu_LTL$') | (spl59_6 | ~spl59_27)), 10.53/3.51 inference(subsumption_resolution,[],[f5546,f3308])). 10.53/3.51 tff(f5546,plain,( 10.53/3.51 'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))) | ~'member$'('phi$','nu_LTL$') | ~spl59_27), 10.53/3.51 inference(resolution,[],[f3742,f2029])). 10.53/3.51 tff(f2029,plain,( 10.53/3.51 ( ! [X2 : 'Nat$',X0 : 'A_ltln$',X1 : 'Nat_a_set_fun$'] : ('fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X0)),'fun_app$f'('subsequence$'(X1,X2),sK50(X0,X1,X2)))),'false_ltln$') | ~'member$'(X0,'nu_LTL$') | 'fun_app$b'('semantics_ltln$'(X1),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X0)))) )), 10.53/3.51 inference(cnf_transformation,[],[f1577])). 10.53/3.51 tff(f1577,plain,( 10.53/3.51 ! [X0 : 'A_ltln$',X1 : 'Nat_a_set_fun$'] : ((('fun_app$b'('semantics_ltln$'(X1),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X0))) | ! [X2 : 'Nat$'] : 'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X0)),'fun_app$f'('subsequence$'(X1,X2),sK50(X0,X1,X2)))),'false_ltln$')) & (! [X5 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X0)),'fun_app$f'('subsequence$'(X1,sK51(X0,X1)),X5))),'false_ltln$') | ~'fun_app$b'('semantics_ltln$'(X1),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X0))))) | ~'member$'(X0,'nu_LTL$'))), 10.53/3.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK50,sK51])],[f1574,f1576,f1575])). 10.53/3.51 tff(f1575,plain,( 10.53/3.51 ! [X0 : 'A_ltln$',X1 : 'Nat_a_set_fun$',X2 : 'Nat$'] : (? [X3 : 'Nat$'] : 'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X0)),'fun_app$f'('subsequence$'(X1,X2),X3))),'false_ltln$') => 'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X0)),'fun_app$f'('subsequence$'(X1,X2),sK50(X0,X1,X2)))),'false_ltln$'))), 10.53/3.51 introduced(definition,[],[choice_axiom])). 10.53/3.51 tff(f1576,plain,( 10.53/3.51 ! [X0 : 'A_ltln$',X1 : 'Nat_a_set_fun$'] : (? [X4 : 'Nat$'] : ! [X5 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X0)),'fun_app$f'('subsequence$'(X1,X4),X5))),'false_ltln$') => ! [X5 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X0)),'fun_app$f'('subsequence$'(X1,sK51(X0,X1)),X5))),'false_ltln$'))), 10.53/3.51 introduced(definition,[],[choice_axiom])). 10.53/3.51 tff(f1574,plain,( 10.53/3.51 ! [X0 : 'A_ltln$',X1 : 'Nat_a_set_fun$'] : ((('fun_app$b'('semantics_ltln$'(X1),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X0))) | ! [X2 : 'Nat$'] : ? [X3 : 'Nat$'] : 'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X0)),'fun_app$f'('subsequence$'(X1,X2),X3))),'false_ltln$')) & (? [X4 : 'Nat$'] : ! [X5 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X0)),'fun_app$f'('subsequence$'(X1,X4),X5))),'false_ltln$') | ~'fun_app$b'('semantics_ltln$'(X1),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X0))))) | ~'member$'(X0,'nu_LTL$'))), 10.53/3.51 inference(rectify,[],[f1573])). 10.53/3.51 tff(f1573,plain,( 10.53/3.51 ! [X1 : 'A_ltln$',X0 : 'Nat_a_set_fun$'] : ((('fun_app$b'('semantics_ltln$'(X0),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X1))) | ! [X2 : 'Nat$'] : ? [X3 : 'Nat$'] : 'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,X2),X3))),'false_ltln$')) & (? [X2 : 'Nat$'] : ! [X3 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,X2),X3))),'false_ltln$') | ~'fun_app$b'('semantics_ltln$'(X0),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X1))))) | ~'member$'(X1,'nu_LTL$'))), 10.53/3.51 inference(nnf_transformation,[],[f1020])). 10.53/3.51 tff(f1020,plain,( 10.53/3.51 ! [X1 : 'A_ltln$',X0 : 'Nat_a_set_fun$'] : (('fun_app$b'('semantics_ltln$'(X0),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X1))) <=> ? [X2 : 'Nat$'] : ! [X3 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,X2),X3))),'false_ltln$')) | ~'member$'(X1,'nu_LTL$'))), 10.53/3.51 inference(ennf_transformation,[],[f968])). 10.53/3.51 tff(f968,plain,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : ('member$'(X1,'nu_LTL$') => ('fun_app$b'('semantics_ltln$'(X0),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X1))) <=> ? [X2 : 'Nat$'] : ! [X3 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,X2),X3))),'false_ltln$')))), 10.53/3.51 inference(rectify,[],[f558])). 10.53/3.51 tff(f558,axiom,( 10.53/3.51 ! [X1 : 'Nat_a_set_fun$',X0 : 'A_ltln$'] : ('member$'(X0,'nu_LTL$') => ('fun_app$b'('semantics_ltln$'(X1),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X0))) <=> ? [X2 : 'Nat$'] : ! [X3 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X0)),'fun_app$f'('subsequence$'(X1,X2),X3))),'false_ltln$')))), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f5579,plain,( 10.53/3.51 spl59_6 | ~spl59_27), 10.53/3.51 inference(avatar_contradiction_clause,[],[f5578])). 10.53/3.51 tff(f5578,plain,( 10.53/3.51 $false | (spl59_6 | ~spl59_27)), 10.53/3.51 inference(subsumption_resolution,[],[f5510,f1739])). 10.53/3.51 tff(f5510,plain,( 10.53/3.51 ~'member$'('phi$','nu_LTL$') | (spl59_6 | ~spl59_27)), 10.53/3.51 inference(unit_resulting_resolution,[],[f2033,f3308,f3742,f2027])). 10.53/3.51 tff(f5577,plain,( 10.53/3.51 spl59_6 | ~spl59_27), 10.53/3.51 inference(avatar_contradiction_clause,[],[f5576])). 10.53/3.51 tff(f5576,plain,( 10.53/3.51 $false | (spl59_6 | ~spl59_27)), 10.53/3.51 inference(subsumption_resolution,[],[f5506,f3308])). 10.53/3.51 tff(f5506,plain,( 10.53/3.51 'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))) | ~spl59_27), 10.53/3.51 inference(unit_resulting_resolution,[],[f1739,f3742,f2029])). 10.53/3.51 tff(f5575,plain,( 10.53/3.51 spl59_6 | ~spl59_27), 10.53/3.51 inference(avatar_contradiction_clause,[],[f5574])). 10.53/3.51 tff(f5574,plain,( 10.53/3.51 $false | (spl59_6 | ~spl59_27)), 10.53/3.51 inference(subsumption_resolution,[],[f5511,f2033])). 10.53/3.51 tff(f5511,plain,( 10.53/3.51 ~'ltl_equivalence$'('eq$') | (spl59_6 | ~spl59_27)), 10.53/3.51 inference(unit_resulting_resolution,[],[f1739,f3308,f3742,f2027])). 10.53/3.51 tff(f5573,plain,( 10.53/3.51 spl59_6 | ~spl59_27), 10.53/3.51 inference(avatar_contradiction_clause,[],[f5572])). 10.53/3.51 tff(f5572,plain,( 10.53/3.51 $false | (spl59_6 | ~spl59_27)), 10.53/3.51 inference(subsumption_resolution,[],[f5509,f3308])). 10.53/3.51 tff(f5509,plain,( 10.53/3.51 'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))) | ~spl59_27), 10.53/3.51 inference(unit_resulting_resolution,[],[f2033,f1739,f3742,f2027])). 10.53/3.51 tff(f5569,plain,( 10.53/3.51 spl59_6 | ~spl59_27), 10.53/3.51 inference(avatar_contradiction_clause,[],[f5568])). 10.53/3.51 tff(f5568,plain,( 10.53/3.51 $false | (spl59_6 | ~spl59_27)), 10.53/3.51 inference(subsumption_resolution,[],[f5507,f1739])). 10.53/3.51 tff(f5507,plain,( 10.53/3.51 ~'member$'('phi$','nu_LTL$') | (spl59_6 | ~spl59_27)), 10.53/3.51 inference(unit_resulting_resolution,[],[f3308,f3742,f2029])). 10.53/3.51 tff(f5565,plain,( 10.53/3.51 ~spl59_48 | ~spl59_3 | ~spl59_27), 10.53/3.51 inference(avatar_split_clause,[],[f5532,f3741,f2178,f5562])). 10.53/3.51 tff(f5562,definition,( 10.53/3.51 spl59_48 <=> 'less_eq$'('ltl_lang_equiv$','eq$')), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_48])],[avatar_definition])). 10.53/3.51 tff(f2178,definition,( 10.53/3.51 spl59_3 <=> ! [X0 : 'Nat$'] : 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',X0),sK14(X0)))),'false_ltln$')), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_3])],[avatar_definition])). 10.53/3.51 tff(f5532,plain,( 10.53/3.51 ~'less_eq$'('ltl_lang_equiv$','eq$') | (~spl59_3 | ~spl59_27)), 10.53/3.51 inference(unit_resulting_resolution,[],[f2179,f3742,f1997])). 10.53/3.51 tff(f1997,plain,( 10.53/3.51 ( ! [X2 : 'A_ltln$',X3 : 'A_ltln_a_ltln_bool_fun_fun$',X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'(X0,X1),X2) | ~'fun_app$b'('fun_app$c'(X3,X1),X2) | ~'less_eq$'(X3,X0)) )), 10.53/3.51 inference(cnf_transformation,[],[f1544])). 10.53/3.51 tff(f1544,plain,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$',X2 : 'A_ltln$',X3 : 'A_ltln_a_ltln_bool_fun_fun$'] : (~'less_eq$'(X3,X0) | ~'fun_app$b'('fun_app$c'(X3,X1),X2) | 'fun_app$b'('fun_app$c'(X0,X1),X2))), 10.53/3.51 inference(rectify,[],[f1246])). 10.53/3.51 tff(f1246,plain,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X2 : 'A_ltln$',X1 : 'A_ltln$',X3 : 'A_ltln_a_ltln_bool_fun_fun$'] : (~'less_eq$'(X3,X0) | ~'fun_app$b'('fun_app$c'(X3,X2),X1) | 'fun_app$b'('fun_app$c'(X0,X2),X1))), 10.53/3.51 inference(flattening,[],[f1245])). 10.53/3.51 tff(f1245,plain,( 10.53/3.51 ! [X2 : 'A_ltln$',X3 : 'A_ltln_a_ltln_bool_fun_fun$',X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'(X0,X2),X1) | (~'less_eq$'(X3,X0) | ~'fun_app$b'('fun_app$c'(X3,X2),X1)))), 10.53/3.51 inference(ennf_transformation,[],[f919])). 10.53/3.51 tff(f919,plain,( 10.53/3.51 ! [X2 : 'A_ltln$',X3 : 'A_ltln_a_ltln_bool_fun_fun$',X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$'] : (('less_eq$'(X3,X0) & 'fun_app$b'('fun_app$c'(X3,X2),X1)) => 'fun_app$b'('fun_app$c'(X0,X2),X1))), 10.53/3.51 inference(rectify,[],[f19])). 10.53/3.51 tff(f19,axiom,( 10.53/3.51 ! [X1 : 'A_ltln_a_ltln_bool_fun_fun$',X3 : 'A_ltln$',X2 : 'A_ltln$',X0 : 'A_ltln_a_ltln_bool_fun_fun$'] : (('fun_app$b'('fun_app$c'(X0,X2),X3) & 'less_eq$'(X0,X1)) => 'fun_app$b'('fun_app$c'(X1,X2),X3))), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f2179,plain,( 10.53/3.51 ( ! [X0 : 'Nat$'] : ('fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',X0),sK14(X0)))),'false_ltln$')) ) | ~spl59_3), 10.53/3.51 inference(avatar_component_clause,[],[f2178])). 10.53/3.51 tff(f5560,plain,( 10.53/3.51 spl59_6 | ~spl59_27), 10.53/3.51 inference(avatar_contradiction_clause,[],[f5512])). 10.53/3.51 tff(f5512,plain,( 10.53/3.51 $false | (spl59_6 | ~spl59_27)), 10.53/3.51 inference(unit_resulting_resolution,[],[f2033,f1739,f3308,f3742,f2027])). 10.53/3.51 tff(f5559,plain,( 10.53/3.51 spl59_6 | ~spl59_27), 10.53/3.51 inference(avatar_contradiction_clause,[],[f5508])). 10.53/3.51 tff(f5508,plain,( 10.53/3.51 $false | (spl59_6 | ~spl59_27)), 10.53/3.51 inference(unit_resulting_resolution,[],[f1739,f3308,f3742,f2029])). 10.53/3.51 tff(f5505,plain,( 10.53/3.51 ~spl59_9 | spl59_28 | ~spl59_42), 10.53/3.51 inference(avatar_contradiction_clause,[],[f5504])). 10.53/3.51 tff(f5504,plain,( 10.53/3.51 $false | (~spl59_9 | spl59_28 | ~spl59_42)), 10.53/3.51 inference(subsumption_resolution,[],[f5473,f3802])). 10.53/3.51 tff(f3802,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('ltl_prop_equiv$','false_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')) | spl59_28), 10.53/3.51 inference(avatar_component_clause,[],[f3800])). 10.53/3.51 tff(f3800,definition,( 10.53/3.51 spl59_28 <=> 'fun_app$b'('fun_app$c'('ltl_prop_equiv$','false_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_28])],[avatar_definition])). 10.53/3.51 tff(f5473,plain,( 10.53/3.51 'fun_app$b'('fun_app$c'('ltl_prop_equiv$','false_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')) | (~spl59_9 | ~spl59_42)), 10.53/3.51 inference(unit_resulting_resolution,[],[f3383,f5132,f1997])). 10.53/3.51 tff(f5132,plain,( 10.53/3.51 'less_eq$'('ltl_lang_equiv$','ltl_prop_equiv$') | ~spl59_42), 10.53/3.51 inference(avatar_component_clause,[],[f5131])). 10.53/3.51 tff(f5131,definition,( 10.53/3.51 spl59_42 <=> 'less_eq$'('ltl_lang_equiv$','ltl_prop_equiv$')), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_42])],[avatar_definition])). 10.53/3.51 tff(f3383,plain,( 10.53/3.51 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','false_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')) | ~spl59_9), 10.53/3.51 inference(avatar_component_clause,[],[f3382])). 10.53/3.51 tff(f3382,definition,( 10.53/3.51 spl59_9 <=> 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','false_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_9])],[avatar_definition])). 10.53/3.51 tff(f5501,plain,( 10.53/3.51 spl59_47 | ~spl59_42), 10.53/3.51 inference(avatar_split_clause,[],[f5431,f5131,f5498])). 10.53/3.51 tff(f5498,definition,( 10.53/3.51 spl59_47 <=> 'less_eq$'('eq$','ltl_prop_equiv$')), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_47])],[avatar_definition])). 10.53/3.51 tff(f5431,plain,( 10.53/3.51 'less_eq$'('eq$','ltl_prop_equiv$') | ~spl59_42), 10.53/3.51 inference(unit_resulting_resolution,[],[f1814,f5132,f1888])). 10.53/3.51 tff(f1888,plain,( 10.53/3.51 ( ! [X2 : 'A_ltln_a_ltln_bool_fun_fun$',X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln_a_ltln_bool_fun_fun$'] : ('less_eq$'(X0,X1) | ~'less_eq$'(X2,X1) | ~'less_eq$'(X0,X2)) )), 10.53/3.51 inference(cnf_transformation,[],[f1463])). 10.53/3.51 tff(f1463,plain,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln_a_ltln_bool_fun_fun$',X2 : 'A_ltln_a_ltln_bool_fun_fun$'] : ('less_eq$'(X0,X1) | ~'less_eq$'(X2,X1) | ~'less_eq$'(X0,X2))), 10.53/3.51 inference(rectify,[],[f1038])). 10.53/3.51 tff(f1038,plain,( 10.53/3.51 ! [X1 : 'A_ltln_a_ltln_bool_fun_fun$',X0 : 'A_ltln_a_ltln_bool_fun_fun$',X2 : 'A_ltln_a_ltln_bool_fun_fun$'] : ('less_eq$'(X1,X0) | ~'less_eq$'(X2,X0) | ~'less_eq$'(X1,X2))), 10.53/3.51 inference(flattening,[],[f1037])). 10.53/3.51 tff(f1037,plain,( 10.53/3.51 ! [X1 : 'A_ltln_a_ltln_bool_fun_fun$',X0 : 'A_ltln_a_ltln_bool_fun_fun$',X2 : 'A_ltln_a_ltln_bool_fun_fun$'] : ('less_eq$'(X1,X0) | (~'less_eq$'(X2,X0) | ~'less_eq$'(X1,X2)))), 10.53/3.51 inference(ennf_transformation,[],[f924])). 10.53/3.51 tff(f924,plain,( 10.53/3.51 ! [X1 : 'A_ltln_a_ltln_bool_fun_fun$',X0 : 'A_ltln_a_ltln_bool_fun_fun$',X2 : 'A_ltln_a_ltln_bool_fun_fun$'] : (('less_eq$'(X2,X0) & 'less_eq$'(X1,X2)) => 'less_eq$'(X1,X0))), 10.53/3.51 inference(rectify,[],[f378])). 10.53/3.51 tff(f378,axiom,( 10.53/3.51 ! [X2 : 'A_ltln_a_ltln_bool_fun_fun$',X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln_a_ltln_bool_fun_fun$'] : (('less_eq$'(X1,X2) & 'less_eq$'(X0,X1)) => 'less_eq$'(X0,X2))), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f1814,plain,( 10.53/3.51 'less_eq$'('eq$','ltl_lang_equiv$')), 10.53/3.51 inference(cnf_transformation,[],[f38])). 10.53/3.51 tff(f38,axiom,( 10.53/3.51 'less_eq$'('eq$','ltl_lang_equiv$')), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f5493,plain,( 10.53/3.51 ~spl59_9 | spl59_28 | ~spl59_42), 10.53/3.51 inference(avatar_contradiction_clause,[],[f5492])). 10.53/3.51 tff(f5492,plain,( 10.53/3.51 $false | (~spl59_9 | spl59_28 | ~spl59_42)), 10.53/3.51 inference(subsumption_resolution,[],[f5385,f3802])). 10.53/3.51 tff(f5385,plain,( 10.53/3.51 'fun_app$b'('fun_app$c'('ltl_prop_equiv$','false_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')) | (~spl59_9 | ~spl59_42)), 10.53/3.51 inference(unit_resulting_resolution,[],[f3383,f5132,f1830])). 10.53/3.51 tff(f1830,plain,( 10.53/3.51 ( ! [X2 : 'A_ltln$',X3 : 'A_ltln_a_ltln_bool_fun_fun$',X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'(X3,X2),X1) | ~'less_eq$'(X0,X3) | ~'fun_app$b'('fun_app$c'(X0,X2),X1)) )), 10.53/3.51 inference(cnf_transformation,[],[f1415])). 10.53/3.51 tff(f1415,plain,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$',X2 : 'A_ltln$',X3 : 'A_ltln_a_ltln_bool_fun_fun$'] : (~'fun_app$b'('fun_app$c'(X0,X2),X1) | 'fun_app$b'('fun_app$c'(X3,X2),X1) | ~'less_eq$'(X0,X3))), 10.53/3.51 inference(rectify,[],[f1028])). 10.53/3.51 tff(f1028,plain,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X3 : 'A_ltln$',X1 : 'A_ltln$',X2 : 'A_ltln_a_ltln_bool_fun_fun$'] : (~'fun_app$b'('fun_app$c'(X0,X1),X3) | 'fun_app$b'('fun_app$c'(X2,X1),X3) | ~'less_eq$'(X0,X2))), 10.53/3.51 inference(flattening,[],[f1027])). 10.53/3.51 tff(f1027,plain,( 10.53/3.51 ! [X3 : 'A_ltln$',X1 : 'A_ltln$',X2 : 'A_ltln_a_ltln_bool_fun_fun$',X0 : 'A_ltln_a_ltln_bool_fun_fun$'] : ('fun_app$b'('fun_app$c'(X2,X1),X3) | (~'fun_app$b'('fun_app$c'(X0,X1),X3) | ~'less_eq$'(X0,X2)))), 10.53/3.51 inference(ennf_transformation,[],[f920])). 10.53/3.51 tff(f920,plain,( 10.53/3.51 ! [X3 : 'A_ltln$',X1 : 'A_ltln$',X2 : 'A_ltln_a_ltln_bool_fun_fun$',X0 : 'A_ltln_a_ltln_bool_fun_fun$'] : (('fun_app$b'('fun_app$c'(X0,X1),X3) & 'less_eq$'(X0,X2)) => 'fun_app$b'('fun_app$c'(X2,X1),X3))), 10.53/3.51 inference(rectify,[],[f118])). 10.53/3.51 tff(f118,axiom,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$',X3 : 'A_ltln_a_ltln_bool_fun_fun$',X2 : 'A_ltln$'] : (('less_eq$'(X0,X3) & 'fun_app$b'('fun_app$c'(X0,X1),X2)) => 'fun_app$b'('fun_app$c'(X3,X1),X2))), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f5489,plain,( 10.53/3.51 spl59_46 | ~spl59_42), 10.53/3.51 inference(avatar_split_clause,[],[f5379,f5131,f5486])). 10.53/3.51 tff(f5486,definition,( 10.53/3.51 spl59_46 <=> 'ltl_lang_equiv$' = 'ltl_prop_equiv$'), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_46])],[avatar_definition])). 10.53/3.51 tff(f5379,plain,( 10.53/3.51 'ltl_lang_equiv$' = 'ltl_prop_equiv$' | ~spl59_42), 10.53/3.51 inference(unit_resulting_resolution,[],[f1835,f5132,f1639])). 10.53/3.51 tff(f1639,plain,( 10.53/3.51 ( ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln_a_ltln_bool_fun_fun$'] : (~'less_eq$'(X1,X0) | X0 = X1 | ~'less_eq$'(X0,X1)) )), 10.53/3.51 inference(cnf_transformation,[],[f1081])). 10.53/3.51 tff(f1081,plain,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln_a_ltln_bool_fun_fun$'] : (X0 = X1 | ~'less_eq$'(X0,X1) | ~'less_eq$'(X1,X0))), 10.53/3.51 inference(flattening,[],[f1080])). 10.53/3.51 tff(f1080,plain,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln_a_ltln_bool_fun_fun$'] : (X0 = X1 | (~'less_eq$'(X1,X0) | ~'less_eq$'(X0,X1)))), 10.53/3.51 inference(ennf_transformation,[],[f916])). 10.53/3.51 tff(f916,plain,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln_a_ltln_bool_fun_fun$'] : (('less_eq$'(X1,X0) & 'less_eq$'(X0,X1)) => X0 = X1)), 10.53/3.51 inference(rectify,[],[f554])). 10.53/3.51 tff(f554,axiom,( 10.53/3.51 ! [X1 : 'A_ltln_a_ltln_bool_fun_fun$',X0 : 'A_ltln_a_ltln_bool_fun_fun$'] : (('less_eq$'(X0,X1) & 'less_eq$'(X1,X0)) => X0 = X1)), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f1835,plain,( 10.53/3.51 'less_eq$'('ltl_prop_equiv$','ltl_lang_equiv$')), 10.53/3.51 inference(cnf_transformation,[],[f571])). 10.53/3.51 tff(f571,axiom,( 10.53/3.51 'less_eq$'('ltl_prop_equiv$','ltl_lang_equiv$')), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f5324,plain,( 10.53/3.51 ~spl59_45 | spl59_42), 10.53/3.51 inference(avatar_split_clause,[],[f5239,f5131,f5321])). 10.53/3.51 tff(f5321,definition,( 10.53/3.51 spl59_45 <=> 'fun_app$b'('fun_app$c'('ltl_prop_equiv$',sK33('ltl_lang_equiv$','ltl_prop_equiv$')),sK34('ltl_lang_equiv$','ltl_prop_equiv$'))), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_45])],[avatar_definition])). 10.53/3.51 tff(f5239,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('ltl_prop_equiv$',sK33('ltl_lang_equiv$','ltl_prop_equiv$')),sK34('ltl_lang_equiv$','ltl_prop_equiv$')) | spl59_42), 10.53/3.51 inference(unit_resulting_resolution,[],[f5133,f1876])). 10.53/3.51 tff(f1876,plain,( 10.53/3.51 ( ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln_a_ltln_bool_fun_fun$'] : (~'fun_app$b'('fun_app$c'(X1,sK33(X0,X1)),sK34(X0,X1)) | 'less_eq$'(X0,X1)) )), 10.53/3.51 inference(cnf_transformation,[],[f1453])). 10.53/3.51 tff(f1453,plain,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln_a_ltln_bool_fun_fun$'] : (('fun_app$b'('fun_app$c'(X0,sK33(X0,X1)),sK34(X0,X1)) & ~'fun_app$b'('fun_app$c'(X1,sK33(X0,X1)),sK34(X0,X1))) | 'less_eq$'(X0,X1))), 10.53/3.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK33,sK34])],[f1451,f1452])). 10.53/3.51 tff(f1452,plain,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln_a_ltln_bool_fun_fun$'] : (? [X2 : 'A_ltln$',X3 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'(X0,X2),X3) & ~'fun_app$b'('fun_app$c'(X1,X2),X3)) => ('fun_app$b'('fun_app$c'(X0,sK33(X0,X1)),sK34(X0,X1)) & ~'fun_app$b'('fun_app$c'(X1,sK33(X0,X1)),sK34(X0,X1))))), 10.53/3.51 introduced(definition,[],[choice_axiom])). 10.53/3.51 tff(f1451,plain,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln_a_ltln_bool_fun_fun$'] : (? [X2 : 'A_ltln$',X3 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'(X0,X2),X3) & ~'fun_app$b'('fun_app$c'(X1,X2),X3)) | 'less_eq$'(X0,X1))), 10.53/3.51 inference(rectify,[],[f1063])). 10.53/3.51 tff(f1063,plain,( 10.53/3.51 ! [X1 : 'A_ltln_a_ltln_bool_fun_fun$',X0 : 'A_ltln_a_ltln_bool_fun_fun$'] : (? [X3 : 'A_ltln$',X2 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'(X1,X3),X2) & ~'fun_app$b'('fun_app$c'(X0,X3),X2)) | 'less_eq$'(X1,X0))), 10.53/3.51 inference(ennf_transformation,[],[f918])). 10.53/3.51 tff(f918,plain,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln_a_ltln_bool_fun_fun$'] : (! [X3 : 'A_ltln$',X2 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'(X1,X3),X2) => 'fun_app$b'('fun_app$c'(X0,X3),X2)) => 'less_eq$'(X1,X0))), 10.53/3.51 inference(rectify,[],[f69])). 10.53/3.51 tff(f69,axiom,( 10.53/3.51 ! [X1 : 'A_ltln_a_ltln_bool_fun_fun$',X0 : 'A_ltln_a_ltln_bool_fun_fun$'] : (! [X3 : 'A_ltln$',X2 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'(X0,X2),X3) => 'fun_app$b'('fun_app$c'(X1,X2),X3)) => 'less_eq$'(X0,X1))), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f5133,plain,( 10.53/3.51 ~'less_eq$'('ltl_lang_equiv$','ltl_prop_equiv$') | spl59_42), 10.53/3.51 inference(avatar_component_clause,[],[f5131])). 10.53/3.51 tff(f5319,plain,( 10.53/3.51 spl59_44 | spl59_42), 10.53/3.51 inference(avatar_split_clause,[],[f5306,f5131,f5316])). 10.53/3.51 tff(f5316,definition,( 10.53/3.51 spl59_44 <=> 'fun_app$b'('fun_app$c'('ltl_lang_equiv$',sK33('ltl_lang_equiv$','ltl_prop_equiv$')),sK34('ltl_lang_equiv$','ltl_prop_equiv$'))), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_44])],[avatar_definition])). 10.53/3.51 tff(f5306,plain,( 10.53/3.51 'fun_app$b'('fun_app$c'('ltl_lang_equiv$',sK33('ltl_lang_equiv$','ltl_prop_equiv$')),sK34('ltl_lang_equiv$','ltl_prop_equiv$')) | spl59_42), 10.53/3.51 inference(unit_resulting_resolution,[],[f5133,f1877])). 10.53/3.51 tff(f1877,plain,( 10.53/3.51 ( ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln_a_ltln_bool_fun_fun$'] : ('fun_app$b'('fun_app$c'(X0,sK33(X0,X1)),sK34(X0,X1)) | 'less_eq$'(X0,X1)) )), 10.53/3.51 inference(cnf_transformation,[],[f1453])). 10.53/3.51 tff(f5314,plain,( 10.53/3.51 ~spl59_43 | spl59_42), 10.53/3.51 inference(avatar_split_clause,[],[f5261,f5131,f5311])). 10.53/3.51 tff(f5311,definition,( 10.53/3.51 spl59_43 <=> 'less_eq$'('ltl_lang_equiv$','ltl_const_equiv$')), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_43])],[avatar_definition])). 10.53/3.51 tff(f5261,plain,( 10.53/3.51 ~'less_eq$'('ltl_lang_equiv$','ltl_const_equiv$') | spl59_42), 10.53/3.51 inference(unit_resulting_resolution,[],[f1820,f5133,f1888])). 10.53/3.51 tff(f1820,plain,( 10.53/3.51 'less_eq$'('ltl_const_equiv$','ltl_prop_equiv$')), 10.53/3.51 inference(cnf_transformation,[],[f245])). 10.53/3.51 tff(f245,axiom,( 10.53/3.51 'less_eq$'('ltl_const_equiv$','ltl_prop_equiv$')), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f5134,plain,( 10.53/3.51 ~spl59_42 | ~spl59_7 | spl59_10), 10.53/3.51 inference(avatar_split_clause,[],[f5118,f3388,f3317,f5131])). 10.53/3.51 tff(f3317,definition,( 10.53/3.51 spl59_7 <=> 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'false_ltln$')), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_7])],[avatar_definition])). 10.53/3.51 tff(f3388,definition,( 10.53/3.51 spl59_10 <=> 'fun_app$b'('fun_app$c'('ltl_prop_equiv$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'false_ltln$')), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_10])],[avatar_definition])). 10.53/3.51 tff(f5118,plain,( 10.53/3.51 ~'less_eq$'('ltl_lang_equiv$','ltl_prop_equiv$') | (~spl59_7 | spl59_10)), 10.53/3.51 inference(unit_resulting_resolution,[],[f3318,f3390,f1830])). 10.53/3.51 tff(f3390,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('ltl_prop_equiv$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'false_ltln$') | spl59_10), 10.53/3.51 inference(avatar_component_clause,[],[f3388])). 10.53/3.51 tff(f3318,plain,( 10.53/3.51 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'false_ltln$') | ~spl59_7), 10.53/3.51 inference(avatar_component_clause,[],[f3317])). 10.53/3.51 tff(f5128,plain,( 10.53/3.51 ~spl59_28 | spl59_10), 10.53/3.51 inference(avatar_split_clause,[],[f5120,f3388,f3800])). 10.53/3.51 tff(f5120,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('ltl_prop_equiv$','false_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')) | spl59_10), 10.53/3.51 inference(resolution,[],[f3390,f1991])). 10.53/3.51 tff(f1991,plain,( 10.53/3.51 ( ! [X0 : 'A_ltln$',X1 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'('ltl_prop_equiv$',X1),X0) | ~'fun_app$b'('fun_app$c'('ltl_prop_equiv$',X0),X1)) )), 10.53/3.51 inference(cnf_transformation,[],[f1542])). 10.53/3.51 tff(f1542,plain,( 10.53/3.51 ! [X0 : 'A_ltln$',X1 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'('ltl_prop_equiv$',X1),X0) | ~'fun_app$b'('fun_app$c'('ltl_prop_equiv$',X0),X1))), 10.53/3.51 inference(rectify,[],[f1053])). 10.53/3.51 tff(f1053,plain,( 10.53/3.51 ! [X1 : 'A_ltln$',X0 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'('ltl_prop_equiv$',X0),X1) | ~'fun_app$b'('fun_app$c'('ltl_prop_equiv$',X1),X0))), 10.53/3.51 inference(ennf_transformation,[],[f988])). 10.53/3.51 tff(f988,plain,( 10.53/3.51 ! [X0 : 'A_ltln$',X1 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'('ltl_prop_equiv$',X1),X0) => 'fun_app$b'('fun_app$c'('ltl_prop_equiv$',X0),X1))), 10.53/3.51 inference(rectify,[],[f556])). 10.53/3.51 tff(f556,axiom,( 10.53/3.51 ! [X1 : 'A_ltln$',X0 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'('ltl_prop_equiv$',X0),X1) => 'fun_app$b'('fun_app$c'('ltl_prop_equiv$',X1),X0))), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f5085,plain,( 10.53/3.51 spl59_27 | ~spl59_26), 10.53/3.51 inference(avatar_split_clause,[],[f4165,f3738,f3741])). 10.53/3.51 tff(f3738,definition,( 10.53/3.51 spl59_26 <=> ! [X0 : 'Nat$'] : ~$less('fun_app$g'('of_nat$',sK17),'fun_app$g'('of_nat$',sK47('w$','phi$',X0)))), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_26])],[avatar_definition])). 10.53/3.51 tff(f4165,plain,( 10.53/3.51 ( ! [X0 : 'Nat$'] : (~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',sK46('w$','phi$')),X0))),'false_ltln$')) ) | ~spl59_26), 10.53/3.51 inference(unit_resulting_resolution,[],[f3739,f2019])). 10.53/3.51 tff(f2019,plain,( 10.53/3.51 ( ! [X3 : 'Nat$',X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$',X4 : 'Nat$'] : (~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,sK46(X0,X1)),X3))),'false_ltln$') | $less('fun_app$g'('of_nat$',X4),'fun_app$g'('of_nat$',sK47(X0,X1,X4)))) )), 10.53/3.51 inference(cnf_transformation,[],[f1564])). 10.53/3.51 tff(f1564,plain,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : (! [X3 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,sK46(X0,X1)),X3))),'false_ltln$') | ! [X4 : 'Nat$'] : ($less('fun_app$g'('of_nat$',X4),'fun_app$g'('of_nat$',sK47(X0,X1,X4))) & 'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),X1),'fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,'nat$'(0)),sK47(X0,X1,X4)))),'false_ltln$')))), 10.53/3.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK46,sK47])],[f1561,f1563,f1562])). 10.53/3.51 tff(f1562,plain,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : (? [X2 : 'Nat$'] : ! [X3 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,X2),X3))),'false_ltln$') => ! [X3 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,sK46(X0,X1)),X3))),'false_ltln$'))), 10.53/3.51 introduced(definition,[],[choice_axiom])). 10.53/3.51 tff(f1563,plain,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$',X4 : 'Nat$'] : (? [X5 : 'Nat$'] : ($less('fun_app$g'('of_nat$',X4),'fun_app$g'('of_nat$',X5)) & 'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),X1),'fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,'nat$'(0)),X5))),'false_ltln$')) => ($less('fun_app$g'('of_nat$',X4),'fun_app$g'('of_nat$',sK47(X0,X1,X4))) & 'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),X1),'fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,'nat$'(0)),sK47(X0,X1,X4)))),'false_ltln$')))), 10.53/3.51 introduced(definition,[],[choice_axiom])). 10.53/3.51 tff(f1561,plain,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : (? [X2 : 'Nat$'] : ! [X3 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,X2),X3))),'false_ltln$') | ! [X4 : 'Nat$'] : ? [X5 : 'Nat$'] : ($less('fun_app$g'('of_nat$',X4),'fun_app$g'('of_nat$',X5)) & 'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),X1),'fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,'nat$'(0)),X5))),'false_ltln$')))), 10.53/3.51 inference(rectify,[],[f1046])). 10.53/3.51 tff(f1046,plain,( 10.53/3.51 ! [X1 : 'Nat_a_set_fun$',X0 : 'A_ltln$'] : (? [X4 : 'Nat$'] : ! [X5 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X0)),'fun_app$f'('subsequence$'(X1,X4),X5))),'false_ltln$') | ! [X2 : 'Nat$'] : ? [X3 : 'Nat$'] : ($less('fun_app$g'('of_nat$',X2),'fun_app$g'('of_nat$',X3)) & 'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),X0),'fun_app$e'('release_ltln$'('false_ltln$'),X0)),'fun_app$f'('subsequence$'(X1,'nat$'(0)),X3))),'false_ltln$')))), 10.53/3.51 inference(ennf_transformation,[],[f876])). 10.53/3.51 tff(f876,plain,( 10.53/3.51 ! [X1 : 'Nat_a_set_fun$',X0 : 'A_ltln$'] : (? [X2 : 'Nat$'] : ! [X3 : 'Nat$'] : ($less('fun_app$g'('of_nat$',X2),'fun_app$g'('of_nat$',X3)) => ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),X0),'fun_app$e'('release_ltln$'('false_ltln$'),X0)),'fun_app$f'('subsequence$'(X1,'nat$'(0)),X3))),'false_ltln$')) => ? [X4 : 'Nat$'] : ! [X5 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X0)),'fun_app$f'('subsequence$'(X1,X4),X5))),'false_ltln$'))), 10.53/3.51 inference(rectify,[],[f156])). 10.53/3.51 tff(f156,axiom,( 10.53/3.51 ! [X0 : 'A_ltln$',X1 : 'Nat_a_set_fun$'] : (? [X2 : 'Nat$'] : ! [X3 : 'Nat$'] : ($less('fun_app$g'('of_nat$',X2),'fun_app$g'('of_nat$',X3)) => ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),X0),'fun_app$e'('release_ltln$'('false_ltln$'),X0)),'fun_app$f'('subsequence$'(X1,'nat$'(0)),X3))),'false_ltln$')) => ? [X2 : 'Nat$'] : ! [X3 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X0)),'fun_app$f'('subsequence$'(X1,X2),X3))),'false_ltln$'))), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f3739,plain,( 10.53/3.51 ( ! [X0 : 'Nat$'] : (~$less('fun_app$g'('of_nat$',sK17),'fun_app$g'('of_nat$',sK47('w$','phi$',X0)))) ) | ~spl59_26), 10.53/3.51 inference(avatar_component_clause,[],[f3738])). 10.53/3.51 tff(f4110,plain,( 10.53/3.51 ~spl59_41 | spl59_6), 10.53/3.51 inference(avatar_split_clause,[],[f4005,f3307,f4107])). 10.53/3.51 tff(f4107,definition,( 10.53/3.51 spl59_41 <=> 'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('release_ltln$'('true_ltln$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))))), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_41])],[avatar_definition])). 10.53/3.51 tff(f4005,plain,( 10.53/3.51 ~'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('release_ltln$'('true_ltln$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')))) | spl59_6), 10.53/3.51 inference(unit_resulting_resolution,[],[f3308,f1791])). 10.53/3.51 tff(f1791,plain,( 10.53/3.51 ( ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : (~'fun_app$b'('semantics_ltln$'(X0),'fun_app$e'('release_ltln$'('true_ltln$'),X1)) | 'fun_app$b'('semantics_ltln$'(X0),X1)) )), 10.53/3.51 inference(cnf_transformation,[],[f1391])). 10.53/3.51 tff(f1391,plain,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : (('fun_app$b'('semantics_ltln$'(X0),'fun_app$e'('release_ltln$'('true_ltln$'),X1)) | ~'fun_app$b'('semantics_ltln$'(X0),X1)) & ('fun_app$b'('semantics_ltln$'(X0),X1) | ~'fun_app$b'('semantics_ltln$'(X0),'fun_app$e'('release_ltln$'('true_ltln$'),X1))))), 10.53/3.51 inference(rectify,[],[f1390])). 10.53/3.51 tff(f1390,plain,( 10.53/3.51 ! [X1 : 'Nat_a_set_fun$',X0 : 'A_ltln$'] : (('fun_app$b'('semantics_ltln$'(X1),'fun_app$e'('release_ltln$'('true_ltln$'),X0)) | ~'fun_app$b'('semantics_ltln$'(X1),X0)) & ('fun_app$b'('semantics_ltln$'(X1),X0) | ~'fun_app$b'('semantics_ltln$'(X1),'fun_app$e'('release_ltln$'('true_ltln$'),X0))))), 10.53/3.51 inference(nnf_transformation,[],[f884])). 10.53/3.51 tff(f884,plain,( 10.53/3.51 ! [X1 : 'Nat_a_set_fun$',X0 : 'A_ltln$'] : ('fun_app$b'('semantics_ltln$'(X1),'fun_app$e'('release_ltln$'('true_ltln$'),X0)) <=> 'fun_app$b'('semantics_ltln$'(X1),X0))), 10.53/3.51 inference(rectify,[],[f521])). 10.53/3.51 tff(f521,axiom,( 10.53/3.51 ! [X1 : 'A_ltln$',X0 : 'Nat_a_set_fun$'] : ('fun_app$b'('semantics_ltln$'(X0),'fun_app$e'('release_ltln$'('true_ltln$'),X1)) <=> 'fun_app$b'('semantics_ltln$'(X0),X1))), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f4105,plain,( 10.53/3.51 ~spl59_40 | spl59_6), 10.53/3.51 inference(avatar_split_clause,[],[f4042,f3307,f4102])). 10.53/3.51 tff(f4102,definition,( 10.53/3.51 spl59_40 <=> 'fun_app$b'('fun_app$c'('ltl_const_equiv$','true_ltln$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')))), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_40])],[avatar_definition])). 10.53/3.51 tff(f4042,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('ltl_const_equiv$','true_ltln$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))) | spl59_6), 10.53/3.51 inference(unit_resulting_resolution,[],[f1809,f1656,f3308,f1943])). 10.53/3.51 tff(f1943,plain,( 10.53/3.51 ( ! [X2 : 'A_ltln$',X3 : 'A_ltln$',X0 : 'Nat_a_set_fun$',X1 : 'A_ltln_a_ltln_bool_fun_fun$'] : (~'fun_app$b'('fun_app$c'(X1,X3),X2) | ~'ltl_equivalence$'(X1) | 'fun_app$b'('semantics_ltln$'(X0),X2) | ~'fun_app$b'('semantics_ltln$'(X0),X3)) )), 10.53/3.51 inference(cnf_transformation,[],[f1509])). 10.53/3.51 tff(f1509,plain,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln_a_ltln_bool_fun_fun$',X2 : 'A_ltln$',X3 : 'A_ltln$'] : ((('fun_app$b'('semantics_ltln$'(X0),X2) | ~'fun_app$b'('semantics_ltln$'(X0),X3)) & ('fun_app$b'('semantics_ltln$'(X0),X3) | ~'fun_app$b'('semantics_ltln$'(X0),X2))) | ~'ltl_equivalence$'(X1) | ~'fun_app$b'('fun_app$c'(X1,X3),X2))), 10.53/3.51 inference(rectify,[],[f1508])). 10.53/3.51 tff(f1508,plain,( 10.53/3.51 ! [X3 : 'Nat_a_set_fun$',X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$',X2 : 'A_ltln$'] : ((('fun_app$b'('semantics_ltln$'(X3),X1) | ~'fun_app$b'('semantics_ltln$'(X3),X2)) & ('fun_app$b'('semantics_ltln$'(X3),X2) | ~'fun_app$b'('semantics_ltln$'(X3),X1))) | ~'ltl_equivalence$'(X0) | ~'fun_app$b'('fun_app$c'(X0,X2),X1))), 10.53/3.51 inference(nnf_transformation,[],[f1230])). 10.53/3.51 tff(f1230,plain,( 10.53/3.51 ! [X3 : 'Nat_a_set_fun$',X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$',X2 : 'A_ltln$'] : (('fun_app$b'('semantics_ltln$'(X3),X1) <=> 'fun_app$b'('semantics_ltln$'(X3),X2)) | ~'ltl_equivalence$'(X0) | ~'fun_app$b'('fun_app$c'(X0,X2),X1))), 10.53/3.51 inference(flattening,[],[f1229])). 10.53/3.51 tff(f1229,plain,( 10.53/3.51 ! [X2 : 'A_ltln$',X1 : 'A_ltln$',X3 : 'Nat_a_set_fun$',X0 : 'A_ltln_a_ltln_bool_fun_fun$'] : (('fun_app$b'('semantics_ltln$'(X3),X1) <=> 'fun_app$b'('semantics_ltln$'(X3),X2)) | (~'fun_app$b'('fun_app$c'(X0,X2),X1) | ~'ltl_equivalence$'(X0)))), 10.53/3.51 inference(ennf_transformation,[],[f992])). 10.53/3.51 tff(f992,plain,( 10.53/3.51 ! [X2 : 'A_ltln$',X1 : 'A_ltln$',X3 : 'Nat_a_set_fun$',X0 : 'A_ltln_a_ltln_bool_fun_fun$'] : (('fun_app$b'('fun_app$c'(X0,X2),X1) & 'ltl_equivalence$'(X0)) => ('fun_app$b'('semantics_ltln$'(X3),X1) <=> 'fun_app$b'('semantics_ltln$'(X3),X2)))), 10.53/3.51 inference(rectify,[],[f567])). 10.53/3.51 tff(f567,axiom,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X2 : 'A_ltln$',X1 : 'A_ltln$',X3 : 'Nat_a_set_fun$'] : (('ltl_equivalence$'(X0) & 'fun_app$b'('fun_app$c'(X0,X1),X2)) => ('fun_app$b'('semantics_ltln$'(X3),X1) <=> 'fun_app$b'('semantics_ltln$'(X3),X2)))), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f1656,plain,( 10.53/3.51 ( ! [X0 : 'Nat_a_set_fun$'] : ('fun_app$b'('semantics_ltln$'(X0),'true_ltln$')) )), 10.53/3.51 inference(cnf_transformation,[],[f904])). 10.53/3.51 tff(f904,plain,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$'] : 'fun_app$b'('semantics_ltln$'(X0),'true_ltln$')), 10.53/3.51 inference(true_and_false_elimination,[],[f63])). 10.53/3.51 tff(f63,axiom,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$'] : ('fun_app$b'('semantics_ltln$'(X0),'true_ltln$') <=> $true)), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f1809,plain,( 10.53/3.51 'ltl_equivalence$'('ltl_const_equiv$')), 10.53/3.51 inference(cnf_transformation,[],[f352])). 10.53/3.51 tff(f352,axiom,( 10.53/3.51 'ltl_equivalence$'('ltl_const_equiv$')), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f4100,plain,( 10.53/3.51 ~spl59_39 | spl59_6), 10.53/3.51 inference(avatar_split_clause,[],[f3985,f3307,f4097])). 10.53/3.51 tff(f4097,definition,( 10.53/3.51 spl59_39 <=> 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))),'true_ltln$')), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_39])],[avatar_definition])). 10.53/3.51 tff(f3985,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))),'true_ltln$') | spl59_6), 10.53/3.51 inference(unit_resulting_resolution,[],[f1656,f3308,f1658])). 10.53/3.51 tff(f1658,plain,( 10.53/3.51 ( ! [X3 : 'Nat_a_set_fun$',X0 : 'A_ltln$',X1 : 'A_ltln$'] : (~'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X1),X0) | 'fun_app$b'('semantics_ltln$'(X3),X1) | ~'fun_app$b'('semantics_ltln$'(X3),X0)) )), 10.53/3.51 inference(cnf_transformation,[],[f1290])). 10.53/3.51 tff(f1290,plain,( 10.53/3.51 ! [X0 : 'A_ltln$',X1 : 'A_ltln$'] : (('fun_app$b'('fun_app$c'('ltl_lang_equiv$',X1),X0) | ((~'fun_app$b'('semantics_ltln$'(sK12(X0,X1)),X1) | ~'fun_app$b'('semantics_ltln$'(sK12(X0,X1)),X0)) & ('fun_app$b'('semantics_ltln$'(sK12(X0,X1)),X1) | 'fun_app$b'('semantics_ltln$'(sK12(X0,X1)),X0)))) & (! [X3 : 'Nat_a_set_fun$'] : (('fun_app$b'('semantics_ltln$'(X3),X0) | ~'fun_app$b'('semantics_ltln$'(X3),X1)) & ('fun_app$b'('semantics_ltln$'(X3),X1) | ~'fun_app$b'('semantics_ltln$'(X3),X0))) | ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X1),X0)))), 10.53/3.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f1288,f1289])). 10.53/3.51 tff(f1289,plain,( 10.53/3.51 ! [X0 : 'A_ltln$',X1 : 'A_ltln$'] : (? [X2 : 'Nat_a_set_fun$'] : ((~'fun_app$b'('semantics_ltln$'(X2),X1) | ~'fun_app$b'('semantics_ltln$'(X2),X0)) & ('fun_app$b'('semantics_ltln$'(X2),X1) | 'fun_app$b'('semantics_ltln$'(X2),X0))) => ((~'fun_app$b'('semantics_ltln$'(sK12(X0,X1)),X1) | ~'fun_app$b'('semantics_ltln$'(sK12(X0,X1)),X0)) & ('fun_app$b'('semantics_ltln$'(sK12(X0,X1)),X1) | 'fun_app$b'('semantics_ltln$'(sK12(X0,X1)),X0))))), 10.53/3.51 introduced(definition,[],[choice_axiom])). 10.53/3.51 tff(f1288,plain,( 10.53/3.51 ! [X0 : 'A_ltln$',X1 : 'A_ltln$'] : (('fun_app$b'('fun_app$c'('ltl_lang_equiv$',X1),X0) | ? [X2 : 'Nat_a_set_fun$'] : ((~'fun_app$b'('semantics_ltln$'(X2),X1) | ~'fun_app$b'('semantics_ltln$'(X2),X0)) & ('fun_app$b'('semantics_ltln$'(X2),X1) | 'fun_app$b'('semantics_ltln$'(X2),X0)))) & (! [X3 : 'Nat_a_set_fun$'] : (('fun_app$b'('semantics_ltln$'(X3),X0) | ~'fun_app$b'('semantics_ltln$'(X3),X1)) & ('fun_app$b'('semantics_ltln$'(X3),X1) | ~'fun_app$b'('semantics_ltln$'(X3),X0))) | ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X1),X0)))), 10.53/3.51 inference(rectify,[],[f1287])). 10.53/3.51 tff(f1287,plain,( 10.53/3.51 ! [X0 : 'A_ltln$',X1 : 'A_ltln$'] : (('fun_app$b'('fun_app$c'('ltl_lang_equiv$',X1),X0) | ? [X2 : 'Nat_a_set_fun$'] : ((~'fun_app$b'('semantics_ltln$'(X2),X1) | ~'fun_app$b'('semantics_ltln$'(X2),X0)) & ('fun_app$b'('semantics_ltln$'(X2),X1) | 'fun_app$b'('semantics_ltln$'(X2),X0)))) & (! [X2 : 'Nat_a_set_fun$'] : (('fun_app$b'('semantics_ltln$'(X2),X0) | ~'fun_app$b'('semantics_ltln$'(X2),X1)) & ('fun_app$b'('semantics_ltln$'(X2),X1) | ~'fun_app$b'('semantics_ltln$'(X2),X0))) | ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X1),X0)))), 10.53/3.51 inference(nnf_transformation,[],[f871])). 10.53/3.51 tff(f871,plain,( 10.53/3.51 ! [X0 : 'A_ltln$',X1 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'('ltl_lang_equiv$',X1),X0) <=> ! [X2 : 'Nat_a_set_fun$'] : ('fun_app$b'('semantics_ltln$'(X2),X0) <=> 'fun_app$b'('semantics_ltln$'(X2),X1)))), 10.53/3.51 inference(rectify,[],[f519])). 10.53/3.51 tff(f519,axiom,( 10.53/3.51 ! [X1 : 'A_ltln$',X0 : 'A_ltln$'] : (! [X2 : 'Nat_a_set_fun$'] : ('fun_app$b'('semantics_ltln$'(X2),X0) <=> 'fun_app$b'('semantics_ltln$'(X2),X1)) <=> 'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X0),X1))), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f4095,plain,( 10.53/3.51 ~spl59_38 | spl59_6), 10.53/3.51 inference(avatar_split_clause,[],[f4050,f3307,f4092])). 10.53/3.51 tff(f4092,definition,( 10.53/3.51 spl59_38 <=> 'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('until_ltln$'('false_ltln$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))))), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_38])],[avatar_definition])). 10.53/3.51 tff(f4050,plain,( 10.53/3.51 ~'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('until_ltln$'('false_ltln$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')))) | spl59_6), 10.53/3.51 inference(unit_resulting_resolution,[],[f3308,f1979])). 10.53/3.51 tff(f1979,plain,( 10.53/3.51 ( ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : (~'fun_app$b'('semantics_ltln$'(X0),'fun_app$e'('until_ltln$'('false_ltln$'),X1)) | 'fun_app$b'('semantics_ltln$'(X0),X1)) )), 10.53/3.51 inference(cnf_transformation,[],[f1534])). 10.53/3.51 tff(f1534,plain,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : (('fun_app$b'('semantics_ltln$'(X0),'fun_app$e'('until_ltln$'('false_ltln$'),X1)) | ~'fun_app$b'('semantics_ltln$'(X0),X1)) & ('fun_app$b'('semantics_ltln$'(X0),X1) | ~'fun_app$b'('semantics_ltln$'(X0),'fun_app$e'('until_ltln$'('false_ltln$'),X1))))), 10.53/3.51 inference(rectify,[],[f1533])). 10.53/3.51 tff(f1533,plain,( 10.53/3.51 ! [X1 : 'Nat_a_set_fun$',X0 : 'A_ltln$'] : (('fun_app$b'('semantics_ltln$'(X1),'fun_app$e'('until_ltln$'('false_ltln$'),X0)) | ~'fun_app$b'('semantics_ltln$'(X1),X0)) & ('fun_app$b'('semantics_ltln$'(X1),X0) | ~'fun_app$b'('semantics_ltln$'(X1),'fun_app$e'('until_ltln$'('false_ltln$'),X0))))), 10.53/3.51 inference(nnf_transformation,[],[f897])). 10.53/3.51 tff(f897,plain,( 10.53/3.51 ! [X1 : 'Nat_a_set_fun$',X0 : 'A_ltln$'] : ('fun_app$b'('semantics_ltln$'(X1),'fun_app$e'('until_ltln$'('false_ltln$'),X0)) <=> 'fun_app$b% (10401)Refutation not found, SMT solver inside AVATAR returned Unknown% (10401)------------------------------ 10.53/3.51 % (10401)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 10.53/3.51 % (10401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.53/3.51 % (10401)Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown 10.53/3.51 10.53/3.51 % (10401)Time elapsed: 0.302 s 10.53/3.51 % (10401)Peak memory usage: 32 MB 10.53/3.51 % (10401)Instructions burned: 207 (million) 10.53/3.51 '('semantics_ltln$'(X1),X0))), 10.53/3.51 inference(rectify,[],[f76])). 10.53/3.51 tff(f76,axiom,( 10.53/3.51 ! [X1 : 'A_ltln$',X0 : 'Nat_a_set_fun$'] : ('fun_app$b'('semantics_ltln$'(X0),'fun_app$e'('until_ltln$'('false_ltln$'),X1)) <=> 'fun_app$b'('semantics_ltln$'(X0),X1))), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f4090,plain,( 10.53/3.51 ~spl59_37 | spl59_6), 10.53/3.51 inference(avatar_split_clause,[],[f3997,f3307,f4087])). 10.53/3.51 tff(f4087,definition,( 10.53/3.51 spl59_37 <=> 'fun_app$b'('fun_app$c'('ltl_prop_equiv$','true_ltln$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')))), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_37])],[avatar_definition])). 10.53/3.51 tff(f3997,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('ltl_prop_equiv$','true_ltln$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))) | spl59_6), 10.53/3.51 inference(unit_resulting_resolution,[],[f1656,f3308,f1692])). 10.53/3.51 tff(f1692,plain,( 10.53/3.51 ( ! [X2 : 'A_ltln$',X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : (~'fun_app$b'('fun_app$c'('ltl_prop_equiv$',X1),X2) | 'fun_app$b'('semantics_ltln$'(X0),X2) | ~'fun_app$b'('semantics_ltln$'(X0),X1)) )), 10.53/3.51 inference(cnf_transformation,[],[f1313])). 10.53/3.51 tff(f1313,plain,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$',X2 : 'A_ltln$'] : (~'fun_app$b'('fun_app$c'('ltl_prop_equiv$',X1),X2) | (('fun_app$b'('semantics_ltln$'(X0),X2) | ~'fun_app$b'('semantics_ltln$'(X0),X1)) & ('fun_app$b'('semantics_ltln$'(X0),X1) | ~'fun_app$b'('semantics_ltln$'(X0),X2))))), 10.53/3.51 inference(rectify,[],[f1312])). 10.53/3.51 tff(f1312,plain,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$',X2 : 'A_ltln$',X1 : 'A_ltln$'] : (~'fun_app$b'('fun_app$c'('ltl_prop_equiv$',X2),X1) | (('fun_app$b'('semantics_ltln$'(X0),X1) | ~'fun_app$b'('semantics_ltln$'(X0),X2)) & ('fun_app$b'('semantics_ltln$'(X0),X2) | ~'fun_app$b'('semantics_ltln$'(X0),X1))))), 10.53/3.51 inference(nnf_transformation,[],[f1013])). 10.53/3.51 tff(f1013,plain,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$',X2 : 'A_ltln$',X1 : 'A_ltln$'] : (~'fun_app$b'('fun_app$c'('ltl_prop_equiv$',X2),X1) | ('fun_app$b'('semantics_ltln$'(X0),X1) <=> 'fun_app$b'('semantics_ltln$'(X0),X2)))), 10.53/3.51 inference(ennf_transformation,[],[f983])). 10.53/3.51 tff(f983,plain,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$',X2 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'('ltl_prop_equiv$',X2),X1) => ('fun_app$b'('semantics_ltln$'(X0),X1) <=> 'fun_app$b'('semantics_ltln$'(X0),X2)))), 10.53/3.51 inference(rectify,[],[f289])). 10.53/3.51 tff(f289,axiom,( 10.53/3.51 ! [X2 : 'Nat_a_set_fun$',X1 : 'A_ltln$',X0 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'('ltl_prop_equiv$',X0),X1) => ('fun_app$b'('semantics_ltln$'(X2),X0) <=> 'fun_app$b'('semantics_ltln$'(X2),X1)))), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f4085,plain,( 10.53/3.51 ~spl59_36 | spl59_6), 10.53/3.51 inference(avatar_split_clause,[],[f4025,f3307,f4082])). 10.53/3.51 tff(f4082,definition,( 10.53/3.51 spl59_36 <=> 'fun_app$b'('fun_app$c'('ltl_const_equiv$','fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))),'true_ltln$')), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_36])],[avatar_definition])). 10.53/3.51 tff(f4025,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('ltl_const_equiv$','fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))),'true_ltln$') | spl59_6), 10.53/3.51 inference(unit_resulting_resolution,[],[f1809,f1656,f3308,f1942])). 10.53/3.51 tff(f1942,plain,( 10.53/3.51 ( ! [X2 : 'A_ltln$',X3 : 'A_ltln$',X0 : 'Nat_a_set_fun$',X1 : 'A_ltln_a_ltln_bool_fun_fun$'] : (~'fun_app$b'('fun_app$c'(X1,X3),X2) | 'fun_app$b'('semantics_ltln$'(X0),X3) | ~'fun_app$b'('semantics_ltln$'(X0),X2) | ~'ltl_equivalence$'(X1)) )), 10.53/3.51 inference(cnf_transformation,[],[f1509])). 10.53/3.51 tff(f4080,plain,( 10.53/3.51 ~spl59_35 | spl59_6), 10.53/3.51 inference(avatar_split_clause,[],[f3981,f3307,f4077])). 10.53/3.51 tff(f4077,definition,( 10.53/3.51 spl59_35 <=> 'fun_app$b'('fun_app$c'('eq$','true_ltln$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')))), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_35])],[avatar_definition])). 10.53/3.51 tff(f3981,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('eq$','true_ltln$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))) | spl59_6), 10.53/3.51 inference(unit_resulting_resolution,[],[f1656,f3308,f1641])). 10.53/3.51 tff(f1641,plain,( 10.53/3.51 ( ! [X2 : 'Nat_a_set_fun$',X0 : 'A_ltln$',X1 : 'A_ltln$'] : (~'fun_app$b'('fun_app$c'('eq$',X0),X1) | 'fun_app$b'('semantics_ltln$'(X2),X1) | ~'fun_app$b'('semantics_ltln$'(X2),X0)) )), 10.53/3.51 inference(cnf_transformation,[],[f1273])). 10.53/3.51 tff(f1273,plain,( 10.53/3.51 ! [X0 : 'A_ltln$',X1 : 'A_ltln$',X2 : 'Nat_a_set_fun$'] : ((('fun_app$b'('semantics_ltln$'(X2),X1) | ~'fun_app$b'('semantics_ltln$'(X2),X0)) & ('fun_app$b'('semantics_ltln$'(X2),X0) | ~'fun_app$b'('semantics_ltln$'(X2),X1))) | ~'fun_app$b'('fun_app$c'('eq$',X0),X1))), 10.53/3.51 inference(rectify,[],[f1272])). 10.53/3.51 tff(f1272,plain,( 10.53/3.51 ! [X1 : 'A_ltln$',X0 : 'A_ltln$',X2 : 'Nat_a_set_fun$'] : ((('fun_app$b'('semantics_ltln$'(X2),X0) | ~'fun_app$b'('semantics_ltln$'(X2),X1)) & ('fun_app$b'('semantics_ltln$'(X2),X1) | ~'fun_app$b'('semantics_ltln$'(X2),X0))) | ~'fun_app$b'('fun_app$c'('eq$',X1),X0))), 10.53/3.51 inference(nnf_transformation,[],[f1211])). 10.53/3.51 tff(f1211,plain,( 10.53/3.51 ! [X1 : 'A_ltln$',X0 : 'A_ltln$',X2 : 'Nat_a_set_fun$'] : (('fun_app$b'('semantics_ltln$'(X2),X0) <=> 'fun_app$b'('semantics_ltln$'(X2),X1)) | ~'fun_app$b'('fun_app$c'('eq$',X1),X0))), 10.53/3.51 inference(ennf_transformation,[],[f858])). 10.53/3.51 tff(f858,plain,( 10.53/3.51 ! [X1 : 'A_ltln$',X0 : 'A_ltln$',X2 : 'Nat_a_set_fun$'] : ('fun_app$b'('fun_app$c'('eq$',X1),X0) => ('fun_app$b'('semantics_ltln$'(X2),X0) <=> 'fun_app$b'('semantics_ltln$'(X2),X1)))), 10.53/3.51 inference(rectify,[],[f516])). 10.53/3.51 tff(f516,axiom,( 10.53/3.51 ! [X1 : 'A_ltln$',X0 : 'A_ltln$',X2 : 'Nat_a_set_fun$'] : ('fun_app$b'('fun_app$c'('eq$',X0),X1) => ('fun_app$b'('semantics_ltln$'(X2),X1) <=> 'fun_app$b'('semantics_ltln$'(X2),X0)))), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f4075,plain,( 10.53/3.51 ~spl59_34 | spl59_6), 10.53/3.51 inference(avatar_split_clause,[],[f4024,f3307,f4072])). 10.53/3.51 tff(f4072,definition,( 10.53/3.51 spl59_34 <=> 'fun_app$b'('fun_app$c'('ltl_prop_equiv$','fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))),'true_ltln$')), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_34])],[avatar_definition])). 10.53/3.51 tff(f4024,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('ltl_prop_equiv$','fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))),'true_ltln$') | spl59_6), 10.53/3.51 inference(unit_resulting_resolution,[],[f1883,f1656,f3308,f1942])). 10.53/3.51 tff(f1883,plain,( 10.53/3.51 'ltl_equivalence$'('ltl_prop_equiv$')), 10.53/3.51 inference(cnf_transformation,[],[f513])). 10.53/3.51 tff(f513,axiom,( 10.53/3.51 'ltl_equivalence$'('ltl_prop_equiv$')), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f4070,plain,( 10.53/3.51 ~spl59_33 | spl59_6), 10.53/3.51 inference(avatar_split_clause,[],[f3977,f3307,f4067])). 10.53/3.51 tff(f4067,definition,( 10.53/3.51 spl59_33 <=> 'fun_app$b'('fun_app$c'('eq$','fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))),'true_ltln$')), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_33])],[avatar_definition])). 10.53/3.51 tff(f3977,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('eq$','fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))),'true_ltln$') | spl59_6), 10.53/3.51 inference(unit_resulting_resolution,[],[f1656,f3308,f1640])). 10.53/3.51 tff(f1640,plain,( 10.53/3.51 ( ! [X2 : 'Nat_a_set_fun$',X0 : 'A_ltln$',X1 : 'A_ltln$'] : (~'fun_app$b'('fun_app$c'('eq$',X0),X1) | ~'fun_app$b'('semantics_ltln$'(X2),X1) | 'fun_app$b'('semantics_ltln$'(X2),X0)) )), 10.53/3.51 inference(cnf_transformation,[],[f1273])). 10.53/3.51 tff(f4065,plain,( 10.53/3.51 ~spl59_32 | spl59_6), 10.53/3.51 inference(avatar_split_clause,[],[f3989,f3307,f4062])). 10.53/3.51 tff(f4062,definition,( 10.53/3.51 spl59_32 <=> 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','true_ltln$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')))), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_32])],[avatar_definition])). 10.53/3.51 tff(f3989,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','true_ltln$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))) | spl59_6), 10.53/3.51 inference(unit_resulting_resolution,[],[f1656,f3308,f1659])). 10.53/3.51 tff(f1659,plain,( 10.53/3.51 ( ! [X3 : 'Nat_a_set_fun$',X0 : 'A_ltln$',X1 : 'A_ltln$'] : (~'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X1),X0) | ~'fun_app$b'('semantics_ltln$'(X3),X1) | 'fun_app$b'('semantics_ltln$'(X3),X0)) )), 10.53/3.51 inference(cnf_transformation,[],[f1290])). 10.53/3.51 tff(f3819,plain,( 10.53/3.51 ~spl59_31 | spl59_9), 10.53/3.51 inference(avatar_split_clause,[],[f3790,f3382,f3816])). 10.53/3.51 tff(f3816,definition,( 10.53/3.51 spl59_31 <=> 'fun_app$b'('fun_app$c'('eq$','false_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_31])],[avatar_definition])). 10.53/3.51 tff(f3790,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('eq$','false_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')) | spl59_9), 10.53/3.51 inference(resolution,[],[f3384,f1799])). 10.53/3.51 tff(f1799,plain,( 10.53/3.51 ( ! [X0 : 'A_ltln$',X1 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'('ltl_lang_equiv$',X0),X1) | ~'fun_app$b'('fun_app$c'('eq$',X0),X1)) )), 10.53/3.51 inference(cnf_transformation,[],[f1082])). 10.53/3.51 tff(f1082,plain,( 10.53/3.51 ! [X0 : 'A_ltln$',X1 : 'A_ltln$'] : (~'fun_app$b'('fun_app$c'('eq$',X0),X1) | 'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X0),X1))), 10.53/3.51 inference(ennf_transformation,[],[f372])). 10.53/3.51 tff(f372,axiom,( 10.53/3.51 ! [X0 : 'A_ltln$',X1 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'('eq$',X0),X1) => 'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X0),X1))), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f3384,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','false_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')) | spl59_9), 10.53/3.51 inference(avatar_component_clause,[],[f3382])). 10.53/3.51 tff(f3814,plain,( 10.53/3.51 ~spl59_30 | spl59_9), 10.53/3.51 inference(avatar_split_clause,[],[f3785,f3382,f3811])). 10.53/3.51 tff(f3811,definition,( 10.53/3.51 spl59_30 <=> 'fun_app$b'('fun_app$c'('ltl_const_equiv$','false_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_30])],[avatar_definition])). 10.53/3.51 tff(f3785,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('ltl_const_equiv$','false_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')) | spl59_9), 10.53/3.51 inference(unit_resulting_resolution,[],[f1673,f3384,f1830])). 10.53/3.51 tff(f1673,plain,( 10.53/3.51 'less_eq$'('ltl_const_equiv$','ltl_lang_equiv$')), 10.53/3.51 inference(cnf_transformation,[],[f467])). 10.53/3.51 tff(f467,axiom,( 10.53/3.51 'less_eq$'('ltl_const_equiv$','ltl_lang_equiv$')), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f3808,plain,( 10.53/3.51 spl59_29 | spl59_9), 10.53/3.51 inference(avatar_split_clause,[],[f3745,f3382,f3805])). 10.53/3.51 tff(f3805,definition,( 10.53/3.51 spl59_29 <=> 'fun_app$b'('semantics_ltln$'(sK12('fun_app$e'('release_ltln$'('false_ltln$'),'phi$'),'false_ltln$')),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_29])],[avatar_definition])). 10.53/3.51 tff(f3745,plain,( 10.53/3.51 'fun_app$b'('semantics_ltln$'(sK12('fun_app$e'('release_ltln$'('false_ltln$'),'phi$'),'false_ltln$')),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')) | spl59_9), 10.53/3.51 inference(unit_resulting_resolution,[],[f1803,f3384,f1660])). 10.53/3.51 tff(f1660,plain,( 10.53/3.51 ( ! [X0 : 'A_ltln$',X1 : 'A_ltln$'] : ('fun_app$b'('semantics_ltln$'(sK12(X0,X1)),X1) | 'fun_app$b'('semantics_ltln$'(sK12(X0,X1)),X0) | 'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X1),X0)) )), 10.53/3.51 inference(cnf_transformation,[],[f1290])). 10.53/3.51 tff(f1803,plain,( 10.53/3.51 ( ! [X0 : 'Nat_a_set_fun$'] : (~'fun_app$b'('semantics_ltln$'(X0),'false_ltln$')) )), 10.53/3.51 inference(cnf_transformation,[],[f906])). 10.53/3.51 tff(f906,plain,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$'] : ~'fun_app$b'('semantics_ltln$'(X0),'false_ltln$')), 10.53/3.51 inference(flattening,[],[f905])). 10.53/3.51 tff(f905,plain,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$'] : ~'fun_app$b'('semantics_ltln$'(X0),'false_ltln$')), 10.53/3.51 inference(true_and_false_elimination,[],[f446])). 10.53/3.51 tff(f446,axiom,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$'] : ('fun_app$b'('semantics_ltln$'(X0),'false_ltln$') <=> $false)), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f3803,plain,( 10.53/3.51 ~spl59_28 | spl59_9), 10.53/3.51 inference(avatar_split_clause,[],[f3749,f3382,f3800])). 10.53/3.51 tff(f3749,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('ltl_prop_equiv$','false_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')) | spl59_9), 10.53/3.51 inference(unit_resulting_resolution,[],[f1883,f3384,f1773])). 10.53/3.51 tff(f1773,plain,( 10.53/3.51 ( ! [X2 : 'A_ltln$',X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'('ltl_lang_equiv$',X1),X2) | ~'fun_app$b'('fun_app$c'(X0,X1),X2) | ~'ltl_equivalence$'(X0)) )), 10.53/3.51 inference(cnf_transformation,[],[f1376])). 10.53/3.51 tff(f1376,plain,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$',X2 : 'A_ltln$'] : (~'ltl_equivalence$'(X0) | 'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X1),X2) | ~'fun_app$b'('fun_app$c'(X0,X1),X2))), 10.53/3.51 inference(rectify,[],[f1210])). 10.53/3.51 tff(f1210,plain,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X2 : 'A_ltln$',X1 : 'A_ltln$'] : (~'ltl_equivalence$'(X0) | 'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X2),X1) | ~'fun_app$b'('fun_app$c'(X0,X2),X1))), 10.53/3.51 inference(flattening,[],[f1209])). 10.53/3.51 tff(f1209,plain,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X2 : 'A_ltln$',X1 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'('ltl_lang_equiv$',X2),X1) | (~'ltl_equivalence$'(X0) | ~'fun_app$b'('fun_app$c'(X0,X2),X1)))), 10.53/3.51 inference(ennf_transformation,[],[f991])). 10.53/3.51 tff(f991,plain,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X2 : 'A_ltln$',X1 : 'A_ltln$'] : (('ltl_equivalence$'(X0) & 'fun_app$b'('fun_app$c'(X0,X2),X1)) => 'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X2),X1))), 10.53/3.51 inference(rectify,[],[f594])). 10.53/3.51 tff(f594,axiom,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X2 : 'A_ltln$',X1 : 'A_ltln$'] : (('ltl_equivalence$'(X0) & 'fun_app$b'('fun_app$c'(X0,X1),X2)) => 'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X1),X2))), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f3743,plain,( 10.53/3.51 spl59_26 | spl59_27 | ~spl59_2), 10.53/3.51 inference(avatar_split_clause,[],[f3717,f2174,f3741,f3738])). 10.53/3.51 tff(f3717,plain,( 10.53/3.51 ( ! [X0 : 'Nat$',X1 : 'Nat$'] : (~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',sK46('w$','phi$')),X1))),'false_ltln$') | ~$less('fun_app$g'('of_nat$',sK17),'fun_app$g'('of_nat$',sK47('w$','phi$',X0)))) ) | ~spl59_2), 10.53/3.51 inference(resolution,[],[f2175,f2018])). 10.53/3.51 tff(f2018,plain,( 10.53/3.51 ( ! [X3 : 'Nat$',X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$',X4 : 'Nat$'] : ('fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),X1),'fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,'nat$'(0)),sK47(X0,X1,X4)))),'false_ltln$') | ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,sK46(X0,X1)),X3))),'false_ltln$')) )), 10.53/3.51 inference(cnf_transformation,[],[f1564])). 10.53/3.51 tff(f3716,plain,( 10.53/3.51 ~spl59_25 | spl59_14), 10.53/3.51 inference(avatar_split_clause,[],[f3611,f3528,f3713])). 10.53/3.51 tff(f3713,definition,( 10.53/3.51 spl59_25 <=> 'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('release_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')))), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_25])],[avatar_definition])). 10.53/3.51 tff(f3528,definition,( 10.53/3.51 spl59_14 <=> 'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_14])],[avatar_definition])). 10.53/3.51 tff(f3611,plain,( 10.53/3.51 ~'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('release_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))) | spl59_14), 10.53/3.51 inference(unit_resulting_resolution,[],[f3530,f1791])). 10.53/3.51 tff(f3530,plain,( 10.53/3.51 ~'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')) | spl59_14), 10.53/3.51 inference(avatar_component_clause,[],[f3528])). 10.53/3.51 tff(f3711,plain,( 10.53/3.51 ~spl59_24 | spl59_14), 10.53/3.51 inference(avatar_split_clause,[],[f3656,f3528,f3708])). 10.53/3.51 tff(f3708,definition,( 10.53/3.51 spl59_24 <=> 'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('until_ltln$'('false_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')))), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_24])],[avatar_definition])). 10.53/3.51 tff(f3656,plain,( 10.53/3.51 ~'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('until_ltln$'('false_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))) | spl59_14), 10.53/3.51 inference(unit_resulting_resolution,[],[f3530,f1979])). 10.53/3.51 tff(f3706,plain,( 10.53/3.51 ~spl59_23 | spl59_14), 10.53/3.51 inference(avatar_split_clause,[],[f3599,f3528,f3703])). 10.53/3.51 tff(f3703,definition,( 10.53/3.51 spl59_23 <=> 'fun_app$b'('fun_app$c'('ltl_prop_equiv$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'true_ltln$')), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_23])],[avatar_definition])). 10.53/3.51 tff(f3599,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('ltl_prop_equiv$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'true_ltln$') | spl59_14), 10.53/3.51 inference(unit_resulting_resolution,[],[f1656,f3530,f1691])). 10.53/3.51 tff(f1691,plain,( 10.53/3.51 ( ! [X2 : 'A_ltln$',X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : (~'fun_app$b'('fun_app$c'('ltl_prop_equiv$',X1),X2) | ~'fun_app$b'('semantics_ltln$'(X0),X2) | 'fun_app$b'('semantics_ltln$'(X0),X1)) )), 10.53/3.51 inference(cnf_transformation,[],[f1313])). 10.53/3.51 tff(f3701,plain,( 10.53/3.51 ~spl59_22 | spl59_14), 10.53/3.51 inference(avatar_split_clause,[],[f3603,f3528,f3698])). 10.53/3.51 tff(f3698,definition,( 10.53/3.51 spl59_22 <=> 'fun_app$b'('fun_app$c'('ltl_prop_equiv$','true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_22])],[avatar_definition])). 10.53/3.51 tff(f3603,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('ltl_prop_equiv$','true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')) | spl59_14), 10.53/3.51 inference(unit_resulting_resolution,[],[f1656,f3530,f1692])). 10.53/3.51 tff(f3696,plain,( 10.53/3.51 ~spl59_21 | spl59_14), 10.53/3.51 inference(avatar_split_clause,[],[f3633,f3528,f3693])). 10.53/3.51 tff(f3693,definition,( 10.53/3.51 spl59_21 <=> 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'true_ltln$')), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_21])],[avatar_definition])). 10.53/3.51 tff(f3633,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'true_ltln$') | spl59_14), 10.53/3.51 inference(unit_resulting_resolution,[],[f1930,f1656,f3530,f1942])). 10.53/3.51 tff(f1930,plain,( 10.53/3.51 'ltl_equivalence$'('ltl_lang_equiv$')), 10.53/3.51 inference(cnf_transformation,[],[f434])). 10.53/3.51 tff(f434,axiom,( 10.53/3.51 'ltl_equivalence$'('ltl_lang_equiv$')), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f3691,plain,( 10.53/3.51 ~spl59_20 | spl59_14), 10.53/3.51 inference(avatar_split_clause,[],[f3595,f3528,f3688])). 10.53/3.51 tff(f3688,definition,( 10.53/3.51 spl59_20 <=> 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_20])],[avatar_definition])). 10.53/3.51 tff(f3595,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')) | spl59_14), 10.53/3.51 inference(unit_resulting_resolution,[],[f1656,f3530,f1659])). 10.53/3.51 tff(f3686,plain,( 10.53/3.51 ~spl59_19 | spl59_14), 10.53/3.51 inference(avatar_split_clause,[],[f3632,f3528,f3683])). 10.53/3.51 tff(f3683,definition,( 10.53/3.51 spl59_19 <=> 'fun_app$b'('fun_app$c'('eq$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'true_ltln$')), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_19])],[avatar_definition])). 10.53/3.51 tff(f3632,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('eq$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'true_ltln$') | spl59_14), 10.53/3.51 inference(unit_resulting_resolution,[],[f2033,f1656,f3530,f1942])). 10.53/3.51 tff(f3681,plain,( 10.53/3.51 ~spl59_18 | spl59_14), 10.53/3.51 inference(avatar_split_clause,[],[f3664,f3528,f3678])). 10.53/3.51 tff(f3678,definition,( 10.53/3.51 spl59_18 <=> 'fun_app$b'('fun_app$c'('ltl_const_equiv$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'true_ltln$')), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_18])],[avatar_definition])). 10.53/3.51 tff(f3664,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('ltl_const_equiv$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'true_ltln$') | spl59_14), 10.53/3.51 inference(unit_resulting_resolution,[],[f1656,f3530,f2004])). 10.53/3.51 tff(f2004,plain,( 10.53/3.51 ( ! [X2 : 'A_ltln$',X0 : 'A_ltln$',X1 : 'Nat_a_set_fun$'] : (~'fun_app$b'('fun_app$c'('ltl_const_equiv$',X0),X2) | ~'fun_app$b'('semantics_ltln$'(X1),X2) | 'fun_app$b'('semantics_ltln$'(X1),X0)) )), 10.53/3.51 inference(cnf_transformation,[],[f1549])). 10.53/3.51 tff(f1549,plain,( 10.53/3.51 ! [X0 : 'A_ltln$',X1 : 'Nat_a_set_fun$',X2 : 'A_ltln$'] : ((('fun_app$b'('semantics_ltln$'(X1),X0) | ~'fun_app$b'('semantics_ltln$'(X1),X2)) & ('fun_app$b'('semantics_ltln$'(X1),X2) | ~'fun_app$b'('semantics_ltln$'(X1),X0))) | ~'fun_app$b'('fun_app$c'('ltl_const_equiv$',X0),X2))), 10.53/3.51 inference(rectify,[],[f1548])). 10.53/3.51 tff(f1548,plain,( 10.53/3.51 ! [X0 : 'A_ltln$',X2 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : ((('fun_app$b'('semantics_ltln$'(X2),X0) | ~'fun_app$b'('semantics_ltln$'(X2),X1)) & ('fun_app$b'('semantics_ltln$'(X2),X1) | ~'fun_app$b'('semantics_ltln$'(X2),X0))) | ~'fun_app$b'('fun_app$c'('ltl_const_equiv$',X0),X1))), 10.53/3.51 inference(nnf_transformation,[],[f1185])). 10.53/3.51 tff(f1185,plain,( 10.53/3.51 ! [X0 : 'A_ltln$',X2 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : (('fun_app$b'('semantics_ltln$'(X2),X0) <=> 'fun_app$b'('semantics_ltln$'(X2),X1)) | ~'fun_app$b'('fun_app$c'('ltl_const_equiv$',X0),X1))), 10.53/3.51 inference(ennf_transformation,[],[f424])). 10.53/3.51 tff(f424,axiom,( 10.53/3.51 ! [X0 : 'A_ltln$',X1 : 'A_ltln$',X2 : 'Nat_a_set_fun$'] : ('fun_app$b'('fun_app$c'('ltl_const_equiv$',X0),X1) => ('fun_app$b'('semantics_ltln$'(X2),X0) <=> 'fun_app$b'('semantics_ltln$'(X2),X1)))), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f3676,plain,( 10.53/3.51 ~spl59_17 | spl59_14), 10.53/3.51 inference(avatar_split_clause,[],[f3649,f3528,f3673])). 10.53/3.51 tff(f3673,definition,( 10.53/3.51 spl59_17 <=> 'fun_app$b'('fun_app$c'('eq$','true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_17])],[avatar_definition])). 10.53/3.51 tff(f3649,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('eq$','true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')) | spl59_14), 10.53/3.51 inference(unit_resulting_resolution,[],[f2033,f1656,f3530,f1943])). 10.53/3.51 tff(f3671,plain,( 10.53/3.51 ~spl59_16 | spl59_14), 10.53/3.51 inference(avatar_split_clause,[],[f3659,f3528,f3668])). 10.53/3.51 tff(f3668,definition,( 10.53/3.51 spl59_16 <=> 'fun_app$b'('fun_app$c'('ltl_const_equiv$','true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_16])],[avatar_definition])). 10.53/3.51 tff(f3659,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('ltl_const_equiv$','true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')) | spl59_14), 10.53/3.51 inference(unit_resulting_resolution,[],[f1656,f3530,f2003])). 10.53/3.51 tff(f2003,plain,( 10.53/3.51 ( ! [X2 : 'A_ltln$',X0 : 'A_ltln$',X1 : 'Nat_a_set_fun$'] : (~'fun_app$b'('fun_app$c'('ltl_const_equiv$',X0),X2) | 'fun_app$b'('semantics_ltln$'(X1),X2) | ~'fun_app$b'('semantics_ltln$'(X1),X0)) )), 10.53/3.51 inference(cnf_transformation,[],[f1549])). 10.53/3.51 tff(f3578,plain,( 10.53/3.51 ~spl59_6 | ~spl59_3), 10.53/3.51 inference(avatar_split_clause,[],[f3413,f2178,f3307])). 10.53/3.51 tff(f3413,plain,( 10.53/3.51 ~'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))) | ~spl59_3), 10.53/3.51 inference(unit_resulting_resolution,[],[f1930,f1739,f2179,f2026])). 10.53/3.51 tff(f2026,plain,( 10.53/3.51 ( ! [X2 : 'Nat_a_set_fun$',X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$',X6 : 'Nat$'] : (~'fun_app$b'('fun_app$c'(X0,'fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X2,sK49(X0,X1,X2)),X6))),'false_ltln$') | ~'ltl_equivalence$'(X0) | ~'fun_app$b'('semantics_ltln$'(X2),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X1))) | ~'member$'(X1,'nu_LTL$')) )), 10.53/3.51 inference(cnf_transformation,[],[f1572])). 10.53/3.51 tff(f3576,plain,( 10.53/3.51 ~spl59_3 | ~spl59_6), 10.53/3.51 inference(avatar_contradiction_clause,[],[f3575])). 10.53/3.51 tff(f3575,plain,( 10.53/3.51 $false | (~spl59_3 | ~spl59_6)), 10.53/3.51 inference(subsumption_resolution,[],[f3571,f1930])). 10.53/3.51 tff(f3571,plain,( 10.53/3.51 ~'ltl_equivalence$'('ltl_lang_equiv$') | (~spl59_3 | ~spl59_6)), 10.53/3.51 inference(subsumption_resolution,[],[f3536,f1739])). 10.53/3.51 tff(f3536,plain,( 10.53/3.51 ~'member$'('phi$','nu_LTL$') | ~'ltl_equivalence$'('ltl_lang_equiv$') | (~spl59_3 | ~spl59_6)), 10.53/3.51 inference(subsumption_resolution,[],[f3504,f3309])). 10.53/3.51 tff(f3309,plain,( 10.53/3.51 'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))) | ~spl59_6), 10.53/3.51 inference(avatar_component_clause,[],[f3307])). 10.53/3.51 tff(f3504,plain,( 10.53/3.51 ~'ltl_equivalence$'('ltl_lang_equiv$') | ~'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))) | ~'member$'('phi$','nu_LTL$') | ~spl59_3), 10.53/3.51 inference(resolution,[],[f2179,f2026])). 10.53/3.51 tff(f3574,plain,( 10.53/3.51 ~spl59_15 | ~spl59_14 | ~spl59_3), 10.53/3.51 inference(avatar_split_clause,[],[f3562,f2178,f3528,f3538])). 10.53/3.51 tff(f3538,definition,( 10.53/3.51 spl59_15 <=> 'member$'('fun_app$e'('release_ltln$'('false_ltln$'),'phi$'),'nu_LTL$')), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_15])],[avatar_definition])). 10.53/3.51 tff(f3562,plain,( 10.53/3.51 ~'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')) | ~'member$'('fun_app$e'('release_ltln$'('false_ltln$'),'phi$'),'nu_LTL$') | ~spl59_3), 10.53/3.51 inference(subsumption_resolution,[],[f3508,f1930])). 10.53/3.51 tff(f3508,plain,( 10.53/3.51 ~'member$'('fun_app$e'('release_ltln$'('false_ltln$'),'phi$'),'nu_LTL$') | ~'ltl_equivalence$'('ltl_lang_equiv$') | ~'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')) | ~spl59_3), 10.53/3.51 inference(resolution,[],[f2179,f1760])). 10.53/3.51 tff(f1760,plain,( 10.53/3.51 ( ! [X2 : 'Nat_a_set_fun$',X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$',X4 : 'Nat$'] : (~'fun_app$b'('fun_app$c'(X0,'fun_app$d'('foldl$'('af_letter$',X1),'fun_app$f'('subsequence$'(X2,'nat$'(0)),X4))),'false_ltln$') | ~'ltl_equivalence$'(X0) | ~'fun_app$b'('semantics_ltln$'(X2),X1) | ~'member$'(X1,'nu_LTL$')) )), 10.53/3.51 inference(cnf_transformation,[],[f1371])). 10.53/3.51 tff(f1371,plain,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$',X2 : 'Nat_a_set_fun$'] : (~'member$'(X1,'nu_LTL$') | (('fun_app$b'('semantics_ltln$'(X2),X1) | 'fun_app$b'('fun_app$c'(X0,'fun_app$d'('foldl$'('af_letter$',X1),'fun_app$f'('subsequence$'(X2,'nat$'(0)),sK24(X0,X1,X2)))),'false_ltln$')) & (! [X4 : 'Nat$'] : ~'fun_app$b'('fun_app$c'(X0,'fun_app$d'('foldl$'('af_letter$',X1),'fun_app$f'('subsequence$'(X2,'nat$'(0)),X4))),'false_ltln$') | ~'fun_app$b'('semantics_ltln$'(X2),X1))) | ~'ltl_equivalence$'(X0))), 10.53/3.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f1369,f1370])). 10.53/3.51 tff(f1370,plain,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$',X2 : 'Nat_a_set_fun$'] : (? [X3 : 'Nat$'] : 'fun_app$b'('fun_app$c'(X0,'fun_app$d'('foldl$'('af_letter$',X1),'fun_app$f'('subsequence$'(X2,'nat$'(0)),X3))),'false_ltln$') => 'fun_app$b'('fun_app$c'(X0,'fun_app$d'('foldl$'('af_letter$',X1),'fun_app$f'('subsequence$'(X2,'nat$'(0)),sK24(X0,X1,X2)))),'false_ltln$'))), 10.53/3.51 introduced(definition,[],[choice_axiom])). 10.53/3.51 tff(f1369,plain,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$',X2 : 'Nat_a_set_fun$'] : (~'member$'(X1,'nu_LTL$') | (('fun_app$b'('semantics_ltln$'(X2),X1) | ? [X3 : 'Nat$'] : 'fun_app$b'('fun_app$c'(X0,'fun_app$d'('foldl$'('af_letter$',X1),'fun_app$f'('subsequence$'(X2,'nat$'(0)),X3))),'false_ltln$')) & (! [X4 : 'Nat$'] : ~'fun_app$b'('fun_app$c'(X0,'fun_app$d'('foldl$'('af_letter$',X1),'fun_app$f'('subsequence$'(X2,'nat$'(0)),X4))),'false_ltln$') | ~'fun_app$b'('semantics_ltln$'(X2),X1))) | ~'ltl_equivalence$'(X0))), 10.53/3.51 inference(rectify,[],[f1368])). 10.53/3.51 tff(f1368,plain,( 10.53/3.51 ! [X2 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$',X0 : 'Nat_a_set_fun$'] : (~'member$'(X1,'nu_LTL$') | (('fun_app$b'('semantics_ltln$'(X0),X1) | ? [X3 : 'Nat$'] : 'fun_app$b'('fun_app$c'(X2,'fun_app$d'('foldl$'('af_letter$',X1),'fun_app$f'('subsequence$'(X0,'nat$'(0)),X3))),'false_ltln$')) & (! [X3 : 'Nat$'] : ~'fun_app$b'('fun_app$c'(X2,'fun_app$d'('foldl$'('af_letter$',X1),'fun_app$f'('subsequence$'(X0,'nat$'(0)),X3))),'false_ltln$') | ~'fun_app$b'('semantics_ltln$'(X0),X1))) | ~'ltl_equivalence$'(X2))), 10.53/3.51 inference(nnf_transformation,[],[f1002])). 10.53/3.51 tff(f1002,plain,( 10.53/3.51 ! [X2 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$',X0 : 'Nat_a_set_fun$'] : (~'member$'(X1,'nu_LTL$') | ('fun_app$b'('semantics_ltln$'(X0),X1) <=> ! [X3 : 'Nat$'] : ~'fun_app$b'('fun_app$c'(X2,'fun_app$d'('foldl$'('af_letter$',X1),'fun_app$f'('subsequence$'(X0,'nat$'(0)),X3))),'false_ltln$')) | ~'ltl_equivalence$'(X2))), 10.53/3.51 inference(flattening,[],[f1001])). 10.53/3.51 tff(f1001,plain,( 10.53/3.51 ! [X2 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$',X0 : 'Nat_a_set_fun$'] : (('fun_app$b'('semantics_ltln$'(X0),X1) <=> ! [X3 : 'Nat$'] : ~'fun_app$b'('fun_app$c'(X2,'fun_app$d'('foldl$'('af_letter$',X1),'fun_app$f'('subsequence$'(X0,'nat$'(0)),X3))),'false_ltln$')) | (~'ltl_equivalence$'(X2) | ~'member$'(X1,'nu_LTL$')))), 10.53/3.51 inference(ennf_transformation,[],[f972])). 10.53/3.51 tff(f972,plain,( 10.53/3.51 ! [X2 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$',X0 : 'Nat_a_set_fun$'] : (('ltl_equivalence$'(X2) & 'member$'(X1,'nu_LTL$')) => ('fun_app$b'('semantics_ltln$'(X0),X1) <=> ! [X3 : 'Nat$'] : ~'fun_app$b'('fun_app$c'(X2,'fun_app$d'('foldl$'('af_letter$',X1),'fun_app$f'('subsequence$'(X0,'nat$'(0)),X3))),'false_ltln$')))), 10.53/3.51 inference(rectify,[],[f15])). 10.53/3.51 tff(f15,axiom,( 10.53/3.51 ! [X2 : 'Nat_a_set_fun$',X1 : 'A_ltln$',X0 : 'A_ltln_a_ltln_bool_fun_fun$'] : (('member$'(X1,'nu_LTL$') & 'ltl_equivalence$'(X0)) => (! [X3 : 'Nat$'] : ~'fun_app$b'('fun_app$c'(X0,'fun_app$d'('foldl$'('af_letter$',X1),'fun_app$f'('subsequence$'(X2,'nat$'(0)),X3))),'false_ltln$') <=> 'fun_app$b'('semantics_ltln$'(X2),X1)))), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f3573,plain,( 10.53/3.51 ~spl59_3 | ~spl59_6), 10.53/3.51 inference(avatar_contradiction_clause,[],[f3572])). 10.53/3.51 tff(f3572,plain,( 10.53/3.51 $false | (~spl59_3 | ~spl59_6)), 10.53/3.51 inference(subsumption_resolution,[],[f3550,f1739])). 10.53/3.51 tff(f3550,plain,( 10.53/3.51 ~'member$'('phi$','nu_LTL$') | (~spl59_3 | ~spl59_6)), 10.53/3.51 inference(subsumption_resolution,[],[f3503,f3309])). 10.53/3.51 tff(f3503,plain,( 10.53/3.51 ~'member$'('phi$','nu_LTL$') | ~'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))) | ~spl59_3), 10.53/3.51 inference(resolution,[],[f2179,f1742])). 10.53/3.51 tff(f1742,plain,( 10.53/3.51 ( ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$',X5 : 'Nat$'] : (~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,sK21(X0,X1)),X5))),'false_ltln$') | ~'member$'(X1,'nu_LTL$') | ~'fun_app$b'('semantics_ltln$'(X0),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X1)))) )), 10.53/3.51 inference(cnf_transformation,[],[f1355])). 10.53/3.51 tff(f1355,plain,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : ((('fun_app$b'('semantics_ltln$'(X0),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X1))) | ! [X2 : 'Nat$'] : 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,X2),sK20(X0,X1,X2)))),'false_ltln$')) & (! [X5 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,sK21(X0,X1)),X5))),'false_ltln$') | ~'fun_app$b'('semantics_ltln$'(X0),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X1))))) | ~'member$'(X1,'nu_LTL$'))), 10.53/3.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21])],[f1352,f1354,f1353])). 10.53/3.51 tff(f1353,plain,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$',X2 : 'Nat$'] : (? [X3 : 'Nat$'] : 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,X2),X3))),'false_ltln$') => 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,X2),sK20(X0,X1,X2)))),'false_ltln$'))), 10.53/3.51 introduced(definition,[],[choice_axiom])). 10.53/3.51 tff(f1354,plain,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : (? [X4 : 'Nat$'] : ! [X5 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,X4),X5))),'false_ltln$') => ! [X5 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,sK21(X0,X1)),X5))),'false_ltln$'))), 10.53/3.51 introduced(definition,[],[choice_axiom])). 10.53/3.51 tff(f1352,plain,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : ((('fun_app$b'('semantics_ltln$'(X0),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X1))) | ! [X2 : 'Nat$'] : ? [X3 : 'Nat$'] : 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,X2),X3))),'false_ltln$')) & (? [X4 : 'Nat$'] : ! [X5 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,X4),X5))),'false_ltln$') | ~'fun_app$b'('semantics_ltln$'(X0),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X1))))) | ~'member$'(X1,'nu_LTL$'))), 10.53/3.51 inference(rectify,[],[f1351])). 10.53/3.51 tff(f1351,plain,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : ((('fun_app$b'('semantics_ltln$'(X0),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X1))) | ! [X2 : 'Nat$'] : ? [X3 : 'Nat$'] : 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,X2),X3))),'false_ltln$')) & (? [X2 : 'Nat$'] : ! [X3 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,X2),X3))),'false_ltln$') | ~'fun_app$b'('semantics_ltln$'(X0),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X1))))) | ~'member$'(X1,'nu_LTL$'))), 10.53/3.51 inference(nnf_transformation,[],[f1072])). 10.53/3.51 tff(f1072,plain,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : (('fun_app$b'('semantics_ltln$'(X0),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X1))) <=> ? [X2 : 'Nat$'] : ! [X3 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,X2),X3))),'false_ltln$')) | ~'member$'(X1,'nu_LTL$'))), 10.53/3.51 inference(ennf_transformation,[],[f967])). 10.53/3.51 tff(f967,plain,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : ('member$'(X1,'nu_LTL$') => ('fun_app$b'('semantics_ltln$'(X0),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X1))) <=> ? [X2 : 'Nat$'] : ! [X3 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,X2),X3))),'false_ltln$')))), 10.53/3.51 inference(rectify,[],[f89])). 10.53/3.51 tff(f89,axiom,( 10.53/3.51 ! [X1 : 'Nat_a_set_fun$',X0 : 'A_ltln$'] : ('member$'(X0,'nu_LTL$') => ('fun_app$b'('semantics_ltln$'(X1),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X0))) <=> ? [X2 : 'Nat$'] : ! [X3 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X0)),'fun_app$f'('subsequence$'(X1,X2),X3))),'false_ltln$')))), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f3570,plain,( 10.53/3.51 ~spl59_1 | ~spl59_3), 10.53/3.51 inference(avatar_contradiction_clause,[],[f3569])). 10.53/3.51 tff(f3569,plain,( 10.53/3.51 $false | (~spl59_1 | ~spl59_3)), 10.53/3.51 inference(subsumption_resolution,[],[f3475,f2132])). 10.53/3.51 tff(f2132,plain,( 10.53/3.51 ( ! [X1 : 'A_ltln_a_ltln_bool_fun_fun$'] : ('less_eq$'(X1,X1)) )), 10.53/3.51 inference(equality_resolution,[],[f1861])). 10.53/3.51 tff(f1861,plain,( 10.53/3.51 ( ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln_a_ltln_bool_fun_fun$'] : ('less_eq$'(X1,X0) | X0 != X1) )), 10.53/3.51 inference(cnf_transformation,[],[f1440])). 10.53/3.51 tff(f1440,plain,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln_a_ltln_bool_fun_fun$'] : ((('less_eq$'(X0,X1) & 'less_eq$'(X1,X0)) | X0 != X1) & (X0 = X1 | ~'less_eq$'(X0,X1) | ~'less_eq$'(X1,X0)))), 10.53/3.51 inference(flattening,[],[f1439])). 10.53/3.51 tff(f1439,plain,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln_a_ltln_bool_fun_fun$'] : ((('less_eq$'(X0,X1) & 'less_eq$'(X1,X0)) | X0 != X1) & (X0 = X1 | (~'less_eq$'(X0,X1) | ~'less_eq$'(X1,X0))))), 10.53/3.51 inference(nnf_transformation,[],[f318])). 10.53/3.51 tff(f318,axiom,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln_a_ltln_bool_fun_fun$'] : (('less_eq$'(X0,X1) & 'less_eq$'(X1,X0)) <=> X0 = X1)), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f3475,plain,( 10.53/3.51 ~'less_eq$'('ltl_lang_equiv$','ltl_lang_equiv$') | (~spl59_1 | ~spl59_3)), 10.53/3.51 inference(unit_resulting_resolution,[],[f2172,f2179,f1830])). 10.53/3.51 tff(f2172,plain,( 10.53/3.51 ( ! [X5 : 'Nat$'] : (~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',sK16),X5))),'false_ltln$')) ) | ~spl59_1), 10.53/3.51 inference(avatar_component_clause,[],[f2171])). 10.53/3.51 tff(f2171,definition,( 10.53/3.51 spl59_1 <=> ! [X5 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',sK16),X5))),'false_ltln$')), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_1])],[avatar_definition])). 10.53/3.51 tff(f3567,plain,( 10.53/3.51 ~spl59_3 | ~spl59_6), 10.53/3.51 inference(avatar_contradiction_clause,[],[f3566])). 10.53/3.51 tff(f3566,plain,( 10.53/3.51 $false | (~spl59_3 | ~spl59_6)), 10.53/3.51 inference(subsumption_resolution,[],[f3411,f3309])). 10.53/3.51 tff(f3411,plain,( 10.53/3.51 ~'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))) | ~spl59_3), 10.53/3.51 inference(unit_resulting_resolution,[],[f1739,f2179,f1742])). 10.53/3.51 tff(f3560,plain,( 10.53/3.51 ~spl59_1 | ~spl59_3), 10.53/3.51 inference(avatar_contradiction_clause,[],[f3559])). 10.53/3.51 tff(f3559,plain,( 10.53/3.51 $false | (~spl59_1 | ~spl59_3)), 10.53/3.51 inference(subsumption_resolution,[],[f3452,f1671])). 10.53/3.51 tff(f1671,plain,( 10.53/3.51 ( ! [X0 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'('ltl_lang_equiv$',X0),X0)) )), 10.53/3.51 inference(cnf_transformation,[],[f363])). 10.53/3.51 tff(f363,axiom,( 10.53/3.51 ! [X0 : 'A_ltln$'] : 'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X0),X0)), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f3452,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','false_ltln$'),'false_ltln$') | (~spl59_1 | ~spl59_3)), 10.53/3.51 inference(unit_resulting_resolution,[],[f2172,f2179,f1737])). 10.53/3.51 tff(f1737,plain,( 10.53/3.51 ( ! [X2 : 'A_ltln$',X0 : 'A_ltln$',X1 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'('ltl_lang_equiv$',X2),X1) | ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X0),X1) | ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X2),X0)) )), 10.53/3.51 inference(cnf_transformation,[],[f1075])). 10.53/3.51 tff(f1075,plain,( 10.53/3.51 ! [X0 : 'A_ltln$',X1 : 'A_ltln$',X2 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'('ltl_lang_equiv$',X2),X1) | ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X0),X1) | ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X2),X0))), 10.53/3.51 inference(flattening,[],[f1074])). 10.53/3.51 tff(f1074,plain,( 10.53/3.51 ! [X2 : 'A_ltln$',X0 : 'A_ltln$',X1 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'('ltl_lang_equiv$',X2),X1) | (~'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X0),X1) | ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X2),X0)))), 10.53/3.51 inference(ennf_transformation,[],[f868])). 10.53/3.51 tff(f868,plain,( 10.53/3.51 ! [X2 : 'A_ltln$',X0 : 'A_ltln$',X1 : 'A_ltln$'] : (('fun_app$b'('fun_app$c'('ltl_lang_equiv$',X0),X1) & 'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X2),X0)) => 'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X2),X1))), 10.53/3.51 inference(rectify,[],[f183])). 10.53/3.51 tff(f183,axiom,( 10.53/3.51 ! [X1 : 'A_ltln$',X2 : 'A_ltln$',X0 : 'A_ltln$'] : (('fun_app$b'('fun_app$c'('ltl_lang_equiv$',X0),X1) & 'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X1),X2)) => 'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X0),X2))), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f3558,plain,( 10.53/3.51 ~spl59_3 | ~spl59_6), 10.53/3.51 inference(avatar_contradiction_clause,[],[f3557])). 10.53/3.51 tff(f3557,plain,( 10.53/3.51 $false | (~spl59_3 | ~spl59_6)), 10.53/3.51 inference(subsumption_resolution,[],[f3413,f3309])). 10.53/3.51 tff(f3556,plain,( 10.53/3.51 ~spl59_1 | ~spl59_3), 10.53/3.51 inference(avatar_contradiction_clause,[],[f3555])). 10.53/3.51 tff(f3555,plain,( 10.53/3.51 $false | (~spl59_1 | ~spl59_3)), 10.53/3.51 inference(subsumption_resolution,[],[f3462,f1930])). 10.53/3.51 tff(f3462,plain,( 10.53/3.51 ~'ltl_equivalence$'('ltl_lang_equiv$') | (~spl59_1 | ~spl59_3)), 10.53/3.51 inference(unit_resulting_resolution,[],[f2172,f2179,f1773])). 10.53/3.51 tff(f3554,plain,( 10.53/3.51 ~spl59_1 | ~spl59_3), 10.53/3.51 inference(avatar_contradiction_clause,[],[f3553])). 10.53/3.51 tff(f3553,plain,( 10.53/3.51 $false | (~spl59_1 | ~spl59_3)), 10.53/3.51 inference(subsumption_resolution,[],[f3483,f1671])). 10.53/3.51 tff(f3483,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','false_ltln$'),'false_ltln$') | (~spl59_1 | ~spl59_3)), 10.53/3.51 inference(unit_resulting_resolution,[],[f1930,f2172,f2179,f1905])). 10.53/3.51 tff(f1905,plain,( 10.53/3.51 ( ! [X2 : 'A_ltln$',X3 : 'A_ltln_a_ltln_bool_fun_fun$',X0 : 'A_ltln$',X1 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'(X3,X0),X2) | ~'fun_app$b'('fun_app$c'(X3,X0),X1) | ~'ltl_equivalence$'(X3) | ~'fun_app$b'('fun_app$c'(X3,X1),X2)) )), 10.53/3.51 inference(cnf_transformation,[],[f1478])). 10.53/3.51 tff(f1478,plain,( 10.53/3.51 ! [X0 : 'A_ltln$',X1 : 'A_ltln$',X2 : 'A_ltln$',X3 : 'A_ltln_a_ltln_bool_fun_fun$'] : (~'fun_app$b'('fun_app$c'(X3,X1),X2) | ~'ltl_equivalence$'(X3) | ~'fun_app$b'('fun_app$c'(X3,X0),X1) | 'fun_app$b'('fun_app$c'(X3,X0),X2))), 10.53/3.51 inference(rectify,[],[f1172])). 10.53/3.51 tff(f1172,plain,( 10.53/3.51 ! [X1 : 'A_ltln$',X3 : 'A_ltln$',X2 : 'A_ltln$',X0 : 'A_ltln_a_ltln_bool_fun_fun$'] : (~'fun_app$b'('fun_app$c'(X0,X3),X2) | ~'ltl_equivalence$'(X0) | ~'fun_app$b'('fun_app$c'(X0,X1),X3) | 'fun_app$b'('fun_app$c'(X0,X1),X2))), 10.53/3.51 inference(flattening,[],[f1171])). 10.53/3.51 tff(f1171,plain,( 10.53/3.51 ! [X3 : 'A_ltln$',X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$',X2 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'(X0,X1),X2) | (~'fun_app$b'('fun_app$c'(X0,X3),X2) | ~'ltl_equivalence$'(X0) | ~'fun_app$b'('fun_app$c'(X0,X1),X3)))), 10.53/3.51 inference(ennf_transformation,[],[f994])). 10.53/3.51 tff(f994,plain,( 10.53/3.51 ! [X3 : 'A_ltln$',X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$',X2 : 'A_ltln$'] : (('fun_app$b'('fun_app$c'(X0,X3),X2) & 'ltl_equivalence$'(X0) & 'fun_app$b'('fun_app$c'(X0,X1),X3)) => 'fun_app$b'('fun_app$c'(X0,X1),X2))), 10.53/3.51 inference(rectify,[],[f154])). 10.53/3.51 tff(f154,axiom,( 10.53/3.51 ! [X0 : 'A_ltln_a_ltln_bool_fun_fun$',X1 : 'A_ltln$',X3 : 'A_ltln$',X2 : 'A_ltln$'] : (('fun_app$b'('fun_app$c'(X0,X2),X3) & 'fun_app$b'('fun_app$c'(X0,X1),X2) & 'ltl_equivalence$'(X0)) => 'fun_app$b'('fun_app$c'(X0,X1),X3))), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f3549,plain,( 10.53/3.51 ~spl59_3 | ~spl59_6), 10.53/3.51 inference(avatar_contradiction_clause,[],[f3548])). 10.53/3.51 tff(f3548,plain,( 10.53/3.51 $false | (~spl59_3 | ~spl59_6)), 10.53/3.51 inference(subsumption_resolution,[],[f3410,f3309])). 10.53/3.51 tff(f3410,plain,( 10.53/3.51 ~'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))) | ~spl59_3), 10.53/3.51 inference(unit_resulting_resolution,[],[f2179,f1878])). 10.53/3.51 tff(f1878,plain,( 10.53/3.51 ( ! [X3 : 'Nat$'] : (~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',sK36),X3))),'false_ltln$') | ~'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')))) )), 10.53/3.51 inference(cnf_transformation,[],[f1458])). 10.53/3.51 tff(f1458,plain,( 10.53/3.51 ('fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))) | ! [X0 : 'Nat$'] : 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',X0),sK35(X0)))),'false_ltln$')) & (! [X3 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',sK36),X3))),'false_ltln$') | ~'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))))), 10.53/3.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK35,sK36])],[f1455,f1457,f1456])). 10.53/3.51 tff(f1456,plain,( 10.53/3.51 ! [X0 : 'Nat$'] : (? [X1 : 'Nat$'] : 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',X0),X1))),'false_ltln$') => 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',X0),sK35(X0)))),'false_ltln$'))), 10.53/3.51 introduced(definition,[],[choice_axiom])). 10.53/3.51 tff(f1457,plain,( 10.53/3.51 ? [X2 : 'Nat$'] : ! [X3 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',X2),X3))),'false_ltln$') => ! [X3 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',sK36),X3))),'false_ltln$')), 10.53/3.51 introduced(definition,[],[choice_axiom])). 10.53/3.51 tff(f1455,plain,( 10.53/3.51 ('fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))) | ! [X0 : 'Nat$'] : ? [X1 : 'Nat$'] : 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',X0),X1))),'false_ltln$')) & (? [X2 : 'Nat$'] : ! [X3 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',X2),X3))),'false_ltln$') | ~'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))))), 10.53/3.51 inference(rectify,[],[f1454])). 10.53/3.51 tff(f1454,plain,( 10.53/3.51 ('fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))) | ! [X0 : 'Nat$'] : ? [X1 : 'Nat$'] : 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',X0),X1))),'false_ltln$')) & (? [X0 : 'Nat$'] : ! [X1 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',X0),X1))),'false_ltln$') | ~'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))))), 10.53/3.51 inference(nnf_transformation,[],[f509])). 10.53/3.51 tff(f509,axiom,( 10.53/3.51 'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))) <=> ? [X0 : 'Nat$'] : ! [X1 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',X0),X1))),'false_ltln$')), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f3547,plain,( 10.53/3.51 ~spl59_1 | ~spl59_3), 10.53/3.51 inference(avatar_contradiction_clause,[],[f3546])). 10.53/3.51 tff(f3546,plain,( 10.53/3.51 $false | (~spl59_1 | ~spl59_3)), 10.53/3.51 inference(subsumption_resolution,[],[f3499,f2132])). 10.53/3.51 tff(f3499,plain,( 10.53/3.51 ~'less_eq$'('ltl_lang_equiv$','ltl_lang_equiv$') | (~spl59_1 | ~spl59_3)), 10.53/3.51 inference(unit_resulting_resolution,[],[f2172,f2179,f1997])). 10.53/3.51 tff(f3545,plain,( 10.53/3.51 ~spl59_1 | ~spl59_3), 10.53/3.51 inference(avatar_contradiction_clause,[],[f3544])). 10.53/3.51 tff(f3544,plain,( 10.53/3.51 $false | (~spl59_1 | ~spl59_3)), 10.53/3.51 inference(subsumption_resolution,[],[f3484,f1930])). 10.53/3.51 tff(f3484,plain,( 10.53/3.51 ~'ltl_equivalence$'('ltl_lang_equiv$') | (~spl59_1 | ~spl59_3)), 10.53/3.51 inference(unit_resulting_resolution,[],[f1671,f2172,f2179,f1905])). 10.53/3.51 tff(f3543,plain,( 10.53/3.51 ~spl59_1 | ~spl59_3), 10.53/3.51 inference(avatar_contradiction_clause,[],[f3542])). 10.53/3.51 tff(f3542,plain,( 10.53/3.51 $false | (~spl59_1 | ~spl59_3)), 10.53/3.51 inference(subsumption_resolution,[],[f3480,f1930])). 10.53/3.51 tff(f3480,plain,( 10.53/3.51 ~'ltl_equivalence$'('ltl_lang_equiv$') | (~spl59_1 | ~spl59_3)), 10.53/3.51 inference(unit_resulting_resolution,[],[f2172,f1671,f2179,f1905])). 10.53/3.51 tff(f3541,plain,( 10.53/3.51 ~spl59_15 | ~spl59_14 | ~spl59_3), 10.53/3.51 inference(avatar_split_clause,[],[f3505,f2178,f3528,f3538])). 10.53/3.51 tff(f3505,plain,( 10.53/3.51 ~'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')) | ~'member$'('fun_app$e'('release_ltln$'('false_ltln$'),'phi$'),'nu_LTL$') | ~spl59_3), 10.53/3.51 inference(resolution,[],[f2179,f1651])). 10.53/3.51 tff(f1651,plain,( 10.53/3.51 ( ! [X2 : 'Nat$',X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : (~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$',X1),'fun_app$f'('subsequence$'(X0,'nat$'(0)),X2))),'false_ltln$') | ~'fun_app$b'('semantics_ltln$'(X0),X1) | ~'member$'(X1,'nu_LTL$')) )), 10.53/3.51 inference(cnf_transformation,[],[f1284])). 10.53/3.51 tff(f1284,plain,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : (~'member$'(X1,'nu_LTL$') | ((! [X2 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$',X1),'fun_app$f'('subsequence$'(X0,'nat$'(0)),X2))),'false_ltln$') | ~'fun_app$b'('semantics_ltln$'(X0),X1)) & ('fun_app$b'('semantics_ltln$'(X0),X1) | 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$',X1),'fun_app$f'('subsequence$'(X0,'nat$'(0)),sK11(X0,X1)))),'false_ltln$'))))), 10.53/3.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f1282,f1283])). 10.53/3.51 tff(f1283,plain,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : (? [X3 : 'Nat$'] : 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$',X1),'fun_app$f'('subsequence$'(X0,'nat$'(0)),X3))),'false_ltln$') => 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$',X1),'fun_app$f'('subsequence$'(X0,'nat$'(0)),sK11(X0,X1)))),'false_ltln$'))), 10.53/3.51 introduced(definition,[],[choice_axiom])). 10.53/3.51 tff(f1282,plain,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : (~'member$'(X1,'nu_LTL$') | ((! [X2 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$',X1),'fun_app$f'('subsequence$'(X0,'nat$'(0)),X2))),'false_ltln$') | ~'fun_app$b'('semantics_ltln$'(X0),X1)) & ('fun_app$b'('semantics_ltln$'(X0),X1) | ? [X3 : 'Nat$'] : 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$',X1),'fun_app$f'('subsequence$'(X0,'nat$'(0)),X3))),'false_ltln$'))))), 10.53/3.51 inference(rectify,[],[f1281])). 10.53/3.51 tff(f1281,plain,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : (~'member$'(X1,'nu_LTL$') | ((! [X2 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$',X1),'fun_app$f'('subsequence$'(X0,'nat$'(0)),X2))),'false_ltln$') | ~'fun_app$b'('semantics_ltln$'(X0),X1)) & ('fun_app$b'('semantics_ltln$'(X0),X1) | ? [X2 : 'Nat$'] : 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$',X1),'fun_app$f'('subsequence$'(X0,'nat$'(0)),X2))),'false_ltln$'))))), 10.53/3.51 inference(nnf_transformation,[],[f1196])). 10.53/3.51 tff(f1196,plain,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : (~'member$'(X1,'nu_LTL$') | (! [X2 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$',X1),'fun_app$f'('subsequence$'(X0,'nat$'(0)),X2))),'false_ltln$') <=> 'fun_app$b'('semantics_ltln$'(X0),X1)))), 10.53/3.51 inference(ennf_transformation,[],[f973])). 10.53/3.51 tff(f973,plain,( 10.53/3.51 ! [X1 : 'A_ltln$',X0 : 'Nat_a_set_fun$'] : ('member$'(X1,'nu_LTL$') => (! [X2 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$',X1),'fun_app$f'('subsequence$'(X0,'nat$'(0)),X2))),'false_ltln$') <=> 'fun_app$b'('semantics_ltln$'(X0),X1)))), 10.53/3.51 inference(rectify,[],[f348])). 10.53/3.51 tff(f348,axiom,( 10.53/3.51 ! [X1 : 'Nat_a_set_fun$',X0 : 'A_ltln$'] : ('member$'(X0,'nu_LTL$') => (! [X2 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$',X0),'fun_app$f'('subsequence$'(X1,'nat$'(0)),X2))),'false_ltln$') <=> 'fun_app$b'('semantics_ltln$'(X1),X0)))), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f3533,plain,( 10.53/3.51 ~spl59_3 | ~spl59_6), 10.53/3.51 inference(avatar_contradiction_clause,[],[f3532])). 10.53/3.51 tff(f3532,plain,( 10.53/3.51 $false | (~spl59_3 | ~spl59_6)), 10.53/3.51 inference(subsumption_resolution,[],[f3501,f3309])). 10.53/3.51 tff(f3501,plain,( 10.53/3.51 ~'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))) | ~spl59_3), 10.53/3.51 inference(resolution,[],[f2179,f1878])). 10.53/3.51 tff(f3531,plain,( 10.53/3.51 ~spl59_14 | ~spl59_3), 10.53/3.51 inference(avatar_split_clause,[],[f3446,f2178,f3528])). 10.53/3.51 tff(f3446,plain,( 10.53/3.51 ~'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')) | ~spl59_3), 10.53/3.51 inference(unit_resulting_resolution,[],[f2179,f1875])). 10.53/3.51 tff(f1875,plain,( 10.53/3.51 ( ! [X2 : 'Nat$',X0 : 'A_ltln$',X1 : 'Nat_a_set_fun$'] : (~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$',X0),'fun_app$f'('subsequence$'(X1,'nat$'(0)),X2))),'false_ltln$') | ~'fun_app$b'('semantics_ltln$'(X1),X0)) )), 10.53/3.51 inference(cnf_transformation,[],[f1450])). 10.53/3.51 tff(f1450,plain,( 10.53/3.51 ! [X0 : 'A_ltln$',X1 : 'Nat_a_set_fun$',X2 : 'Nat$'] : (~'fun_app$b'('semantics_ltln$'(X1),X0) | ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$',X0),'fun_app$f'('subsequence$'(X1,'nat$'(0)),X2))),'false_ltln$'))), 10.53/3.51 inference(rectify,[],[f1170])). 10.53/3.51 tff(f1170,plain,( 10.53/3.51 ! [X2 : 'A_ltln$',X1 : 'Nat_a_set_fun$',X0 : 'Nat$'] : (~'fun_app$b'('semantics_ltln$'(X1),X2) | ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$',X2),'fun_app$f'('subsequence$'(X1,'nat$'(0)),X0))),'false_ltln$'))), 10.53/3.51 inference(ennf_transformation,[],[f862])). 10.53/3.51 tff(f862,plain,( 10.53/3.51 ! [X2 : 'A_ltln$',X1 : 'Nat_a_set_fun$',X0 : 'Nat$'] : ('fun_app$b'('semantics_ltln$'(X1),X2) => ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$',X2),'fun_app$f'('subsequence$'(X1,'nat$'(0)),X0))),'false_ltln$'))), 10.53/3.51 inference(rectify,[],[f263])). 10.53/3.51 tff(f263,axiom,( 10.53/3.51 ! [X2 : 'Nat$',X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : ('fun_app$b'('semantics_ltln$'(X0),X1) => ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$',X1),'fun_app$f'('subsequence$'(X0,'nat$'(0)),X2))),'false_ltln$'))), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f3526,plain,( 10.53/3.51 ~spl59_1 | ~spl59_3), 10.53/3.51 inference(avatar_contradiction_clause,[],[f3476])). 10.53/3.51 tff(f3476,plain,( 10.53/3.51 $false | (~spl59_1 | ~spl59_3)), 10.53/3.51 inference(unit_resulting_resolution,[],[f1819,f2172,f2179,f1830])). 10.53/3.51 tff(f1819,plain,( 10.53/3.51 'less_eq$'('ltl_lang_equiv$','ltl_lang_equiv$')), 10.53/3.51 inference(cnf_transformation,[],[f259])). 10.53/3.51 tff(f259,axiom,( 10.53/3.51 'less_eq$'('ltl_lang_equiv$','ltl_lang_equiv$')), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f3525,plain,( 10.53/3.51 ~spl59_1 | ~spl59_3), 10.53/3.51 inference(avatar_contradiction_clause,[],[f3481])). 10.53/3.51 tff(f3481,plain,( 10.53/3.51 $false | (~spl59_1 | ~spl59_3)), 10.53/3.51 inference(unit_resulting_resolution,[],[f1930,f2172,f1671,f2179,f1905])). 10.53/3.51 tff(f3524,plain,( 10.53/3.51 ~spl59_1 | ~spl59_3), 10.53/3.51 inference(avatar_contradiction_clause,[],[f3485])). 10.53/3.51 tff(f3485,plain,( 10.53/3.51 $false | (~spl59_1 | ~spl59_3)), 10.53/3.51 inference(unit_resulting_resolution,[],[f1930,f1671,f2172,f2179,f1905])). 10.53/3.51 tff(f3523,plain,( 10.53/3.51 ~spl59_1 | ~spl59_3), 10.53/3.51 inference(avatar_contradiction_clause,[],[f3502])). 10.53/3.51 tff(f3502,plain,( 10.53/3.51 $false | (~spl59_1 | ~spl59_3)), 10.53/3.51 inference(resolution,[],[f2179,f2172])). 10.53/3.51 tff(f3522,plain,( 10.53/3.51 ~spl59_1 | ~spl59_3), 10.53/3.51 inference(avatar_contradiction_clause,[],[f3453])). 10.53/3.51 tff(f3453,plain,( 10.53/3.51 $false | (~spl59_1 | ~spl59_3)), 10.53/3.51 inference(unit_resulting_resolution,[],[f1671,f2172,f2179,f1737])). 10.53/3.51 tff(f3521,plain,( 10.53/3.51 ~spl59_1 | ~spl59_3), 10.53/3.51 inference(avatar_contradiction_clause,[],[f3457])). 10.53/3.51 tff(f3457,plain,( 10.53/3.51 $false | (~spl59_1 | ~spl59_3)), 10.53/3.51 inference(unit_resulting_resolution,[],[f2172,f1671,f2179,f1737])). 10.53/3.51 tff(f3520,plain,( 10.53/3.51 ~spl59_1 | ~spl59_3), 10.53/3.51 inference(avatar_contradiction_clause,[],[f3409])). 10.53/3.51 tff(f3409,plain,( 10.53/3.51 $false | (~spl59_1 | ~spl59_3)), 10.53/3.51 inference(unit_resulting_resolution,[],[f2172,f2179])). 10.53/3.51 tff(f3519,plain,( 10.53/3.51 ~spl59_1 | ~spl59_3), 10.53/3.51 inference(avatar_contradiction_clause,[],[f3463])). 10.53/3.51 tff(f3463,plain,( 10.53/3.51 $false | (~spl59_1 | ~spl59_3)), 10.53/3.51 inference(unit_resulting_resolution,[],[f1930,f2172,f2179,f1773])). 10.53/3.51 tff(f3518,plain,( 10.53/3.51 ~spl59_1 | ~spl59_3), 10.53/3.51 inference(avatar_contradiction_clause,[],[f3500])). 10.53/3.51 tff(f3500,plain,( 10.53/3.51 $false | (~spl59_1 | ~spl59_3)), 10.53/3.51 inference(unit_resulting_resolution,[],[f1819,f2172,f2179,f1997])). 10.53/3.51 tff(f3407,plain,( 10.53/3.51 spl59_13 | spl59_7), 10.53/3.51 inference(avatar_split_clause,[],[f3327,f3317,f3404])). 10.53/3.51 tff(f3404,definition,( 10.53/3.51 spl59_13 <=> 'fun_app$b'('semantics_ltln$'(sK12('false_ltln$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_13])],[avatar_definition])). 10.53/3.51 tff(f3327,plain,( 10.53/3.51 'fun_app$b'('semantics_ltln$'(sK12('false_ltln$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')) | spl59_7), 10.53/3.51 inference(unit_resulting_resolution,[],[f1803,f3319,f1660])). 10.53/3.51 tff(f3319,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'false_ltln$') | spl59_7), 10.53/3.51 inference(avatar_component_clause,[],[f3317])). 10.53/3.51 tff(f3402,plain,( 10.53/3.51 ~spl59_12 | spl59_7), 10.53/3.51 inference(avatar_split_clause,[],[f3352,f3317,f3399])). 10.53/3.51 tff(f3399,definition,( 10.53/3.51 spl59_12 <=> 'fun_app$b'('fun_app$c'('ltl_const_equiv$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'false_ltln$')), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_12])],[avatar_definition])). 10.53/3.51 tff(f3352,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('ltl_const_equiv$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'false_ltln$') | spl59_7), 10.53/3.51 inference(unit_resulting_resolution,[],[f1673,f3319,f1997])). 10.53/3.51 tff(f3396,plain,( 10.53/3.51 ~spl59_11 | spl59_7), 10.53/3.51 inference(avatar_split_clause,[],[f3333,f3317,f3393])). 10.53/3.51 tff(f3393,definition,( 10.53/3.51 spl59_11 <=> 'fun_app$b'('fun_app$c'('eq$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'false_ltln$')), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_11])],[avatar_definition])). 10.53/3.51 tff(f3333,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('eq$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'false_ltln$') | spl59_7), 10.53/3.51 inference(unit_resulting_resolution,[],[f2033,f3319,f1773])). 10.53/3.51 tff(f3391,plain,( 10.53/3.51 ~spl59_10 | spl59_7), 10.53/3.51 inference(avatar_split_clause,[],[f3337,f3317,f3388])). 10.53/3.51 tff(f3337,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('ltl_prop_equiv$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'false_ltln$') | spl59_7), 10.53/3.51 inference(unit_resulting_resolution,[],[f3319,f1939])). 10.53/3.51 tff(f1939,plain,( 10.53/3.51 ( ! [X0 : 'A_ltln$',X1 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'('ltl_lang_equiv$',X1),X0) | ~'fun_app$b'('fun_app$c'('ltl_prop_equiv$',X1),X0)) )), 10.53/3.51 inference(cnf_transformation,[],[f1224])). 10.53/3.51 tff(f1224,plain,( 10.53/3.51 ! [X0 : 'A_ltln$',X1 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'('ltl_lang_equiv$',X1),X0) | ~'fun_app$b'('fun_app$c'('ltl_prop_equiv$',X1),X0))), 10.53/3.51 inference(ennf_transformation,[],[f980])). 10.53/3.51 tff(f980,plain,( 10.53/3.51 ! [X1 : 'A_ltln$',X0 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'('ltl_prop_equiv$',X1),X0) => 'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X1),X0))), 10.53/3.51 inference(rectify,[],[f190])). 10.53/3.51 tff(f190,axiom,( 10.53/3.51 ! [X1 : 'A_ltln$',X0 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'('ltl_prop_equiv$',X0),X1) => 'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X0),X1))), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f3385,plain,( 10.53/3.51 ~spl59_9 | spl59_7), 10.53/3.51 inference(avatar_split_clause,[],[f3371,f3317,f3382])). 10.53/3.51 tff(f3371,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','false_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')) | spl59_7), 10.53/3.51 inference(resolution,[],[f3319,f1744])). 10.53/3.51 tff(f1744,plain,( 10.53/3.51 ( ! [X0 : 'A_ltln$',X1 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'('ltl_lang_equiv$',X0),X1) | ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X1),X0)) )), 10.53/3.51 inference(cnf_transformation,[],[f1132])). 10.53/3.51 tff(f1132,plain,( 10.53/3.51 ! [X0 : 'A_ltln$',X1 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'('ltl_lang_equiv$',X0),X1) | ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X1),X0))), 10.53/3.51 inference(ennf_transformation,[],[f859])). 10.53/3.51 tff(f859,plain,( 10.53/3.51 ! [X1 : 'A_ltln$',X0 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'('ltl_lang_equiv$',X1),X0) => 'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X0),X1))), 10.53/3.51 inference(rectify,[],[f518])). 10.53/3.51 tff(f518,axiom,( 10.53/3.51 ! [X1 : 'A_ltln$',X0 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'('ltl_lang_equiv$',X0),X1) => 'fun_app$b'('fun_app$c'('ltl_lang_equiv$',X1),X0))), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f3326,plain,( 10.53/3.51 ~spl59_8 | ~spl59_1 | ~spl59_4), 10.53/3.51 inference(avatar_split_clause,[],[f3241,f2181,f2171,f3323])). 10.53/3.51 tff(f3323,definition,( 10.53/3.51 spl59_8 <=> 'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),'phi$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$','nat$'(0)),sK15(sK10('phi$','w$'))))),'false_ltln$')), 10.53/3.51 introduced(definition,[new_symbols(naming,[spl59_8])],[avatar_definition])). 10.53/3.51 tff(f3241,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),'phi$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$','nat$'(0)),sK15(sK10('phi$','w$'))))),'false_ltln$') | (~spl59_1 | ~spl59_4)), 10.53/3.51 inference(unit_resulting_resolution,[],[f2182,f2172,f1647])). 10.53/3.51 tff(f1647,plain,( 10.53/3.51 ( ! [X2 : 'Nat$',X0 : 'A_ltln$',X1 : 'Nat_a_set_fun$',X5 : 'Nat$'] : (~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),X0),'fun_app$e'('release_ltln$'('false_ltln$'),X0)),'fun_app$f'('subsequence$'(X1,'nat$'(0)),X5))),'false_ltln$') | 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X0)),'fun_app$f'('subsequence$'(X1,X2),sK9(X0,X1,X2)))),'false_ltln$') | ~$less('fun_app$g'('of_nat$',sK10(X0,X1)),'fun_app$g'('of_nat$',X5))) )), 10.53/3.51 inference(cnf_transformation,[],[f1279])). 10.53/3.51 tff(f1279,plain,( 10.53/3.51 ! [X0 : 'A_ltln$',X1 : 'Nat_a_set_fun$'] : (! [X2 : 'Nat$'] : 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X0)),'fun_app$f'('subsequence$'(X1,X2),sK9(X0,X1,X2)))),'false_ltln$') | ! [X5 : 'Nat$'] : (~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),X0),'fun_app$e'('release_ltln$'('false_ltln$'),X0)),'fun_app$f'('subsequence$'(X1,'nat$'(0)),X5))),'false_ltln$') | ~$less('fun_app$g'('of_nat$',sK10(X0,X1)),'fun_app$g'('of_nat$',X5))))), 10.53/3.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f1276,f1278,f1277])). 10.53/3.51 tff(f1277,plain,( 10.53/3.51 ! [X0 : 'A_ltln$',X1 : 'Nat_a_set_fun$',X2 : 'Nat$'] : (? [X3 : 'Nat$'] : 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X0)),'fun_app$f'('subsequence$'(X1,X2),X3))),'false_ltln$') => 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X0)),'fun_app$f'('subsequence$'(X1,X2),sK9(X0,X1,X2)))),'false_ltln$'))), 10.53/3.51 introduced(definition,[],[choice_axiom])). 10.53/3.51 tff(f1278,plain,( 10.53/3.51 ! [X0 : 'A_ltln$',X1 : 'Nat_a_set_fun$'] : (? [X4 : 'Nat$'] : ! [X5 : 'Nat$'] : (~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),X0),'fun_app$e'('release_ltln$'('false_ltln$'),X0)),'fun_app$f'('subsequence$'(X1,'nat$'(0)),X5))),'false_ltln$') | ~$less('fun_app$g'('of_nat$',X4),'fun_app$g'('of_nat$',X5))) => ! [X5 : 'Nat$'] : (~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),X0),'fun_app$e'('release_ltln$'('false_ltln$'),X0)),'fun_app$f'('subsequence$'(X1,'nat$'(0)),X5))),'false_ltln$') | ~$less('fun_app$g'('of_nat$',sK10(X0,X1)),'fun_app$g'('of_nat$',X5))))), 10.53/3.51 introduced(definition,[],[choice_axiom])). 10.53/3.51 tff(f1276,plain,( 10.53/3.51 ! [X0 : 'A_ltln$',X1 : 'Nat_a_set_fun$'] : (! [X2 : 'Nat$'] : ? [X3 : 'Nat$'] : 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X0)),'fun_app$f'('subsequence$'(X1,X2),X3))),'false_ltln$') | ? [X4 : 'Nat$'] : ! [X5 : 'Nat$'] : (~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),X0),'fun_app$e'('release_ltln$'('false_ltln$'),X0)),'fun_app$f'('subsequence$'(X1,'nat$'(0)),X5))),'false_ltln$') | ~$less('fun_app$g'('of_nat$',X4),'fun_app$g'('of_nat$',X5))))), 10.53/3.51 inference(rectify,[],[f1135])). 10.53/3.51 tff(f1135,plain,( 10.53/3.51 ! [X1 : 'A_ltln$',X0 : 'Nat_a_set_fun$'] : (! [X2 : 'Nat$'] : ? [X3 : 'Nat$'] : 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,X2),X3))),'false_ltln$') | ? [X4 : 'Nat$'] : ! [X5 : 'Nat$'] : (~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),X1),'fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_ap% (10401)------------------------------ 10.53/3.51 % (10401)------------------------------ 10.53/3.51 p$f'('subsequence$'(X0,'nat$'(0)),X5))),'false_ltln$') | ~$less('fun_app$g'('of_nat$',X4),'fun_app$g'('of_nat$',X5))))), 10.53/3.51 inference(ennf_transformation,[],[f874])). 10.53/3.51 tff(f874,plain,( 10.53/3.51 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : (? [X2 : 'Nat$'] : ! [X3 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,X2),X3))),'false_ltln$') => ? [X4 : 'Nat$'] : ! [X5 : 'Nat$'] : ($less('fun_app$g'('of_nat$',X4),'fun_app$g'('of_nat$',X5)) => ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),X1),'fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,'nat$'(0)),X5))),'false_ltln$')))), 10.53/3.51 inference(rectify,[],[f271])). 10.53/3.51 tff(f271,axiom,( 10.53/3.51 ! [X1 : 'Nat_a_set_fun$',X0 : 'A_ltln$'] : (? [X2 : 'Nat$'] : ! [X3 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X0)),'fun_app$f'('subsequence$'(X1,X2),X3))),'false_ltln$') => ? [X2 : 'Nat$'] : ! [X3 : 'Nat$'] : ($less('fun_app$g'('of_nat$',X2),'fun_app$g'('of_nat$',X3)) => ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),X0),'fun_app$e'('release_ltln$'('false_ltln$'),X0)),'fun_app$f'('subsequence$'(X1,'nat$'(0)),X3))),'false_ltln$')))), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f3320,plain,( 10.53/3.51 ~spl59_7 | ~spl59_1), 10.53/3.51 inference(avatar_split_clause,[],[f3305,f2171,f3317])). 10.53/3.51 tff(f3305,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'false_ltln$') | ~spl59_1), 10.53/3.51 inference(forward_demodulation,[],[f3301,f1972])). 10.53/3.51 tff(f1972,plain,( 10.53/3.51 ( ! [X0 : 'A_ltln$',X1 : 'A_ltln_a_set_a_ltln_fun_fun$'] : ('fun_app$d'('foldl$'(X1,X0),'nil$') = X0) )), 10.53/3.51 inference(cnf_transformation,[],[f926])). 10.53/3.51 tff(f926,plain,( 10.53/3.51 ! [X0 : 'A_ltln$',X1 : 'A_ltln_a_set_a_ltln_fun_fun$'] : 'fun_app$d'('foldl$'(X1,X0),'nil$') = X0), 10.53/3.51 inference(rectify,[],[f470])). 10.53/3.51 tff(f470,axiom,( 10.53/3.51 ! [X1 : 'A_ltln$',X0 : 'A_ltln_a_set_a_ltln_fun_fun$'] : 'fun_app$d'('foldl$'(X0,X1),'nil$') = X1), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f3301,plain,( 10.53/3.51 ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'nil$')),'false_ltln$') | ~spl59_1), 10.53/3.51 inference(superposition,[],[f2172,f1844])). 10.53/3.51 tff(f1844,plain,( 10.53/3.51 ( ! [X0 : 'Nat$',X1 : 'Nat_a_set_fun$'] : ('nil$' = 'fun_app$f'('subsequence$'(X1,X0),'nat$'(0))) )), 10.53/3.51 inference(cnf_transformation,[],[f933])). 10.53/3.51 tff(f933,plain,( 10.53/3.51 ! [X0 : 'Nat$',X1 : 'Nat_a_set_fun$'] : 'nil$' = 'fun_app$f'('subsequence$'(X1,X0),'nat$'(0))), 10.53/3.51 inference(rectify,[],[f287])). 10.53/3.51 tff(f287,axiom,( 10.53/3.51 ! [X1 : 'Nat$',X0 : 'Nat_a_set_fun$'] : 'nil$' = 'fun_app$f'('subsequence$'(X0,X1),'nat$'(0))), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f3315,plain,( 10.53/3.51 ~spl59_1 | ~spl59_4 | ~spl59_5), 10.53/3.51 inference(avatar_contradiction_clause,[],[f3314])). 10.53/3.51 tff(f3314,plain,( 10.53/3.51 $false | (~spl59_1 | ~spl59_4 | ~spl59_5)), 10.53/3.51 inference(subsumption_resolution,[],[f3241,f2186])). 10.53/3.51 tff(f3310,plain,( 10.53/3.51 spl59_6 | ~spl59_1), 10.53/3.51 inference(avatar_split_clause,[],[f3242,f2171,f3307])). 10.53/3.51 tff(f3242,plain,( 10.53/3.51 'fun_app$b'('semantics_ltln$'('w$'),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$'))) | ~spl59_1), 10.53/3.51 inference(unit_resulting_resolution,[],[f1739,f2172,f1743])). 10.53/3.51 tff(f1743,plain,( 10.53/3.51 ( ! [X2 : 'Nat$',X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : ('fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),X1)),'fun_app$f'('subsequence$'(X0,X2),sK20(X0,X1,X2)))),'false_ltln$') | ~'member$'(X1,'nu_LTL$') | 'fun_app$b'('semantics_ltln$'(X0),'fun_app$e'('until_ltln$'('true_ltln$'),'fun_app$e'('release_ltln$'('false_ltln$'),X1)))) )), 10.53/3.51 inference(cnf_transformation,[],[f1355])). 10.53/3.51 tff(f2187,plain,( 10.53/3.51 spl59_3 | spl59_5), 10.53/3.51 inference(avatar_split_clause,[],[f1699,f2185,f2178])). 10.53/3.51 tff(f1699,plain,( 10.53/3.51 ( ! [X2 : 'Nat$',X0 : 'Nat$'] : ('fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',X0),sK14(X0)))),'false_ltln$') | 'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),'phi$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$','nat$'(0)),sK15(X2)))),'false_ltln$')) )), 10.53/3.51 inference(cnf_transformation,[],[f1323])). 10.53/3.51 tff(f1323,plain,( 10.53/3.51 (! [X0 : 'Nat$'] : 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',X0),sK14(X0)))),'false_ltln$') | ! [X2 : 'Nat$'] : ($less('fun_app$g'('of_nat$',X2),'fun_app$g'('of_nat$',sK15(X2))) & 'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),'phi$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$','nat$'(0)),sK15(X2)))),'false_ltln$'))) & (! [X5 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',sK16),X5))),'false_ltln$') | ! [X7 : 'Nat$'] : (~$less('fun_app$g'('of_nat$',sK17),'fun_app$g'('of_nat$',X7)) | ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),'phi$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$','nat$'(0)),X7))),'false_ltln$')))), 10.53/3.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17])],[f1318,f1322,f1321,f1320,f1319])). 10.53/3.51 tff(f1319,plain,( 10.53/3.51 ! [X0 : 'Nat$'] : (? [X1 : 'Nat$'] : 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',X0),X1))),'false_ltln$') => 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',X0),sK14(X0)))),'false_ltln$'))), 10.53/3.51 introduced(definition,[],[choice_axiom])). 10.53/3.51 tff(f1320,plain,( 10.53/3.51 ! [X2 : 'Nat$'] : (? [X3 : 'Nat$'] : ($less('fun_app$g'('of_nat$',X2),'fun_app$g'('of_nat$',X3)) & 'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),'phi$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$','nat$'(0)),X3))),'false_ltln$')) => ($less('fun_app$g'('of_nat$',X2),'fun_app$g'('of_nat$',sK15(X2))) & 'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),'phi$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$','nat$'(0)),sK15(X2)))),'false_ltln$')))), 10.53/3.51 introduced(definition,[],[choice_axiom])). 10.53/3.51 tff(f1321,plain,( 10.53/3.51 ? [X4 : 'Nat$'] : ! [X5 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',X4),X5))),'false_ltln$') => ! [X5 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',sK16),X5))),'false_ltln$')), 10.53/3.51 introduced(definition,[],[choice_axiom])). 10.53/3.51 tff(f1322,plain,( 10.53/3.51 ? [X6 : 'Nat$'] : ! [X7 : 'Nat$'] : (~$less('fun_app$g'('of_nat$',X6),'fun_app$g'('of_nat$',X7)) | ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),'phi$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$','nat$'(0)),X7))),'false_ltln$')) => ! [X7 : 'Nat$'] : (~$less('fun_app$g'('of_nat$',sK17),'fun_app$g'('of_nat$',X7)) | ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),'phi$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$','nat$'(0)),X7))),'false_ltln$'))), 10.53/3.51 introduced(definition,[],[choice_axiom])). 10.53/3.51 tff(f1318,plain,( 10.53/3.51 (! [X0 : 'Nat$'] : ? [X1 : 'Nat$'] : 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',X0),X1))),'false_ltln$') | ! [X2 : 'Nat$'] : ? [X3 : 'Nat$'] : ($less('fun_app$g'('of_nat$',X2),'fun_app$g'('of_nat$',X3)) & 'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),'phi$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$','nat$'(0)),X3))),'false_ltln$'))) & (? [X4 : 'Nat$'] : ! [X5 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',X4),X5))),'false_ltln$') | ? [X6 : 'Nat$'] : ! [X7 : 'Nat$'] : (~$less('fun_app$g'('of_nat$',X6),'fun_app$g'('of_nat$',X7)) | ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),'phi$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$','nat$'(0)),X7))),'false_ltln$')))), 10.53/3.51 inference(rectify,[],[f1317])). 10.53/3.51 tff(f1317,plain,( 10.53/3.51 (! [X2 : 'Nat$'] : ? [X3 : 'Nat$'] : 'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',X2),X3))),'false_ltln$') | ! [X0 : 'Nat$'] : ? [X1 : 'Nat$'] : ($less('fun_app$g'('of_nat$',X0),'fun_app$g'('of_nat$',X1)) & 'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),'phi$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$','nat$'(0)),X1))),'false_ltln$'))) & (? [X2 : 'Nat$'] : ! [X3 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',X2),X3))),'false_ltln$') | ? [X0 : 'Nat$'] : ! [X1 : 'Nat$'] : (~$less('fun_app$g'('of_nat$',X0),'fun_app$g'('of_nat$',X1)) | ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),'phi$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$','nat$'(0)),X1))),'false_ltln$')))), 10.53/3.51 inference(nnf_transformation,[],[f1147])). 10.53/3.51 tff(f1147,plain,( 10.53/3.51 ? [X0 : 'Nat$'] : ! [X1 : 'Nat$'] : (~$less('fun_app$g'('of_nat$',X0),'fun_app$g'('of_nat$',X1)) | ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),'phi$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$','nat$'(0)),X1))),'false_ltln$')) <~> ? [X2 : 'Nat$'] : ! [X3 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',X2),X3))),'false_ltln$')), 10.53/3.51 inference(ennf_transformation,[],[f772])). 10.53/3.51 tff(f772,plain,( 10.53/3.51 ~(? [X2 : 'Nat$'] : ! [X3 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',X2),X3))),'false_ltln$') <=> ? [X0 : 'Nat$'] : ! [X1 : 'Nat$'] : ($less('fun_app$g'('of_nat$',X0),'fun_app$g'('of_nat$',X1)) => ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),'phi$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$','nat$'(0)),X1))),'false_ltln$')))), 10.53/3.51 inference(rectify,[],[f315])). 10.53/3.51 tff(f315,negated_conjecture,( 10.53/3.51 ~(? [X0 : 'Nat$'] : ! [X1 : 'Nat$'] : ($less('fun_app$g'('of_nat$',X0),'fun_app$g'('of_nat$',X1)) => ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),'phi$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$','nat$'(0)),X1))),'false_ltln$')) <=> ? [X0 : 'Nat$'] : ! [X1 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',X0),X1))),'false_ltln$'))), 10.53/3.51 inference(negated_conjecture,[status(cth)],[f314])). 10.53/3.51 tff(f314,conjecture,( 10.53/3.51 ? [X0 : 'Nat$'] : ! [X1 : 'Nat$'] : ($less('fun_app$g'('of_nat$',X0),'fun_app$g'('of_nat$',X1)) => ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),'phi$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$','nat$'(0)),X1))),'false_ltln$')) <=> ? [X0 : 'Nat$'] : ! [X1 : 'Nat$'] : ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',X0),X1))),'false_ltln$')), 10.53/3.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 10.53/3.51 tff(f2183,plain,( 10.53/3.51 spl59_3 | spl59_4), 10.53/3.51 inference(avatar_split_clause,[],[f1700,f2181,f2178])). 10.53/3.51 tff(f1700,plain,( 10.53/3.51 ( ! [X2 : 'Nat$',X0 : 'Nat$'] : ('fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',X0),sK14(X0)))),'false_ltln$') | $less('fun_app$g'('of_nat$',X2),'fun_app$g'('of_nat$',sK15(X2)))) )), 10.53/3.51 inference(cnf_transformation,[],[f1323])). 10.53/3.51 tff(f2176,plain,( 10.53/3.51 spl59_1 | spl59_2), 10.53/3.51 inference(avatar_split_clause,[],[f1698,f2174,f2171])). 10.53/3.51 tff(f1698,plain,( 10.53/3.51 ( ! [X7 : 'Nat$',X5 : 'Nat$'] : (~$less('fun_app$g'('of_nat$',sK17),'fun_app$g'('of_nat$',X7)) | ~'fun_app$b'('fun_app$c'('ltl_lang_equiv$','fun_app$d'('foldl$'('af_letter$','fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$',sK16),X5))),'false_ltln$') | ~'fun_app$b'('fun_app$c'('eq$','fun_app$d'('foldl$'('fun_app$h'('af_letter_G$'('eq$'),'phi$'),'fun_app$e'('release_ltln$'('false_ltln$'),'phi$')),'fun_app$f'('subsequence$'('w$','nat$'(0)),X7))),'false_ltln$')) )), 10.53/3.51 inference(cnf_transformation,[],[f1323])). 10.53/3.51 % SZS output end Proof for theBenchmark 10.53/3.51 % (10400)------------------------------ 10.53/3.51 % (10400)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 10.53/3.51 % (10400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.53/3.51 % (10400)Termination reason: Refutation 10.53/3.51 10.53/3.51 % (10400)Time elapsed: 0.200 s 10.53/3.51 % (10400)Peak memory usage: 31 MB 10.53/3.51 % (10400)Instructions burned: 243 (million) 10.53/3.51 % (10400)------------------------------ 10.53/3.51 % (10400)------------------------------ 10.53/3.51 % (10282)Success in time 3.158 s 10.53/3.51 EOF