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 0.12/0.33 % Computer : n016.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Wed Jul 30 07:21:49 EDT 2025 0.12/0.33 % CPUTime : 0.12/0.36 This is a TFF_ problem 0.12/0.36 Running first-order theorem proving 0.12/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.22/0.48 % (3851)Running in auto input_syntax mode. Trying TPTP 0.22/0.48 % (3859)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=321319963:i=33:rtra=on_1199 on theBenchmark for (1199ds/33Mi) 0.22/0.49 % (3851)Running in auto input_syntax mode. Trying TPTP 0.22/0.49 % (3856)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2979251777:s2a=on:i=7:rtra=on:inst=on_1199 on theBenchmark for (1199ds/7Mi) 0.22/0.49 % (3851)Running in auto input_syntax mode. Trying TPTP 0.22/0.49 % (3857)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1229659870:i=4:rtra=on_1199 on theBenchmark for (1199ds/4Mi) 0.22/0.49 % (3851)Running in auto input_syntax mode. Trying TPTP 0.22/0.49 % (3854)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2573818095:i=307:kws=precedence:nm=0:rtra=on_1199 on theBenchmark for (1199ds/307Mi) 0.22/0.49 % (3851)Running in auto input_syntax mode. Trying TPTP 0.22/0.49 % (3855)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1403801753:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_1199 on theBenchmark for (1199ds/201Mi) 0.22/0.49 % (3851)Running in auto input_syntax mode. Trying TPTP 0.22/0.49 % (3858)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=46288907:i=46:rtra=on_1199 on theBenchmark for (1199ds/46Mi) 0.22/0.49 % (3851)Running in auto input_syntax mode. Trying TPTP 0.22/0.49 % (3853)dis+1002_16:1_to=lpo:sil=64000:norm_ineq=on:sas=z3:si=on:gve=force:uwa=one_side_constant:random_seed=2810229263:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_1199 on theBenchmark for (1199ds/12Mi) 0.22/0.49 % (3859)Instruction limit reached! 0.22/0.49 % (3859)------------------------------ 0.22/0.49 % (3859)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.49 % (3859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.49 % (3859)Termination reason: Instruction limit 0.22/0.49 % (3859)Termination phase: Preprocessing 1 0.22/0.49 0.22/0.49 % (3859)Time elapsed: 0.010 s 0.22/0.49 % (3859)Peak memory usage: 8 MB 0.22/0.49 % (3859)Instructions burned: 35 (million) 0.22/0.49 % (3857)Instruction limit reached! 0.22/0.49 % (3857)------------------------------ 0.22/0.49 % (3857)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.49 % (3857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.49 % (3857)Termination reason: Instruction limit 0.22/0.49 % (3857)Termination phase: Property scanning 0.22/0.49 0.22/0.49 % (3857)Time elapsed: 0.004 s 0.22/0.49 % (3857)Peak memory usage: 7 MB 0.22/0.49 % (3857)Instructions burned: 5 (million) 0.22/0.49 % (3856)Instruction limit reached! 0.22/0.49 % (3856)------------------------------ 0.22/0.49 % (3856)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.49 % (3856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.49 % (3856)Termination reason: Instruction limit 0.22/0.49 % (3856)Termination phase: Property scanning 0.22/0.49 0.22/0.49 % (3856)Time elapsed: 0.005 s 0.22/0.49 % (3856)Peak memory usage: 7 MB 0.22/0.49 % (3856)Instructions burned: 8 (million) 0.22/0.49 % (3853)Instruction limit reached! 0.22/0.49 % (3853)------------------------------ 0.22/0.49 % (3853)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.49 % (3853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.49 % (3853)Termination reason: Instruction limit 0.22/0.49 % (3853)Termination phase: shuffling 0.22/0.49 0.22/0.49 % (3853)Time elapsed: 0.006 s 0.22/0.49 % (3853)Peak memory usage: 7 MB 0.22/0.49 % (3853)Instructions burned: 14 (million) 0.22/0.52 % (3858)Instruction limit reached! 0.22/0.52 % (3858)------------------------------ 0.22/0.52 % (3858)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.52 % (3858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.52 % (3858)Termination reason: Instruction limit 0.22/0.52 % (3858)Termination phase: Preprocessing 3 0.22/0.52 0.22/0.52 % (3858)Time elapsed: 0.034 s 0.22/0.52 % (3858)Peak memory usage: 9 MB 0.22/0.52 % (3858)Instructions burned: 47 (million) 0.22/0.55 % (3851)Running in auto input_syntax mode. Trying TPTP 0.22/0.55 % (3868)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2002449010:st=5:i=14:sd=10:afp=4000:rtra=on:ss=axioms:rawr=on_1198 on theBenchmark for (1198ds/14Mi) 0.22/0.56 % (3851)Running in auto input_syntax mode. Trying TPTP 0.22/0.56 % (3869)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=1932625265:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_1198 on theBenchmark for (1198ds/29Mi) 0.22/0.56 % (3868)Instruction limit reached! 0.22/0.56 % (3868)------------------------------ 0.22/0.56 % (3868)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.56 % (3868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.56 % (3868)Termination reason: Instruction limit 0.22/0.56 % (3868)Termination phase: Property scanning 0.22/0.56 0.22/0.56 % (3868)Time elapsed: 0.005 s 0.22/0.56 % (3868)Peak memory usage: 8 MB 0.22/0.56 % (3868)Instructions burned: 16 (million) 0.22/0.56 % (3851)Running in auto input_syntax mode. Trying TPTP 0.22/0.56 % (3871)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1470856454:i=24:canc=force:rtra=on_1198 on theBenchmark for (1198ds/24Mi) 0.22/0.56 % (3851)Running in auto input_syntax mode. Trying TPTP 0.22/0.56 % (3870)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3553289171:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_1198 on theBenchmark for (1198ds/16Mi) 0.22/0.57 % (3869)Instruction limit reached! 0.22/0.57 % (3869)------------------------------ 0.22/0.57 % (3869)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.57 % (3869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.57 % (3869)Termination reason: Instruction limit 0.22/0.57 % (3869)Termination phase: Preprocessing 1 0.22/0.57 0.22/0.57 % (3869)Time elapsed: 0.008 s 0.22/0.57 % (3869)Peak memory usage: 8 MB 0.22/0.57 % (3869)Instructions burned: 31 (million) 0.22/0.57 % (3870)Instruction limit reached! 0.22/0.57 % (3870)------------------------------ 0.22/0.57 % (3870)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.57 % (3870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.57 % (3870)Termination reason: Instruction limit 0.22/0.57 % (3870)Termination phase: Preprocessing 1 0.22/0.57 0.22/0.57 % (3870)Time elapsed: 0.005 s 0.22/0.57 % (3870)Peak memory usage: 8 MB 0.22/0.57 % (3870)Instructions burned: 17 (million) 0.22/0.57 % (3871)Instruction limit reached! 0.22/0.57 % (3871)------------------------------ 0.22/0.57 % (3871)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.57 % (3871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.57 % (3871)Termination reason: Instruction limit 0.22/0.57 % (3871)Termination phase: Property scanning 0.22/0.57 0.22/0.57 % (3871)Time elapsed: 0.007 s 0.22/0.57 % (3871)Peak memory usage: 8 MB 0.22/0.57 % (3871)Instructions burned: 27 (million) 0.22/0.57 % (3851)Running in auto input_syntax mode. Trying TPTP 0.22/0.57 % (3872)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=3004131886:i=27:canc=cautious:fsr=off:rtra=on:uhcvi=off_1198 on theBenchmark for (1198ds/27Mi) 0.22/0.58 % (3872)Instruction limit reached! 0.22/0.58 % (3872)------------------------------ 0.22/0.58 % (3872)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.58 % (3872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.58 % (3872)Termination reason: Instruction limit 0.22/0.58 % (3872)Termination phase: Property scanning 0.22/0.58 0.22/0.58 % (3872)Time elapsed: 0.007 s 0.22/0.58 % (3872)Peak memory usage: 8 MB 0.22/0.58 % (3872)Instructions burned: 28 (million) 0.22/0.58 % (3855)Instruction limit reached! 0.22/0.58 % (3855)------------------------------ 0.22/0.58 % (3855)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.58 % (3855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.58 % (3855)Termination reason: Instruction limit 0.22/0.58 % (3855)Termination phase: Saturation 0.22/0.58 0.22/0.58 % (3855)Time elapsed: 0.096 s 0.22/0.58 % (3855)Peak memory usage: 32 MB 0.22/0.58 % (3855)Instructions burned: 201 (million) 1.47/0.60 % (3851)Running in auto input_syntax mode. Trying TPTP 1.47/0.60 % (3878)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=217707017:i=85:gtgl=4:rtra=on:gtg=exists_sym_1198 on theBenchmark for (1198ds/85Mi) 1.47/0.61 % (3851)Running in auto input_syntax mode. Trying TPTP 1.47/0.61 % (3879)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=3744451345:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_1197 on theBenchmark for (1197ds/2Mi) 1.47/0.61 % (3851)Running in auto input_syntax mode. Trying TPTP 1.47/0.61 % (3880)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3636913279:i=181:rtra=on:ss=axioms:ev=cautious_1197 on theBenchmark for (1197ds/181Mi) 1.60/0.61 % (3851)Running in auto input_syntax mode. Trying TPTP 1.60/0.61 % (3881)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=1685691423:i=4:ep=RST:ins=2:rtra=on_1197 on theBenchmark for (1197ds/4Mi) 1.60/0.61 % (3881)Instruction limit reached! 1.60/0.61 % (3881)------------------------------ 1.60/0.61 % (3881)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.60/0.61 % (3881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.60/0.61 % (3881)Termination reason: Instruction limit 1.60/0.61 % (3881)Termination phase: Property scanning 1.60/0.61 1.60/0.61 % (3881)Time elapsed: 0.002 s 1.60/0.61 % (3881)Peak memory usage: 8 MB 1.60/0.61 % (3881)Instructions burned: 5 (million) 1.60/0.61 % (3879)Instruction limit reached! 1.60/0.61 % (3879)------------------------------ 1.60/0.61 % (3879)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.60/0.61 % (3879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.60/0.61 % (3879)Termination reason: Instruction limit 1.60/0.61 % (3879)Termination phase: Property scanning 1.60/0.61 1.60/0.61 % (3879)Time elapsed: 0.004 s 1.60/0.61 % (3879)Peak memory usage: 7 MB 1.60/0.61 % (3879)Instructions burned: 16 (million) 1.60/0.62 % (3854)Instruction limit reached! 1.60/0.62 % (3854)------------------------------ 1.60/0.62 % (3854)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.60/0.62 % (3854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.60/0.62 % (3854)Termination reason: Instruction limit 1.60/0.62 % (3854)Termination phase: Saturation 1.60/0.62 1.60/0.62 % (3854)Time elapsed: 0.131 s 1.60/0.62 % (3854)Peak memory usage: 33 MB 1.60/0.62 % (3854)Instructions burned: 308 (million) 1.68/0.63 % (3851)Running in auto input_syntax mode. Trying TPTP 1.68/0.63 % (3884)lrs+10_1_thi=all:si=on:fd=off:random_seed=2170796143:i=53:rtra=on:gtg=all_1197 on theBenchmark for (1197ds/53Mi) 1.68/0.63 % (3878)Instruction limit reached! 1.68/0.63 % (3878)------------------------------ 1.68/0.63 % (3878)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.68/0.63 % (3878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.68/0.63 % (3878)Termination reason: Instruction limit 1.68/0.63 % (3878)Termination phase: Preprocessing 3 1.68/0.63 1.68/0.63 % (3878)Time elapsed: 0.024 s 1.68/0.63 % (3878)Peak memory usage: 9 MB 1.68/0.63 % (3878)Instructions burned: 85 (million) 1.68/0.64 % (3884)Instruction limit reached! 1.68/0.64 % (3884)------------------------------ 1.68/0.64 % (3884)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.68/0.64 % (3884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.68/0.64 % (3884)Termination reason: Instruction limit 1.68/0.64 % (3884)Termination phase: Property scanning 1.68/0.64 1.68/0.64 % (3884)Time elapsed: 0.013 s 1.68/0.64 % (3884)Peak memory usage: 8 MB 1.68/0.64 % (3884)Instructions burned: 55 (million) 1.68/0.66 % (3851)Running in auto input_syntax mode. Trying TPTP 1.68/0.66 % (3890)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=1203989594:st=3:i=2:rtra=on:ss=axioms_1197 on theBenchmark for (1197ds/2Mi) 1.68/0.66 % (3880)Instruction limit reached! 1.68/0.66 % (3880)------------------------------ 1.68/0.66 % (3880)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.68/0.66 % (3880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.68/0.66 % (3880)Termination reason: Instruction limit 1.68/0.66 % (3880)Termination phase: Saturation 1.68/0.66 1.68/0.66 % (3880)Time elapsed: 0.049 s 1.68/0.66 % (3880)Peak memory usage: 10 MB 1.68/0.66 % (3880)Instructions burned: 181 (million) 1.68/0.66 % (3890)Instruction limit reached! 1.68/0.66 % (3890)------------------------------ 1.68/0.66 % (3890)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.68/0.66 % (3890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.68/0.66 % (3890)Termination reason: Instruction limit 1.68/0.66 % (3890)Termination phase: shuffling 1.68/0.66 1.68/0.66 % (3890)Time elapsed: 0.001 s 1.68/0.66 % (3890)Peak memory usage: 7 MB 1.68/0.66 % (3890)Instructions burned: 2 (million) 1.68/0.66 % (3851)Running in auto input_syntax mode. Trying TPTP 1.68/0.66 % (3883)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=1460720185:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_1197 on theBenchmark for (1197ds/66Mi) 1.68/0.66 % (3851)Running in auto input_syntax mode. Trying TPTP 1.68/0.66 % (3891)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=3469491900:i=2:doe=on:canc=force:asg=cautious:rtra=on_1197 on theBenchmark for (1197ds/2Mi) 1.68/0.66 % (3851)Running in auto input_syntax mode. Trying TPTP 1.68/0.66 % (3889)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=3335425229:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_1197 on theBenchmark for (1197ds/8Mi) 1.68/0.66 % (3891)Instruction limit reached! 1.68/0.66 % (3891)------------------------------ 1.68/0.66 % (3891)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.68/0.66 % (3891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.68/0.66 % (3891)Termination reason: Instruction limit 1.68/0.66 % (3891)Termination phase: shuffling 1.68/0.66 1.68/0.66 % (3891)Time elapsed: 0.001 s 1.68/0.66 % (3891)Peak memory usage: 7 MB 1.68/0.66 % (3891)Instructions burned: 2 (million) 1.68/0.67 % (3889)Instruction limit reached! 1.68/0.67 % (3889)------------------------------ 1.68/0.67 % (3889)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.68/0.67 % (3889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.68/0.67 % (3889)Termination reason: Instruction limit 1.68/0.67 % (3889)Termination phase: Property scanning 1.68/0.67 1.68/0.67 % (3889)Time elapsed: 0.002 s 1.68/0.67 % (3889)Peak memory usage: 7 MB 1.68/0.67 % (3889)Instructions burned: 10 (million) 1.68/0.67 % (3851)Running in auto input_syntax mode. Trying TPTP 1.68/0.67 % (3893)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=904959231:i=127:doe=on:rtra=on_1197 on theBenchmark for (1197ds/127Mi) 1.68/0.68 % (3883)Instruction limit reached! 1.68/0.68 % (3883)------------------------------ 1.68/0.68 % (3883)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.68/0.68 % (3883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.68/0.68 % (3883)Termination reason: Instruction limit 1.68/0.68 % (3883)Termination phase: Clausification 1.68/0.68 1.68/0.68 % (3883)Time elapsed: 0.020 s 1.68/0.68 % (3883)Peak memory usage: 10 MB 1.68/0.68 % (3883)Instructions burned: 67 (million) 1.68/0.69 % (3851)Running in auto input_syntax mode. Trying TPTP 1.68/0.69 % (3894)dis+10_1_si=on:random_seed=3679591142:i=10:ep=R:rtra=on_1197 on theBenchmark for (1197ds/10Mi) 1.68/0.69 % (3894)Instruction limit reached! 1.68/0.69 % (3894)------------------------------ 1.68/0.69 % (3894)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.68/0.69 % (3894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.68/0.69 % (3894)Termination reason: Instruction limit 1.68/0.69 % (3894)Termination phase: Property scanning 1.68/0.69 1.68/0.69 % (3894)Time elapsed: 0.004 s 1.68/0.69 % (3894)Peak memory usage: 8 MB 1.68/0.69 % (3894)Instructions burned: 14 (million) 1.68/0.70 % (3851)Running in auto input_syntax mode. Trying TPTP 1.68/0.70 % (3896)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=1972625595:i=26:canc=cautious:av=off:rtra=on_1197 on theBenchmark for (1197ds/26Mi) 1.68/0.70 % (3851)Running in auto input_syntax mode. Trying TPTP 1.68/0.70 % (3897)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=3155322574:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:sgt=32:ev=off_1197 on theBenchmark for (1197ds/35Mi) 1.68/0.71 % (3851)Running in auto input_syntax mode. Trying TPTP 1.68/0.71 % (3901)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=484089824:i=2:fsr=off:rtra=on:inst=on_1197 on theBenchmark for (1197ds/2Mi) 2.04/0.71 % (3851)Running in auto input_syntax mode. Trying TPTP 2.04/0.71 % (3902)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:abs=on:uwa=off:s2agt=16:random_seed=2244927886:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_1196 on theBenchmark for (1196ds/8Mi) 2.04/0.71 % (3893)Instruction limit reached! 2.04/0.71 % (3893)------------------------------ 2.04/0.71 % (3893)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.04/0.71 % (3893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.04/0.71 % (3893)Termination reason: Instruction limit 2.04/0.71 % (3893)Termination phase: Saturation 2.04/0.71 2.04/0.71 % (3893)Time elapsed: 0.037 s 2.04/0.71 % (3893)Peak memory usage: 19 MB 2.04/0.71 % (3893)Instructions burned: 127 (million) 2.04/0.71 % (3901)Instruction limit reached! 2.04/0.71 % (3901)------------------------------ 2.04/0.71 % (3901)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.04/0.71 % (3901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.04/0.71 % (3901)Termination reason: Instruction limit 2.04/0.71 % (3901)Termination phase: Property scanning 2.04/0.71 2.04/0.71 % (3901)Time elapsed: 0.005 s 2.04/0.71 % (3901)Peak memory usage: 8 MB 2.04/0.71 % (3901)Instructions burned: 18 (million) 2.04/0.71 % (3896)Instruction limit reached! 2.04/0.71 % (3896)------------------------------ 2.04/0.71 % (3896)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.04/0.71 % (3896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.04/0.71 % (3896)Termination reason: Instruction limit 2.04/0.71 % (3896)Termination phase: Preprocessing 1 2.04/0.71 2.04/0.71 % (3896)Time elapsed: 0.009 s 2.04/0.71 % (3896)Peak memory usage: 8 MB 2.04/0.71 % (3896)Instructions burned: 33 (million) 2.04/0.71 % (3902)Instruction limit reached! 2.04/0.71 % (3902)------------------------------ 2.04/0.71 % (3902)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.04/0.71 % (3902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.04/0.71 % (3902)Termination reason: Instruction limit 2.04/0.71 % (3902)Termination phase: Property scanning 2.04/0.71 2.04/0.71 % (3902)Time elapsed: 0.003 s 2.04/0.71 % (3902)Peak memory usage: 8 MB 2.04/0.71 % (3902)Instructions burned: 9 (million) 2.04/0.71 % (3897)Instruction limit reached! 2.04/0.71 % (3897)------------------------------ 2.04/0.71 % (3897)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.04/0.71 % (3897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.04/0.71 % (3897)Termination reason: Instruction limit 2.04/0.71 % (3897)Termination phase: Preprocessing 1 2.04/0.71 2.04/0.71 % (3897)Time elapsed: 0.010 s 2.04/0.71 % (3897)Peak memory usage: 8 MB 2.04/0.71 % (3897)Instructions burned: 35 (million) 2.04/0.73 % (3851)Running in auto input_syntax mode. Trying TPTP 2.04/0.73 % (3904)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=477618092:i=370:ep=RS:fsr=off:rtra=on_1196 on theBenchmark for (1196ds/370Mi) 2.04/0.73 % (3851)Running in auto input_syntax mode. Trying TPTP 2.04/0.73 % (3906)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=1703609220:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_1196 on theBenchmark for (1196ds/13Mi) 2.04/0.74 % (3906)Instruction limit reached! 2.04/0.74 % (3906)------------------------------ 2.04/0.74 % (3906)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.04/0.74 % (3906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.04/0.74 % (3906)Termination reason: Instruction limit 2.04/0.74 % (3906)Termination phase: Property scanning 2.04/0.74 2.04/0.74 % (3906)Time elapsed: 0.004 s 2.04/0.74 % (3906)Peak memory usage: 7 MB 2.04/0.74 % (3906)Instructions burned: 17 (million) 2.04/0.75 % (3851)Running in auto input_syntax mode. Trying TPTP 2.04/0.75 % (3911)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=995697122:i=226:rtra=on:gtg=position:ss=axioms_1196 on theBenchmark for (1196ds/226Mi) 2.04/0.76 % (3851)Running in auto input_syntax mode. Trying TPTP 2.04/0.76 % (3912)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=2885617634:i=10:rtra=on_1196 on theBenchmark for (1196ds/10Mi) 2.04/0.76 % (3851)Running in auto input_syntax mode. Trying TPTP 2.04/0.76 % (3914)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=1347975719:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_1196 on theBenchmark for (1196ds/75Mi) 2.04/0.76 % (3851)Running in auto input_syntax mode. Trying TPTP 2.04/0.76 % (3915)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=3577076339:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_1196 on theBenchmark for (1196ds/294Mi) 2.04/0.76 % (3851)Running in auto input_syntax mode. Trying TPTP 2.04/0.76 % (3913)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=3080917425:i=71:rtra=on:gtg=exists_top_1196 on theBenchmark for (1196ds/71Mi) 2.04/0.78 % (3912)Instruction limit reached! 2.04/0.78 % (3912)------------------------------ 2.04/0.78 % (3912)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.04/0.78 % (3912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.04/0.78 % (3912)Termination reason: Instruction limit 2.04/0.78 % (3912)Termination phase: Property scanning 2.04/0.78 2.04/0.78 % (3912)Time elapsed: 0.020 s 2.04/0.78 % (3912)Peak memory usage: 10 MB 2.04/0.78 % (3912)Instructions burned: 65 (million) 2.04/0.78 % (3911)Refutation not found, incomplete strategy% (3911)------------------------------ 2.04/0.78 % (3911)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.04/0.78 % (3911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.04/0.78 % (3911)Termination reason: Refutation not found, incomplete strategy 2.04/0.78 2.04/0.78 % (3911)Time elapsed: 0.023 s 2.04/0.78 % (3911)Peak memory usage: 29 MB 2.04/0.78 % (3911)Instructions burned: 59 (million) 2.04/0.78 % (3911)------------------------------ 2.04/0.78 % (3911)------------------------------ 2.04/0.78 % (3913)Instruction limit reached! 2.04/0.78 % (3913)------------------------------ 2.04/0.78 % (3913)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.04/0.78 % (3913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.04/0.78 % (3913)Termination reason: Instruction limit 2.04/0.78 % (3913)Termination phase: Preprocessing 3 2.04/0.78 2.04/0.78 % (3913)Time elapsed: 0.022 s 2.04/0.78 % (3913)Peak memory usage: 9 MB 2.04/0.78 % (3913)Instructions burned: 74 (million) 2.04/0.78 % (3914)Instruction limit reached! 2.04/0.78 % (3914)------------------------------ 2.04/0.78 % (3914)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.04/0.78 % (3914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.04/0.78 % (3914)Termination reason: Instruction limit 2.04/0.78 % (3914)Termination phase: Property scanning 2.04/0.78 2.04/0.78 % (3914)Time elapsed: 0.023 s 2.04/0.78 % (3914)Peak memory usage: 10 MB 2.04/0.78 % (3914)Instructions burned: 75 (million) 2.64/0.79 % (3851)Running in auto input_syntax mode. Trying TPTP 2.64/0.79 % (3918)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=430932256:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_1196 on theBenchmark for (1196ds/130Mi) 2.64/0.82 % (3851)Running in auto input_syntax mode. Trying TPTP 2.64/0.82 % (3926)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=602607252:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_1195 on theBenchmark for (1195ds/40Mi) 2.64/0.82 % (3851)Running in auto input_syntax mode. Trying TPTP 2.64/0.82 % (3925)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=579314607:i=131:rtra=on_1195 on theBenchmark for (1195ds/131Mi) 2.64/0.82 % (3918)Instruction limit reached! 2.64/0.82 % (3918)------------------------------ 2.64/0.82 % (3918)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.64/0.82 % (3918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.64/0.82 % (3918)Termination reason: Instruction limit 2.64/0.82 % (3918)Termination phase: Property scanning 2.64/0.82 2.64/0.82 % (3918)Time elapsed: 0.035 s 2.64/0.82 % (3918)Peak memory usage: 10 MB 2.64/0.82 % (3918)Instructions burned: 131 (million) 2.64/0.82 % (3851)Running in auto input_syntax mode. Trying TPTP 2.64/0.82 % (3927)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=3171229252:i=307:rtra=on:gtg=exists_top_1195 on theBenchmark for (1195ds/307Mi) 2.64/0.82 % (3851)Running in auto input_syntax mode. Trying TPTP 2.64/0.82 % (3928)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=1958609590:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_1195 on theBenchmark for (1195ds/598Mi) 2.64/0.83 % (3926)Instruction limit reached! 2.64/0.83 % (3926)------------------------------ 2.64/0.83 % (3926)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.64/0.83 % (3926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.64/0.83 % (3926)Termination reason: Instruction limit 2.64/0.83 % (3926)Termination phase: Property scanning 2.64/0.83 2.64/0.83 % (3926)Time elapsed: 0.010 s 2.64/0.83 % (3926)Peak memory usage: 7 MB 2.64/0.83 % (3926)Instructions burned: 43 (million) 2.64/0.84 % (3904)Instruction limit reached! 2.64/0.84 % (3904)------------------------------ 2.64/0.84 % (3904)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.64/0.84 % (3904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.64/0.84 % (3904)Termination reason: Instruction limit 2.64/0.84 % (3904)Termination phase: Saturation 2.64/0.84 2.64/0.84 % (3904)Time elapsed: 0.116 s 2.64/0.84 % (3904)Peak memory usage: 15 MB 2.64/0.84 % (3904)Instructions burned: 370 (million) 2.64/0.85 % (3915)Instruction limit reached! 2.64/0.85 % (3915)------------------------------ 2.64/0.85 % (3915)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.64/0.85 % (3915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.64/0.85 % (3915)Termination reason: Instruction limit 2.64/0.85 % (3915)Termination phase: Saturation 2.64/0.85 2.64/0.85 % (3915)Time elapsed: 0.096 s 2.64/0.85 % (3915)Peak memory usage: 13 MB 2.64/0.85 % (3915)Instructions burned: 295 (million) 2.64/0.87 % (3851)Running in auto input_syntax mode. Trying TPTP 2.64/0.87 % (3933)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=3889529063:i=131:canc=cautious:fsr=off:rtra=on_1195 on theBenchmark for (1195ds/131Mi) 3.07/0.87 % (3925)Instruction limit reached! 3.07/0.87 % (3925)------------------------------ 3.07/0.87 % (3925)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.07/0.87 % (3925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.07/0.87 % (3925)Termination reason: Instruction limit 3.07/0.87 % (3925)Termination phase: Saturation 3.07/0.87 3.07/0.87 % (3925)Time elapsed: 0.050 s 3.07/0.87 % (3925)Peak memory usage: 46 MB 3.07/0.87 % (3925)Instructions burned: 133 (million) 3.07/0.87 % (3851)Running in auto input_syntax mode. Trying TPTP 3.07/0.87 % (3935)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=2640440262:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_1195 on theBenchmark for (1195ds/259Mi) 3.16/0.89 % (3851)Running in auto input_syntax mode. Trying TPTP 3.16/0.89 % (3936)dis+10_1_si=on:random_seed=2882299095:s2a=on:i=1000:rtra=on:gtg=exists_all_1195 on theBenchmark for (1195ds/1000Mi) 3.16/0.90 % (3851)Running in auto input_syntax mode. Trying TPTP 3.16/0.90 % (3937)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=3523739623:i=383:fsr=off:rtra=on:ev=force_1195 on theBenchmark for (1195ds/383Mi) 3.16/0.91 % (3933)Instruction limit reached! 3.16/0.91 % (3933)------------------------------ 3.16/0.91 % (3933)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.16/0.91 % (3933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.16/0.91 % (3933)Termination reason: Instruction limit 3.16/0.91 % (3933)Termination phase: Saturation 3.16/0.91 3.16/0.91 % (3933)Time elapsed: 0.042 s 3.16/0.91 % (3933)Peak memory usage: 29 MB 3.16/0.91 % (3933)Instructions burned: 131 (million) 3.16/0.92 % (3851)Running in auto input_syntax mode. Trying TPTP 3.16/0.92 % (3940)lrs+10_1_to=kbo:sil=64000:norm_ineq=on:si=on:sp=unary_frequency:random_seed=1617074736:i=141:doe=on:rtra=on_1194 on theBenchmark for (1194ds/141Mi) 3.16/0.92 % (3927)Instruction limit reached! 3.16/0.92 % (3927)------------------------------ 3.16/0.92 % (3927)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.16/0.92 % (3927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.16/0.92 % (3927)Termination reason: Instruction limit 3.16/0.92 % (3927)Termination phase: Saturation 3.16/0.92 3.16/0.92 % (3927)Time elapsed: 0.099 s 3.16/0.92 % (3927)Peak memory usage: 14 MB 3.16/0.92 % (3927)Instructions burned: 308 (million) 3.27/0.95 % (3851)Running in auto input_syntax mode. Trying TPTP 3.27/0.95 % (3943)lrs+10_1024_to=kbo:sil=128000:norm_ineq=on:fde=unused:sas=z3:si=on:sos=on:tha=off:random_seed=291140371:i=65:nm=16:rtra=on_1194 on theBenchmark for (1194ds/65Mi) 3.27/0.95 % (3940)Instruction limit reached! 3.27/0.95 % (3940)------------------------------ 3.27/0.95 % (3940)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.27/0.95 % (3940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.27/0.95 % (3940)Termination reason: Instruction limit 3.27/0.95 % (3940)Termination phase: Saturation 3.27/0.95 3.27/0.95 % (3940)Time elapsed: 0.036 s 3.27/0.95 % (3940)Peak memory usage: 11 MB 3.27/0.95 % (3940)Instructions burned: 142 (million) 3.27/0.95 % (3935)Instruction limit reached! 3.27/0.95 % (3935)------------------------------ 3.27/0.95 % (3935)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.27/0.95 % (3935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.27/0.95 % (3935)Termination reason: Instruction limit 3.27/0.95 % (3935)Termination phase: Saturation 3.27/0.95 3.27/0.95 % (3935)Time elapsed: 0.084 s 3.27/0.95 % (3935)Peak memory usage: 31 MB 3.27/0.95 % (3935)Instructions burned: 261 (million) 3.27/0.96 % (3851)Running in auto input_syntax mode. Trying TPTP 3.27/0.96 % (3945)dis+10_1_to=kbo:sil=128000:tgt=ground:fde=unused:si=on:tha=some:sac=on:random_seed=999407241:i=121:nm=16:rtra=on_1194 on theBenchmark for (1194ds/121Mi) 3.27/0.97 % (3943)Instruction limit reached! 3.27/0.97 % (3943)------------------------------ 3.27/0.97 % (3943)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.27/0.97 % (3943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.27/0.97 % (3943)Termination reason: Instruction limit 3.27/0.97 % (3943)Termination phase: Property scanning 3.27/0.97 3.27/0.97 % (3943)Time elapsed: 0.018 s 3.27/0.97 % (3943)Peak memory usage: 10 MB 3.27/0.97 % (3943)Instructions burned: 67 (million) 3.27/0.99 % (3945)Instruction limit reached! 3.27/0.99 % (3945)------------------------------ 3.27/0.99 % (3945)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.27/0.99 % (3945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.27/0.99 % (3945)Termination reason: Instruction limit 3.27/0.99 % (3945)Termination phase: Saturation 3.27/0.99 3.27/0.99 % (3945)Time elapsed: 0.030 s 3.27/0.99 % (3945)Peak memory usage: 10 MB 3.27/0.99 % (3945)Instructions burned: 124 (million) 3.27/0.99 % (3851)Running in auto input_syntax mode. Trying TPTP 3.27/0.99 % (3947)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=2447253553:s2a=on:i=128:s2at=5:ins=3:rtra=on_1194 on theBenchmark for (1194ds/128Mi) 3.27/1.00 % (3851)Running in auto input_syntax mode. Trying TPTP 3.27/1.00 % (3948)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=2521878982:i=39:ins=3:rtra=on_1194 on theBenchmark for (1194ds/39Mi) 3.27/1.01 % (3948)Instruction limit reached! 3.27/1.01 % (3948)------------------------------ 3.27/1.01 % (3948)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.27/1.01 % (3948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.27/1.01 % (3948)Termination reason: Instruction limit 3.27/1.01 % (3948)Termination phase: shuffling 3.27/1.01 3.27/1.01 % (3948)Time elapsed: 0.010 s 3.27/1.01 % (3948)Peak memory usage: 8 MB 3.27/1.01 % (3948)Instructions burned: 39 (million) 3.80/1.01 % (3851)Running in auto input_syntax mode. Trying TPTP 3.80/1.01 % (3950)dis+1010_1_to=kbo:si=on:random_seed=3060823679:i=175:doe=on:nm=0:rtra=on:gtg=exists_sym:ss=axioms:ev=cautious_1193 on theBenchmark for (1193ds/175Mi) 3.80/1.02 % (3937)Instruction limit reached! 3.80/1.02 % (3937)------------------------------ 3.80/1.02 % (3937)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.80/1.02 % (3937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.80/1.02 % (3937)Termination reason: Instruction limit 3.80/1.02 % (3937)Termination phase: Saturation 3.80/1.02 3.80/1.02 % (3937)Time elapsed: 0.122 s 3.80/1.02 % (3937)Peak memory usage: 17 MB 3.80/1.02 % (3937)Instructions burned: 385 (million) 3.80/1.03 % (3947)Instruction limit reached! 3.80/1.03 % (3947)------------------------------ 3.80/1.03 % (3947)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.80/1.03 % (3947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.80/1.03 % (3947)Termination reason: Instruction limit 3.80/1.03 % (3947)Termination phase: Saturation 3.80/1.03 3.80/1.03 % (3947)Time elapsed: 0.033 s 3.80/1.03 % (3947)Peak memory usage: 11 MB 3.80/1.03 % (3947)Instructions burned: 133 (million) 3.80/1.03 % (3928)Instruction limit reached! 3.80/1.03 % (3928)------------------------------ 3.80/1.03 % (3928)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.80/1.03 % (3928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.80/1.03 % (3928)Termination reason: Instruction limit 3.80/1.03 % (3928)Termination phase: Saturation 3.80/1.03 3.80/1.03 % (3928)Time elapsed: 0.211 s 3.80/1.03 % (3928)Peak memory usage: 53 MB 3.80/1.03 % (3928)Instructions burned: 601 (million) 3.80/1.03 % (3851)Running in auto input_syntax mode. Trying TPTP 3.80/1.03 % (3951)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3045746070:i=329:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_1193 on theBenchmark for (1193ds/329Mi) 3.80/1.05 % (3851)Running in auto input_syntax mode. Trying TPTP 3.80/1.05 % (3954)lrs+1002_8_to=kbo:sil=128000:thi=all:drc=ordering:sas=z3:si=on:tha=off:rp=on:random_seed=2200391550:s2a=on:i=483:doe=on:nm=32:rtra=on_1193 on theBenchmark for (1193ds/483Mi) 3.80/1.06 % (3950)Instruction limit reached! 3.80/1.06 % (3950)------------------------------ 3.80/1.06 % (3950)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.80/1.06 % (3950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.80/1.06 % (3950)Termination reason: Instruction limit 3.80/1.06 % (3950)Termination phase: Saturation 3.80/1.06 3.80/1.06 % (3950)Time elapsed: 0.046 s 3.80/1.06 % (3950)Peak memory usage: 11 MB 3.80/1.06 % (3950)Instructions burned: 178 (million) 3.80/1.06 % (3851)Running in auto input_syntax mode. Trying TPTP 3.80/1.06 % (3956)lrs+10_40_anc=all:to=kbo:tgt=ground:thi=overlap:sas=z3:si=on:thigen=on:random_seed=2488204631:thitd=on:i=215:nm=0:rtra=on:ev=force_1193 on theBenchmark for (1193ds/215Mi) 3.80/1.07 % (3851)Running in auto input_syntax mode. Trying TPTP 3.80/1.07 % (3957)lrs+1011_1_to=kbo:sil=128000:norm_ineq=on:sas=z3:si=on:sp=unary_frequency:tha=off:random_seed=323463089:i=349:rtra=on_1193 on theBenchmark for (1193ds/349Mi) 3.80/1.08 % (3851)Running in auto input_syntax mode. Trying TPTP 3.80/1.08 % (3959)dis+1011_1_to=kbo:sil=128000:drc=off:si=on:br=off:random_seed=2067336197:st=2:i=295:rtra=on:ss=axioms_1193 on theBenchmark for (1193ds/295Mi) 4.39/1.10 % (3851)Running in auto input_syntax mode. Trying TPTP 4.39/1.10 % (3962)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=1303965519:i=328:kws=inv_frequency:nm=20:rtra=on_1193 on theBenchmark for (1193ds/328Mi) 4.39/1.13 % (3956)Instruction limit reached! 4.39/1.13 % (3956)------------------------------ 4.39/1.13 % (3956)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 4.39/1.13 % (3956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.39/1.13 % (3956)Termination reason: Instruction limit 4.39/1.13 % (3956)Termination phase: Saturation 4.39/1.13 4.39/1.13 % (3956)Time elapsed: 0.067 s 4.39/1.13 % (3956)Peak memory usage: 49 MB 4.39/1.13 % (3956)Instructions burned: 218 (million) 4.39/1.14 % (3951)Instruction limit reached! 4.39/1.14 % (3951)------------------------------ 4.39/1.14 % (3951)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 4.39/1.14 % (3951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.39/1.14 % (3951)Termination reason: Instruction limit 4.39/1.14 % (3951)Termination phase: Saturation 4.39/1.14 4.39/1.14 % (3951)Time elapsed: 0.102 s 4.39/1.14 % (3951)Peak memory usage: 33 MB 4.39/1.14 % (3951)Instructions burned: 331 (million) 4.39/1.16 % (3959)Instruction limit reached! 4.39/1.16 % (3959)------------------------------ 4.39/1.16 % (3959)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 4.39/1.16 % (3959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.39/1.16 % (3959)Termination reason: Instruction limit 4.39/1.16 % (3959)Termination phase: Saturation 4.39/1.16 4.39/1.16 % (3959)Time elapsed: 0.082 s 4.39/1.16 % (3959)Peak memory usage: 11 MB 4.39/1.16 % (3959)Instructions burned: 296 (million) 4.39/1.17 % (3851)Running in auto input_syntax mode. Trying TPTP 4.39/1.17 % (3967)dis+1010_1_to=lpo:sil=128000:sas=z3:si=on:nwc=5:random_seed=1613850442:i=281:gtgl=2:rtra=on:gtg=all_1192 on theBenchmark for (1192ds/281Mi) 4.39/1.18 % (3936)Instruction limit reached! 4.39/1.18 % (3936)------------------------------ 4.39/1.18 % (3936)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 4.39/1.18 % (3936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.39/1.18 % (3936)Termination reason: Instruction limit 4.39/1.18 % (3936)Termination phase: Saturation 4.39/1.18 4.39/1.18 % (3936)Time elapsed: 0.288 s 4.39/1.18 % (3936)Peak memory usage: 17 MB 4.39/1.18 % (3936)Instructions burned: 1000 (million) 4.39/1.18 % (3851)Running in auto input_syntax mode. Trying TPTP 4.39/1.18 % (3968)lrs+1010_1_to=kbo:sil=128000:si=on:sos=on:urr=on:uwa=alasca_main:random_seed=3456997220:i=484:doe=on:nm=0:av=off:rtra=on:ss=axioms_1192 on theBenchmark for (1192ds/484Mi) 5.60/1.19 % (3957)Instruction limit reached! 5.60/1.19 % (3957)------------------------------ 5.60/1.19 % (3957)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 5.60/1.19 % (3957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.60/1.19 % (3957)Termination reason: Instruction limit 5.60/1.19 % (3957)Termination phase: Saturation 5.60/1.19 5.60/1.19 % (3957)Time elapsed: 0.121 s 5.60/1.19 % (3957)Peak memory usage: 34 MB 5.60/1.19 % (3957)Instructions burned: 351 (million) 5.60/1.19 % (3968)Refutation not found, incomplete strategy% (3968)------------------------------ 5.60/1.19 % (3968)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 5.60/1.19 % (3968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.60/1.19 % (3968)Termination reason: Refutation not found, incomplete strategy 5.60/1.19 5.60/1.19 % (3968)Time elapsed: 0.012 s 5.60/1.19 % (3968)Peak memory usage: 9 MB 5.60/1.19 % (3968)Instructions burned: 52 (million) 5.60/1.19 % (3968)------------------------------ 5.60/1.19 % (3968)------------------------------ 5.72/1.20 % (3851)Running in auto input_syntax mode. Trying TPTP 5.72/1.20 % (3969)lrs+21_1_to=kbo:sil=128000:thi=neg_eq:si=on:random_seed=3269344767:i=321:canc=force:rtra=on:tac=axiom:ss=axioms:ev=force_1192 on theBenchmark for (1192ds/321Mi) 5.72/1.21 % (3962)Instruction limit reached! 5.72/1.21 % (3962)------------------------------ 5.72/1.21 % (3962)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 5.72/1.21 % (3962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.72/1.21 % (3962)Termination reason: Instruction limit 5.72/1.21 % (3962)Termination phase: Saturation 5.72/1.21 5.72/1.21 % (3962)Time elapsed: 0.104 s 5.72/1.21 % (3962)Peak memory usage: 33 MB 5.72/1.21 % (3962)Instructions burned: 329 (million) 5.72/1.21 % (3954)Instruction limit reached! 5.72/1.21 % (3954)------------------------------ 5.72/1.21 % (3954)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 5.72/1.21 % (3954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.72/1.21 % (3954)Termination reason: Instruction limit 5.72/1.21 % (3954)Termination phase: Saturation 5.72/1.21 5.72/1.21 % (3954)Time elapsed: 0.165 s 5.72/1.21 % (3954)Peak memory usage: 52 MB 5.72/1.21 % (3954)Instructions burned: 484 (million) 5.72/1.22 % (3851)Running in auto input_syntax mode. Trying TPTP 5.72/1.22 % (3971)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=1215724342:i=416:rtra=on:gtg=position:ss=axioms_1191 on theBenchmark for (1191ds/416Mi) 5.82/1.23 % (3851)Running in auto input_syntax mode. Trying TPTP 5.82/1.23 % (3973)lrs+1010_1_to=kbo:tgt=ground:fde=unused:sas=z3:si=on:sp=unary_frequency:gve=force:spb=goal:tha=off:random_seed=3740492212:i=471:thf=on:kws=precedence:rtra=on_1191 on theBenchmark for (1191ds/471Mi) 5.82/1.24 % (3971)Refutation not found, incomplete strategy% (3971)------------------------------ 5.82/1.24 % (3971)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 5.82/1.24 % (3971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.82/1.24 % (3971)Termination reason: Refutation not found, incomplete strategy 5.82/1.24 5.82/1.24 % (3971)Time elapsed: 0.023 s 5.82/1.24 % (3971)Peak memory usage: 29 MB 5.82/1.24 % (3971)Instructions burned: 59 (million) 5.82/1.24 % (3971)------------------------------ 5.82/1.24 % (3971)------------------------------ 5.82/1.25 % (3851)Running in auto input_syntax mode. Trying TPTP 5.82/1.25 % (3976)lrs+1010_2_to=kbo:sil=128000:tgt=ground:fde=unused:sas=z3:si=on:uwa=off:tha=off:nwc=1:random_seed=3063233001:i=375:kws=inv_arity_squared:rtra=on_1191 on theBenchmark for (1191ds/375Mi) 5.82/1.26 % (3851)Running in auto input_syntax mode. Trying TPTP 5.82/1.26 % (3977)lrs+10_1_to=kbo:sil=128000:tgt=full:sas=z3:si=on:uwa=func_ext:slsqc=1:flr=on:slsq=on:random_seed=658093195:i=387:bd=preordered:rtra=on:ss=axioms:sgt=8_1191 on theBenchmark for (1191ds/387Mi) 5.82/1.26 % (3967)Instruction limit reached! 5.82/1.26 % (3967)------------------------------ 5.82/1.26 % (3967)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 5.82/1.26 % (3967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.82/1.26 % (3967)Termination reason: Instruction limit 5.82/1.26 % (3967)Termination phase: Saturation 5.82/1.26 5.82/1.26 % (3967)Time elapsed: 0.089 s 5.82/1.26 % (3967)Peak memory usage: 33 MB 5.82/1.26 % (3967)Instructions burned: 282 (million) 5.82/1.27 % (3851)Running in auto input_syntax mode. Trying TPTP 5.82/1.27 % (3974)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=1354320903:avsq=on:i=276:avsqr=1,2:rtra=on_1191 on theBenchmark for (1191ds/276Mi) 5.82/1.29 % (3851)Running in auto input_syntax mode. Trying TPTP 5.82/1.29 % (3980)lrs+10_1_to=kbo:sil=128000:norm_ineq=on:fde=none:si=on:urr=on:nwc=0.5:random_seed=1826067102:i=513:kws=frequency:bd=all:rtra=on:gtg=exists_all:ss=axioms:sgt=4_1191 on theBenchmark for (1191ds/513Mi) 5.82/1.30 % (3969)Instruction limit reached! 5.82/1.30 % (3969)------------------------------ 5.82/1.30 % (3969)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 5.82/1.30 % (3969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.82/1.30 % (3969)Termination reason: Instruction limit 5.82/1.30 % (3969)Termination phase: Saturation 5.82/1.30 5.82/1.30 % (3969)Time elapsed: 0.098 s 5.82/1.30 % (3969)Peak memory usage: 30 MB 5.82/1.30 % (3969)Instructions burned: 324 (million) 5.82/1.31 % (3851)Running in auto input_syntax mode. Trying TPTP 5.82/1.31 % (3984)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=3080666074:i=334:rtra=on_1190 on theBenchmark for (1190ds/334Mi) 6.01/1.34 % (3851)Running in auto input_syntax mode. Trying TPTP 6.01/1.34 % (3986)lrs+1010_1_to=kbo:sil=64000:sas=cadical:si=on:sos=on:bce=on:random_seed=609985149:i=359:rtra=on:gtg=exists_top:ss=axioms_1190 on theBenchmark for (1190ds/359Mi) 6.01/1.36 % (3986)Refutation not found, incomplete strategy% (3986)------------------------------ 6.01/1.36 % (3986)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.01/1.36 % (3986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.01/1.36 % (3986)Termination reason: Refutation not found, incomplete strategy 6.01/1.36 6.01/1.36 % (3986)Time elapsed: 0.019 s 6.01/1.36 % (3986)Peak memory usage: 9 MB 6.01/1.36 % (3986)Instructions burned: 81 (million) 6.01/1.36 % (3986)------------------------------ 6.01/1.36 % (3986)------------------------------ 6.01/1.36 % (3974)Instruction limit reached! 6.01/1.36 % (3974)------------------------------ 6.01/1.36 % (3974)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.01/1.36 % (3974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.01/1.36 % (3974)Termination reason: Instruction limit 6.01/1.36 % (3974)Termination phase: Saturation 6.01/1.36 6.01/1.36 % (3974)Time elapsed: 0.098 s 6.01/1.36 % (3974)Peak memory usage: 50 MB 6.01/1.36 % (3974)Instructions burned: 277 (million) 6.01/1.38 % (3976)Instruction limit reached! 6.01/1.38 % (3976)------------------------------ 6.01/1.38 % (3976)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.01/1.38 % (3976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.01/1.38 % (3976)Termination reason: Instruction limit 6.01/1.38 % (3976)Termination phase: Saturation 6.01/1.38 6.01/1.38 % (3976)Time elapsed: 0.126 s 6.01/1.38 % (3976)Peak memory usage: 35 MB 6.01/1.38 % (3976)Instructions burned: 375 (million) 6.01/1.39 % (3977)Instruction limit reached! 6.01/1.39 % (3977)------------------------------ 6.01/1.39 % (3977)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.01/1.39 % (3977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.01/1.39 % (3977)Termination reason: Instruction limit 6.01/1.39 % (3977)Termination phase: Saturation 6.01/1.39 6.01/1.39 % (3977)Time elapsed: 0.129 s 6.01/1.39 % (3977)Peak memory usage: 31 MB 6.01/1.39 % (3977)Instructions burned: 388 (million) 6.01/1.39 % (3980)First to succeed. 6.60/1.39 % (3980)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3851" 6.60/1.40 % (3851)Running in auto input_syntax mode. Trying TPTP 6.60/1.40 % (3980)Refutation found. Thanks to Tanya! 6.60/1.40 % SZS status Theorem for theBenchmark 6.60/1.40 % SZS output start Proof for theBenchmark 6.60/1.40 tff(type_def_5, type, 'Nat_set_set$': $tType). 6.60/1.40 tff(type_def_6, type, 'N_n_fun_n_vec$': $tType). 6.60/1.40 tff(type_def_7, type, 'A_n_n_fun_vec$': $tType). 6.60/1.40 tff(type_def_8, type, 'Nat_n_prod_set$': $tType). 6.60/1.40 tff(type_def_9, type, 'N_n_a_n_vec_fun_fun$': $tType). 6.60/1.40 tff(type_def_10, type, 'Int_bool_fun$': $tType). 6.60/1.40 tff(type_def_11, type, 'Nat_n_n_fun_a_fun_fun$': $tType). 6.60/1.40 tff(type_def_12, type, 'N_option_set$': $tType). 6.60/1.40 tff(type_def_13, type, 'N_a_n_vec_fun_bool_fun$': $tType). 6.60/1.40 tff(type_def_14, type, 'N_n_a_fun_fun$': $tType). 6.60/1.40 tff(type_def_15, type, 'Nat_nat_bool_fun_fun$': $tType). 6.60/1.40 tff(type_def_16, type, 'N_nat_prod_set$': $tType). 6.60/1.40 tff(type_def_17, type, 'N_a_n_vec_a_n_vec_fun_fun$': $tType). 6.60/1.40 tff(type_def_18, type, 'A_n_n_fun_vec_n_vec$': $tType). 6.60/1.40 tff(type_def_19, type, 'N_nat_a_n_vec_fun_fun$': $tType). 6.60/1.40 tff(type_def_20, type, 'A_nat_fun$': $tType). 6.60/1.40 tff(type_def_21, type, 'Nat_a_fun$': $tType). 6.60/1.40 tff(type_def_22, type, 'A_set_set$': $tType). 6.60/1.40 tff(type_def_23, type, 'Nat_nat_fun_set$': $tType). 6.60/1.40 tff(type_def_24, type, 'A_n_fun$': $tType). 6.60/1.40 tff(type_def_25, type, 'A_a_n_vec_fun$': $tType). 6.60/1.40 tff(type_def_26, type, 'A_n_vec_n_n_fun_vec$': $tType). 6.60/1.40 tff(type_def_27, type, 'A_n_vec_set$': $tType). 6.60/1.40 tff(type_def_28, type, 'Nat_nat_nat_fun_fun$': $tType). 6.60/1.40 tff(type_def_29, type, 'N_a_fun_set$': $tType). 6.60/1.40 tff(type_def_30, type, 'A_n_vec_a_fun$': $tType). 6.60/1.40 tff(type_def_31, type, 'A_n_vec_n_vec_bool_fun$': $tType). 6.60/1.40 tff(type_def_32, type, 'Nat_n_sum_set$': $tType). 6.60/1.40 tff(type_def_33, type, 'N_a_n_vec_fun$': $tType). 6.60/1.40 tff(type_def_34, type, 'Int_set$': $tType). 6.60/1.40 tff(type_def_35, type, 'Int_int_fun$': $tType). 6.60/1.40 tff(type_def_36, type, 'N_n_vec$': $tType). 6.60/1.40 tff(type_def_37, type, 'N_n_sum_set$': $tType). 6.60/1.40 tff(type_def_38, type, 'A_n_vec_n_vec_a_fun$': $tType). 6.60/1.40 tff(type_def_39, type, 'N_nat_fun$': $tType). 6.60/1.40 tff(type_def_40, type, 'N_set$': $tType). 6.60/1.40 tff(type_def_41, type, 'Nat_nat_prod_set$': $tType). 6.60/1.40 tff(type_def_42, type, 'A_n_vec_n_vec$': $tType). 6.60/1.40 tff(type_def_43, type, 'N_a_n_vec_bool_fun_fun$': $tType). 6.60/1.40 tff(type_def_44, type, 'Nat_n_fun$': $tType). 6.60/1.40 tff(type_def_45, type, 'N_nat_sum_set$': $tType). 6.60/1.40 tff(type_def_46, type, 'A_n_vec_nat_fun$': $tType). 6.60/1.40 tff(type_def_47, type, 'N_a_n_vec_n_vec_bool_fun_fun$': $tType). 6.60/1.40 tff(type_def_48, type, 'A_n_vec_a_n_vec_bool_fun_fun$': $tType). 6.60/1.40 tff(type_def_49, type, 'N_n_fun_a_n_vec_fun$': $tType). 6.60/1.40 tff(type_def_50, type, 'Nat_nat_fun$': $tType). 6.60/1.40 tff(type_def_51, type, 'N_a_n_vec_n_vec_fun_set$': $tType). 6.60/1.40 tff(type_def_52, type, 'Nat_n_vec_n_vec$': $tType). 6.60/1.40 tff(type_def_53, type, 'Nat$': $tType). 6.60/1.40 tff(type_def_54, type, 'N_nat_fun_set$': $tType). 6.60/1.40 tff(type_def_55, type, 'A_n_vec_n_vec_set$': $tType). 6.60/1.40 tff(type_def_56, type, 'N_int_fun$': $tType). 6.60/1.40 tff(type_def_57, type, 'N$': $tType). 6.60/1.40 tff(type_def_58, type, 'A_a_n_vec_a_n_vec_fun_fun$': $tType). 6.60/1.40 tff(type_def_59, type, 'N_a_fun_bool_fun$': $tType). 6.60/1.40 tff(type_def_60, type, 'N_nat_fun_bool_fun$': $tType). 6.60/1.40 tff(type_def_61, type, 'N_n_fun_bool_fun$': $tType). 6.60/1.40 tff(type_def_62, type, 'N_a_set_fun$': $tType). 6.60/1.40 tff(type_def_63, type, 'N_n_fun_set$': $tType). 6.60/1.40 tff(type_def_64, type, 'N_n_fun_a_fun$': $tType). 6.60/1.40 tff(type_def_65, type, 'Nat_n_a_fun_fun$': $tType). 6.60/1.40 tff(type_def_66, type, 'Nat_nat_sum_set$': $tType). 6.60/1.40 tff(type_def_67, type, tlbool: $tType). 6.60/1.40 tff(type_def_68, type, 'A_a_bool_fun_fun$': $tType). 6.60/1.40 tff(type_def_69, type, 'N_n_fun_n_a_fun_fun$': $tType). 6.60/1.40 tff(type_def_70, type, 'N_nat_a_fun_fun$': $tType). 6.60/1.40 tff(type_def_71, type, 'A_a_n_vec_n_vec_fun$': $tType). 6.60/1.40 tff(type_def_72, type, 'N_a_n_vec_fun_set$': $tType). 6.60/1.40 tff(type_def_73, type, 'N_n_prod_set$': $tType). 6.60/1.40 tff(type_def_74, type, 'N_a_bool_fun_fun$': $tType). 6.60/1.40 tff(type_def_75, type, 'A_bool_fun$': $tType). 6.60/1.40 tff(type_def_76, type, 'A_set$': $tType). 6.60/1.40 tff(type_def_77, type, 'N_a_fun$': $tType). 6.60/1.40 tff(type_def_78, type, 'Nat_nat_fun_n_vec$': $tType). 6.60/1.40 tff(type_def_79, type, 'N_a_n_vec_n_vec_n_vec_fun$': $tType). 6.60/1.40 tff(type_def_80, type, 'Nat_nat_set_fun$': $tType). 6.60/1.40 tff(type_def_81, type, 'N_n_a_set_fun_fun$': $tType). 6.60/1.40 tff(type_def_82, type, 'A$': $tType). 6.60/1.40 tff(type_def_83, type, 'N_n_n_fun_a_fun_fun$': $tType). 6.60/1.40 tff(type_def_84, type, 'N_n_fun$': $tType). 6.60/1.40 tff(type_def_85, type, 'Nat_n_vec$': $tType). 6.60/1.40 tff(type_def_86, type, 'A_n_vec$': $tType). 6.60/1.40 tff(type_def_87, type, 'A_a_a_fun_fun$': $tType). 6.60/1.40 tff(type_def_88, type, 'Nat_a_set_fun$': $tType). 6.60/1.40 tff(type_def_89, type, 'Nat_option_set$': $tType). 6.60/1.40 tff(type_def_90, type, 'A_n_vec_a_n_vec_fun$': $tType). 6.60/1.40 tff(type_def_91, type, 'N_n_fun_nat_a_fun_fun$': $tType). 6.60/1.40 tff(type_def_92, type, 'A_n_vec_n_vec_n_vec_n_vec$': $tType). 6.60/1.40 tff(type_def_93, type, 'A_a_fun$': $tType). 6.60/1.40 tff(type_def_94, type, 'Nat_ennreal_fun$': $tType). 6.60/1.40 tff(type_def_95, type, 'A_n_vec_n_vec_n_vec$': $tType). 6.60/1.40 tff(type_def_96, type, 'Int_int_bool_fun_fun$': $tType). 6.60/1.40 tff(type_def_97, type, 'N_nat_bool_fun_fun$': $tType). 6.60/1.40 tff(type_def_98, type, 'Nat_nat_fun_bool_fun$': $tType). 6.60/1.40 tff(type_def_99, type, 'Nat_bool_fun$': $tType). 6.60/1.40 tff(type_def_100, type, 'Ennreal$': $tType). 6.60/1.40 tff(type_def_101, type, 'N_set_set$': $tType). 6.60/1.40 tff(type_def_102, type, 'N_a_n_vec_set_fun$': $tType). 6.60/1.40 tff(type_def_103, type, 'Nat_n_a_n_vec_fun_fun$': $tType). 6.60/1.40 tff(type_def_104, type, 'A_n_vec_bool_fun$': $tType). 6.60/1.40 tff(type_def_105, type, 'Nat_set$': $tType). 6.60/1.40 tff(type_def_106, type, 'N_a_n_vec_n_vec_fun_bool_fun$': $tType). 6.60/1.40 tff(type_def_107, type, 'N_n_bool_fun_fun$': $tType). 6.60/1.40 tff(type_def_108, type, 'Nat_nat_a_fun_fun$': $tType). 6.60/1.40 tff(type_def_109, type, 'Int_n_vec$': $tType). 6.60/1.40 tff(type_def_110, type, 'Nat_n_bool_fun_fun$': $tType). 6.60/1.40 tff(type_def_111, type, 'N_bool_fun$': $tType). 6.60/1.40 tff(type_def_112, type, 'A_n_n_fun_vec_n_n_fun_vec$': $tType). 6.60/1.40 tff(type_def_113, type, 'Nat_a_n_vec_fun$': $tType). 6.60/1.40 tff(type_def_114, type, 'N_a_n_vec_n_vec_fun$': $tType). 6.60/1.40 tff(func_def_0, type, 'van$': ('A_n_vec_n_vec$' * 'N$' * 'A$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_1, type, 'plus$a': 'A$' > 'A_a_fun$'). 6.60/1.40 tff(func_def_2, type, 'vdw$': ('A_n_vec_n_vec$' * 'N$' * 'N$' * 'A$') > 'N_n_a_fun_fun$'). 6.60/1.40 tff(func_def_3, type, 'vcz$': ('N_set$' * 'N_n_a_n_vec_fun_fun$' * 'N_a_n_vec_fun$' * 'N_n_fun$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_4, type, 'prod$b': ('Nat_ennreal_fun$' * 'Nat_set$') > 'Ennreal$'). 6.60/1.40 tff(func_def_5, type, 'sum$n': ('A_a_fun$' * 'A_set$') > 'A$'). 6.60/1.40 tff(func_def_6, type, 'vee$': ('A_n_vec_n_vec$' * 'A_n_vec$' * 'N$') > 'N_n_a_fun_fun$'). 6.60/1.40 tff(func_def_7, type, 'plus$b': ('A_n_vec_n_vec$' * 'A_n_vec_n_vec$') > 'A_n_vec_n_vec$'). 6.60/1.40 tff(func_def_8, type, 'uvl$': 'N_n_fun_set$' > 'N_n_fun_bool_fun$'). 6.60/1.40 tff(func_def_9, type, 'vec_lambda$c': 'N_a_n_vec_n_vec_fun$' > 'A_n_vec_n_vec_n_vec$'). 6.60/1.40 tff(func_def_10, type, 'set_of_vector$e': 'Nat_n_vec$' > 'Nat_set$'). 6.60/1.40 tff(func_def_11, type, 'uvr$': ('A$' * 'Nat_a_fun$') > 'Nat_a_fun$'). 6.60/1.40 tff(func_def_12, type, 'top$v': 'N_n_sum_set$'). 6.60/1.40 tff(func_def_13, type, 'transpose_row$b': 'A_n_vec_n_vec_n_vec$' > 'N_a_n_vec_n_vec_fun$'). 6.60/1.40 tff(func_def_14, type, 'uyo$': 'N_n_n_fun_a_fun_fun$' > 'N_n_fun_n_a_fun_fun$'). 6.60/1.40 tff(func_def_15, type, 'trace$a': 'A_n_n_fun_vec_n_n_fun_vec$' > 'A$'). 6.60/1.40 tff(func_def_16, type, 'map_matrix$h': ('A_n_vec_n_vec_a_fun$' * 'A_n_vec_n_vec_n_vec_n_vec$') > 'A_n_vec_n_vec$'). 6.60/1.40 tff(func_def_17, type, 'uwc$': 'A_bool_fun$'). 6.60/1.40 tff(func_def_18, type, 'top$w': 'Nat_option_set$'). 6.60/1.40 tff(func_def_19, type, 'sum$a': ('N_a_fun$' * 'N_set$') > 'A$'). 6.60/1.40 tff(func_def_20, type, 'vaf$': ('A_n_vec_n_vec$' * 'N$' * 'A$') > 'N_n_a_fun_fun$'). 6.60/1.40 tff(func_def_21, type, 'span$': ('A_a_n_vec_a_n_vec_fun_fun$' * 'A_n_vec_set$') > 'A_n_vec_set$'). 6.60/1.40 tff(func_def_22, type, 'fun_app$ab': ('Nat_nat_a_fun_fun$' * 'Nat$') > 'Nat_a_fun$'). 6.60/1.40 tff(func_def_23, type, 'uud$': 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_24, type, 'h$': 'N_a_fun$'). 6.60/1.40 tff(func_def_25, type, 'vcu$': ('Nat_bool_fun$' * 'Nat_nat_fun$') > 'Nat_bool_fun$'). 6.60/1.40 tff(func_def_26, type, 'vam$': ('A_n_vec_n_vec$' * 'N$' * 'N$') > 'N_n_a_fun_fun$'). 6.60/1.40 tff(func_def_27, type, 'uwk$': ('A_n_vec$' * 'A_n_vec$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_28, type, 'vaz$': 'A_a_fun$'). 6.60/1.40 tff(func_def_29, type, 'fun_app$ao': ('Nat_nat_nat_fun_fun$' * 'Nat$') > 'Nat_nat_fun$'). 6.60/1.40 tff(func_def_30, type, 'det$': 'A_n_vec_n_vec_a_fun$'). 6.60/1.40 tff(func_def_31, type, 'uzh$': ('Nat_n_vec_n_vec$' * 'Nat_n_vec$' * 'N$') > 'N_nat_fun$'). 6.60/1.40 tff(func_def_32, type, 'vcp$': 'Nat_bool_fun$' > 'Nat_bool_fun$'). 6.60/1.40 tff(func_def_33, type, 'uwl$': ('A_n_vec_n_vec$' * 'A_n_vec_n_vec$' * 'A_n_vec_a_n_vec_fun$') > 'N_n_a_n_vec_fun_fun$'). 6.60/1.40 tff(func_def_34, type, 'top$a': 'N_a_n_vec_n_vec_fun_set$'). 6.60/1.40 tff(func_def_35, type, 'uuy$': 'N_a_fun_bool_fun$'). 6.60/1.40 tff(func_def_36, type, 'vbw$': ('Nat_set$' * 'Nat_n_a_fun_fun$' * 'Nat_n_bool_fun_fun$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_37, type, 'coord$': 'A_n_vec_n_vec$' > 'A_n_vec_a_n_vec_fun$'). 6.60/1.40 tff(func_def_38, type, 'vdf$': ('N_a_fun$' * 'N_a_n_vec_fun$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_39, type, 'uus$': (tlbool * 'N_a_fun$' * 'N_a_fun$') > 'N_a_fun_bool_fun$'). 6.60/1.40 tff(func_def_40, type, 'vbv$': ('N_set$' * 'Nat_n_a_fun_fun$' * 'Nat_n_bool_fun_fun$') > 'Nat_a_fun$'). 6.60/1.40 tff(func_def_41, type, 'uzi$': ('A_n_n_fun_vec_n_vec$' * 'A_n_n_fun_vec$') > 'N_n_n_fun_a_fun_fun$'). 6.60/1.40 tff(func_def_42, type, 'fun_app$bc': ('A_nat_fun$' * 'A$') > 'Nat$'). 6.60/1.40 tff(func_def_43, type, 'vdr$': ('A_n_vec_a_n_vec_fun$' * 'A_n_vec_a_n_vec_fun$') > 'A_n_vec_a_n_vec_fun$'). 6.60/1.40 tff(func_def_44, type, 'vcs$': ('Nat_bool_fun$' * 'Nat_bool_fun$') > 'Nat_bool_fun$'). 6.60/1.40 tff(func_def_45, type, 'uyj$': ('Nat_nat_a_fun_fun$' * 'Nat_set$') > 'Nat_a_fun$'). 6.60/1.40 tff(func_def_46, type, 'fun_app$av': ('Nat_n_bool_fun_fun$' * 'Nat$') > 'N_bool_fun$'). 6.60/1.40 tff(func_def_47, type, 'uve$': 'A_n_vec_n_vec_n_vec$' > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_48, type, 'uzv$': ('A_n_vec$' * 'A_n_vec_n_vec$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_49, type, 'row_add$': ('A_n_vec_n_vec$' * 'N$' * 'N$') > 'A_a_n_vec_n_vec_fun$'). 6.60/1.40 tff(func_def_50, type, 'vae$': ('A_n_vec_n_vec$' * 'N$' * 'A$') > 'N_n_a_fun_fun$'). 6.60/1.40 tff(func_def_51, type, 'ved$': ('Nat_nat_fun$' * 'Nat_bool_fun$') > 'Nat_bool_fun$'). 6.60/1.40 tff(func_def_52, type, 'map_matrix$i': ('A_a_n_vec_n_vec_fun$' * 'A_n_vec_n_vec$') > 'A_n_vec_n_vec_n_vec_n_vec$'). 6.60/1.40 tff(func_def_53, type, 'collect$d': 'A_n_vec_bool_fun$' > 'A_n_vec_set$'). 6.60/1.40 tff(func_def_54, type, 'uvo$': ('Nat_a_fun$' * 'A$') > 'Nat_a_fun$'). 6.60/1.40 tff(func_def_55, type, 'y$': 'A_n_vec_n_vec$'). 6.60/1.40 tff(func_def_56, type, 'vcx$': 'N_nat_fun$' > 'Nat_bool_fun$'). 6.60/1.40 tff(func_def_57, type, 'top$aa': 'Nat_nat_prod_set$'). 6.60/1.40 tff(func_def_58, type, 'uyv$': ('N_n_fun_n_a_fun_fun$' * 'N_n_fun_set$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_59, type, 'top$s': 'Nat_nat_sum_set$'). 6.60/1.40 tff(func_def_60, type, 'vef$': ('A_n_vec_n_vec$' * 'A_n_vec$') > 'N_n_a_n_vec_fun_fun$'). 6.60/1.40 tff(func_def_61, type, 'vdn$': ('A_n_vec_n_vec$' * 'A_n_vec_n_vec$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_62, type, 'vdm$': ('N$' * 'N_a_fun$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_63, type, 'uxi$': ('N_n_fun_a_fun$' * 'N_a_fun$' * 'N_set$') > 'N_n_fun_a_fun$'). 6.60/1.40 tff(func_def_64, type, 'matrix_scalar_mult$': ('A$' * 'A_n_vec_n_vec$') > 'A_n_vec_n_vec$'). 6.60/1.40 tff(func_def_65, type, 'fun_app$ai': ('Nat_n_a_fun_fun$' * 'Nat$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_66, type, 'mult_row$': ('A_n_vec_n_vec$' * 'N$') > 'A_a_n_vec_n_vec_fun$'). 6.60/1.40 tff(func_def_67, type, 'uxj$': ('N_n_fun_a_fun$' * 'Nat_a_fun$') > 'N_n_fun_nat_a_fun_fun$'). 6.60/1.40 tff(func_def_68, type, 'collect$a': 'Nat_bool_fun$' > 'Nat_set$'). 6.60/1.40 tff(func_def_69, type, 'uws$': ('N_a_n_vec_fun$' * 'A_n_vec$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_70, type, 'columnvector_row$a': ('Nat_n_vec$' * 'N$') > 'Nat_n_vec$'). 6.60/1.40 tff(func_def_71, type, 'uvp$': ('N_n_fun_a_fun$' * 'A$') > 'N_n_fun_a_fun$'). 6.60/1.40 tff(func_def_72, type, 'zero$': 'A_n_vec$'). 6.60/1.40 tff(func_def_73, type, 'scalar_product$d': ('A_n_vec_n_vec$' * 'A_n_vec_n_vec$') > 'A_n_vec$'). 6.60/1.40 tff(func_def_74, type, 'top$d': 'N_a_fun_set$'). 6.60/1.40 tff(func_def_75, type, 'vaw$': ('A_n_vec_n_vec$' * 'A_n_vec_n_vec$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_76, type, 'uut$': ('A_n_vec$' * 'N_a_n_vec_n_vec_fun$') > 'N_a_n_vec_n_vec_fun$'). 6.60/1.40 tff(func_def_77, type, 'fun_app$c': ('A_a_n_vec_a_n_vec_fun_fun$' * 'A$') > 'A_n_vec_a_n_vec_fun$'). 6.60/1.40 tff(func_def_78, type, 'uzk$': ('A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec$') > 'N_n_a_n_vec_fun_fun$'). 6.60/1.40 tff(func_def_79, type, 'fun_app$aq': ('Int_int_fun$' * $int) > $int). 6.60/1.40 tff(func_def_80, type, 'vdv$': 'A_n_vec_a_n_vec_fun$'). 6.60/1.40 tff(func_def_81, type, 'vbx$': ('Nat_set$' * 'N_nat_bool_fun_fun$') > 'N_nat_bool_fun_fun$'). 6.60/1.40 tff(func_def_82, type, 'vbs$': 'Nat_n_a_n_vec_fun_fun$' > 'N_nat_a_n_vec_fun_fun$'). 6.60/1.40 tff(func_def_83, type, 'times$j': ('N_a_fun_set$' * 'N_a_fun_set$') > 'N_a_fun_set$'). 6.60/1.40 tff(func_def_84, type, 'uum$': 'N_a_fun$' > 'N_a_fun_bool_fun$'). 6.60/1.40 tff(func_def_85, type, 'mult_row_row$': ('A_n_vec_n_vec$' * 'N$' * 'A$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_86, type, 'collect$c': 'N_a_fun_bool_fun$' > 'N_a_fun_set$'). 6.60/1.40 tff(func_def_87, type, 'vec_nth$e': ('Nat_n_vec_n_vec$' * 'N$') > 'Nat_n_vec$'). 6.60/1.40 tff(func_def_88, type, 'matrix_vector_mult$c': ('A_n_vec_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$') > 'A_n_vec_n_vec_n_vec$'). 6.60/1.40 tff(func_def_89, type, 'collect$f': 'N_n_fun_bool_fun$' > 'N_n_fun_set$'). 6.60/1.40 tff(func_def_90, type, 'prod$a': ('N_a_n_vec_fun$' * 'N_set$') > 'A_n_vec$'). 6.60/1.40 tff(func_def_91, type, 'uxe$': ('N_a_fun$' * 'N_n_fun_a_fun$' * 'N_n_fun_set$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_92, type, 'val$': ('A_n_vec_n_vec$' * 'N$' * 'N$') > 'N_n_a_fun_fun$'). 6.60/1.40 tff(func_def_93, type, 'top$m': 'N_n_fun_bool_fun$'). 6.60/1.40 tff(func_def_94, type, 'uwa$': 'N_a_n_vec_fun_bool_fun$'). 6.60/1.40 tff(func_def_95, type, 'uwh$': ('A_n_n_fun_vec$' * 'A_n_n_fun_vec$') > 'N_n_fun_a_fun$'). 6.60/1.40 tff(func_def_96, type, 'times$c': 'Nat_nat_nat_fun_fun$'). 6.60/1.40 tff(func_def_97, type, 'vbj$': ('N$' * 'A_n_vec$' * 'A_n_vec_n_vec$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_98, type, 'matrix_vector_mult$': 'A_n_vec_n_vec$' > 'A_n_vec_a_n_vec_fun$'). 6.60/1.40 tff(func_def_99, type, 'uun$': ('Nat_a_fun$' * 'A_n_vec$') > 'Nat_a_n_vec_fun$'). 6.60/1.40 tff(func_def_100, type, 'vbd$': ('N_a_n_vec_a_n_vec_fun_fun$' * 'A_n_vec$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_101, type, 'columnvector_row$': 'A_n_vec_n_vec_n_vec$' > 'N_a_n_vec_n_vec_n_vec_fun$'). 6.60/1.40 tff(func_def_102, type, 'matrix_change_of_basis$': ('A_n_vec_n_vec$' * 'A_n_vec_n_vec$') > 'A_n_vec_n_vec$'). 6.60/1.40 tff(func_def_103, type, 'zero$a': 'A$'). 6.60/1.40 tff(func_def_104, type, 'uwt$': ('N_a_fun$' * 'N_a_fun$') > 'N_n_a_fun_fun$'). 6.60/1.40 tff(func_def_105, type, 'cart_basis$': 'A_n_vec_n_vec$'). 6.60/1.40 tff(func_def_106, type, 'vay$': ('A_n_vec_a_fun$' * 'A_n_vec$') > 'A_n_vec_a_n_vec_fun$'). 6.60/1.40 tff(func_def_107, type, 'fun_app$y': ('N_n_fun$' * 'N$') > 'N$'). 6.60/1.40 tff(func_def_108, type, 'uxh$': ('N_n_fun_a_fun$' * 'N_a_fun$') > 'N_n_fun_n_a_fun_fun$'). 6.60/1.40 tff(func_def_109, type, 'comp$': ('A_n_vec_a_fun$' * 'N_a_n_vec_fun$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_110, type, 'vbf$': ('A_n_vec_a_n_vec_fun$' * 'N_a_n_vec_fun$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_111, type, 'x$a': 'N$'). 6.60/1.40 tff(func_def_112, type, 'uuk$': 'N_a_n_vec_fun$' > 'N_n_a_fun_fun$'). 6.60/1.40 tff(func_def_113, type, 'vector_scalar_mult$c': ('Nat$' * 'Nat_n_vec$') > 'Nat_n_vec$'). 6.60/1.40 tff(func_def_114, type, 'uuj$': 'N_a_n_vec_n_vec_fun$' > 'N_n_a_n_vec_fun_fun$'). 6.60/1.40 tff(func_def_115, type, 'vdg$': ('N$' * 'N$' * 'A_n_vec_n_vec$' * 'A$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_116, type, 'fun_app$an': ('N_n_a_set_fun_fun$' * 'N$') > 'N_a_set_fun$'). 6.60/1.40 tff(func_def_117, type, 'scalar_product$c': ('A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$') > 'A_n_vec_n_vec$'). 6.60/1.40 tff(func_def_118, type, 'uyx$': 'N_n_fun_nat_a_fun_fun$' > 'Nat_n_n_fun_a_fun_fun$'). 6.60/1.40 tff(func_def_119, type, 'uxv$': ('N_n_a_fun_fun$' * 'N_set$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_120, type, 'vdx$': ('A_n_vec_n_vec$' * 'N$' * 'N$' * 'A$') > 'N_n_a_fun_fun$'). 6.60/1.40 tff(func_def_121, type, 'vec$b': 'A_n_vec$' > 'A_n_vec_n_vec$'). 6.60/1.40 tff(func_def_122, type, 'times$': 'A_a_a_fun_fun$'). 6.60/1.40 tff(func_def_123, type, 'times$e': ('A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$') > 'A_n_vec_n_vec_n_vec$'). 6.60/1.40 tff(func_def_124, type, 'columnvector_row$c': 'A_n_vec$' > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_125, type, 'times$p': ('Nat_set_set$' * 'Nat_set_set$') > 'Nat_set_set$'). 6.60/1.40 tff(func_def_126, type, 'times$n': ('A_set$' * 'A_set$') > 'A_set$'). 6.60/1.40 tff(func_def_127, type, 'uwm$': ('A_n_vec_n_vec$' * 'A_n_vec_n_vec$') > 'N_n_a_n_vec_fun_fun$'). 6.60/1.40 tff(func_def_128, type, 'sum$c': ('N_n_fun_a_fun$' * 'N_n_fun_set$') > 'A$'). 6.60/1.40 tff(func_def_129, type, 'interchange_columns_row$': ('A_n_vec_n_vec$' * 'N$') > 'N_n_a_n_vec_fun_fun$'). 6.60/1.40 tff(func_def_130, type, 'fun_app$j': ('A_n_vec_a_fun$' * 'A_n_vec$') > 'A$'). 6.60/1.40 tff(func_def_131, type, 'top$': 'N_set$'). 6.60/1.40 tff(func_def_132, type, 'vcc$': ('N_set$' * 'N_n_bool_fun_fun$') > 'N_n_bool_fun_fun$'). 6.60/1.40 tff(func_def_133, type, 'map_matrix$a': ('A_a_n_vec_fun$' * 'A_n_vec_n_vec$') > 'A_n_vec_n_vec_n_vec$'). 6.60/1.40 tff(func_def_134, type, 'collect$h': 'A_n_vec_n_vec_bool_fun$' > 'A_n_vec_n_vec_set$'). 6.60/1.40 tff(func_def_135, type, 'times$a': ('A_n_vec_n_vec$' * 'A_n_vec_n_vec$') > 'A_n_vec_n_vec$'). 6.60/1.40 tff(func_def_136, type, 'uup$': ('N_a_fun$' * 'A_n_vec$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_137, type, 'uwu$': ('N_a_fun$' * 'N_a_fun$' * 'N_set$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_138, type, 'uzo$': 'A_n_vec$' > 'A_a_n_vec_fun$'). 6.60/1.40 tff(func_def_139, type, 'vde$': ('N_set$' * 'N_a_set_fun$') > 'A_bool_fun$'). 6.60/1.40 tff(func_def_140, type, 'fun_app$z': ('N_n_a_n_vec_fun_fun$' * 'N$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_141, type, 'times$o': ('A_set_set$' * 'A_set_set$') > 'A_set_set$'). 6.60/1.40 tff(func_def_142, type, 'of_nat$': 'Nat$' > $int). 6.60/1.40 tff(func_def_143, type, 'top$j': 'N_n_fun_set$'). 6.60/1.40 tff(func_def_144, type, 'uvw$': ('A_n_vec_n_vec$' * 'N_a_fun$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_145, type, 'fun_app$ba': ('N_a_n_vec_n_vec_bool_fun_fun$' * 'N$') > 'A_n_vec_n_vec_bool_fun$'). 6.60/1.40 tff(func_def_146, type, 'columnvector_row$b': 'A_n_vec_n_vec$' > 'N_a_n_vec_n_vec_fun$'). 6.60/1.40 tff(func_def_147, type, 'vac$': ('A_n_vec_n_vec$' * 'A_n_vec$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_148, type, 'fun_app$bh': ('Nat_a_set_fun$' * 'Nat$') > 'A_set$'). 6.60/1.40 tff(func_def_149, type, 'uxr$': 'A_n_vec_n_vec_n_vec$' > 'A_n_vec_n_vec_bool_fun$'). 6.60/1.40 tff(func_def_150, type, 'vaj$': ('A_n_vec_n_vec$' * 'A_n_vec_n_vec$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_151, type, 'mat_row$a': 'A$' > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_152, type, 'fun_app$bg': ('Nat_n_fun$' * 'Nat$') > 'N$'). 6.60/1.40 tff(func_def_153, type, 'map_matrix$d': ('A_nat_fun$' * 'A_n_vec_n_vec$') > 'Nat_n_vec_n_vec$'). 6.60/1.40 tff(func_def_154, type, 'sum$b': ('N_a_n_vec_n_vec_fun$' * 'N_set$') > 'A_n_vec_n_vec$'). 6.60/1.40 tff(func_def_155, type, 'uub$': 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_156, type, 'vdt$': ('N_a_n_vec_fun$' * 'N_bool_fun$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_157, type, 'vec_nth$a': 'A_n_vec$' > 'N_a_fun$'). 6.60/1.40 tff(func_def_158, type, 'uzg$': ('A_n_vec_n_vec$' * 'A_n_vec_n_vec$') > 'N_n_a_fun_fun$'). 6.60/1.40 tff(func_def_159, type, 'veb$': 'Nat_nat_bool_fun_fun$'). 6.60/1.40 tff(func_def_160, type, 'vec_nth$c': 'A_n_vec_n_vec_n_vec_n_vec$' > 'N_a_n_vec_n_vec_n_vec_fun$'). 6.60/1.40 tff(func_def_161, type, 'vdq$': ('N_a_fun$' * 'N_a_fun$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_162, type, 'vector_scalar_mult$b': ('A_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$') > 'A_n_vec_n_vec_n_vec$'). 6.60/1.40 tff(func_def_163, type, 'fun_app$am': ('N_a_set_fun$' * 'N$') > 'A_set$'). 6.60/1.40 tff(func_def_164, type, 'vec_nth$': 'A_n_vec_n_vec$' > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_165, type, 'vah$': ('N$' * 'A_n_vec_n_vec$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_166, type, 'vdo$': ('A_n_vec$' * 'A_n_vec$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_167, type, 'vba$': ('A_n_vec_a_n_vec_fun$' * 'A$') > 'A_n_vec_a_n_vec_fun$'). 6.60/1.40 tff(func_def_168, type, 'prod$c': ('Nat_nat_fun$' * 'Nat_set$') > 'Nat$'). 6.60/1.40 tff(func_def_169, type, 'vdp$': ('N_a_n_vec_fun$' * 'N_a_n_vec_fun$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_170, type, 'fun_app$ak': ('N_n_fun_n_a_fun_fun$' * 'N_n_fun$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_171, type, 'uxm$': ('N_n_fun_a_fun$' * 'N_n_fun_a_fun$' * 'N_n_fun_set$') > 'N_n_fun_a_fun$'). 6.60/1.40 tff(func_def_172, type, 'vbr$': ('N_set$' * 'Nat_n_a_n_vec_fun_fun$' * 'Nat_n_bool_fun_fun$') > 'Nat_a_n_vec_fun$'). 6.60/1.40 tff(func_def_173, type, 'g$': 'N_a_fun$'). 6.60/1.40 tff(func_def_174, type, 'uxt$': 'A_n_vec_n_vec$' > 'A_n_vec_bool_fun$'). 6.60/1.40 tff(func_def_175, type, 'times$f': ('Nat_n_vec$' * 'Nat_n_vec$') > 'Nat_n_vec$'). 6.60/1.40 tff(func_def_176, type, 'fun_app$ar': ('N_n_fun_a_n_vec_fun$' * 'N_n_fun$') > 'A_n_vec$'). 6.60/1.40 tff(func_def_177, type, 'vcl$': ('N$' * 'N_n_a_n_vec_fun_fun$' * 'N_a_n_vec_fun$') > 'N_n_a_n_vec_fun_fun$'). 6.60/1.40 tff(func_def_178, type, 'fun_app$v': ('Nat_nat_fun$' * 'Nat$') > 'Nat$'). 6.60/1.40 tff(func_def_179, type, 'vec_nth$m': 'A_n_vec_n_n_fun_vec$' > 'N_n_fun_a_n_vec_fun$'). 6.60/1.40 tff(func_def_180, type, 'vdh$': 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_181, type, 'map_matrix$g': ('A_n_vec_a_n_vec_fun$' * 'A_n_vec_n_vec_n_vec$') > 'A_n_vec_n_vec_n_vec$'). 6.60/1.40 tff(func_def_182, type, 'top$f': 'A_set$'). 6.60/1.40 tff(func_def_183, type, 'fun_app$ah': ('N_nat_a_fun_fun$' * 'N$') > 'Nat_a_fun$'). 6.60/1.40 tff(func_def_184, type, 'uyy$': ('N_n_fun_nat_a_fun_fun$' * 'N_n_fun_set$') > 'Nat_a_fun$'). 6.60/1.40 tff(func_def_185, type, 'uww$': ('N_a_n_vec_fun$' * 'N_a_n_vec_fun$' * 'N_set$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_186, type, 'vec$': 'Nat_nat_fun$' > 'Nat_bool_fun$'). 6.60/1.40 tff(func_def_187, type, 'transpose_row$c': 'A_n_vec_n_vec$' > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_188, type, 'vbk$': ('A$' * 'A_n_vec_n_vec$') > 'N_n_a_fun_fun$'). 6.60/1.40 tff(func_def_189, type, 'span$a': ('A_a_a_fun_fun$' * 'A_set$') > 'A_set$'). 6.60/1.40 tff(func_def_190, type, 'uwj$': ('A_n_vec_n_vec$' * 'A_n_vec_n_vec$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_191, type, 'sum$q': ('Nat_nat_set_fun$' * 'Nat_set$') > 'Nat_set$'). 6.60/1.40 tff(func_def_192, type, 'fun_app$ac': ('N_n_fun_nat_a_fun_fun$' * 'N_n_fun$') > 'Nat_a_fun$'). 6.60/1.40 tff(func_def_193, type, 'uxp$': 'N_n_fun_n_vec$' > 'N_n_fun_bool_fun$'). 6.60/1.40 tff(func_def_194, type, 'top$ab': 'Nat_n_prod_set$'). 6.60/1.40 tff(func_def_195, type, 'uya$': ('N_n_a_n_vec_fun_fun$' * 'N_set$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_196, type, 'vdy$': 'A_a_fun$'). 6.60/1.40 tff(func_def_197, type, 'uxa$': ('Nat_a_fun$' * 'N_a_fun$' * 'N_set$') > 'Nat_a_fun$'). 6.60/1.40 tff(func_def_198, type, 'vak$': ('A_n_vec_n_vec$' * 'N$' * 'A$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_199, type, 'prod$': ('N_a_fun$' * 'N_set$') > 'A$'). 6.60/1.40 tff(func_def_200, type, 'uyi$': 'Nat_nat_a_fun_fun$' > 'Nat_nat_a_fun_fun$'). 6.60/1.40 tff(func_def_201, type, 'uyp$': ('N_n_n_fun_a_fun_fun$' * 'N_set$') > 'N_n_fun_a_fun$'). 6.60/1.40 tff(func_def_202, type, 'mat_row$': 'A_n_vec$' > 'N_a_n_vec_n_vec_fun$'). 6.60/1.40 tff(func_def_203, type, 'uzn$': 'A_n_vec$' > 'A_n_vec_a_n_vec_fun$'). 6.60/1.40 tff(func_def_204, type, 'vcy$': ('N_set$' * 'N_set$' * 'N_n_a_n_vec_fun_fun$' * 'N_a_n_vec_fun$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_205, type, 'uua$': 'N_a_fun_bool_fun$'). 6.60/1.40 tff(func_def_206, type, 'uzy$': ('N_a_n_vec_fun$' * 'N_set$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_207, type, 'vbn$': ('N_n_a_n_vec_fun_fun$' * 'N_n_fun$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_208, type, 'veg$': ('A_n_vec_n_vec$' * 'A_n_vec$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_209, type, 'fun_app$w': ('A_n_vec_n_vec_a_fun$' * 'A_n_vec_n_vec$') > 'A$'). 6.60/1.40 tff(func_def_210, type, 'fun_app$au': ('N_a_n_vec_set_fun$' * 'N$') > 'A_n_vec_set$'). 6.60/1.40 tff(func_def_211, type, tltrue: tlbool). 6.60/1.40 tff(func_def_212, type, 'uxc$': ('Nat_a_fun$' * 'Nat_a_fun$' * 'Nat_set$') > 'Nat_a_fun$'). 6.60/1.40 tff(func_def_213, type, 'uvh$': 'N_a_fun_set$' > 'N_a_fun_bool_fun$'). 6.60/1.40 tff(func_def_214, type, 'vdc$': ('Nat_set$' * 'Nat_nat_set_fun$') > 'Nat_bool_fun$'). 6.60/1.40 tff(func_def_215, type, 'comp$d': ('A_n_vec_a_n_vec_fun$' * 'N_a_n_vec_fun$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_216, type, 'vector_scalar_mult$a': ('A_n_vec$' * 'A_n_vec_n_vec$') > 'A_n_vec_n_vec$'). 6.60/1.40 tff(func_def_217, type, 'vec_lambda$': 'N_a_fun$' > 'A_n_vec$'). 6.60/1.40 tff(func_def_218, type, 'times$d': $int > 'Int_int_fun$'). 6.60/1.40 tff(func_def_219, type, 'matrix$': ('A_n_vec_n_vec$' * 'A_n_vec_n_vec$' * 'A_n_vec_a_n_vec_fun$') > 'A_n_vec_n_vec$'). 6.60/1.40 tff(func_def_220, type, 'map_matrix$': ('A_a_fun$' * 'A_n_vec_n_vec$') > 'A_n_vec_n_vec$'). 6.60/1.40 tff(func_def_221, type, 'map_matrix$e': ('Nat_a_n_vec_fun$' * 'Nat_n_vec_n_vec$') > 'A_n_vec_n_vec_n_vec$'). 6.60/1.40 tff(func_def_222, type, 'top$x': 'N_option_set$'). 6.60/1.40 tff(func_def_223, type, 'vbe$': ('N_set$' * 'N_a_n_vec_a_n_vec_fun_fun$') > 'A_n_vec_a_n_vec_fun$'). 6.60/1.40 tff(func_def_224, type, 'x$': 'A_n_vec_n_vec$'). 6.60/1.40 tff(func_def_225, type, 'uzq$': ('A_n_vec_n_vec$' * 'N_a_n_vec_fun$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_226, type, 'vag$': 'A_n_vec_n_vec$' > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_227, type, 'fun_app$bj': ('A_n_vec_a_n_vec_bool_fun_fun$' * 'A_n_vec$') > 'A_n_vec_bool_fun$'). 6.60/1.40 tff(func_def_228, type, 'uyd$': ('N_nat_a_fun_fun$' * 'N_set$') > 'Nat_a_fun$'). 6.60/1.40 tff(func_def_229, type, 'uvb$': 'Nat_n_vec_n_vec$' > 'N_nat_fun$'). 6.60/1.40 tff(func_def_230, type, 'top$c': 'N_a_n_vec_fun_set$'). 6.60/1.40 tff(func_def_231, type, 'set_of_vector$f': 'A_n_vec$' > 'A_set$'). 6.60/1.40 tff(func_def_232, type, 'uwz$': ('Nat_a_fun$' * 'N_a_fun$') > 'Nat_n_a_fun_fun$'). 6.60/1.40 tff(func_def_233, type, 'sum$j': ('N_a_n_vec_set_fun$' * 'N_set$') > 'A_n_vec_set$'). 6.60/1.40 tff(func_def_234, type, 'vcv$': ('Nat_bool_fun$' * 'Nat_bool_fun$' * 'Nat_nat_nat_fun_fun$') > 'Nat_bool_fun$'). 6.60/1.40 tff(func_def_235, type, 'trace$d': 'A_n_vec_n_vec_a_fun$'). 6.60/1.40 tff(func_def_236, type, 'sum$i': ('N_a_n_vec_n_vec_n_vec_fun$' * 'N_set$') > 'A_n_vec_n_vec_n_vec$'). 6.60/1.40 tff(func_def_237, type, 'collect$e': 'A_bool_fun$' > 'A_set$'). 6.60/1.40 tff(func_def_238, type, 'uxq$': 'Nat_nat_fun_n_vec$' > 'Nat_nat_fun_bool_fun$'). 6.60/1.40 tff(func_def_239, type, 'vbi$': ('A_n_vec$' * 'A_n_vec_n_vec$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_240, type, 'uvj$': 'A_n_vec_set$' > 'A_n_vec_bool_fun$'). 6.60/1.40 tff(func_def_241, type, 'fun_app$at': ('Nat_nat_set_fun$' * 'Nat$') > 'Nat_set$'). 6.60/1.40 tff(func_def_242, type, 'vbt$': ('Nat_set$' * 'Nat_n_bool_fun_fun$') > 'N_nat_bool_fun_fun$'). 6.60/1.40 tff(func_def_243, type, 'row_add_row$': ('A_n_vec_n_vec$' * 'N$' * 'N$' * 'A$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_244, type, 'vds$': ('N_set$' * 'N_bool_fun$') > 'N_bool_fun$'). 6.60/1.40 tff(func_def_245, type, 'vbu$': ('Nat_set$' * 'Nat_n_a_n_vec_fun_fun$' * 'Nat_n_bool_fun_fun$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_246, type, 'vce$': ('N_set$' * 'N_n_bool_fun_fun$') > 'N_n_bool_fun_fun$'). 6.60/1.40 tff(func_def_247, type, 'uuc$': 'N$' > 'N_a_fun_bool_fun$'). 6.60/1.40 tff(func_def_248, type, 'uyc$': 'N_nat_a_fun_fun$' > 'Nat_n_a_fun_fun$'). 6.60/1.40 tff(func_def_249, type, 'fun_app$b': ('A_n_vec_a_n_vec_fun$' * 'A_n_vec$') > 'A_n_vec$'). 6.60/1.40 tff(func_def_250, type, 'uxn$': 'A_n_vec_n_vec$' > 'A_n_vec_bool_fun$'). 6.60/1.40 tff(func_def_251, type, 'vbg$': ('N$' * 'A$' * 'N_a_n_vec_fun$' * 'N_a_n_vec_fun$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_252, type, 'uur$': 'A_n_vec_a_fun$' > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_253, type, 'uxx$': ('N_n_a_fun_fun$' * 'N_set$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_254, type, 'top$n': 'Nat_nat_fun_set$'). 6.60/1.40 tff(func_def_255, type, 'w$': 'N_a_fun$'). 6.60/1.40 tff(func_def_256, type, 'uxy$': ('N_n_a_n_vec_fun_fun$' * 'N_set$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_257, type, 'fun_app$as': ('N_a_n_vec_bool_fun_fun$' * 'N$') > 'A_n_vec_bool_fun$'). 6.60/1.40 tff(func_def_258, type, 'vec_nth$d': 'Nat_n_vec$' > 'N_nat_fun$'). 6.60/1.40 tff(func_def_259, type, 'uzp$': 'A$' > 'A_a_fun$'). 6.60/1.40 tff(func_def_260, type, 'uwf$': ('Int_n_vec$' * 'Int_n_vec$') > 'N_int_fun$'). 6.60/1.40 tff(func_def_261, type, 'vec_nth$i': ('N_n_fun_n_vec$' * 'N$') > 'N_n_fun$'). 6.60/1.40 tff(func_def_262, type, 'uxw$': 'N_n_a_fun_fun$' > 'N_n_a_fun_fun$'). 6.60/1.40 tff(func_def_263, type, 'set_of_vector$c': 'Nat_nat_fun_n_vec$' > 'Nat_nat_fun_set$'). 6.60/1.40 tff(func_def_264, type, 'row$': ('N$' * 'A_n_vec_n_vec$') > 'A_n_vec$'). 6.60/1.40 tff(func_def_265, type, 'uxs$': 'Nat_n_vec$' > 'Nat_bool_fun$'). 6.60/1.40 tff(func_def_266, type, 'uvi$': 'N_set$' > 'N_bool_fun$'). 6.60/1.40 tff(func_def_267, type, 'sum$p': ('Nat_ennreal_fun$' * 'Nat_set$') > 'Ennreal$'). 6.60/1.40 tff(func_def_268, type, 'uzw$': ('A$' * 'A_n_vec$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_269, type, 'uyr$': 'Nat_n_n_fun_a_fun_fun$' > 'N_n_fun_nat_a_fun_fun$'). 6.60/1.40 tff(func_def_270, type, 'uzs$': ('A_n_vec_n_vec$' * 'A_n_vec$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_271, type, 'top$b': 'N_nat_fun_set$'). 6.60/1.40 tff(func_def_272, type, 'uuo$': ('N_n_fun_a_fun$' * 'A_n_vec$') > 'N_n_fun_a_n_vec_fun$'). 6.60/1.40 tff(func_def_273, type, 'vector_matrix_mult$c': ('A_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$') > 'A_n_vec_n_vec$'). 6.60/1.40 tff(func_def_274, type, 'vdi$': 'N_a_fun$'). 6.60/1.40 tff(func_def_275, type, 'fun_app$i': ('N_n_fun_a_fun$' * 'N_n_fun$') > 'A$'). 6.60/1.40 tff(func_def_276, type, 'var$': ('N$' * 'A_n_vec_n_vec$' * 'A_n_vec$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_277, type, 'vav$': ('A_n_vec_n_vec$' * 'A_n_vec_n_vec$') > 'N_n_a_n_vec_fun_fun$'). 6.60/1.40 tff(func_def_278, type, 'matrix_vector_mult$b': ('A_n_n_fun_vec_n_vec$' * 'A_n_n_fun_vec$') > 'A_n_vec$'). 6.60/1.40 tff(func_def_279, type, 'vbq$': ('N_set$' * 'Nat_n_bool_fun_fun$') > 'Nat_n_bool_fun_fun$'). 6.60/1.40 tff(func_def_280, type, 'uwn$': ('A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$' * 'N$') > 'N_n_a_n_vec_fun_fun$'). 6.60/1.40 tff(func_def_281, type, 'mat_mult_row$a': ('A_n_vec_n_vec$' * 'A_n_vec_n_vec$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_282, type, 'vai$': ('A_n_vec_n_vec$' * 'A_n_vec_n_vec$') > 'N_n_a_fun_fun$'). 6.60/1.40 tff(func_def_283, type, 'uvu$': 'A_n_vec_a_fun$' > 'A_n_vec_a_n_vec_fun$'). 6.60/1.40 tff(func_def_284, type, 'vec_lambda$b': 'N_nat_fun$' > 'Nat_n_vec$'). 6.60/1.40 tff(func_def_285, type, 'vax$': 'A$' > 'A_a_fun$'). 6.60/1.40 tff(func_def_286, type, 'uym$': ('N_n_a_set_fun_fun$' * 'N_set$') > 'N_a_set_fun$'). 6.60/1.40 tff(func_def_287, type, 'fun_app$bi': ('Nat_ennreal_fun$' * 'Nat$') > 'Ennreal$'). 6.60/1.40 tff(func_def_288, type, 'column_add$': ('A_n_vec_n_vec$' * 'N$' * 'N$') > 'A_a_n_vec_n_vec_fun$'). 6.60/1.40 tff(func_def_289, type, 'uvs$': ('A$' * 'N_n_fun_a_fun$') > 'N_n_fun_a_fun$'). 6.60/1.40 tff(func_def_290, type, 'vdd$': ('N_set$' * 'N_a_n_vec_set_fun$') > 'A_n_vec_bool_fun$'). 6.60/1.40 tff(func_def_291, type, 'fun_app$bk': ('A_a_bool_fun_fun$' * 'A$') > 'A_bool_fun$'). 6.60/1.40 tff(func_def_292, type, 'divide$': 'A$' > 'A_a_fun$'). 6.60/1.40 tff(func_def_293, type, 'vec_nth$j': 'N_n_vec$' > 'N_n_fun$'). 6.60/1.40 tff(func_def_294, type, 'f$': 'N_a_fun$'). 6.60/1.40 tff(func_def_295, type, 'uuh$': 'N_n_fun_a_n_vec_fun$' > 'N_n_n_fun_a_fun_fun$'). 6.60/1.40 tff(func_def_296, type, 'mat_mult_row$': ('A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$') > 'N_a_n_vec_n_vec_fun$'). 6.60/1.40 tff(func_def_297, type, 'fun_app$af': ('N_nat_a_n_vec_fun_fun$' * 'N$') > 'Nat_a_n_vec_fun$'). 6.60/1.40 tff(func_def_298, type, 'uzf$': ('A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$') > 'N_n_a_n_vec_fun_fun$'). 6.60/1.40 tff(func_def_299, type, 'sum$m': ('N_int_fun$' * 'N_set$') > $int). 6.60/1.40 tff(func_def_300, type, 'uuv$': 'N_a_fun$' > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_301, type, 'uvz$': 'Nat_nat_fun_bool_fun$'). 6.60/1.40 tff(func_def_302, type, 'uzr$': 'A_n_vec_n_vec$' > 'N_n_a_fun_fun$'). 6.60/1.40 tff(func_def_303, type, 'vbb$': 'A_n_vec_a_n_vec_fun$'). 6.60/1.40 tff(func_def_304, type, 'uyf$': 'Nat_n_a_fun_fun$' > 'N_nat_a_fun_fun$'). 6.60/1.40 tff(func_def_305, type, 'vda$': ('N_set$' * 'N_n_a_n_vec_fun_fun$' * 'N_a_n_vec_fun$') > 'N_n_fun_a_fun$'). 6.60/1.40 tff(func_def_306, type, 'vco$': 'Nat_nat_bool_fun_fun$' > 'Nat_nat_bool_fun_fun$'). 6.60/1.40 tff(func_def_307, type, 'uue$': 'N_a_fun$' > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_308, type, 'trace$b': 'A_n_vec_n_vec_n_vec_n_vec$' > 'A_n_vec_n_vec$'). 6.60/1.40 tff(func_def_309, type, 'top$ac': 'N_nat_prod_set$'). 6.60/1.40 tff(func_def_310, type, 'matrix$a': 'A_n_vec_a_n_vec_fun$' > 'A_n_vec_n_vec$'). 6.60/1.40 tff(func_def_311, type, 'vcj$': ('N_set$' * 'N_n_a_fun_fun$' * 'N_n_bool_fun_fun$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_312, type, 'uzz$': ('A_n_vec_n_vec$' * 'A_n_vec$') > 'N_a_fun_bool_fun$'). 6.60/1.40 tff(func_def_313, type, 'scalar_product$b': ('A_n_n_fun_vec$' * 'A_n_n_fun_vec$') > 'A$'). 6.60/1.40 tff(func_def_314, type, 'uva$': 'N_a_fun_bool_fun$'). 6.60/1.40 tff(func_def_315, type, 'top$i': 'N_bool_fun$'). 6.60/1.40 tff(func_def_316, type, 'uzu$': ('A_n_vec$' * 'A_n_vec_n_vec$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_317, type, 'uux$': 'N_a_fun$' > 'N_n_a_fun_fun$'). 6.60/1.40 tff(func_def_318, type, 'uvf$': 'A_n_vec_n_vec$' > 'N_a_fun$'). 6.60/1.40 tff(func_def_319, type, 'uuw$': 'N_n_a_fun_fun$'). 6.60/1.40 tff(func_def_320, type, 'vab$': ('A_n_vec_n_vec$' * 'A_n_vec_n_vec$' * 'A_n_vec_a_n_vec_fun$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_321, type, 'fun_app$ap': ('N_int_fun$' * 'N$') > $int). 6.60/1.40 tff(func_def_322, type, 'vdl$': ('N$' * 'N_a_n_vec_fun$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_323, type, 'uvc$': 'A_n_n_fun_vec_n_n_fun_vec$' > 'N_n_fun_a_fun$'). 6.60/1.40 tff(func_def_324, type, 'matrix_matrix_mult$': ('A_n_vec_n_vec$' * 'A_n_vec_n_vec$') > 'A_n_vec_n_vec$'). 6.60/1.40 tff(func_def_325, type, 'uwg$': ('Nat_n_vec$' * 'Nat_n_vec$') > 'N_nat_fun$'). 6.60/1.40 tff(func_def_326, type, 'vcb$': ('N_set$' * 'N_nat_a_n_vec_fun_fun$' * 'N_nat_bool_fun_fun$') > 'Nat_a_n_vec_fun$'). 6.60/1.40 tff(func_def_327, type, 'vby$': ('Nat_set$' * 'N_nat_a_n_vec_fun_fun$' * 'N_nat_bool_fun_fun$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_328, type, 'vcn$': ('Nat_bool_fun$' * 'Nat_nat_bool_fun_fun$') > 'Nat_bool_fun$'). 6.60/1.40 tff(func_def_329, type, 'vct$': ('Nat_set$' * 'Nat_nat_bool_fun_fun$') > 'Nat_nat_bool_fun_fun$'). 6.60/1.40 tff(func_def_330, type, 'trace$': 'Nat_n_vec_n_vec$' > 'Nat$'). 6.60/1.40 tff(func_def_331, type, 'transpose$': 'A_n_vec_n_vec$' > 'A_n_vec_n_vec$'). 6.60/1.40 tff(func_def_332, type, 'mult_column$': ('A_n_vec_n_vec$' * 'N$') > 'A_a_n_vec_n_vec_fun$'). 6.60/1.40 tff(func_def_333, type, 'fun_app$ad': ('Nat_n_n_fun_a_fun_fun$' * 'Nat$') > 'N_n_fun_a_fun$'). 6.60/1.40 tff(func_def_334, type, 'vcm$': ('N$' * 'N_n_a_n_vec_fun_fun$' * 'N_a_n_vec_fun$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_335, type, 'uzj$': ('A_n_vec_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$' * 'N$') > 'N_a_n_vec_n_vec_fun$'). 6.60/1.40 tff(func_def_336, type, 'times$g': ('N_a_n_vec_fun$' * 'N_a_n_vec_fun$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_337, type, 'fun_app$h': ('N_nat_fun$' * 'N$') > 'Nat$'). 6.60/1.40 tff(func_def_338, type, 'top$o': 'Nat_nat_fun_bool_fun$'). 6.60/1.40 tff(func_def_339, type, 'vector_matrix_mult$d': ('A_n_vec$' * 'A_n_vec_n_vec$') > 'A_n_vec$'). 6.60/1.40 tff(func_def_340, type, 'fun_app$aa': ('Nat_a_fun$' * 'Nat$') > 'A$'). 6.60/1.40 tff(func_def_341, type, 'map_matrix$f': ('A_n_vec_nat_fun$' * 'A_n_vec_n_vec_n_vec$') > 'Nat_n_vec_n_vec$'). 6.60/1.40 tff(func_def_342, type, 'uza$': ('Nat_n_vec$' * 'Nat_n_vec_n_vec$' * 'N$') > 'N_nat_fun$'). 6.60/1.40 tff(func_def_343, type, 'vector_scalar_mult$': 'A_a_n_vec_a_n_vec_fun_fun$'). 6.60/1.40 tff(func_def_344, type, 'fun_app$a': ('N_a_n_vec_fun$' * 'N$') > 'A_n_vec$'). 6.60/1.40 tff(func_def_345, type, 'vaq$': ('N$' * 'A_n_vec_n_vec$' * 'A_n_vec$') > 'N_n_a_fun_fun$'). 6.60/1.40 tff(func_def_346, type, 'uyk$': ('N_n_a_set_fun_fun$' * 'N_set$') > 'N_a_set_fun$'). 6.60/1.40 tff(func_def_347, type, 'uzc$': ('A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec_n_vec$' * 'N$') > 'N_a_n_vec_n_vec_fun$'). 6.60/1.40 tff(func_def_348, type, 'uvq$': ('N_a_fun$' * 'A$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_349, type, 'power$': 'A$' > 'Nat_a_fun$'). 6.60/1.40 tff(func_def_350, type, 'vec_nth$f': 'A_n_n_fun_vec$' > 'N_n_fun_a_fun$'). 6.60/1.40 tff(func_def_351, type, 'column$': ('N$' * 'A_n_vec_n_vec$') > 'A_n_vec$'). 6.60/1.40 tff(func_def_352, type, 'fun_app$f': ('N_a_n_vec_n_vec_fun$' * 'N$') > 'A_n_vec_n_vec$'). 6.60/1.40 tff(func_def_353, type, 'uyl$': 'N_n_a_set_fun_fun$' > 'N_n_a_set_fun_fun$'). 6.60/1.40 tff(func_def_354, type, 'uxf$': ('Nat_a_fun$' * 'N_n_fun_a_fun$') > 'Nat_n_n_fun_a_fun_fun$'). 6.60/1.40 tff(func_def_355, type, 'uxl$': ('N_n_fun_a_fun$' * 'N_n_fun_a_fun$' * 'N_n_fun$') > 'N_n_fun_a_fun$'). 6.60/1.40 tff(func_def_356, type, 'times$m': ('A_n_vec_n_vec_set$' * 'A_n_vec_n_vec_set$') > 'A_n_vec_n_vec_set$'). 6.60/1.40 tff(func_def_357, type, 'uvn$': 'Nat_set$' > 'Nat_bool_fun$'). 6.60/1.40 tff(func_def_358, type, 'vci$': ('N_set$' * 'N_n_a_fun_fun$' * 'N_n_bool_fun_fun$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_359, type, 'fun_app$be': ('A_a_n_vec_n_vec_fun$' * 'A$') > 'A_n_vec_n_vec$'). 6.60/1.40 tff(func_def_360, type, 'uxo$': 'N_n_vec$' > 'N_bool_fun$'). 6.60/1.40 tff(func_def_361, type, 'vdz$': ('A_n_vec_n_vec$' * 'N$' * 'N$' * 'A$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_362, type, 'vej$': 'A_n_vec_n_vec$' > 'N_a_n_vec_bool_fun_fun$'). 6.60/1.40 tff(func_def_363, type, 'uul$': 'N_a_fun$' > 'N_a_fun_bool_fun$'). 6.60/1.40 tff(func_def_364, type, 'vbz$': 'N_nat_a_n_vec_fun_fun$' > 'Nat_n_a_n_vec_fun_fun$'). 6.60/1.40 tff(func_def_365, type, 'uxb$': ('Nat_a_fun$' * 'Nat_a_fun$') > 'Nat_nat_a_fun_fun$'). 6.60/1.40 tff(func_def_366, type, 'sum$k': ('N_nat_fun$' * 'N_set$') > 'Nat$'). 6.60/1.40 tff(func_def_367, type, 'vdb$': ('N_set$' * 'N_set$') > 'N_n_fun_bool_fun$'). 6.60/1.40 tff(func_def_368, type, 'times$i': ('N_a_fun$' * 'N_a_fun$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_369, type, 'vca$': ('N_set$' * 'N_nat_bool_fun_fun$') > 'Nat_n_bool_fun_fun$'). 6.60/1.40 tff(func_def_370, type, 'matrix_vector_mult$a': ('Nat_n_vec_n_vec$' * 'Nat_n_vec$') > 'Nat_n_vec$'). 6.60/1.40 tff(func_def_371, type, 'uuz$': 'N_a_fun$' > 'N_n_a_fun_fun$'). 6.60/1.40 tff(func_def_372, type, 'scalar_product$a': ('Nat_n_vec$' * 'Nat_n_vec$') > 'Nat$'). 6.60/1.40 tff(func_def_373, type, 'vau$': ('A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$') > 'N_a_n_vec_n_vec_fun$'). 6.60/1.40 tff(func_def_374, type, 'interchange_columns$': ('A_n_vec_n_vec$' * 'N$') > 'N_a_n_vec_n_vec_fun$'). 6.60/1.40 tff(func_def_375, type, 'fun_app$bd': ('A_n_vec_nat_fun$' * 'A_n_vec$') > 'Nat$'). 6.60/1.40 tff(func_def_376, type, 'times$q': ('Int_set$' * 'Int_set$') > 'Int_set$'). 6.60/1.40 tff(func_def_377, type, 'fun_app$bb': ('N_a_bool_fun_fun$' * 'N$') > 'A_bool_fun$'). 6.60/1.40 tff(func_def_378, type, 'vbm$': ('N_set$' * 'N_n_a_n_vec_fun_fun$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_379, type, 'uze$': ('A_n_vec$' * 'A_n_vec_n_vec$') > 'N_n_a_fun_fun$'). 6.60/1.40 tff(func_def_380, type, 'fun_app$k': ('A_a_fun$' * 'A$') > 'A$'). 6.60/1.40 tff(func_def_381, type, 'fun_app$n': ('Nat_nat_bool_fun_fun$' * 'Nat$') > 'Nat_bool_fun$'). 6.60/1.40 tff(func_def_382, type, 'sum$d': ('Nat_a_fun$' * 'Nat_set$') > 'A$'). 6.60/1.40 tff(func_def_383, type, 'vbo$': 'N_n_a_n_vec_fun_fun$' > 'N_n_fun_a_fun$'). 6.60/1.40 tff(func_def_384, type, 'uwb$': 'N_a_fun_bool_fun$'). 6.60/1.40 tff(func_def_385, type, 'uug$': 'Nat_a_n_vec_fun$' > 'N_nat_a_fun_fun$'). 6.60/1.40 tff(func_def_386, type, 'collect$': 'N_bool_fun$' > 'N_set$'). 6.60/1.40 tff(func_def_387, type, 'zero$b': 'A_n_vec_n_vec$'). 6.60/1.40 tff(func_def_388, type, 'collect$g': 'Nat_nat_fun_bool_fun$' > 'Nat_nat_fun_set$'). 6.60/1.40 tff(func_def_389, type, 'top$z': 'N_set_set$'). 6.60/1.40 tff(func_def_390, type, 'vad$': ('A_n_vec_n_vec$' * 'A_n_vec$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_391, type, 'uvx$': 'A_n_vec_bool_fun$'). 6.60/1.40 tff(func_def_392, type, 'vec_nth$l': ('A_n_n_fun_vec_n_vec$' * 'N$') > 'A_n_n_fun_vec$'). 6.60/1.40 tff(func_def_393, type, 'fun_app$ax': ('N_n_bool_fun_fun$' * 'N$') > 'N_bool_fun$'). 6.60/1.40 tff(func_def_394, type, 'sum$f': ('Nat_nat_fun$' * 'Nat_set$') > 'Nat$'). 6.60/1.40 tff(func_def_395, type, 'vbl$': ('A$' * 'A_n_vec_n_vec$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_396, type, 'uxd$': ('N_a_fun$' * 'N_n_fun_a_fun$') > 'N_n_n_fun_a_fun_fun$'). 6.60/1.40 tff(func_def_397, type, 'uwx$': ('N_a_fun$' * 'Nat_a_fun$') > 'N_nat_a_fun_fun$'). 6.60/1.40 tff(func_def_398, type, tlfalse: tlbool). 6.60/1.40 tff(func_def_399, type, 'uuf$': 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_400, type, 'map_matrix$b': ('A_n_vec_a_fun$' * 'A_n_vec_n_vec_n_vec$') > 'A_n_vec_n_vec$'). 6.60/1.40 tff(func_def_401, type, 'scalar_product$': ('Int_n_vec$' * 'Int_n_vec$') > $int). 6.60/1.40 tff(func_def_402, type, 'nat$': $int > 'Nat$'). 6.60/1.40 tff(func_def_403, type, 'top$l': 'A_n_vec_bool_fun$'). 6.60/1.40 tff(func_def_404, type, 'uwr$': ('N_a_n_vec_n_vec_fun$' * 'A_n_vec_n_vec$') > 'N_a_n_vec_n_vec_fun$'). 6.60/1.40 tff(func_def_405, type, 'vaa$': ('A_n_vec_n_vec$' * 'A_n_vec_n_vec$' * 'A_n_vec_a_n_vec_fun$') > 'N_n_a_fun_fun$'). 6.60/1.40 tff(func_def_406, type, 'vcw$': ('Nat_set$' * 'Nat_set$' * 'Nat$') > 'Nat_nat_fun_bool_fun$'). 6.60/1.40 tff(func_def_407, type, 'fun_app$d': ('N_a_fun$' * 'N$') > 'A$'). 6.60/1.40 tff(func_def_408, type, 'map_matrix$c': ('Nat_a_fun$' * 'Nat_n_vec_n_vec$') > 'A_n_vec_n_vec$'). 6.60/1.40 tff(func_def_409, type, 'set_of_vector$': 'A_n_vec_n_vec$' > 'A_n_vec_set$'). 6.60/1.40 tff(func_def_410, type, 'column_add_row$': ('A_n_vec_n_vec$' * 'N$' * 'N$' * 'A$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_411, type, 'det$a': 'A_n_vec_n_vec_n_vec$' > 'A_n_vec$'). 6.60/1.40 tff(func_def_412, type, 'uwp$': ('A_n_vec_n_vec$' * 'N_a_n_vec_n_vec_fun$') > 'N_a_n_vec_n_vec_fun$'). 6.60/1.40 tff(func_def_413, type, 'uxz$': 'N_n_a_n_vec_fun_fun$' > 'N_n_a_n_vec_fun_fun$'). 6.60/1.40 tff(func_def_414, type, 'fun_app$ae': ('Nat_a_n_vec_fun$' * 'Nat$') > 'A_n_vec$'). 6.60/1.40 tff(func_def_415, type, 'vbp$': 'N_set$' > 'N_n_fun_bool_fun$'). 6.60/1.40 tff(func_def_416, type, 'uwi$': ('A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$') > 'N_a_n_vec_n_vec_fun$'). 6.60/1.40 tff(func_def_417, type, 'set_of_vector$b': 'N_n_fun_n_vec$' > 'N_n_fun_set$'). 6.60/1.40 tff(func_def_418, type, 'uwo$': ('A_n_vec_n_vec$' * 'A_n_vec_n_vec$' * 'N$') > 'N_n_a_fun_fun$'). 6.60/1.40 tff(func_def_419, type, 'vec_lambda$a': 'N_a_n_vec_fun$' > 'A_n_vec_n_vec$'). 6.60/1.40 tff(func_def_420, type, 'vec_nth$b': 'A_n_vec_n_vec_n_vec$' > 'N_a_n_vec_n_vec_fun$'). 6.60/1.40 tff(func_def_421, type, 'fun_app$aw': ('N_nat_bool_fun_fun$' * 'N$') > 'Nat_bool_fun$'). 6.60/1.40 tff(func_def_422, type, 'uye$': ('Nat_n_a_fun_fun$' * 'N_set$') > 'Nat_a_fun$'). 6.60/1.40 tff(func_def_423, type, 'uyu$': 'N_n_fun_n_a_fun_fun$' > 'N_n_n_fun_a_fun_fun$'). 6.60/1.40 tff(func_def_424, type, 'vea$': ('A_n_vec_n_vec$' * 'N$' * 'N$' * 'A$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_425, type, 'set_of_vector$d': 'A_n_vec_n_vec_n_vec$' > 'A_n_vec_n_vec_set$'). 6.60/1.40 tff(func_def_426, type, 'veh$': ('N_a_fun$' * 'A$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_427, type, 'sum$h': ('N_n_fun_a_n_vec_fun$' * 'N_n_fun_set$') > 'A_n_vec$'). 6.60/1.40 tff(func_def_428, type, 'top$ad': 'N_n_prod_set$'). 6.60/1.40 tff(func_def_429, type, 'vector_matrix_mult$b': ('A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec_n_vec$') > 'A_n_vec_n_vec_n_vec$'). 6.60/1.40 tff(func_def_430, type, 'uyg$': ('Nat_n_a_fun_fun$' * 'Nat_set$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_431, type, 'top$e': 'Nat_set$'). 6.60/1.40 tff(func_def_432, type, 'uyt$': ('N_n_fun_n_a_fun_fun$' * 'N_set$') > 'N_n_fun_a_fun$'). 6.60/1.40 tff(func_def_433, type, 'times$h': ('N_a_n_vec_fun_set$' * 'N_a_n_vec_fun_set$') > 'N_a_n_vec_fun_set$'). 6.60/1.40 tff(func_def_434, type, 'vcf$': ('N_set$' * 'N_n_a_n_vec_fun_fun$' * 'N_n_bool_fun_fun$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_435, type, 'fun_app$l': ('A_a_a_fun_fun$' * 'A$') > 'A_a_fun$'). 6.60/1.40 tff(func_def_436, type, 'matrix_vector_mult$d': ('A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec$') > 'A_n_vec_n_vec$'). 6.60/1.40 tff(func_def_437, type, 'interchange_rows_row$': ('A_n_vec_n_vec$' * 'N$') > 'N_n_a_n_vec_fun_fun$'). 6.60/1.40 tff(func_def_438, type, 'uuu$': ('A$' * 'N_a_n_vec_fun$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_439, type, 'uxk$': ('N_n_fun_a_fun$' * 'Nat_a_fun$' * 'Nat_set$') > 'N_n_fun_a_fun$'). 6.60/1.40 tff(func_def_440, type, 'vector_matrix_mult$a': ('A_n_n_fun_vec$' * 'A_n_vec_n_n_fun_vec$') > 'A_n_vec$'). 6.60/1.40 tff(func_def_441, type, 'uzm$': 'A$' > 'A_n_vec_a_fun$'). 6.60/1.40 tff(func_def_442, type, 'uys$': ('Nat_n_n_fun_a_fun_fun$' * 'Nat_set$') > 'N_n_fun_a_fun$'). 6.60/1.40 tff(func_def_443, type, 'set_of_vector$a': 'N_n_vec$' > 'N_set$'). 6.60/1.40 tff(func_def_444, type, 'fun_app$e': ('N_n_a_fun_fun$' * 'N$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_445, type, 'sum$e': ('N_a_set_fun$' * 'N_set$') > 'A_set$'). 6.60/1.40 tff(func_def_446, type, 'vcq$': 'N_bool_fun$' > 'N_bool_fun$'). 6.60/1.40 tff(func_def_447, type, 'top$r': 'A_bool_fun$'). 6.60/1.40 tff(func_def_448, type, 'top$u': 'N_nat_sum_set$'). 6.60/1.40 tff(func_def_449, type, 'fun_app$bm': ('Int_int_bool_fun_fun$' * $int) > 'Int_bool_fun$'). 6.60/1.40 tff(func_def_450, type, 'uzl$': ('A_n_vec_n_vec$' * 'A_n_vec$') > 'N_n_a_fun_fun$'). 6.60/1.40 tff(func_def_451, type, 'top$t': 'Nat_n_sum_set$'). 6.60/1.40 tff(func_def_452, type, 'uxg$': ('Nat_a_fun$' * 'N_n_fun_a_fun$' * 'N_n_fun_set$') > 'Nat_a_fun$'). 6.60/1.40 tff(func_def_453, type, 'fun_app$aj': ('N_n_n_fun_a_fun_fun$' * 'N$') > 'N_n_fun_a_fun$'). 6.60/1.40 tff(func_def_454, type, 'sum$g': ('Nat_a_n_vec_fun$' * 'Nat_set$') > 'A_n_vec$'). 6.60/1.40 tff(func_def_455, type, 'vck$': ('N_set$' * 'N$' * 'N_n_a_n_vec_fun_fun$' * 'N_a_n_vec_fun$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_456, type, 'vei$': ('Nat_a_fun$' * 'Nat_a_fun$') > 'Nat_a_fun$'). 6.60/1.40 tff(func_def_457, type, 'uvy$': 'N_n_fun_bool_fun$'). 6.60/1.40 tff(func_def_458, type, 'uwe$': 'N_bool_fun$'). 6.60/1.40 tff(func_def_459, type, 'uvg$': 'N_a_n_vec_fun_set$' > 'N_a_n_vec_fun_bool_fun$'). 6.60/1.40 tff(func_def_460, type, 'v$': 'A_n_vec$'). 6.60/1.40 tff(func_def_461, type, 'vek$': ('A_n_vec$' * 'A_n_vec_n_vec$') > 'N_n_a_n_vec_fun_fun$'). 6.60/1.40 tff(func_def_462, type, 'top$ae': 'Ennreal$'). 6.60/1.40 tff(func_def_463, type, 'fun_app$bf': ('A_n_fun$' * 'A$') > 'N$'). 6.60/1.40 tff(func_def_464, type, 'uvd$': 'A_n_vec_n_vec_n_vec_n_vec$' > 'N_a_n_vec_n_vec_fun$'). 6.60/1.40 tff(func_def_465, type, 'top$k': 'A_n_vec_set$'). 6.60/1.40 tff(func_def_466, type, 'vec$a': 'A_a_n_vec_fun$'). 6.60/1.40 tff(func_def_467, type, 'top$y': 'Nat_set_set$'). 6.60/1.40 tff(func_def_468, type, 'vbh$': ('N$' * 'N_a_n_vec_fun$' * 'N_a_n_vec_fun$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_469, type, 'times$l': ('A_n_vec_set$' * 'A_n_vec_set$') > 'A_n_vec_set$'). 6.60/1.40 tff(func_def_470, type, 'comp$b': ('A_a_n_vec_fun$' * 'N_a_fun$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_471, type, 'sum$': ('N_a_n_vec_fun$' * 'N_set$') > 'A_n_vec$'). 6.60/1.40 tff(func_def_472, type, 'uyz$': ('A_n_vec_n_vec$' * 'A_n_vec_a_fun$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_473, type, 'vcr$': ('Nat_bool_fun$' * 'Nat_bool_fun$') > 'Nat_bool_fun$'). 6.60/1.40 tff(func_def_474, type, 'the$': 'N_a_fun_bool_fun$' > 'N_a_fun$'). 6.60/1.40 tff(func_def_475, type, 'collect$b': 'N_a_n_vec_fun_bool_fun$' > 'N_a_n_vec_fun_set$'). 6.60/1.40 tff(func_def_476, type, 'vec_nth$g': ('A_n_n_fun_vec_n_n_fun_vec$' * 'N_n_fun$') > 'A_n_n_fun_vec$'). 6.60/1.40 tff(func_def_477, type, 'vec_nth$h': ('Nat_nat_fun_n_vec$' * 'N$') > 'Nat_nat_fun$'). 6.60/1.40 tff(func_def_478, type, 'vdk$': ('N$' * 'N_a_fun$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_479, type, 't$': 'N_n_a_fun_fun$'). 6.60/1.40 tff(func_def_480, type, 'uyq$': ('Nat_n_n_fun_a_fun_fun$' * 'N_n_fun_set$') > 'Nat_a_fun$'). 6.60/1.40 tff(func_def_481, type, 'uzd$': ('A_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$') > 'N_n_a_n_vec_fun_fun$'). 6.60/1.40 tff(func_def_482, type, 'fun_app$o': ('A_a_n_vec_fun$' * 'A$') > 'A_n_vec$'). 6.60/1.40 tff(func_def_483, type, 'times$b': 'A_n_vec$' > 'A_n_vec_a_n_vec_fun$'). 6.60/1.40 tff(func_def_484, type, 'uwy$': ('N_a_fun$' * 'Nat_a_fun$' * 'Nat_set$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_485, type, 'transpose_row$a': ('Nat_n_vec_n_vec$' * 'N$') > 'Nat_n_vec$'). 6.60/1.40 tff(func_def_486, type, 'matrix_matrix_mult$a': ('A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$') > 'A_n_vec_n_vec_n_vec$'). 6.60/1.40 tff(func_def_487, type, 'uxu$': 'A_n_vec$' > 'A_bool_fun$'). 6.60/1.40 tff(func_def_488, type, 'uvt$': ('A$' * 'N_a_fun$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_489, type, 'vdj$': ('N$' * 'N_a_n_vec_fun$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_490, type, 'times$k': ('Nat_set$' * 'Nat_set$') > 'Nat_set$'). 6.60/1.40 tff(func_def_491, type, 'trace$c': 'A_n_vec_n_vec_n_vec$' > 'A_n_vec$'). 6.60/1.40 tff(func_def_492, type, 'uwq$': ('A_n_vec$' * 'N_a_n_vec_fun$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_493, type, 'interchange_rows$': ('A_n_vec_n_vec$' * 'N$') > 'N_a_n_vec_n_vec_fun$'). 6.60/1.40 tff(func_def_494, type, 'uyw$': ('N_n_fun_nat_a_fun_fun$' * 'Nat_set$') > 'N_n_fun_a_fun$'). 6.60/1.40 tff(func_def_495, type, 'uzt$': ('A_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_496, type, 'uvm$': 'Nat_nat_fun_set$' > 'Nat_nat_fun_bool_fun$'). 6.60/1.40 tff(func_def_497, type, 'vec_nth$k': ('Int_n_vec$' * 'N$') > $int). 6.60/1.40 tff(func_def_498, type, 'vas$': ('A_n_vec_n_vec$' * 'N$') > 'N_n_a_n_vec_fun_fun$'). 6.60/1.40 tff(func_def_499, type, 'vdu$': ('N_a_fun$' * 'N_bool_fun$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_500, type, 'comp$c': ('A_a_fun$' * 'N_a_fun$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_501, type, 'zero$c': 'Ennreal$'). 6.60/1.40 tff(func_def_502, type, 'uwv$': ('N_a_n_vec_fun$' * 'N_a_n_vec_fun$') > 'N_n_a_n_vec_fun_fun$'). 6.60/1.40 tff(func_def_503, type, 'uvk$': 'A_set$' > 'A_bool_fun$'). 6.60/1.40 tff(func_def_504, type, 'uyh$': ('Nat_nat_a_fun_fun$' * 'Nat_set$') > 'Nat_a_fun$'). 6.60/1.40 tff(func_def_505, type, 'vcg$': ('Nat_set$' * 'N_nat_a_fun_fun$' * 'N_nat_bool_fun_fun$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_506, type, 'uui$': ('N_a_n_vec_n_vec_n_vec_fun$' * 'N$') > 'N_a_n_vec_n_vec_fun$'). 6.60/1.40 tff(func_def_507, type, 'top$g': 'Nat_bool_fun$'). 6.60/1.40 tff(func_def_508, type, 'vch$': ('N_set$' * 'N_nat_a_fun_fun$' * 'N_nat_bool_fun_fun$') > 'Nat_a_fun$'). 6.60/1.40 tff(func_def_509, type, 'fun_app$al': ('N_a_n_vec_a_n_vec_fun_fun$' * 'N$') > 'A_n_vec_a_n_vec_fun$'). 6.60/1.40 tff(func_def_510, type, 'uu$': 'N_a_fun$' > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_511, type, 'plus$': 'A_n_vec$' > 'A_n_vec_a_n_vec_fun$'). 6.60/1.40 tff(func_def_512, type, 'vap$': ('A_n_vec_n_vec$' * 'A_n_vec_n_vec$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_513, type, 'sum$l': ('A_n_vec_a_n_vec_fun$' * 'A_n_vec_set$') > 'A_n_vec$'). 6.60/1.40 tff(func_def_514, type, 'uzb$': ('A_n_n_fun_vec$' * 'A_n_vec_n_n_fun_vec$') > 'N_n_n_fun_a_fun_fun$'). 6.60/1.40 tff(func_def_515, type, 'top$p': 'N_a_n_vec_fun_bool_fun$'). 6.60/1.40 tff(func_def_516, type, 'vao$': ('A_n_vec_n_vec$' * 'N$') > 'N_n_a_n_vec_fun_fun$'). 6.60/1.40 tff(func_def_517, type, 'uyn$': ('N_n_n_fun_a_fun_fun$' * 'N_n_fun_set$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_518, type, 'sum$o': ('Nat_a_set_fun$' * 'Nat_set$') > 'A_set$'). 6.60/1.40 tff(func_def_519, type, 'comp$a': ('A_n_vec_a_n_vec_fun$' * 'A_n_vec_a_n_vec_fun$') > 'A_n_vec_a_n_vec_fun$'). 6.60/1.40 tff(func_def_520, type, 'uyb$': ('N_nat_a_fun_fun$' * 'Nat_set$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_521, type, 'uuq$': 'A_n_vec$' > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_522, type, 'top$q': 'N_a_fun_bool_fun$'). 6.60/1.40 tff(func_def_523, type, 'vat$': ('A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$' * 'N$') > 'N_a_n_vec_n_vec_fun$'). 6.60/1.40 tff(func_def_524, type, 'plus$c': ('Nat_set$' * 'Nat_set$') > 'Nat_set$'). 6.60/1.40 tff(func_def_525, type, 'uzx$': ('N_a_n_vec_n_vec_fun$' * 'N_set$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_526, type, 'vbc$': 'A_n_vec$' > 'A_a_n_vec_fun$'). 6.60/1.40 tff(func_def_527, type, 'mult_column_row$': ('A_n_vec_n_vec$' * 'N$' * 'A$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_528, type, 'transpose_row$': 'A_n_vec_n_vec_n_vec_n_vec$' > 'N_a_n_vec_n_vec_n_vec_fun$'). 6.60/1.40 tff(func_def_529, type, 'uwd$': 'Nat_bool_fun$'). 6.60/1.40 tff(func_def_530, type, 'uvv$': ('A_n_vec_n_vec$' * 'A_n_vec_a_fun$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_531, type, 'scalar_product$e': 'A_n_vec$' > 'A_n_vec_a_fun$'). 6.60/1.40 tff(func_def_532, type, 'vector_matrix_mult$': ('Nat_n_vec$' * 'Nat_n_vec_n_vec$') > 'Nat_n_vec$'). 6.60/1.40 tff(func_def_533, type, 'fun_app$g': ('N_a_n_vec_n_vec_n_vec_fun$' * 'N$') > 'A_n_vec_n_vec_n_vec$'). 6.60/1.40 tff(func_def_534, type, 'vcd$': ('N_set$' * 'N_n_a_n_vec_fun_fun$' * 'N_n_bool_fun_fun$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_535, type, 'fun_app$ag': ('Nat_n_a_n_vec_fun_fun$' * 'Nat$') > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_540, type, sK10: ('A_n_vec$' * 'A_n_vec_n_vec$' * 'N$') > 'N$'). 6.60/1.40 tff(func_def_541, type, sK11: 'A_n_vec_a_n_vec_bool_fun_fun$' > 'A_n_vec$'). 6.60/1.40 tff(func_def_542, type, sK12: 'A_n_vec_a_n_vec_bool_fun_fun$' > 'A_n_vec$'). 6.60/1.40 tff(func_def_543, type, sK13: 'A_n_vec_a_n_vec_bool_fun_fun$' > 'A_n_vec$'). 6.60/1.40 tff(func_def_544, type, sK14: 'A_n_vec_a_n_vec_bool_fun_fun$' > 'A_n_vec$'). 6.60/1.40 tff(func_def_545, type, sK15: ('N_a_n_vec_fun$' * 'N_set$' * 'N_a_n_vec_fun$' * 'A_n_vec_a_n_vec_bool_fun_fun$') > 'N$'). 6.60/1.40 tff(func_def_546, type, sK16: 'N_a_n_vec_fun$' > 'A_n_vec_n_vec$'). 6.60/1.40 tff(func_def_547, type, sK17: ('N_set$' * 'N_n_fun$' * 'N_n_fun$') > 'N$'). 6.60/1.40 tff(func_def_548, type, sK18: ('N_set$' * 'N_set$' * 'N_n_fun$') > 'N$'). 6.60/1.40 tff(func_def_549, type, sK19: ('N_n_fun$' * 'N_n_fun$' * 'N_set$') > 'N$'). 6.60/1.40 tff(func_def_550, type, sK20: ('N_n_fun$' * 'N_set$' * 'N_set$') > 'N$'). 6.60/1.40 tff(func_def_551, type, sK21: ('N_n_fun$' * 'N_a_fun$' * 'N_a_fun$' * 'N_set$') > 'N$'). 6.60/1.40 tff(func_def_552, type, sK22: 'A_set$' > 'A$'). 6.60/1.40 tff(func_def_553, type, sK23: 'Nat_set$' > 'Nat$'). 6.60/1.40 tff(func_def_554, type, sK24: ('N_n_fun_n_vec$' * 'N_n_fun$') > 'N$'). 6.60/1.40 tff(func_def_555, type, sK25: $int > $int). 6.60/1.40 tff(func_def_556, type, sK26: ('Nat_nat_fun_bool_fun$' * 'Nat_nat_fun_bool_fun$') > 'Nat_nat_fun$'). 6.60/1.40 tff(func_def_557, type, sK27: ('A_n_vec_n_vec$' * 'N_a_n_vec_fun$') > 'N$'). 6.60/1.40 tff(func_def_558, type, sK28: ('N_set$' * 'N_n_fun$' * 'N_n_fun$') > 'N$'). 6.60/1.40 tff(func_def_559, type, sK29: ('N_set$' * 'N_n_fun$' * 'N_set$') > 'N$'). 6.60/1.40 tff(func_def_560, type, sK30: ('N_n_fun$' * 'N_n_fun$' * 'N_set$') > 'N$'). 6.60/1.40 tff(func_def_561, type, sK31: ('N_n_fun$' * 'N_set$' * 'N_set$') > 'N$'). 6.60/1.40 tff(func_def_562, type, sK32: ('N_n_fun$' * 'N_a_n_vec_fun$' * 'N_set$' * 'N_a_n_vec_fun$') > 'N$'). 6.60/1.40 tff(func_def_563, type, sK33: ('N_a_fun$' * 'A_n_vec$') > 'N$'). 6.60/1.40 tff(func_def_564, type, sK34: ('Nat_set$' * 'Nat_a_fun$' * 'Nat_nat_fun$' * 'Nat_set$' * 'Nat_nat_fun$' * 'Nat_a_fun$') > 'Nat$'). 6.60/1.40 tff(func_def_565, type, sK35: ('Nat_set$' * 'Nat_nat_fun$' * 'Nat_set$' * 'Nat_nat_fun$') > 'Nat$'). 6.60/1.40 tff(func_def_566, type, sK36: ('A_n_vec_n_vec$' * 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$') > 'A_n_vec_a_n_vec_fun$'). 6.60/1.40 tff(func_def_567, type, sK37: ('N_set$' * 'N_a_n_vec_fun$') > 'N$'). 6.60/1.40 tff(func_def_568, type, sK38: ('N_a_fun$' * 'N_set$' * 'N_a_fun$' * 'N_set$' * 'N_n_fun$' * 'N_n_fun$') > 'N$'). 6.60/1.40 tff(func_def_569, type, sK39: ('N_set$' * 'N_set$' * 'N_n_fun$' * 'N_n_fun$') > 'N$'). 6.60/1.40 tff(func_def_570, type, sK40: 'Int_int_bool_fun_fun$' > $int). 6.60/1.40 tff(func_def_571, type, sK41: 'Int_int_bool_fun_fun$' > $int). 6.60/1.40 tff(func_def_572, type, sK42: 'Int_int_bool_fun_fun$' > $int). 6.60/1.40 tff(func_def_573, type, sK43: 'Int_int_bool_fun_fun$' > $int). 6.60/1.40 tff(func_def_574, type, sK44: 'Int_int_bool_fun_fun$' > $int). 6.60/1.40 tff(func_def_575, type, sK45: ('N_n_fun_bool_fun$' * 'N_n_fun_bool_fun$') > 'N_n_fun$'). 6.60/1.40 tff(func_def_576, type, sK46: ('N_a_fun$' * 'N_a_fun$' * 'N_set$') > 'N$'). 6.60/1.40 tff(func_def_577, type, sK47: 'N_a_fun$'). 6.60/1.40 tff(func_def_578, type, sK48: ('A_set$' * 'Nat_a_fun$' * 'Nat_set$' * 'Nat_a_fun$' * 'A_nat_fun$' * 'A_a_fun$') > 'Nat$'). 6.60/1.40 tff(func_def_579, type, sK49: ('A_set$' * 'Nat_set$' * 'Nat_a_fun$' * 'A_nat_fun$') > 'A$'). 6.60/1.40 tff(func_def_580, type, sK50: ('Nat_set$' * 'Nat_ennreal_fun$') > 'Nat$'). 6.60/1.40 tff(func_def_581, type, sK51: ('Nat_set$' * 'Nat_ennreal_fun$') > 'Nat$'). 6.60/1.40 tff(func_def_582, type, sK52: 'A_n_vec_n_vec_n_vec$' > 'N$'). 6.60/1.40 tff(func_def_583, type, sK53: 'A_n_vec_n_vec_n_vec$' > 'N$'). 6.60/1.40 tff(func_def_584, type, sK54: 'Nat_bool_fun$' > 'Nat$'). 6.60/1.40 tff(func_def_585, type, sK55: ('N_a_fun_bool_fun$' * 'N_a_fun$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_586, type, sK56: ('N_a_fun_bool_fun$' * 'N_a_fun_bool_fun$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_587, type, sK57: 'N_bool_fun$' > 'N$'). 6.60/1.40 tff(func_def_588, type, sK58: 'N_bool_fun$' > 'N$'). 6.60/1.40 tff(func_def_589, type, sK59: ('N_set$' * 'N_set$' * 'N_n_fun$' * 'N_n_fun$') > 'N$'). 6.60/1.40 tff(func_def_590, type, sK60: ('N_a_n_vec_fun$' * 'N_set$' * 'N_set$' * 'N_n_fun$' * 'N_n_fun$' * 'N_a_n_vec_fun$') > 'N$'). 6.60/1.40 tff(func_def_591, type, sK61: ('A_n_vec_bool_fun$' * 'A_n_vec_bool_fun$') > 'A_n_vec$'). 6.60/1.40 tff(func_def_592, type, sK62: 'N_a_fun$' > 'A_n_vec$'). 6.60/1.40 tff(func_def_593, type, sK63: ('Nat_nat_set_fun$' * 'Nat_set$') > 'Nat$'). 6.60/1.40 tff(func_def_594, type, sK64: ('N_a_fun$' * 'N_set$') > 'N$'). 6.60/1.40 tff(func_def_595, type, sK65: ('Nat_set$' * 'A_set$' * 'Nat_a_fun$') > 'A$'). 6.60/1.40 tff(func_def_596, type, sK66: ('Nat_set$' * 'A_set$' * 'Nat_a_fun$' * 'Nat$') > 'Nat$'). 6.60/1.40 tff(func_def_597, type, sK67: ('Nat_a_fun$' * 'A_a_fun$' * 'Nat_set$' * 'A_set$' * 'Nat_a_fun$') > 'Nat$'). 6.60/1.40 tff(func_def_598, type, sK68: $int > $int). 6.60/1.40 tff(func_def_599, type, sK69: ('A_a_fun$' * 'A_set$' * 'N_set$' * 'N_a_fun$' * 'N_a_fun$') > 'N$'). 6.60/1.40 tff(func_def_600, type, sK70: ('A_set$' * 'N_set$' * 'N_a_fun$') > 'A$'). 6.60/1.40 tff(func_def_601, type, sK71: ('A_set$' * 'N_set$' * 'N_a_fun$' * 'N$') > 'N$'). 6.60/1.40 tff(func_def_602, type, sK72: ('A_bool_fun$' * 'A_bool_fun$') > 'A$'). 6.60/1.40 tff(func_def_603, type, sK73: 'A_n_vec_n_vec$' > 'N$'). 6.60/1.40 tff(func_def_604, type, sK74: 'A_n_vec_n_vec$' > 'N$'). 6.60/1.40 tff(func_def_605, type, sK75: ('A_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$') > 'N$'). 6.60/1.40 tff(func_def_606, type, sK76: 'N_set$' > 'N$'). 6.60/1.40 tff(func_def_607, type, sK77: ('A_n_vec$' * 'A_n_vec$') > 'N$'). 6.60/1.40 tff(func_def_608, type, sK78: ('N_a_fun_bool_fun$' * 'N_a_fun_bool_fun$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_609, type, sK79: ('N_a_fun_bool_fun$' * 'N_a_fun$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_610, type, sK80: ('N_nat_fun$' * 'Nat_a_fun$' * 'N_set$' * 'N_a_fun$' * 'Nat_set$') > 'N$'). 6.60/1.40 tff(func_def_611, type, sK81: ('N_nat_fun$' * 'N_set$' * 'Nat_set$') > 'Nat$'). 6.60/1.40 tff(func_def_612, type, sK82: ('N_nat_fun$' * 'N_set$' * 'Nat_set$' * 'N$') > 'N$'). 6.60/1.40 tff(func_def_613, type, sK83: 'Int_int_fun$' > $int). 6.60/1.40 tff(func_def_614, type, sK84: 'Int_int_fun$' > $int). 6.60/1.40 tff(func_def_615, type, sK85: ('N$' * 'N_n_vec$') > 'N$'). 6.60/1.40 tff(func_def_616, type, sK86: 'N_a_fun_set$' > 'N_a_fun$'). 6.60/1.40 tff(func_def_617, type, sK87: ('Nat_a_fun$' * 'A_a_fun$' * 'Nat_a_fun$' * 'Nat_set$') > 'Nat$'). 6.60/1.40 tff(func_def_618, type, sK88: ('A_nat_fun$' * 'Nat_a_fun$' * 'A_set$') > 'A$'). 6.60/1.40 tff(func_def_619, type, sK89: ('A_nat_fun$' * 'Nat_set$' * 'Nat_a_fun$') > 'Nat$'). 6.60/1.40 tff(func_def_620, type, sK90: ('A_set$' * 'Nat_set$' * 'Nat_a_fun$') > 'Nat$'). 6.60/1.40 tff(func_def_621, type, sK91: ('A_set$' * 'A_nat_fun$' * 'Nat_set$') > 'A$'). 6.60/1.40 tff(func_def_622, type, sK92: 'A$'). 6.60/1.40 tff(func_def_623, type, sK93: ('Nat_nat_set_fun$' * 'Nat_set$' * 'Nat_nat_fun$') > 'Nat$'). 6.60/1.40 tff(func_def_624, type, sK94: ('Nat_nat_set_fun$' * 'Nat$' * 'Nat_set$') > 'Nat_nat_fun$'). 6.60/1.40 tff(func_def_625, type, sK95: ('A_a_bool_fun_fun$' * 'N_a_fun$' * 'N_a_fun$' * 'N_set$') > 'N$'). 6.60/1.40 tff(func_def_626, type, sK96: 'A_a_bool_fun_fun$' > 'A$'). 6.60/1.40 tff(func_def_627, type, sK97: 'A_a_bool_fun_fun$' > 'A$'). 6.60/1.40 tff(func_def_628, type, sK98: 'A_a_bool_fun_fun$' > 'A$'). 6.60/1.40 tff(func_def_629, type, sK99: 'A_a_bool_fun_fun$' > 'A$'). 6.60/1.40 tff(func_def_630, type, sK100: ('Nat_set$' * 'Nat_a_fun$' * 'Nat_a_fun$') > 'Nat$'). 6.60/1.40 tff(func_def_631, type, sK101: 'N_a_bool_fun_fun$' > 'A_n_vec$'). 6.60/1.40 tff(func_def_632, type, sK102: 'N_a_bool_fun_fun$' > 'N$'). 6.60/1.40 tff(func_def_633, type, sK103: ('N_a_bool_fun_fun$' * 'N$') > 'A$'). 6.60/1.40 tff(func_def_634, type, sK104: ('N_a_bool_fun_fun$' * 'A_n_vec$') > 'N$'). 6.60/1.40 tff(func_def_635, type, sK105: 'N$'). 6.60/1.40 tff(func_def_636, type, sK106: 'Int_int_fun$' > $int). 6.60/1.40 tff(func_def_637, type, sK107: 'Int_int_fun$' > $int). 6.60/1.40 tff(func_def_638, type, sK108: 'N_set$' > 'N$'). 6.60/1.40 tff(func_def_639, type, sK109: 'Int_int_fun$' > $int). 6.60/1.40 tff(func_def_640, type, sK110: 'Int_int_fun$' > $int). 6.60/1.40 tff(func_def_641, type, sK111: ('Nat_bool_fun$' * 'Nat_bool_fun$') > 'Nat$'). 6.60/1.40 tff(func_def_642, type, sK112: 'N_a_n_vec_fun_set$' > 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_643, type, sK113: ('N_set$' * 'N_a_n_vec_n_vec_fun$' * 'N_a_n_vec_n_vec_fun$') > 'N$'). 6.60/1.40 tff(func_def_644, type, sK114: ('N_a_fun_bool_fun$' * 'N_a_fun$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_645, type, sK115: ('Nat_n_vec$' * 'Nat$') > 'N$'). 6.60/1.40 tff(func_def_646, type, sK116: ('Nat_n_vec$' * 'Nat_n_vec$') > 'N$'). 6.60/1.40 tff(func_def_647, type, sK117: 'Int_int_fun$' > $int). 6.60/1.40 tff(func_def_648, type, sK118: 'Int_int_fun$' > $int). 6.60/1.40 tff(func_def_649, type, sK119: ('N_a_n_vec_fun$' * 'N_set$' * 'N_a_n_vec_fun$') > 'N$'). 6.60/1.40 tff(func_def_650, type, sK120: ('N_set$' * 'N_a_fun$') > 'N$'). 6.60/1.40 tff(func_def_651, type, sK121: ('N_set$' * 'N_a_n_vec_fun$') > 'N$'). 6.60/1.40 tff(func_def_652, type, sK122: ('Nat_set$' * 'Nat_nat_fun$' * 'Nat_set$') > 'Nat$'). 6.60/1.40 tff(func_def_653, type, sK123: ('Nat_set$' * 'Nat_nat_fun$' * 'Nat_set$' * 'Nat$') > 'Nat$'). 6.60/1.40 tff(func_def_654, type, sK124: ('Nat_set$' * 'Nat_nat_fun$' * 'Nat_set$' * 'Nat_a_fun$' * 'Nat_a_fun$') > 'Nat$'). 6.60/1.40 tff(func_def_655, type, sK125: ('A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$') > 'N$'). 6.60/1.40 tff(func_def_656, type, sK126: ('N_a_fun_bool_fun$' * 'N_a_fun$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_657, type, sK127: ('N_set$' * 'N_a_n_vec_n_vec_fun$' * 'N_a_n_vec_n_vec_fun$') > 'N$'). 6.60/1.40 tff(func_def_658, type, sK128: ('Nat_set$' * 'Nat_a_fun$' * 'Nat_a_fun$') > 'Nat$'). 6.60/1.40 tff(func_def_659, type, sK129: ('N_set$' * 'N_a_fun$' * 'N_a_fun$') > 'N$'). 6.60/1.40 tff(func_def_660, type, sK130: ('A_nat_fun$' * 'Nat_set$' * 'A_set$') > 'Nat$'). 6.60/1.40 tff(func_def_661, type, sK131: ('A_nat_fun$' * 'Nat_set$' * 'A_set$' * 'A$') > 'A$'). 6.60/1.40 tff(func_def_662, type, sK132: ('A_a_fun$' * 'A_nat_fun$' * 'Nat_set$' * 'A_set$' * 'Nat_a_fun$') > 'A$'). 6.60/1.40 tff(func_def_663, type, sK133: ('Nat_set$' * 'A_nat_fun$' * 'A_set$') > 'A$'). 6.60/1.40 tff(func_def_664, type, sK134: ('A_nat_fun$' * 'Nat_a_fun$' * 'A_a_fun$' * 'A_set$') > 'A$'). 6.60/1.40 tff(func_def_665, type, sK135: ('Nat_a_fun$' * 'A_set$' * 'Nat_set$') > 'Nat$'). 6.60/1.40 tff(func_def_666, type, sK136: ('A_nat_fun$' * 'Nat_a_fun$' * 'A_set$') > 'A$'). 6.60/1.40 tff(func_def_667, type, sK137: ('A_nat_fun$' * 'Nat_a_fun$' * 'Nat_set$') > 'Nat$'). 6.60/1.40 tff(func_def_668, type, sK138: ('Nat_nat_fun$' * 'Nat_nat_fun_n_vec$') > 'N$'). 6.60/1.40 tff(func_def_669, type, sK139: ('N_set$' * 'N_n_fun$' * 'N_set$') > 'N$'). 6.60/1.40 tff(func_def_670, type, sK140: ('N_set$' * 'N_n_fun$' * 'N_set$' * 'N$') > 'N$'). 6.60/1.40 tff(func_def_671, type, sK141: ('N_set$' * 'N_a_n_vec_fun$' * 'N_a_n_vec_fun$' * 'N_n_fun$' * 'N_set$') > 'N$'). 6.60/1.40 tff(func_def_672, type, sK142: 'Nat$'). 6.60/1.40 tff(func_def_673, type, sK143: ('N_a_fun_bool_fun$' * 'N_a_fun$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_674, type, sK144: ('A_set$' * 'A_nat_fun$' * 'Nat_set$' * 'Nat_a_fun$') > 'Nat$'). 6.60/1.40 tff(func_def_675, type, sK145: ('A_set$' * 'A_nat_fun$' * 'Nat_set$' * 'Nat_a_fun$' * 'A_a_fun$' * 'Nat_a_fun$') > 'A$'). 6.60/1.40 tff(func_def_676, type, sK146: ('A_n_vec$' * 'A$') > 'N$'). 6.60/1.40 tff(func_def_677, type, sK147: ('N_a_fun$' * 'N_set$' * 'N_a_fun$' * 'N_set$' * 'N_n_fun$') > 'N$'). 6.60/1.40 tff(func_def_678, type, sK148: ('N_set$' * 'N_set$' * 'N_n_fun$') > 'N$'). 6.60/1.40 tff(func_def_679, type, sK149: ('N_set$' * 'N_set$' * 'N_n_fun$' * 'N$') > 'N$'). 6.60/1.40 tff(func_def_680, type, sK150: 'N_a_fun$'). 6.60/1.40 tff(func_def_681, type, sK151: ('A_n_vec_n_vec$' * 'A_n_vec_n_vec$') > 'N$'). 6.60/1.40 tff(func_def_682, type, sK152: 'N_a_fun_bool_fun$' > 'A_n_vec$'). 6.60/1.40 tff(func_def_683, type, sK153: 'N_a_n_vec_fun$'). 6.60/1.40 tff(func_def_684, type, sK154: ('N_a_n_vec_fun$' * 'N_a_n_vec_fun$' * 'N_set$') > 'N$'). 6.60/1.40 tff(func_def_685, type, sK155: ('N_a_n_vec_n_vec_bool_fun_fun$' * 'N$') > 'A_n_vec_n_vec$'). 6.60/1.40 tff(func_def_686, type, sK156: ('N_a_n_vec_n_vec_bool_fun_fun$' * 'A_n_vec_n_vec_n_vec$') > 'N$'). 6.60/1.40 tff(func_def_687, type, sK157: 'N_a_n_vec_n_vec_bool_fun_fun$' > 'A_n_vec_n_vec_n_vec$'). 6.60/1.40 tff(func_def_688, type, sK158: 'N_a_n_vec_n_vec_bool_fun_fun$' > 'N$'). 6.60/1.40 tff(func_def_689, type, sK159: ('A_n_vec$' * 'A_n_vec_n_vec$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_690, type, sK160: 'Nat_set$' > 'Nat$'). 6.60/1.40 tff(func_def_691, type, sK161: ('Nat_ennreal_fun$' * 'Nat_set$') > 'Nat$'). 6.60/1.40 tff(func_def_692, type, sK162: 'N_a_n_vec_bool_fun_fun$' > 'A_n_vec_n_vec$'). 6.60/1.40 tff(func_def_693, type, sK163: 'N_a_n_vec_bool_fun_fun$' > 'N$'). 6.60/1.40 tff(func_def_694, type, sK164: ('N_a_n_vec_bool_fun_fun$' * 'N$') > 'A_n_vec$'). 6.60/1.40 tff(func_def_695, type, sK165: ('N_a_n_vec_bool_fun_fun$' * 'A_n_vec_n_vec$') > 'N$'). 6.60/1.40 tff(func_def_696, type, sK166: ('Nat_ennreal_fun$' * 'Nat_set$') > 'Nat$'). 6.60/1.40 tff(func_def_697, type, sK167: 'N_a_fun$'). 6.60/1.40 tff(func_def_698, type, sK168: ('N_a_fun_bool_fun$' * 'N_a_fun$') > 'N_a_fun$'). 6.60/1.40 tff(func_def_699, type, sK169: ('Nat_set$' * 'Nat_nat_fun$') > 'Nat$'). 6.60/1.40 tff(func_def_700, type, sK170: ('Nat_nat_fun$' * 'Nat_nat_fun$' * 'Nat_set$') > 'Nat$'). 6.60/1.40 tff(func_def_701, type, sK171: ('Nat_set$' * 'Nat_nat_fun$' * 'Nat_set$') > 'Nat$'). 6.60/1.40 tff(func_def_702, type, sK172: ('Nat_nat_fun$' * 'Nat_nat_fun$' * 'Nat_set$') > 'Nat$'). 6.60/1.40 tff(func_def_703, type, sK173: ('Nat_nat_fun$' * 'Nat_set$' * 'Nat_set$') > 'Nat$'). 6.60/1.40 tff(func_def_704, type, sK174: ('Nat_nat_fun$' * 'Nat_a_fun$' * 'Nat_set$' * 'Nat_a_fun$') > 'Nat$'). 6.60/1.40 tff(func_def_705, type, sK175: ('N_bool_fun$' * 'N_bool_fun$') > 'N$'). 6.60/1.40 tff(pred_def_1, type, 'fun_app$u': ('A_bool_fun$' * 'A$') > $o). 6.60/1.40 tff(pred_def_2, type, 'finite$m': 'N_nat_prod_set$' > $o). 6.60/1.40 tff(pred_def_3, type, 'linear$b': ('A_a_n_vec_a_n_vec_fun_fun$' * 'A_a_a_fun_fun$' * 'A_n_vec_a_fun$') > $o). 6.60/1.40 tff(pred_def_4, type, 'fun_app$ay': ('N_a_n_vec_n_vec_fun_bool_fun$' * 'N_a_n_vec_n_vec_fun$') > $o). 6.60/1.40 tff(pred_def_5, type, 'finite$a': 'A_n_vec_set$' > $o). 6.60/1.40 tff(pred_def_6, type, 'member$d': ('N_n_fun$' * 'N_n_fun_set$') > $o). 6.60/1.40 tff(pred_def_7, type, 'finite$j': 'N_set_set$' > $o). 6.60/1.40 tff(pred_def_8, type, 'fun_app$m': ('Nat_bool_fun$' * 'Nat$') > $o). 6.60/1.40 tff(pred_def_9, type, 'member$a': ('Nat$' * 'Nat_set$') > $o). 6.60/1.40 tff(pred_def_10, type, 'fun_app$q': ('Nat_nat_fun_bool_fun$' * 'Nat_nat_fun$') > $o). 6.60/1.40 tff(pred_def_11, type, 'finite$c': 'Nat_nat_sum_set$' > $o). 6.60/1.40 tff(pred_def_12, type, 'less$a': ('N_set$' * 'N_set$') > $o). 6.60/1.40 tff(pred_def_13, type, 'less$': ('Ennreal$' * 'Ennreal$') > $o). 6.60/1.40 tff(pred_def_14, type, 'finite$f': 'N_n_sum_set$' > $o). 6.60/1.40 tff(pred_def_15, type, 'finite$k': 'Nat_nat_prod_set$' > $o). 6.60/1.40 tff(pred_def_16, type, 'finite$b': 'Nat_set$' > $o). 6.60/1.40 tff(pred_def_17, type, 'member$i': ('N_nat_fun$' * 'N_nat_fun_set$') > $o). 6.60/1.40 tff(pred_def_18, type, 'linear$': ('A_a_n_vec_a_n_vec_fun_fun$' * 'A_a_n_vec_a_n_vec_fun_fun$' * 'A_n_vec_a_n_vec_fun$') > $o). 6.60/1.40 tff(pred_def_19, type, 'fun_app$bl': ('Int_bool_fun$' * $int) > $o). 6.60/1.40 tff(pred_def_20, type, 'finite$e': 'N_nat_sum_set$' > $o). 6.60/1.40 tff(pred_def_21, type, 'finite$l': 'Nat_n_prod_set$' > $o). 6.60/1.40 tff(pred_def_22, type, 'fun_app$x': ('A_n_vec_n_vec_bool_fun$' * 'A_n_vec_n_vec$') > $o). 6.60/1.40 tff(pred_def_23, type, 'linear$c': ('A_a_a_fun_fun$' * 'A_a_n_vec_a_n_vec_fun_fun$' * 'A_a_n_vec_fun$') > $o). 6.60/1.40 tff(pred_def_24, type, 'finite$d': 'Nat_n_sum_set$' > $o). 6.60/1.40 tff(pred_def_25, type, 'fun_app$s': ('N_n_fun_bool_fun$' * 'N_n_fun$') > $o). 6.60/1.40 tff(pred_def_27, type, 'member$f': ('N$' * 'N_set$') > $o). 6.60/1.40 tff(pred_def_28, type, 'member$m': ($int * 'Int_set$') > $o). 6.60/1.40 tff(pred_def_29, type, 'finite$i': 'Nat_set_set$' > $o). 6.60/1.40 tff(pred_def_30, type, 'finite$': 'N_set$' > $o). 6.60/1.40 tff(pred_def_31, type, 'finite$g': 'Nat_option_set$' > $o). 6.60/1.40 tff(pred_def_32, type, 'finite$n': 'N_n_prod_set$' > $o). 6.60/1.40 tff(pred_def_33, type, 'finite$h': 'N_option_set$' > $o). 6.60/1.40 tff(pred_def_34, type, 'is_basis$': 'A_n_vec_set$' > $o). 6.60/1.40 tff(pred_def_35, type, 'finite$o': 'Nat_nat_fun_set$' > $o). 6.60/1.40 tff(pred_def_36, type, 'member$j': ('A_n_vec_n_vec$' * 'A_n_vec_n_vec_set$') > $o). 6.60/1.40 tff(pred_def_37, type, 'fun_app$az': ('N_nat_fun_bool_fun$' * 'N_nat_fun$') > $o). 6.60/1.40 tff(pred_def_38, type, 'member$': ('A_n_vec$' * 'A_n_vec_set$') > $o). 6.60/1.40 tff(pred_def_39, type, 'fun_app$r': ('N_a_n_vec_fun_bool_fun$' * 'N_a_n_vec_fun$') > $o). 6.60/1.40 tff(pred_def_40, type, 'member$h': ('N_a_n_vec_n_vec_fun$' * 'N_a_n_vec_n_vec_fun_set$') > $o). 6.60/1.40 tff(pred_def_41, type, 'member$c': ('N_a_n_vec_fun$' * 'N_a_n_vec_fun_set$') > $o). 6.60/1.40 tff(pred_def_42, type, 'fun_app$p': ('A_n_vec_bool_fun$' * 'A_n_vec$') > $o). 6.60/1.40 tff(pred_def_43, type, 'member$e': ('N_a_fun$' * 'N_a_fun_set$') > $o). 6.60/1.40 tff(pred_def_44, type, 'member$l': ('Nat_set$' * 'Nat_set_set$') > $o). 6.60/1.40 tff(pred_def_45, type, 'member$g': ('A$' * 'A_set$') > $o). 6.60/1.40 tff(pred_def_46, type, 'member$k': ('A_set$' * 'A_set_set$') > $o). 6.60/1.40 tff(pred_def_47, type, 'fun_app$t': ('N_bool_fun$' * 'N$') > $o). 6.60/1.40 tff(pred_def_48, type, 'fun_app$': ('N_a_fun_bool_fun$' * 'N_a_fun$') > $o). 6.60/1.40 tff(pred_def_49, type, 'member$b': ('Nat_nat_fun$' * 'Nat_nat_fun_set$') > $o). 6.60/1.40 tff(pred_def_50, type, 'linear$a': ('A_a_a_fun_fun$' * 'A_a_a_fun_fun$' * 'A_a_fun$') > $o). 6.60/1.40 tff(pred_def_53, type, sP0: ('N_set$' * 'N_set$' * 'N_n_fun$') > $o). 6.60/1.40 tff(pred_def_54, type, sP1: ('N_set$' * 'N_n_fun$' * 'N_n_fun$') > $o). 6.60/1.40 tff(pred_def_55, type, sP2: ('N_set$' * 'N_n_fun$' * 'N_set$') > $o). 6.60/1.40 tff(pred_def_56, type, sP3: ('N_set$' * 'N_n_fun$' * 'N_n_fun$') > $o). 6.60/1.40 tff(pred_def_57, type, sP4: ('A_nat_fun$' * 'Nat_a_fun$' * 'A_set$') > $o). 6.60/1.40 tff(pred_def_58, type, sP5: ('Nat_a_fun$' * 'A_a_fun$' * 'Nat_a_fun$' * 'Nat_set$') > $o). 6.60/1.40 tff(pred_def_59, type, sP6: ('A_nat_fun$' * 'Nat_a_fun$' * 'A_a_fun$' * 'A_set$') > $o). 6.60/1.40 tff(pred_def_60, type, sP7: ('Nat_set$' * 'A_nat_fun$' * 'A_set$') > $o). 6.60/1.40 tff(pred_def_61, type, sP8: ('Nat_set$' * 'Nat_nat_fun$' * 'Nat_set$') > $o). 6.60/1.40 tff(pred_def_62, type, sP9: ('Nat_nat_fun$' * 'Nat_nat_fun$' * 'Nat_set$') > $o). 6.60/1.40 tff(f4793,plain,( 6.60/1.40 $false), 6.60/1.40 inference(subsumption_resolution,[],[f4783,f3046])). 6.60/1.40 tff(f3046,plain,( 6.60/1.40 'sum$'('uub$','top$') = 'row$'('x$a','x$')), 6.60/1.40 inference(backward_demodulation,[],[f2429,f2980])). 6.60/1.40 tff(f2980,plain,( 6.60/1.40 ( ! [X0 : 'N$',X1 : 'A_n_vec_n_vec$'] : ('row$'(X0,X1) = 'fun_app$a'('vec_nth$'(X1),X0)) )), 6.60/1.40 inference(backward_demodulation,[],[f2399,f2492])). 6.60/1.40 tff(f2492,plain,( 6.60/1.40 ( ! [X0 : 'A_n_vec$'] : ('vec_lambda$'('vec_nth$a'(X0)) = X0) )), 6.60/1.40 inference(cnf_transformation,[],[f317])). 6.60/1.40 tff(f317,axiom,( 6.60/1.40 ! [X0 : 'A_n_vec$'] : 'vec_lambda$'('vec_nth$a'(X0)) = X0), 6.60/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 6.60/1.40 tff(f2399,plain,( 6.60/1.40 ( ! [X0 : 'N$',X1 : 'A_n_vec_n_vec$'] : ('row$'(X0,X1) = 'vec_lambda$'('vec_nth$a'('fun_app$a'('vec_nth$'(X1),X0)))) )), 6.60/1.40 inference(cnf_transformation,[],[f1736])). 6.60/1.40 tff(f1736,plain,( 6.60/1.40 ! [X0 : 'N$',X1 : 'A_n_vec_n_vec$'] : 'row$'(X0,X1) = 'vec_lambda$'('vec_nth$a'('fun_app$a'('vec_nth$'(X1),X0)))), 6.60/1.40 inference(rectify,[],[f1164])). 6.60/1.40 tff(f1164,plain,( 6.60/1.40 ! [X1 : 'N$',X0 : 'A_n_vec_n_vec$'] : 'row$'(X1,X0) = 'vec_lambda$'('vec_nth$a'('fun_app$a'('vec_nth$'(X0),X1)))), 6.60/1.40 inference(rectify,[],[f651])). 6.60/1.40 tff(f651,axiom,( 6.60/1.40 ! [X1 : 'A_n_vec_n_vec$',X0 : 'N$'] : 'row$'(X0,X1) = 'vec_lambda$'('vec_nth$a'('fun_app$a'('vec_nth$'(X1),X0)))), 6.60/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 6.60/1.40 tff(f2429,plain,( 6.60/1.40 'fun_app$a'('vec_nth$'('x$'),'x$a') = 'sum$'('uub$','top$')), 6.60/1.40 inference(cnf_transformation,[],[f903])). 6.60/1.40 tff(f903,axiom,( 6.60/1.40 'fun_app$a'('vec_nth$'('x$'),'x$a') = 'sum$'('uub$','top$')), 6.60/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 6.60/1.40 tff(f4783,plain,( 6.60/1.40 'sum$'('uub$','top$') != 'row$'('x$a','x$')), 6.60/1.40 inference(forward_demodulation,[],[f4773,f3801])). 6.60/1.40 tff(f3801,plain,( 6.60/1.40 'uub$' = 'uu$'('h$')), 6.60/1.40 inference(forward_demodulation,[],[f3800,f2976])). 6.60/1.40 tff(f2976,plain,( 6.60/1.40 ( ! [X0 : 'N_a_n_vec_fun$'] : ('vec_nth$'(sK16(X0)) = X0) )), 6.60/1.40 inference(subsumption_resolution,[],[f2015,f2595])). 6.60/1.40 tff(f2595,plain,( 6.60/1.40 ( ! [X0 : 'N_a_n_vec_fun$'] : ('member$c'(X0,'top$c')) )), 6.60/1.40 inference(cnf_transformation,[],[f59])). 6.60/1.40 tff(f59,axiom,( 6.60/1.40 ! [X0 : 'N_a_n_vec_fun$'] : 'member$c'(X0,'top$c')), 6.60/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 6.60/1.40 tff(f2015,plain,( 6.60/1.40 ( ! [X0 : 'N_a_n_vec_fun$'] : ('vec_nth$'(sK16(X0)) = X0 | ~'member$c'(X0,'top$c')) )), 6.60/1.40 inference(cnf_transformation,[],[f1424])). 6.60/1.40 tff(f1424,plain,( 6.60/1.40 ! [X0 : 'N_a_n_vec_fun$'] : ('vec_nth$'(sK16(X0)) = X0 | ~'member$c'(X0,'top$c'))), 6.60/1.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f1190,f1423])). 6.60/1.40 tff(f1423,plain,( 6.60/1.40 ! [X0 : 'N_a_n_vec_fun$'] : (? [X1 : 'A_n_vec_n_vec$'] : 'vec_nth$'(X1) = X0 => 'vec_nth$'(sK16(X0)) = X0)), 6.60/1.40 introduced(definition,[],[choice_axiom])). 6.60/1.40 tff(f1190,plain,( 6.60/1.40 ! [X0 : 'N_a_n_vec_fun$'] : (? [X1 : 'A_n_vec_n_vec$'] : 'vec_nth$'(X1) = X0 | ~'member$c'(X0,'top$c'))), 6.60/1.40 inference(ennf_transformation,[],[f1096])). 6.60/1.40 tff(f1096,plain,( 6.60/1.40 ! [X0 : 'N_a_n_vec_fun$'] : ~('member$c'(X0,'top$c') & ! [X1 : 'A_n_vec_n_vec$'] : 'vec_nth$'(X1) != X0)), 6.60/1.40 inference(flattening,[],[f1095])). 6.60/1.40 tff(f1095,plain,( 6.60/1.40 ! [X0 : 'N_a_n_vec_fun$'] : ~(! [X1 : 'A_n_vec_n_vec$'] : ~'vec_nth$'(X1) = X0 & 'member$c'(X0,'top$c'))), 6.60/1.40 inference(true_and_false_elimination,[],[f648])). 6.60/1.40 tff(f648,axiom,( 6.60/1.40 ! [X0 : 'N_a_n_vec_fun$'] : ((! [X1 : 'A_n_vec_n_vec$'] : ('vec_nth$'(X1) = X0 => $false) & 'member$c'(X0,'top$c')) => $false)), 6.60/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 6.60/1.40 tff(f3800,plain,( 6.60/1.40 'vec_nth$'(sK16('uub$')) = 'uu$'('h$')), 6.60/1.40 inference(superposition,[],[f2976,f3769])). 6.60/1.40 tff(f3769,plain,( 6.60/1.40 sK16('uub$') = sK16('uu$'('h$'))), 6.60/1.40 inference(unit_resulting_resolution,[],[f3214,f3153])). 6.60/1.40 tff(f3153,plain,( 6.60/1.40 ( ! [X0 : 'A_n_vec_n_vec$',X1 : 'A_n_vec_n_vec$'] : ('row$'(sK151(X0,X1),X0) != 'row$'(sK151(X0,X1),X1) | X0 = X1) )), 6.60/1.40 inference(forward_demodulation,[],[f3117,f2426])). 6.60/1.40 tff(f2426,plain,( 6.60/1.40 ( ! [X0 : 'A_n_vec_n_vec$'] : ('vec_lambda$a'('vec_nth$'(X0)) = X0) )), 6.60/1.40 inference(cnf_transformation,[],[f637])). 6.60/1.40 tff(f637,axiom,( 6.60/1.40 ! [X0 : 'A_n_vec_n_vec$'] : 'vec_lambda$a'('vec_nth$'(X0)) = X0), 6.60/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 6.60/1.40 tff(f3117,plain,( 6.60/1.40 ( ! [X0 : 'A_n_vec_n_vec$',X1 : 'A_n_vec_n_vec$'] : ('row$'(sK151(X0,X1),'vec_lambda$a'('vec_nth$'(X0))) != 'row$'(sK151(X0,X1),X1) | X0 = X1) )), 6.60/1.40 inference(forward_demodulation,[],[f3050,f3040])). 6.60/1.40 tff(f3040,plain,( 6.60/1.40 ( ! [X0 : 'N$',X1 : 'N_a_n_vec_fun$'] : ('row$'(X0,'vec_lambda$a'(X1)) = 'fun_app$a'(X1,X0)) )), 6.60/1.40 inference(backward_demodulation,[],[f2521,f2980])). 6.60/1.40 tff(f2521,plain,( 6.60/1.40 ( ! [X0 : 'N$',X1 : 'N_a_n_vec_fun$'] : ('fun_app$a'('vec_nth$'('vec_lambda$a'(X1)),X0) = 'fun_app$a'(X1,X0)) )), 6.60/1.40 inference(cnf_transformation,[],[f1834])). 6.60/1.40 tff(f1834,plain,( 6.60/1.40 ! [X0 : 'N$',X1 : 'N_a_n_vec_fun$'] : 'fun_app$a'('vec_nth$'('vec_lambda$a'(X1)),X0) = 'fun_app$a'(X1,X0)), 6.60/1.40 inference(rectify,[],[f115])). 6.60/1.40 tff(f115,axiom,( 6.60/1.40 ! [X1 : 'N$',X0 : 'N_a_n_vec_fun$'] : 'fun_app$a'('vec_nth$'('vec_lambda$a'(X0)),X1) = 'fun_app$a'(X0,X1)), 6.60/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 6.60/1.40 tff(f3050,plain,( 6.60/1.40 ( ! [X0 : 'A_n_vec_n_vec$',X1 : 'A_n_vec_n_vec$'] : ('fun_app$a'('vec_nth$'(X0),sK151(X0,X1)) != 'row$'(sK151(X0,X1),X1) | X0 = X1) )), 6.60/1.40 inference(backward_demodulation,[],[f2597,f2980])). 6.60/1.40 tff(f2597,plain,( 6.60/1.40 ( ! [X0 : 'A_n_vec_n_vec$',X1 : 'A_n_vec_n_vec$'] : ('fun_app$a'('vec_nth$'(X0),sK151(X0,X1)) != 'fun_app$a'('vec_nth$'(X1),sK151(X0,X1)) | X0 = X1) )), 6.60/1.40 inference(cnf_transformation,[],[f1903])). 6.60/1.40 tff(f1903,plain,( 6.60/1.40 ! [X0 : 'A_n_vec_n_vec$',X1 : 'A_n_vec_n_vec$'] : ((! [X2 : 'N$'] : 'fun_app$a'('vec_nth$'(X0),X2) = 'fun_app$a'('vec_nth$'(X1),X2) | X0 != X1) & (X0 = X1 | 'fun_app$a'('vec_nth$'(X0),sK151(X0,X1)) != 'fun_app$a'('vec_nth$'(X1),sK151(X0,X1))))), 6.60/1.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK151])],[f1901,f1902])). 6.60/1.40 tff(f1902,plain,( 6.60/1.40 ! [X0 : 'A_n_vec_n_vec$',X1 : 'A_n_vec_n_vec$'] : (? [X3 : 'N$'] : 'fun_app$a'('vec_nth$'(X1),X3) != 'fun_app$a'('vec_nth$'(X0),X3) => 'fun_app$a'('vec_nth$'(X0),sK151(X0,X1)) != 'fun_app$a'('vec_nth$'(X1),sK151(X0,X1)))), 6.60/1.40 introduced(definition,[],[choice_axiom])). 6.60/1.40 tff(f1901,plain,( 6.60/1.40 ! [X0 : 'A_n_vec_n_vec$',X1 : 'A_n_vec_n_vec$'] : ((! [X2 : 'N$'] : 'fun_app$a'('vec_nth$'(X0),X2) = 'fun_app$a'('vec_nth$'(X1),X2) | X0 != X1) & (X0 = X1 | ? [X3 : 'N$'] : 'fun_app$a'('vec_nth$'(X1),X3) != 'fun_app$a'('vec_nth$'(X0),X3)))), 6.60/1.40 inference(rectify,[],[f1900])). 6.60/1.40 tff(f1900,plain,( 6.60/1.40 ! [X1 : 'A_n_vec_n_vec$',X0 : 'A_n_vec_n_vec$'] : ((! [X2 : 'N$'] : 'fun_app$a'('vec_nth$'(X0),X2) = 'fun_app$a'('vec_nth$'(X1),X2) | X0 != X1) & (X0 = X1 | ? [X2 : 'N$'] : 'fun_app$a'('vec_nth$'(X0),X2) != 'fun_app$a'('vec_nth$'(X1),X2)))), 6.60/1.40 inference(nnf_transformation,[],[f977])). 6.60/1.40 tff(f977,plain,( 6.60/1.40 ! [X1 : 'A_n_vec_n_vec$',X0 : 'A_n_vec_n_vec$'] : (! [X2 : 'N$'] : 'fun_app$a'('vec_nth$'(X0),X2) = 'fun_app$a'('vec_nth$'(X1),X2) <=> X0 = X1)), 6.60/1.40 inference(rectify,[],[f844])). 6.60/1.40 tff(f844,axiom,( 6.60/1.40 ! [X1 : 'A_n_vec_n_vec$',X0 : 'A_n_vec_n_vec$'] : (! [X2 : 'N$'] : 'fun_app$a'('vec_nth$'(X0),X2) = 'fun_app$a'('vec_nth$'(X1),X2) <=> X0 = X1)), 6.60/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 6.60/1.40 tff(f3214,plain,( 6.60/1.40 ( ! [X0 : 'N$'] : ('row$'(X0,sK16('uu$'('h$'))) = 'row$'(X0,sK16('uub$'))) )), 6.60/1.40 inference(forward_demodulation,[],[f3194,f3161])). 6.60/1.40 tff(f3161,plain,( 6.60/1.40 ( ! [X0 : 'N_a_n_vec_fun$'] : ('vec_lambda$a'(X0) = sK16(X0)) )), 6.60/1.40 inference(superposition,[],[f2426,f2976])). 6.60/1.40 tff(f3194,plain,( 6.60/1.40 ( ! [X0 : 'N$'] : ('row$'(X0,'vec_lambda$a'('uu$'('h$'))) = 'row$'(X0,sK16('uub$'))) )), 6.60/1.40 inference(backward_demodulation,[],[f3158,f3161])). 6.60/1.40 tff(f3158,plain,( 6.60/1.40 ( ! [X0 : 'N$'] : ('row$'(X0,'vec_lambda$a'('uu$'('h$'))) = 'row$'(X0,'vec_lambda$a'('uub$'))) )), 6.60/1.40 inference(forward_demodulation,[],[f3129,f3040])). 6.60/1.40 tff(f3129,plain,( 6.60/1.40 ( ! [X0 : 'N$'] : ('fun_app$a'('uub$',X0) = 'row$'(X0,'vec_lambda$a'('uu$'('h$')))) )), 6.60/1.40 inference(forward_demodulation,[],[f3074,f3040])). 6.60/1.40 tff(f3074,plain,( 6.60/1.40 ( ! [X0 : 'N$'] : ('fun_app$a'('uub$',X0) = 'fun_app$a'('uu$'('h$'),X0)) )), 6.60/1.40 inference(backward_demodulation,[],[f3020,f3022])). 6.60/1.40 tff(f3022,plain,( 6.60/1.40 ( ! [X0 : 'N$',X1 : 'N_a_fun$'] : ('fun_app$a'('uu$'(X1),X0) = 'fun_app$a'('uvw$'('y$',X1),X0)) )), 6.60/1.40 inference(forward_demodulation,[],[f2918,f2900])). 6.60/1.40 tff(f2900,plain,( 6.60/1.40 ( ! [X2 : 'N$',X0 : 'A_n_vec_n_vec$',X1 : 'N_a_fun$'] : ('fun_app$a'('uvw$'(X0,X1),X2) = 'fun_app$a'('vdf$'(X1,'vec_nth$'(X0)),X2)) )), 6.60/1.40 inference(forward_demodulation,[],[f2135,f2679])). 6.60/1.40 tff(f2679,plain,( 6.60/1.40 ( ! [X2 : 'N_a_n_vec_fun$',X0 : 'N$',X1 : 'N_a_fun$'] : ('fun_app$a'('vdf$'(X1,X2),X0) = 'fun_app$b'('fun_app$c'('vector_scalar_mult$','fun_app$d'(X1,X0)),'fun_app$a'(X2,X0))) )), 6.60/1.40 inference(cnf_transformation,[],[f1990])). 6.60/1.40 tff(f1990,plain,( 6.60/1.40 ! [X0 : 'N$',X1 : 'N_a_fun$',X2 : 'N_a_n_vec_fun$'] : 'fun_app$a'('vdf$'(X1,X2),X0) = 'fun_app$b'('fun_app$c'('vector_scalar_mult$','fun_app$d'(X1,X0)),'fun_app$a'(X2,X0))), 6.60/1.40 inference(rectify,[],[f1160])). 6.60/1.40 tff(f1160,plain,( 6.60/1.40 ! [X1 : 'N$',X0 : 'N_a_fun$',X2 : 'N_a_n_vec_fun$'] : 'fun_app$b'('fun_app$c'('vector_scalar_mult$','fun_app$d'(X0,X1)),'fun_app$a'(X2,X1)) = 'fun_app$a'('vdf$'(X0,X2),X1)), 6.60/1.40 inference(rectify,[],[f514])). 6.60/1.40 tff(f514,axiom,( 6.60/1.40 ! [X0 : 'N_a_fun$',X2 : 'N$',X1 : 'N_a_n_vec_fun$'] : 'fun_app$a'('vdf$'(X0,X1),X2) = 'fun_app$b'('fun_app$c'('vector_scalar_mult$','fun_app$d'(X0,X2)),'fun_app$a'(X1,X2))), 6.60/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 6.60/1.40 tff(f2135,plain,( 6.60/1.40 ( ! [X2 : 'N$',X0 : 'A_n_vec_n_vec$',X1 : 'N_a_fun$'] : ('fun_app$a'('uvw$'(X0,X1),X2) = 'fun_app$b'('fun_app$c'('vector_scalar_mult$','fun_app$d'(X1,X2)),'fun_app$a'('vec_nth$'(X0),X2))) )), 6.60/1.40 inference(cnf_transformation,[],[f708])). 6.60/1.40 tff(f708,axiom,( 6.60/1.40 ! [X0 : 'A_n_vec_n_vec$',X1 : 'N_a_fun$',X2 : 'N$'] : 'fun_app$a'('uvw$'(X0,X1),X2) = 'fun_app$b'('fun_app$c'('vector_scalar_mult$','fun_app$d'(X1,X2)),'fun_app$a'('vec_nth$'(X0),X2))), 6.60/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 6.60/1.40 tff(f2918,plain,( 6.60/1.40 ( ! [X0 : 'N$',X1 : 'N_a_fun$'] : ('fun_app$a'('uu$'(X1),X0) = 'fun_app$a'('vdf$'(X1,'vec_nth$'('y$')),X0)) )), 6.60/1.40 inference(forward_demodulation,[],[f2430,f2679])). 6.60/1.40 tff(f2430,plain,( 6.60/1.40 ( ! [X0 : 'N$',X1 : 'N_a_fun$'] : ('fun_app$b'('fun_app$c'('vector_scalar_mult$','fun_app$d'(X1,X0)),'fun_app$a'('vec_nth$'('y$'),X0)) = 'fun_app$a'('uu$'(X1),X0)) )), 6.60/1.40 inference(cnf_transformation,[],[f1770])). 6.60/1.40 tff(f1770,plain,( 6.60/1.40 ! [X0 : 'N$',X1 : 'N_a_fun$'] : 'fun_app$b'('fun_app$c'('vector_scalar_mult$','fun_app$d'(X1,X0)),'fun_app$a'('vec_nth$'('y$'),X0)) = 'fun_app$a'('uu$'(X1),X0)), 6.60/1.40 inference(rectify,[],[f269])). 6.60/1.40 tff(f269,axiom,( 6.60/1.40 ! [X1 : 'N$',X0 : 'N_a_fun$'] : 'fun_app$a'('uu$'(X0),X1) = 'fun_app$b'('fun_app$c'('vector_scalar_mult$','fun_app$d'(X0,X1)),'fun_app$a'('vec_nth$'('y$'),X1))), 6.60/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 6.60/1.40 tff(f3020,plain,( 6.60/1.40 ( ! [X0 : 'N$'] : ('fun_app$a'('uub$',X0) = 'fun_app$a'('uvw$'('y$','h$'),X0)) )), 6.60/1.40 inference(backward_demodulation,[],[f2897,f2900])). 6.60/1.40 tff(f2897,plain,( 6.60/1.40 ( ! [X0 : 'N$'] : ('fun_app$a'('uub$',X0) = 'fun_app$a'('vdf$'('h$','vec_nth$'('y$')),X0)) )), 6.60/1.40 inference(forward_demodulation,[],[f2306,f2679])). 6.60/1.40 tff(f2306,plain,( 6.60/1.40 ( ! [X0 : 'N$'] : ('fun_app$a'('uub$',X0) = 'fun_app$b'('fun_app$c'('vector_scalar_mult$','fun_app$d'('h$',X0)),'fun_app$a'('vec_nth$'('y$'),X0))) )), 6.60/1.40 inference(cnf_transformation,[],[f739])). 6.60/1.40 tff(f739,axiom,( 6.60/1.40 ! [X0 : 'N$'] : 'fun_app$a'('uub$',X0) = 'fun_app$b'('fun_app$c'('vector_scalar_mult$','fun_app$d'('h$',X0)),'fun_app$a'('vec_nth$'('y$'),X0))), 6.60/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 6.60/1.40 tff(f4773,plain,( 6.60/1.40 'row$'('x$a','x$') != 'sum$'('uu$'('h$'),'top$')), 6.60/1.40 inference(forward_demodulation,[],[f4765,f3854])). 6.60/1.40 tff(f3854,plain,( 6.60/1.40 ( ! [X0 : 'N_a_fun$'] : ('uu$'(X0) = 'uvw$'('y$',X0)) )), 6.60/1.40 inference(forward_demodulation,[],[f3853,f2976])). 6.60/1.40 tff(f3853,plain,( 6.60/1.40 ( ! [X0 : 'N_a_fun$'] : ('uvw$'('y$',X0) = 'vec_nth$'(sK16('uu$'(X0)))) )), 6.60/1.40 inference(superposition,[],[f2976,f3770])). 6.60/1.40 tff(f3770,plain,( 6.60/1.40 ( ! [X0 : 'N_a_fun$'] : (sK16('uvw$'('y$',X0)) = sK16('uu$'(X0))) )), 6.60/1.40 inference(unit_resulting_resolution,[],[f3208,f3153])). 6.60/1.40 tff(f3208,plain,( 6.60/1.40 ( ! [X0 : 'N$',X1 : 'N_a_fun$'] : ('row$'(X0,sK16('uvw$'('y$',X1))) = 'row$'(X0,sK16('uu$'(X1)))) )), 6.60/1.40 inference(forward_demodulation,[],[f3190,f3161])). 6.60/1.40 tff(f3190,plain,( 6.60/1.40 ( ! [X0 : 'N$',X1 : 'N_a_fun$'] : ('row$'(X0,sK16('uvw$'('y$',X1))) = 'row$'(X0,'vec_lambda$a'('uu$'(X1)))) )), 6.60/1.40 inference(backward_demodulation,[],[f3145,f3161])). 6.60/1.40 tff(f3145,plain,( 6.60/1.40 ( ! [X0 : 'N$',X1 : 'N_a_fun$'] : ('row$'(X0,'vec_lambda$a'('uvw$'('y$',X1))) = 'row$'(X0,'vec_lambda$a'('uu$'(X1)))) )), 6.60/1.40 inference(forward_demodulation,[],[f3109,f3040])). 6.60/1.40 tff(f3109,plain,( 6.60/1.40 ( ! [X0 : 'N$',X1 : 'N_a_fun$'] : ('row$'(X0,'vec_lambda$a'('uvw$'('y$',X1))) = 'fun_app$a'('uu$'(X1),X0)) )), 6.60/1.40 inference(backward_demodulation,[],[f3022,f3040])). 6.60/1.40 tff(f4765,plain,( 6.60/1.40 'sum$'('uvw$'('y$','h$'),'top$') != 'row$'('x$a','x$')), 6.60/1.40 inference(forward_demodulation,[],[f4748,f4314])). 6.60/1.40 tff(f4314,plain,( 6.60/1.40 'row$'('x$a','x$') = 'sum$'('uu$'(sK168('uua$','h$')),'top$')), 6.60/1.40 inference(resolution,[],[f3829,f3125])). 6.60/1.40 tff(f3125,plain,( 6.60/1.40 ( ! [X0 : 'N_a_fun$'] : (~'fun_app$'('uua$',X0) | 'sum$'('uu$'(X0),'top$') = 'row$'('x$a','x$')) )), 6.60/1.40 inference(forward_demodulation,[],[f3066,f3046])). 6.60/1.40 tff(f3066,plain,( 6.60/1.40 ( ! [X0 : 'N_a_fun$'] : ('sum$'('uu$'(X0),'top$') = 'sum$'('uub$','top$') | ~'fun_app$'('uua$',X0)) )), 6.60/1.40 inference(backward_demodulation,[],[f2899,f3010])). 6.60/1.40 tff(f3010,plain,( 6.60/1.40 'sum$'('uub$','top$') = 'sum$'('uu$'(sK167),'top$')), 6.60/1.40 inference(backward_demodulation,[],[f2638,f2429])). 6.60/1.40 tff(f2638,plain,( 6.60/1.40 'fun_app$a'('vec_nth$'('x$'),'x$a') = 'sum$'('uu$'(sK167),'top$')), 6.60/1.40 inference(cnf_transformation,[],[f1955])). 6.60/1.40 tff(f1955,plain,( 6.60/1.40 'fun_app$a'('vec_nth$'('x$'),'x$a') = 'sum$'('uu$'(sK167),'top$')), 6.60/1.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK167])],[f1298,f1954])). 6.60/1.40 tff(f1954,plain,( 6.60/1.40 ? [X0 : 'N_a_fun$'] : 'sum$'('uu$'(X0),'top$') = 'fun_app$a'('vec_nth$'('x$'),'x$a') => 'fun_app$a'('vec_nth$'('x$'),'x$a') = 'sum$'('uu$'(sK167),'top$')), 6.60/1.40 introduced(definition,[],[choice_axiom])). 6.60/1.40 tff(f1298,plain,( 6.60/1.40 ? [X0 : 'N_a_fun$'] : 'sum$'('uu$'(X0),'top$') = 'fun_app$a'('vec_nth$'('x$'),'x$a')), 6.60/1.40 inference(ennf_transformation,[],[f1146])). 6.60/1.40 tff(f1146,plain,( 6.60/1.40 ~! [X0 : 'N_a_fun$'] : 'sum$'('uu$'(X0),'top$') != 'fun_app$a'('vec_nth$'('x$'),'x$a')), 6.60/1.40 inference(flattening,[],[f1145])). 6.60/1.40 tff(f1145,plain,( 6.60/1.40 ~! [X0 : 'N_a_fun$'] : ~'sum$'('uu$'(X0),'top$') = 'fun_app$a'('vec_nth$'('x$'),'x$a')), 6.60/1.40 inference(true_and_false_elimination,[],[f609])). 6.60/1.40 tff(f609,axiom,( 6.60/1.40 ! [X0 : 'N_a_fun$'] : ('sum$'('uu$'(X0),'top$') = 'fun_app$a'('vec_nth$'('x$'),'x$a') => $false) => $false), 6.60/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 6.60/1.40 tff(f2899,plain,( 6.60/1.40 ( ! [X0 : 'N_a_fun$'] : (~'fun_app$'('uua$',X0) | 'sum$'('uu$'(X0),'top$') = 'sum$'('uu$'(sK167),'top$')) )), 6.60/1.40 inference(forward_demodulation,[],[f2253,f2638])). 6.60/1.40 tff(f2253,plain,( 6.60/1.40 ( ! [X0 : 'N_a_fun$'] : (~'fun_app$'('uua$',X0) | 'sum$'('uu$'(X0),'top$') = 'fun_app$a'('vec_nth$'('x$'),'x$a')) )), 6.60/1.40 inference(cnf_transformation,[],[f1625])). 6.60/1.40 tff(f1625,plain,( 6.60/1.40 ! [X0 : 'N_a_fun$'] : (('sum$'('uu$'(X0),'top$') = 'fun_app$a'('vec_nth$'('x$'),'x$a') | ~'fun_app$'('uua$',X0)) & ('fun_app$'('uua$',X0) | 'sum$'('uu$'(X0),'top$') != 'fun_app$a'('vec_nth$'('x$'),'x$a')))), 6.60/1.40 inference(nnf_transformation,[],[f461])). 6.60/1.40 tff(f461,axiom,( 6.60/1.40 ! [X0 : 'N_a_fun$'] : ('sum$'('uu$'(X0),'top$') = 'fun_app$a'('vec_nth$'('x$'),'x$a') <=> 'fun_app$'('uua$',X0))), 6.60/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 6.60/1.40 tff(f3829,plain,( 6.60/1.40 'fun_app$'('uua$',sK168('uua$','h$'))), 6.60/1.40 inference(unit_resulting_resolution,[],[f2478,f3824,f2644])). 6.60/1.40 tff(f2644,plain,( 6.60/1.40 ( ! [X0 : 'N_a_fun_bool_fun$',X1 : 'N_a_fun$'] : ('fun_app$'(X0,sK168(X0,X1)) | 'the$'(X0) = X1 | ~'fun_app$'(X0,X1)) )), 6.60/1.40 inference(cnf_transformation,[],[f1961])). 6.60/1.40 tff(f1961,plain,( 6.60/1.40 ! [X0 : 'N_a_fun_bool_fun$',X1 : 'N_a_fun$'] : ((sK168(X0,X1) != X1 & 'fun_app$'(X0,sK168(X0,X1))) | 'the$'(X0) = X1 | ~'fun_app$'(X0,X1))), 6.60/1.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK168])],[f1959,f1960])). 6.60/1.40 tff(f1960,plain,( 6.60/1.40 ! [X0 : 'N_a_fun_bool_fun$',X1 : 'N_a_fun$'] : (? [X2 : 'N_a_fun$'] : (X1 != X2 & 'fun_app$'(X0,X2)) => (sK168(X0,X1) != X1 & 'fun_app$'(X0,sK168(X0,X1))))), 6.60/1.40 introduced(definition,[],[choice_axiom])). 6.60/1.40 tff(f1959,plain,( 6.60/1.40 ! [X0 : 'N_a_fun_bool_fun$',X1 : 'N_a_fun$'] : (? [X2 : 'N_a_fun$'] : (X1 != X2 & 'fun_app$'(X0,X2)) | 'the$'(X0) = X1 | ~'fun_app$'(X0,X1))), 6.60/1.40 inference(rectify,[],[f1328])). 6.60/1.40 tff(f1328,plain,( 6.60/1.40 ! [X1 : 'N_a_fun_bool_fun$',X0 : 'N_a_fun$'] : (? [X2 : 'N_a_fun$'] : (X0 != X2 & 'fun_app$'(X1,X2)) | 'the$'(X1) = X0 | ~'fun_app$'(X1,X0))), 6.60/1.40 inference(flattening,[],[f1327])). 6.60/1.40 tff(f1327,plain,( 6.60/1.40 ! [X1 : 'N_a_fun_bool_fun$',X0 : 'N_a_fun$'] : ('the$'(X1) = X0 | (~'fun_app$'(X1,X0) | ? [X2 : 'N_a_fun$'] : (X0 != X2 & 'fun_app$'(X1,X2))))), 6.60/1.40 inference(ennf_transformation,[],[f1099])). 6.60/1.40 tff(f1099,plain,( 6.60/1.40 ! [X1 : 'N_a_fun_bool_fun$',X0 : 'N_a_fun$'] : (('fun_app$'(X1,X0) & ! [X2 : 'N_a_fun$'] : ('fun_app$'(X1,X2) => X0 = X2)) => 'the$'(X1) = X0)), 6.60/1.40 inference(rectify,[],[f315])). 6.60/1.40 tff(f315,axiom,( 6.60/1.40 ! [X1 : 'N_a_fun$',X0 : 'N_a_fun_bool_fun$'] : (('fun_app$'(X0,X1) & ! [X2 : 'N_a_fun$'] : ('fun_app$'(X0,X2) => X1 = X2)) => 'the$'(X0) = X1)), 6.60/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 6.60/1.40 tff(f3824,plain,( 6.60/1.40 'fun_app$'('uua$','h$')), 6.60/1.40 inference(subsumption_resolution,[],[f3823,f3046])). 6.60/1.40 tff(f3823,plain,( 6.60/1.40 'sum$'('uub$','top$') != 'row$'('x$a','x$') | 'fun_app$'('uua$','h$')), 6.60/1.40 inference(superposition,[],[f3126,f3801])). 6.60/1.40 tff(f3126,plain,( 6.60/1.40 ( ! [X0 : 'N_a_fun$'] : ('sum$'('uu$'(X0),'top$') != 'row$'('x$a','x$') | 'fun_app$'('uua$',X0)) )), 6.60/1.40 inference(forward_demodulation,[],[f3065,f3046])). 6.60/1.40 tff(f3065,plain,( 6.60/1.40 ( ! [X0 : 'N_a_fun$'] : ('sum$'('uu$'(X0),'top$') != 'sum$'('uub$','top$') | 'fun_app$'('uua$',X0)) )), 6.60/1.40 inference(backward_demodulation,[],[f2993,f3010])). 6.60/1.40 tff(f2993,plain,( 6.60/1.40 ( ! [X0 : 'N_a_fun$'] : ('fun_app$'('uua$',X0) | 'sum$'('uu$'(X0),'top$') != 'sum$'('uu$'(sK167),'top$')) )), 6.60/1.40 inference(forward_demodulation,[],[f2252,f2638])). 6.60/1.40 tff(f2252,plain,( 6.60/1.40 ( ! [X0 : 'N_a_fun$'] : ('fun_app$'('uua$',X0) | 'sum$'('uu$'(X0),'top$') != 'fun_app$a'('vec_nth$'('x$'),'x$a')) )), 6.60/1.40 inference(cnf_transformation,[],[f1625])). 6.60/1.40 tff(f2478,plain,( 6.60/1.40 'the$'('uua$') != 'h$'), 6.60/1.40 inference(cnf_transformation,[],[f957])). 6.60/1.40 tff(f957,plain,( 6.60/1.40 'the$'('uua$') != 'h$'), 6.60/1.40 inference(flattening,[],[f494])). 6.60/1.40 tff(f494,negated_conjecture,( 6.60/1.40 ~'the$'('uua$') = 'h$'), 6.60/1.40 inference(negated_conjecture,[status(cth)],[f493])). 6.60/1.40 tff(f493,conjecture,( 6.60/1.40 'the$'('uua$') = 'h$'), 6.60/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 6.60/1.40 tff(f4748,plain,( 6.60/1.40 'sum$'('uvw$'('y$','h$'),'top$') != 'sum$'('uu$'(sK168('uua$','h$')),'top$')), 6.60/1.40 inference(forward_demodulation,[],[f4715,f3854])). 6.60/1.40 tff(f4715,plain,( 6.60/1.40 'sum$'('uvw$'('y$','h$'),'top$') != 'sum$'('uvw$'('y$',sK168('uua$','h$')),'top$')), 6.60/1.40 inference(unit_resulting_resolution,[],[f3828,f2308,f2234])). 6.60/1.40 tff(f2234,plain,( 6.60/1.40 ( ! [X2 : 'N_a_fun$',X0 : 'N_a_fun$',X1 : 'A_n_vec_n_vec$'] : ('sum$'('uvw$'(X1,X0),'top$') != 'sum$'('uvw$'(X1,X2),'top$') | X0 = X2 | ~'is_basis$'('set_of_vector$'(X1))) )), 6.60/1.40 inference(cnf_transformation,[],[f1610])). 6.60/1.40 tff(f1610,plain,( 6.60/1.40 ! [X0 : 'N_a_fun$',X1 : 'A_n_vec_n_vec$',X2 : 'N_a_fun$'] : (~'is_basis$'('set_of_vector$'(X1)) | 'sum$'('uvw$'(X1,X0),'top$') != 'sum$'('uvw$'(X1,X2),'top$') | X0 = X2)), 6.60/1.40 inference(rectify,[],[f1230])). 6.60/1.40 tff(f1230,plain,( 6.60/1.40 ! [X1 : 'N_a_fun$',X2 : 'A_n_vec_n_vec$',X0 : 'N_a_fun$'] : (~'is_basis$'('set_of_vector$'(X2)) | 'sum$'('uvw$'(X2,X0),'top$') != 'sum$'('uvw$'(X2,X1),'top$') | X0 = X1)), 6.60/1.40 inference(flattening,[],[f1229])). 6.60/1.40 tff(f1229,plain,( 6.60/1.40 ! [X1 : 'N_a_fun$',X2 : 'A_n_vec_n_vec$',X0 : 'N_a_fun$'] : (X0 = X1 | ('sum$'('uvw$'(X2,X0),'top$') != 'sum$'('uvw$'(X2,X1),'top$') | ~'is_basis$'('set_of_vector$'(X2))))), 6.60/1.40 inference(ennf_transformation,[],[f1155])). 6.60/1.40 tff(f1155,plain,( 6.60/1.40 ! [X1 : 'N_a_fun$',X2 : 'A_n_vec_n_vec$',X0 : 'N_a_fun$'] : (('sum$'('uvw$'(X2,X0),'top$') = 'sum$'('uvw$'(X2,X1),'top$') & 'is_basis$'('set_of_vector$'(X2))) => X0 = X1)), 6.60/1.40 inference(rectify,[],[f792])). 6.60/1.40 tff(f792,axiom,( 6.60/1.40 ! [X2 : 'N_a_fun$',X1 : 'N_a_fun$',X0 : 'A_n_vec_n_vec$'] : (('sum$'('uvw$'(X0,X1),'top$') = 'sum$'('uvw$'(X0,X2),'top$') & 'is_basis$'('set_of_vector$'(X0))) => X1 = X2)), 6.60/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 6.60/1.40 tff(f2308,plain,( 6.60/1.40 'is_basis$'('set_of_vector$'('y$'))), 6.60/1.40 inference(cnf_transformation,[],[f416])). 6.60/1.40 tff(f416,axiom,( 6.60/1.40 'is_basis$'('set_of_vector$'('y$'))), 6.60/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 6.60/1.40 tff(f3828,plain,( 6.60/1.40 'h$' != sK168('uua$','h$')), 6.60/1.40 inference(unit_resulting_resolution,[],[f2478,f3824,f2645])). 6.60/1.40 tff(f2645,plain,( 6.60/1.40 ( ! [X0 : 'N_a_fun_bool_fun$',X1 : 'N_a_fun$'] : (sK168(X0,X1) != X1 | 'the$'(X0) = X1 | ~'fun_app$'(X0,X1)) )), 6.60/1.40 inference(cnf_transformation,[],[f1961])). 6.60/1.40 % SZS output end Proof for theBenchmark 6.60/1.40 % (3980)------------------------------ 6.60/1.40 % (3980)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.60/1.40 % (3980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.60/1.40 % (3980)Termination reason: Refutation 6.60/1.40 6.60/1.40 % (3980)Time elapsed: 0.107 s 6.60/1.40 % (3980)Peak memory usage: 13 MB 6.60/1.40 % (3980)Instructions burned: 328 (million) 6.60/1.40 % (3980)------------------------------ 6.60/1.40 % (3980)------------------------------ 6.60/1.40 % (3851)Success in time 1.033 s 6.60/1.40 EOF