%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP234^2 : TPTP v9.3.1. Bugfixed v9.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:09:12 AM UTC 2026
% Result : Theorem 16.09s 6.41s
% Output : Refutation 16.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP234^2 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.16 % Computer : n014.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Tue Sep 29 20:25:15 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 Running higher-order theorem proving
% 3.57/3.63 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.82/4.52 % (3168739)Detected a higher-order problem, will run a greedy HOL sequence.
% 4.82/4.52 % (3168746)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=922287285:i=3:rtra=on:inj=on:ntd=on_2993 on theBenchmark for (2993ds/3Mi)
% 4.82/4.52 % (3168746)Instruction limit reached!
% 4.82/4.52 % (3168746)------------------------------
% 4.82/4.52 % (3168746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.82/4.52 % (3168746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.82/4.52 % (3168746)CaDiCaL version: 2.1.3
% 4.82/4.52 % (3168746)Termination reason: Instruction limit
% 4.82/4.52 % (3168746)Termination phase: shuffling
% 4.82/4.52 % (3168746)Time elapsed: 0.004 s
% 4.82/4.52 % (3168746)Peak memory usage: 23 MB
% 4.82/4.52 % (3168746)Instructions burned: 3 (million)
% 4.82/4.52 % (3168744)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2339797:s2a=on:i=87:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/87Mi)
% 4.82/4.52 % (3168745)lrs+10_16_si=on:nwc=1.5:random_seed=32317550:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2993 on theBenchmark for (2993ds/18Mi)
% 4.82/4.52 % (3168752)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3300217540:i=2:hud=10:rtra=on_2992 on theBenchmark for (2992ds/2Mi)
% 4.82/4.52 % (3168747)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=3772894707:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2993 on theBenchmark for (2993ds/634Mi)
% 4.82/4.52 % (3168752)Instruction limit reached!
% 4.82/4.52 % (3168752)------------------------------
% 4.82/4.52 % (3168752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.82/4.52 % (3168752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.82/4.52 % (3168752)CaDiCaL version: 2.1.3
% 4.82/4.52 % (3168752)Termination reason: Instruction limit
% 4.82/4.52 % (3168752)Termination phase: shuffling
% 4.82/4.52 % (3168752)Time elapsed: 0.003 s
% 4.82/4.52 % (3168752)Peak memory usage: 24 MB
% 4.82/4.52 % (3168752)Instructions burned: 2 (million)
% 4.82/4.52 % (3168745)Instruction limit reached!
% 4.82/4.52 % (3168745)------------------------------
% 4.82/4.52 % (3168745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.82/4.52 % (3168745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.82/4.52 % (3168745)CaDiCaL version: 2.1.3
% 4.82/4.52 % (3168745)Termination reason: Instruction limit
% 4.82/4.52 % (3168745)Termination phase: shuffling
% 4.82/4.52 % (3168745)Time elapsed: 0.022 s
% 4.82/4.52 % (3168745)Peak memory usage: 25 MB
% 4.82/4.52 % (3168745)Instructions burned: 20 (million)
% 4.82/4.52 % (3168757)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4169834329:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2992 on theBenchmark for (2992ds/5Mi)
% 4.82/4.52 % (3168757)Instruction limit reached!
% 4.82/4.52 % (3168757)------------------------------
% 4.82/4.52 % (3168757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.82/4.52 % (3168757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.82/4.52 % (3168757)CaDiCaL version: 2.1.3
% 4.82/4.52 % (3168757)Termination reason: Instruction limit
% 4.82/4.52 % (3168757)Termination phase: shuffling
% 4.82/4.52 % (3168757)Time elapsed: 0.006 s
% 4.82/4.52 % (3168757)Peak memory usage: 24 MB
% 4.82/4.52 % (3168757)Instructions burned: 5 (million)
% 4.82/4.52 % (3168750)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 4.82/4.52 % (3168750)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 4.82/4.52 % (3168748)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1804053306:i=24:av=off:rtra=on_2993 on theBenchmark for (2993ds/24Mi)
% 4.82/4.52 % (3168749)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1647124062:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/75Mi)
% 4.82/4.52 % (3168759)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 4.82/4.52 % (3168750)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3450546824:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2993 on theBenchmark for (2993ds/157Mi)
% 4.82/4.58 % (3168760)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=613742562:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2992 on theBenchmark for (2992ds/12Mi)
% 4.82/4.58 % (3168759)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2375026253:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2992 on theBenchmark for (2992ds/7Mi)
% 4.82/4.58 % (3168760)Instruction limit reached!
% 4.82/4.58 % (3168760)------------------------------
% 4.82/4.58 % (3168760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.82/4.58 % (3168760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.82/4.58 % (3168760)CaDiCaL version: 2.1.3
% 4.82/4.58 % (3168760)Termination reason: Instruction limit
% 4.82/4.58 % (3168760)Termination phase: shuffling
% 4.82/4.58 % (3168760)Time elapsed: 0.011 s
% 4.82/4.58 % (3168760)Peak memory usage: 25 MB
% 4.82/4.58 % (3168760)Instructions burned: 15 (million)
% 4.82/4.58 % (3168759)Instruction limit reached!
% 4.82/4.58 % (3168759)------------------------------
% 4.82/4.58 % (3168759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.82/4.58 % (3168759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.82/4.58 % (3168759)CaDiCaL version: 2.1.3
% 4.82/4.58 % (3168759)Termination reason: Instruction limit
% 4.82/4.58 % (3168759)Termination phase: shuffling
% 4.82/4.58 % (3168759)Time elapsed: 0.011 s
% 4.82/4.58 % (3168759)Peak memory usage: 23 MB
% 4.82/4.58 % (3168759)Instructions burned: 7 (million)
% 4.82/4.58 % (3168744)Instruction limit reached!
% 4.82/4.58 % (3168744)------------------------------
% 4.82/4.58 % (3168744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.82/4.58 % (3168744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.82/4.58 % (3168744)CaDiCaL version: 2.1.3
% 4.82/4.58 % (3168744)Termination reason: Instruction limit
% 4.82/4.58 % (3168744)Termination phase: shuffling
% 4.82/4.58 % (3168744)Time elapsed: 0.058 s
% 4.82/4.58 % (3168744)Peak memory usage: 27 MB
% 4.82/4.58 % (3168744)Instructions burned: 89 (million)
% 4.82/4.58 % (3168767)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=4135727366:i=86:piset=equals:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/86Mi)
% 4.82/4.58 % (3168748)Instruction limit reached!
% 4.82/4.58 % (3168748)------------------------------
% 4.82/4.58 % (3168748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.82/4.58 % (3168748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.82/4.58 % (3168748)CaDiCaL version: 2.1.3
% 4.82/4.58 % (3168748)Termination reason: Instruction limit
% 4.82/4.58 % (3168748)Termination phase: shuffling
% 4.82/4.58 % (3168748)Time elapsed: 0.036 s
% 4.82/4.58 % (3168748)Peak memory usage: 25 MB
% 4.82/4.58 % (3168748)Instructions burned: 24 (million)
% 4.82/4.58 % (3168766)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 4.82/4.58 % (3168766)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 4.82/4.58 % (3168766)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=52438540:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2992 on theBenchmark for (2992ds/28Mi)
% 4.82/4.58 % (3168768)lrs+10_1_si=on:cs=on:random_seed=2790373381:i=8:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/8Mi)
% 4.82/4.58 % (3168770)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 4.82/4.58 % (3168749)Instruction limit reached!
% 4.82/4.58 % (3168749)------------------------------
% 4.82/4.58 % (3168749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.82/4.58 % (3168749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.82/4.58 % (3168749)CaDiCaL version: 2.1.3
% 4.82/4.58 % (3168749)Termination reason: Instruction limit
% 4.82/4.58 % (3168749)Termination phase: shuffling
% 4.82/4.58 % (3168749)Time elapsed: 0.056 s
% 5.38/4.63 % (3168749)Peak memory usage: 26 MB
% 5.38/4.63 % (3168749)Instructions burned: 75 (million)
% 5.38/4.63 % (3168770)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=2864828872:i=2:add=on:rtra=on_2992 on theBenchmark for (2992ds/2Mi)
% 5.38/4.63 % (3168767)Instruction limit reached!
% 5.38/4.63 % (3168767)------------------------------
% 5.38/4.63 % (3168767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.38/4.63 % (3168767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/4.63 % (3168767)CaDiCaL version: 2.1.3
% 5.38/4.63 % (3168767)Termination reason: Instruction limit
% 5.38/4.63 % (3168767)Termination phase: shuffling
% 5.38/4.63 % (3168767)Time elapsed: 0.032 s
% 5.38/4.63 % (3168767)Peak memory usage: 27 MB
% 5.38/4.63 % (3168767)Instructions burned: 89 (million)
% 5.38/4.63 % (3168770)Instruction limit reached!
% 5.38/4.63 % (3168770)------------------------------
% 5.38/4.63 % (3168770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.38/4.63 % (3168770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/4.64 % (3168770)CaDiCaL version: 2.1.3
% 5.38/4.64 % (3168770)Termination reason: Instruction limit
% 5.38/4.64 % (3168770)Termination phase: shuffling
% 5.38/4.64 % (3168770)Time elapsed: 0.008 s
% 5.38/4.64 % (3168770)Peak memory usage: 24 MB
% 5.38/4.64 % (3168770)Instructions burned: 2 (million)
% 5.38/4.64 % (3168768)Instruction limit reached!
% 5.38/4.64 % (3168768)------------------------------
% 5.38/4.64 % (3168768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.38/4.64 % (3168768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/4.64 % (3168768)CaDiCaL version: 2.1.3
% 5.38/4.64 % (3168768)Termination reason: Instruction limit
% 5.38/4.64 % (3168768)Termination phase: shuffling
% 5.38/4.64 % (3168768)Time elapsed: 0.013 s
% 5.38/4.64 % (3168768)Peak memory usage: 24 MB
% 5.38/4.64 % (3168768)Instructions burned: 8 (million)
% 5.38/4.64 % (3168775)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1517873070:st=2:i=249:sd=1:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/249Mi)
% 5.38/4.64 % (3168766)Instruction limit reached!
% 5.38/4.64 % (3168766)------------------------------
% 5.38/4.64 % (3168766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.38/4.64 % (3168766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/4.64 % (3168766)CaDiCaL version: 2.1.3
% 5.38/4.64 % (3168766)Termination reason: Instruction limit
% 5.38/4.64 % (3168766)Termination phase: shuffling
% 5.38/4.64 % (3168766)Time elapsed: 0.027 s
% 5.38/4.64 % (3168766)Peak memory usage: 25 MB
% 5.38/4.64 % (3168766)Instructions burned: 29 (million)
% 5.38/4.64 % (3168776)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=239191574:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2991 on theBenchmark for (2991ds/25Mi)
% 5.38/4.64 % (3168774)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1317509431:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2991 on theBenchmark for (2991ds/38Mi)
% 5.38/4.64 % (3168779)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1445933179:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/327Mi)
% 5.38/4.64 % (3168777)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=4186621742:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2991 on theBenchmark for (2991ds/14Mi)
% 5.38/4.64 % (3168776)Instruction limit reached!
% 5.38/4.64 % (3168776)------------------------------
% 5.38/4.64 % (3168776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.38/4.64 % (3168776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/4.64 % (3168776)CaDiCaL version: 2.1.3
% 5.38/4.64 % (3168776)Termination reason: Instruction limit
% 5.38/4.64 % (3168776)Termination phase: shuffling
% 5.38/4.64 % (3168776)Time elapsed: 0.026 s
% 5.38/4.64 % (3168776)Peak memory usage: 25 MB
% 5.38/4.64 % (3168776)Instructions burned: 26 (million)
% 5.38/4.64 % (3168774)Instruction limit reached!
% 5.38/4.64 % (3168774)------------------------------
% 5.38/4.64 % (3168774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.38/4.64 % (3168774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/4.64 % (3168774)CaDiCaL version: 2.1.3
% 5.92/4.72 % (3168774)Termination reason: Instruction limit
% 5.92/4.72 % (3168774)Termination phase: shuffling
% 5.92/4.72 % (3168774)Time elapsed: 0.031 s
% 5.92/4.72 % (3168774)Peak memory usage: 26 MB
% 5.92/4.72 % (3168774)Instructions burned: 38 (million)
% 5.92/4.72 % (3168777)Instruction limit reached!
% 5.92/4.72 % (3168777)------------------------------
% 5.92/4.72 % (3168777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.92/4.72 % (3168777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/4.72 % (3168777)CaDiCaL version: 2.1.3
% 5.92/4.72 % (3168777)Termination reason: Instruction limit
% 5.92/4.72 % (3168777)Termination phase: shuffling
% 5.92/4.72 % (3168777)Time elapsed: 0.028 s
% 5.92/4.72 % (3168777)Peak memory usage: 25 MB
% 5.92/4.72 % (3168777)Instructions burned: 14 (million)
% 5.92/4.72 % (3168784)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1363680554:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2991 on theBenchmark for (2991ds/14Mi)
% 5.92/4.72 % (3168750)Instruction limit reached!
% 5.92/4.72 % (3168750)------------------------------
% 5.92/4.72 % (3168750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.92/4.72 % (3168775)Instruction limit reached!
% 5.92/4.72 % (3168775)------------------------------
% 5.92/4.72 % (3168775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.92/4.72 % (3168750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/4.72 % (3168775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/4.72 % (3168750)CaDiCaL version: 2.1.3
% 5.92/4.72 % (3168775)CaDiCaL version: 2.1.3
% 5.92/4.72 % (3168750)Termination reason: Instruction limit
% 5.92/4.72 % (3168750)Termination phase: shuffling
% 5.92/4.72 % (3168750)Time elapsed: 0.150 s
% 5.92/4.72 % (3168775)Termination reason: Instruction limit
% 5.92/4.72 % (3168775)Termination phase: shuffling
% 5.92/4.72 % (3168775)Time elapsed: 0.077 s
% 5.92/4.72 % (3168750)Peak memory usage: 28 MB
% 5.92/4.72 % (3168775)Peak memory usage: 30 MB
% 5.92/4.72 % (3168750)Instructions burned: 157 (million)
% 5.92/4.72 % (3168775)Instructions burned: 253 (million)
% 5.92/4.72 % (3168785)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2376714279:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2991 on theBenchmark for (2991ds/2Mi)
% 5.92/4.72 % (3168784)Instruction limit reached!
% 5.92/4.72 % (3168784)------------------------------
% 5.92/4.72 % (3168784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.92/4.72 % (3168784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/4.72 % (3168784)CaDiCaL version: 2.1.3
% 5.92/4.72 % (3168784)Termination reason: Instruction limit
% 5.92/4.72 % (3168784)Termination phase: shuffling
% 5.92/4.72 % (3168784)Time elapsed: 0.021 s
% 5.92/4.72 % (3168784)Peak memory usage: 25 MB
% 5.92/4.72 % (3168784)Instructions burned: 16 (million)
% 5.92/4.72 % (3168785)Instruction limit reached!
% 5.92/4.72 % (3168785)------------------------------
% 5.92/4.72 % (3168785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.92/4.72 % (3168785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/4.72 % (3168785)CaDiCaL version: 2.1.3
% 5.92/4.72 % (3168785)Termination reason: Instruction limit
% 5.92/4.72 % (3168785)Termination phase: shuffling
% 5.92/4.72 % (3168785)Time elapsed: 0.008 s
% 5.92/4.72 % (3168785)Peak memory usage: 24 MB
% 5.92/4.72 % (3168785)Instructions burned: 2 (million)
% 5.92/4.72 % (3168788)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3421257089:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2990 on theBenchmark for (2990ds/23Mi)
% 5.92/4.72 % (3168791)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.92/4.72 % (3168791)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 5.92/4.72 % (3168791)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=3618455270:i=14:add=off:nm=40:rtra=on:rawr=on_2990 on theBenchmark for (2990ds/14Mi)
% 5.92/4.72 % (3168788)Instruction limit reached!
% 5.92/4.72 % (3168788)------------------------------
% 5.92/4.72 % (3168788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/4.85 % (3168788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/4.85 % (3168788)CaDiCaL version: 2.1.3
% 6.14/4.85 % (3168788)Termination reason: Instruction limit
% 6.14/4.85 % (3168788)Termination phase: shuffling
% 6.14/4.85 % (3168788)Time elapsed: 0.015 s
% 6.14/4.85 % (3168788)Peak memory usage: 25 MB
% 6.14/4.85 % (3168788)Instructions burned: 26 (million)
% 6.14/4.85 % (3168787)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3850532505:i=26:ep=R:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/26Mi)
% 6.14/4.85 % (3168790)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=71308206:cond=on:i=60:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/60Mi)
% 6.14/4.85 % (3168795)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=3843370807:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2990 on theBenchmark for (2990ds/31Mi)
% 6.14/4.85 % (3168791)Instruction limit reached!
% 6.14/4.85 % (3168791)------------------------------
% 6.14/4.85 % (3168791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/4.85 % (3168791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/4.85 % (3168791)CaDiCaL version: 2.1.3
% 6.14/4.85 % (3168791)Termination reason: Instruction limit
% 6.14/4.85 % (3168791)Termination phase: shuffling
% 6.14/4.85 % (3168791)Time elapsed: 0.019 s
% 6.14/4.85 % (3168791)Peak memory usage: 25 MB
% 6.14/4.85 % (3168791)Instructions burned: 14 (million)
% 6.14/4.85 % (3168793)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 6.14/4.85 % (3168795)Instruction limit reached!
% 6.14/4.85 % (3168795)------------------------------
% 6.14/4.85 % (3168795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/4.85 % (3168795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/4.85 % (3168795)CaDiCaL version: 2.1.3
% 6.14/4.85 % (3168795)Termination reason: Instruction limit
% 6.14/4.85 % (3168795)Termination phase: shuffling
% 6.14/4.85 % (3168795)Time elapsed: 0.017 s
% 6.14/4.85 % (3168795)Peak memory usage: 26 MB
% 6.14/4.85 % (3168795)Instructions burned: 32 (million)
% 6.14/4.85 % (3168793)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=4086265543:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2990 on theBenchmark for (2990ds/8Mi)
% 6.14/4.85 % (3168799)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1568185502:i=7:hud=5:bd=preordered:rtra=on:bet=on_2990 on theBenchmark for (2990ds/7Mi)
% 6.14/4.85 % (3168800)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2315824646:i=23:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/23Mi)
% 6.14/4.85 % (3168799)Instruction limit reached!
% 6.14/4.85 % (3168799)------------------------------
% 6.14/4.85 % (3168799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/4.85 % (3168799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/4.85 % (3168799)CaDiCaL version: 2.1.3
% 6.14/4.85 % (3168799)Termination reason: Instruction limit
% 6.14/4.85 % (3168799)Termination phase: shuffling
% 6.14/4.85 % (3168799)Time elapsed: 0.012 s
% 6.14/4.85 % (3168799)Peak memory usage: 23 MB
% 6.14/4.85 % (3168799)Instructions burned: 7 (million)
% 6.14/4.85 % (3168787)Instruction limit reached!
% 6.14/4.85 % (3168787)------------------------------
% 6.14/4.85 % (3168787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/4.85 % (3168787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/4.85 % (3168787)CaDiCaL version: 2.1.3
% 6.14/4.85 % (3168787)Termination reason: Instruction limit
% 6.14/4.85 % (3168787)Termination phase: shuffling
% 6.14/4.85 % (3168787)Time elapsed: 0.055 s
% 6.14/4.85 % (3168787)Peak memory usage: 26 MB
% 6.14/4.85 % (3168787)Instructions burned: 26 (million)
% 6.14/4.85 % (3168800)Instruction limit reached!
% 6.14/4.85 % (3168800)------------------------------
% 6.14/4.85 % (3168800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/4.85 % (3168800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/4.85 % (3168800)CaDiCaL version: 2.1.3
% 6.14/4.85 % (3168800)Termination reason: Instruction limit
% 6.81/4.95 % (3168800)Termination phase: shuffling
% 6.81/4.95 % (3168800)Time elapsed: 0.015 s
% 6.81/4.95 % (3168800)Peak memory usage: 26 MB
% 6.81/4.95 % (3168800)Instructions burned: 26 (million)
% 6.81/4.95 % (3168793)Instruction limit reached!
% 6.81/4.95 % (3168793)------------------------------
% 6.81/4.95 % (3168793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.81/4.95 % (3168793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/4.95 % (3168793)CaDiCaL version: 2.1.3
% 6.81/4.95 % (3168793)Termination reason: Instruction limit
% 6.81/4.95 % (3168793)Termination phase: shuffling
% 6.81/4.95 % (3168793)Time elapsed: 0.026 s
% 6.81/4.95 % (3168793)Peak memory usage: 24 MB
% 6.81/4.95 % (3168793)Instructions burned: 8 (million)
% 6.81/4.95 % (3168805)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3194604316:i=1240:rtra=on:ixr=off_2990 on theBenchmark for (2990ds/1240Mi)
% 6.81/4.95 % (3168790)Instruction limit reached!
% 6.81/4.95 % (3168790)------------------------------
% 6.81/4.95 % (3168790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.81/4.95 % (3168790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/4.95 % (3168790)CaDiCaL version: 2.1.3
% 6.81/4.95 % (3168790)Termination reason: Instruction limit
% 6.81/4.95 % (3168790)Termination phase: shuffling
% 6.81/4.95 % (3168790)Time elapsed: 0.069 s
% 6.81/4.95 % (3168790)Peak memory usage: 26 MB
% 6.81/4.95 % (3168790)Instructions burned: 61 (million)
% 6.81/4.95 % (3168804)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4030675512:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2990 on theBenchmark for (2990ds/20Mi)
% 6.81/4.95 % (3168779)Instruction limit reached!
% 6.81/4.95 % (3168779)------------------------------
% 6.81/4.95 % (3168779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.81/4.95 % (3168779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/4.95 % (3168779)CaDiCaL version: 2.1.3
% 6.81/4.95 % (3168779)Termination reason: Instruction limit
% 6.81/4.95 % (3168779)Termination phase: shuffling
% 6.81/4.95 % (3168779)Time elapsed: 0.175 s
% 6.81/4.95 % (3168779)Peak memory usage: 31 MB
% 6.81/4.95 % (3168779)Instructions burned: 329 (million)
% 6.81/4.95 % (3168806)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=720575396:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/143Mi)
% 6.81/4.95 % (3168807)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=4047212027:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/193Mi)
% 6.81/4.95 % (3168811)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 6.81/4.95 % (3168809)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1577156392:i=42:hud=10:rtra=on_2989 on theBenchmark for (2989ds/42Mi)
% 6.81/4.95 % (3168811)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3695249115:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2989 on theBenchmark for (2989ds/7Mi)
% 6.81/4.95 % (3168804)Instruction limit reached!
% 6.81/4.95 % (3168804)------------------------------
% 6.81/4.95 % (3168804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.81/4.95 % (3168804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/4.95 % (3168804)CaDiCaL version: 2.1.3
% 6.81/4.95 % (3168804)Termination reason: Instruction limit
% 6.81/4.95 % (3168804)Termination phase: shuffling
% 6.81/4.95 % (3168804)Time elapsed: 0.035 s
% 6.81/4.95 % (3168804)Peak memory usage: 25 MB
% 6.81/4.95 % (3168804)Instructions burned: 21 (million)
% 6.81/4.95 % (3168811)Instruction limit reached!
% 6.81/4.95 % (3168811)------------------------------
% 6.81/4.95 % (3168811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.81/4.95 % (3168811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/4.95 % (3168811)CaDiCaL version: 2.1.3
% 6.81/4.95 % (3168811)Termination reason: Instruction limit
% 6.81/4.95 % (3168811)Termination phase: shuffling
% 6.81/4.95 % (3168811)Time elapsed: 0.012 s
% 6.81/4.95 % (3168811)Peak memory usage: 23 MB
% 6.81/4.95 % (3168811)Instructions burned: 7 (million)
% 6.81/4.95 % (3168816)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1413771720:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/181Mi)
% 8.61/5.05 % (3168817)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=1410315350:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2989 on theBenchmark for (2989ds/169Mi)
% 8.61/5.05 % (3168809)Instruction limit reached!
% 8.61/5.05 % (3168809)------------------------------
% 8.61/5.05 % (3168809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.61/5.05 % (3168809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/5.05 % (3168809)CaDiCaL version: 2.1.3
% 8.61/5.05 % (3168809)Termination reason: Instruction limit
% 8.61/5.05 % (3168809)Termination phase: shuffling
% 8.61/5.05 % (3168809)Time elapsed: 0.051 s
% 8.61/5.05 % (3168809)Peak memory usage: 25 MB
% 8.61/5.05 % (3168809)Instructions burned: 43 (million)
% 8.61/5.05 % (3168820)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 8.61/5.05 % (3168820)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3118531965:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2988 on theBenchmark for (2988ds/6Mi)
% 8.61/5.05 % (3168820)Instruction limit reached!
% 8.61/5.05 % (3168820)------------------------------
% 8.61/5.05 % (3168820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.61/5.05 % (3168820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/5.05 % (3168820)CaDiCaL version: 2.1.3
% 8.61/5.05 % (3168820)Termination reason: Instruction limit
% 8.61/5.05 % (3168820)Termination phase: shuffling
% 8.61/5.05 % (3168820)Time elapsed: 0.011 s
% 8.61/5.05 % (3168820)Peak memory usage: 23 MB
% 8.61/5.05 % (3168820)Instructions burned: 6 (million)
% 8.61/5.05 % (3168822)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2000367787:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2988 on theBenchmark for (2988ds/22Mi)
% 8.61/5.05 % (3168816)Instruction limit reached!
% 8.61/5.05 % (3168816)------------------------------
% 8.61/5.05 % (3168816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.61/5.05 % (3168816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/5.05 % (3168816)CaDiCaL version: 2.1.3
% 8.61/5.05 % (3168816)Termination reason: Instruction limit
% 8.61/5.05 % (3168816)Termination phase: shuffling
% 8.61/5.05 % (3168816)Time elapsed: 0.103 s
% 8.61/5.05 % (3168816)Peak memory usage: 29 MB
% 8.61/5.05 % (3168816)Instructions burned: 182 (million)
% 8.61/5.05 % (3168822)Instruction limit reached!
% 8.61/5.05 % (3168822)------------------------------
% 8.61/5.05 % (3168822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.61/5.05 % (3168822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/5.05 % (3168822)CaDiCaL version: 2.1.3
% 8.61/5.05 % (3168822)Termination reason: Instruction limit
% 8.61/5.05 % (3168822)Termination phase: shuffling
% 8.61/5.05 % (3168822)Time elapsed: 0.023 s
% 8.61/5.05 % (3168822)Peak memory usage: 25 MB
% 8.61/5.05 % (3168822)Instructions burned: 23 (million)
% 8.61/5.05 % (3168806)Instruction limit reached!
% 8.61/5.05 % (3168806)------------------------------
% 8.61/5.05 % (3168806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.61/5.05 % (3168806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/5.05 % (3168806)CaDiCaL version: 2.1.3
% 8.61/5.05 % (3168806)Termination reason: Instruction limit
% 8.61/5.05 % (3168806)Termination phase: shuffling
% 8.61/5.05 % (3168806)Time elapsed: 0.161 s
% 8.61/5.05 % (3168806)Peak memory usage: 28 MB
% 8.61/5.05 % (3168806)Instructions burned: 143 (million)
% 8.61/5.05 % (3168824)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2226286644:i=19:add=on:rtra=on_2988 on theBenchmark for (2988ds/19Mi)
% 8.61/5.05 % (3168825)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=115584278:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/316Mi)
% 8.61/5.05 % (3168807)Instruction limit reached!
% 8.61/5.05 % (3168807)------------------------------
% 8.61/5.05 % (3168807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.61/5.05 % (3168807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/5.19 % (3168807)CaDiCaL version: 2.1.3
% 9.32/5.19 % (3168807)Termination reason: Instruction limit
% 9.32/5.19 % (3168807)Termination phase: shuffling
% 9.32/5.19 % (3168807)Time elapsed: 0.172 s
% 9.32/5.19 % (3168807)Peak memory usage: 29 MB
% 9.32/5.19 % (3168807)Instructions burned: 194 (million)
% 9.32/5.19 % (3168826)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=4000996813:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2987 on theBenchmark for (2987ds/853Mi)
% 9.32/5.19 % (3168824)Instruction limit reached!
% 9.32/5.19 % (3168824)------------------------------
% 9.32/5.19 % (3168824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.32/5.19 % (3168824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/5.19 % (3168824)CaDiCaL version: 2.1.3
% 9.32/5.19 % (3168824)Termination reason: Instruction limit
% 9.32/5.19 % (3168824)Termination phase: shuffling
% 9.32/5.19 % (3168824)Time elapsed: 0.023 s
% 9.32/5.19 % (3168824)Peak memory usage: 25 MB
% 9.32/5.19 % (3168824)Instructions burned: 21 (million)
% 9.32/5.19 % (3168829)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=1429567435:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2987 on theBenchmark for (2987ds/45Mi)
% 9.32/5.19 % (3168817)Instruction limit reached!
% 9.32/5.19 % (3168817)------------------------------
% 9.32/5.19 % (3168817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.32/5.19 % (3168817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/5.19 % (3168817)CaDiCaL version: 2.1.3
% 9.32/5.19 % (3168817)Termination reason: Instruction limit
% 9.32/5.19 % (3168817)Termination phase: shuffling
% 9.32/5.19 % (3168817)Time elapsed: 0.151 s
% 9.32/5.19 % (3168817)Peak memory usage: 28 MB
% 9.32/5.19 % (3168817)Instructions burned: 169 (million)
% 9.32/5.19 % (3168747)Instruction limit reached!
% 9.32/5.19 % (3168747)------------------------------
% 9.32/5.19 % (3168747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.32/5.19 % (3168747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/5.19 % (3168747)CaDiCaL version: 2.1.3
% 9.32/5.19 % (3168747)Termination reason: Instruction limit
% 9.32/5.19 % (3168747)Termination phase: shuffling
% 9.32/5.19 % (3168747)Time elapsed: 0.532 s
% 9.32/5.19 % (3168747)Peak memory usage: 29 MB
% 9.32/5.19 % (3168747)Instructions burned: 635 (million)
% 9.32/5.19 % (3168831)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=264527014:i=480:rtra=on_2987 on theBenchmark for (2987ds/480Mi)
% 9.32/5.19 % (3168829)Instruction limit reached!
% 9.32/5.19 % (3168829)------------------------------
% 9.32/5.19 % (3168829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.32/5.19 % (3168829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/5.19 % (3168829)CaDiCaL version: 2.1.3
% 9.32/5.19 % (3168829)Termination reason: Instruction limit
% 9.32/5.19 % (3168829)Termination phase: Property scanning
% 9.32/5.19 % (3168829)Time elapsed: 0.032 s
% 9.32/5.19 % (3168829)Peak memory usage: 25 MB
% 9.32/5.19 % (3168829)Instructions burned: 45 (million)
% 9.32/5.19 % (3168835)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 9.32/5.19 % (3168835)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2033057766:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/200Mi)
% 9.32/5.19 % (3168836)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3189010399:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2987 on theBenchmark for (2987ds/13Mi)
% 9.32/5.19 % (3168833)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1249891009:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2987 on theBenchmark for (2987ds/21Mi)
% 9.32/5.19 % (3168836)Instruction limit reached!
% 9.32/5.19 % (3168836)------------------------------
% 9.32/5.19 % (3168836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.32/5.19 % (3168836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/5.19 % (3168836)CaDiCaL version: 2.1.3
% 10.14/5.35 % (3168836)Termination reason: Instruction limit
% 10.14/5.35 % (3168836)Termination phase: shuffling
% 10.14/5.35 % (3168836)Time elapsed: 0.018 s
% 10.14/5.35 % (3168836)Peak memory usage: 25 MB
% 10.14/5.35 % (3168836)Instructions burned: 14 (million)
% 10.14/5.35 % (3168833)Instruction limit reached!
% 10.14/5.35 % (3168833)------------------------------
% 10.14/5.35 % (3168833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.14/5.35 % (3168833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/5.35 % (3168833)CaDiCaL version: 2.1.3
% 10.14/5.35 % (3168833)Termination reason: Instruction limit
% 10.14/5.35 % (3168833)Termination phase: shuffling
% 10.14/5.35 % (3168833)Time elapsed: 0.035 s
% 10.14/5.35 % (3168833)Peak memory usage: 24 MB
% 10.14/5.35 % (3168833)Instructions burned: 21 (million)
% 10.14/5.35 % (3168840)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=100124779:i=66:s2at=3:nm=2:rtra=on:rawr=on_2986 on theBenchmark for (2986ds/66Mi)
% 10.14/5.35 % (3168805)Instruction limit reached!
% 10.14/5.35 % (3168805)------------------------------
% 10.14/5.35 % (3168805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.14/5.35 % (3168805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/5.35 % (3168805)CaDiCaL version: 2.1.3
% 10.14/5.35 % (3168805)Termination reason: Instruction limit
% 10.14/5.35 % (3168805)Termination phase: shuffling
% 10.14/5.35 % (3168805)Time elapsed: 0.338 s
% 10.14/5.35 % (3168805)Peak memory usage: 50 MB
% 10.14/5.35 % (3168805)Instructions burned: 1242 (million)
% 10.14/5.35 % (3168842)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=4033987097:i=51:fsr=off:rtra=on_2986 on theBenchmark for (2986ds/51Mi)
% 10.14/5.35 % (3168843)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=801701729:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/31Mi)
% 10.14/5.35 % (3168840)Instruction limit reached!
% 10.14/5.35 % (3168840)------------------------------
% 10.14/5.35 % (3168840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.14/5.35 % (3168840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/5.35 % (3168840)CaDiCaL version: 2.1.3
% 10.14/5.35 % (3168840)Termination reason: Instruction limit
% 10.14/5.35 % (3168840)Termination phase: shuffling
% 10.14/5.35 % (3168840)Time elapsed: 0.045 s
% 10.14/5.35 % (3168840)Peak memory usage: 26 MB
% 10.14/5.35 % (3168840)Instructions burned: 67 (million)
% 10.14/5.35 % (3168843)Instruction limit reached!
% 10.14/5.35 % (3168843)------------------------------
% 10.14/5.35 % (3168843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.14/5.35 % (3168843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/5.35 % (3168843)CaDiCaL version: 2.1.3
% 10.14/5.35 % (3168843)Termination reason: Instruction limit
% 10.14/5.35 % (3168843)Termination phase: shuffling
% 10.14/5.35 % (3168843)Time elapsed: 0.017 s
% 10.14/5.35 % (3168843)Peak memory usage: 26 MB
% 10.14/5.35 % (3168843)Instructions burned: 31 (million)
% 10.14/5.35 % (3168842)Instruction limit reached!
% 10.14/5.35 % (3168842)------------------------------
% 10.14/5.35 % (3168842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.14/5.35 % (3168842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/5.35 % (3168842)CaDiCaL version: 2.1.3
% 10.14/5.35 % (3168842)Termination reason: Instruction limit
% 10.14/5.35 % (3168842)Termination phase: shuffling
% 10.14/5.35 % (3168842)Time elapsed: 0.039 s
% 10.14/5.35 % (3168842)Peak memory usage: 26 MB
% 10.14/5.35 % (3168842)Instructions burned: 52 (million)
% 10.14/5.35 % (3168847)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=3175919566:cond=on:i=34:hud=10:nm=10:rtra=on_2986 on theBenchmark for (2986ds/34Mi)
% 10.14/5.35 % (3168846)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2180944154:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2986 on theBenchmark for (2986ds/137Mi)
% 10.14/5.35 % (3168847)Instruction limit reached!
% 10.14/5.35 % (3168847)------------------------------
% 10.14/5.35 % (3168847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.14/5.35 % (3168847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/5.35 % (3168847)CaDiCaL version: 2.1.3
% 10.81/5.55 % (3168847)Termination reason: Instruction limit
% 10.81/5.55 % (3168847)Termination phase: shuffling
% 10.81/5.55 % (3168847)Time elapsed: 0.018 s
% 10.81/5.55 % (3168847)Peak memory usage: 26 MB
% 10.81/5.55 % (3168847)Instructions burned: 36 (million)
% 10.81/5.55 % (3168849)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2699183106:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2986 on theBenchmark for (2986ds/67Mi)
% 10.81/5.55 % (3168852)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 10.81/5.55 % (3168852)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3588309786:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2985 on theBenchmark for (2985ds/180Mi)
% 10.81/5.55 % (3168835)Instruction limit reached!
% 10.81/5.55 % (3168835)------------------------------
% 10.81/5.55 % (3168835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.81/5.55 % (3168835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.81/5.55 % (3168835)CaDiCaL version: 2.1.3
% 10.81/5.55 % (3168835)Termination reason: Instruction limit
% 10.81/5.55 % (3168835)Termination phase: shuffling
% 10.81/5.55 % (3168835)Time elapsed: 0.159 s
% 10.81/5.55 % (3168835)Peak memory usage: 29 MB
% 10.81/5.55 % (3168835)Instructions burned: 201 (million)
% 10.81/5.55 % (3168849)Instruction limit reached!
% 10.81/5.55 % (3168849)------------------------------
% 10.81/5.55 % (3168849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.81/5.55 % (3168849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.81/5.55 % (3168849)CaDiCaL version: 2.1.3
% 10.81/5.55 % (3168849)Termination reason: Instruction limit
% 10.81/5.55 % (3168849)Termination phase: shuffling
% 10.81/5.55 % (3168849)Time elapsed: 0.047 s
% 10.81/5.55 % (3168849)Peak memory usage: 26 MB
% 10.81/5.55 % (3168849)Instructions burned: 68 (million)
% 10.81/5.55 % (3168854)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1702042243:st=2:i=246:sd=3:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/246Mi)
% 10.81/5.55 % (3168846)Instruction limit reached!
% 10.81/5.55 % (3168846)------------------------------
% 10.81/5.55 % (3168846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.81/5.55 % (3168846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.81/5.55 % (3168846)CaDiCaL version: 2.1.3
% 10.81/5.55 % (3168846)Termination reason: Instruction limit
% 10.81/5.55 % (3168846)Termination phase: shuffling
% 10.81/5.55 % (3168846)Time elapsed: 0.081 s
% 10.81/5.55 % (3168846)Peak memory usage: 28 MB
% 10.81/5.55 % (3168846)Instructions burned: 138 (million)
% 10.81/5.55 % (3168852)Instruction limit reached!
% 10.81/5.55 % (3168852)------------------------------
% 10.81/5.55 % (3168852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.81/5.55 % (3168852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.81/5.55 % (3168852)CaDiCaL version: 2.1.3
% 10.81/5.55 % (3168852)Termination reason: Instruction limit
% 10.81/5.55 % (3168852)Termination phase: shuffling
% 10.81/5.55 % (3168852)Time elapsed: 0.055 s
% 10.81/5.55 % (3168852)Peak memory usage: 28 MB
% 10.81/5.55 % (3168852)Instructions burned: 180 (million)
% 10.81/5.55 % (3168855)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2925649580:cond=on:i=96:bd=all:rtra=on_2985 on theBenchmark for (2985ds/96Mi)
% 10.81/5.55 % (3168857)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3186066705:i=427:sd=1:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/427Mi)
% 10.81/5.55 % (3168825)Instruction limit reached!
% 10.81/5.55 % (3168825)------------------------------
% 10.81/5.55 % (3168825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.81/5.55 % (3168825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.81/5.55 % (3168825)CaDiCaL version: 2.1.3
% 10.81/5.55 % (3168825)Termination reason: Instruction limit
% 10.81/5.55 % (3168825)Termination phase: shuffling
% 10.81/5.55 % (3168825)Time elapsed: 0.287 s
% 10.81/5.55 % (3168825)Peak memory usage: 31 MB
% 10.81/5.55 % (3168825)Instructions burned: 316 (million)
% 10.81/5.55 % (3168859)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=668829242:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/874Mi)
% 10.81/5.55 % (3168862)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3243261321:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/515Mi)
% 10.81/5.55 % (3168855)Instruction limit reached!
% 11.76/5.69 % (3168855)------------------------------
% 11.76/5.69 % (3168855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.76/5.69 % (3168855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.76/5.69 % (3168855)CaDiCaL version: 2.1.3
% 11.76/5.69 % (3168855)Termination reason: Instruction limit
% 11.76/5.69 % (3168855)Termination phase: shuffling
% 11.76/5.69 % (3168855)Time elapsed: 0.061 s
% 11.76/5.69 % (3168855)Peak memory usage: 27 MB
% 11.76/5.69 % (3168855)Instructions burned: 96 (million)
% 11.76/5.69 % (3168864)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3422398300:st=1.5:i=130:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/130Mi)
% 11.76/5.69 % (3168854)Instruction limit reached!
% 11.76/5.69 % (3168854)------------------------------
% 11.76/5.69 % (3168854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.76/5.69 % (3168854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.76/5.69 % (3168854)CaDiCaL version: 2.1.3
% 11.76/5.69 % (3168854)Termination reason: Instruction limit
% 11.76/5.69 % (3168854)Termination phase: shuffling
% 11.76/5.69 % (3168854)Time elapsed: 0.137 s
% 11.76/5.69 % (3168854)Peak memory usage: 30 MB
% 11.76/5.69 % (3168854)Instructions burned: 246 (million)
% 11.76/5.69 % (3168857)Instruction limit reached!
% 11.76/5.69 % (3168857)------------------------------
% 11.76/5.69 % (3168857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.76/5.69 % (3168857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.76/5.69 % (3168857)CaDiCaL version: 2.1.3
% 11.76/5.69 % (3168857)Termination reason: Instruction limit
% 11.76/5.69 % (3168857)Termination phase: shuffling
% 11.76/5.69 % (3168857)Time elapsed: 0.121 s
% 11.76/5.69 % (3168857)Peak memory usage: 33 MB
% 11.76/5.69 % (3168857)Instructions burned: 429 (million)
% 11.76/5.69 % (3168867)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2388031136:s2a=on:i=571:nm=16:rtra=on_2983 on theBenchmark for (2983ds/571Mi)
% 11.76/5.69 % (3168866)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2866636024:i=44:ep=R:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/44Mi)
% 11.76/5.69 % (3168864)Instruction limit reached!
% 11.76/5.69 % (3168864)------------------------------
% 11.76/5.69 % (3168864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.76/5.69 % (3168864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.76/5.69 % (3168864)CaDiCaL version: 2.1.3
% 11.76/5.69 % (3168864)Termination reason: Instruction limit
% 11.76/5.69 % (3168864)Termination phase: shuffling
% 11.76/5.69 % (3168864)Time elapsed: 0.075 s
% 11.76/5.69 % (3168864)Peak memory usage: 27 MB
% 11.76/5.69 % (3168864)Instructions burned: 131 (million)
% 11.76/5.69 % (3168831)Instruction limit reached!
% 11.76/5.69 % (3168831)------------------------------
% 11.76/5.69 % (3168831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.76/5.69 % (3168831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.76/5.69 % (3168831)CaDiCaL version: 2.1.3
% 11.76/5.69 % (3168831)Termination reason: Instruction limit
% 11.76/5.69 % (3168831)Termination phase: shuffling
% 11.76/5.69 % (3168831)Time elapsed: 0.395 s
% 11.76/5.69 % (3168831)Peak memory usage: 34 MB
% 11.76/5.69 % (3168831)Instructions burned: 480 (million)
% 11.76/5.69 % (3168870)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=4244037498:i=450:rtra=on:ixr=off:ntd=on_2983 on theBenchmark for (2983ds/450Mi)
% 11.76/5.69 % (3168866)Instruction limit reached!
% 11.76/5.69 % (3168866)------------------------------
% 11.76/5.69 % (3168866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.76/5.69 % (3168866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.76/5.69 % (3168866)CaDiCaL version: 2.1.3
% 11.76/5.69 % (3168866)Termination reason: Instruction limit
% 11.76/5.69 % (3168866)Termination phase: shuffling
% 11.76/5.69 % (3168866)Time elapsed: 0.040 s
% 11.76/5.69 % (3168866)Peak memory usage: 26 MB
% 11.76/5.69 % (3168866)Instructions burned: 45 (million)
% 11.76/5.69 % (3168872)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3706186066:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/95Mi)
% 11.76/5.69 % (3168873)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=2029103243:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2983 on theBenchmark for (2983ds/65Mi)
% 12.50/5.88 % (3168873)Instruction limit reached!
% 12.50/5.88 % (3168873)------------------------------
% 12.50/5.88 % (3168873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/5.88 % (3168873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/5.88 % (3168873)CaDiCaL version: 2.1.3
% 12.50/5.88 % (3168873)Termination reason: Instruction limit
% 12.50/5.88 % (3168873)Termination phase: shuffling
% 12.50/5.88 % (3168873)Time elapsed: 0.044 s
% 12.50/5.88 % (3168873)Peak memory usage: 26 MB
% 12.50/5.88 % (3168873)Instructions burned: 67 (million)
% 12.50/5.88 % (3168876)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=4196145670:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2982 on theBenchmark for (2982ds/105Mi)
% 12.50/5.88 % (3168867)Instruction limit reached!
% 12.50/5.88 % (3168867)------------------------------
% 12.50/5.88 % (3168867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/5.88 % (3168867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/5.88 % (3168867)CaDiCaL version: 2.1.3
% 12.50/5.88 % (3168867)Termination reason: Instruction limit
% 12.50/5.88 % (3168867)Termination phase: shuffling
% 12.50/5.88 % (3168867)Time elapsed: 0.159 s
% 12.50/5.88 % (3168867)Peak memory usage: 36 MB
% 12.50/5.88 % (3168867)Instructions burned: 572 (million)
% 12.50/5.88 % (3168878)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=2433280636:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2982 on theBenchmark for (2982ds/5755Mi)
% 12.50/5.88 % (3168872)Instruction limit reached!
% 12.50/5.88 % (3168872)------------------------------
% 12.50/5.88 % (3168872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/5.88 % (3168872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/5.88 % (3168872)CaDiCaL version: 2.1.3
% 12.50/5.88 % (3168872)Termination reason: Instruction limit
% 12.50/5.88 % (3168872)Termination phase: shuffling
% 12.50/5.88 % (3168872)Time elapsed: 0.097 s
% 12.50/5.88 % (3168872)Peak memory usage: 27 MB
% 12.50/5.88 % (3168872)Instructions burned: 96 (million)
% 12.50/5.88 % (3168880)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=27993725:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2981 on theBenchmark for (2981ds/375Mi)
% 12.50/5.88 % (3168876)Instruction limit reached!
% 12.50/5.88 % (3168876)------------------------------
% 12.50/5.88 % (3168876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/5.88 % (3168876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/5.88 % (3168876)CaDiCaL version: 2.1.3
% 12.50/5.88 % (3168876)Termination reason: Instruction limit
% 12.50/5.88 % (3168876)Termination phase: shuffling
% 12.50/5.88 % (3168876)Time elapsed: 0.099 s
% 12.50/5.88 % (3168876)Peak memory usage: 27 MB
% 12.50/5.88 % (3168876)Instructions burned: 106 (million)
% 12.50/5.88 % (3168870)Instruction limit reached!
% 12.50/5.88 % (3168870)------------------------------
% 12.50/5.88 % (3168870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/5.88 % (3168870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/5.88 % (3168870)CaDiCaL version: 2.1.3
% 12.50/5.88 % (3168870)Termination reason: Instruction limit
% 12.50/5.88 % (3168870)Termination phase: shuffling
% 12.50/5.88 % (3168870)Time elapsed: 0.230 s
% 12.50/5.88 % (3168870)Peak memory usage: 33 MB
% 12.50/5.88 % (3168870)Instructions burned: 450 (million)
% 12.50/5.88 % (3168826)Instruction limit reached!
% 12.50/5.88 % (3168826)------------------------------
% 12.50/5.88 % (3168826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/5.88 % (3168826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/5.88 % (3168826)CaDiCaL version: 2.1.3
% 12.50/5.88 % (3168826)Termination reason: Instruction limit
% 12.50/5.88 % (3168826)Termination phase: shuffling
% 12.50/5.88 % (3168826)Time elapsed: 0.683 s
% 12.50/5.88 % (3168826)Peak memory usage: 32 MB
% 12.50/5.88 % (3168826)Instructions burned: 854 (million)
% 12.50/5.88 % (3168882)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3141261740:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2981 on theBenchmark for (2981ds/495Mi)
% 15.46/6.10 % (3168883)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=1638342766:cond=on:i=34:hud=10:nm=10:rtra=on_2981 on theBenchmark for (2981ds/34Mi)
% 15.46/6.10 % (3168859)Instruction limit reached!
% 15.46/6.10 % (3168859)------------------------------
% 15.46/6.10 % (3168859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.46/6.10 % (3168859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.46/6.10 % (3168859)CaDiCaL version: 2.1.3
% 15.46/6.10 % (3168859)Termination reason: Instruction limit
% 15.46/6.10 % (3168859)Termination phase: shuffling
% 15.46/6.10 % (3168859)Time elapsed: 0.437 s
% 15.46/6.10 % (3168859)Peak memory usage: 42 MB
% 15.46/6.10 % (3168859)Instructions burned: 875 (million)
% 15.46/6.10 % (3168883)Instruction limit reached!
% 15.46/6.10 % (3168883)------------------------------
% 15.46/6.10 % (3168883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.46/6.10 % (3168883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.46/6.10 % (3168883)CaDiCaL version: 2.1.3
% 15.46/6.10 % (3168883)Termination reason: Instruction limit
% 15.46/6.10 % (3168883)Termination phase: shuffling
% 15.46/6.10 % (3168883)Time elapsed: 0.030 s
% 15.46/6.10 % (3168883)Peak memory usage: 26 MB
% 15.46/6.10 % (3168883)Instructions burned: 34 (million)
% 15.46/6.10 % (3168885)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=4057585038:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2980 on theBenchmark for (2980ds/91Mi)
% 15.46/6.10 % (3168887)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=1702765106:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2980 on theBenchmark for (2980ds/66Mi)
% 15.46/6.10 % (3168888)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=4000978424:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2980 on theBenchmark for (2980ds/22Mi)
% 15.46/6.10 % (3168862)Instruction limit reached!
% 15.46/6.10 % (3168862)------------------------------
% 15.46/6.10 % (3168862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.46/6.10 % (3168862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.46/6.10 % (3168862)CaDiCaL version: 2.1.3
% 15.46/6.10 % (3168862)Termination reason: Instruction limit
% 15.46/6.10 % (3168862)Termination phase: shuffling
% 15.46/6.10 % (3168862)Time elapsed: 0.448 s
% 15.46/6.10 % (3168862)Peak memory usage: 35 MB
% 15.46/6.10 % (3168862)Instructions burned: 516 (million)
% 15.46/6.10 % (3168888)Instruction limit reached!
% 15.46/6.10 % (3168888)------------------------------
% 15.46/6.10 % (3168888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.46/6.10 % (3168888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.46/6.10 % (3168888)CaDiCaL version: 2.1.3
% 15.46/6.10 % (3168888)Termination reason: Instruction limit
% 15.46/6.10 % (3168888)Termination phase: shuffling
% 15.46/6.10 % (3168888)Time elapsed: 0.023 s
% 15.46/6.10 % (3168888)Peak memory usage: 25 MB
% 15.46/6.10 % (3168888)Instructions burned: 22 (million)
% 15.46/6.10 % (3168887)Instruction limit reached!
% 15.46/6.10 % (3168887)------------------------------
% 15.46/6.10 % (3168887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.46/6.10 % (3168887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.46/6.10 % (3168887)CaDiCaL version: 2.1.3
% 15.46/6.10 % (3168887)Termination reason: Instruction limit
% 15.46/6.10 % (3168887)Termination phase: shuffling
% 15.46/6.10 % (3168887)Time elapsed: 0.046 s
% 15.46/6.10 % (3168887)Peak memory usage: 26 MB
% 15.46/6.10 % (3168887)Instructions burned: 66 (million)
% 15.46/6.10 % (3168893)lrs+10_1_sil=128000:si=on:urr=on:random_seed=4210485800:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/28Mi)
% 15.46/6.10 % (3168892)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=1289275553:i=338:bd=all:ins=4:rtra=on_2980 on theBenchmark for (2980ds/338Mi)
% 15.46/6.10 % (3168893)Instruction limit reached!
% 15.46/6.10 % (3168893)------------------------------
% 15.46/6.10 % (3168893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.46/6.10 % (3168893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.84/6.37 % (3168893)CaDiCaL version: 2.1.3
% 16.84/6.37 % (3168893)Termination reason: Instruction limit
% 16.84/6.37 % (3168893)Termination phase: shuffling
% 16.84/6.37 % (3168893)Time elapsed: 0.027 s
% 16.84/6.37 % (3168893)Peak memory usage: 25 MB
% 16.84/6.37 % (3168893)Instructions burned: 30 (million)
% 16.84/6.37 % (3168894)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 16.84/6.37 % (3168885)Instruction limit reached!
% 16.84/6.37 % (3168885)------------------------------
% 16.84/6.37 % (3168885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.84/6.37 % (3168885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.84/6.37 % (3168885)CaDiCaL version: 2.1.3
% 16.84/6.37 % (3168885)Termination reason: Instruction limit
% 16.84/6.37 % (3168885)Termination phase: shuffling
% 16.84/6.37 % (3168885)Time elapsed: 0.087 s
% 16.84/6.37 % (3168885)Peak memory usage: 27 MB
% 16.84/6.37 % (3168885)Instructions burned: 91 (million)
% 16.84/6.37 % (3168894)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=230435261:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2979 on theBenchmark for (2979ds/137Mi)
% 16.84/6.37 % (3168897)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=2819081548:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2979 on theBenchmark for (2979ds/340Mi)
% 16.84/6.37 % (3168898)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=1741116097:i=227:sd=1:bd=all:rtra=on:ss=axioms_2979 on theBenchmark for (2979ds/227Mi)
% 16.84/6.37 % (3168894)Instruction limit reached!
% 16.84/6.37 % (3168894)------------------------------
% 16.84/6.37 % (3168894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.84/6.37 % (3168894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.84/6.37 % (3168894)CaDiCaL version: 2.1.3
% 16.84/6.37 % (3168894)Termination reason: Instruction limit
% 16.84/6.37 % (3168894)Termination phase: shuffling
% 16.84/6.37 % (3168894)Time elapsed: 0.132 s
% 16.84/6.37 % (3168894)Peak memory usage: 28 MB
% 16.84/6.37 % (3168894)Instructions burned: 137 (million)
% 16.84/6.37 % (3168880)Instruction limit reached!
% 16.84/6.37 % (3168880)------------------------------
% 16.84/6.37 % (3168880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.84/6.37 % (3168880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.84/6.37 % (3168880)CaDiCaL version: 2.1.3
% 16.84/6.37 % (3168880)Termination reason: Instruction limit
% 16.84/6.37 % (3168880)Termination phase: shuffling
% 16.84/6.37 % (3168880)Time elapsed: 0.343 s
% 16.84/6.37 % (3168880)Peak memory usage: 32 MB
% 16.84/6.37 % (3168880)Instructions burned: 376 (million)
% 16.84/6.37 % (3168898)Instruction limit reached!
% 16.84/6.37 % (3168898)------------------------------
% 16.84/6.37 % (3168898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.84/6.37 % (3168898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.84/6.37 % (3168898)CaDiCaL version: 2.1.3
% 16.84/6.37 % (3168898)Termination reason: Instruction limit
% 16.84/6.37 % (3168898)Termination phase: shuffling
% 16.84/6.37 % (3168898)Time elapsed: 0.125 s
% 16.84/6.37 % (3168898)Peak memory usage: 29 MB
% 16.84/6.37 % (3168898)Instructions burned: 235 (million)
% 16.84/6.37 % (3168902)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 16.84/6.37 % (3168902)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3046729452:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/373Mi)
% 16.84/6.37 % (3168903)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2618192621:i=116:ep=RSTC:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/116Mi)
% 16.84/6.37 % (3168904)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1384273160:i=575:rtra=on_2978 on theBenchmark for (2978ds/575Mi)
% 16.84/6.37 % (3168897)Instruction limit reached!
% 16.84/6.37 % (3168897)------------------------------
% 16.84/6.37 % (3168897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.84/6.37 % (3168897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.84/6.37 % (3168897)CaDiCaL version: 2.1.3
% 16.09/6.41 % (3168897)Termination reason: Instruction limit
% 16.09/6.41 % (3168897)Termination phase: shuffling
% 16.09/6.41 % (3168897)Time elapsed: 0.175 s
% 16.09/6.41 % (3168897)Peak memory usage: 32 MB
% 16.09/6.41 % (3168897)Instructions burned: 341 (million)
% 16.09/6.41 % (3168908)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1064322149:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2977 on theBenchmark for (2977ds/270Mi)
% 16.09/6.41 % (3168882)Instruction limit reached!
% 16.09/6.41 % (3168882)------------------------------
% 16.09/6.41 % (3168882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.09/6.41 % (3168882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.09/6.41 % (3168882)CaDiCaL version: 2.1.3
% 16.09/6.41 % (3168882)Termination reason: Instruction limit
% 16.09/6.41 % (3168882)Termination phase: shuffling
% 16.09/6.41 % (3168882)Time elapsed: 0.388 s
% 16.09/6.41 % (3168882)Peak memory usage: 34 MB
% 16.09/6.41 % (3168882)Instructions burned: 495 (million)
% 16.09/6.41 % (3168892)Instruction limit reached!
% 16.09/6.41 % (3168892)------------------------------
% 16.09/6.41 % (3168892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.09/6.41 % (3168892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.09/6.41 % (3168892)CaDiCaL version: 2.1.3
% 16.09/6.41 % (3168892)Termination reason: Instruction limit
% 16.09/6.41 % (3168892)Termination phase: shuffling
% 16.09/6.41 % (3168892)Time elapsed: 0.304 s
% 16.09/6.41 % (3168892)Peak memory usage: 32 MB
% 16.09/6.41 % (3168892)Instructions burned: 338 (million)
% 16.09/6.41 % (3168910)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1143986445:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2976 on theBenchmark for (2976ds/9840Mi)
% 16.09/6.41 % (3168903)Instruction limit reached!
% 16.09/6.41 % (3168903)------------------------------
% 16.09/6.41 % (3168903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.09/6.41 % (3168903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.09/6.41 % (3168903)CaDiCaL version: 2.1.3
% 16.09/6.41 % (3168903)Termination reason: Instruction limit
% 16.09/6.41 % (3168903)Termination phase: shuffling
% 16.09/6.41 % (3168903)Time elapsed: 0.121 s
% 16.09/6.41 % (3168903)Peak memory usage: 27 MB
% 16.09/6.41 % (3168903)Instructions burned: 116 (million)
% 16.09/6.41 % (3168911)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3605257508:i=421:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/421Mi)
% 16.09/6.41 % (3168913)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 16.09/6.41 % (3168913)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=2010187797:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/270Mi)
% 16.09/6.41 % (3168908)Instruction limit reached!
% 16.09/6.41 % (3168908)------------------------------
% 16.09/6.41 % (3168908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.09/6.41 % (3168908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.09/6.41 % (3168908)CaDiCaL version: 2.1.3
% 16.09/6.41 % (3168908)Termination reason: Instruction limit
% 16.09/6.41 % (3168908)Termination phase: shuffling
% 16.09/6.41 % (3168908)Time elapsed: 0.148 s
% 16.09/6.41 % (3168908)Peak memory usage: 32 MB
% 16.09/6.41 % (3168908)Instructions burned: 271 (million)
% 16.09/6.41 % (3168916)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2484353910:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/31Mi)
% 16.09/6.41 % (3168902)Instruction limit reached!
% 16.09/6.41 % (3168902)------------------------------
% 16.09/6.41 % (3168902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.09/6.41 % (3168902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.09/6.41 % (3168902)CaDiCaL version: 2.1.3
% 16.09/6.41 % (3168902)Termination reason: Instruction limit
% 16.09/6.41 % (3168902)Termination phase: shuffling
% 16.09/6.41 % (3168902)Time elapsed: 0.242 s
% 16.09/6.41 % (3168902)Peak memory usage: 33 MB
% 16.09/6.41 % (3168902)Instructions burned: 374 (million)
% 16.09/6.41 % (3168916)Instruction limit reached!
% 16.09/6.41 % (3168916)------------------------------
% 16.09/6.41 % (3168916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.09/6.41 % (3168916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.09/6.41 % (3168916)CaDiCaL version: 2.1.3
% 16.09/6.41 % (3168916)Termination reason: Instruction limit
% 16.09/6.41 % (3168916)Termination phase: shuffling
% 16.09/6.41 % (3168916)Time elapsed: 0.029 s
% 16.09/6.41 % (3168916)Peak memory usage: 26 MB
% 16.09/6.41 % (3168916)Instructions burned: 32 (million)
% 16.09/6.41 % (3168918)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 16.09/6.41 % (3168918)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 16.09/6.41 % (3168918)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=2723998712:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2975 on theBenchmark for (2975ds/1440Mi)
% 16.09/6.41 % (3168919)dis+10_2_sil=128000:si=on:random_seed=1345566800:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2975 on theBenchmark for (2975ds/339Mi)
% 16.09/6.41 % (3168913)Instruction limit reached!
% 16.09/6.41 % (3168913)------------------------------
% 16.09/6.41 % (3168913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.09/6.41 % (3168913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.09/6.41 % (3168913)CaDiCaL version: 2.1.3
% 16.09/6.41 % (3168913)Termination reason: Instruction limit
% 16.09/6.41 % (3168913)Termination phase: shuffling
% 16.09/6.41 % (3168913)Time elapsed: 0.142 s
% 16.09/6.41 % (3168913)Peak memory usage: 30 MB
% 16.09/6.41 % (3168913)Instructions burned: 270 (million)
% 16.09/6.41 % (3168922)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=1688326279:i=111:add=on:fgj=on:rtra=on:fdi=1024_2974 on theBenchmark for (2974ds/111Mi)
% 16.09/6.41 % (3168922)Instruction limit reached!
% 16.09/6.41 % (3168922)------------------------------
% 16.09/6.41 % (3168922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.09/6.41 % (3168922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.09/6.41 % (3168922)CaDiCaL version: 2.1.3
% 16.09/6.41 % (3168922)Termination reason: Instruction limit
% 16.09/6.41 % (3168922)Termination phase: shuffling
% 16.09/6.41 % (3168922)Time elapsed: 0.067 s
% 16.09/6.41 % (3168922)Peak memory usage: 27 MB
% 16.09/6.41 % (3168922)Instructions burned: 111 (million)
% 16.09/6.41 % (3168924)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=1786650987:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2973 on theBenchmark for (2973ds/122Mi)
% 16.09/6.41 % (3168919)Instruction limit reached!
% 16.09/6.41 % (3168919)------------------------------
% 16.09/6.41 % (3168919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.09/6.41 % (3168919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.09/6.41 % (3168919)CaDiCaL version: 2.1.3
% 16.09/6.41 % (3168919)Termination reason: Instruction limit
% 16.09/6.41 % (3168919)Termination phase: shuffling
% 16.09/6.41 % (3168919)Time elapsed: 0.176 s
% 16.09/6.41 % (3168919)Peak memory usage: 31 MB
% 16.09/6.41 % (3168919)Instructions burned: 341 (million)
% 16.09/6.41 % (3168926)dis+1010_3:2_anc=all_dependent:sil=128000:si=on:sos=on:lma=off:spb=goal_then_units:bce=on:fd=off:random_seed=1857975795:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/136Mi)
% 16.09/6.41 % (3168924)Instruction limit reached!
% 16.09/6.41 % (3168924)------------------------------
% 16.09/6.41 % (3168924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.09/6.41 % (3168924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.09/6.41 % (3168924)CaDiCaL version: 2.1.3
% 16.09/6.41 % (3168924)Termination reason: Instruction limit
% 16.09/6.41 % (3168924)Termination phase: shuffling
% 16.09/6.41 % (3168924)Time elapsed: 0.072 s
% 16.09/6.41 % (3168924)Peak memory usage: 27 MB
% 16.09/6.41 % (3168924)Instructions burned: 123 (million)
% 16.09/6.41 % (3168928)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1858698023:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2972 on theBenchmark for (2972ds/232Mi)
% 16.09/6.41 % (3168878) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3168739-3168878"...
% 16.09/6.41 % (3168911)Instruction limit reached!
% 16.09/6.41 % (3168911)------------------------------
% 16.09/6.41 % (3168911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.09/6.41 % (3168911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.09/6.41 % (3168911)CaDiCaL version: 2.1.3
% 16.09/6.41 % (3168911)Termination reason: Instruction limit
% 16.09/6.41 % (3168911)Termination phase: shuffling
% 16.09/6.41 % (3168911)Time elapsed: 0.375 s
% 16.09/6.41 % (3168911)Peak memory usage: 33 MB
% 16.09/6.41 % (3168911)Instructions burned: 421 (million)
% 16.09/6.41 % (3168904)Instruction limit reached!
% 16.09/6.41 % (3168904)------------------------------
% 16.09/6.41 % (3168904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.09/6.41 % (3168904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.09/6.41 % (3168904)CaDiCaL version: 2.1.3
% 16.09/6.41 % (3168904)Termination reason: Instruction limit
% 16.09/6.41 % (3168904)Termination phase: shuffling
% 16.09/6.41 % (3168904)Time elapsed: 0.517 s
% 16.09/6.41 % (3168904)Peak memory usage: 35 MB
% 16.09/6.41 % (3168904)Instructions burned: 576 (million)
% 16.09/6.41 % (3168878)...printing done.
% 16.09/6.41 % (3168878)Refutation found. Thanks to Tanya!
% 16.09/6.41 % SZS status Theorem for theBenchmark
% 16.09/6.41 % SZS output start Proof for theBenchmark
% 16.09/6.41 thf(type_def_5, type, vEBT_VEBT: $tType).
% 16.09/6.41 thf(type_def_6, type, product_unit: $tType).
% 16.09/6.41 thf(type_def_7, type, product_prod: ($tType * $tType) > $tType).
% 16.09/6.41 thf(type_def_8, type, extended_enat: $tType).
% 16.09/6.41 thf(type_def_9, type, complex: $tType).
% 16.09/6.41 thf(type_def_10, type, sum_sum: ($tType * $tType) > $tType).
% 16.09/6.41 thf(type_def_11, type, option: $tType > $tType).
% 16.09/6.41 thf(type_def_12, type, filter: $tType > $tType).
% 16.09/6.41 thf(type_def_13, type, char: $tType).
% 16.09/6.41 thf(type_def_14, type, real: $tType).
% 16.09/6.41 thf(type_def_15, type, list: $tType > $tType).
% 16.09/6.41 thf(type_def_16, type, set: $tType > $tType).
% 16.09/6.41 thf(type_def_17, type, num: $tType).
% 16.09/6.41 thf(type_def_18, type, nat: $tType).
% 16.09/6.41 thf(type_def_19, type, int: $tType).
% 16.09/6.41 thf(type_def_20, type, itself: $tType > $tType).
% 16.09/6.41 thf(type_def_21, type, sTfun: ($tType * $tType) > $tType).
% 16.09/6.41 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_1, type, size: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_2, type, dvd: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_3, type, one: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_4, type, idom: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_5, type, ring: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_6, type, plus: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_7, type, zero: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_8, type, numeral: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_9, type, power: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_10, type, field: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_11, type, abs_if: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_12, type, ring_1: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_13, type, uminus: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_14, type, bot: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_15, type, ord: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_16, type, top: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_17, type, semidom: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_18, type, inverse: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_19, type, semiring: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_20, type, ring_char_0: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_21, type, neg_numeral: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_22, type, order: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_23, type, comm_ring: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_24, type, mult_zero: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_25, type, semiring_Gcd: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_26, type, semiring_gcd: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_27, type, group_add: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_28, type, lattice: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_29, type, no_bot: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_30, type, no_top: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_31, type, semiring_0: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_32, type, semiring_1: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_33, type, finite_finite: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_34, type, monoid_add: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_35, type, comm_ring_1: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_36, type, idom_divide: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_37, type, idom_modulo: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_38, type, ln: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_39, type, monoid_mult: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_40, type, linorder: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_41, type, preorder: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_42, type, ring_parity: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_43, type, idom_abs_sgn: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_44, type, ordered_ring: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_45, type, zero_neq_one: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_46, type, countable: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_47, type, finite_lattice: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_48, type, field_char_0: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_49, type, ab_group_add: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_50, type, semiring_char_0: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_51, type, order_bot: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_52, type, order_top: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_53, type, wellorder: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_54, type, comm_semiring: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_55, type, zero_less_one: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_56, type, division_ring: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_57, type, field_abs_sgn: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_58, type, semigroup_add: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_59, type, semiring_numeral: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_60, type, semidom_divide: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_61, type, semidom_modulo: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_62, type, semigroup_mult: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_63, type, dense_order: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_64, type, comm_semiring_0: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_65, type, comm_semiring_1: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_66, type, linordered_idom: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_67, type, linordered_ring: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_68, type, semiring_modulo: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_69, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_70, type, semiring_parity: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_71, type, ordered_ring_abs: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_72, type, ordered_semiring: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_73, type, linordered_field: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_74, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_75, type, comm_monoid_diff: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_76, type, comm_monoid_mult: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_77, type, algebraic_semidom: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_78, type, semiring_1_cancel: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_79, type, ab_semigroup_mult: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_80, type, bounded_lattice: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_81, type, distrib_lattice: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_82, type, semilattice_inf: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_83, type, semilattice_sup: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_84, type, dense_linorder: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_85, type, linordered_semidom: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_86, type, ordered_semiring_0: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_87, type, real_Vector_banach: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_88, type, linordered_semiring: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_89, type, comple9053668089753744459l_ccpo: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_90, type, finite8700451911770168679attice: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_91, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_92, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_93, type, linord6961819062388156250ring_1: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_94, type, ordere2520102378445227354miring: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_95, type, topological_t1_space: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_96, type, topological_t2_space: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_97, type, topological_t3_space: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_98, type, topological_t4_space: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_99, type, bit_semiring_bits: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_100, type, bounded_lattice_bot: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_101, type, topolo1633459387980952147up_add: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_102, type, comm_s4317794764714335236cancel: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_103, type, linord4710134922213307826strict: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_104, type, cancel1802427076303600483id_add: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_105, type, topolo6943815403480290642id_add: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_106, type, real_V7773925162809079976_field: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_107, type, ring_15535105094025558882visors: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_108, type, cancel2418104881723323429up_add: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_109, type, linord5086331880401160121up_add: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_110, type, ordere6911136660526730532id_add: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_111, type, real_V4867850818363320053vector: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_112, type, archim2362893244070406136eiling: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_113, type, ordere166539214618696060dd_abs: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_114, type, ordere6658533253407199908up_add: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_115, type, topolo1287966508704411220up_add: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_116, type, real_V7819770556892013058_space: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_117, type, semiri3467727345109120633visors: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_118, type, boolea8198339166811842893lgebra: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_119, type, linord8928482502909563296strict: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_120, type, topolo8386298272705272623_space: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_121, type, topolo7287701948861334536_space: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_122, type, topolo4211221413907600880p_mult: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_123, type, real_V8037385150606011577_space: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_124, type, real_V2191834092415804123ebra_1: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_125, type, linord181362715937106298miring: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_126, type, semiri2026040879449505780visors: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_127, type, topolo2564578578187576103pology: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_128, type, bit_ri3973907225187159222ations: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_129, type, comple6319245703460814977attice: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_130, type, linord4140545234300271783up_add: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_131, type, topolo5987344860129210374id_add: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_132, type, unboun7993243217541854897norder: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_133, type, linord715952674999750819strict: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_134, type, archim462609752435547400_field: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_135, type, comple5582772986160207858norder: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_136, type, real_V5047593784448816457lgebra: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_137, type, bounde4346867609351753570nf_top: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_138, type, bounde4967611905675639751up_bot: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_139, type, real_V3459762299906320749_field: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_140, type, topolo8865339358273720382pology: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_141, type, topolo1944317154257567458pology: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_142, type, topolo4958980785337419405_space: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_143, type, euclid3725896446679973847miring: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_144, type, canoni5634975068530333245id_add: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_145, type, ordere8940638589300402666id_add: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_146, type, strict7427464778891057005id_add: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_147, type, real_V822414075346904944vector: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_148, type, linord2810124833399127020strict: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_149, type, bit_se359711467146920520ations: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_150, type, ordere2412721322843649153imp_le: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_151, type, ordere580206878836729694up_add: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_152, type, ordere1170586879665033532d_diff: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_153, type, strict9044650504122735259up_add: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_154, type, real_V5355595471888546746vector: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_155, type, real_V4412858255891104859lgebra: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_156, type, semiri6575147826004484403cancel: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_157, type, euclid8851590272496341667cancel: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_158, type, real_V2822296259951069270ebra_1: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_159, type, unique1627219031080169319umeral: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_160, type, comple592849572758109894attice: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_161, type, real_V8999393235501362500lgebra: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_162, type, topolo3112930676232923870pology: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_163, type, euclid4440199948858584721cancel: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_164, type, euclid3128863361964157862miring: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_165, type, topolo8458572112393995274pology: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_166, type, ordere1937475149494474687imp_le: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_167, type, condit5016429287641298734tinuum: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_168, type, euclid5411537665997757685th_nat: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_169, type, counta3822494911875563373attice: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_170, type, semiri1453513574482234551roduct: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_171, type, bit_un5681908812861735899ations: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_172, type, condit1219197933456340205attice: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_173, type, counta4013691401010221786attice: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_174, type, condit6923001295902523014norder: !>[X0: $tType]:($o)).
% 16.09/6.41 thf(func_def_175, type, archimedean_ceiling: !>[X0: $tType]:((X0 > int))).
% 16.09/6.41 thf(func_def_176, type, archim6421214686448440834_floor: !>[X0: $tType]:((X0 > int))).
% 16.09/6.41 thf(func_def_177, type, archimedean_frac: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.41 thf(func_def_178, type, archimedean_round: !>[X0: $tType]:((X0 > int))).
% 16.09/6.41 thf(func_def_179, type, bNF_Ca6860139660246222851ard_of: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0))).
% 16.09/6.41 thf(func_def_180, type, bNF_Ca8970107618336181345der_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 16.09/6.41 thf(func_def_181, type, bNF_Ca8665028551170535155natLeq: set @ product_prod @ nat @ nat).
% 16.09/6.41 thf(func_def_182, type, bNF_Ca8459412986667044542atLess: set @ product_prod @ nat @ nat).
% 16.09/6.41 thf(func_def_183, type, bNF_Ca3754400796208372196lChain: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X1) > $o))).
% 16.09/6.41 thf(func_def_184, type, bNF_Gr: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > set @ product_prod @ X0 @ X1))).
% 16.09/6.41 thf(func_def_185, type, bNF_rel_fun: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1 > $o) > (X2 > X3 > $o) > (X0 > X2) > (X1 > X3) > $o))).
% 16.09/6.41 thf(func_def_186, type, bNF_Wellorder_Func: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > set @ (X0 > X1)))).
% 16.09/6.41 thf(func_def_187, type, bNF_We4925052301507509544nc_map: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((set @ X0 > (X1 > X2) > (X0 > X3) > (X3 > X1) > X0 > X2))).
% 16.09/6.41 thf(func_def_188, type, bNF_Wellorder_bsqr: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ product_prod @ X0 @ X0 @ product_prod @ X0 @ X0))).
% 16.09/6.41 thf(func_def_189, type, bNF_We413866401316099525erIncl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ set @ X0 @ set @ X0))).
% 16.09/6.41 thf(func_def_190, type, bNF_Wellorder_ordLeq: !>[X0: $tType, X1: $tType]:(set @ product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X1 @ X1)).
% 16.09/6.41 thf(func_def_191, type, bNF_We4044943003108391690rdLess: !>[X0: $tType, X1: $tType]:(set @ product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X1 @ X1)).
% 16.09/6.41 thf(func_def_192, type, bNF_We8469521843155493636filter: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0 > set @ X0))).
% 16.09/6.41 thf(func_def_193, type, bNF_Wellorder_compat: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > (X0 > X1) > $o))).
% 16.09/6.41 thf(func_def_194, type, bNF_Wellorder_embed: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > (X0 > X1) > $o))).
% 16.09/6.41 thf(func_def_195, type, bNF_Wellorder_embedS: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > (X0 > X1) > $o))).
% 16.09/6.41 thf(func_def_196, type, bNF_Wellorder_iso: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > (X0 > X1) > $o))).
% 16.09/6.41 thf(func_def_197, type, bNF_Wellorder_wo_rel: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 16.09/6.41 thf(func_def_198, type, bNF_We4791949203932849705sMinim: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > X0 > $o))).
% 16.09/6.41 thf(func_def_199, type, bNF_We1388413361240627857o_max2: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 16.09/6.41 thf(func_def_200, type, bNF_We6954850376910717587_minim: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > X0))).
% 16.09/6.41 thf(func_def_201, type, basic_BNF_size_prod: !>[X0: $tType, X1: $tType]:(((X0 > nat) > (X1 > nat) > product_prod @ X0 @ X1 > nat))).
% 16.09/6.41 thf(func_def_202, type, binomial: (nat > nat > nat)).
% 16.09/6.41 thf(func_def_203, type, gbinomial: !>[X0: $tType]:((X0 > nat > X0))).
% 16.09/6.41 thf(func_def_204, type, bit_and_int_rel: (product_prod @ int @ int > product_prod @ int @ int > $o)).
% 16.09/6.41 thf(func_def_205, type, bit_concat_bit: (nat > int > int > int)).
% 16.09/6.41 thf(func_def_206, type, bit_ri4277139882892585799ns_not: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.41 thf(func_def_207, type, bit_ri4674362597316999326ke_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 16.09/6.41 thf(func_def_208, type, bit_se5824344872417868541ns_and: !>[X0: $tType]:((X0 > X0 > X0))).
% 16.09/6.41 thf(func_def_209, type, bit_se4197421643247451524op_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 16.09/6.41 thf(func_def_210, type, bit_se8732182000553998342ip_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 16.09/6.41 thf(func_def_211, type, bit_se2239418461657761734s_mask: !>[X0: $tType]:((nat > X0))).
% 16.09/6.41 thf(func_def_212, type, bit_se1065995026697491101ons_or: !>[X0: $tType]:((X0 > X0 > X0))).
% 16.09/6.41 thf(func_def_213, type, bit_se4730199178511100633sh_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 16.09/6.41 thf(func_def_214, type, bit_se5668285175392031749et_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 16.09/6.41 thf(func_def_215, type, bit_se2584673776208193580ke_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 16.09/6.41 thf(func_def_216, type, bit_se2638667681897837118et_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 16.09/6.41 thf(func_def_217, type, bit_se5824344971392196577ns_xor: !>[X0: $tType]:((X0 > X0 > X0))).
% 16.09/6.41 thf(func_def_218, type, bit_se5641148757651400278ts_bit: !>[X0: $tType]:((X0 > nat > $o))).
% 16.09/6.41 thf(func_def_219, type, bit_se6407376104438227557le_bit: !>[X0: $tType]:((itself @ X0 > nat > $o))).
% 16.09/6.41 thf(func_def_220, type, bit_take_bit_num: (nat > num > option @ num)).
% 16.09/6.41 thf(func_def_221, type, bit_un7362597486090784418nd_num: (num > num > option @ num)).
% 16.09/6.41 thf(func_def_222, type, bit_un2480387367778600638or_num: (num > num > option @ num)).
% 16.09/6.41 thf(func_def_223, type, boolea2506097494486148201lgebra: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > (X0 > X0) > X0 > X0 > $o))).
% 16.09/6.41 thf(func_def_224, type, boolea3799213064322606851m_diff: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > (X0 > X0) > X0 > X0 > (X0 > X0 > X0) > $o))).
% 16.09/6.41 thf(func_def_225, type, complete_Inf_Inf: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.41 thf(func_def_226, type, complete_Sup_Sup: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.41 thf(func_def_227, type, comple1908693960933563346ssible: !>[X0: $tType]:(((set @ X0 > X0) > (X0 > X0 > $o) > (X0 > $o) > $o))).
% 16.09/6.41 thf(func_def_228, type, comple115746919287870866o_fixp: !>[X0: $tType]:(((X0 > X0) > X0))).
% 16.09/6.41 thf(func_def_229, type, comple7512665784863727008ratesp: !>[X0: $tType]:(((X0 > X0) > X0 > $o))).
% 16.09/6.41 thf(func_def_230, type, comple1602240252501008431_chain: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 16.09/6.41 thf(func_def_231, type, comple7038119648293358887notone: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X1 > $o) > (X0 > X1) > $o))).
% 16.09/6.41 thf(func_def_232, type, arg: (complex > real)).
% 16.09/6.41 thf(func_def_233, type, cis: (real > complex)).
% 16.09/6.41 thf(func_def_234, type, condit941137186595557371_above: !>[X0: $tType]:((set @ X0 > $o))).
% 16.09/6.41 thf(func_def_235, type, condit1013018076250108175_below: !>[X0: $tType]:((set @ X0 > $o))).
% 16.09/6.41 thf(func_def_236, type, countable_countable: !>[X0: $tType]:((set @ X0 > $o))).
% 16.09/6.41 thf(func_def_237, type, counta4804993851260445106t_into: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 16.09/6.41 thf(func_def_238, type, countable_to_nat_on: !>[X0: $tType]:((set @ X0 > X0 > nat))).
% 16.09/6.41 thf(func_def_239, type, differentiable: !>[X0: $tType, X1: $tType]:(((X0 > X1) > filter @ X0 > $o))).
% 16.09/6.41 thf(func_def_240, type, has_derivative: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > filter @ X0 > $o))).
% 16.09/6.41 thf(func_def_241, type, has_field_derivative: !>[X0: $tType]:(((X0 > X0) > X0 > filter @ X0 > $o))).
% 16.09/6.41 thf(func_def_242, type, has_ve8173657378732805170vative: !>[X0: $tType]:(((real > X0) > X0 > filter @ real > $o))).
% 16.09/6.41 thf(func_def_243, type, divmod_nat: (nat > nat > product_prod @ nat @ nat)).
% 16.09/6.41 thf(func_def_244, type, unique5940410009612947441es_aux: !>[X0: $tType]:((product_prod @ X0 @ X0 > $o))).
% 16.09/6.41 thf(func_def_245, type, unique8689654367752047608divmod: !>[X0: $tType]:((num > num > product_prod @ X0 @ X0))).
% 16.09/6.41 thf(func_def_246, type, unique1321980374590559556d_step: !>[X0: $tType]:((num > product_prod @ X0 @ X0 > product_prod @ X0 @ X0))).
% 16.09/6.41 thf(func_def_247, type, equiv_congruent: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X1) > $o))).
% 16.09/6.41 thf(func_def_248, type, equiv_congruent2: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > (X0 > X1 > X2) > $o))).
% 16.09/6.41 thf(func_def_249, type, equiv_equiv: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 16.09/6.41 thf(func_def_250, type, equiv_proj: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > X0 > set @ X1))).
% 16.09/6.41 thf(func_def_251, type, equiv_quotient: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > set @ set @ X0))).
% 16.09/6.41 thf(func_def_252, type, euclid6346220572633701492n_size: !>[X0: $tType]:((X0 > nat))).
% 16.09/6.41 thf(func_def_253, type, euclid7384307370059645450egment: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.41 thf(func_def_254, type, extended_eSuc: (extended_enat > extended_enat)).
% 16.09/6.41 thf(func_def_255, type, extended_enat2: (nat > extended_enat)).
% 16.09/6.41 thf(func_def_256, type, extended_case_enat: !>[X0: $tType]:(((nat > X0) > X0 > extended_enat > X0))).
% 16.09/6.41 thf(func_def_257, type, extend4730790105801354508finity: !>[X0: $tType]:(X0)).
% 16.09/6.41 thf(func_def_258, type, comm_s3205402744901411588hammer: !>[X0: $tType]:((X0 > nat > X0))).
% 16.09/6.41 thf(func_def_259, type, semiring_char_0_fact: !>[X0: $tType]:((nat > X0))).
% 16.09/6.41 thf(func_def_260, type, inverse_inverse: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.41 thf(func_def_261, type, at_bot: !>[X0: $tType]:(filter @ X0)).
% 16.09/6.41 thf(func_def_262, type, at_top: !>[X0: $tType]:(filter @ X0)).
% 16.09/6.41 thf(func_def_263, type, eventually: !>[X0: $tType]:(((X0 > $o) > filter @ X0 > $o))).
% 16.09/6.41 thf(func_def_264, type, filtercomap: !>[X0: $tType, X1: $tType]:(((X0 > X1) > filter @ X1 > filter @ X0))).
% 16.09/6.41 thf(func_def_265, type, filterlim: !>[X0: $tType, X1: $tType]:(((X0 > X1) > filter @ X1 > filter @ X0 > $o))).
% 16.09/6.41 thf(func_def_266, type, filtermap: !>[X0: $tType, X1: $tType]:(((X0 > X1) > filter @ X0 > filter @ X1))).
% 16.09/6.41 thf(func_def_267, type, finite5375528669736107172at_top: !>[X0: $tType]:((set @ X0 > filter @ set @ X0))).
% 16.09/6.41 thf(func_def_268, type, map_filter_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > filter @ X0 > filter @ X1))).
% 16.09/6.41 thf(func_def_269, type, principal: !>[X0: $tType]:((set @ X0 > filter @ X0))).
% 16.09/6.41 thf(func_def_270, type, prod_filter: !>[X0: $tType, X1: $tType]:((filter @ X0 > filter @ X1 > filter @ product_prod @ X0 @ X1))).
% 16.09/6.41 thf(func_def_271, type, finite_Fpow: !>[X0: $tType]:((set @ X0 > set @ set @ X0))).
% 16.09/6.41 thf(func_def_272, type, finite_card: !>[X0: $tType]:((set @ X0 > nat))).
% 16.09/6.41 thf(func_def_273, type, finite6289374366891150609ommute: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > $o))).
% 16.09/6.41 thf(func_def_274, type, finite4664212375090638736ute_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1 > X1) > $o))).
% 16.09/6.41 thf(func_def_275, type, finite673082921795544331dem_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1 > X1) > $o))).
% 16.09/6.41 thf(func_def_276, type, finite4980608107308702382axioms: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1 > X1) > $o))).
% 16.09/6.41 thf(func_def_277, type, finite_finite2: !>[X0: $tType]:((set @ X0 > $o))).
% 16.09/6.41 thf(func_def_278, type, finite_fold: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > X1 > set @ X0 > X1))).
% 16.09/6.41 thf(func_def_279, type, finite_fold_graph: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > X1 > set @ X0 > X1 > $o))).
% 16.09/6.41 thf(func_def_280, type, finite_folding_idem: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > $o))).
% 16.09/6.41 thf(func_def_281, type, finite1890593828518410140dem_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1 > X1) > $o))).
% 16.09/6.41 thf(func_def_282, type, finite6916993218817215295axioms: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1 > X1) > $o))).
% 16.09/6.41 thf(func_def_283, type, finite_folding_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1 > X1) > $o))).
% 16.09/6.41 thf(func_def_284, type, finite_folding_F: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > X1 > set @ X0 > X1))).
% 16.09/6.41 thf(func_def_285, type, bij_betw: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1 > $o))).
% 16.09/6.41 thf(func_def_286, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > X2 > X1))).
% 16.09/6.41 thf(func_def_287, type, fun_upd: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > X1 > X0 > X1))).
% 16.09/6.41 thf(func_def_288, type, id: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.41 thf(func_def_289, type, inj_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > $o))).
% 16.09/6.41 thf(func_def_290, type, map_fun: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > (X1 > X2) > X0 > X3))).
% 16.09/6.41 thf(func_def_291, type, strict_mono_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > $o))).
% 16.09/6.41 thf(func_def_292, type, the_inv_into: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X1 > X0))).
% 16.09/6.41 thf(func_def_293, type, fun_is_measure: !>[X0: $tType]:(((X0 > nat) > $o))).
% 16.09/6.41 thf(func_def_294, type, fun_pair_leq: set @ product_prod @ product_prod @ nat @ nat @ product_prod @ nat @ nat).
% 16.09/6.41 thf(func_def_295, type, fun_pair_less: set @ product_prod @ product_prod @ nat @ nat @ product_prod @ nat @ nat).
% 16.09/6.41 thf(func_def_296, type, gcd_Gcd: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.41 thf(func_def_297, type, bezw: (nat > nat > product_prod @ int @ int)).
% 16.09/6.41 thf(func_def_298, type, bezw_rel: (product_prod @ nat @ nat > product_prod @ nat @ nat > $o)).
% 16.09/6.41 thf(func_def_299, type, semiri4206861660011772517g_char: !>[X0: $tType]:((itself @ X0 > nat))).
% 16.09/6.41 thf(func_def_300, type, semiring_gcd_Gcd_fin: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.41 thf(func_def_301, type, abs_abs: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.41 thf(func_def_302, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 16.09/6.41 thf(func_def_303, type, one_one: !>[X0: $tType]:(X0)).
% 16.09/6.41 thf(func_def_304, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 16.09/6.41 thf(func_def_305, type, sgn_sgn: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.41 thf(func_def_306, type, times_times: !>[X0: $tType]:((X0 > X0 > X0))).
% 16.09/6.41 thf(func_def_307, type, uminus_uminus: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.41 thf(func_def_308, type, zero_zero: !>[X0: $tType]:(X0)).
% 16.09/6.41 thf(func_def_309, type, groups7311177749621191930dd_sum: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 16.09/6.41 thf(func_def_310, type, groups1027152243600224163dd_sum: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 16.09/6.41 thf(func_def_311, type, groups7121269368397514597t_prod: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 16.09/6.41 thf(func_def_312, type, groups1962203154675924110t_prod: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 16.09/6.41 thf(func_def_313, type, groups4207007520872428315er_sum: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1 > list @ X0 > X1))).
% 16.09/6.41 thf(func_def_314, type, groups8242544230860333062m_list: !>[X0: $tType]:((list @ X0 > X0))).
% 16.09/6.41 thf(func_def_315, type, groups5270119922927024881d_list: !>[X0: $tType]:((list @ X0 > X0))).
% 16.09/6.41 thf(func_def_316, type, nO_MATCH: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o))).
% 16.09/6.41 thf(func_def_317, type, the: !>[X0: $tType]:(((X0 > $o) > X0))).
% 16.09/6.41 thf(func_def_318, type, undefined: !>[X0: $tType]:(X0)).
% 16.09/6.41 thf(func_def_319, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 16.09/6.41 thf(func_def_320, type, complete_lattice_lfp: !>[X0: $tType]:(((X0 > X0) > X0))).
% 16.09/6.41 thf(func_def_321, type, infini527867602293511546merate: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 16.09/6.41 thf(func_def_322, type, abs_Integ: (product_prod @ nat @ nat > int)).
% 16.09/6.41 thf(func_def_323, type, rep_Integ: (int > product_prod @ nat @ nat)).
% 16.09/6.41 thf(func_def_324, type, int_ge_less_than: (int > set @ product_prod @ int @ int)).
% 16.09/6.41 thf(func_def_325, type, int_ge_less_than2: (int > set @ product_prod @ int @ int)).
% 16.09/6.41 thf(func_def_326, type, intrel: (product_prod @ nat @ nat > product_prod @ nat @ nat > $o)).
% 16.09/6.41 thf(func_def_327, type, nat2: (int > nat)).
% 16.09/6.41 thf(func_def_328, type, pcr_int: (product_prod @ nat @ nat > int > $o)).
% 16.09/6.41 thf(func_def_329, type, power_int: !>[X0: $tType]:((X0 > int > X0))).
% 16.09/6.41 thf(func_def_330, type, ring_1_Ints: !>[X0: $tType]:(set @ X0)).
% 16.09/6.41 thf(func_def_331, type, ring_1_of_int: !>[X0: $tType]:((int > X0))).
% 16.09/6.41 thf(func_def_332, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 16.09/6.41 thf(func_def_333, type, semila1105856199041335345_order: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > (X0 > X0 > $o) > (X0 > X0 > $o) > $o))).
% 16.09/6.41 thf(func_def_334, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 16.09/6.41 thf(func_def_335, type, lattices_Max: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0))).
% 16.09/6.41 thf(func_def_336, type, lattices_Min: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0))).
% 16.09/6.41 thf(func_def_337, type, lattic643756798349783984er_Max: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.41 thf(func_def_338, type, lattic643756798350308766er_Min: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.41 thf(func_def_339, type, lattices_ord_arg_min: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > X0))).
% 16.09/6.41 thf(func_def_340, type, lattic7623131987881927897min_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 16.09/6.41 thf(func_def_341, type, lattic501386751177426532rg_min: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > X0 > $o))).
% 16.09/6.41 thf(func_def_342, type, lattic7752659483105999362nf_fin: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.41 thf(func_def_343, type, lattic4895041142388067077er_set: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > $o) > (X0 > X0 > $o) > $o))).
% 16.09/6.41 thf(func_def_344, type, lattic5882676163264333800up_fin: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.41 thf(func_def_345, type, bfun: !>[X0: $tType, X1: $tType]:(((X0 > X1) > filter @ X0 > $o))).
% 16.09/6.41 thf(func_def_346, type, at_infinity: !>[X0: $tType]:(filter @ X0)).
% 16.09/6.41 thf(func_def_347, type, bleast: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 16.09/6.41 thf(func_def_348, type, abort_Bleast: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 16.09/6.41 thf(func_def_349, type, append: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 16.09/6.41 thf(func_def_350, type, arg_min_list: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > X0))).
% 16.09/6.41 thf(func_def_351, type, arg_min_list_rel: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > product_prod @ (X0 > X1) @ list @ X0 > $o))).
% 16.09/6.41 thf(func_def_352, type, bind: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > list @ X1) > list @ X1))).
% 16.09/6.41 thf(func_def_353, type, butlast: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 16.09/6.41 thf(func_def_354, type, can_select: !>[X0: $tType]:(((X0 > $o) > set @ X0 > $o))).
% 16.09/6.41 thf(func_def_355, type, concat: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 16.09/6.41 thf(func_def_356, type, coset: !>[X0: $tType]:((list @ X0 > set @ X0))).
% 16.09/6.41 thf(func_def_357, type, count_list: !>[X0: $tType]:((list @ X0 > X0 > nat))).
% 16.09/6.41 thf(func_def_358, type, distinct: !>[X0: $tType]:((list @ X0 > $o))).
% 16.09/6.41 thf(func_def_359, type, distinct_adj: !>[X0: $tType]:((list @ X0 > $o))).
% 16.09/6.41 thf(func_def_360, type, drop: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 16.09/6.41 thf(func_def_361, type, dropWhile: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 16.09/6.41 thf(func_def_362, type, enumerate: !>[X0: $tType]:((nat > list @ X0 > list @ product_prod @ nat @ X0))).
% 16.09/6.41 thf(func_def_363, type, extract: !>[X0: $tType]:(((X0 > $o) > list @ X0 > option @ product_prod @ list @ X0 @ product_prod @ X0 @ list @ X0))).
% 16.09/6.41 thf(func_def_364, type, filter2: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 16.09/6.41 thf(func_def_365, type, find: !>[X0: $tType]:(((X0 > $o) > list @ X0 > option @ X0))).
% 16.09/6.41 thf(func_def_366, type, fold: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > list @ X0 > X1 > X1))).
% 16.09/6.41 thf(func_def_367, type, folding_insort_key: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > set @ X1 > (X1 > X0) > $o))).
% 16.09/6.41 thf(func_def_368, type, foldl: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X0) > X0 > list @ X1 > X0))).
% 16.09/6.41 thf(func_def_369, type, foldr: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > list @ X0 > X1 > X1))).
% 16.09/6.41 thf(func_def_370, type, gen_length: !>[X0: $tType]:((nat > list @ X0 > nat))).
% 16.09/6.41 thf(func_def_371, type, insert: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 16.09/6.41 thf(func_def_372, type, last: !>[X0: $tType]:((list @ X0 > X0))).
% 16.09/6.41 thf(func_def_373, type, lenlex: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 16.09/6.41 thf(func_def_374, type, lex: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 16.09/6.41 thf(func_def_375, type, lexn: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > set @ product_prod @ list @ X0 @ list @ X0))).
% 16.09/6.41 thf(func_def_376, type, lexord: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 16.09/6.41 thf(func_def_377, type, lexordp: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 16.09/6.41 thf(func_def_378, type, insort_key: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > X1 > list @ X1 > list @ X1))).
% 16.09/6.41 thf(func_def_379, type, sorted8670434370408473282of_set: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > set @ X1 > list @ X1))).
% 16.09/6.41 thf(func_def_380, type, linord329482645794927042rt_key: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > list @ X0 > list @ X0))).
% 16.09/6.41 thf(func_def_381, type, linorder_insort_key: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > list @ X0 > list @ X0))).
% 16.09/6.41 thf(func_def_382, type, linorder_sort_key: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X0))).
% 16.09/6.41 thf(func_def_383, type, linord144544945434240204of_set: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > list @ X0))).
% 16.09/6.41 thf(func_def_384, type, linord4507533701916653071of_set: !>[X0: $tType]:((set @ X0 > list @ X0))).
% 16.09/6.41 thf(func_def_385, type, linord3483353639454293061rt_key: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X0) > $o))).
% 16.09/6.41 thf(func_def_386, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 16.09/6.41 thf(func_def_387, type, nil: !>[X0: $tType]:(list @ X0)).
% 16.09/6.41 thf(func_def_388, type, case_list: !>[X0: $tType, X1: $tType]:((X0 > (X1 > list @ X1 > X0) > list @ X1 > X0))).
% 16.09/6.41 thf(func_def_389, type, hd: !>[X0: $tType]:((list @ X0 > X0))).
% 16.09/6.41 thf(func_def_390, type, list_all: !>[X0: $tType]:(((X0 > $o) > list @ X0 > $o))).
% 16.09/6.41 thf(func_def_391, type, list_all2: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > $o))).
% 16.09/6.41 thf(func_def_392, type, map: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1))).
% 16.09/6.41 thf(func_def_393, type, rec_list: !>[X0: $tType, X1: $tType]:((X0 > (X1 > list @ X1 > X0 > X0) > list @ X1 > X0))).
% 16.09/6.41 thf(func_def_394, type, set2: !>[X0: $tType]:((list @ X0 > set @ X0))).
% 16.09/6.41 thf(func_def_395, type, size_list: !>[X0: $tType]:(((X0 > nat) > list @ X0 > nat))).
% 16.09/6.41 thf(func_def_396, type, tl: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 16.09/6.41 thf(func_def_397, type, list_ex: !>[X0: $tType]:(((X0 > $o) > list @ X0 > $o))).
% 16.09/6.41 thf(func_def_398, type, list_ex1: !>[X0: $tType]:(((X0 > $o) > list @ X0 > $o))).
% 16.09/6.41 thf(func_def_399, type, list_update: !>[X0: $tType]:((list @ X0 > nat > X0 > list @ X0))).
% 16.09/6.41 thf(func_def_400, type, listrel: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ list @ X0 @ list @ X1))).
% 16.09/6.41 thf(func_def_401, type, listrel1: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 16.09/6.41 thf(func_def_402, type, listrel1p: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 16.09/6.41 thf(func_def_403, type, listrelp: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > $o))).
% 16.09/6.41 thf(func_def_404, type, lists: !>[X0: $tType]:((set @ X0 > set @ list @ X0))).
% 16.09/6.41 thf(func_def_405, type, listset: !>[X0: $tType]:((list @ set @ X0 > set @ list @ X0))).
% 16.09/6.41 thf(func_def_406, type, map_filter: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > list @ X0 > list @ X1))).
% 16.09/6.41 thf(func_def_407, type, map_project: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ X0 > set @ X1))).
% 16.09/6.41 thf(func_def_408, type, map_tailrec: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1))).
% 16.09/6.41 thf(func_def_409, type, map_tailrec_rev: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1 > list @ X1))).
% 16.09/6.41 thf(func_def_410, type, maps: !>[X0: $tType, X1: $tType]:(((X0 > list @ X1) > list @ X0 > list @ X1))).
% 16.09/6.41 thf(func_def_411, type, measures: !>[X0: $tType]:((list @ (X0 > nat) > set @ product_prod @ X0 @ X0))).
% 16.09/6.41 thf(func_def_412, type, min_list: !>[X0: $tType]:((list @ X0 > X0))).
% 16.09/6.41 thf(func_def_413, type, min_list_rel: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 16.09/6.41 thf(func_def_414, type, n_lists: !>[X0: $tType]:((nat > list @ X0 > list @ list @ X0))).
% 16.09/6.41 thf(func_def_415, type, nth: !>[X0: $tType]:((list @ X0 > nat > X0))).
% 16.09/6.41 thf(func_def_416, type, nths: !>[X0: $tType]:((list @ X0 > set @ nat > list @ X0))).
% 16.09/6.41 thf(func_def_417, type, null: !>[X0: $tType]:((list @ X0 > $o))).
% 16.09/6.41 thf(func_def_418, type, lexordp2: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 16.09/6.41 thf(func_def_419, type, ord_lexordp: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 16.09/6.41 thf(func_def_420, type, partition: !>[X0: $tType]:(((X0 > $o) > list @ X0 > product_prod @ list @ X0 @ list @ X0))).
% 16.09/6.41 thf(func_def_421, type, product: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > list @ product_prod @ X0 @ X1))).
% 16.09/6.41 thf(func_def_422, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 16.09/6.41 thf(func_def_423, type, remdups: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 16.09/6.41 thf(func_def_424, type, remdups_adj: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 16.09/6.41 thf(func_def_425, type, remdups_adj_rel: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 16.09/6.41 thf(func_def_426, type, remove1: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 16.09/6.41 thf(func_def_427, type, removeAll: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 16.09/6.41 thf(func_def_428, type, replicate: !>[X0: $tType]:((nat > X0 > list @ X0))).
% 16.09/6.41 thf(func_def_429, type, rev: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 16.09/6.41 thf(func_def_430, type, rotate: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 16.09/6.41 thf(func_def_431, type, rotate1: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 16.09/6.41 thf(func_def_432, type, set_Cons: !>[X0: $tType]:((set @ X0 > set @ list @ X0 > set @ list @ X0))).
% 16.09/6.41 thf(func_def_433, type, shuffles: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ list @ X0))).
% 16.09/6.41 thf(func_def_434, type, shuffles_rel: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > product_prod @ list @ X0 @ list @ X0 > $o))).
% 16.09/6.41 thf(func_def_435, type, sorted_wrt: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o))).
% 16.09/6.41 thf(func_def_436, type, sorted_wrt_rel: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > product_prod @ (X0 > X0 > $o) @ list @ X0 > $o))).
% 16.09/6.41 thf(func_def_437, type, splice: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 16.09/6.41 thf(func_def_438, type, splice_rel: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > product_prod @ list @ X0 @ list @ X0 > $o))).
% 16.09/6.41 thf(func_def_439, type, subseqs: !>[X0: $tType]:((list @ X0 > list @ list @ X0))).
% 16.09/6.41 thf(func_def_440, type, successively: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o))).
% 16.09/6.41 thf(func_def_441, type, successively_rel: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > product_prod @ (X0 > X0 > $o) @ list @ X0 > $o))).
% 16.09/6.41 thf(func_def_442, type, take: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 16.09/6.41 thf(func_def_443, type, takeWhile: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 16.09/6.41 thf(func_def_444, type, transpose: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 16.09/6.41 thf(func_def_445, type, transpose_rel: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > $o))).
% 16.09/6.41 thf(func_def_446, type, union: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 16.09/6.41 thf(func_def_447, type, upt: (nat > nat > list @ nat)).
% 16.09/6.41 thf(func_def_448, type, upto: (int > int > list @ int)).
% 16.09/6.41 thf(func_def_449, type, upto_aux: (int > int > list @ int > list @ int)).
% 16.09/6.41 thf(func_def_450, type, upto_rel: (product_prod @ int @ int > product_prod @ int @ int > $o)).
% 16.09/6.41 thf(func_def_451, type, zip: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > list @ product_prod @ X0 @ X1))).
% 16.09/6.41 thf(func_def_452, type, dom: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ X0))).
% 16.09/6.41 thf(func_def_453, type, graph: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ product_prod @ X0 @ X1))).
% 16.09/6.41 thf(func_def_454, type, map_add: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > (X0 > option @ X1) > X0 > option @ X1))).
% 16.09/6.41 thf(func_def_455, type, map_of: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X0 @ X1 > X0 > option @ X1))).
% 16.09/6.41 thf(func_def_456, type, map_upds: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > list @ X0 > list @ X1 > X0 > option @ X1))).
% 16.09/6.41 thf(func_def_457, type, ran: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ X1))).
% 16.09/6.41 thf(func_def_458, type, restrict_map: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ X0 > X0 > option @ X1))).
% 16.09/6.41 thf(func_def_459, type, suc: (nat > nat)).
% 16.09/6.41 thf(func_def_460, type, compow: !>[X0: $tType]:((nat > X0 > X0))).
% 16.09/6.41 thf(func_def_461, type, funpow: !>[X0: $tType]:((nat > (X0 > X0) > X0 > X0))).
% 16.09/6.41 thf(func_def_462, type, case_nat: !>[X0: $tType]:((X0 > (nat > X0) > nat > X0))).
% 16.09/6.41 thf(func_def_463, type, pred: (nat > nat)).
% 16.09/6.41 thf(func_def_464, type, rec_nat: !>[X0: $tType]:((X0 > (nat > X0 > X0) > nat > X0))).
% 16.09/6.41 thf(func_def_465, type, rec_set_nat: !>[X0: $tType]:((X0 > (nat > X0 > X0) > nat > X0 > $o))).
% 16.09/6.41 thf(func_def_466, type, semiring_1_Nats: !>[X0: $tType]:(set @ X0)).
% 16.09/6.41 thf(func_def_467, type, semiring_1_of_nat: !>[X0: $tType]:((nat > X0))).
% 16.09/6.41 thf(func_def_468, type, semiri8178284476397505188at_aux: !>[X0: $tType]:(((X0 > X0) > nat > X0 > X0))).
% 16.09/6.41 thf(func_def_469, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 16.09/6.41 thf(func_def_470, type, nat_list_decode: (nat > list @ nat)).
% 16.09/6.41 thf(func_def_471, type, nat_list_decode_rel: (nat > nat > $o)).
% 16.09/6.41 thf(func_def_472, type, nat_list_encode: (list @ nat > nat)).
% 16.09/6.41 thf(func_def_473, type, nat_list_encode_rel: (list @ nat > list @ nat > $o)).
% 16.09/6.41 thf(func_def_474, type, nat_prod_decode: (nat > product_prod @ nat @ nat)).
% 16.09/6.41 thf(func_def_475, type, nat_prod_decode_aux: (nat > nat > product_prod @ nat @ nat)).
% 16.09/6.41 thf(func_def_476, type, nat_pr5047031295181774490ux_rel: (product_prod @ nat @ nat > product_prod @ nat @ nat > $o)).
% 16.09/6.41 thf(func_def_477, type, nat_prod_encode: (product_prod @ nat @ nat > nat)).
% 16.09/6.41 thf(func_def_478, type, nat_set_decode: (nat > set @ nat)).
% 16.09/6.41 thf(func_def_479, type, nat_set_encode: (set @ nat > nat)).
% 16.09/6.41 thf(func_def_480, type, nat_triangle: (nat > nat)).
% 16.09/6.41 thf(func_def_481, type, root: (nat > real > real)).
% 16.09/6.41 thf(func_def_482, type, inc: (num > num)).
% 16.09/6.41 thf(func_def_483, type, neg_numeral_dbl_dec: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.41 thf(func_def_484, type, neg_numeral_dbl_inc: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.41 thf(func_def_485, type, neg_numeral_sub: !>[X0: $tType]:((num > num > X0))).
% 16.09/6.41 thf(func_def_486, type, bit0: (num > num)).
% 16.09/6.41 thf(func_def_487, type, bit1: (num > num)).
% 16.09/6.41 thf(func_def_488, type, one2: num).
% 16.09/6.41 thf(func_def_489, type, size_num: (num > nat)).
% 16.09/6.41 thf(func_def_490, type, num_of_nat: (nat > num)).
% 16.09/6.41 thf(func_def_491, type, numeral_numeral: !>[X0: $tType]:((num > X0))).
% 16.09/6.41 thf(func_def_492, type, pow: (num > num > num)).
% 16.09/6.41 thf(func_def_493, type, pred_numeral: (num > nat)).
% 16.09/6.41 thf(func_def_494, type, none: !>[X0: $tType]:(option @ X0)).
% 16.09/6.41 thf(func_def_495, type, some: !>[X0: $tType]:((X0 > option @ X0))).
% 16.09/6.41 thf(func_def_496, type, case_option: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > option @ X1 > X0))).
% 16.09/6.41 thf(func_def_497, type, size_option: !>[X0: $tType]:(((X0 > nat) > option @ X0 > nat))).
% 16.09/6.41 thf(func_def_498, type, the2: !>[X0: $tType]:((option @ X0 > X0))).
% 16.09/6.41 thf(func_def_499, type, order_532582986084564980_cclfp: !>[X0: $tType]:(((X0 > X0) > X0))).
% 16.09/6.41 thf(func_def_500, type, order_sup_continuous: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 16.09/6.41 thf(func_def_501, type, order_aboveS: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ X0))).
% 16.09/6.41 thf(func_def_502, type, order_679001287576687338der_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 16.09/6.41 thf(func_def_503, type, order_ofilter: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > $o))).
% 16.09/6.41 thf(func_def_504, type, order_7125193373082350890der_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 16.09/6.41 thf(func_def_505, type, order_preorder_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 16.09/6.41 thf(func_def_506, type, order_under: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ X0))).
% 16.09/6.41 thf(func_def_507, type, order_underS: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ X0))).
% 16.09/6.41 thf(func_def_508, type, order_well_order_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 16.09/6.41 thf(func_def_509, type, bot_bot: !>[X0: $tType]:(X0)).
% 16.09/6.41 thf(func_def_510, type, least: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > $o) > X0))).
% 16.09/6.41 thf(func_def_511, type, max: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > X0))).
% 16.09/6.41 thf(func_def_512, type, min: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > X0))).
% 16.09/6.41 thf(func_def_513, type, ord_Least: !>[X0: $tType]:(((X0 > $o) > X0))).
% 16.09/6.41 thf(func_def_514, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 16.09/6.41 thf(func_def_515, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 16.09/6.41 thf(func_def_516, type, ord_max: !>[X0: $tType]:((X0 > X0 > X0))).
% 16.09/6.41 thf(func_def_517, type, ord_min: !>[X0: $tType]:((X0 > X0 > X0))).
% 16.09/6.41 thf(func_def_518, type, order_Greatest: !>[X0: $tType]:(((X0 > $o) > X0))).
% 16.09/6.41 thf(func_def_519, type, order_antimono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 16.09/6.41 thf(func_def_520, type, order_mono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 16.09/6.41 thf(func_def_521, type, order_strict_mono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 16.09/6.41 thf(func_def_522, type, ordering_top: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > X0 > $o))).
% 16.09/6.41 thf(func_def_523, type, top_top: !>[X0: $tType]:(X0)).
% 16.09/6.41 thf(func_def_524, type, partial_flat_lub: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 16.09/6.41 thf(func_def_525, type, partial_fun_ord: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X2 > X0) > (X2 > X1) > $o))).
% 16.09/6.41 thf(func_def_526, type, power2: !>[X0: $tType]:((X0 > (X0 > X0 > X0) > X0 > nat > X0))).
% 16.09/6.41 thf(func_def_527, type, power_power: !>[X0: $tType]:((X0 > nat > X0))).
% 16.09/6.41 thf(func_def_528, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 16.09/6.41 thf(func_def_529, type, product_Sigma: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > set @ product_prod @ X0 @ X1))).
% 16.09/6.41 thf(func_def_530, type, product_case_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 16.09/6.41 thf(func_def_531, type, product_fst: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 16.09/6.41 thf(func_def_532, type, product_snd: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 16.09/6.41 thf(func_def_533, type, product_product: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > set @ product_prod @ X0 @ X1))).
% 16.09/6.41 thf(func_def_534, type, type2: !>[X0: $tType]:(itself @ X0)).
% 16.09/6.41 thf(func_def_535, type, field_char_0_Rats: !>[X0: $tType]:(set @ X0)).
% 16.09/6.41 thf(func_def_536, type, real_V2442710119149674383linear: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > $o))).
% 16.09/6.41 thf(func_def_537, type, real_V3181309239436604168linear: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 16.09/6.41 thf(func_def_538, type, real_V4425403222259421789struct: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X0 > X1))).
% 16.09/6.41 thf(func_def_539, type, real_V358717886546972837endent: !>[X0: $tType]:((set @ X0 > $o))).
% 16.09/6.41 thf(func_def_540, type, real_Vector_dim: !>[X0: $tType]:((set @ X0 > nat))).
% 16.09/6.41 thf(func_def_541, type, real_V557655796197034286t_dist: !>[X0: $tType]:((X0 > X0 > real))).
% 16.09/6.41 thf(func_def_542, type, real_V4986007116245087402_basis: !>[X0: $tType]:((set @ X0 > set @ X0))).
% 16.09/6.41 thf(func_def_543, type, real_Vector_linear: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 16.09/6.41 thf(func_def_544, type, real_V7770717601297561774m_norm: !>[X0: $tType]:((X0 > real))).
% 16.09/6.41 thf(func_def_545, type, real_Vector_of_real: !>[X0: $tType]:((real > X0))).
% 16.09/6.41 thf(func_def_546, type, real_V7696804695334737415tation: !>[X0: $tType]:((set @ X0 > X0 > X0 > real))).
% 16.09/6.41 thf(func_def_547, type, real_V8093663219630862766scaleR: !>[X0: $tType]:((real > X0 > X0))).
% 16.09/6.41 thf(func_def_548, type, real_Vector_span: !>[X0: $tType]:((set @ X0 > set @ X0))).
% 16.09/6.41 thf(func_def_549, type, real_Vector_subspace: !>[X0: $tType]:((set @ X0 > $o))).
% 16.09/6.41 thf(func_def_550, type, field2: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0))).
% 16.09/6.41 thf(func_def_551, type, id2: !>[X0: $tType]:(set @ product_prod @ X0 @ X0)).
% 16.09/6.41 thf(func_def_552, type, id_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0))).
% 16.09/6.41 thf(func_def_553, type, image: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ X0 > set @ X1))).
% 16.09/6.41 thf(func_def_554, type, antisym: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 16.09/6.41 thf(func_def_555, type, converse: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ X1 @ X0))).
% 16.09/6.41 thf(func_def_556, type, inv_image: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X1 > X0) > set @ product_prod @ X1 @ X1))).
% 16.09/6.41 thf(func_def_557, type, irrefl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 16.09/6.41 thf(func_def_558, type, refl_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 16.09/6.41 thf(func_def_559, type, relcomp: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ X1 @ X2 > set @ product_prod @ X0 @ X2))).
% 16.09/6.41 thf(func_def_560, type, single_valued: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > $o))).
% 16.09/6.41 thf(func_def_561, type, total_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 16.09/6.41 thf(func_def_562, type, trans: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 16.09/6.41 thf(func_def_563, type, transp: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 16.09/6.41 thf(func_def_564, type, algebr8660921524188924756oprime: !>[X0: $tType]:((X0 > X0 > $o))).
% 16.09/6.41 thf(func_def_565, type, divide_divide: !>[X0: $tType]:((X0 > X0 > X0))).
% 16.09/6.41 thf(func_def_566, type, dvd_dvd: !>[X0: $tType]:((X0 > X0 > $o))).
% 16.09/6.41 thf(func_def_567, type, modulo_modulo: !>[X0: $tType]:((X0 > X0 > X0))).
% 16.09/6.41 thf(func_def_568, type, zero_neq_one_of_bool: !>[X0: $tType]:(($o > X0))).
% 16.09/6.41 thf(func_def_569, type, suminf: !>[X0: $tType]:(((nat > X0) > X0))).
% 16.09/6.41 thf(func_def_570, type, summable: !>[X0: $tType]:(((nat > X0) > $o))).
% 16.09/6.41 thf(func_def_571, type, sums: !>[X0: $tType]:(((nat > X0) > X0 > $o))).
% 16.09/6.41 thf(func_def_572, type, ball: !>[X0: $tType]:((set @ X0 > (X0 > $o) > $o))).
% 16.09/6.41 thf(func_def_573, type, bex: !>[X0: $tType]:((set @ X0 > (X0 > $o) > $o))).
% 16.09/6.41 thf(func_def_574, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 16.09/6.41 thf(func_def_575, type, pow2: !>[X0: $tType]:((set @ X0 > set @ set @ X0))).
% 16.09/6.41 thf(func_def_576, type, disjnt: !>[X0: $tType]:((set @ X0 > set @ X0 > $o))).
% 16.09/6.41 thf(func_def_577, type, filter3: !>[X0: $tType]:(((X0 > $o) > set @ X0 > set @ X0))).
% 16.09/6.41 thf(func_def_578, type, image2: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1))).
% 16.09/6.41 thf(func_def_579, type, insert2: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 16.09/6.41 thf(func_def_580, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 16.09/6.41 thf(func_def_581, type, is_singleton: !>[X0: $tType]:((set @ X0 > $o))).
% 16.09/6.41 thf(func_def_582, type, pairwise: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 16.09/6.41 thf(func_def_583, type, remove: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 16.09/6.41 thf(func_def_584, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.41 thf(func_def_585, type, vimage: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X1 > set @ X0))).
% 16.09/6.41 thf(func_def_586, type, set_fo6178422350223883121st_nat: !>[X0: $tType]:(((nat > X0 > X0) > nat > nat > X0 > X0))).
% 16.09/6.41 thf(func_def_587, type, set_fo1817059534552279752at_rel: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > $o))).
% 16.09/6.41 thf(func_def_588, type, set_ord_atLeast: !>[X0: $tType]:((X0 > set @ X0))).
% 16.09/6.41 thf(func_def_589, type, set_or1337092689740270186AtMost: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 16.09/6.41 thf(func_def_590, type, set_or7035219750837199246ssThan: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 16.09/6.41 thf(func_def_591, type, set_ord_atMost: !>[X0: $tType]:((X0 > set @ X0))).
% 16.09/6.41 thf(func_def_592, type, set_ord_greaterThan: !>[X0: $tType]:((X0 > set @ X0))).
% 16.09/6.41 thf(func_def_593, type, set_or3652927894154168847AtMost: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 16.09/6.41 thf(func_def_594, type, set_or5935395276787703475ssThan: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 16.09/6.41 thf(func_def_595, type, set_ord_lessThan: !>[X0: $tType]:((X0 > set @ X0))).
% 16.09/6.41 thf(func_def_596, type, comm_s6883823935334413003f_char: !>[X0: $tType]:((char > X0))).
% 16.09/6.41 thf(func_def_597, type, unique5772411509450598832har_of: !>[X0: $tType]:((X0 > char))).
% 16.09/6.41 thf(func_def_598, type, sum_Plus: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > set @ sum_sum @ X0 @ X1))).
% 16.09/6.41 thf(func_def_599, type, topolo3448309680560233919inuous: !>[X0: $tType, X1: $tType]:((filter @ X0 > (X0 > X1) > $o))).
% 16.09/6.41 thf(func_def_600, type, topolo81223032696312382ous_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > $o))).
% 16.09/6.41 thf(func_def_601, type, topological_monoseq: !>[X0: $tType]:(((nat > X0) > $o))).
% 16.09/6.41 thf(func_def_602, type, topolo1002775350975398744n_open: !>[X0: $tType]:((set @ X0 > $o))).
% 16.09/6.41 thf(func_def_603, type, topolo3827282254853284352ce_Lim: !>[X0: $tType, X1: $tType]:((filter @ X0 > (X0 > X1) > X1))).
% 16.09/6.41 thf(func_def_604, type, topolo174197925503356063within: !>[X0: $tType]:((X0 > set @ X0 > filter @ X0))).
% 16.09/6.41 thf(func_def_605, type, topolo7761053866217962861closed: !>[X0: $tType]:((set @ X0 > $o))).
% 16.09/6.41 thf(func_def_606, type, topolo2193935891317330818ompact: !>[X0: $tType]:((set @ X0 > $o))).
% 16.09/6.41 thf(func_def_607, type, topolo1966860045006549960nected: !>[X0: $tType]:((set @ X0 > $o))).
% 16.09/6.41 thf(func_def_608, type, topolo7230453075368039082e_nhds: !>[X0: $tType]:((X0 > filter @ X0))).
% 16.09/6.41 thf(func_def_609, type, topolo3814608138187158403Cauchy: !>[X0: $tType]:(((nat > X0) > $o))).
% 16.09/6.41 thf(func_def_610, type, topolo6773858410816713723filter: !>[X0: $tType]:((filter @ X0 > $o))).
% 16.09/6.41 thf(func_def_611, type, topolo2479028161051973599mplete: !>[X0: $tType]:((set @ X0 > $o))).
% 16.09/6.41 thf(func_def_612, type, topolo6688025880775521714ounded: !>[X0: $tType]:((set @ X0 > $o))).
% 16.09/6.41 thf(func_def_613, type, topolo7806501430040627800ormity: !>[X0: $tType]:(filter @ product_prod @ X0 @ X0)).
% 16.09/6.41 thf(func_def_614, type, arcosh: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.41 thf(func_def_615, type, arctan: (real > real)).
% 16.09/6.41 thf(func_def_616, type, arsinh: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.41 thf(func_def_617, type, artanh: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.41 thf(func_def_618, type, cos: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.41 thf(func_def_619, type, cos_coeff: (nat > real)).
% 16.09/6.41 thf(func_def_620, type, cosh: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.41 thf(func_def_621, type, cot: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.41 thf(func_def_622, type, diffs: !>[X0: $tType]:(((nat > X0) > nat > X0))).
% 16.09/6.41 thf(func_def_623, type, exp: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.41 thf(func_def_624, type, ln_ln: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.41 thf(func_def_625, type, log: (real > real > real)).
% 16.09/6.41 thf(func_def_626, type, pi: real).
% 16.09/6.41 thf(func_def_627, type, powr: !>[X0: $tType]:((X0 > X0 > X0))).
% 16.09/6.41 thf(func_def_628, type, sin: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.41 thf(func_def_629, type, sin_coeff: (nat > real)).
% 16.09/6.41 thf(func_def_630, type, sinh: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.41 thf(func_def_631, type, tan: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.41 thf(func_def_632, type, tanh: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.41 thf(func_def_633, type, bi_total: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 16.09/6.41 thf(func_def_634, type, transitive_ntrancl: !>[X0: $tType]:((nat > set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 16.09/6.41 thf(func_def_635, type, transitive_rtrancl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 16.09/6.41 thf(func_def_636, type, transitive_trancl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 16.09/6.41 thf(func_def_637, type, vEBT_Leaf: ($o > $o > vEBT_VEBT)).
% 16.09/6.41 thf(func_def_638, type, vEBT_Node: (option @ product_prod @ nat @ nat > nat > list @ vEBT_VEBT > vEBT_VEBT > vEBT_VEBT)).
% 16.09/6.41 thf(func_def_639, type, vEBT_size_VEBT: (vEBT_VEBT > nat)).
% 16.09/6.41 thf(func_def_640, type, vEBT_V8194947554948674370ptions: (vEBT_VEBT > nat > $o)).
% 16.09/6.41 thf(func_def_641, type, vEBT_VEBT_elim_dead: (vEBT_VEBT > extended_enat > vEBT_VEBT)).
% 16.09/6.41 thf(func_def_642, type, vEBT_VEBT_high: (nat > nat > nat)).
% 16.09/6.41 thf(func_def_643, type, vEBT_V5917875025757280293ildren: (nat > list @ vEBT_VEBT > nat > $o)).
% 16.09/6.41 thf(func_def_644, type, vEBT_VEBT_low: (nat > nat > nat)).
% 16.09/6.41 thf(func_def_645, type, vEBT_VEBT_membermima: (vEBT_VEBT > nat > $o)).
% 16.09/6.41 thf(func_def_646, type, vEBT_V4351362008482014158ma_rel: (product_prod @ vEBT_VEBT @ nat > product_prod @ vEBT_VEBT @ nat > $o)).
% 16.09/6.41 thf(func_def_647, type, vEBT_V5719532721284313246member: (vEBT_VEBT > nat > $o)).
% 16.09/6.41 thf(func_def_648, type, vEBT_V5765760719290551771er_rel: (product_prod @ vEBT_VEBT @ nat > product_prod @ vEBT_VEBT @ nat > $o)).
% 16.09/6.41 thf(func_def_649, type, vEBT_VEBT_valid: (vEBT_VEBT > nat > $o)).
% 16.09/6.41 thf(func_def_650, type, vEBT_VEBT_valid_rel: (product_prod @ vEBT_VEBT @ nat > product_prod @ vEBT_VEBT @ nat > $o)).
% 16.09/6.41 thf(func_def_651, type, vEBT_invar_vebt: (vEBT_VEBT > nat > $o)).
% 16.09/6.41 thf(func_def_652, type, vEBT_set_vebt: (vEBT_VEBT > set @ nat)).
% 16.09/6.41 thf(func_def_653, type, vEBT_vebt_buildup: (nat > vEBT_VEBT)).
% 16.09/6.41 thf(func_def_654, type, vEBT_v4011308405150292612up_rel: (nat > nat > $o)).
% 16.09/6.41 thf(func_def_655, type, vEBT_vebt_insert: (vEBT_VEBT > nat > vEBT_VEBT)).
% 16.09/6.41 thf(func_def_656, type, vEBT_vebt_insert_rel: (product_prod @ vEBT_VEBT @ nat > product_prod @ vEBT_VEBT @ nat > $o)).
% 16.09/6.41 thf(func_def_657, type, vEBT_VEBT_bit_concat: (nat > nat > nat > nat)).
% 16.09/6.41 thf(func_def_658, type, vEBT_VEBT_minNull: (vEBT_VEBT > $o)).
% 16.09/6.41 thf(func_def_659, type, vEBT_VEBT_set_vebt: (vEBT_VEBT > set @ nat)).
% 16.09/6.41 thf(func_def_660, type, vEBT_vebt_member: (vEBT_VEBT > nat > $o)).
% 16.09/6.41 thf(func_def_661, type, vEBT_vebt_member_rel: (product_prod @ vEBT_VEBT @ nat > product_prod @ vEBT_VEBT @ nat > $o)).
% 16.09/6.41 thf(func_def_662, type, accp: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > $o))).
% 16.09/6.41 thf(func_def_663, type, finite_psubset: !>[X0: $tType]:(set @ product_prod @ set @ X0 @ set @ X0)).
% 16.09/6.41 thf(func_def_664, type, less_than: set @ product_prod @ nat @ nat).
% 16.09/6.41 thf(func_def_665, type, max_ext: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ set @ X0 @ set @ X0))).
% 16.09/6.41 thf(func_def_666, type, max_extp: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > set @ X0 > $o))).
% 16.09/6.41 thf(func_def_667, type, measure: !>[X0: $tType]:(((X0 > nat) > set @ product_prod @ X0 @ X0))).
% 16.09/6.41 thf(func_def_668, type, min_ext: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ set @ X0 @ set @ X0))).
% 16.09/6.41 thf(func_def_669, type, mlex_prod: !>[X0: $tType]:(((X0 > nat) > set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 16.09/6.41 thf(func_def_670, type, pred_nat: set @ product_prod @ nat @ nat).
% 16.09/6.41 thf(func_def_671, type, wf: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 16.09/6.41 thf(func_def_672, type, chain_subset: !>[X0: $tType]:((set @ set @ X0 > $o))).
% 16.09/6.41 thf(func_def_673, type, chains: !>[X0: $tType]:((set @ set @ X0 > set @ set @ set @ X0))).
% 16.09/6.41 thf(func_def_674, type, pred_chain: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > set @ X0 > $o))).
% 16.09/6.41 thf(func_def_675, type, pred_maxchain: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > set @ X0 > $o))).
% 16.09/6.41 thf(func_def_676, type, pred_suc: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > set @ X0 > set @ X0))).
% 16.09/6.41 thf(func_def_677, type, fChoice: !>[X0: $tType]:(((X0 > $o) > X0))).
% 16.09/6.41 thf(func_def_678, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 16.09/6.41 thf(func_def_679, type, deg: nat).
% 16.09/6.41 thf(func_def_680, type, i: nat).
% 16.09/6.41 thf(func_def_681, type, m: nat).
% 16.09/6.41 thf(func_def_682, type, ma: nat).
% 16.09/6.41 thf(func_def_683, type, mi: nat).
% 16.09/6.41 thf(func_def_684, type, na: nat).
% 16.09/6.41 thf(func_def_685, type, summary: vEBT_VEBT).
% 16.09/6.41 thf(func_def_686, type, treeList: list @ vEBT_VEBT).
% 16.09/6.41 thf(func_def_687, type, xa: nat).
% 16.09/6.41 thf(func_def_689, type, vNOT: ($o > $o)).
% 16.09/6.41 thf(func_def_692, type, db0: !>[X0: $tType]:(X0)).
% 16.09/6.41 thf(func_def_693, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 16.09/6.41 thf(func_def_694, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 16.09/6.41 thf(func_def_695, type, vAND: ($o > $o > $o)).
% 16.09/6.41 thf(func_def_696, type, db4: !>[X0: $tType]:(X0)).
% 16.09/6.41 thf(func_def_697, type, db1: !>[X0: $tType]:(X0)).
% 16.09/6.41 thf(func_def_698, type, db3: !>[X0: $tType]:(X0)).
% 16.09/6.41 thf(func_def_699, type, db2: !>[X0: $tType]:(X0)).
% 16.09/6.41 thf(func_def_700, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 16.09/6.41 thf(func_def_701, type, vOR: ($o > $o > $o)).
% 16.09/6.41 thf(func_def_702, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 16.09/6.41 thf(func_def_703, type, vIMP: ($o > $o > $o)).
% 16.09/6.41 thf(func_def_704, type, db5: !>[X0: $tType]:(X0)).
% 16.09/6.41 thf(func_def_705, type, db7: !>[X0: $tType]:(X0)).
% 16.09/6.41 thf(func_def_706, type, db6: !>[X0: $tType]:(X0)).
% 16.09/6.41 thf(func_def_707, type, db8: !>[X0: $tType]:(X0)).
% 16.09/6.41 thf(func_def_708, type, db9: !>[X0: $tType]:(X0)).
% 16.09/6.41 thf(func_def_709, type, sP0: (nat > nat > list @ vEBT_VEBT > nat > nat > $o)).
% 16.09/6.41 thf(func_def_710, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 16.09/6.41 thf(func_def_711, type, sP2: (vEBT_VEBT > nat > $o)).
% 16.09/6.41 thf(func_def_712, type, sP3: (nat > $o > vEBT_VEBT > $o)).
% 16.09/6.41 thf(func_def_713, type, sP4: ($o > nat > vEBT_VEBT > $o)).
% 16.09/6.41 thf(func_def_714, type, sP5: (vEBT_VEBT > vEBT_VEBT > nat > $o)).
% 16.09/6.41 thf(func_def_715, type, sP6: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > set @ X0 > set @ X0 > $o))).
% 16.09/6.41 thf(func_def_716, type, sP7: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X0 > X1) > (X1 > X0) > $o))).
% 16.09/6.41 thf(func_def_717, type, sP8: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X1 > set @ X1 > set @ X0 > set @ X0 > $o))).
% 16.09/6.41 thf(func_def_718, type, sP9: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > set @ X0 > set @ X0 > $o))).
% 16.09/6.41 thf(func_def_719, type, sP10: (list @ vEBT_VEBT > nat > nat > nat > nat > $o)).
% 16.09/6.41 thf(func_def_720, type, sP11: (nat > vEBT_VEBT > $o)).
% 16.09/6.41 thf(func_def_721, type, sP12: (nat > vEBT_VEBT > $o)).
% 16.09/6.41 thf(func_def_722, type, sP13: (vEBT_VEBT > nat > $o)).
% 16.09/6.41 thf(func_def_723, type, sK14: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > set @ X0 > X0))).
% 16.09/6.41 thf(func_def_724, type, sK15: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > (X0 > X1) > X0))).
% 16.09/6.41 thf(func_def_725, type, sK16: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 16.09/6.41 thf(func_def_726, type, sK17: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 16.09/6.41 thf(func_def_727, type, sK18: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 16.09/6.41 thf(func_def_728, type, sK19: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 16.09/6.41 thf(func_def_729, type, sK20: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > X0))).
% 16.09/6.41 thf(func_def_730, type, sK21: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_731, type, sK22: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_732, type, sK23: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > (X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_733, type, sK24: (int > nat)).
% 16.09/6.42 thf(func_def_734, type, sK25: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_735, type, sK26: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > (X1 > X0 > $o) > product_prod @ X1 @ X0))).
% 16.09/6.42 thf(func_def_736, type, sK27: !>[X0: $tType]:((list @ X0 > X0))).
% 16.09/6.42 thf(func_def_737, type, sK28: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_738, type, sK29: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_739, type, sK30: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_740, type, sK31: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_741, type, sK32: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_742, type, sK33: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_743, type, sK34: !>[X0: $tType]:(((nat > X0) > (nat > X0) > nat))).
% 16.09/6.42 thf(func_def_744, type, sK35: !>[X0: $tType]:((list @ X0 > X0 > X0))).
% 16.09/6.42 thf(func_def_745, type, sK36: (nat > nat > list @ vEBT_VEBT > nat > nat > nat)).
% 16.09/6.42 thf(func_def_746, type, sK37: (nat > nat > list @ vEBT_VEBT > nat > nat > nat)).
% 16.09/6.42 thf(func_def_747, type, sK38: (nat > vEBT_VEBT > list @ vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_748, type, sK39: (nat > vEBT_VEBT > list @ vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_749, type, sK40: (nat > list @ vEBT_VEBT > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_750, type, sK41: (list @ vEBT_VEBT > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_751, type, sK42: (list @ vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_752, type, sK43: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_753, type, sK44: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_754, type, sK45: !>[X0: $tType]:(((X0 > nat) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_755, type, sK46: !>[X0: $tType]:((X0 > (X0 > nat) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_756, type, sK47: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.42 thf(func_def_757, type, sK48: !>[X0: $tType]:((list @ X0 > X0))).
% 16.09/6.42 thf(func_def_758, type, sK49: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_759, type, sK50: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_760, type, sK51: !>[X0: $tType]:((set @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_761, type, sK52: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 16.09/6.42 thf(func_def_762, type, sK53: !>[X0: $tType]:((set @ set @ X0 > set @ X0 > set @ set @ X0))).
% 16.09/6.42 thf(func_def_763, type, sK54: !>[X0: $tType]:((set @ set @ X0 > set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_764, type, sK55: ((nat > $o) > nat)).
% 16.09/6.42 thf(func_def_765, type, sK56: !>[X0: $tType]:((X0 > (nat > X0) > nat > nat))).
% 16.09/6.42 thf(func_def_766, type, sK57: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_767, type, sK58: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_768, type, sK59: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_769, type, sK60: (nat > nat > nat > nat)).
% 16.09/6.42 thf(func_def_770, type, sK61: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_771, type, sK62: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.42 thf(func_def_772, type, sK63: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > X1))).
% 16.09/6.42 thf(func_def_773, type, sK64: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > X0))).
% 16.09/6.42 thf(func_def_774, type, sK65: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > list @ X1))).
% 16.09/6.42 thf(func_def_775, type, sK66: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > list @ X0))).
% 16.09/6.42 thf(func_def_776, type, sK67: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_777, type, sK68: (nat > (nat > $o) > nat > nat)).
% 16.09/6.42 thf(func_def_778, type, sK69: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_779, type, sK70: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_780, type, sK71: ((nat > nat > $o) > nat)).
% 16.09/6.42 thf(func_def_781, type, sK72: ((nat > nat > $o) > nat)).
% 16.09/6.42 thf(func_def_782, type, sK73: ((nat > nat > $o) > nat)).
% 16.09/6.42 thf(func_def_783, type, sK74: ((nat > nat > $o) > nat)).
% 16.09/6.42 thf(func_def_784, type, sK75: !>[X0: $tType]:(((nat > X0) > nat))).
% 16.09/6.42 thf(func_def_785, type, sK76: (real > nat > real)).
% 16.09/6.42 thf(func_def_786, type, sK77: !>[X0: $tType]:(((nat > set @ X0) > nat > (nat > set @ X0) > nat))).
% 16.09/6.42 thf(func_def_787, type, sK78: !>[X0: $tType]:(((X0 > X0) > list @ X0 > X0))).
% 16.09/6.42 thf(func_def_788, type, sK79: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_789, type, sK80: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_790, type, sK81: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_791, type, sK82: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_792, type, sK83: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > (X1 > X0) > set @ X1))).
% 16.09/6.42 thf(func_def_793, type, sK84: !>[X0: $tType]:((nat > set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_794, type, sK85: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_795, type, sK86: !>[X0: $tType, X1: $tType]:((set @ X0 > filter @ X1 > (X1 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_796, type, sK87: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_797, type, sK88: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_798, type, sK89: !>[X0: $tType, X1: $tType]:((list @ X1 > (X0 > X1) > list @ X0 > X1 > X0))).
% 16.09/6.42 thf(func_def_799, type, sK90: !>[X0: $tType, X1: $tType]:((list @ X1 > (X0 > X1) > list @ X0 > X1 > list @ X0))).
% 16.09/6.42 thf(func_def_800, type, sK91: !>[X0: $tType]:((X0 > X0 > X0))).
% 16.09/6.42 thf(func_def_801, type, sK92: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > X0))).
% 16.09/6.42 thf(func_def_802, type, sK93: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > X0))).
% 16.09/6.42 thf(func_def_803, type, sK94: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > X0))).
% 16.09/6.42 thf(func_def_804, type, sK95: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.42 thf(func_def_805, type, sK96: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 16.09/6.42 thf(func_def_806, type, sK97: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 16.09/6.42 thf(func_def_807, type, sK98: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_808, type, sK99: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 16.09/6.42 thf(func_def_809, type, sK100: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_810, type, sK101: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 16.09/6.42 thf(func_def_811, type, sK102: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 16.09/6.42 thf(func_def_812, type, sK103: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 16.09/6.42 thf(func_def_813, type, sK104: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_814, type, sK105: (nat > set @ nat > nat)).
% 16.09/6.42 thf(func_def_815, type, sK106: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o > X0))).
% 16.09/6.42 thf(func_def_816, type, sK107: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o > list @ X0))).
% 16.09/6.42 thf(func_def_817, type, sK108: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o > X0))).
% 16.09/6.42 thf(func_def_818, type, sK109: (real > nat)).
% 16.09/6.42 thf(func_def_819, type, sK110: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_820, type, sK111: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > $o) > X0 > list @ X0))).
% 16.09/6.42 thf(func_def_821, type, sK112: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > $o) > X0 > list @ X0))).
% 16.09/6.42 thf(func_def_822, type, sK113: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_823, type, sK114: !>[X0: $tType]:(((X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_824, type, sK115: !>[X0: $tType]:((nat > (nat > set @ X0) > (nat > set @ X0) > nat))).
% 16.09/6.42 thf(func_def_825, type, sK116: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.42 thf(func_def_826, type, sK117: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 16.09/6.42 thf(func_def_827, type, sK118: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 16.09/6.42 thf(func_def_828, type, sK119: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_829, type, sK120: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_830, type, sK121: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_831, type, sK122: !>[X0: $tType]:(((X0 > nat) > set @ X0 > (X0 > nat) > X0))).
% 16.09/6.42 thf(func_def_832, type, sK123: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_833, type, sK124: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 16.09/6.42 thf(func_def_834, type, sK125: ((nat > $o) > nat)).
% 16.09/6.42 thf(func_def_835, type, sK126: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > list @ X0 > X0))).
% 16.09/6.42 thf(func_def_836, type, sK127: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_837, type, sK128: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_838, type, sK129: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_839, type, sK130: (int > nat)).
% 16.09/6.42 thf(func_def_840, type, sK131: (int > nat)).
% 16.09/6.42 thf(func_def_841, type, sK132: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_842, type, sK133: ((nat > nat) > nat)).
% 16.09/6.42 thf(func_def_843, type, sK134: ((nat > nat) > nat)).
% 16.09/6.42 thf(func_def_844, type, sK135: !>[X0: $tType]:(((X0 > nat) > (X0 > nat) > X0))).
% 16.09/6.42 thf(func_def_845, type, sK136: !>[X0: $tType, X1: $tType]:((set @ X0 > X1 > (X0 > X1) > X1))).
% 16.09/6.42 thf(func_def_846, type, sK137: !>[X0: $tType, X1: $tType]:((set @ X0 > X1 > (X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_847, type, sK138: ((real > $o) > real)).
% 16.09/6.42 thf(func_def_848, type, sK139: ((real > $o) > real)).
% 16.09/6.42 thf(func_def_849, type, sK140: ((real > $o) > nat)).
% 16.09/6.42 thf(func_def_850, type, sK141: !>[X0: $tType, X1: $tType]:((X1 > set @ X0 > (X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_851, type, sK142: !>[X0: $tType]:((list @ X0 > X0 > X0))).
% 16.09/6.42 thf(func_def_852, type, sK143: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 16.09/6.42 thf(func_def_853, type, sK144: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 16.09/6.42 thf(func_def_854, type, sK145: (set @ nat > nat > nat)).
% 16.09/6.42 thf(func_def_855, type, sK146: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > X0))).
% 16.09/6.42 thf(func_def_856, type, sK147: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_857, type, sK148: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > X0))).
% 16.09/6.42 thf(func_def_858, type, sK149: (nat > nat > nat)).
% 16.09/6.42 thf(func_def_859, type, sK150: ((nat > $o) > nat > nat)).
% 16.09/6.42 thf(func_def_860, type, sK151: ((nat > $o) > nat > nat > nat)).
% 16.09/6.42 thf(func_def_861, type, sK152: ((nat > $o) > nat > nat > nat)).
% 16.09/6.42 thf(func_def_862, type, sK153: !>[X0: $tType]:((X0 > list @ X0 > X0))).
% 16.09/6.42 thf(func_def_863, type, sK154: (nat > nat > nat)).
% 16.09/6.42 thf(func_def_864, type, sK155: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > X0))).
% 16.09/6.42 thf(func_def_865, type, sK156: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 16.09/6.42 thf(func_def_866, type, sK157: ((nat > $o) > nat)).
% 16.09/6.42 thf(func_def_867, type, sK158: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_868, type, sK159: (nat > set @ nat > nat)).
% 16.09/6.42 thf(func_def_869, type, sK160: (set @ nat > nat)).
% 16.09/6.42 thf(func_def_870, type, sK161: ((nat > $o) > nat)).
% 16.09/6.42 thf(func_def_871, type, sK162: (nat > nat > (nat > $o) > nat)).
% 16.09/6.42 thf(func_def_872, type, sK163: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_873, type, sK164: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 16.09/6.42 thf(func_def_874, type, sK165: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_875, type, sK166: ((nat > $o) > nat > nat)).
% 16.09/6.42 thf(func_def_876, type, sK167: ((nat > $o) > nat > nat)).
% 16.09/6.42 thf(func_def_877, type, sK168: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_878, type, sK169: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_879, type, sK170: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > set @ X1) > (X1 > X2) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_880, type, sK171: (nat > nat)).
% 16.09/6.42 thf(func_def_881, type, sK172: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_882, type, sK173: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_883, type, sK174: !>[X0: $tType]:((X0 > nat > (X0 > X0 > $o) > X0 > X0))).
% 16.09/6.42 thf(func_def_884, type, sK175: !>[X0: $tType]:((X0 > nat > (X0 > X0 > $o) > X0 > nat))).
% 16.09/6.42 thf(func_def_885, type, sK176: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_886, type, sK177: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > (X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_887, type, sK178: (vEBT_VEBT > nat > nat)).
% 16.09/6.42 thf(func_def_888, type, sK179: (vEBT_VEBT > nat > nat)).
% 16.09/6.42 thf(func_def_889, type, sK180: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_890, type, sK181: (vEBT_VEBT > nat > nat)).
% 16.09/6.42 thf(func_def_891, type, sK182: (vEBT_VEBT > nat > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_892, type, sK183: (vEBT_VEBT > nat > $o)).
% 16.09/6.42 thf(func_def_893, type, sK184: (vEBT_VEBT > nat > $o)).
% 16.09/6.42 thf(func_def_894, type, sK185: (vEBT_VEBT > product_prod @ nat @ nat)).
% 16.09/6.42 thf(func_def_895, type, sK186: (vEBT_VEBT > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_896, type, sK187: (vEBT_VEBT > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_897, type, sK188: (vEBT_VEBT > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_898, type, sK189: (vEBT_VEBT > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_899, type, sK190: (vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_900, type, sK191: (vEBT_VEBT > product_prod @ nat @ nat)).
% 16.09/6.42 thf(func_def_901, type, sK192: (vEBT_VEBT > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_902, type, sK193: (vEBT_VEBT > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_903, type, sK194: (nat > (nat > $o) > nat)).
% 16.09/6.42 thf(func_def_904, type, sK195: (nat > (nat > $o) > nat)).
% 16.09/6.42 thf(func_def_905, type, sK196: !>[X0: $tType]:(((nat > X0) > nat))).
% 16.09/6.42 thf(func_def_906, type, sK197: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_907, type, sK198: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_908, type, sK199: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_909, type, sK200: ((int > $o) > int > int)).
% 16.09/6.42 thf(func_def_910, type, sK201: !>[X0: $tType, X1: $tType]:((X0 > list @ X0 > list @ X1 > X1))).
% 16.09/6.42 thf(func_def_911, type, sK202: (nat > (nat > $o) > nat)).
% 16.09/6.42 thf(func_def_912, type, sK203: (nat > (nat > $o) > nat)).
% 16.09/6.42 thf(func_def_913, type, sK204: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > (X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_914, type, sK205: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_915, type, sK206: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_916, type, sK207: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_917, type, sK208: !>[X0: $tType]:((set @ X0 > (X0 > $o) > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_918, type, sK209: !>[X0: $tType]:((list @ X0 > nat))).
% 16.09/6.42 thf(func_def_919, type, sK210: !>[X0: $tType]:((list @ X0 > nat))).
% 16.09/6.42 thf(func_def_920, type, sK211: !>[X0: $tType, X1: $tType]:((set @ X1 > (set @ X0 > $o) > (X1 > X0) > set @ X0))).
% 16.09/6.42 thf(func_def_921, type, sK212: !>[X0: $tType, X1: $tType]:((set @ X1 > (set @ X0 > $o) > (X1 > X0) > set @ X1))).
% 16.09/6.42 thf(func_def_922, type, sK213: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 16.09/6.42 thf(func_def_923, type, sK214: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 16.09/6.42 thf(func_def_924, type, sK215: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > list @ X0 > X0))).
% 16.09/6.42 thf(func_def_925, type, sK216: !>[X0: $tType, X1: $tType]:(((set @ X1 > $o) > set @ X0 > (X0 > X1) > set @ X0))).
% 16.09/6.42 thf(func_def_926, type, sK217: !>[X0: $tType, X1: $tType]:(((set @ X1 > $o) > set @ X0 > (X0 > X1) > set @ X1))).
% 16.09/6.42 thf(func_def_927, type, sK218: (int > nat)).
% 16.09/6.42 thf(func_def_928, type, sK219: (int > set @ int > int)).
% 16.09/6.42 thf(func_def_929, type, sK220: (set @ int > int)).
% 16.09/6.42 thf(func_def_930, type, sK221: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_931, type, sK222: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 16.09/6.42 thf(func_def_932, type, sK223: (int > nat)).
% 16.09/6.42 thf(func_def_933, type, sK224: (int > nat)).
% 16.09/6.42 thf(func_def_934, type, sK225: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_935, type, sK226: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_936, type, sK227: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_937, type, sK228: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_938, type, sK229: ($o > nat > vEBT_VEBT > $o)).
% 16.09/6.42 thf(func_def_939, type, sK230: ($o > nat > vEBT_VEBT > $o)).
% 16.09/6.42 thf(func_def_940, type, sK231: (nat > $o > vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_941, type, sK232: (nat > $o > vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_942, type, sK233: (nat > $o > vEBT_VEBT > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_943, type, sK234: (nat > $o > vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_944, type, sK235: (nat > $o > vEBT_VEBT > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_945, type, sK236: (vEBT_VEBT > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_946, type, sK237: (vEBT_VEBT > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_947, type, sK238: (vEBT_VEBT > product_prod @ nat @ nat)).
% 16.09/6.42 thf(func_def_948, type, sK239: (vEBT_VEBT > product_prod @ nat @ nat)).
% 16.09/6.42 thf(func_def_949, type, sK240: (vEBT_VEBT > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_950, type, sK241: (vEBT_VEBT > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_951, type, sK242: (vEBT_VEBT > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_952, type, sK243: (vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_953, type, sK244: (vEBT_VEBT > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_954, type, sK245: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_955, type, sK246: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_956, type, sK247: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_957, type, sK248: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ X1 > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_958, type, sK249: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ X1 > set @ X0 > X1))).
% 16.09/6.42 thf(func_def_959, type, sK250: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_960, type, sK251: !>[X0: $tType]:((X0 > X0 > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_961, type, sK252: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_962, type, sK253: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0) > set @ X1 > (X1 > X0) > set @ X2 > X1))).
% 16.09/6.42 thf(func_def_963, type, sK254: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0) > set @ X1 > (X1 > X0) > set @ X2 > X2))).
% 16.09/6.42 thf(func_def_964, type, sK255: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > list @ X1 > list @ X0 > list @ X1))).
% 16.09/6.42 thf(func_def_965, type, sK256: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > list @ X1 > list @ X0 > X1))).
% 16.09/6.42 thf(func_def_966, type, sK257: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X1 > (X1 > X0) > set @ X2 > (X2 > X0) > X2))).
% 16.09/6.42 thf(func_def_967, type, sK258: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X1 > (X1 > X0) > set @ X2 > (X2 > X0) > X1))).
% 16.09/6.42 thf(func_def_968, type, sK259: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_969, type, sK260: !>[X0: $tType, X1: $tType]:(((X1 > X0) > list @ X0 > list @ X1))).
% 16.09/6.42 thf(func_def_970, type, sK261: !>[X0: $tType, X1: $tType]:(((X1 > X0) > list @ X0 > X0))).
% 16.09/6.42 thf(func_def_971, type, sK262: (nat > nat)).
% 16.09/6.42 thf(func_def_972, type, sK263: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_973, type, sK264: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_974, type, sK265: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_975, type, sK266: (product_prod @ vEBT_VEBT @ nat > product_prod @ nat @ nat)).
% 16.09/6.42 thf(func_def_976, type, sK267: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_977, type, sK268: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_978, type, sK269: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_979, type, sK270: (product_prod @ vEBT_VEBT @ nat > $o)).
% 16.09/6.42 thf(func_def_980, type, sK271: (product_prod @ vEBT_VEBT @ nat > $o)).
% 16.09/6.42 thf(func_def_981, type, sK272: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_982, type, sK273: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_983, type, sK274: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_984, type, sK275: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_985, type, sK276: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_986, type, sK277: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_987, type, sK278: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_988, type, sK279: (product_prod @ vEBT_VEBT @ nat > product_prod @ nat @ nat)).
% 16.09/6.42 thf(func_def_989, type, sK280: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_990, type, sK281: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_991, type, sK282: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_992, type, sK283: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_993, type, sK284: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_994, type, sK285: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_995, type, sK286: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.42 thf(func_def_996, type, sK287: !>[X0: $tType]:((set @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_997, type, sK288: !>[X0: $tType]:((set @ X0 > X0 > nat))).
% 16.09/6.42 thf(func_def_998, type, sK289: !>[X0: $tType]:((set @ X0 > nat))).
% 16.09/6.42 thf(func_def_999, type, sK290: !>[X0: $tType]:((nat > (nat > X0) > X0 > nat))).
% 16.09/6.42 thf(func_def_1000, type, sK291: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1001, type, sK292: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1002, type, sK293: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1003, type, sK294: !>[X0: $tType]:((nat > set @ set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1004, type, sK295: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1005, type, sK296: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1006, type, sK297: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X0 > list @ X1 > (X0 > X1 > $o) > list @ X1))).
% 16.09/6.42 thf(func_def_1007, type, sK298: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X0 > list @ X1 > (X0 > X1 > $o) > list @ X1))).
% 16.09/6.42 thf(func_def_1008, type, sK299: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1009, type, sK300: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1010, type, sK301: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1011, type, sK302: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1012, type, sK303: !>[X0: $tType]:((set @ X0 > nat > set @ X0))).
% 16.09/6.42 thf(func_def_1013, type, sK304: !>[X0: $tType]:((list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1014, type, sK305: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1015, type, sK306: (nat > nat > nat > nat)).
% 16.09/6.42 thf(func_def_1016, type, sK307: (nat > nat > nat > nat)).
% 16.09/6.42 thf(func_def_1017, type, sK308: ((nat > $o) > nat > nat)).
% 16.09/6.42 thf(func_def_1018, type, sK309: ((nat > $o) > nat > nat)).
% 16.09/6.42 thf(func_def_1019, type, sK310: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > X1))).
% 16.09/6.42 thf(func_def_1020, type, sK311: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1021, type, sK312: !>[X0: $tType]:(((X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1022, type, sK313: !>[X0: $tType, X1: $tType]:((X1 > set @ X0 > (X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1023, type, sK314: !>[X0: $tType, X1: $tType]:((list @ X1 > (X0 > X1) > list @ X0 > list @ X1 > list @ X0))).
% 16.09/6.42 thf(func_def_1024, type, sK315: !>[X0: $tType, X1: $tType]:((list @ X1 > (X0 > X1) > list @ X0 > list @ X1 > list @ X0))).
% 16.09/6.42 thf(func_def_1025, type, sK316: (set @ nat > nat > nat)).
% 16.09/6.42 thf(func_def_1026, type, sK317: !>[X0: $tType]:((nat > X0 > (nat > X0) > nat))).
% 16.09/6.42 thf(func_def_1027, type, sK318: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > (X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_1028, type, sK319: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1029, type, sK320: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1030, type, sK321: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 16.09/6.42 thf(func_def_1031, type, sK322: !>[X0: $tType]:((nat > set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1032, type, sK323: (int > nat)).
% 16.09/6.42 thf(func_def_1033, type, sK324: (int > nat)).
% 16.09/6.42 thf(func_def_1034, type, sK325: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1 > X0))).
% 16.09/6.42 thf(func_def_1035, type, sK326: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > X0))).
% 16.09/6.42 thf(func_def_1036, type, sK327: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > X1))).
% 16.09/6.42 thf(func_def_1037, type, sK328: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1038, type, sK329: !>[X0: $tType]:((nat > (nat > X0) > (nat > X0) > nat))).
% 16.09/6.42 thf(func_def_1039, type, sK330: (nat > nat > nat)).
% 16.09/6.42 thf(func_def_1040, type, sK331: ((nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1041, type, sK332: ((nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1042, type, sK333: ((nat > real) > real)).
% 16.09/6.42 thf(func_def_1043, type, sK334: ((nat > real) > nat)).
% 16.09/6.42 thf(func_def_1044, type, sK335: ((nat > real) > nat)).
% 16.09/6.42 thf(func_def_1045, type, sK336: (int > (int > $o) > int)).
% 16.09/6.42 thf(func_def_1046, type, sK337: (int > (int > $o) > int)).
% 16.09/6.42 thf(func_def_1047, type, sK338: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > X0 > X1))).
% 16.09/6.42 thf(func_def_1048, type, sK339: !>[X0: $tType]:(((nat > X0) > nat))).
% 16.09/6.42 thf(func_def_1049, type, sK340: ((nat > $o) > nat > nat)).
% 16.09/6.42 thf(func_def_1050, type, sK341: !>[X0: $tType]:((nat > X0 > (nat > X0) > nat))).
% 16.09/6.42 thf(func_def_1051, type, sK342: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > (X0 > X1 > $o) > X0))).
% 16.09/6.42 thf(func_def_1052, type, sK343: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > (X0 > X1 > $o) > X1))).
% 16.09/6.42 thf(func_def_1053, type, sK344: (nat > nat > nat)).
% 16.09/6.42 thf(func_def_1054, type, sK345: (nat > nat > nat)).
% 16.09/6.42 thf(func_def_1055, type, sK346: (nat > nat > nat)).
% 16.09/6.42 thf(func_def_1056, type, sK347: (int > nat)).
% 16.09/6.42 thf(func_def_1057, type, sK348: (int > nat)).
% 16.09/6.42 thf(func_def_1058, type, sK349: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1059, type, sK350: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1060, type, sK351: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 16.09/6.42 thf(func_def_1061, type, sK352: !>[X0: $tType]:((set @ X0 > nat > set @ X0))).
% 16.09/6.42 thf(func_def_1062, type, sK353: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1063, type, sK354: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1064, type, sK355: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0 > $o) > (X0 > X1 > $o) > (X2 > X1 > $o) > X1))).
% 16.09/6.42 thf(func_def_1065, type, sK356: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0 > $o) > (X0 > X1 > $o) > (X2 > X1 > $o) > X2))).
% 16.09/6.42 thf(func_def_1066, type, sK357: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0 > $o) > (X0 > X1 > $o) > (X2 > X1 > $o) > X0))).
% 16.09/6.42 thf(func_def_1067, type, sK358: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1068, type, sK359: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_1069, type, sK360: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1070, type, sK361: (product_prod @ vEBT_VEBT @ nat > option @ product_prod @ nat @ nat)).
% 16.09/6.42 thf(func_def_1071, type, sK362: (product_prod @ vEBT_VEBT @ nat > $o)).
% 16.09/6.42 thf(func_def_1072, type, sK363: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_1073, type, sK364: (product_prod @ vEBT_VEBT @ nat > $o)).
% 16.09/6.42 thf(func_def_1074, type, sK365: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_1075, type, sK366: (product_prod @ vEBT_VEBT @ nat > option @ product_prod @ nat @ nat)).
% 16.09/6.42 thf(func_def_1076, type, sK367: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1077, type, sK368: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1078, type, sK369: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_1079, type, sK370: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1080, type, sK371: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_1081, type, sK372: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1082, type, sK373: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_1083, type, sK374: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_1084, type, sK375: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_1085, type, sK376: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_1086, type, sK377: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1087, type, sK378: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1088, type, sK379: !>[X0: $tType]:((nat > list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1089, type, sK380: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1090, type, sK381: !>[X0: $tType, X1: $tType]:((set @ X0 > (X1 > X0 > $o) > filter @ X1 > X0))).
% 16.09/6.42 thf(func_def_1091, type, sK382: (vEBT_VEBT > $o)).
% 16.09/6.42 thf(func_def_1092, type, sK383: (vEBT_VEBT > $o)).
% 16.09/6.42 thf(func_def_1093, type, sK384: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 16.09/6.42 thf(func_def_1094, type, sK385: !>[X0: $tType]:((set @ X0 > nat > set @ X0))).
% 16.09/6.42 thf(func_def_1095, type, sK386: !>[X0: $tType]:((X0 > list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1096, type, sK387: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > X2) > (X2 > X1) > X0))).
% 16.09/6.42 thf(func_def_1097, type, sK388: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > X2) > (X2 > X1) > X0))).
% 16.09/6.42 thf(func_def_1098, type, sK389: (vEBT_VEBT > vEBT_VEBT > nat > $o)).
% 16.09/6.42 thf(func_def_1099, type, sK390: (vEBT_VEBT > vEBT_VEBT > nat > $o)).
% 16.09/6.42 thf(func_def_1100, type, sK391: (vEBT_VEBT > nat > vEBT_VEBT > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1101, type, sK392: (vEBT_VEBT > nat > vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1102, type, sK393: (vEBT_VEBT > nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1103, type, sK394: (vEBT_VEBT > vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 16.09/6.42 thf(func_def_1104, type, sK395: (vEBT_VEBT > vEBT_VEBT > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1105, type, sK396: (vEBT_VEBT > vEBT_VEBT > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1106, type, sK397: (vEBT_VEBT > vEBT_VEBT > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1107, type, sK398: (vEBT_VEBT > vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 16.09/6.42 thf(func_def_1108, type, sK399: (vEBT_VEBT > vEBT_VEBT > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1109, type, sK400: (vEBT_VEBT > nat > vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1110, type, sK401: (vEBT_VEBT > nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1111, type, sK402: (vEBT_VEBT > nat > vEBT_VEBT > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1112, type, sK403: (vEBT_VEBT > nat > vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1113, type, sK404: (vEBT_VEBT > nat > vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1114, type, sK405: !>[X0: $tType]:((nat > X0 > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1115, type, sK406: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1116, type, sK407: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1117, type, sK408: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1118, type, sK409: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1119, type, sK410: !>[X0: $tType]:((X0 > nat > (nat > X0) > nat))).
% 16.09/6.42 thf(func_def_1120, type, sK411: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1121, type, sK412: !>[X0: $tType]:((list @ X0 > set @ nat > nat))).
% 16.09/6.42 thf(func_def_1122, type, sK413: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.42 thf(func_def_1123, type, sK414: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1124, type, sK415: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1125, type, sK416: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1126, type, sK417: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1127, type, sK418: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1128, type, sK419: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1129, type, sK420: ((nat > real) > real > nat)).
% 16.09/6.42 thf(func_def_1130, type, sK421: ((nat > real) > real > real)).
% 16.09/6.42 thf(func_def_1131, type, sK422: ((nat > real) > nat)).
% 16.09/6.42 thf(func_def_1132, type, sK423: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1133, type, sK424: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > X0 > X1))).
% 16.09/6.42 thf(func_def_1134, type, sK425: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1135, type, sK426: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1136, type, sK427: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > X0 > X1))).
% 16.09/6.42 thf(func_def_1137, type, sK428: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1138, type, sK429: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > X0 > X1))).
% 16.09/6.42 thf(func_def_1139, type, sK430: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 16.09/6.42 thf(func_def_1140, type, sK431: !>[X0: $tType, X1: $tType]:((set @ X0 > (X1 > set @ X0) > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1141, type, sK432: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1142, type, sK433: !>[X0: $tType]:(((X0 > nat) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1143, type, sK434: (vEBT_VEBT > $o)).
% 16.09/6.42 thf(func_def_1144, type, sK435: (vEBT_VEBT > product_prod @ nat @ nat)).
% 16.09/6.42 thf(func_def_1145, type, sK436: (vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1146, type, sK437: (vEBT_VEBT > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1147, type, sK438: (vEBT_VEBT > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1148, type, sK439: (vEBT_VEBT > $o)).
% 16.09/6.42 thf(func_def_1149, type, sK440: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 16.09/6.42 thf(func_def_1150, type, sK441: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 16.09/6.42 thf(func_def_1151, type, sK442: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 16.09/6.42 thf(func_def_1152, type, sK443: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 16.09/6.42 thf(func_def_1153, type, sK444: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_1154, type, sK445: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1155, type, sK446: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1156, type, sK447: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 16.09/6.42 thf(func_def_1157, type, sK448: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1158, type, sK449: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1159, type, sK450: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1160, type, sK451: !>[X0: $tType, X1: $tType]:(((X1 > filter @ X0) > set @ X1 > set @ X1))).
% 16.09/6.42 thf(func_def_1161, type, sK452: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1162, type, sK453: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1163, type, sK454: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1164, type, sK455: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1165, type, sK456: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 16.09/6.42 thf(func_def_1166, type, sK457: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1167, type, sK458: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 16.09/6.42 thf(func_def_1168, type, sK459: !>[X0: $tType]:((nat > X0 > (X0 > X0 > $o) > X0 > X0))).
% 16.09/6.42 thf(func_def_1169, type, sK460: !>[X0: $tType, X1: $tType]:((set @ X0 > (X1 > X0 > $o) > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1170, type, sK461: !>[X0: $tType, X1: $tType]:((set @ X0 > (X1 > X0 > $o) > set @ X1 > X0))).
% 16.09/6.42 thf(func_def_1171, type, sK462: !>[X0: $tType, X1: $tType]:((set @ X0 > (X1 > X0 > $o) > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1172, type, sK463: !>[X0: $tType, X1: $tType]:((set @ X0 > (X1 > X0 > $o) > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1173, type, sK464: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > X0))).
% 16.09/6.42 thf(func_def_1174, type, sK465: !>[X0: $tType]:(((X0 > $o) > list @ X0 > nat))).
% 16.09/6.42 thf(func_def_1175, type, sK466: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > X1 > X0))).
% 16.09/6.42 thf(func_def_1176, type, sK467: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > X0 > X1))).
% 16.09/6.42 thf(func_def_1177, type, sK468: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1178, type, sK469: !>[X0: $tType]:((set @ filter @ X0 > set @ filter @ X0))).
% 16.09/6.42 thf(func_def_1179, type, sK470: (vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1180, type, sK471: (list @ vEBT_VEBT > nat > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1181, type, sK472: (list @ vEBT_VEBT > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1182, type, sK473: (list @ vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1183, type, sK474: !>[X0: $tType]:((X0 > nat))).
% 16.09/6.42 thf(func_def_1184, type, sK475: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1 > X0))).
% 16.09/6.42 thf(func_def_1185, type, sK476: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1186, type, sK477: ((nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1187, type, sK478: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1188, type, sK479: !>[X0: $tType, X1: $tType]:((set @ X1 > X0 > (X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_1189, type, sK480: !>[X0: $tType]:((X0 > (X0 > $o) > nat > (X0 > nat) > X0))).
% 16.09/6.42 thf(func_def_1190, type, sK481: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 16.09/6.42 thf(func_def_1191, type, sK482: !>[X0: $tType]:(((X0 > nat) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1192, type, sK483: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1 > X1) > set @ X0 > (X0 > X1 > X1) > X0))).
% 16.09/6.42 thf(func_def_1193, type, sK484: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1 > X1) > set @ X0 > (X0 > X1 > X1) > X1))).
% 16.09/6.42 thf(func_def_1194, type, sK485: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1 > X1) > set @ X0 > X1))).
% 16.09/6.42 thf(func_def_1195, type, sK486: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1 > X1) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1196, type, sK487: !>[X0: $tType]:(((X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1197, type, sK488: !>[X0: $tType]:(((X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1198, type, sK489: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 16.09/6.42 thf(func_def_1199, type, sK490: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1200, type, sK491: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 16.09/6.42 thf(func_def_1201, type, sK492: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1202, type, sK493: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 16.09/6.42 thf(func_def_1203, type, sK494: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 16.09/6.42 thf(func_def_1204, type, sK495: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 16.09/6.42 thf(func_def_1205, type, sK496: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 16.09/6.42 thf(func_def_1206, type, sK497: !>[X0: $tType, X1: $tType]:((X1 > X1 > (X0 > X1) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1207, type, sK498: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1208, type, sK499: (nat > nat > nat)).
% 16.09/6.42 thf(func_def_1209, type, sK500: (int > nat)).
% 16.09/6.42 thf(func_def_1210, type, sK501: (int > nat)).
% 16.09/6.42 thf(func_def_1211, type, sK502: (nat > (nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1212, type, sK503: (nat > (nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1213, type, sK504: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1214, type, sK505: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1215, type, sK506: (nat > nat > nat > nat)).
% 16.09/6.42 thf(func_def_1216, type, sK507: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1217, type, sK508: !>[X0: $tType]:((X0 > X0 > X0))).
% 16.09/6.42 thf(func_def_1218, type, sK509: !>[X0: $tType]:((X0 > list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1219, type, sK510: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1220, type, sK511: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X1 > $o) > (X0 > X1) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1221, type, sK512: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1222, type, sK513: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1223, type, sK514: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1224, type, sK515: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1225, type, sK516: (nat > nat > (nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1226, type, sK517: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > product_prod @ list @ X0 @ list @ X0))).
% 16.09/6.42 thf(func_def_1227, type, sK518: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1228, type, sK519: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1229, type, sK520: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1230, type, sK521: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1231, type, sK522: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1232, type, sK523: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1233, type, sK524: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > $o) > X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1234, type, sK525: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > $o) > X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1235, type, sK526: !>[X0: $tType]:((set @ X0 > (nat > set @ X0) > nat))).
% 16.09/6.42 thf(func_def_1236, type, sK527: !>[X0: $tType]:((nat > (nat > set @ X0) > nat))).
% 16.09/6.42 thf(func_def_1237, type, sK528: !>[X0: $tType]:((nat > (nat > set @ X0) > nat))).
% 16.09/6.42 thf(func_def_1238, type, sK529: !>[X0: $tType]:((nat > (nat > set @ X0) > nat))).
% 16.09/6.42 thf(func_def_1239, type, sK530: !>[X0: $tType]:((set @ nat > (nat > X0) > (nat > X0) > nat))).
% 16.09/6.42 thf(func_def_1240, type, sK531: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1241, type, sK532: (list @ vEBT_VEBT > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1242, type, sK533: (list @ vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1243, type, sK534: (list @ vEBT_VEBT > nat > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1244, type, sK535: (vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1245, type, sK536: !>[X0: $tType]:(((nat > X0) > set @ product_prod @ X0 @ X0 > nat > nat))).
% 16.09/6.42 thf(func_def_1246, type, sK537: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > X0 > X0 > nat > X0))).
% 16.09/6.42 thf(func_def_1247, type, sK538: ((nat > $o) > int > nat)).
% 16.09/6.42 thf(func_def_1248, type, sK539: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 16.09/6.42 thf(func_def_1249, type, sK540: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1250, type, sK541: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 16.09/6.42 thf(func_def_1251, type, sK542: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > filter @ X0) > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1252, type, sK543: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > set @ X1 > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1253, type, sK544: !>[X0: $tType, X1: $tType]:(((X1 > filter @ X0) > set @ X1 > (X0 > $o) > X1 > X0 > $o))).
% 16.09/6.42 thf(func_def_1254, type, sK545: !>[X0: $tType, X1: $tType]:((X0 > (X1 > filter @ X0) > set @ X1 > (X0 > $o) > X1))).
% 16.09/6.42 thf(func_def_1255, type, sK546: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1256, type, sK547: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1257, type, sK548: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1258, type, sK549: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1259, type, sK550: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1260, type, sK551: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1261, type, sK552: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > X0 > X1))).
% 16.09/6.42 thf(func_def_1262, type, sK553: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1263, type, sK554: !>[X0: $tType]:((X0 > X0 > X0))).
% 16.09/6.42 thf(func_def_1264, type, sK555: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1265, type, sK556: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_1266, type, sK557: (nat > nat > nat)).
% 16.09/6.42 thf(func_def_1267, type, sK558: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0 > $o) > X1))).
% 16.09/6.42 thf(func_def_1268, type, sK559: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0 > $o) > X1 > X0))).
% 16.09/6.42 thf(func_def_1269, type, sK560: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > X0 > X0 > X0))).
% 16.09/6.42 thf(func_def_1270, type, sK561: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X0 > X1) > (X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_1271, type, sK562: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > set @ X0 > set @ X0 > X1))).
% 16.09/6.42 thf(func_def_1272, type, sK563: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1273, type, sK564: !>[X0: $tType, X1: $tType]:((set @ X0 > (X1 > X0) > set @ X1 > set @ X1 > set @ X0 > X1))).
% 16.09/6.42 thf(func_def_1274, type, sK565: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X2) > (X0 > X2) > (X1 > X0) > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1275, type, sK566: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1276, type, sK567: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > (X0 > X1) > X1))).
% 16.09/6.42 thf(func_def_1277, type, sK568: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1278, type, sK569: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 16.09/6.42 thf(func_def_1279, type, sK570: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1280, type, sK571: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > list @ X0 > list @ X1 > X1 > list @ X0))).
% 16.09/6.42 thf(func_def_1281, type, sK572: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > list @ X0 > list @ X1 > X1 > X0))).
% 16.09/6.42 thf(func_def_1282, type, sK573: !>[X0: $tType]:((list @ X0 > nat))).
% 16.09/6.42 thf(func_def_1283, type, sK574: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > (X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_1284, type, sK575: !>[X0: $tType]:((nat > list @ X0))).
% 16.09/6.42 thf(func_def_1285, type, sK576: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ product_prod @ list @ X1 @ list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1286, type, sK577: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ product_prod @ list @ X1 @ list @ X0 > X1 > X0))).
% 16.09/6.42 thf(func_def_1287, type, sK578: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ product_prod @ list @ X1 @ list @ X0 > X1))).
% 16.09/6.42 thf(func_def_1288, type, sK579: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ product_prod @ list @ X1 @ list @ X0 > list @ X1))).
% 16.09/6.42 thf(func_def_1289, type, sK580: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ product_prod @ list @ X1 @ list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1290, type, sK581: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ product_prod @ list @ X1 @ list @ X0 > X1 > X0))).
% 16.09/6.42 thf(func_def_1291, type, sK582: (nat > nat > nat)).
% 16.09/6.42 thf(func_def_1292, type, sK583: (real > nat > real)).
% 16.09/6.42 thf(func_def_1293, type, sK584: !>[X0: $tType, X1: $tType]:(((set @ X1 > $o) > set @ X0 > (X0 > X1) > set @ X0))).
% 16.09/6.42 thf(func_def_1294, type, sK585: !>[X0: $tType, X1: $tType]:(((set @ X1 > $o) > set @ X0 > (X0 > X1) > set @ X1))).
% 16.09/6.42 thf(func_def_1295, type, sK586: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1296, type, sK587: !>[X0: $tType]:((list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1297, type, sK588: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1298, type, sK589: !>[X0: $tType]:((set @ X0 > (X0 > $o) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1299, type, sK590: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1300, type, sK591: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1301, type, sK592: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X0 > X1))).
% 16.09/6.42 thf(func_def_1302, type, sK593: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X0 > X1))).
% 16.09/6.42 thf(func_def_1303, type, sK594: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1304, type, sK595: !>[X0: $tType]:((set @ X0 > (set @ X0 > $o) > set @ X0))).
% 16.09/6.42 thf(func_def_1305, type, sK596: (nat > (nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1306, type, sK597: (vEBT_VEBT > nat > option @ product_prod @ nat @ nat)).
% 16.09/6.42 thf(func_def_1307, type, sK598: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1308, type, sK599: (vEBT_VEBT > nat > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1309, type, sK600: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > nat > nat))).
% 16.09/6.42 thf(func_def_1310, type, sK601: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > nat > X0))).
% 16.09/6.42 thf(func_def_1311, type, sK602: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 16.09/6.42 thf(func_def_1312, type, sK603: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1313, type, sK604: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1314, type, sK605: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1315, type, sK606: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > (X1 > set @ X0) > X1))).
% 16.09/6.42 thf(func_def_1316, type, sK607: !>[X0: $tType]:(((nat > set @ X0) > set @ X0 > nat))).
% 16.09/6.42 thf(func_def_1317, type, sK608: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > (X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1318, type, sK609: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1319, type, sK610: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1320, type, sK611: !>[X0: $tType, X1: $tType]:((set @ X0 > (X1 > $o) > (X0 > filter @ X1) > set @ X0))).
% 16.09/6.42 thf(func_def_1321, type, sK612: !>[X0: $tType]:((list @ X0 > X0 > (X0 > $o) > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1322, type, sK613: !>[X0: $tType]:((list @ X0 > X0 > (X0 > $o) > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1323, type, sK614: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1324, type, sK615: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1325, type, sK616: !>[X0: $tType]:((list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1326, type, sK617: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1327, type, sK618: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1328, type, sK619: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1329, type, sK620: (vEBT_VEBT > $o)).
% 16.09/6.42 thf(func_def_1330, type, sK621: (vEBT_VEBT > $o)).
% 16.09/6.42 thf(func_def_1331, type, sK622: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1332, type, sK623: (nat > nat > nat)).
% 16.09/6.42 thf(func_def_1333, type, sK624: !>[X0: $tType]:((nat > X0 > X0 > set @ product_prod @ X0 @ X0 > X0))).
% 16.09/6.42 thf(func_def_1334, type, sK625: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1335, type, sK626: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1336, type, sK627: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1337, type, sK628: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1338, type, sK629: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1339, type, sK630: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1340, type, sK631: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1341, type, sK632: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1342, type, sK633: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1343, type, sK634: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1344, type, sK635: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1345, type, sK636: !>[X0: $tType]:((list @ X0 > (nat > X0) > nat > nat))).
% 16.09/6.42 thf(func_def_1346, type, sK637: ((nat > real) > (nat > real) > nat)).
% 16.09/6.42 thf(func_def_1347, type, sK638: ((nat > real) > nat)).
% 16.09/6.42 thf(func_def_1348, type, sK639: ((nat > real) > (nat > real) > real)).
% 16.09/6.42 thf(func_def_1349, type, sK640: ((nat > real) > nat)).
% 16.09/6.42 thf(func_def_1350, type, sK641: !>[X0: $tType]:((list @ X0 > nat))).
% 16.09/6.42 thf(func_def_1351, type, sK642: (vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1352, type, sK643: !>[X0: $tType]:((set @ X0 > (set @ X0 > $o) > set @ X0))).
% 16.09/6.42 thf(func_def_1353, type, sK644: !>[X0: $tType]:((set @ X0 > (set @ X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1354, type, sK645: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1 > X0))).
% 16.09/6.42 thf(func_def_1355, type, sK646: !>[X0: $tType]:((nat > list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1356, type, sK647: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1357, type, sK648: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1358, type, sK649: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 16.09/6.42 thf(func_def_1359, type, sK650: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1360, type, sK651: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1361, type, sK652: (nat > nat > nat)).
% 16.09/6.42 thf(func_def_1362, type, sK653: (nat > nat > nat)).
% 16.09/6.42 thf(func_def_1363, type, sK654: (nat > nat > nat)).
% 16.09/6.42 thf(func_def_1364, type, sK655: ((nat > $o) > nat > nat > nat)).
% 16.09/6.42 thf(func_def_1365, type, sK656: ((nat > $o) > nat > nat > nat)).
% 16.09/6.42 thf(func_def_1366, type, sK657: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1367, type, sK658: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1368, type, sK659: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1369, type, sK660: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1370, type, sK661: (int > set @ int > int)).
% 16.09/6.42 thf(func_def_1371, type, sK662: (set @ int > int)).
% 16.09/6.42 thf(func_def_1372, type, sK663: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1373, type, sK664: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 16.09/6.42 thf(func_def_1374, type, sK665: (vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1375, type, sK666: (vEBT_VEBT > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1376, type, sK667: (vEBT_VEBT > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1377, type, sK668: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1378, type, sK669: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1379, type, sK670: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1380, type, sK671: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_1381, type, sK672: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > (X1 > set @ X0) > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1382, type, sK673: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1383, type, sK674: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1384, type, sK675: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1385, type, sK676: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1386, type, sK677: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1387, type, sK678: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1388, type, sK679: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1389, type, sK680: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 16.09/6.42 thf(func_def_1390, type, sK681: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > set @ X0) > (X1 > set @ X0) > X1))).
% 16.09/6.42 thf(func_def_1391, type, sK682: (int > nat)).
% 16.09/6.42 thf(func_def_1392, type, sK683: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1393, type, sK684: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1394, type, sK685: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1395, type, sK686: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1396, type, sK687: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1397, type, sK688: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1398, type, sK689: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X1 > list @ X0 > list @ X1 > list @ X0))).
% 16.09/6.42 thf(func_def_1399, type, sK690: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X1 > list @ X0 > list @ X1 > list @ X0))).
% 16.09/6.42 thf(func_def_1400, type, sK691: (set @ nat > nat)).
% 16.09/6.42 thf(func_def_1401, type, sK692: (int > nat)).
% 16.09/6.42 thf(func_def_1402, type, sK693: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1403, type, sK694: !>[X0: $tType]:((list @ X0 > X0 > nat))).
% 16.09/6.42 thf(func_def_1404, type, sK695: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1405, type, sK696: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1406, type, sK697: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1407, type, sK698: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1408, type, sK699: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1409, type, sK700: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1410, type, sK701: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1411, type, sK702: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1412, type, sK703: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1413, type, sK704: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1414, type, sK705: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1415, type, sK706: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1416, type, sK707: (nat > (nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1417, type, sK708: (nat > (nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1418, type, sK709: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1419, type, sK710: !>[X0: $tType]:(((X0 > X0) > nat > X0 > nat))).
% 16.09/6.42 thf(func_def_1420, type, sK711: !>[X0: $tType]:(((X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1421, type, sK712: !>[X0: $tType]:((nat > list @ list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1422, type, sK713: (int > nat)).
% 16.09/6.42 thf(func_def_1423, type, sK714: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > set @ X1))).
% 16.09/6.42 thf(func_def_1424, type, sK715: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 16.09/6.42 thf(func_def_1425, type, sK716: !>[X0: $tType]:((set @ set @ X0 > set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1426, type, sK717: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1427, type, sK718: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1428, type, sK719: ((nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1429, type, sK720: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_1430, type, sK721: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_1431, type, sK722: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1432, type, sK723: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 16.09/6.42 thf(func_def_1433, type, sK724: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ list @ X0))).
% 16.09/6.42 thf(func_def_1434, type, sK725: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1435, type, sK726: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ list @ X0))).
% 16.09/6.42 thf(func_def_1436, type, sK727: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1437, type, sK728: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1438, type, sK729: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 16.09/6.42 thf(func_def_1439, type, sK730: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > (X0 > X1 > $o) > (X0 > X1 > $o) > X0))).
% 16.09/6.42 thf(func_def_1440, type, sK731: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > (X0 > X1 > $o) > (X0 > X1 > $o) > X1))).
% 16.09/6.42 thf(func_def_1441, type, sK732: (int > nat)).
% 16.09/6.42 thf(func_def_1442, type, sK733: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > (X0 > set @ X1) > X0))).
% 16.09/6.42 thf(func_def_1443, type, sK734: !>[X0: $tType]:(((nat > X0 > $o) > nat > list @ X0))).
% 16.09/6.42 thf(func_def_1444, type, sK735: !>[X0: $tType]:(((nat > X0 > $o) > nat > nat))).
% 16.09/6.42 thf(func_def_1445, type, sK736: !>[X0: $tType]:((nat > (nat > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1446, type, sK737: !>[X0: $tType]:((list @ X0 > (nat > X0 > $o) > nat > nat))).
% 16.09/6.42 thf(func_def_1447, type, sK738: !>[X0: $tType]:(((X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1448, type, sK739: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 16.09/6.42 thf(func_def_1449, type, sK740: !>[X0: $tType]:((X0 > (X0 > $o) > X0 > X0))).
% 16.09/6.42 thf(func_def_1450, type, sK741: !>[X0: $tType]:((set @ filter @ X0 > (X0 > $o) > set @ filter @ X0))).
% 16.09/6.42 thf(func_def_1451, type, sK742: !>[X0: $tType]:((X0 > set @ X0 > X0 > set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1452, type, sK743: (nat > (nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1453, type, sK744: (nat > (nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1454, type, sK745: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_1455, type, sK746: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_1456, type, sK747: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_1457, type, sK748: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X0 > list @ X2 > list @ X1 > $o) > list @ X0))).
% 16.09/6.42 thf(func_def_1458, type, sK749: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X0 > list @ X2 > list @ X1 > $o) > list @ X1))).
% 16.09/6.42 thf(func_def_1459, type, sK750: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X0 > list @ X2 > list @ X1 > $o) > X0))).
% 16.09/6.42 thf(func_def_1460, type, sK751: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X0 > list @ X2 > list @ X1 > $o) > X1))).
% 16.09/6.42 thf(func_def_1461, type, sK752: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X0 > list @ X2 > list @ X1 > $o) > X2))).
% 16.09/6.42 thf(func_def_1462, type, sK753: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X0 > list @ X2 > list @ X1 > $o) > list @ X2))).
% 16.09/6.42 thf(func_def_1463, type, sK754: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1464, type, sK755: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > set @ X0 > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1465, type, sK756: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X1 > set @ X1 > set @ X0 > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1466, type, sK757: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X0 > set @ X0 > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1467, type, sK758: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1468, type, sK759: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1469, type, sK760: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > set @ X1 > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1470, type, sK761: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0) > (X2 > X1) > (X0 > X1) > set @ X2 > X2))).
% 16.09/6.42 thf(func_def_1471, type, sK762: !>[X0: $tType]:((nat > list @ X0 > list @ X0 > nat))).
% 16.09/6.42 thf(func_def_1472, type, sK763: !>[X0: $tType]:((list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1473, type, sK764: !>[X0: $tType]:((set @ X0 > list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1474, type, sK765: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1475, type, sK766: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1476, type, sK767: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 16.09/6.42 thf(func_def_1477, type, sK768: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 16.09/6.42 thf(func_def_1478, type, sK769: (nat > (nat > int) > int > nat)).
% 16.09/6.42 thf(func_def_1479, type, sK770: (nat > (nat > int) > nat)).
% 16.09/6.42 thf(func_def_1480, type, sK771: ((nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1481, type, sK772: (int > nat)).
% 16.09/6.42 thf(func_def_1482, type, sK773: (nat > nat > nat)).
% 16.09/6.42 thf(func_def_1483, type, sK774: !>[X0: $tType]:(((X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1484, type, sK775: ((int > $o) > int > int)).
% 16.09/6.42 thf(func_def_1485, type, sK776: !>[X0: $tType]:(((nat > X0) > nat))).
% 16.09/6.42 thf(func_def_1486, type, sK777: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > (X0 > X1) > set @ X0))).
% 16.09/6.42 thf(func_def_1487, type, sK778: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > (X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1488, type, sK779: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > X0))).
% 16.09/6.42 thf(func_def_1489, type, sK780: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > X0))).
% 16.09/6.42 thf(func_def_1490, type, sK781: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > X0))).
% 16.09/6.42 thf(func_def_1491, type, sK782: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_1492, type, sK783: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 16.09/6.42 thf(func_def_1493, type, sK784: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1494, type, sK785: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 16.09/6.42 thf(func_def_1495, type, sK786: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1496, type, sK787: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1497, type, sK788: ((nat > $o) > nat > nat)).
% 16.09/6.42 thf(func_def_1498, type, sK789: !>[X0: $tType, X1: $tType]:((X0 > list @ X1 > list @ X0 > (X1 > X0 > $o) > X1))).
% 16.09/6.42 thf(func_def_1499, type, sK790: !>[X0: $tType, X1: $tType]:((X0 > list @ X1 > list @ X0 > (X1 > X0 > $o) > list @ X1))).
% 16.09/6.42 thf(func_def_1500, type, sK791: !>[X0: $tType]:((list @ X0 > X0 > list @ X0 > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1501, type, sK792: (nat > nat)).
% 16.09/6.42 thf(func_def_1502, type, sK793: !>[X0: $tType]:(X0)).
% 16.09/6.42 thf(func_def_1503, type, sK794: !>[X0: $tType, X1: $tType]:(((X1 > $o) > set @ X0 > (X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_1504, type, sK795: (nat > nat > nat > nat)).
% 16.09/6.42 thf(func_def_1505, type, sK796: (nat > nat > nat > nat)).
% 16.09/6.42 thf(func_def_1506, type, sK797: ((nat > real) > real)).
% 16.09/6.42 thf(func_def_1507, type, sK798: (nat > (nat > real) > nat)).
% 16.09/6.42 thf(func_def_1508, type, sK799: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1509, type, sK800: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1510, type, sK801: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1511, type, sK802: !>[X0: $tType]:(((X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1512, type, sK803: (nat > nat)).
% 16.09/6.42 thf(func_def_1513, type, sK804: (nat > nat)).
% 16.09/6.42 thf(func_def_1514, type, sK805: (nat > nat)).
% 16.09/6.42 thf(func_def_1515, type, sK806: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1516, type, sK807: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1517, type, sK808: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1518, type, sK809: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > set @ X0) > X1))).
% 16.09/6.42 thf(func_def_1519, type, sK810: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > set @ X0) > X1))).
% 16.09/6.42 thf(func_def_1520, type, sK811: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X2 > (X2 > set @ X1) > (X1 > X0) > X2))).
% 16.09/6.42 thf(func_def_1521, type, sK812: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > list @ X1))).
% 16.09/6.42 thf(func_def_1522, type, sK813: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > X1))).
% 16.09/6.42 thf(func_def_1523, type, sK814: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > X0))).
% 16.09/6.42 thf(func_def_1524, type, sK815: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > list @ X0))).
% 16.09/6.42 thf(func_def_1525, type, sK816: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ set @ X1 > set @ X1))).
% 16.09/6.42 thf(func_def_1526, type, sK817: !>[X0: $tType]:((nat > set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 16.09/6.42 thf(func_def_1527, type, sK818: !>[X0: $tType]:((nat > set @ product_prod @ X0 @ X0 > X0 > X0 > nat))).
% 16.09/6.42 thf(func_def_1528, type, sK819: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > $o) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1529, type, sK820: (nat > (nat > $o) > nat > nat)).
% 16.09/6.42 thf(func_def_1530, type, sK821: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 16.09/6.42 thf(func_def_1531, type, sK822: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1532, type, sK823: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1533, type, sK824: !>[X0: $tType, X1: $tType]:((filter @ X0 > X1 > (X0 > X1) > X1))).
% 16.09/6.42 thf(func_def_1534, type, sK825: !>[X0: $tType]:((set @ filter @ X0 > filter @ X0))).
% 16.09/6.42 thf(func_def_1535, type, sK826: !>[X0: $tType]:((set @ filter @ X0 > filter @ X0))).
% 16.09/6.42 thf(func_def_1536, type, sK827: !>[X0: $tType]:(((X0 > $o) > set @ filter @ X0 > filter @ X0))).
% 16.09/6.42 thf(func_def_1537, type, sK828: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1538, type, sK829: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1539, type, sK830: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1540, type, sK831: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1541, type, sK832: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > (X1 > $o) > X1))).
% 16.09/6.42 thf(func_def_1542, type, sK833: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > X0) > (X1 > $o) > X1))).
% 16.09/6.42 thf(func_def_1543, type, sK834: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 16.09/6.42 thf(func_def_1544, type, sK835: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1545, type, sK836: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1546, type, sK837: !>[X0: $tType]:((set @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1547, type, sK838: (product_prod @ vEBT_VEBT @ nat > option @ product_prod @ nat @ nat)).
% 16.09/6.42 thf(func_def_1548, type, sK839: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1549, type, sK840: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_1550, type, sK841: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1551, type, sK842: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_1552, type, sK843: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_1553, type, sK844: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1554, type, sK845: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1555, type, sK846: (product_prod @ vEBT_VEBT @ nat > option @ product_prod @ nat @ nat)).
% 16.09/6.42 thf(func_def_1556, type, sK847: (product_prod @ vEBT_VEBT @ nat > $o)).
% 16.09/6.42 thf(func_def_1557, type, sK848: (product_prod @ vEBT_VEBT @ nat > $o)).
% 16.09/6.42 thf(func_def_1558, type, sK849: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_1559, type, sK850: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1560, type, sK851: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1 > X1 > (X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_1561, type, sK852: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > set @ X1))).
% 16.09/6.42 thf(func_def_1562, type, sK853: (nat > (nat > nat) > nat)).
% 16.09/6.42 thf(func_def_1563, type, sK854: ((nat > nat) > nat > nat)).
% 16.09/6.42 thf(func_def_1564, type, sK855: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 16.09/6.42 thf(func_def_1565, type, sK856: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1566, type, sK857: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1567, type, sK858: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 16.09/6.42 thf(func_def_1568, type, sK859: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1569, type, sK860: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1570, type, sK861: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 16.09/6.42 thf(func_def_1571, type, sK862: !>[X0: $tType]:((nat > set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1572, type, sK863: !>[X0: $tType]:((nat > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1573, type, sK864: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1574, type, sK865: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 16.09/6.42 thf(func_def_1575, type, sK866: (real > real > nat)).
% 16.09/6.42 thf(func_def_1576, type, sK867: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > $o) > (X1 > $o) > X1))).
% 16.09/6.42 thf(func_def_1577, type, sK868: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > (X1 > $o) > X1))).
% 16.09/6.42 thf(func_def_1578, type, sK869: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1579, type, sK870: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1580, type, sK871: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1581, type, sK872: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1582, type, sK873: ((nat > nat) > nat)).
% 16.09/6.42 thf(func_def_1583, type, sK874: (vEBT_VEBT > $o)).
% 16.09/6.42 thf(func_def_1584, type, sK875: (vEBT_VEBT > $o)).
% 16.09/6.42 thf(func_def_1585, type, sK876: (nat > (nat > int) > nat > nat)).
% 16.09/6.42 thf(func_def_1586, type, sK877: (int > nat > (nat > int) > nat > nat)).
% 16.09/6.42 thf(func_def_1587, type, sK878: (nat > nat)).
% 16.09/6.42 thf(func_def_1588, type, sK879: !>[X0: $tType]:((set @ set @ X0 > set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1589, type, sK880: !>[X0: $tType]:((set @ set @ X0 > set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1590, type, sK881: ((nat > nat) > nat)).
% 16.09/6.42 thf(func_def_1591, type, sK882: ((nat > nat) > nat)).
% 16.09/6.42 thf(func_def_1592, type, sK883: !>[X0: $tType]:((nat > (X0 > X0 > $o) > X0 > X0 > X0))).
% 16.09/6.42 thf(func_def_1593, type, sK884: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > (X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1594, type, sK885: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1595, type, sK886: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1596, type, sK887: (nat > set @ nat > nat)).
% 16.09/6.42 thf(func_def_1597, type, sK888: (set @ nat > nat)).
% 16.09/6.42 thf(func_def_1598, type, sK889: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 16.09/6.42 thf(func_def_1599, type, sK890: !>[X0: $tType]:(((nat > X0 > $o) > (nat > X0 > X0 > $o) > nat > X0))).
% 16.09/6.42 thf(func_def_1600, type, sK891: !>[X0: $tType]:(((nat > X0 > $o) > (nat > X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1601, type, sK892: !>[X0: $tType]:(((nat > X0 > $o) > (nat > X0 > X0 > $o) > nat))).
% 16.09/6.42 thf(func_def_1602, type, sK893: !>[X0: $tType]:(((nat > X0) > (nat > X0) > nat > nat))).
% 16.09/6.42 thf(func_def_1603, type, sK894: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1 > $o) > set @ X1 > nat > X1))).
% 16.09/6.42 thf(func_def_1604, type, sK895: !>[X0: $tType, X1: $tType]:(((set @ X1 > $o) > (X0 > X1) > set @ X0 > set @ X1))).
% 16.09/6.42 thf(func_def_1605, type, sK896: !>[X0: $tType, X1: $tType]:(((set @ X1 > $o) > (X0 > X1) > set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1606, type, sK897: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1607, type, sK898: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1608, type, sK899: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 16.09/6.42 thf(func_def_1609, type, sK900: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 16.09/6.42 thf(func_def_1610, type, sK901: ((nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1611, type, sK902: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1612, type, sK903: (nat > (nat > int) > int > nat)).
% 16.09/6.42 thf(func_def_1613, type, sK904: (nat > (nat > int) > nat)).
% 16.09/6.42 thf(func_def_1614, type, sK905: !>[X0: $tType]:((list @ X0 > nat))).
% 16.09/6.42 thf(func_def_1615, type, sK906: !>[X0: $tType]:((list @ X0 > nat))).
% 16.09/6.42 thf(func_def_1616, type, sK907: !>[X0: $tType]:((X0 > (X0 > X0 > $o) > X0 > nat > X0))).
% 16.09/6.42 thf(func_def_1617, type, sK908: !>[X0: $tType]:((set @ set @ X0 > set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1618, type, sK909: ((real > $o) > nat)).
% 16.09/6.42 thf(func_def_1619, type, sK910: ((real > $o) > real)).
% 16.09/6.42 thf(func_def_1620, type, sK911: ((real > $o) > real)).
% 16.09/6.42 thf(func_def_1621, type, sK912: !>[X0: $tType, X1: $tType]:((X1 > X0))).
% 16.09/6.42 thf(func_def_1622, type, sK913: (nat > (nat > $o) > nat > nat)).
% 16.09/6.42 thf(func_def_1623, type, sK914: (nat > nat)).
% 16.09/6.42 thf(func_def_1624, type, sK915: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1625, type, sK916: !>[X0: $tType, X1: $tType]:((X1 > X0))).
% 16.09/6.42 thf(func_def_1626, type, sK917: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.42 thf(func_def_1627, type, sK918: !>[X0: $tType]:(((nat > X0) > nat))).
% 16.09/6.42 thf(func_def_1628, type, sK919: !>[X0: $tType]:(((nat > X0) > nat))).
% 16.09/6.42 thf(func_def_1629, type, sK920: (int > (int > $o) > int)).
% 16.09/6.42 thf(func_def_1630, type, sK921: (nat > (nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1631, type, sK922: ((nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1632, type, sK923: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > X1) > (X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1633, type, sK924: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1634, type, sK925: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > set @ X1 > X0))).
% 16.09/6.42 thf(func_def_1635, type, sK926: (list @ vEBT_VEBT > nat > nat > nat > nat > nat)).
% 16.09/6.42 thf(func_def_1636, type, sK927: (list @ vEBT_VEBT > nat > nat > nat > nat > nat)).
% 16.09/6.42 thf(func_def_1637, type, sK928: (list @ vEBT_VEBT > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1638, type, sK929: (list @ vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1639, type, sK930: (list @ vEBT_VEBT > nat > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1640, type, sK931: (list @ vEBT_VEBT > nat > vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1641, type, sK932: (list @ vEBT_VEBT > nat > vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1642, type, sK933: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1643, type, sK934: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1644, type, sK935: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_1645, type, sK936: ((nat > nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1646, type, sK937: ((nat > nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1647, type, sK938: ((nat > nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1648, type, sK939: ((nat > nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1649, type, sK940: ((nat > nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1650, type, sK941: !>[X0: $tType, X1: $tType]:((X1 > list @ X1 > list @ X0 > (X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1651, type, sK942: !>[X0: $tType, X1: $tType]:((X1 > list @ X1 > list @ X0 > (X0 > X1) > list @ X0))).
% 16.09/6.42 thf(func_def_1652, type, sK943: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.42 thf(func_def_1653, type, sK944: !>[X0: $tType]:((nat > list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1654, type, sK945: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1655, type, sK946: (int > nat)).
% 16.09/6.42 thf(func_def_1656, type, sK947: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X0 > X1))).
% 16.09/6.42 thf(func_def_1657, type, sK948: !>[X0: $tType]:((set @ list @ X0 > nat))).
% 16.09/6.42 thf(func_def_1658, type, sK949: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1659, type, sK950: !>[X0: $tType]:((X0 > X0 > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1660, type, sK951: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1661, type, sK952: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1662, type, sK953: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 16.09/6.42 thf(func_def_1663, type, sK954: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1664, type, sK955: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 16.09/6.42 thf(func_def_1665, type, sK956: !>[X0: $tType, X1: $tType]:((filter @ X1 > (X1 > X0) > X0))).
% 16.09/6.42 thf(func_def_1666, type, sK957: !>[X0: $tType]:((set @ X0 > (X0 > nat) > X0))).
% 16.09/6.42 thf(func_def_1667, type, sK958: !>[X0: $tType]:((X0 > X0 > set @ product_prod @ X0 @ X0 > nat > X0))).
% 16.09/6.42 thf(func_def_1668, type, sK959: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > set @ X0 > set @ X2 > (X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1669, type, sK960: !>[X0: $tType]:((X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1670, type, sK961: (vEBT_VEBT > nat > nat)).
% 16.09/6.42 thf(func_def_1671, type, sK962: (vEBT_VEBT > nat > nat)).
% 16.09/6.42 thf(func_def_1672, type, sK963: (vEBT_VEBT > nat > nat)).
% 16.09/6.42 thf(func_def_1673, type, sK964: (vEBT_VEBT > nat > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1674, type, sK965: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1675, type, sK966: (nat > vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1676, type, sK967: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1677, type, sK968: (nat > vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1678, type, sK969: (nat > vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1679, type, sK970: (nat > vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1680, type, sK971: (nat > vEBT_VEBT > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1681, type, sK972: (nat > vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1682, type, sK973: (nat > nat > vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1683, type, sK974: (nat > vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1684, type, sK975: (nat > vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1685, type, sK976: (nat > vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1686, type, sK977: (nat > vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1687, type, sK978: (nat > vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1688, type, sK979: (nat > vEBT_VEBT > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1689, type, sK980: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1690, type, sK981: (nat > nat > vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1691, type, sK982: (nat > vEBT_VEBT > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1692, type, sK983: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1693, type, sK984: (nat > vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1694, type, sK985: (nat > vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1695, type, sK986: (nat > vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1696, type, sK987: (vEBT_VEBT > $o)).
% 16.09/6.42 thf(func_def_1697, type, sK988: (vEBT_VEBT > $o)).
% 16.09/6.42 thf(func_def_1698, type, sK989: !>[X0: $tType, X1: $tType]:(((X1 > X0) > list @ X1 > list @ X0 > X0 > X1))).
% 16.09/6.42 thf(func_def_1699, type, sK990: !>[X0: $tType, X1: $tType]:(((X1 > X0) > list @ X1 > list @ X0 > X0 > list @ X1))).
% 16.09/6.42 thf(func_def_1700, type, sK991: !>[X0: $tType]:((X0 > (X0 > X0) > nat))).
% 16.09/6.42 thf(func_def_1701, type, sK992: (nat > nat)).
% 16.09/6.42 thf(func_def_1702, type, sK993: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_1703, type, sK994: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1704, type, sK995: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1705, type, sK996: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_1706, type, sK997: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1707, type, sK998: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_1708, type, sK999: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1709, type, sK1000: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_1710, type, sK1001: (product_prod @ vEBT_VEBT @ nat > $o)).
% 16.09/6.42 thf(func_def_1711, type, sK1002: (product_prod @ vEBT_VEBT @ nat > $o)).
% 16.09/6.42 thf(func_def_1712, type, sK1003: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1713, type, sK1004: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_1714, type, sK1005: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_1715, type, sK1006: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_1716, type, sK1007: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_1717, type, sK1008: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1718, type, sK1009: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1719, type, sK1010: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1720, type, sK1011: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_1721, type, sK1012: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_1722, type, sK1013: (product_prod @ vEBT_VEBT @ nat > nat)).
% 16.09/6.42 thf(func_def_1723, type, sK1014: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1724, type, sK1015: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1725, type, sK1016: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1726, type, sK1017: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > (X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1727, type, sK1018: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > set @ X0) > X1))).
% 16.09/6.42 thf(func_def_1728, type, sK1019: !>[X0: $tType, X1: $tType]:(((X1 > X0) > list @ X1 > (X1 > X0) > list @ X1 > X1))).
% 16.09/6.42 thf(func_def_1729, type, sK1020: !>[X0: $tType, X1: $tType]:(((X1 > X0) > list @ X1 > (X1 > X0) > list @ X1 > X1))).
% 16.09/6.42 thf(func_def_1730, type, sK1021: (nat > (nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1731, type, sK1022: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1732, type, sK1023: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1733, type, sK1024: !>[X0: $tType]:((X0 > (X0 > nat) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1734, type, sK1025: !>[X0: $tType]:(((X0 > nat) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1735, type, sK1026: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X3 > list @ X0 > $o) > X3))).
% 16.09/6.42 thf(func_def_1736, type, sK1027: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X3 > list @ X0 > $o) > X1))).
% 16.09/6.42 thf(func_def_1737, type, sK1028: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X3 > list @ X0 > $o) > list @ X2))).
% 16.09/6.42 thf(func_def_1738, type, sK1029: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X3 > list @ X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1739, type, sK1030: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X3 > list @ X0 > $o) > X2))).
% 16.09/6.42 thf(func_def_1740, type, sK1031: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X3 > list @ X0 > $o) > list @ X3))).
% 16.09/6.42 thf(func_def_1741, type, sK1032: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X3 > list @ X0 > $o) > list @ X1))).
% 16.09/6.42 thf(func_def_1742, type, sK1033: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X3 > list @ X0 > $o) > list @ X0))).
% 16.09/6.42 thf(func_def_1743, type, sK1034: !>[X0: $tType]:(((nat > X0) > nat))).
% 16.09/6.42 thf(func_def_1744, type, sK1035: !>[X0: $tType]:(((X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1745, type, sK1036: !>[X0: $tType]:(((X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1746, type, sK1037: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1747, type, sK1038: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1748, type, sK1039: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1749, type, sK1040: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > (X0 > X1) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1750, type, sK1041: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1751, type, sK1042: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1752, type, sK1043: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1753, type, sK1044: !>[X0: $tType]:((list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1754, type, sK1045: !>[X0: $tType]:((list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1755, type, sK1046: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1756, type, sK1047: !>[X0: $tType]:((list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1757, type, sK1048: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.42 thf(func_def_1758, type, sK1049: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1759, type, sK1050: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1760, type, sK1051: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1761, type, sK1052: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.42 thf(func_def_1762, type, sK1053: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X1 > X0 > $o) > X1))).
% 16.09/6.42 thf(func_def_1763, type, sK1054: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X1 > X0 > $o) > list @ X1))).
% 16.09/6.42 thf(func_def_1764, type, sK1055: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X1 > X0 > $o) > list @ X0))).
% 16.09/6.42 thf(func_def_1765, type, sK1056: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X1 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1766, type, sK1057: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1767, type, sK1058: !>[X0: $tType, X1: $tType]:((set @ set @ X1 > (X1 > X0) > set @ X1))).
% 16.09/6.42 thf(func_def_1768, type, sK1059: !>[X0: $tType, X1: $tType]:((set @ set @ X1 > (X1 > X0) > set @ X1))).
% 16.09/6.42 thf(func_def_1769, type, sK1060: !>[X0: $tType, X1: $tType]:((set @ set @ X1 > (X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_1770, type, sK1061: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1771, type, sK1062: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X2 > (X1 > X0) > (X2 > X0) > set @ X1 > X2))).
% 16.09/6.42 thf(func_def_1772, type, sK1063: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1773, type, sK1064: (nat > (nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1774, type, sK1065: (nat > (nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1775, type, sK1066: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1776, type, sK1067: (nat > nat > nat)).
% 16.09/6.42 thf(func_def_1777, type, sK1068: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1778, type, sK1069: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 16.09/6.42 thf(func_def_1779, type, sK1070: (nat > vEBT_VEBT > $o)).
% 16.09/6.42 thf(func_def_1780, type, sK1071: (nat > vEBT_VEBT > $o)).
% 16.09/6.42 thf(func_def_1781, type, sK1072: (nat > vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1782, type, sK1073: (nat > vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1783, type, sK1074: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1784, type, sK1075: (nat > vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1785, type, sK1076: (nat > vEBT_VEBT > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1786, type, sK1077: (nat > nat > nat > nat)).
% 16.09/6.42 thf(func_def_1787, type, sK1078: !>[X0: $tType]:((set @ X0 > nat > set @ X0))).
% 16.09/6.42 thf(func_def_1788, type, sK1079: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 16.09/6.42 thf(func_def_1789, type, sK1080: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1790, type, sK1081: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1791, type, sK1082: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1792, type, sK1083: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 16.09/6.42 thf(func_def_1793, type, sK1084: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 16.09/6.42 thf(func_def_1794, type, sK1085: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1795, type, sK1086: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > (X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1796, type, sK1087: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > (X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1797, type, sK1088: ((nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1798, type, sK1089: (nat > (nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1799, type, sK1090: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1800, type, sK1091: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0 > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1801, type, sK1092: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0 > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1802, type, sK1093: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.42 thf(func_def_1803, type, sK1094: ((nat > nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1804, type, sK1095: ((nat > nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1805, type, sK1096: ((nat > nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1806, type, sK1097: ((nat > nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1807, type, sK1098: ((nat > nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1808, type, sK1099: !>[X0: $tType]:((nat > list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1809, type, sK1100: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1810, type, sK1101: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 16.09/6.42 thf(func_def_1811, type, sK1102: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 16.09/6.42 thf(func_def_1812, type, sK1103: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X1 > X0 > $o) > list @ X0 > list @ X1))).
% 16.09/6.42 thf(func_def_1813, type, sK1104: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X1 > X0 > $o) > list @ X0 > list @ X1))).
% 16.09/6.42 thf(func_def_1814, type, sK1105: !>[X0: $tType]:((list @ X0 > nat))).
% 16.09/6.42 thf(func_def_1815, type, sK1106: !>[X0: $tType]:((list @ X0 > nat))).
% 16.09/6.42 thf(func_def_1816, type, sK1107: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > set @ X1))).
% 16.09/6.42 thf(func_def_1817, type, sK1108: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > X1 > X0))).
% 16.09/6.42 thf(func_def_1818, type, sK1109: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ set @ X1 > set @ X1))).
% 16.09/6.42 thf(func_def_1819, type, sK1110: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ set @ X1 > set @ X1))).
% 16.09/6.42 thf(func_def_1820, type, sK1111: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1821, type, sK1112: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1822, type, sK1113: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_1823, type, sK1114: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1824, type, sK1115: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1825, type, sK1116: !>[X0: $tType]:((set @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1826, type, sK1117: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1 > (X1 > X0) > X1 > X1))).
% 16.09/6.42 thf(func_def_1827, type, sK1118: !>[X0: $tType]:((list @ X0 > (X0 > $o) > nat))).
% 16.09/6.42 thf(func_def_1828, type, sK1119: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1829, type, sK1120: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X0 > $o) > (X1 > X0) > (X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_1830, type, sK1121: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1831, type, sK1122: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1832, type, sK1123: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1833, type, sK1124: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1834, type, sK1125: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 16.09/6.42 thf(func_def_1835, type, sK1126: !>[X0: $tType]:((set @ X0 > nat))).
% 16.09/6.42 thf(func_def_1836, type, sK1127: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1837, type, sK1128: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1838, type, sK1129: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 16.09/6.42 thf(func_def_1839, type, sK1130: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 16.09/6.42 thf(func_def_1840, type, sK1131: !>[X0: $tType]:((list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1841, type, sK1132: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1842, type, sK1133: ((nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1843, type, sK1134: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > (X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_1844, type, sK1135: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_1845, type, sK1136: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X2 > (X1 > X0) > (X2 > X1) > X2))).
% 16.09/6.42 thf(func_def_1846, type, sK1137: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X2 > (X1 > X0) > (X2 > X1) > X2))).
% 16.09/6.42 thf(func_def_1847, type, sK1138: !>[X0: $tType]:((nat > set @ set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1848, type, sK1139: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1849, type, sK1140: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1850, type, sK1141: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1851, type, sK1142: (nat > nat)).
% 16.09/6.42 thf(func_def_1852, type, sK1143: (nat > nat > nat)).
% 16.09/6.42 thf(func_def_1853, type, sK1144: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1854, type, sK1145: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > set @ X1 > X0))).
% 16.09/6.42 thf(func_def_1855, type, sK1146: ((nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1856, type, sK1147: ((nat > $o) > nat > nat)).
% 16.09/6.42 thf(func_def_1857, type, sK1148: !>[X0: $tType]:((list @ X0 > list @ X0 > nat > nat))).
% 16.09/6.42 thf(func_def_1858, type, sK1149: !>[X0: $tType]:(((nat > nat) > list @ X0 > list @ X0 > nat))).
% 16.09/6.42 thf(func_def_1859, type, sK1150: !>[X0: $tType]:(((nat > nat) > list @ X0 > nat))).
% 16.09/6.42 thf(func_def_1860, type, sK1151: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > set @ X0 > X1))).
% 16.09/6.42 thf(func_def_1861, type, sK1152: ((nat > nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1862, type, sK1153: ((nat > nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1863, type, sK1154: ((nat > nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1864, type, sK1155: !>[X0: $tType, X1: $tType]:((set @ X0 > (set @ X1 > $o) > (X0 > X1) > set @ X0))).
% 16.09/6.42 thf(func_def_1865, type, sK1156: !>[X0: $tType, X1: $tType]:((set @ X0 > (set @ X1 > $o) > (X0 > X1) > set @ X1))).
% 16.09/6.42 thf(func_def_1866, type, sK1157: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1867, type, sK1158: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > nat > X0))).
% 16.09/6.42 thf(func_def_1868, type, sK1159: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > nat > nat))).
% 16.09/6.42 thf(func_def_1869, type, sK1160: !>[X0: $tType]:((X0 > nat > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1870, type, sK1161: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1871, type, sK1162: !>[X0: $tType]:((list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1872, type, sK1163: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1873, type, sK1164: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1874, type, sK1165: !>[X0: $tType]:((set @ X0 > set @ X0 > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1875, type, sK1166: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1876, type, sK1167: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1877, type, sK1168: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1878, type, sK1169: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1879, type, sK1170: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1880, type, sK1171: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1881, type, sK1172: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1882, type, sK1173: (nat > nat > nat)).
% 16.09/6.42 thf(func_def_1883, type, sK1174: !>[X0: $tType]:((list @ X0 > X0 > (X0 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1884, type, sK1175: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > product_prod @ list @ X0 @ list @ X0))).
% 16.09/6.42 thf(func_def_1885, type, sK1176: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 16.09/6.42 thf(func_def_1886, type, sK1177: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1887, type, sK1178: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1888, type, sK1179: ((nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1889, type, sK1180: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ list @ X0))).
% 16.09/6.42 thf(func_def_1890, type, sK1181: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1891, type, sK1182: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ list @ X0))).
% 16.09/6.42 thf(func_def_1892, type, sK1183: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1893, type, sK1184: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > X0))).
% 16.09/6.42 thf(func_def_1894, type, sK1185: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > nat))).
% 16.09/6.42 thf(func_def_1895, type, sK1186: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > nat > X0 > X0))).
% 16.09/6.42 thf(func_def_1896, type, sK1187: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > nat))).
% 16.09/6.42 thf(func_def_1897, type, sK1188: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1898, type, sK1189: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X1 > X0) > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1899, type, sK1190: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1900, type, sK1191: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1901, type, sK1192: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1902, type, sK1193: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1903, type, sK1194: (nat > real > real)).
% 16.09/6.42 thf(func_def_1904, type, sK1195: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 16.09/6.42 thf(func_def_1905, type, sK1196: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 16.09/6.42 thf(func_def_1906, type, sK1197: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > (list @ product_prod @ X1 @ X0 > $o) > list @ X0))).
% 16.09/6.42 thf(func_def_1907, type, sK1198: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > (list @ product_prod @ X1 @ X0 > $o) > list @ X1))).
% 16.09/6.42 thf(func_def_1908, type, sK1199: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > (list @ product_prod @ X1 @ X0 > $o) > nat))).
% 16.09/6.42 thf(func_def_1909, type, sK1200: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > nat) > set @ X0 > (X1 > X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1910, type, sK1201: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1911, type, sK1202: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.42 thf(func_def_1912, type, sK1203: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.42 thf(func_def_1913, type, sK1204: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > set @ X1 > X1))).
% 16.09/6.42 thf(func_def_1914, type, sK1205: !>[X0: $tType]:((X0 > X0))).
% 16.09/6.42 thf(func_def_1915, type, sK1206: ((nat > $o) > nat > nat)).
% 16.09/6.42 thf(func_def_1916, type, sK1207: ((nat > $o) > nat > nat)).
% 16.09/6.42 thf(func_def_1917, type, sK1208: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 16.09/6.42 thf(func_def_1918, type, sK1209: !>[X0: $tType]:((nat > (X0 > $o) > (X0 > nat) > X0))).
% 16.09/6.42 thf(func_def_1919, type, sK1210: !>[X0: $tType]:((set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1920, type, sK1211: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1921, type, sK1212: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1922, type, sK1213: (nat > (nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1923, type, sK1214: (nat > (nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1924, type, sK1215: (int > (int > $o) > int)).
% 16.09/6.42 thf(func_def_1925, type, sK1216: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > (X1 > X0) > X1))).
% 16.09/6.42 thf(func_def_1926, type, sK1217: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1927, type, sK1218: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 16.09/6.42 thf(func_def_1928, type, sK1219: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 16.09/6.42 thf(func_def_1929, type, sK1220: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 16.09/6.42 thf(func_def_1930, type, sK1221: !>[X0: $tType]:(((X0 > $o) > X0))).
% 16.09/6.42 thf(func_def_1931, type, sK1222: ((int > $o) > nat)).
% 16.09/6.42 thf(func_def_1932, type, sK1223: ((int > $o) > nat)).
% 16.09/6.42 thf(func_def_1933, type, sK1224: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ product_prod @ X0 @ X1 > product_prod @ X0 @ X1 > list @ X1 > X0))).
% 16.09/6.42 thf(func_def_1934, type, sK1225: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ product_prod @ X0 @ X1 > product_prod @ X0 @ X1 > list @ X1 > list @ X0))).
% 16.09/6.42 thf(func_def_1935, type, sK1226: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ product_prod @ X0 @ X1 > product_prod @ X0 @ X1 > list @ X1 > X1))).
% 16.09/6.42 thf(func_def_1936, type, sK1227: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ product_prod @ X0 @ X1 > product_prod @ X0 @ X1 > list @ X1 > list @ X1))).
% 16.09/6.42 thf(func_def_1937, type, sK1228: (filter @ nat > nat)).
% 16.09/6.42 thf(func_def_1938, type, sK1229: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X0 > (X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1939, type, sK1230: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X0 > (X0 > X1) > X0))).
% 16.09/6.42 thf(func_def_1940, type, sK1231: !>[X0: $tType]:((set @ set @ X0 > set @ set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1941, type, sK1232: !>[X0: $tType]:((set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1942, type, sK1233: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > filter @ X0) > (X0 > $o) > X1))).
% 16.09/6.42 thf(func_def_1943, type, sK1234: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > filter @ X0) > X1))).
% 16.09/6.42 thf(func_def_1944, type, sK1235: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > filter @ X0) > X1))).
% 16.09/6.42 thf(func_def_1945, type, sK1236: !>[X0: $tType, X1: $tType]:(((X0 > filter @ X1) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1946, type, sK1237: !>[X0: $tType, X1: $tType]:(((X0 > filter @ X1) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1947, type, sK1238: !>[X0: $tType, X1: $tType]:(((X0 > filter @ X1) > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1948, type, sK1239: !>[X0: $tType]:((X0 > set @ set @ X0 > set @ X0))).
% 16.09/6.42 thf(func_def_1949, type, sK1240: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > $o) > set @ X1 > X0))).
% 16.09/6.42 thf(func_def_1950, type, sK1241: (nat > (nat > nat) > nat)).
% 16.09/6.42 thf(func_def_1951, type, sK1242: (nat > (nat > nat) > nat)).
% 16.09/6.42 thf(func_def_1952, type, sK1243: (nat > (nat > nat) > nat)).
% 16.09/6.42 thf(func_def_1953, type, sK1244: (nat > (nat > nat) > nat)).
% 16.09/6.42 thf(func_def_1954, type, sK1245: (nat > list @ vEBT_VEBT > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1955, type, sK1246: ((nat > nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1956, type, sK1247: ((nat > nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1957, type, sK1248: ((nat > nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1958, type, sK1249: ((nat > nat > $o) > nat)).
% 16.09/6.42 thf(func_def_1959, type, sK1250: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 16.09/6.42 thf(func_def_1960, type, sK1251: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X1 > set @ X0 > X0))).
% 16.09/6.42 thf(func_def_1961, type, sK1252: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X1 > X0 > $o) > nat))).
% 16.09/6.42 thf(func_def_1962, type, sK1253: (vEBT_VEBT > product_prod @ nat @ nat)).
% 16.09/6.42 thf(func_def_1963, type, sK1254: (vEBT_VEBT > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1964, type, sK1255: (vEBT_VEBT > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1965, type, sK1256: (vEBT_VEBT > nat)).
% 16.09/6.42 thf(func_def_1966, type, sK1257: (vEBT_VEBT > $o)).
% 16.09/6.42 thf(func_def_1967, type, sK1258: (vEBT_VEBT > $o)).
% 16.09/6.42 thf(func_def_1968, type, sK1259: (vEBT_VEBT > vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1969, type, sK1260: (vEBT_VEBT > list @ vEBT_VEBT)).
% 16.09/6.42 thf(func_def_1970, type, sK1261: (vEBT_VEBT > nat)).
% 16.09/6.42 thf(f1,axiom,(
% 16.09/6.42 (i = ((vEBT_VEBT_high @ mi @ na)))),
% 16.09/6.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_True)).
% 16.09/6.42 thf(f2,axiom,(
% 16.09/6.42 (((nth @ vEBT_VEBT @ (list_update @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na) @ (vEBT_vebt_insert @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na)) @ (vEBT_VEBT_low @ mi @ na))) @ (vEBT_VEBT_high @ mi @ na))) = ((vEBT_vebt_insert @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na)) @ (vEBT_VEBT_low @ mi @ na))))),
% 16.09/6.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_insprop)).
% 16.09/6.42 thf(f8824,conjecture,(
% 16.09/6.42 (((nth @ vEBT_VEBT @ (list_update @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na) @ (vEBT_vebt_insert @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na)) @ (vEBT_VEBT_low @ mi @ na))) @ i)) = ((vEBT_vebt_insert @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na)) @ (vEBT_VEBT_low @ mi @ na))))),
% 16.09/6.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 16.09/6.42 thf(f8825,negated_conjecture,(
% 16.09/6.42 ~ (((nth @ vEBT_VEBT @ (list_update @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na) @ (vEBT_vebt_insert @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na)) @ (vEBT_VEBT_low @ mi @ na))) @ i)) = ((vEBT_vebt_insert @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na)) @ (vEBT_VEBT_low @ mi @ na))))),
% 16.09/6.42 inference(negated_conjecture,[status(cth)],[f8824])).
% 16.09/6.42 thf(f13688,plain,(
% 16.09/6.42 (((vEBT_vebt_insert @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na)) @ (vEBT_VEBT_low @ mi @ na))) = ((nth @ vEBT_VEBT @ (list_update @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na) @ (vEBT_vebt_insert @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na)) @ (vEBT_VEBT_low @ mi @ na))) @ (vEBT_VEBT_high @ mi @ na))))),
% 16.09/6.42 inference(fool_elimination,[],[f2])).
% 16.09/6.42 thf(f15715,plain,(
% 16.09/6.42 ~ (((vEBT_vebt_insert @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na)) @ (vEBT_VEBT_low @ mi @ na))) = ((nth @ vEBT_VEBT @ (list_update @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na) @ (vEBT_vebt_insert @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na)) @ (vEBT_VEBT_low @ mi @ na))) @ i)))),
% 16.09/6.42 inference(fool_elimination,[],[f8825])).
% 16.09/6.42 thf(f25621,plain,(
% 16.09/6.42 (i = ((vEBT_VEBT_high @ mi @ na)))),
% 16.09/6.42 inference(fool_elimination,[],[f1])).
% 16.09/6.42 thf(f25693,plain,(
% 16.09/6.42 (((vEBT_vebt_insert @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na)) @ (vEBT_VEBT_low @ mi @ na))) != ((nth @ vEBT_VEBT @ (list_update @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na) @ (vEBT_vebt_insert @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na)) @ (vEBT_VEBT_low @ mi @ na))) @ i)))),
% 16.09/6.43 inference(flattening,[],[f15715])).
% 16.09/6.43 thf(f33732,plain,(
% 16.09/6.43 (i = ((vEBT_VEBT_high @ mi @ na)))),
% 16.09/6.43 inference(cnf_transformation,[],[f25621])).
% 16.09/6.43 thf(f34488,plain,(
% 16.09/6.43 (((vEBT_vebt_insert @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na)) @ (vEBT_VEBT_low @ mi @ na))) = ((nth @ vEBT_VEBT @ (list_update @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na) @ (vEBT_vebt_insert @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na)) @ (vEBT_VEBT_low @ mi @ na))) @ (vEBT_VEBT_high @ mi @ na))))),
% 16.09/6.43 inference(cnf_transformation,[],[f13688])).
% 16.09/6.43 thf(f34740,plain,(
% 16.09/6.43 (((vEBT_vebt_insert @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na)) @ (vEBT_VEBT_low @ mi @ na))) != ((nth @ vEBT_VEBT @ (list_update @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na) @ (vEBT_vebt_insert @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na)) @ (vEBT_VEBT_low @ mi @ na))) @ i)))),
% 16.09/6.43 inference(cnf_transformation,[],[f25693])).
% 16.09/6.43 thf(f39287,definition,(
% 16.09/6.43 spl1262_35 <=> (i = ((vEBT_VEBT_high @ mi @ na)))),
% 16.09/6.43 introduced(definition,[new_symbols(definition,[spl1262_35])],[avatar_definition])).
% 16.09/6.43 thf(f39290,plain,(
% 16.09/6.43 spl1262_35),
% 16.09/6.43 inference(avatar_split_clause,[],[f33732,f39287])).
% 16.09/6.43 thf(f39507,definition,(
% 16.09/6.43 spl1262_80 <=> (((vEBT_vebt_insert @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na)) @ (vEBT_VEBT_low @ mi @ na))) = ((nth @ vEBT_VEBT @ (list_update @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na) @ (vEBT_vebt_insert @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na)) @ (vEBT_VEBT_low @ mi @ na))) @ (vEBT_VEBT_high @ mi @ na))))),
% 16.09/6.43 introduced(definition,[new_symbols(definition,[spl1262_80])],[avatar_definition])).
% 16.09/6.43 thf(f39510,plain,(
% 16.09/6.43 spl1262_80),
% 16.09/6.43 inference(avatar_split_clause,[],[f34488,f39507])).
% 16.09/6.43 thf(f40116,definition,(
% 16.09/6.43 spl1262_204 <=> (((vEBT_vebt_insert @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na)) @ (vEBT_VEBT_low @ mi @ na))) = ((nth @ vEBT_VEBT @ (list_update @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na) @ (vEBT_vebt_insert @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na)) @ (vEBT_VEBT_low @ mi @ na))) @ i)))),
% 16.09/6.43 introduced(definition,[new_symbols(definition,[spl1262_204])],[avatar_definition])).
% 16.09/6.43 thf(f40119,plain,(
% 16.09/6.43 ~spl1262_204),
% 16.09/6.43 inference(avatar_split_clause,[],[f34740,f40116])).
% 16.09/6.43 thf(f40145,definition,(
% 16.09/6.43 (i != ((vEBT_VEBT_high @ mi @ na))) | (((vEBT_vebt_insert @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na)) @ (vEBT_VEBT_low @ mi @ na))) != ((nth @ vEBT_VEBT @ (list_update @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na) @ (vEBT_vebt_insert @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na)) @ (vEBT_VEBT_low @ mi @ na))) @ (vEBT_VEBT_high @ mi @ na)))) | (((vEBT_vebt_insert @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na)) @ (vEBT_VEBT_low @ mi @ na))) = ((nth @ vEBT_VEBT @ (list_update @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na) @ (vEBT_vebt_insert @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ mi @ na)) @ (vEBT_VEBT_low @ mi @ na))) @ i)))),
% 16.09/6.43 introduced(theory,[theory_tautology_sat_conflict])).
% 16.09/6.43 cnf(s33, plain, spl1262_35, inference(sat_conversion,[],[f39290])).
% 16.09/6.43 cnf(s80, plain, spl1262_80, inference(sat_conversion,[],[f39510])).
% 16.09/6.43 cnf(s219, plain, ~spl1262_204, inference(sat_conversion,[],[f40119])).
% 16.09/6.43 cnf(s227, plain, ~spl1262_35 | ~spl1262_80 | spl1262_204, inference(sat_conversion,[],[f40145])).
% 16.09/6.43 cnf(s228, plain, ~spl1262_35, inference(rat,[],[s227,s219,s80])).
% 16.09/6.43 cnf(s229, plain, $false, inference(rat,[],[s33,s228])).
% 16.09/6.43 thf(f40146,plain,(
% 16.09/6.43 $false),
% 16.09/6.43 inference(avatar_sat_refutation,[],[s229])).
% 16.09/6.43 % SZS output end Proof for theBenchmark
% 16.09/6.43 % (3168878)------------------------------
% 16.09/6.43 % (3168878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.09/6.43 % (3168878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.09/6.43 % (3168878)CaDiCaL version: 2.1.3
% 16.09/6.43 % (3168878)Termination reason: Refutation
% 16.09/6.43 % (3168878)Time elapsed: 0.945 s
% 16.09/6.43 % (3168878)Peak memory usage: 57 MB
% 16.09/6.43 % (3168878)Instructions burned: 3368 (million)
% 16.09/6.43 % (3168739)Success in time 2.766 s
% 16.09/6.43 % Vampire exiting
%------------------------------------------------------------------------------