%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP278^2 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 08:09:48 AM UTC 2026
% Result : Theorem 20.60s 7.22s
% Output : Refutation 20.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP278^2 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.21 % Computer : n017.cluster.edu
% 0.12/0.21 % Model : x86_64 x86_64
% 0.12/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.21 % Memory : 8046.5625MB
% 0.12/0.21 % OS : Linux 6.8.0-71-generic
% 0.12/0.21 % CPULimit : 300
% 0.12/0.21 % WCLimit : 300
% 0.12/0.21 % DateTime : Tue Sep 29 20:48:22 UTC 2026
% 0.12/0.21 % CPUTime :
% 0.12/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.26 Running higher-order theorem proving
% 3.87/3.99 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
% 5.14/4.98 % (879299)Detected a higher-order problem, will run a greedy HOL sequence.
% 5.14/4.98 % (879305)lrs+10_16_si=on:nwc=1.5:random_seed=3146838646:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2992 on theBenchmark for (2992ds/18Mi)
% 5.14/4.98 % (879304)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2421203689:s2a=on:i=87:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/87Mi)
% 5.14/4.98 % (879306)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3895451178:i=3:rtra=on:inj=on:ntd=on_2992 on theBenchmark for (2992ds/3Mi)
% 5.14/4.98 % (879307)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=3071554524: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_2992 on theBenchmark for (2992ds/634Mi)
% 5.14/4.98 % (879309)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2916669003:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/75Mi)
% 5.14/4.98 % (879306)Instruction limit reached!
% 5.14/4.98 % (879306)------------------------------
% 5.14/4.98 % (879306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.14/4.98 % (879306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/4.98 % (879306)CaDiCaL version: 2.1.3
% 5.14/4.98 % (879306)Termination reason: Instruction limit
% 5.14/4.98 % (879306)Termination phase: shuffling
% 5.14/4.98 % (879306)Time elapsed: 0.006 s
% 5.14/4.98 % (879306)Peak memory usage: 25 MB
% 5.14/4.98 % (879306)Instructions burned: 3 (million)
% 5.14/4.98 % (879310)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.14/4.98 % (879310)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
% 5.14/4.98 % (879308)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1781390284:i=24:av=off:rtra=on_2992 on theBenchmark for (2992ds/24Mi)
% 5.14/4.98 % (879310)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=3531147877:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2992 on theBenchmark for (2992ds/157Mi)
% 5.14/4.98 % (879305)Instruction limit reached!
% 5.14/4.98 % (879305)------------------------------
% 5.14/4.98 % (879305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.14/4.98 % (879305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/4.98 % (879305)CaDiCaL version: 2.1.3
% 5.14/4.98 % (879305)Termination reason: Instruction limit
% 5.14/4.98 % (879305)Termination phase: shuffling
% 5.14/4.98 % (879305)Time elapsed: 0.022 s
% 5.14/4.98 % (879305)Peak memory usage: 26 MB
% 5.14/4.98 % (879305)Instructions burned: 19 (million)
% 5.14/4.98 % (879316)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1563779775:i=2:hud=10:rtra=on_2991 on theBenchmark for (2991ds/2Mi)
% 5.14/4.98 % (879316)Instruction limit reached!
% 5.14/4.98 % (879316)------------------------------
% 5.14/4.98 % (879316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.14/4.98 % (879316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/4.98 % (879316)CaDiCaL version: 2.1.3
% 5.14/4.98 % (879316)Termination reason: Instruction limit
% 5.14/4.98 % (879316)Termination phase: shuffling
% 5.14/4.98 % (879316)Time elapsed: 0.003 s
% 5.14/4.98 % (879316)Peak memory usage: 25 MB
% 5.14/4.98 % (879316)Instructions burned: 2 (million)
% 5.14/4.98 % (879319)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3417955857:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2991 on theBenchmark for (2991ds/5Mi)
% 5.14/4.98 % (879321)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 5.14/4.98 % (879309)Instruction limit reached!
% 5.14/4.98 % (879309)------------------------------
% 5.14/4.98 % (879309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.14/4.98 % (879309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/4.98 % (879309)CaDiCaL version: 2.1.3
% 5.14/4.98 % (879309)Termination reason: Instruction limit
% 5.14/4.98 % (879309)Termination phase: shuffling
% 6.17/5.06 % (879309)Time elapsed: 0.048 s
% 6.17/5.06 % (879309)Peak memory usage: 27 MB
% 6.17/5.06 % (879309)Instructions burned: 75 (million)
% 6.17/5.06 % (879308)Instruction limit reached!
% 6.17/5.06 % (879308)------------------------------
% 6.17/5.06 % (879308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/5.06 % (879308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/5.06 % (879308)CaDiCaL version: 2.1.3
% 6.17/5.06 % (879308)Termination reason: Instruction limit
% 6.17/5.06 % (879308)Termination phase: shuffling
% 6.17/5.06 % (879308)Time elapsed: 0.036 s
% 6.17/5.06 % (879308)Peak memory usage: 26 MB
% 6.17/5.06 % (879308)Instructions burned: 24 (million)
% 6.17/5.06 % (879321)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=382357792:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2991 on theBenchmark for (2991ds/7Mi)
% 6.17/5.06 % (879319)Instruction limit reached!
% 6.17/5.06 % (879319)------------------------------
% 6.17/5.06 % (879319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/5.06 % (879319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/5.06 % (879319)CaDiCaL version: 2.1.3
% 6.17/5.06 % (879319)Termination reason: Instruction limit
% 6.17/5.06 % (879319)Termination phase: shuffling
% 6.17/5.06 % (879319)Time elapsed: 0.009 s
% 6.17/5.06 % (879319)Peak memory usage: 25 MB
% 6.17/5.06 % (879319)Instructions burned: 5 (million)
% 6.17/5.06 % (879304)Instruction limit reached!
% 6.17/5.06 % (879304)------------------------------
% 6.17/5.06 % (879304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/5.06 % (879304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/5.06 % (879304)CaDiCaL version: 2.1.3
% 6.17/5.06 % (879304)Termination reason: Instruction limit
% 6.17/5.06 % (879304)Termination phase: shuffling
% 6.17/5.06 % (879304)Time elapsed: 0.056 s
% 6.17/5.06 % (879304)Peak memory usage: 27 MB
% 6.17/5.06 % (879304)Instructions burned: 89 (million)
% 6.17/5.06 % (879321)Instruction limit reached!
% 6.17/5.06 % (879321)------------------------------
% 6.17/5.06 % (879321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/5.06 % (879321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/5.06 % (879321)CaDiCaL version: 2.1.3
% 6.17/5.06 % (879321)Termination reason: Instruction limit
% 6.17/5.06 % (879321)Termination phase: shuffling
% 6.17/5.06 % (879321)Time elapsed: 0.013 s
% 6.17/5.06 % (879321)Peak memory usage: 25 MB
% 6.17/5.06 % (879321)Instructions burned: 7 (million)
% 6.17/5.06 % (879324)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1039374582:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2991 on theBenchmark for (2991ds/12Mi)
% 6.17/5.06 % (879327)lrs+10_1_si=on:cs=on:random_seed=3589989183:i=8:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/8Mi)
% 6.17/5.06 % (879328)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 6.17/5.06 % (879325)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
% 6.17/5.06 % (879325)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 6.17/5.06 % (879328)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=254346827:i=2:add=on:rtra=on_2991 on theBenchmark for (2991ds/2Mi)
% 6.17/5.06 % (879328)Instruction limit reached!
% 6.17/5.06 % (879328)------------------------------
% 6.17/5.06 % (879328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/5.06 % (879328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/5.06 % (879328)CaDiCaL version: 2.1.3
% 6.17/5.06 % (879328)Termination reason: Instruction limit
% 6.17/5.06 % (879328)Termination phase: shuffling
% 6.17/5.06 % (879328)Time elapsed: 0.003 s
% 6.17/5.06 % (879328)Peak memory usage: 25 MB
% 6.17/5.06 % (879328)Instructions burned: 2 (million)
% 6.17/5.06 % (879324)Instruction limit reached!
% 6.17/5.06 % (879324)------------------------------
% 6.17/5.06 % (879324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/5.06 % (879324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/5.11 % (879324)CaDiCaL version: 2.1.3
% 6.17/5.11 % (879324)Termination reason: Instruction limit
% 6.17/5.11 % (879324)Termination phase: shuffling
% 6.17/5.11 % (879324)Time elapsed: 0.018 s
% 6.17/5.11 % (879324)Peak memory usage: 26 MB
% 6.17/5.11 % (879324)Instructions burned: 12 (million)
% 6.17/5.11 % (879327)Instruction limit reached!
% 6.17/5.11 % (879327)------------------------------
% 6.17/5.11 % (879327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/5.11 % (879327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/5.11 % (879327)CaDiCaL version: 2.1.3
% 6.17/5.11 % (879327)Termination reason: Instruction limit
% 6.17/5.11 % (879327)Termination phase: shuffling
% 6.17/5.11 % (879327)Time elapsed: 0.014 s
% 6.17/5.11 % (879327)Peak memory usage: 25 MB
% 6.17/5.11 % (879327)Instructions burned: 8 (million)
% 6.17/5.11 % (879326)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=1676593551:i=86:piset=equals:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/86Mi)
% 6.17/5.11 % (879325)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3959512581:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2991 on theBenchmark for (2991ds/28Mi)
% 6.17/5.11 % (879332)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3025351047:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2990 on theBenchmark for (2990ds/38Mi)
% 6.17/5.11 % (879333)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1552864453:st=2:i=249:sd=1:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/249Mi)
% 6.17/5.11 % (879334)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1846873880:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2990 on theBenchmark for (2990ds/25Mi)
% 6.17/5.11 % (879334)Instruction limit reached!
% 6.17/5.11 % (879334)------------------------------
% 6.17/5.11 % (879334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/5.11 % (879334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/5.11 % (879334)CaDiCaL version: 2.1.3
% 6.17/5.11 % (879334)Termination reason: Instruction limit
% 6.17/5.11 % (879334)Termination phase: shuffling
% 6.17/5.11 % (879334)Time elapsed: 0.024 s
% 6.17/5.11 % (879334)Peak memory usage: 26 MB
% 6.17/5.11 % (879334)Instructions burned: 27 (million)
% 6.17/5.11 % (879332)Instruction limit reached!
% 6.17/5.11 % (879332)------------------------------
% 6.17/5.11 % (879332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/5.11 % (879332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/5.11 % (879332)CaDiCaL version: 2.1.3
% 6.17/5.11 % (879332)Termination reason: Instruction limit
% 6.17/5.11 % (879332)Termination phase: shuffling
% 6.17/5.11 % (879332)Time elapsed: 0.031 s
% 6.17/5.11 % (879332)Peak memory usage: 26 MB
% 6.17/5.11 % (879332)Instructions burned: 39 (million)
% 6.17/5.11 % (879325)Instruction limit reached!
% 6.17/5.11 % (879325)------------------------------
% 6.17/5.11 % (879325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/5.11 % (879325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/5.11 % (879325)CaDiCaL version: 2.1.3
% 6.17/5.11 % (879325)Termination reason: Instruction limit
% 6.17/5.11 % (879325)Termination phase: shuffling
% 6.17/5.11 % (879325)Time elapsed: 0.057 s
% 6.17/5.11 % (879325)Peak memory usage: 26 MB
% 6.17/5.11 % (879325)Instructions burned: 29 (million)
% 6.17/5.11 % (879310)Instruction limit reached!
% 6.17/5.11 % (879310)------------------------------
% 6.17/5.11 % (879310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/5.11 % (879310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/5.11 % (879310)CaDiCaL version: 2.1.3
% 6.17/5.11 % (879310)Termination reason: Instruction limit
% 6.17/5.11 % (879310)Termination phase: shuffling
% 6.17/5.11 % (879310)Time elapsed: 0.138 s
% 6.17/5.11 % (879310)Peak memory usage: 28 MB
% 6.17/5.11 % (879310)Instructions burned: 158 (million)
% 6.17/5.11 % (879340)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=60402407:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2990 on theBenchmark for (2990ds/14Mi)
% 6.17/5.11 % (879341)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1622428170:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/327Mi)
% 6.88/5.18 % (879344)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2241847449:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2990 on theBenchmark for (2990ds/2Mi)
% 6.88/5.18 % (879340)Instruction limit reached!
% 6.88/5.18 % (879340)------------------------------
% 6.88/5.18 % (879340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.88/5.18 % (879340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/5.18 % (879340)CaDiCaL version: 2.1.3
% 6.88/5.18 % (879340)Termination reason: Instruction limit
% 6.88/5.18 % (879340)Termination phase: shuffling
% 6.88/5.18 % (879340)Time elapsed: 0.020 s
% 6.88/5.18 % (879340)Peak memory usage: 26 MB
% 6.88/5.18 % (879340)Instructions burned: 15 (million)
% 6.88/5.18 % (879344)Instruction limit reached!
% 6.88/5.18 % (879344)------------------------------
% 6.88/5.18 % (879344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.88/5.18 % (879344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/5.18 % (879344)CaDiCaL version: 2.1.3
% 6.88/5.18 % (879344)Termination reason: Instruction limit
% 6.88/5.18 % (879344)Termination phase: shuffling
% 6.88/5.18 % (879344)Time elapsed: 0.004 s
% 6.88/5.18 % (879344)Peak memory usage: 25 MB
% 6.88/5.18 % (879344)Instructions burned: 2 (million)
% 6.88/5.18 % (879342)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1676362541:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/14Mi)
% 6.88/5.18 % (879347)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2698838786:i=26:ep=R:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/26Mi)
% 6.88/5.18 % (879348)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=816437414:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2989 on theBenchmark for (2989ds/23Mi)
% 6.88/5.18 % (879326)Instruction limit reached!
% 6.88/5.18 % (879326)------------------------------
% 6.88/5.18 % (879326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.88/5.18 % (879326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/5.18 % (879326)CaDiCaL version: 2.1.3
% 6.88/5.18 % (879326)Termination reason: Instruction limit
% 6.88/5.18 % (879326)Termination phase: shuffling
% 6.88/5.18 % (879326)Time elapsed: 0.104 s
% 6.88/5.18 % (879326)Peak memory usage: 27 MB
% 6.88/5.18 % (879326)Instructions burned: 88 (million)
% 6.88/5.18 % (879342)Instruction limit reached!
% 6.88/5.18 % (879342)------------------------------
% 6.88/5.18 % (879342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.88/5.18 % (879342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/5.18 % (879342)CaDiCaL version: 2.1.3
% 6.88/5.18 % (879342)Termination reason: Instruction limit
% 6.88/5.18 % (879342)Termination phase: shuffling
% 6.88/5.18 % (879342)Time elapsed: 0.028 s
% 6.88/5.18 % (879342)Peak memory usage: 26 MB
% 6.88/5.18 % (879342)Instructions burned: 16 (million)
% 6.88/5.18 % (879347)Instruction limit reached!
% 6.88/5.18 % (879347)------------------------------
% 6.88/5.18 % (879347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.88/5.18 % (879347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/5.18 % (879347)CaDiCaL version: 2.1.3
% 6.88/5.18 % (879347)Termination reason: Instruction limit
% 6.88/5.18 % (879347)Termination phase: shuffling
% 6.88/5.18 % (879347)Time elapsed: 0.025 s
% 6.88/5.18 % (879347)Peak memory usage: 26 MB
% 6.88/5.18 % (879347)Instructions burned: 26 (million)
% 6.88/5.18 % (879348)Instruction limit reached!
% 6.88/5.18 % (879348)------------------------------
% 6.88/5.18 % (879348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.88/5.18 % (879348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/5.18 % (879348)CaDiCaL version: 2.1.3
% 6.88/5.18 % (879348)Termination reason: Instruction limit
% 6.88/5.18 % (879348)Termination phase: shuffling
% 6.88/5.18 % (879348)Time elapsed: 0.027 s
% 6.88/5.18 % (879348)Peak memory usage: 26 MB
% 6.88/5.18 % (879348)Instructions burned: 30 (million)
% 6.88/5.18 % (879353)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
% 6.88/5.18 % (879353)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 7.03/5.26 % (879352)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1740527672:cond=on:i=60:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/60Mi)
% 7.03/5.26 % (879333)Instruction limit reached!
% 7.03/5.26 % (879333)------------------------------
% 7.03/5.26 % (879333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.03/5.26 % (879333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/5.26 % (879333)CaDiCaL version: 2.1.3
% 7.03/5.26 % (879333)Termination reason: Instruction limit
% 7.03/5.26 % (879333)Termination phase: shuffling
% 7.03/5.26 % (879333)Time elapsed: 0.131 s
% 7.03/5.26 % (879333)Peak memory usage: 30 MB
% 7.03/5.26 % (879333)Instructions burned: 250 (million)
% 7.03/5.26 % (879354)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 7.03/5.26 % (879353)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=2158289231:i=14:add=off:nm=40:rtra=on:rawr=on_2989 on theBenchmark for (2989ds/14Mi)
% 7.03/5.26 % (879354)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=3230023468:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2989 on theBenchmark for (2989ds/8Mi)
% 7.03/5.26 % (879355)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=4128194166:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2989 on theBenchmark for (2989ds/31Mi)
% 7.03/5.26 % (879354)Instruction limit reached!
% 7.03/5.26 % (879354)------------------------------
% 7.03/5.26 % (879354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.03/5.26 % (879354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/5.26 % (879354)CaDiCaL version: 2.1.3
% 7.03/5.26 % (879354)Termination reason: Instruction limit
% 7.03/5.26 % (879354)Termination phase: shuffling
% 7.03/5.26 % (879354)Time elapsed: 0.014 s
% 7.03/5.26 % (879354)Peak memory usage: 25 MB
% 7.03/5.26 % (879354)Instructions burned: 8 (million)
% 7.03/5.26 % (879358)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=323998324:i=7:hud=5:bd=preordered:rtra=on:bet=on_2989 on theBenchmark for (2989ds/7Mi)
% 7.03/5.26 % (879353)Instruction limit reached!
% 7.03/5.26 % (879353)------------------------------
% 7.03/5.26 % (879353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.03/5.26 % (879353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/5.26 % (879353)CaDiCaL version: 2.1.3
% 7.03/5.26 % (879353)Termination reason: Instruction limit
% 7.03/5.26 % (879353)Termination phase: shuffling
% 7.03/5.26 % (879353)Time elapsed: 0.028 s
% 7.03/5.26 % (879353)Peak memory usage: 26 MB
% 7.03/5.26 % (879353)Instructions burned: 14 (million)
% 7.03/5.26 % (879355)Instruction limit reached!
% 7.03/5.26 % (879355)------------------------------
% 7.03/5.26 % (879355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.03/5.26 % (879355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/5.26 % (879355)CaDiCaL version: 2.1.3
% 7.03/5.26 % (879355)Termination reason: Instruction limit
% 7.03/5.26 % (879355)Termination phase: shuffling
% 7.03/5.26 % (879355)Time elapsed: 0.028 s
% 7.03/5.26 % (879355)Peak memory usage: 26 MB
% 7.03/5.26 % (879355)Instructions burned: 32 (million)
% 7.03/5.26 % (879358)Instruction limit reached!
% 7.03/5.26 % (879358)------------------------------
% 7.03/5.26 % (879358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.03/5.26 % (879358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/5.26 % (879358)CaDiCaL version: 2.1.3
% 7.03/5.26 % (879358)Termination reason: Instruction limit
% 7.03/5.26 % (879358)Termination phase: shuffling
% 7.03/5.26 % (879358)Time elapsed: 0.013 s
% 7.03/5.26 % (879358)Peak memory usage: 25 MB
% 7.03/5.26 % (879358)Instructions burned: 7 (million)
% 7.03/5.26 % (879361)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1262995164:i=23:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/23Mi)
% 7.03/5.26 % (879363)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2865404466:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2989 on theBenchmark for (2989ds/20Mi)
% 7.54/5.39 % (879364)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2348305093:i=1240:rtra=on:ixr=off_2989 on theBenchmark for (2989ds/1240Mi)
% 7.54/5.39 % (879365)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2140796599:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2988 on theBenchmark for (2988ds/143Mi)
% 7.54/5.39 % (879352)Instruction limit reached!
% 7.54/5.39 % (879352)------------------------------
% 7.54/5.39 % (879352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/5.39 % (879352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/5.39 % (879352)CaDiCaL version: 2.1.3
% 7.54/5.39 % (879352)Termination reason: Instruction limit
% 7.54/5.39 % (879352)Termination phase: shuffling
% 7.54/5.39 % (879352)Time elapsed: 0.063 s
% 7.54/5.39 % (879352)Peak memory usage: 27 MB
% 7.54/5.39 % (879352)Instructions burned: 60 (million)
% 7.54/5.39 % (879341)Instruction limit reached!
% 7.54/5.39 % (879341)------------------------------
% 7.54/5.39 % (879341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/5.39 % (879341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/5.39 % (879341)CaDiCaL version: 2.1.3
% 7.54/5.39 % (879341)Termination reason: Instruction limit
% 7.54/5.39 % (879341)Termination phase: shuffling
% 7.54/5.39 % (879341)Time elapsed: 0.145 s
% 7.54/5.39 % (879341)Peak memory usage: 31 MB
% 7.54/5.39 % (879341)Instructions burned: 327 (million)
% 7.54/5.39 % (879361)Instruction limit reached!
% 7.54/5.39 % (879361)------------------------------
% 7.54/5.39 % (879361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/5.39 % (879361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/5.39 % (879361)CaDiCaL version: 2.1.3
% 7.54/5.39 % (879361)Termination reason: Instruction limit
% 7.54/5.39 % (879361)Termination phase: shuffling
% 7.54/5.39 % (879361)Time elapsed: 0.026 s
% 7.54/5.39 % (879361)Peak memory usage: 26 MB
% 7.54/5.39 % (879361)Instructions burned: 25 (million)
% 7.54/5.39 % (879363)Instruction limit reached!
% 7.54/5.39 % (879363)------------------------------
% 7.54/5.39 % (879363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/5.39 % (879363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/5.39 % (879363)CaDiCaL version: 2.1.3
% 7.54/5.39 % (879363)Termination reason: Instruction limit
% 7.54/5.39 % (879363)Termination phase: shuffling
% 7.54/5.39 % (879363)Time elapsed: 0.024 s
% 7.54/5.39 % (879363)Peak memory usage: 27 MB
% 7.54/5.39 % (879363)Instructions burned: 21 (million)
% 7.54/5.39 % (879371)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=812241983:i=42:hud=10:rtra=on_2988 on theBenchmark for (2988ds/42Mi)
% 7.54/5.39 % (879372)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 7.54/5.39 % (879372)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3551419756:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2988 on theBenchmark for (2988ds/7Mi)
% 7.54/5.39 % (879370)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2551720199:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/193Mi)
% 7.54/5.39 % (879373)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2245775160:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/181Mi)
% 7.54/5.39 % (879372)Instruction limit reached!
% 7.54/5.39 % (879372)------------------------------
% 7.54/5.39 % (879372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/5.39 % (879372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/5.39 % (879372)CaDiCaL version: 2.1.3
% 7.54/5.39 % (879372)Termination reason: Instruction limit
% 7.54/5.39 % (879372)Termination phase: shuffling
% 7.54/5.39 % (879372)Time elapsed: 0.009 s
% 7.54/5.39 % (879372)Peak memory usage: 25 MB
% 7.54/5.39 % (879372)Instructions burned: 7 (million)
% 7.54/5.39 % (879371)Instruction limit reached!
% 7.54/5.39 % (879371)------------------------------
% 7.54/5.39 % (879371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/5.39 % (879371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/5.39 % (879371)CaDiCaL version: 2.1.3
% 7.54/5.39 % (879371)Termination reason: Instruction limit
% 8.17/5.54 % (879371)Termination phase: shuffling
% 8.17/5.54 % (879371)Time elapsed: 0.034 s
% 8.17/5.54 % (879371)Peak memory usage: 26 MB
% 8.17/5.54 % (879371)Instructions burned: 43 (million)
% 8.17/5.54 % (879378)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=527408970:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2988 on theBenchmark for (2988ds/169Mi)
% 8.17/5.54 % (879365)Instruction limit reached!
% 8.17/5.54 % (879365)------------------------------
% 8.17/5.54 % (879365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.17/5.54 % (879365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.17/5.54 % (879365)CaDiCaL version: 2.1.3
% 8.17/5.54 % (879365)Termination reason: Instruction limit
% 8.17/5.54 % (879365)Termination phase: shuffling
% 8.17/5.54 % (879365)Time elapsed: 0.081 s
% 8.17/5.54 % (879365)Peak memory usage: 28 MB
% 8.17/5.54 % (879365)Instructions burned: 144 (million)
% 8.17/5.54 % (879379)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 8.17/5.54 % (879379)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3462918562:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2988 on theBenchmark for (2988ds/6Mi)
% 8.17/5.54 % (879379)Instruction limit reached!
% 8.17/5.54 % (879379)------------------------------
% 8.17/5.54 % (879379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.17/5.54 % (879379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.17/5.54 % (879379)CaDiCaL version: 2.1.3
% 8.17/5.54 % (879379)Termination reason: Instruction limit
% 8.17/5.54 % (879379)Termination phase: shuffling
% 8.17/5.54 % (879379)Time elapsed: 0.011 s
% 8.17/5.54 % (879379)Peak memory usage: 25 MB
% 8.17/5.54 % (879379)Instructions burned: 6 (million)
% 8.17/5.54 % (879307)Instruction limit reached!
% 8.17/5.54 % (879307)------------------------------
% 8.17/5.54 % (879307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.17/5.54 % (879307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.17/5.54 % (879307)CaDiCaL version: 2.1.3
% 8.17/5.54 % (879307)Termination reason: Instruction limit
% 8.17/5.54 % (879307)Termination phase: shuffling
% 8.17/5.54 % (879307)Time elapsed: 0.399 s
% 8.17/5.54 % (879307)Peak memory usage: 27 MB
% 8.17/5.54 % (879307)Instructions burned: 634 (million)
% 8.17/5.54 % (879381)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2017925759:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2987 on theBenchmark for (2987ds/22Mi)
% 8.17/5.54 % (879383)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3916491542:i=19:add=on:rtra=on_2987 on theBenchmark for (2987ds/19Mi)
% 8.17/5.54 % (879381)Instruction limit reached!
% 8.17/5.54 % (879381)------------------------------
% 8.17/5.54 % (879381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.17/5.54 % (879381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.17/5.54 % (879381)CaDiCaL version: 2.1.3
% 8.17/5.54 % (879381)Termination reason: Instruction limit
% 8.17/5.54 % (879381)Termination phase: shuffling
% 8.17/5.54 % (879381)Time elapsed: 0.024 s
% 8.17/5.54 % (879381)Peak memory usage: 26 MB
% 8.17/5.54 % (879381)Instructions burned: 23 (million)
% 8.17/5.54 % (879385)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=2073469003:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/316Mi)
% 8.17/5.54 % (879383)Instruction limit reached!
% 8.17/5.54 % (879383)------------------------------
% 8.17/5.54 % (879383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.17/5.54 % (879383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.17/5.54 % (879383)CaDiCaL version: 2.1.3
% 8.17/5.54 % (879383)Termination reason: Instruction limit
% 8.17/5.54 % (879383)Termination phase: shuffling
% 8.17/5.54 % (879383)Time elapsed: 0.023 s
% 8.17/5.54 % (879383)Peak memory usage: 26 MB
% 8.17/5.54 % (879383)Instructions burned: 21 (million)
% 8.17/5.54 % (879373)Instruction limit reached!
% 8.17/5.54 % (879373)------------------------------
% 8.17/5.54 % (879373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.97/5.66 % (879373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/5.66 % (879373)CaDiCaL version: 2.1.3
% 8.97/5.66 % (879373)Termination reason: Instruction limit
% 8.97/5.66 % (879373)Termination phase: shuffling
% 8.97/5.66 % (879373)Time elapsed: 0.100 s
% 8.97/5.66 % (879373)Peak memory usage: 29 MB
% 8.97/5.66 % (879373)Instructions burned: 181 (million)
% 8.97/5.66 % (879387)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=338729790: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)
% 8.97/5.66 % (879389)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=3408883930: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)
% 8.97/5.66 % (879390)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1498671144:i=480:rtra=on_2987 on theBenchmark for (2987ds/480Mi)
% 8.97/5.66 % (879378)Instruction limit reached!
% 8.97/5.66 % (879378)------------------------------
% 8.97/5.66 % (879378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.97/5.66 % (879378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/5.66 % (879378)CaDiCaL version: 2.1.3
% 8.97/5.66 % (879378)Termination reason: Instruction limit
% 8.97/5.66 % (879378)Termination phase: shuffling
% 8.97/5.66 % (879378)Time elapsed: 0.107 s
% 8.97/5.66 % (879378)Peak memory usage: 29 MB
% 8.97/5.66 % (879378)Instructions burned: 169 (million)
% 8.97/5.66 % (879389)Instruction limit reached!
% 8.97/5.66 % (879389)------------------------------
% 8.97/5.66 % (879389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.97/5.66 % (879389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/5.66 % (879389)CaDiCaL version: 2.1.3
% 8.97/5.66 % (879389)Termination reason: Instruction limit
% 8.97/5.66 % (879389)Termination phase: Property scanning
% 8.97/5.66 % (879389)Time elapsed: 0.032 s
% 8.97/5.66 % (879389)Peak memory usage: 26 MB
% 8.97/5.66 % (879389)Instructions burned: 46 (million)
% 8.97/5.66 % (879394)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2951317017: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)
% 8.97/5.66 % (879370)Instruction limit reached!
% 8.97/5.66 % (879370)------------------------------
% 8.97/5.66 % (879370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.97/5.66 % (879370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/5.66 % (879370)CaDiCaL version: 2.1.3
% 8.97/5.66 % (879370)Termination reason: Instruction limit
% 8.97/5.66 % (879370)Termination phase: shuffling
% 8.97/5.66 % (879370)Time elapsed: 0.164 s
% 8.97/5.66 % (879370)Peak memory usage: 29 MB
% 8.97/5.66 % (879370)Instructions burned: 193 (million)
% 8.97/5.66 % (879395)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 8.97/5.66 % (879394)Instruction limit reached!
% 8.97/5.66 % (879394)------------------------------
% 8.97/5.66 % (879394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.97/5.66 % (879394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/5.66 % (879394)CaDiCaL version: 2.1.3
% 8.97/5.66 % (879394)Termination reason: Instruction limit
% 8.97/5.66 % (879394)Termination phase: shuffling
% 8.97/5.66 % (879394)Time elapsed: 0.024 s
% 8.97/5.66 % (879394)Peak memory usage: 26 MB
% 8.97/5.66 % (879394)Instructions burned: 22 (million)
% 8.97/5.66 % (879395)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=4237187517:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/200Mi)
% 8.97/5.66 % (879398)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=4120430871:i=66:s2at=3:nm=2:rtra=on:rawr=on_2986 on theBenchmark for (2986ds/66Mi)
% 8.97/5.66 % (879397)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3643576166:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2986 on theBenchmark for (2986ds/13Mi)
% 8.97/5.66 % (879397)Instruction limit reached!
% 10.53/5.84 % (879397)------------------------------
% 10.53/5.84 % (879397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.53/5.84 % (879397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.53/5.84 % (879397)CaDiCaL version: 2.1.3
% 10.53/5.84 % (879397)Termination reason: Instruction limit
% 10.53/5.84 % (879397)Termination phase: shuffling
% 10.53/5.84 % (879397)Time elapsed: 0.015 s
% 10.53/5.84 % (879397)Peak memory usage: 26 MB
% 10.53/5.84 % (879397)Instructions burned: 14 (million)
% 10.53/5.84 % (879398)Instruction limit reached!
% 10.53/5.84 % (879398)------------------------------
% 10.53/5.84 % (879398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.53/5.84 % (879398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.53/5.84 % (879398)CaDiCaL version: 2.1.3
% 10.53/5.84 % (879398)Termination reason: Instruction limit
% 10.53/5.84 % (879398)Termination phase: shuffling
% 10.53/5.84 % (879398)Time elapsed: 0.044 s
% 10.53/5.84 % (879398)Peak memory usage: 27 MB
% 10.53/5.84 % (879398)Instructions burned: 68 (million)
% 10.53/5.84 % (879402)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3152975602:i=51:fsr=off:rtra=on_2986 on theBenchmark for (2986ds/51Mi)
% 10.53/5.84 % (879403)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1724233364:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/31Mi)
% 10.53/5.84 % (879403)Instruction limit reached!
% 10.53/5.84 % (879403)------------------------------
% 10.53/5.84 % (879403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.53/5.84 % (879403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.53/5.84 % (879403)CaDiCaL version: 2.1.3
% 10.53/5.84 % (879403)Termination reason: Instruction limit
% 10.53/5.84 % (879403)Termination phase: shuffling
% 10.53/5.84 % (879403)Time elapsed: 0.027 s
% 10.53/5.84 % (879403)Peak memory usage: 26 MB
% 10.53/5.84 % (879403)Instructions burned: 31 (million)
% 10.53/5.84 % (879402)Instruction limit reached!
% 10.53/5.84 % (879402)------------------------------
% 10.53/5.84 % (879402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.53/5.84 % (879402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.53/5.84 % (879402)CaDiCaL version: 2.1.3
% 10.53/5.84 % (879402)Termination reason: Instruction limit
% 10.53/5.84 % (879402)Termination phase: shuffling
% 10.53/5.84 % (879402)Time elapsed: 0.042 s
% 10.53/5.84 % (879402)Peak memory usage: 27 MB
% 10.53/5.84 % (879402)Instructions burned: 52 (million)
% 10.53/5.84 % (879406)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=4078268985:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2985 on theBenchmark for (2985ds/137Mi)
% 10.53/5.84 % (879395)Instruction limit reached!
% 10.53/5.84 % (879395)------------------------------
% 10.53/5.84 % (879395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.53/5.84 % (879395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.53/5.84 % (879395)CaDiCaL version: 2.1.3
% 10.53/5.84 % (879395)Termination reason: Instruction limit
% 10.53/5.84 % (879395)Termination phase: shuffling
% 10.53/5.84 % (879395)Time elapsed: 0.134 s
% 10.53/5.84 % (879395)Peak memory usage: 29 MB
% 10.53/5.84 % (879395)Instructions burned: 201 (million)
% 10.53/5.84 % (879407)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=4160862080:cond=on:i=34:hud=10:nm=10:rtra=on_2985 on theBenchmark for (2985ds/34Mi)
% 10.53/5.84 % (879390)Instruction limit reached!
% 10.53/5.84 % (879390)------------------------------
% 10.53/5.84 % (879390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.53/5.84 % (879390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.53/5.84 % (879390)CaDiCaL version: 2.1.3
% 10.53/5.84 % (879390)Termination reason: Instruction limit
% 10.53/5.84 % (879390)Termination phase: shuffling
% 10.53/5.84 % (879390)Time elapsed: 0.235 s
% 10.53/5.84 % (879390)Peak memory usage: 33 MB
% 10.53/5.84 % (879390)Instructions burned: 482 (million)
% 10.53/5.84 % (879409)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1497599336:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2985 on theBenchmark for (2985ds/67Mi)
% 10.53/5.84 % (879411)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 10.53/5.84 % (879411)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3535136740:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2984 on theBenchmark for (2984ds/180Mi)
% 10.67/6.01 % (879385)Instruction limit reached!
% 10.67/6.01 % (879385)------------------------------
% 10.67/6.01 % (879385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.67/6.01 % (879385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/6.01 % (879385)CaDiCaL version: 2.1.3
% 10.67/6.01 % (879385)Termination reason: Instruction limit
% 10.67/6.01 % (879385)Termination phase: shuffling
% 10.67/6.01 % (879385)Time elapsed: 0.285 s
% 10.67/6.01 % (879385)Peak memory usage: 32 MB
% 10.67/6.01 % (879385)Instructions burned: 317 (million)
% 10.67/6.01 % (879406)Instruction limit reached!
% 10.67/6.01 % (879406)------------------------------
% 10.67/6.01 % (879406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.67/6.01 % (879406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/6.01 % (879406)CaDiCaL version: 2.1.3
% 10.67/6.01 % (879406)Termination reason: Instruction limit
% 10.67/6.01 % (879406)Termination phase: shuffling
% 10.67/6.01 % (879406)Time elapsed: 0.077 s
% 10.67/6.01 % (879406)Peak memory usage: 28 MB
% 10.67/6.01 % (879406)Instructions burned: 138 (million)
% 10.67/6.01 % (879407)Instruction limit reached!
% 10.67/6.01 % (879407)------------------------------
% 10.67/6.01 % (879407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.67/6.01 % (879407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/6.01 % (879407)CaDiCaL version: 2.1.3
% 10.67/6.01 % (879407)Termination reason: Instruction limit
% 10.67/6.01 % (879407)Termination phase: shuffling
% 10.67/6.01 % (879407)Time elapsed: 0.062 s
% 10.67/6.01 % (879407)Peak memory usage: 26 MB
% 10.67/6.01 % (879407)Instructions burned: 35 (million)
% 10.67/6.01 % (879414)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2384987453:st=2:i=246:sd=3:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/246Mi)
% 10.67/6.01 % (879415)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=604550821:cond=on:i=96:bd=all:rtra=on_2984 on theBenchmark for (2984ds/96Mi)
% 10.67/6.01 % (879409)Instruction limit reached!
% 10.67/6.01 % (879409)------------------------------
% 10.67/6.01 % (879409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.67/6.01 % (879409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/6.01 % (879409)CaDiCaL version: 2.1.3
% 10.67/6.01 % (879409)Termination reason: Instruction limit
% 10.67/6.01 % (879409)Termination phase: shuffling
% 10.67/6.01 % (879409)Time elapsed: 0.063 s
% 10.67/6.01 % (879409)Peak memory usage: 27 MB
% 10.67/6.01 % (879409)Instructions burned: 69 (million)
% 10.67/6.01 % (879416)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1296238346:i=427:sd=1:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/427Mi)
% 10.67/6.01 % (879419)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3048302578:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/874Mi)
% 10.67/6.01 % (879411)Instruction limit reached!
% 10.67/6.01 % (879411)------------------------------
% 10.67/6.01 % (879411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.67/6.01 % (879411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/6.01 % (879411)CaDiCaL version: 2.1.3
% 10.67/6.01 % (879411)Termination reason: Instruction limit
% 10.67/6.01 % (879411)Termination phase: shuffling
% 10.67/6.01 % (879411)Time elapsed: 0.097 s
% 10.67/6.01 % (879411)Peak memory usage: 29 MB
% 10.67/6.01 % (879411)Instructions burned: 181 (million)
% 10.67/6.01 % (879415)Instruction limit reached!
% 10.67/6.01 % (879415)------------------------------
% 10.67/6.01 % (879415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.67/6.01 % (879415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/6.01 % (879415)CaDiCaL version: 2.1.3
% 10.67/6.01 % (879415)Termination reason: Instruction limit
% 10.67/6.01 % (879415)Termination phase: shuffling
% 10.67/6.01 % (879415)Time elapsed: 0.059 s
% 10.67/6.01 % (879415)Peak memory usage: 27 MB
% 10.67/6.01 % (879415)Instructions burned: 96 (million)
% 10.67/6.01 % (879422)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=751222390:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/515Mi)
% 10.67/6.01 % (879423)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=485784674:st=1.5:i=130:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/130Mi)
% 12.98/6.11 % (879387)Instruction limit reached!
% 12.98/6.11 % (879387)------------------------------
% 12.98/6.11 % (879387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.98/6.11 % (879387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.98/6.11 % (879387)CaDiCaL version: 2.1.3
% 12.98/6.11 % (879387)Termination reason: Instruction limit
% 12.98/6.11 % (879387)Termination phase: shuffling
% 12.98/6.11 % (879387)Time elapsed: 0.395 s
% 12.98/6.11 % (879387)Peak memory usage: 31 MB
% 12.98/6.11 % (879387)Instructions burned: 853 (million)
% 12.98/6.11 % (879414)Instruction limit reached!
% 12.98/6.11 % (879414)------------------------------
% 12.98/6.11 % (879414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.98/6.11 % (879414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.98/6.11 % (879414)CaDiCaL version: 2.1.3
% 12.98/6.11 % (879414)Termination reason: Instruction limit
% 12.98/6.11 % (879414)Termination phase: shuffling
% 12.98/6.11 % (879414)Time elapsed: 0.111 s
% 12.98/6.11 % (879414)Peak memory usage: 30 MB
% 12.98/6.11 % (879414)Instructions burned: 248 (million)
% 12.98/6.11 % (879426)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1053830851:i=44:ep=R:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/44Mi)
% 12.98/6.11 % (879364)Instruction limit reached!
% 12.98/6.11 % (879364)------------------------------
% 12.98/6.11 % (879364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.98/6.11 % (879364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.98/6.11 % (879364)CaDiCaL version: 2.1.3
% 12.98/6.11 % (879364)Termination reason: Instruction limit
% 12.98/6.11 % (879364)Termination phase: shuffling
% 12.98/6.11 % (879364)Time elapsed: 0.596 s
% 12.98/6.11 % (879364)Peak memory usage: 50 MB
% 12.98/6.11 % (879364)Instructions burned: 1242 (million)
% 12.98/6.11 % (879427)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1612140793:s2a=on:i=571:nm=16:rtra=on_2983 on theBenchmark for (2983ds/571Mi)
% 12.98/6.11 % (879423)Instruction limit reached!
% 12.98/6.11 % (879423)------------------------------
% 12.98/6.11 % (879423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.98/6.11 % (879423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.98/6.11 % (879423)CaDiCaL version: 2.1.3
% 12.98/6.11 % (879423)Termination reason: Instruction limit
% 12.98/6.11 % (879423)Termination phase: shuffling
% 12.98/6.11 % (879423)Time elapsed: 0.073 s
% 12.98/6.11 % (879423)Peak memory usage: 28 MB
% 12.98/6.11 % (879423)Instructions burned: 130 (million)
% 12.98/6.11 % (879430)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=3273415955:i=450:rtra=on:ixr=off:ntd=on_2982 on theBenchmark for (2982ds/450Mi)
% 12.98/6.11 % (879426)Instruction limit reached!
% 12.98/6.11 % (879426)------------------------------
% 12.98/6.11 % (879426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.98/6.11 % (879426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.98/6.11 % (879426)CaDiCaL version: 2.1.3
% 12.98/6.11 % (879426)Termination reason: Instruction limit
% 12.98/6.11 % (879426)Termination phase: shuffling
% 12.98/6.11 % (879426)Time elapsed: 0.064 s
% 12.98/6.11 % (879426)Peak memory usage: 27 MB
% 12.98/6.11 % (879426)Instructions burned: 44 (million)
% 12.98/6.11 % (879431)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1580249633:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/95Mi)
% 12.98/6.11 % (879433)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=51490390:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2982 on theBenchmark for (2982ds/65Mi)
% 12.98/6.11 % (879433)Instruction limit reached!
% 12.98/6.11 % (879433)------------------------------
% 12.98/6.11 % (879433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.98/6.11 % (879433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.98/6.11 % (879433)CaDiCaL version: 2.1.3
% 12.98/6.11 % (879433)Termination reason: Instruction limit
% 12.98/6.11 % (879433)Termination phase: shuffling
% 12.98/6.11 % (879433)Time elapsed: 0.039 s
% 12.98/6.11 % (879433)Peak memory usage: 27 MB
% 12.98/6.11 % (879433)Instructions burned: 65 (million)
% 12.98/6.11 % (879436)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=2272139368: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_2981 on theBenchmark for (2981ds/105Mi)
% 13.69/6.28 % (879431)Instruction limit reached!
% 13.69/6.28 % (879431)------------------------------
% 13.69/6.28 % (879431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.69/6.28 % (879431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/6.28 % (879431)CaDiCaL version: 2.1.3
% 13.69/6.28 % (879431)Termination reason: Instruction limit
% 13.69/6.28 % (879431)Termination phase: shuffling
% 13.69/6.28 % (879431)Time elapsed: 0.077 s
% 13.69/6.28 % (879431)Peak memory usage: 27 MB
% 13.69/6.28 % (879431)Instructions burned: 97 (million)
% 13.69/6.28 % (879438)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=3660075418:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2981 on theBenchmark for (2981ds/5755Mi)
% 13.69/6.28 % (879436)Instruction limit reached!
% 13.69/6.28 % (879436)------------------------------
% 13.69/6.28 % (879436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.69/6.28 % (879436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/6.28 % (879436)CaDiCaL version: 2.1.3
% 13.69/6.28 % (879436)Termination reason: Instruction limit
% 13.69/6.28 % (879436)Termination phase: shuffling
% 13.69/6.28 % (879436)Time elapsed: 0.062 s
% 13.69/6.28 % (879436)Peak memory usage: 28 MB
% 13.69/6.28 % (879436)Instructions burned: 106 (million)
% 13.69/6.28 % (879422)Instruction limit reached!
% 13.69/6.28 % (879422)------------------------------
% 13.69/6.28 % (879422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.69/6.28 % (879422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/6.28 % (879422)CaDiCaL version: 2.1.3
% 13.69/6.28 % (879422)Termination reason: Instruction limit
% 13.69/6.28 % (879422)Termination phase: shuffling
% 13.69/6.28 % (879422)Time elapsed: 0.258 s
% 13.69/6.28 % (879422)Peak memory usage: 34 MB
% 13.69/6.28 % (879422)Instructions burned: 516 (million)
% 13.69/6.28 % (879440)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=2267858182:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2980 on theBenchmark for (2980ds/375Mi)
% 13.69/6.28 % (879441)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2452697063:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2980 on theBenchmark for (2980ds/495Mi)
% 13.69/6.28 % (879416)Instruction limit reached!
% 13.69/6.28 % (879416)------------------------------
% 13.69/6.28 % (879416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.69/6.28 % (879416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/6.28 % (879416)CaDiCaL version: 2.1.3
% 13.69/6.28 % (879416)Termination reason: Instruction limit
% 13.69/6.28 % (879416)Termination phase: shuffling
% 13.69/6.28 % (879416)Time elapsed: 0.344 s
% 13.69/6.28 % (879416)Peak memory usage: 32 MB
% 13.69/6.28 % (879416)Instructions burned: 427 (million)
% 13.69/6.28 % (879444)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=808407900:cond=on:i=34:hud=10:nm=10:rtra=on_2980 on theBenchmark for (2980ds/34Mi)
% 13.69/6.28 % (879430)Instruction limit reached!
% 13.69/6.28 % (879430)------------------------------
% 13.69/6.28 % (879430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.69/6.28 % (879430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/6.28 % (879430)CaDiCaL version: 2.1.3
% 13.69/6.28 % (879430)Termination reason: Instruction limit
% 13.69/6.28 % (879430)Termination phase: shuffling
% 13.69/6.28 % (879430)Time elapsed: 0.248 s
% 13.69/6.28 % (879430)Peak memory usage: 33 MB
% 13.69/6.28 % (879430)Instructions burned: 452 (million)
% 13.69/6.28 % (879427)Instruction limit reached!
% 13.69/6.28 % (879427)------------------------------
% 13.69/6.28 % (879427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.69/6.28 % (879427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/6.28 % (879427)CaDiCaL version: 2.1.3
% 13.69/6.28 % (879427)Termination reason: Instruction limit
% 13.69/6.28 % (879427)Termination phase: shuffling
% 13.69/6.28 % (879427)Time elapsed: 0.291 s
% 14.66/6.45 % (879427)Peak memory usage: 35 MB
% 14.66/6.45 % (879427)Instructions burned: 572 (million)
% 14.66/6.45 % (879446)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=4183964882:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2980 on theBenchmark for (2980ds/91Mi)
% 14.66/6.45 % (879444)Instruction limit reached!
% 14.66/6.45 % (879444)------------------------------
% 14.66/6.45 % (879444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.66/6.45 % (879444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.66/6.45 % (879444)CaDiCaL version: 2.1.3
% 14.66/6.45 % (879444)Termination reason: Instruction limit
% 14.66/6.45 % (879444)Termination phase: shuffling
% 14.66/6.45 % (879444)Time elapsed: 0.044 s
% 14.66/6.45 % (879444)Peak memory usage: 26 MB
% 14.66/6.45 % (879444)Instructions burned: 35 (million)
% 14.66/6.45 % (879448)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=2941729871:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2979 on theBenchmark for (2979ds/66Mi)
% 14.66/6.45 % (879449)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2238758035:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2979 on theBenchmark for (2979ds/22Mi)
% 14.66/6.45 % (879446)Instruction limit reached!
% 14.66/6.45 % (879446)------------------------------
% 14.66/6.45 % (879446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.66/6.45 % (879446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.66/6.45 % (879446)CaDiCaL version: 2.1.3
% 14.66/6.45 % (879446)Termination reason: Instruction limit
% 14.66/6.45 % (879446)Termination phase: shuffling
% 14.66/6.45 % (879446)Time elapsed: 0.050 s
% 14.66/6.45 % (879446)Peak memory usage: 27 MB
% 14.66/6.45 % (879446)Instructions burned: 92 (million)
% 14.66/6.45 % (879449)Instruction limit reached!
% 14.66/6.45 % (879449)------------------------------
% 14.66/6.45 % (879449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.66/6.45 % (879449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.66/6.45 % (879449)CaDiCaL version: 2.1.3
% 14.66/6.45 % (879449)Termination reason: Instruction limit
% 14.66/6.45 % (879449)Termination phase: shuffling
% 14.66/6.45 % (879449)Time elapsed: 0.028 s
% 14.66/6.45 % (879449)Peak memory usage: 27 MB
% 14.66/6.45 % (879449)Instructions burned: 23 (million)
% 14.66/6.45 % (879448)Instruction limit reached!
% 14.66/6.45 % (879448)------------------------------
% 14.66/6.45 % (879448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.66/6.45 % (879448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.66/6.45 % (879448)CaDiCaL version: 2.1.3
% 14.66/6.45 % (879448)Termination reason: Instruction limit
% 14.66/6.45 % (879448)Termination phase: shuffling
% 14.66/6.45 % (879448)Time elapsed: 0.046 s
% 14.66/6.45 % (879448)Peak memory usage: 27 MB
% 14.66/6.45 % (879448)Instructions burned: 68 (million)
% 14.66/6.45 % (879452)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=2234249369:i=338:bd=all:ins=4:rtra=on_2979 on theBenchmark for (2979ds/338Mi)
% 14.66/6.45 % (879419)Instruction limit reached!
% 14.66/6.45 % (879419)------------------------------
% 14.66/6.45 % (879419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.66/6.45 % (879419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.66/6.45 % (879419)CaDiCaL version: 2.1.3
% 14.66/6.45 % (879419)Termination reason: Instruction limit
% 14.66/6.45 % (879419)Termination phase: shuffling
% 14.66/6.45 % (879419)Time elapsed: 0.472 s
% 14.66/6.45 % (879419)Peak memory usage: 41 MB
% 14.66/6.45 % (879419)Instructions burned: 875 (million)
% 14.66/6.45 % (879453)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3704111846:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/28Mi)
% 14.66/6.45 % (879454)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 14.66/6.45 % (879454)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=3156130146: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)
% 14.66/6.45 % (879440)Instruction limit reached!
% 14.66/6.45 % (879440)------------------------------
% 14.66/6.45 % (879440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.31/6.71 % (879440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.31/6.71 % (879440)CaDiCaL version: 2.1.3
% 16.31/6.71 % (879440)Termination reason: Instruction limit
% 16.31/6.71 % (879440)Termination phase: shuffling
% 16.31/6.71 % (879440)Time elapsed: 0.188 s
% 16.31/6.71 % (879440)Peak memory usage: 32 MB
% 16.31/6.71 % (879440)Instructions burned: 377 (million)
% 16.31/6.71 % (879459)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=1917409270:i=227:sd=1:bd=all:rtra=on:ss=axioms_2978 on theBenchmark for (2978ds/227Mi)
% 16.31/6.71 % (879456)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=2957294831:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2979 on theBenchmark for (2979ds/340Mi)
% 16.31/6.71 % (879453)Instruction limit reached!
% 16.31/6.71 % (879453)------------------------------
% 16.31/6.71 % (879453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.31/6.71 % (879453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.31/6.71 % (879453)CaDiCaL version: 2.1.3
% 16.31/6.71 % (879453)Termination reason: Instruction limit
% 16.31/6.71 % (879453)Termination phase: shuffling
% 16.31/6.71 % (879453)Time elapsed: 0.058 s
% 16.31/6.71 % (879453)Peak memory usage: 26 MB
% 16.31/6.71 % (879453)Instructions burned: 29 (million)
% 16.31/6.71 % (879454)Instruction limit reached!
% 16.31/6.71 % (879454)------------------------------
% 16.31/6.71 % (879454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.31/6.71 % (879454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.31/6.71 % (879454)CaDiCaL version: 2.1.3
% 16.31/6.71 % (879454)Termination reason: Instruction limit
% 16.31/6.71 % (879454)Termination phase: shuffling
% 16.31/6.71 % (879454)Time elapsed: 0.079 s
% 16.31/6.71 % (879454)Peak memory usage: 28 MB
% 16.31/6.71 % (879454)Instructions burned: 138 (million)
% 16.31/6.71 % (879462)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 16.31/6.71 % (879462)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=4144845183:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/373Mi)
% 16.31/6.71 % (879463)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3312858673:i=116:ep=RSTC:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/116Mi)
% 16.31/6.71 % (879452)Instruction limit reached!
% 16.31/6.71 % (879452)------------------------------
% 16.31/6.71 % (879452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.31/6.71 % (879452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.31/6.71 % (879452)CaDiCaL version: 2.1.3
% 16.31/6.71 % (879452)Termination reason: Instruction limit
% 16.31/6.71 % (879452)Termination phase: shuffling
% 16.31/6.71 % (879452)Time elapsed: 0.152 s
% 16.31/6.71 % (879452)Peak memory usage: 32 MB
% 16.31/6.71 % (879452)Instructions burned: 340 (million)
% 16.31/6.71 % (879459)Instruction limit reached!
% 16.31/6.71 % (879459)------------------------------
% 16.31/6.71 % (879459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.31/6.71 % (879459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.31/6.71 % (879459)CaDiCaL version: 2.1.3
% 16.31/6.71 % (879459)Termination reason: Instruction limit
% 16.31/6.71 % (879459)Termination phase: shuffling
% 16.31/6.71 % (879459)Time elapsed: 0.121 s
% 16.31/6.71 % (879459)Peak memory usage: 30 MB
% 16.31/6.71 % (879459)Instructions burned: 228 (million)
% 16.31/6.71 % (879466)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2683512574:i=575:rtra=on_2977 on theBenchmark for (2977ds/575Mi)
% 16.31/6.71 % (879463)Instruction limit reached!
% 16.31/6.71 % (879463)------------------------------
% 16.31/6.71 % (879463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.31/6.71 % (879463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.31/6.71 % (879463)CaDiCaL version: 2.1.3
% 16.31/6.71 % (879463)Termination reason: Instruction limit
% 16.31/6.71 % (879463)Termination phase: shuffling
% 16.31/6.71 % (879463)Time elapsed: 0.065 s
% 16.31/6.71 % (879463)Peak memory usage: 27 MB
% 16.31/6.71 % (879463)Instructions burned: 117 (million)
% 16.31/6.71 % (879467)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1807063095: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)
% 20.20/7.17 % (879469)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=1426938357: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_2977 on theBenchmark for (2977ds/9840Mi)
% 20.20/7.17 % (879456)Instruction limit reached!
% 20.20/7.17 % (879456)------------------------------
% 20.20/7.17 % (879456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.20/7.17 % (879456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.20/7.17 % (879456)CaDiCaL version: 2.1.3
% 20.20/7.17 % (879456)Termination reason: Instruction limit
% 20.20/7.17 % (879456)Termination phase: shuffling
% 20.20/7.17 % (879456)Time elapsed: 0.187 s
% 20.20/7.17 % (879456)Peak memory usage: 32 MB
% 20.20/7.17 % (879456)Instructions burned: 341 (million)
% 20.20/7.17 % (879441)Instruction limit reached!
% 20.20/7.17 % (879441)------------------------------
% 20.20/7.17 % (879441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.20/7.17 % (879441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.20/7.17 % (879441)CaDiCaL version: 2.1.3
% 20.20/7.17 % (879441)Termination reason: Instruction limit
% 20.20/7.17 % (879441)Termination phase: shuffling
% 20.20/7.17 % (879441)Time elapsed: 0.395 s
% 20.20/7.17 % (879441)Peak memory usage: 34 MB
% 20.20/7.17 % (879441)Instructions burned: 496 (million)
% 20.20/7.17 % (879472)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=1645276158:i=421:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/421Mi)
% 20.20/7.17 % (879473)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
% 20.20/7.17 % (879473)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=3011189235:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/270Mi)
% 20.20/7.17 % (879462)Instruction limit reached!
% 20.20/7.17 % (879462)------------------------------
% 20.20/7.17 % (879462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.20/7.17 % (879462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.20/7.17 % (879462)CaDiCaL version: 2.1.3
% 20.20/7.17 % (879462)Termination reason: Instruction limit
% 20.20/7.17 % (879462)Termination phase: shuffling
% 20.20/7.17 % (879462)Time elapsed: 0.204 s
% 20.20/7.17 % (879462)Peak memory usage: 33 MB
% 20.20/7.17 % (879462)Instructions burned: 375 (million)
% 20.20/7.17 % (879467)Instruction limit reached!
% 20.20/7.17 % (879467)------------------------------
% 20.20/7.17 % (879467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.20/7.17 % (879467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.20/7.17 % (879467)CaDiCaL version: 2.1.3
% 20.20/7.17 % (879467)Termination reason: Instruction limit
% 20.20/7.17 % (879467)Termination phase: shuffling
% 20.20/7.17 % (879467)Time elapsed: 0.140 s
% 20.20/7.17 % (879467)Peak memory usage: 31 MB
% 20.20/7.17 % (879467)Instructions burned: 272 (million)
% 20.20/7.17 % (879476)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1082595666:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/31Mi)
% 20.20/7.18 % (879478)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 20.20/7.18 % (879478)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
% 20.20/7.18 % (879478)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=2990412437:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2975 on theBenchmark for (2975ds/1440Mi)
% 20.20/7.18 % (879476)Instruction limit reached!
% 20.20/7.18 % (879476)------------------------------
% 20.20/7.18 % (879476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.20/7.18 % (879476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.20/7.18 % (879476)CaDiCaL version: 2.1.3
% 20.60/7.22 % (879476)Termination reason: Instruction limit
% 20.60/7.22 % (879476)Termination phase: shuffling
% 20.60/7.22 % (879476)Time elapsed: 0.028 s
% 20.60/7.22 % (879476)Peak memory usage: 26 MB
% 20.60/7.22 % (879476)Instructions burned: 32 (million)
% 20.60/7.22 % (879480)dis+10_2_sil=128000:si=on:random_seed=2586655746:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2975 on theBenchmark for (2975ds/339Mi)
% 20.60/7.22 % (879473)Instruction limit reached!
% 20.60/7.22 % (879473)------------------------------
% 20.60/7.22 % (879473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.60/7.22 % (879473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.60/7.22 % (879473)CaDiCaL version: 2.1.3
% 20.60/7.22 % (879473)Termination reason: Instruction limit
% 20.60/7.22 % (879473)Termination phase: shuffling
% 20.60/7.22 % (879473)Time elapsed: 0.139 s
% 20.60/7.22 % (879473)Peak memory usage: 30 MB
% 20.60/7.22 % (879473)Instructions burned: 270 (million)
% 20.60/7.22 % (879482)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=207264496:i=111:add=on:fgj=on:rtra=on:fdi=1024_2974 on theBenchmark for (2974ds/111Mi)
% 20.60/7.22 % (879482)Instruction limit reached!
% 20.60/7.22 % (879482)------------------------------
% 20.60/7.22 % (879482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.60/7.22 % (879482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.60/7.22 % (879482)CaDiCaL version: 2.1.3
% 20.60/7.22 % (879482)Termination reason: Instruction limit
% 20.60/7.22 % (879482)Termination phase: shuffling
% 20.60/7.22 % (879482)Time elapsed: 0.065 s
% 20.60/7.22 % (879482)Peak memory usage: 28 MB
% 20.60/7.22 % (879482)Instructions burned: 111 (million)
% 20.60/7.22 % (879484)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=520851787:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2974 on theBenchmark for (2974ds/122Mi)
% 20.60/7.22 % (879480)Instruction limit reached!
% 20.60/7.22 % (879480)------------------------------
% 20.60/7.22 % (879480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.60/7.22 % (879480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.60/7.22 % (879480)CaDiCaL version: 2.1.3
% 20.60/7.22 % (879480)Termination reason: Instruction limit
% 20.60/7.22 % (879480)Termination phase: shuffling
% 20.60/7.22 % (879480)Time elapsed: 0.171 s
% 20.60/7.22 % (879480)Peak memory usage: 31 MB
% 20.60/7.22 % (879480)Instructions burned: 341 (million)
% 20.60/7.22 % (879486)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=4082978186:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/136Mi)
% 20.60/7.22 % (879472)Instruction limit reached!
% 20.60/7.22 % (879472)------------------------------
% 20.60/7.22 % (879472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.60/7.22 % (879472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.60/7.22 % (879472)CaDiCaL version: 2.1.3
% 20.60/7.22 % (879472)Termination reason: Instruction limit
% 20.60/7.22 % (879472)Termination phase: shuffling
% 20.60/7.22 % (879472)Time elapsed: 0.330 s
% 20.60/7.22 % (879472)Peak memory usage: 32 MB
% 20.60/7.22 % (879472)Instructions burned: 421 (million)
% 20.60/7.22 % (879484)Instruction limit reached!
% 20.60/7.22 % (879484)------------------------------
% 20.60/7.22 % (879484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.60/7.22 % (879484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.60/7.22 % (879484)CaDiCaL version: 2.1.3
% 20.60/7.22 % (879484)Termination reason: Instruction limit
% 20.60/7.22 % (879484)Termination phase: shuffling
% 20.60/7.22 % (879484)Time elapsed: 0.072 s
% 20.60/7.22 % (879484)Peak memory usage: 28 MB
% 20.60/7.22 % (879484)Instructions burned: 122 (million)
% 20.60/7.22 % (879489)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=3450798745:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2973 on theBenchmark for (2973ds/1254Mi)
% 20.60/7.22 % (879466)Instruction limit reached!
% 20.60/7.22 % (879466)------------------------------
% 20.60/7.22 % (879466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.60/7.22 % (879466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.60/7.22 % (879466)CaDiCaL version: 2.1.3
% 20.60/7.22 % (879466)Termination reason: Instruction limit
% 20.60/7.22 % (879466)Termination phase: shuffling
% 20.60/7.22 % (879466)Time elapsed: 0.449 s
% 20.60/7.22 % (879466)Peak memory usage: 35 MB
% 20.60/7.22 % (879466)Instructions burned: 576 (million)
% 20.60/7.22 % (879488)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3619848102:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2973 on theBenchmark for (2973ds/232Mi)
% 20.60/7.22 % (879491)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 20.60/7.22 % (879491)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=565778832:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2972 on theBenchmark for (2972ds/281Mi)
% 20.60/7.22 % (879486)Instruction limit reached!
% 20.60/7.22 % (879486)------------------------------
% 20.60/7.22 % (879486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.60/7.22 % (879486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.60/7.22 % (879486)CaDiCaL version: 2.1.3
% 20.60/7.22 % (879486)Termination reason: Instruction limit
% 20.60/7.22 % (879486)Termination phase: shuffling
% 20.60/7.22 % (879486)Time elapsed: 0.132 s
% 20.60/7.22 % (879486)Peak memory usage: 28 MB
% 20.60/7.22 % (879486)Instructions burned: 138 (million)
% 20.60/7.22 % (879494)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2037506782:i=619:add=on:rtra=on_2971 on theBenchmark for (2971ds/619Mi)
% 20.60/7.22 % (879491)Instruction limit reached!
% 20.60/7.22 % (879491)------------------------------
% 20.60/7.22 % (879491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.60/7.22 % (879491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.60/7.22 % (879491)CaDiCaL version: 2.1.3
% 20.60/7.22 % (879491)Termination reason: Instruction limit
% 20.60/7.22 % (879491)Termination phase: shuffling
% 20.60/7.22 % (879491)Time elapsed: 0.128 s
% 20.60/7.22 % (879491)Peak memory usage: 32 MB
% 20.60/7.22 % (879491)Instructions burned: 281 (million)
% 20.60/7.22 % (879496)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=3531502129:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/865Mi)
% 20.60/7.22 % (879488)Instruction limit reached!
% 20.60/7.22 % (879488)------------------------------
% 20.60/7.22 % (879488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.60/7.22 % (879488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.60/7.22 % (879488)CaDiCaL version: 2.1.3
% 20.60/7.22 % (879488)Termination reason: Instruction limit
% 20.60/7.22 % (879488)Termination phase: shuffling
% 20.60/7.22 % (879488)Time elapsed: 0.213 s
% 20.60/7.22 % (879488)Peak memory usage: 29 MB
% 20.60/7.22 % (879488)Instructions burned: 232 (million)
% 20.60/7.22 % (879498)lrs+10_1_sil=128000:si=on:urr=on:random_seed=408616406:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2970 on theBenchmark for (2970ds/212Mi)
% 20.60/7.22 % (879498)Instruction limit reached!
% 20.60/7.22 % (879498)------------------------------
% 20.60/7.22 % (879498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.60/7.22 % (879498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.60/7.22 % (879498)CaDiCaL version: 2.1.3
% 20.60/7.22 % (879498)Termination reason: Instruction limit
% 20.60/7.22 % (879498)Termination phase: shuffling
% 20.60/7.22 % (879498)Time elapsed: 0.110 s
% 20.60/7.22 % (879498)Peak memory usage: 29 MB
% 20.60/7.22 % (879498)Instructions burned: 212 (million)
% 20.60/7.22 % (879500)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=17540973:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2969 on theBenchmark for (2969ds/130Mi)
% 20.60/7.22 % (879500)Instruction limit reached!
% 20.60/7.22 % (879500)------------------------------
% 20.60/7.22 % (879500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.60/7.22 % (879500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.60/7.22 % (879500)CaDiCaL version: 2.1.3
% 20.60/7.22 % (879500)Termination reason: Instruction limit
% 20.60/7.22 % (879500)Termination phase: shuffling
% 20.60/7.22 % (879500)Time elapsed: 0.073 s
% 20.60/7.22 % (879500)Peak memory usage: 28 MB
% 20.60/7.22 % (879500)Instructions burned: 131 (million)
% 20.60/7.22 % (879438) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-879299-879438"...
% 20.60/7.22 % (879502)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=4156284016:st=1.5:i=346:rtra=on:ss=axioms_2968 on theBenchmark for (2968ds/346Mi)
% 20.60/7.22 % (879438)...printing done.
% 20.60/7.22 % (879438)Refutation found. Thanks to Tanya!
% 20.60/7.22 % SZS status Theorem for theBenchmark
% 20.60/7.22 % SZS output start Proof for theBenchmark
% 20.60/7.22 thf(type_def_5, type, vEBT_VEBT: $tType).
% 20.60/7.22 thf(type_def_6, type, code_integer: $tType).
% 20.60/7.22 thf(type_def_7, type, product_unit: $tType).
% 20.60/7.22 thf(type_def_8, type, product_prod: ($tType * $tType) > $tType).
% 20.60/7.22 thf(type_def_9, type, extended_enat: $tType).
% 20.60/7.22 thf(type_def_10, type, complex: $tType).
% 20.60/7.22 thf(type_def_11, type, literal: $tType).
% 20.60/7.22 thf(type_def_12, type, sum_sum: ($tType * $tType) > $tType).
% 20.60/7.22 thf(type_def_13, type, option: $tType > $tType).
% 20.60/7.22 thf(type_def_14, type, filter: $tType > $tType).
% 20.60/7.22 thf(type_def_15, type, char: $tType).
% 20.60/7.22 thf(type_def_16, type, real: $tType).
% 20.60/7.22 thf(type_def_17, type, list: $tType > $tType).
% 20.60/7.22 thf(type_def_18, type, set: $tType > $tType).
% 20.60/7.22 thf(type_def_19, type, rat: $tType).
% 20.60/7.22 thf(type_def_20, type, num: $tType).
% 20.60/7.22 thf(type_def_21, type, nat: $tType).
% 20.60/7.22 thf(type_def_22, type, int: $tType).
% 20.60/7.22 thf(type_def_23, type, itself: $tType > $tType).
% 20.60/7.22 thf(type_def_24, type, sTfun: ($tType * $tType) > $tType).
% 20.60/7.22 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_1, type, size: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_2, type, dvd: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_3, type, one: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_4, type, idom: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_5, type, ring: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_6, type, plus: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_7, type, zero: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_8, type, numeral: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_9, type, power: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_10, type, field: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_11, type, ring_gcd: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_12, type, ring_1: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_13, type, uminus: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_14, type, bot: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_15, type, ord: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_16, type, top: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_17, type, inverse: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_18, type, semiring: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_19, type, ring_char_0: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_20, type, neg_numeral: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_21, type, order: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_22, type, comm_ring: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_23, type, semiring_Gcd: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_24, type, semiring_gcd: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_25, type, group_add: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_26, type, lattice: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_27, type, no_bot: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_28, type, no_top: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_29, type, semiring_0: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_30, type, semiring_1: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_31, type, finite_finite: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_32, type, monoid_add: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_33, type, comm_ring_1: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_34, type, ln: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_35, type, monoid_mult: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_36, type, linorder: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_37, type, preorder: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_38, type, ring_parity: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_39, type, ordered_ring: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_40, type, finite_lattice: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_41, type, field_char_0: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_42, type, ab_group_add: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_43, type, semiring_char_0: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_44, type, order_bot: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_45, type, order_top: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_46, type, wellorder: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_47, type, comm_semiring: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_48, type, zero_less_one: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_49, type, division_ring: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_50, type, semigroup_add: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_51, type, semiring_numeral: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_52, type, semidom_divide: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_53, type, semidom_modulo: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_54, type, semigroup_mult: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_55, type, dense_order: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_56, type, comm_semiring_0: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_57, type, comm_semiring_1: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_58, type, linordered_idom: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_59, type, linordered_ring: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_60, type, semiring_modulo: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_61, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_62, type, semiring_parity: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_63, type, ordered_ring_abs: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_64, type, ordered_semiring: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_65, type, linordered_field: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_66, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_67, type, comm_monoid_diff: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_68, type, comm_monoid_mult: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_69, type, algebraic_semidom: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_70, type, semiring_1_cancel: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_71, type, ab_semigroup_mult: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_72, type, bounded_lattice: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_73, type, distrib_lattice: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_74, type, semilattice_inf: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_75, type, semilattice_sup: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_76, type, dense_linorder: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_77, type, linordered_semidom: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_78, type, ordered_semiring_0: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_79, type, real_Vector_banach: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_80, type, linordered_semiring: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_81, type, comple9053668089753744459l_ccpo: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_82, type, finite8700451911770168679attice: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_83, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_84, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_85, type, linord6961819062388156250ring_1: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_86, type, ordere2520102378445227354miring: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_87, type, topological_t1_space: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_88, type, topological_t2_space: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_89, type, topological_t3_space: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_90, type, topological_t4_space: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_91, type, bit_semiring_bits: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_92, type, bounded_lattice_bot: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_93, type, topolo1633459387980952147up_add: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_94, type, comm_s4317794764714335236cancel: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_95, type, linord4710134922213307826strict: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_96, type, cancel1802427076303600483id_add: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_97, type, topolo6943815403480290642id_add: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_98, type, real_V7773925162809079976_field: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_99, type, ring_15535105094025558882visors: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_100, type, cancel2418104881723323429up_add: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_101, type, linord5086331880401160121up_add: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_102, type, ordere6911136660526730532id_add: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_103, type, topolo1898628316856586783d_mult: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_104, type, real_V4867850818363320053vector: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_105, type, archim2362893244070406136eiling: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_106, type, semiri6843258321239162965malize: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_107, type, ordere166539214618696060dd_abs: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_108, type, ordere6658533253407199908up_add: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_109, type, topolo1287966508704411220up_add: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_110, type, real_V7819770556892013058_space: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_111, type, semiri3467727345109120633visors: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_112, type, boolea8198339166811842893lgebra: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_113, type, linord8928482502909563296strict: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_114, type, topolo8386298272705272623_space: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_115, type, topolo7287701948861334536_space: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_116, type, real_V8037385150606011577_space: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_117, type, real_V2191834092415804123ebra_1: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_118, type, linord181362715937106298miring: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_119, type, semiri2026040879449505780visors: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_120, type, topolo2564578578187576103pology: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_121, type, bit_ri3973907225187159222ations: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_122, type, comple6319245703460814977attice: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_123, type, linord4140545234300271783up_add: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_124, type, topolo5987344860129210374id_add: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_125, type, unboun7993243217541854897norder: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_126, type, real_V768167426530841204y_dist: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_127, type, linord715952674999750819strict: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_128, type, archim462609752435547400_field: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_129, type, comple5582772986160207858norder: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_130, type, real_V5047593784448816457lgebra: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_131, type, bounde4346867609351753570nf_top: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_132, type, bounde4967611905675639751up_bot: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_133, type, real_V3459762299906320749_field: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_134, type, topolo8865339358273720382pology: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_135, type, topolo1944317154257567458pology: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_136, type, topolo4958980785337419405_space: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_137, type, canoni5634975068530333245id_add: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_138, type, ordere8940638589300402666id_add: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_139, type, strict7427464778891057005id_add: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_140, type, real_V822414075346904944vector: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_141, type, linord2810124833399127020strict: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_142, type, bit_se359711467146920520ations: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_143, type, ordere2412721322843649153imp_le: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_144, type, ordere580206878836729694up_add: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_145, type, ordere1170586879665033532d_diff: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_146, type, strict9044650504122735259up_add: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_147, type, real_V5355595471888546746vector: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_148, type, real_V4412858255891104859lgebra: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_149, type, euclid8851590272496341667cancel: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_150, type, real_V2822296259951069270ebra_1: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_151, type, unique1627219031080169319umeral: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_152, type, comple592849572758109894attice: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_153, type, real_V8999393235501362500lgebra: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_154, type, topolo3112930676232923870pology: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_155, type, euclid4440199948858584721cancel: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_156, type, euclid3128863361964157862miring: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_157, type, topolo8458572112393995274pology: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_158, type, ordere1937475149494474687imp_le: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_159, type, euclid8789492081693882211th_nat: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_160, type, euclid5411537665997757685th_nat: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_161, type, counta3822494911875563373attice: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_162, type, semiri1453513574482234551roduct: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_163, type, bit_un5681908812861735899ations: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_164, type, condit1219197933456340205attice: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_165, type, counta4013691401010221786attice: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_166, type, condit6923001295902523014norder: !>[X0: $tType]:($o)).
% 20.60/7.22 thf(func_def_167, type, archimedean_ceiling: !>[X0: $tType]:((X0 > int))).
% 20.60/7.22 thf(func_def_168, type, archim6421214686448440834_floor: !>[X0: $tType]:((X0 > int))).
% 20.60/7.22 thf(func_def_169, type, archimedean_frac: !>[X0: $tType]:((X0 > X0))).
% 20.60/7.22 thf(func_def_170, type, archimedean_round: !>[X0: $tType]:((X0 > int))).
% 20.60/7.22 thf(func_def_171, type, bNF_Cardinal_Csum: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > set @ product_prod @ X1 @ X1) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 20.60/7.22 thf(func_def_172, type, bNF_Cardinal_cexp: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > set @ product_prod @ (X1 > X0) @ (X1 > X0)))).
% 20.60/7.22 thf(func_def_173, type, bNF_Cardinal_cfinite: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 20.60/7.22 thf(func_def_174, type, bNF_Ca4139267488887388095finite: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 20.60/7.22 thf(func_def_175, type, bNF_Cardinal_cone: set @ product_prod @ product_unit @ product_unit).
% 20.60/7.22 thf(func_def_176, type, bNF_Cardinal_cprod: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 20.60/7.22 thf(func_def_177, type, bNF_Cardinal_csum: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > set @ product_prod @ sum_sum @ X0 @ X1 @ sum_sum @ X0 @ X1))).
% 20.60/7.22 thf(func_def_178, type, bNF_Cardinal_ctwo: set @ product_prod @ $o @ $o).
% 20.60/7.22 thf(func_def_179, type, bNF_Cardinal_czero: !>[X0: $tType]:(set @ product_prod @ X0 @ X0)).
% 20.60/7.22 thf(func_def_180, type, bNF_Ca8387033319878233205ardSuc: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ set @ X0 @ set @ X0))).
% 20.60/7.22 thf(func_def_181, type, bNF_Ca6860139660246222851ard_of: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0))).
% 20.60/7.22 thf(func_def_182, type, bNF_Ca8970107618336181345der_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 20.60/7.22 thf(func_def_183, type, bNF_Ca7293521722713021262ofinal: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 20.60/7.22 thf(func_def_184, type, bNF_Ca6246979054910435723ardSuc: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ set @ X0 @ set @ X0 > $o))).
% 20.60/7.22 thf(func_def_185, type, bNF_Ca8665028551170535155natLeq: set @ product_prod @ nat @ nat).
% 20.60/7.22 thf(func_def_186, type, bNF_Ca7133664381575040944arCard: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 20.60/7.22 thf(func_def_187, type, bNF_Ca3754400796208372196lChain: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X1) > $o))).
% 20.60/7.22 thf(func_def_188, type, bNF_Gr: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > set @ product_prod @ X0 @ X1))).
% 20.60/7.22 thf(func_def_189, type, bNF_collect: !>[X0: $tType, X1: $tType]:((set @ (X0 > set @ X1) > X0 > set @ X1))).
% 20.60/7.22 thf(func_def_190, type, bNF_rel_fun: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1 > $o) > (X2 > X3 > $o) > (X0 > X2) > (X1 > X3) > $o))).
% 20.60/7.22 thf(func_def_191, type, bNF_Gr5436034075474128252omCard: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ product_prod @ X1 @ X1 > X1 > X0))).
% 20.60/7.22 thf(func_def_192, type, bNF_Greatest_image2: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > X1) > (X0 > X2) > set @ product_prod @ X1 @ X2))).
% 20.60/7.22 thf(func_def_193, type, bNF_Gr4221423524335903396lImage: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X1) > set @ product_prod @ X1 @ X1))).
% 20.60/7.22 thf(func_def_194, type, bNF_Gr7122648621184425601vImage: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ product_prod @ X1 @ X1 > (X0 > X1) > set @ product_prod @ X0 @ X0))).
% 20.60/7.22 thf(func_def_195, type, bNF_Greatest_toCard: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ product_prod @ X1 @ X1 > X0 > X1))).
% 20.60/7.22 thf(func_def_196, type, bNF_Gr1419584066657907630d_pred: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ product_prod @ X1 @ X1 > (X0 > X1) > $o))).
% 20.60/7.22 thf(func_def_197, type, bNF_Wellorder_Func: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > set @ (X0 > X1)))).
% 20.60/7.22 thf(func_def_198, type, bNF_We4925052301507509544nc_map: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((set @ X0 > (X1 > X2) > (X0 > X3) > (X3 > X1) > X0 > X2))).
% 20.60/7.22 thf(func_def_199, type, bNF_Wellorder_bsqr: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ product_prod @ X0 @ X0 @ product_prod @ X0 @ X0))).
% 20.60/7.22 thf(func_def_200, type, bNF_We2720479622203943262_image: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X1) > set @ product_prod @ X1 @ X1))).
% 20.60/7.22 thf(func_def_201, type, bNF_We413866401316099525erIncl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ set @ X0 @ set @ X0))).
% 20.60/7.22 thf(func_def_202, type, bNF_Wellorder_ordIso: !>[X0: $tType, X1: $tType]:(set @ product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X1 @ X1)).
% 20.60/7.22 thf(func_def_203, type, bNF_Wellorder_ordLeq: !>[X0: $tType, X1: $tType]:(set @ product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X1 @ X1)).
% 20.60/7.22 thf(func_def_204, type, bNF_We4044943003108391690rdLess: !>[X0: $tType, X1: $tType]:(set @ product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X1 @ X1)).
% 20.60/7.22 thf(func_def_205, type, bNF_Wellorder_embed: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > (X0 > X1) > $o))).
% 20.60/7.22 thf(func_def_206, type, bNF_Wellorder_wo_rel: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 20.60/7.22 thf(func_def_207, type, bNF_We4791949203932849705sMinim: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > X0 > $o))).
% 20.60/7.22 thf(func_def_208, type, bNF_We1388413361240627857o_max2: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 20.60/7.22 thf(func_def_209, type, bNF_We6954850376910717587_minim: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > X0))).
% 20.60/7.22 thf(func_def_210, type, bNF_Wellorder_wo_suc: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > X0))).
% 20.60/7.22 thf(func_def_211, type, basic_BNF_size_prod: !>[X0: $tType, X1: $tType]:(((X0 > nat) > (X1 > nat) > product_prod @ X0 @ X1 > nat))).
% 20.60/7.22 thf(func_def_212, type, basic_fsts: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > set @ X0))).
% 20.60/7.22 thf(func_def_213, type, basic_snds: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > set @ X1))).
% 20.60/7.22 thf(func_def_214, type, binomial: (nat > nat > nat)).
% 20.60/7.22 thf(func_def_215, type, gbinomial: !>[X0: $tType]:((X0 > nat > X0))).
% 20.60/7.22 thf(func_def_216, type, bit_and_int_rel: (product_prod @ int @ int > product_prod @ int @ int > $o)).
% 20.60/7.22 thf(func_def_217, type, bit_and_not_num: (num > num > option @ num)).
% 20.60/7.22 thf(func_def_218, type, bit_and_not_num_rel: (product_prod @ num @ num > product_prod @ num @ num > $o)).
% 20.60/7.22 thf(func_def_219, type, bit_concat_bit: (nat > int > int > int)).
% 20.60/7.22 thf(func_def_220, type, bit_or_not_num_neg: (num > num > num)).
% 20.60/7.22 thf(func_def_221, type, bit_or3848514188828904588eg_rel: (product_prod @ num @ num > product_prod @ num @ num > $o)).
% 20.60/7.22 thf(func_def_222, type, bit_ri4277139882892585799ns_not: !>[X0: $tType]:((X0 > X0))).
% 20.60/7.22 thf(func_def_223, type, bit_ri4674362597316999326ke_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 20.60/7.22 thf(func_def_224, type, bit_se5824344872417868541ns_and: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.60/7.22 thf(func_def_225, type, bit_se4197421643247451524op_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 20.60/7.22 thf(func_def_226, type, bit_se8732182000553998342ip_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 20.60/7.22 thf(func_def_227, type, bit_se2239418461657761734s_mask: !>[X0: $tType]:((nat > X0))).
% 20.60/7.22 thf(func_def_228, type, bit_se1065995026697491101ons_or: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.60/7.22 thf(func_def_229, type, bit_se4730199178511100633sh_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 20.60/7.22 thf(func_def_230, type, bit_se5668285175392031749et_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 20.60/7.22 thf(func_def_231, type, bit_se2584673776208193580ke_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 20.60/7.22 thf(func_def_232, type, bit_se2638667681897837118et_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 20.60/7.22 thf(func_def_233, type, bit_se5824344971392196577ns_xor: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.60/7.22 thf(func_def_234, type, bit_se5641148757651400278ts_bit: !>[X0: $tType]:((X0 > nat > $o))).
% 20.60/7.22 thf(func_def_235, type, bit_se6407376104438227557le_bit: !>[X0: $tType]:((itself @ X0 > nat > $o))).
% 20.60/7.22 thf(func_def_236, type, bit_take_bit_num: (nat > num > option @ num)).
% 20.60/7.22 thf(func_def_237, type, bit_un7362597486090784418nd_num: (num > num > option @ num)).
% 20.60/7.22 thf(func_def_238, type, bit_un4731106466462545111um_rel: (product_prod @ num @ num > product_prod @ num @ num > $o)).
% 20.60/7.22 thf(func_def_239, type, bit_un2480387367778600638or_num: (num > num > option @ num)).
% 20.60/7.22 thf(func_def_240, type, bit_un2901131394128224187um_rel: (product_prod @ num @ num > product_prod @ num @ num > $o)).
% 20.60/7.22 thf(func_def_241, type, boolea2506097494486148201lgebra: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > (X0 > X0) > X0 > X0 > $o))).
% 20.60/7.22 thf(func_def_242, type, code_bit_cut_integer: (code_integer > product_prod @ code_integer @ $o)).
% 20.60/7.22 thf(func_def_243, type, code_divmod_abs: (code_integer > code_integer > product_prod @ code_integer @ code_integer)).
% 20.60/7.22 thf(func_def_244, type, code_divmod_integer: (code_integer > code_integer > product_prod @ code_integer @ code_integer)).
% 20.60/7.22 thf(func_def_245, type, code_int_of_integer: (code_integer > int)).
% 20.60/7.22 thf(func_def_246, type, code_integer_of_int: (int > code_integer)).
% 20.60/7.22 thf(func_def_247, type, code_integer_of_nat: (nat > code_integer)).
% 20.60/7.22 thf(func_def_248, type, code_integer_of_num: (num > code_integer)).
% 20.60/7.22 thf(func_def_249, type, code_nat_of_integer: (code_integer > nat)).
% 20.60/7.22 thf(func_def_250, type, code_negative: (num > code_integer)).
% 20.60/7.22 thf(func_def_251, type, code_num_of_integer: (code_integer > num)).
% 20.60/7.22 thf(func_def_252, type, code_positive: (num > code_integer)).
% 20.60/7.22 thf(func_def_253, type, code_Target_negative: (num > int)).
% 20.60/7.22 thf(func_def_254, type, code_Target_positive: (num > int)).
% 20.60/7.22 thf(func_def_255, type, complete_Inf_Inf: !>[X0: $tType]:((set @ X0 > X0))).
% 20.60/7.22 thf(func_def_256, type, complete_Sup_Sup: !>[X0: $tType]:((set @ X0 > X0))).
% 20.60/7.22 thf(func_def_257, type, comple1908693960933563346ssible: !>[X0: $tType]:(((set @ X0 > X0) > (X0 > X0 > $o) > (X0 > $o) > $o))).
% 20.60/7.22 thf(func_def_258, type, comple7512665784863727008ratesp: !>[X0: $tType]:(((X0 > X0) > X0 > $o))).
% 20.60/7.22 thf(func_def_259, type, comple1602240252501008431_chain: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 20.60/7.22 thf(func_def_260, type, arg: (complex > real)).
% 20.60/7.22 thf(func_def_261, type, cis: (real > complex)).
% 20.60/7.22 thf(func_def_262, type, cnj: (complex > complex)).
% 20.60/7.22 thf(func_def_263, type, complex2: (real > real > complex)).
% 20.60/7.22 thf(func_def_264, type, im: (complex > real)).
% 20.60/7.22 thf(func_def_265, type, re: (complex > real)).
% 20.60/7.22 thf(func_def_266, type, csqrt: (complex > complex)).
% 20.60/7.22 thf(func_def_267, type, imaginary_unit: complex).
% 20.60/7.22 thf(func_def_268, type, rcis: (real > real > complex)).
% 20.60/7.22 thf(func_def_269, type, condit941137186595557371_above: !>[X0: $tType]:((set @ X0 > $o))).
% 20.60/7.22 thf(func_def_270, type, condit1013018076250108175_below: !>[X0: $tType]:((set @ X0 > $o))).
% 20.60/7.22 thf(func_def_271, type, countable_countable: !>[X0: $tType]:((set @ X0 > $o))).
% 20.60/7.22 thf(func_def_272, type, counta4804993851260445106t_into: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 20.60/7.22 thf(func_def_273, type, has_derivative: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > filter @ X0 > $o))).
% 20.60/7.22 thf(func_def_274, type, has_field_derivative: !>[X0: $tType]:(((X0 > X0) > X0 > filter @ X0 > $o))).
% 20.60/7.22 thf(func_def_275, type, has_ve8173657378732805170vative: !>[X0: $tType]:(((real > X0) > X0 > filter @ real > $o))).
% 20.60/7.22 thf(func_def_276, type, adjust_div: (product_prod @ int @ int > int)).
% 20.60/7.22 thf(func_def_277, type, adjust_mod: (int > int > int)).
% 20.60/7.22 thf(func_def_278, type, divmod_nat: (nat > nat > product_prod @ nat @ nat)).
% 20.60/7.22 thf(func_def_279, type, eucl_rel_int: (int > int > product_prod @ int @ int > $o)).
% 20.60/7.22 thf(func_def_280, type, unique5940410009612947441es_aux: !>[X0: $tType]:((product_prod @ X0 @ X0 > $o))).
% 20.60/7.22 thf(func_def_281, type, unique8689654367752047608divmod: !>[X0: $tType]:((num > num > product_prod @ X0 @ X0))).
% 20.60/7.22 thf(func_def_282, type, unique1321980374590559556d_step: !>[X0: $tType]:((num > product_prod @ X0 @ X0 > product_prod @ X0 @ X0))).
% 20.60/7.22 thf(func_def_283, type, equiv_congruent: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X1) > $o))).
% 20.60/7.22 thf(func_def_284, type, equiv_congruent2: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > (X0 > X1 > X2) > $o))).
% 20.60/7.22 thf(func_def_285, type, equiv_equiv: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 20.60/7.22 thf(func_def_286, type, equiv_proj: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > X0 > set @ X1))).
% 20.60/7.22 thf(func_def_287, type, equiv_quotient: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > set @ set @ X0))).
% 20.60/7.22 thf(func_def_288, type, extended_eSuc: (extended_enat > extended_enat)).
% 20.60/7.22 thf(func_def_289, type, extended_enat2: (nat > extended_enat)).
% 20.60/7.22 thf(func_def_290, type, extended_case_enat: !>[X0: $tType]:(((nat > X0) > X0 > extended_enat > X0))).
% 20.60/7.22 thf(func_def_291, type, extend4730790105801354508finity: !>[X0: $tType]:(X0)).
% 20.60/7.22 thf(func_def_292, type, comm_s3205402744901411588hammer: !>[X0: $tType]:((X0 > nat > X0))).
% 20.60/7.22 thf(func_def_293, type, semiring_char_0_fact: !>[X0: $tType]:((nat > X0))).
% 20.60/7.22 thf(func_def_294, type, inverse_inverse: !>[X0: $tType]:((X0 > X0))).
% 20.60/7.22 thf(func_def_295, type, at_bot: !>[X0: $tType]:(filter @ X0)).
% 20.60/7.22 thf(func_def_296, type, at_top: !>[X0: $tType]:(filter @ X0)).
% 20.60/7.22 thf(func_def_297, type, eventually: !>[X0: $tType]:(((X0 > $o) > filter @ X0 > $o))).
% 20.60/7.22 thf(func_def_298, type, abs_filter: !>[X0: $tType]:((((X0 > $o) > $o) > filter @ X0))).
% 20.60/7.22 thf(func_def_299, type, filtercomap: !>[X0: $tType, X1: $tType]:(((X0 > X1) > filter @ X1 > filter @ X0))).
% 20.60/7.22 thf(func_def_300, type, filterlim: !>[X0: $tType, X1: $tType]:(((X0 > X1) > filter @ X1 > filter @ X0 > $o))).
% 20.60/7.22 thf(func_def_301, type, filtermap: !>[X0: $tType, X1: $tType]:(((X0 > X1) > filter @ X0 > filter @ X1))).
% 20.60/7.22 thf(func_def_302, type, finite5375528669736107172at_top: !>[X0: $tType]:((set @ X0 > filter @ set @ X0))).
% 20.60/7.22 thf(func_def_303, type, frequently: !>[X0: $tType]:(((X0 > $o) > filter @ X0 > $o))).
% 20.60/7.22 thf(func_def_304, type, map_filter_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > filter @ X0 > filter @ X1))).
% 20.60/7.22 thf(func_def_305, type, principal: !>[X0: $tType]:((set @ X0 > filter @ X0))).
% 20.60/7.22 thf(func_def_306, type, prod_filter: !>[X0: $tType, X1: $tType]:((filter @ X0 > filter @ X1 > filter @ product_prod @ X0 @ X1))).
% 20.60/7.22 thf(func_def_307, type, rel_filter: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > filter @ X0 > filter @ X1 > $o))).
% 20.60/7.22 thf(func_def_308, type, finite_Fpow: !>[X0: $tType]:((set @ X0 > set @ set @ X0))).
% 20.60/7.22 thf(func_def_309, type, finite_card: !>[X0: $tType]:((set @ X0 > nat))).
% 20.60/7.22 thf(func_def_310, type, finite6289374366891150609ommute: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > $o))).
% 20.60/7.22 thf(func_def_311, type, finite4664212375090638736ute_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1 > X1) > $o))).
% 20.60/7.22 thf(func_def_312, type, finite673082921795544331dem_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1 > X1) > $o))).
% 20.60/7.22 thf(func_def_313, type, finite_finite2: !>[X0: $tType]:((set @ X0 > $o))).
% 20.60/7.22 thf(func_def_314, type, finite_fold: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > X1 > set @ X0 > X1))).
% 20.60/7.22 thf(func_def_315, type, finite_fold_graph: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > X1 > set @ X0 > X1 > $o))).
% 20.60/7.22 thf(func_def_316, type, finite1890593828518410140dem_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1 > X1) > $o))).
% 20.60/7.22 thf(func_def_317, type, finite_folding_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1 > X1) > $o))).
% 20.60/7.22 thf(func_def_318, type, finite_folding_F: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > X1 > set @ X0 > X1))).
% 20.60/7.22 thf(func_def_319, type, bij_betw: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1 > $o))).
% 20.60/7.22 thf(func_def_320, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > X2 > X1))).
% 20.60/7.22 thf(func_def_321, type, fun_upd: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > X1 > X0 > X1))).
% 20.60/7.22 thf(func_def_322, type, id: !>[X0: $tType]:((X0 > X0))).
% 20.60/7.22 thf(func_def_323, type, inj_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > $o))).
% 20.60/7.22 thf(func_def_324, type, map_fun: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > (X1 > X2) > X0 > X3))).
% 20.60/7.22 thf(func_def_325, type, the_inv_into: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X1 > X0))).
% 20.60/7.22 thf(func_def_326, type, fun_max_strict: set @ product_prod @ set @ product_prod @ nat @ nat @ set @ product_prod @ nat @ nat).
% 20.60/7.22 thf(func_def_327, type, fun_max_weak: set @ product_prod @ set @ product_prod @ nat @ nat @ set @ product_prod @ nat @ nat).
% 20.60/7.22 thf(func_def_328, type, fun_min_strict: set @ product_prod @ set @ product_prod @ nat @ nat @ set @ product_prod @ nat @ nat).
% 20.60/7.22 thf(func_def_329, type, fun_min_weak: set @ product_prod @ set @ product_prod @ nat @ nat @ set @ product_prod @ nat @ nat).
% 20.60/7.22 thf(func_def_330, type, fun_pair_leq: set @ product_prod @ product_prod @ nat @ nat @ product_prod @ nat @ nat).
% 20.60/7.22 thf(func_def_331, type, fun_pair_less: set @ product_prod @ product_prod @ nat @ nat @ product_prod @ nat @ nat).
% 20.60/7.22 thf(func_def_332, type, fun_reduction_pair: !>[X0: $tType]:((product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X0 @ X0 > $o))).
% 20.60/7.22 thf(func_def_333, type, fun_rp_inv_image: !>[X0: $tType, X1: $tType]:((product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X0 @ X0 > (X1 > X0) > product_prod @ set @ product_prod @ X1 @ X1 @ set @ product_prod @ X1 @ X1))).
% 20.60/7.22 thf(func_def_334, type, gcd_Gcd: !>[X0: $tType]:((set @ X0 > X0))).
% 20.60/7.22 thf(func_def_335, type, bezw: (nat > nat > product_prod @ int @ int)).
% 20.60/7.22 thf(func_def_336, type, bezw_rel: (product_prod @ nat @ nat > product_prod @ nat @ nat > $o)).
% 20.60/7.22 thf(func_def_337, type, gcd_gcd: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.60/7.22 thf(func_def_338, type, gcd_nat_rel: (product_prod @ nat @ nat > product_prod @ nat @ nat > $o)).
% 20.60/7.22 thf(func_def_339, type, semiring_gcd_Gcd_fin: !>[X0: $tType]:((set @ X0 > X0))).
% 20.60/7.22 thf(func_def_340, type, abs_abs: !>[X0: $tType]:((X0 > X0))).
% 20.60/7.22 thf(func_def_341, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.60/7.22 thf(func_def_342, type, one_one: !>[X0: $tType]:(X0)).
% 20.60/7.22 thf(func_def_343, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.60/7.22 thf(func_def_344, type, sgn_sgn: !>[X0: $tType]:((X0 > X0))).
% 20.60/7.22 thf(func_def_345, type, times_times: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.60/7.22 thf(func_def_346, type, uminus_uminus: !>[X0: $tType]:((X0 > X0))).
% 20.60/7.22 thf(func_def_347, type, zero_zero: !>[X0: $tType]:(X0)).
% 20.60/7.22 thf(func_def_348, type, groups7311177749621191930dd_sum: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 20.60/7.22 thf(func_def_349, type, groups1027152243600224163dd_sum: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 20.60/7.22 thf(func_def_350, type, groups7121269368397514597t_prod: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 20.60/7.22 thf(func_def_351, type, groups1962203154675924110t_prod: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 20.60/7.22 thf(func_def_352, type, groups4207007520872428315er_sum: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1 > list @ X0 > X1))).
% 20.60/7.22 thf(func_def_353, type, groups8242544230860333062m_list: !>[X0: $tType]:((list @ X0 > X0))).
% 20.60/7.22 thf(func_def_354, type, groups5270119922927024881d_list: !>[X0: $tType]:((list @ X0 > X0))).
% 20.60/7.22 thf(func_def_355, type, nO_MATCH: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o))).
% 20.60/7.22 thf(func_def_356, type, the: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_357, type, undefined: !>[X0: $tType]:(X0)).
% 20.60/7.22 thf(func_def_358, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 20.60/7.22 thf(func_def_359, type, complete_lattice_gfp: !>[X0: $tType]:(((X0 > X0) > X0))).
% 20.60/7.22 thf(func_def_360, type, complete_lattice_lfp: !>[X0: $tType]:(((X0 > X0) > X0))).
% 20.60/7.22 thf(func_def_361, type, infini527867602293511546merate: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 20.60/7.22 thf(func_def_362, type, abs_Integ: (product_prod @ nat @ nat > int)).
% 20.60/7.22 thf(func_def_363, type, rep_Integ: (int > product_prod @ nat @ nat)).
% 20.60/7.22 thf(func_def_364, type, intrel: (product_prod @ nat @ nat > product_prod @ nat @ nat > $o)).
% 20.60/7.22 thf(func_def_365, type, nat2: (int > nat)).
% 20.60/7.22 thf(func_def_366, type, pcr_int: (product_prod @ nat @ nat > int > $o)).
% 20.60/7.22 thf(func_def_367, type, power_int: !>[X0: $tType]:((X0 > int > X0))).
% 20.60/7.22 thf(func_def_368, type, ring_1_Ints: !>[X0: $tType]:(set @ X0)).
% 20.60/7.22 thf(func_def_369, type, ring_1_of_int: !>[X0: $tType]:((int > X0))).
% 20.60/7.22 thf(func_def_370, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.60/7.22 thf(func_def_371, type, semila1105856199041335345_order: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > (X0 > X0 > $o) > (X0 > X0 > $o) > $o))).
% 20.60/7.22 thf(func_def_372, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.60/7.22 thf(func_def_373, type, lattices_Max: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0))).
% 20.60/7.22 thf(func_def_374, type, lattices_Min: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0))).
% 20.60/7.22 thf(func_def_375, type, lattic643756798349783984er_Max: !>[X0: $tType]:((set @ X0 > X0))).
% 20.60/7.22 thf(func_def_376, type, lattic643756798350308766er_Min: !>[X0: $tType]:((set @ X0 > X0))).
% 20.60/7.22 thf(func_def_377, type, lattices_ord_arg_min: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_378, type, lattic7623131987881927897min_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 20.60/7.22 thf(func_def_379, type, lattic501386751177426532rg_min: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > X0 > $o))).
% 20.60/7.22 thf(func_def_380, type, lattic7752659483105999362nf_fin: !>[X0: $tType]:((set @ X0 > X0))).
% 20.60/7.22 thf(func_def_381, type, lattic4895041142388067077er_set: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > $o) > (X0 > X0 > $o) > $o))).
% 20.60/7.22 thf(func_def_382, type, lattic149705377957585745ce_set: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 20.60/7.22 thf(func_def_383, type, lattic1715443433743089157tice_F: !>[X0: $tType]:(((X0 > X0 > X0) > set @ X0 > X0))).
% 20.60/7.22 thf(func_def_384, type, lattic5882676163264333800up_fin: !>[X0: $tType]:((set @ X0 > X0))).
% 20.60/7.22 thf(func_def_385, type, bfun: !>[X0: $tType, X1: $tType]:(((X0 > X1) > filter @ X0 > $o))).
% 20.60/7.22 thf(func_def_386, type, at_infinity: !>[X0: $tType]:(filter @ X0)).
% 20.60/7.22 thf(func_def_387, type, bleast: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_388, type, abort_Bleast: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_389, type, append: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 20.60/7.22 thf(func_def_390, type, arg_min_list: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > X0))).
% 20.60/7.22 thf(func_def_391, type, arg_min_list_rel: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > product_prod @ (X0 > X1) @ list @ X0 > $o))).
% 20.60/7.22 thf(func_def_392, type, bind: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > list @ X1) > list @ X1))).
% 20.60/7.22 thf(func_def_393, type, butlast: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 20.60/7.22 thf(func_def_394, type, concat: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 20.60/7.22 thf(func_def_395, type, coset: !>[X0: $tType]:((list @ X0 > set @ X0))).
% 20.60/7.22 thf(func_def_396, type, count_list: !>[X0: $tType]:((list @ X0 > X0 > nat))).
% 20.60/7.22 thf(func_def_397, type, distinct: !>[X0: $tType]:((list @ X0 > $o))).
% 20.60/7.22 thf(func_def_398, type, drop: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 20.60/7.22 thf(func_def_399, type, dropWhile: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 20.60/7.22 thf(func_def_400, type, enumerate: !>[X0: $tType]:((nat > list @ X0 > list @ product_prod @ nat @ X0))).
% 20.60/7.22 thf(func_def_401, type, extract: !>[X0: $tType]:(((X0 > $o) > list @ X0 > option @ product_prod @ list @ X0 @ product_prod @ X0 @ list @ X0))).
% 20.60/7.22 thf(func_def_402, type, filter2: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 20.60/7.22 thf(func_def_403, type, find: !>[X0: $tType]:(((X0 > $o) > list @ X0 > option @ X0))).
% 20.60/7.22 thf(func_def_404, type, fold: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > list @ X0 > X1 > X1))).
% 20.60/7.22 thf(func_def_405, type, folding_insort_key: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > set @ X1 > (X1 > X0) > $o))).
% 20.60/7.22 thf(func_def_406, type, foldl: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X0) > X0 > list @ X1 > X0))).
% 20.60/7.22 thf(func_def_407, type, foldr: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > list @ X0 > X1 > X1))).
% 20.60/7.22 thf(func_def_408, type, gen_length: !>[X0: $tType]:((nat > list @ X0 > nat))).
% 20.60/7.22 thf(func_def_409, type, insert: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 20.60/7.22 thf(func_def_410, type, last: !>[X0: $tType]:((list @ X0 > X0))).
% 20.60/7.22 thf(func_def_411, type, lenlex: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 20.60/7.22 thf(func_def_412, type, lex: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 20.60/7.22 thf(func_def_413, type, lexn: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > set @ product_prod @ list @ X0 @ list @ X0))).
% 20.60/7.22 thf(func_def_414, type, lexord: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 20.60/7.22 thf(func_def_415, type, lexordp: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 20.60/7.22 thf(func_def_416, type, insort_key: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > X1 > list @ X1 > list @ X1))).
% 20.60/7.22 thf(func_def_417, type, sorted8670434370408473282of_set: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > set @ X1 > list @ X1))).
% 20.60/7.22 thf(func_def_418, type, linord329482645794927042rt_key: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > list @ X0 > list @ X0))).
% 20.60/7.22 thf(func_def_419, type, linorder_insort_key: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > list @ X0 > list @ X0))).
% 20.60/7.22 thf(func_def_420, type, linorder_sort_key: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X0))).
% 20.60/7.22 thf(func_def_421, type, linord4507533701916653071of_set: !>[X0: $tType]:((set @ X0 > list @ X0))).
% 20.60/7.22 thf(func_def_422, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 20.60/7.22 thf(func_def_423, type, nil: !>[X0: $tType]:(list @ X0)).
% 20.60/7.22 thf(func_def_424, type, case_list: !>[X0: $tType, X1: $tType]:((X0 > (X1 > list @ X1 > X0) > list @ X1 > X0))).
% 20.60/7.22 thf(func_def_425, type, hd: !>[X0: $tType]:((list @ X0 > X0))).
% 20.60/7.22 thf(func_def_426, type, list_all2: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > $o))).
% 20.60/7.22 thf(func_def_427, type, map: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1))).
% 20.60/7.22 thf(func_def_428, type, rec_list: !>[X0: $tType, X1: $tType]:((X0 > (X1 > list @ X1 > X0 > X0) > list @ X1 > X0))).
% 20.60/7.22 thf(func_def_429, type, set2: !>[X0: $tType]:((list @ X0 > set @ X0))).
% 20.60/7.22 thf(func_def_430, type, size_list: !>[X0: $tType]:(((X0 > nat) > list @ X0 > nat))).
% 20.60/7.22 thf(func_def_431, type, tl: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 20.60/7.22 thf(func_def_432, type, list_update: !>[X0: $tType]:((list @ X0 > nat > X0 > list @ X0))).
% 20.60/7.22 thf(func_def_433, type, listrel: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ list @ X0 @ list @ X1))).
% 20.60/7.22 thf(func_def_434, type, listrel1: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 20.60/7.22 thf(func_def_435, type, listrel1p: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 20.60/7.22 thf(func_def_436, type, listrelp: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > $o))).
% 20.60/7.22 thf(func_def_437, type, lists: !>[X0: $tType]:((set @ X0 > set @ list @ X0))).
% 20.60/7.22 thf(func_def_438, type, map_filter: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > list @ X0 > list @ X1))).
% 20.60/7.22 thf(func_def_439, type, map_project: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ X0 > set @ X1))).
% 20.60/7.22 thf(func_def_440, type, measures: !>[X0: $tType]:((list @ (X0 > nat) > set @ product_prod @ X0 @ X0))).
% 20.60/7.22 thf(func_def_441, type, min_list: !>[X0: $tType]:((list @ X0 > X0))).
% 20.60/7.22 thf(func_def_442, type, n_lists: !>[X0: $tType]:((nat > list @ X0 > list @ list @ X0))).
% 20.60/7.22 thf(func_def_443, type, nth: !>[X0: $tType]:((list @ X0 > nat > X0))).
% 20.60/7.22 thf(func_def_444, type, nths: !>[X0: $tType]:((list @ X0 > set @ nat > list @ X0))).
% 20.60/7.22 thf(func_def_445, type, null: !>[X0: $tType]:((list @ X0 > $o))).
% 20.60/7.22 thf(func_def_446, type, ord_lexordp: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 20.60/7.22 thf(func_def_447, type, partition: !>[X0: $tType]:(((X0 > $o) > list @ X0 > product_prod @ list @ X0 @ list @ X0))).
% 20.60/7.22 thf(func_def_448, type, product: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > list @ product_prod @ X0 @ X1))).
% 20.60/7.22 thf(func_def_449, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 20.60/7.22 thf(func_def_450, type, remdups: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 20.60/7.22 thf(func_def_451, type, remdups_adj: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 20.60/7.22 thf(func_def_452, type, remove1: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 20.60/7.22 thf(func_def_453, type, removeAll: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 20.60/7.22 thf(func_def_454, type, replicate: !>[X0: $tType]:((nat > X0 > list @ X0))).
% 20.60/7.22 thf(func_def_455, type, rev: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 20.60/7.22 thf(func_def_456, type, rotate: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 20.60/7.22 thf(func_def_457, type, rotate1: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 20.60/7.22 thf(func_def_458, type, set_Cons: !>[X0: $tType]:((set @ X0 > set @ list @ X0 > set @ list @ X0))).
% 20.60/7.22 thf(func_def_459, type, shuffles: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ list @ X0))).
% 20.60/7.22 thf(func_def_460, type, sorted_wrt: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o))).
% 20.60/7.22 thf(func_def_461, type, sorted_wrt_rel: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > product_prod @ (X0 > X0 > $o) @ list @ X0 > $o))).
% 20.60/7.22 thf(func_def_462, type, subseqs: !>[X0: $tType]:((list @ X0 > list @ list @ X0))).
% 20.60/7.22 thf(func_def_463, type, take: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 20.60/7.22 thf(func_def_464, type, takeWhile: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 20.60/7.22 thf(func_def_465, type, transpose: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 20.60/7.22 thf(func_def_466, type, union: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 20.60/7.22 thf(func_def_467, type, upt: (nat > nat > list @ nat)).
% 20.60/7.22 thf(func_def_468, type, upto: (int > int > list @ int)).
% 20.60/7.22 thf(func_def_469, type, upto_rel: (product_prod @ int @ int > product_prod @ int @ int > $o)).
% 20.60/7.22 thf(func_def_470, type, zip: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > list @ product_prod @ X0 @ X1))).
% 20.60/7.22 thf(func_def_471, type, dom: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ X0))).
% 20.60/7.22 thf(func_def_472, type, graph: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ product_prod @ X0 @ X1))).
% 20.60/7.22 thf(func_def_473, type, map_add: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > (X0 > option @ X1) > X0 > option @ X1))).
% 20.60/7.22 thf(func_def_474, type, map_comp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ X1) > (X2 > option @ X0) > X2 > option @ X1))).
% 20.60/7.22 thf(func_def_475, type, map_of: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X0 @ X1 > X0 > option @ X1))).
% 20.60/7.22 thf(func_def_476, type, map_upds: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > list @ X0 > list @ X1 > X0 > option @ X1))).
% 20.60/7.22 thf(func_def_477, type, ran: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ X1))).
% 20.60/7.22 thf(func_def_478, type, restrict_map: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ X0 > X0 > option @ X1))).
% 20.60/7.22 thf(func_def_479, type, suc: (nat > nat)).
% 20.60/7.22 thf(func_def_480, type, compow: !>[X0: $tType]:((nat > X0 > X0))).
% 20.60/7.22 thf(func_def_481, type, funpow: !>[X0: $tType]:((nat > (X0 > X0) > X0 > X0))).
% 20.60/7.22 thf(func_def_482, type, case_nat: !>[X0: $tType]:((X0 > (nat > X0) > nat > X0))).
% 20.60/7.22 thf(func_def_483, type, pred: (nat > nat)).
% 20.60/7.22 thf(func_def_484, type, rec_nat: !>[X0: $tType]:((X0 > (nat > X0 > X0) > nat > X0))).
% 20.60/7.22 thf(func_def_485, type, rec_set_nat: !>[X0: $tType]:((X0 > (nat > X0 > X0) > nat > X0 > $o))).
% 20.60/7.22 thf(func_def_486, type, semiring_1_Nats: !>[X0: $tType]:(set @ X0)).
% 20.60/7.22 thf(func_def_487, type, semiring_1_of_nat: !>[X0: $tType]:((nat > X0))).
% 20.60/7.22 thf(func_def_488, type, semiri8178284476397505188at_aux: !>[X0: $tType]:(((X0 > X0) > nat > X0 > X0))).
% 20.60/7.22 thf(func_def_489, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 20.60/7.22 thf(func_def_490, type, nat_list_decode: (nat > list @ nat)).
% 20.60/7.22 thf(func_def_491, type, nat_list_decode_rel: (nat > nat > $o)).
% 20.60/7.22 thf(func_def_492, type, nat_list_encode: (list @ nat > nat)).
% 20.60/7.22 thf(func_def_493, type, nat_list_encode_rel: (list @ nat > list @ nat > $o)).
% 20.60/7.22 thf(func_def_494, type, nat_prod_decode: (nat > product_prod @ nat @ nat)).
% 20.60/7.22 thf(func_def_495, type, nat_prod_decode_aux: (nat > nat > product_prod @ nat @ nat)).
% 20.60/7.22 thf(func_def_496, type, nat_pr5047031295181774490ux_rel: (product_prod @ nat @ nat > product_prod @ nat @ nat > $o)).
% 20.60/7.22 thf(func_def_497, type, nat_prod_encode: (product_prod @ nat @ nat > nat)).
% 20.60/7.22 thf(func_def_498, type, nat_set_decode: (nat > set @ nat)).
% 20.60/7.22 thf(func_def_499, type, nat_set_encode: (set @ nat > nat)).
% 20.60/7.22 thf(func_def_500, type, nat_triangle: (nat > nat)).
% 20.60/7.22 thf(func_def_501, type, root: (nat > real > real)).
% 20.60/7.22 thf(func_def_502, type, sqrt: (real > real)).
% 20.60/7.22 thf(func_def_503, type, bitM: (num > num)).
% 20.60/7.22 thf(func_def_504, type, inc: (num > num)).
% 20.60/7.22 thf(func_def_505, type, neg_numeral_dbl: !>[X0: $tType]:((X0 > X0))).
% 20.60/7.22 thf(func_def_506, type, neg_numeral_dbl_dec: !>[X0: $tType]:((X0 > X0))).
% 20.60/7.22 thf(func_def_507, type, neg_numeral_dbl_inc: !>[X0: $tType]:((X0 > X0))).
% 20.60/7.22 thf(func_def_508, type, neg_numeral_sub: !>[X0: $tType]:((num > num > X0))).
% 20.60/7.22 thf(func_def_509, type, bit0: (num > num)).
% 20.60/7.22 thf(func_def_510, type, bit1: (num > num)).
% 20.60/7.22 thf(func_def_511, type, one2: num).
% 20.60/7.22 thf(func_def_512, type, case_num: !>[X0: $tType]:((X0 > (num > X0) > (num > X0) > num > X0))).
% 20.60/7.22 thf(func_def_513, type, size_num: (num > nat)).
% 20.60/7.22 thf(func_def_514, type, num_of_nat: (nat > num)).
% 20.60/7.22 thf(func_def_515, type, numeral_numeral: !>[X0: $tType]:((num > X0))).
% 20.60/7.22 thf(func_def_516, type, pow: (num > num > num)).
% 20.60/7.22 thf(func_def_517, type, pred_numeral: (num > nat)).
% 20.60/7.22 thf(func_def_518, type, ring_1_iszero: !>[X0: $tType]:((X0 > $o))).
% 20.60/7.22 thf(func_def_519, type, sqr: (num > num)).
% 20.60/7.22 thf(func_def_520, type, none: !>[X0: $tType]:(option @ X0)).
% 20.60/7.22 thf(func_def_521, type, some: !>[X0: $tType]:((X0 > option @ X0))).
% 20.60/7.22 thf(func_def_522, type, case_option: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > option @ X1 > X0))).
% 20.60/7.22 thf(func_def_523, type, map_option: !>[X0: $tType, X1: $tType]:(((X0 > X1) > option @ X0 > option @ X1))).
% 20.60/7.22 thf(func_def_524, type, rec_option: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > option @ X1 > X0))).
% 20.60/7.22 thf(func_def_525, type, size_option: !>[X0: $tType]:(((X0 > nat) > option @ X0 > nat))).
% 20.60/7.22 thf(func_def_526, type, the2: !>[X0: $tType]:((option @ X0 > X0))).
% 20.60/7.22 thf(func_def_527, type, these: !>[X0: $tType]:((set @ option @ X0 > set @ X0))).
% 20.60/7.22 thf(func_def_528, type, order_532582986084564980_cclfp: !>[X0: $tType]:(((X0 > X0) > X0))).
% 20.60/7.22 thf(func_def_529, type, order_inf_continuous: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 20.60/7.22 thf(func_def_530, type, order_sup_continuous: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 20.60/7.22 thf(func_def_531, type, order_Above: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > set @ X0))).
% 20.60/7.22 thf(func_def_532, type, order_AboveS: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > set @ X0))).
% 20.60/7.22 thf(func_def_533, type, order_Under: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > set @ X0))).
% 20.60/7.22 thf(func_def_534, type, order_UnderS: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > set @ X0))).
% 20.60/7.22 thf(func_def_535, type, order_aboveS: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ X0))).
% 20.60/7.22 thf(func_def_536, type, order_679001287576687338der_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 20.60/7.22 thf(func_def_537, type, order_ofilter: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > $o))).
% 20.60/7.22 thf(func_def_538, type, order_7125193373082350890der_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 20.60/7.22 thf(func_def_539, type, order_preorder_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 20.60/7.22 thf(func_def_540, type, order_relation_of: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > set @ product_prod @ X0 @ X0))).
% 20.60/7.22 thf(func_def_541, type, order_under: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ X0))).
% 20.60/7.22 thf(func_def_542, type, order_underS: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ X0))).
% 20.60/7.22 thf(func_def_543, type, order_well_order_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 20.60/7.22 thf(func_def_544, type, bot_bot: !>[X0: $tType]:(X0)).
% 20.60/7.22 thf(func_def_545, type, least: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_546, type, max: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > X0))).
% 20.60/7.22 thf(func_def_547, type, min: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > X0))).
% 20.60/7.22 thf(func_def_548, type, ord_Least: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_549, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 20.60/7.22 thf(func_def_550, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 20.60/7.22 thf(func_def_551, type, ord_max: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.60/7.22 thf(func_def_552, type, ord_min: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.60/7.22 thf(func_def_553, type, order_Greatest: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_554, type, order_antimono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 20.60/7.22 thf(func_def_555, type, order_mono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 20.60/7.22 thf(func_def_556, type, order_strict_mono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 20.60/7.22 thf(func_def_557, type, ordering_top: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > X0 > $o))).
% 20.60/7.22 thf(func_def_558, type, top_top: !>[X0: $tType]:(X0)).
% 20.60/7.22 thf(func_def_559, type, partial_flat_lub: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 20.60/7.22 thf(func_def_560, type, power_power: !>[X0: $tType]:((X0 > nat > X0))).
% 20.60/7.22 thf(func_def_561, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 20.60/7.22 thf(func_def_562, type, product_Sigma: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > set @ product_prod @ X0 @ X1))).
% 20.60/7.22 thf(func_def_563, type, product_apfst: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > product_prod @ X0 @ X2 > product_prod @ X1 @ X2))).
% 20.60/7.22 thf(func_def_564, type, product_apsnd: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > product_prod @ X2 @ X0 > product_prod @ X2 @ X1))).
% 20.60/7.22 thf(func_def_565, type, product_map_prod: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > product_prod @ X0 @ X2 > product_prod @ X1 @ X3))).
% 20.60/7.22 thf(func_def_566, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 20.60/7.22 thf(func_def_567, type, product_rec_set_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2 > $o))).
% 20.60/7.22 thf(func_def_568, type, product_case_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 20.60/7.22 thf(func_def_569, type, product_fst: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 20.60/7.22 thf(func_def_570, type, product_snd: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 20.60/7.22 thf(func_def_571, type, product_swap: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > product_prod @ X1 @ X0))).
% 20.60/7.22 thf(func_def_572, type, product_product: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > set @ product_prod @ X0 @ X1))).
% 20.60/7.22 thf(func_def_573, type, product_scomp: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > product_prod @ X1 @ X2) > (X1 > X2 > X3) > X0 > X3))).
% 20.60/7.22 thf(func_def_574, type, product_Abs_unit: ($o > product_unit)).
% 20.60/7.22 thf(func_def_575, type, product_Rep_unit: (product_unit > $o)).
% 20.60/7.22 thf(func_def_576, type, type2: !>[X0: $tType]:(itself @ X0)).
% 20.60/7.22 thf(func_def_577, type, abs_Rat: (product_prod @ int @ int > rat)).
% 20.60/7.22 thf(func_def_578, type, fract: (int > int > rat)).
% 20.60/7.22 thf(func_def_579, type, frct: (product_prod @ int @ int > rat)).
% 20.60/7.22 thf(func_def_580, type, rep_Rat: (rat > product_prod @ int @ int)).
% 20.60/7.22 thf(func_def_581, type, field_char_0_of_rat: !>[X0: $tType]:((rat > X0))).
% 20.60/7.22 thf(func_def_582, type, normalize: (product_prod @ int @ int > product_prod @ int @ int)).
% 20.60/7.22 thf(func_def_583, type, of_int: (int > rat)).
% 20.60/7.22 thf(func_def_584, type, pcr_rat: (product_prod @ int @ int > rat > $o)).
% 20.60/7.22 thf(func_def_585, type, quotient_of: (rat > product_prod @ int @ int)).
% 20.60/7.22 thf(func_def_586, type, ratrel: (product_prod @ int @ int > product_prod @ int @ int > $o)).
% 20.60/7.22 thf(func_def_587, type, real2: ((nat > rat) > real)).
% 20.60/7.22 thf(func_def_588, type, cauchy: ((nat > rat) > $o)).
% 20.60/7.22 thf(func_def_589, type, pcr_real: ((nat > rat) > real > $o)).
% 20.60/7.22 thf(func_def_590, type, positive: (real > $o)).
% 20.60/7.22 thf(func_def_591, type, realrel: ((nat > rat) > (nat > rat) > $o)).
% 20.60/7.22 thf(func_def_592, type, rep_real: (real > nat > rat)).
% 20.60/7.22 thf(func_def_593, type, vanishes: ((nat > rat) > $o)).
% 20.60/7.22 thf(func_def_594, type, real_Vector_Reals: !>[X0: $tType]:(set @ X0)).
% 20.60/7.22 thf(func_def_595, type, real_V2442710119149674383linear: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > $o))).
% 20.60/7.22 thf(func_def_596, type, real_V3181309239436604168linear: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 20.60/7.22 thf(func_def_597, type, real_V358717886546972837endent: !>[X0: $tType]:((set @ X0 > $o))).
% 20.60/7.22 thf(func_def_598, type, real_Vector_dim: !>[X0: $tType]:((set @ X0 > nat))).
% 20.60/7.22 thf(func_def_599, type, real_V557655796197034286t_dist: !>[X0: $tType]:((X0 > X0 > real))).
% 20.60/7.22 thf(func_def_600, type, real_V7770717601297561774m_norm: !>[X0: $tType]:((X0 > real))).
% 20.60/7.22 thf(func_def_601, type, real_Vector_of_real: !>[X0: $tType]:((real > X0))).
% 20.60/7.22 thf(func_def_602, type, real_V7696804695334737415tation: !>[X0: $tType]:((set @ X0 > X0 > X0 > real))).
% 20.60/7.22 thf(func_def_603, type, real_V8093663219630862766scaleR: !>[X0: $tType]:((real > X0 > X0))).
% 20.60/7.22 thf(func_def_604, type, real_Vector_span: !>[X0: $tType]:((set @ X0 > set @ X0))).
% 20.60/7.22 thf(func_def_605, type, domain: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ X0))).
% 20.60/7.22 thf(func_def_606, type, field2: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0))).
% 20.60/7.22 thf(func_def_607, type, id2: !>[X0: $tType]:(set @ product_prod @ X0 @ X0)).
% 20.60/7.22 thf(func_def_608, type, id_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0))).
% 20.60/7.22 thf(func_def_609, type, image: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ X0 > set @ X1))).
% 20.60/7.22 thf(func_def_610, type, range: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ X1))).
% 20.60/7.22 thf(func_def_611, type, rangep: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X1 > $o))).
% 20.60/7.22 thf(func_def_612, type, antisym: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 20.60/7.22 thf(func_def_613, type, antisymp: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 20.60/7.22 thf(func_def_614, type, converse: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ X1 @ X0))).
% 20.60/7.22 thf(func_def_615, type, conversep: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X1 > X0 > $o))).
% 20.60/7.22 thf(func_def_616, type, inv_image: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X1 > X0) > set @ product_prod @ X1 @ X1))).
% 20.60/7.22 thf(func_def_617, type, irrefl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 20.60/7.22 thf(func_def_618, type, irreflp: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 20.60/7.22 thf(func_def_619, type, refl_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 20.60/7.22 thf(func_def_620, type, relcomp: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ X1 @ X2 > set @ product_prod @ X0 @ X2))).
% 20.60/7.22 thf(func_def_621, type, single_valued: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > $o))).
% 20.60/7.22 thf(func_def_622, type, single_valuedp: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 20.60/7.22 thf(func_def_623, type, total_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 20.60/7.22 thf(func_def_624, type, trans: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 20.60/7.22 thf(func_def_625, type, transp: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 20.60/7.22 thf(func_def_626, type, algebr8660921524188924756oprime: !>[X0: $tType]:((X0 > X0 > $o))).
% 20.60/7.22 thf(func_def_627, type, divide_divide: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.60/7.22 thf(func_def_628, type, dvd_dvd: !>[X0: $tType]:((X0 > X0 > $o))).
% 20.60/7.22 thf(func_def_629, type, modulo_modulo: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.60/7.22 thf(func_def_630, type, zero_neq_one_of_bool: !>[X0: $tType]:(($o > X0))).
% 20.60/7.22 thf(func_def_631, type, suminf: !>[X0: $tType]:(((nat > X0) > X0))).
% 20.60/7.22 thf(func_def_632, type, summable: !>[X0: $tType]:(((nat > X0) > $o))).
% 20.60/7.22 thf(func_def_633, type, sums: !>[X0: $tType]:(((nat > X0) > X0 > $o))).
% 20.60/7.22 thf(func_def_634, type, ball: !>[X0: $tType]:((set @ X0 > (X0 > $o) > $o))).
% 20.60/7.22 thf(func_def_635, type, bex: !>[X0: $tType]:((set @ X0 > (X0 > $o) > $o))).
% 20.60/7.22 thf(func_def_636, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 20.60/7.22 thf(func_def_637, type, pow2: !>[X0: $tType]:((set @ X0 > set @ set @ X0))).
% 20.60/7.22 thf(func_def_638, type, disjnt: !>[X0: $tType]:((set @ X0 > set @ X0 > $o))).
% 20.60/7.22 thf(func_def_639, type, filter3: !>[X0: $tType]:(((X0 > $o) > set @ X0 > set @ X0))).
% 20.60/7.22 thf(func_def_640, type, image2: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1))).
% 20.60/7.22 thf(func_def_641, type, insert2: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 20.60/7.22 thf(func_def_642, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 20.60/7.22 thf(func_def_643, type, is_singleton: !>[X0: $tType]:((set @ X0 > $o))).
% 20.60/7.22 thf(func_def_644, type, pairwise: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 20.60/7.22 thf(func_def_645, type, remove: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 20.60/7.22 thf(func_def_646, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 20.60/7.22 thf(func_def_647, type, vimage: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X1 > set @ X0))).
% 20.60/7.22 thf(func_def_648, type, set_fo6178422350223883121st_nat: !>[X0: $tType]:(((nat > X0 > X0) > nat > nat > X0 > X0))).
% 20.60/7.22 thf(func_def_649, 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))).
% 20.60/7.22 thf(func_def_650, type, set_ord_atLeast: !>[X0: $tType]:((X0 > set @ X0))).
% 20.60/7.22 thf(func_def_651, type, set_or1337092689740270186AtMost: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 20.60/7.22 thf(func_def_652, type, set_or7035219750837199246ssThan: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 20.60/7.22 thf(func_def_653, type, set_ord_atMost: !>[X0: $tType]:((X0 > set @ X0))).
% 20.60/7.22 thf(func_def_654, type, set_ord_greaterThan: !>[X0: $tType]:((X0 > set @ X0))).
% 20.60/7.22 thf(func_def_655, type, set_or3652927894154168847AtMost: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 20.60/7.22 thf(func_def_656, type, set_or5935395276787703475ssThan: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 20.60/7.22 thf(func_def_657, type, set_ord_lessThan: !>[X0: $tType]:((X0 > set @ X0))).
% 20.60/7.22 thf(func_def_658, type, abort: !>[X0: $tType]:((literal > (product_unit > X0) > X0))).
% 20.60/7.22 thf(func_def_659, type, literal2: ($o > $o > $o > $o > $o > $o > $o > literal > literal)).
% 20.60/7.22 thf(func_def_660, type, ascii_of: (char > char)).
% 20.60/7.22 thf(func_def_661, type, char2: ($o > $o > $o > $o > $o > $o > $o > $o > char)).
% 20.60/7.22 thf(func_def_662, type, comm_s6883823935334413003f_char: !>[X0: $tType]:((char > X0))).
% 20.60/7.22 thf(func_def_663, type, integer_of_char: (char > code_integer)).
% 20.60/7.22 thf(func_def_664, type, unique5772411509450598832har_of: !>[X0: $tType]:((X0 > char))).
% 20.60/7.22 thf(func_def_665, type, sum_Plus: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > set @ sum_sum @ X0 @ X1))).
% 20.60/7.22 thf(func_def_666, type, topolo3448309680560233919inuous: !>[X0: $tType, X1: $tType]:((filter @ X0 > (X0 > X1) > $o))).
% 20.60/7.22 thf(func_def_667, type, topological_monoseq: !>[X0: $tType]:(((nat > X0) > $o))).
% 20.60/7.22 thf(func_def_668, type, topolo1002775350975398744n_open: !>[X0: $tType]:((set @ X0 > $o))).
% 20.60/7.22 thf(func_def_669, type, topolo174197925503356063within: !>[X0: $tType]:((X0 > set @ X0 > filter @ X0))).
% 20.60/7.22 thf(func_def_670, type, topolo7761053866217962861closed: !>[X0: $tType]:((set @ X0 > $o))).
% 20.60/7.22 thf(func_def_671, type, topolo2193935891317330818ompact: !>[X0: $tType]:((set @ X0 > $o))).
% 20.60/7.22 thf(func_def_672, type, topolo1966860045006549960nected: !>[X0: $tType]:((set @ X0 > $o))).
% 20.60/7.22 thf(func_def_673, type, topolo6863149650580417670ergent: !>[X0: $tType]:(((nat > X0) > $o))).
% 20.60/7.22 thf(func_def_674, type, topolo7230453075368039082e_nhds: !>[X0: $tType]:((X0 > filter @ X0))).
% 20.60/7.22 thf(func_def_675, type, topolo3814608138187158403Cauchy: !>[X0: $tType]:(((nat > X0) > $o))).
% 20.60/7.22 thf(func_def_676, type, topolo6688025880775521714ounded: !>[X0: $tType]:((set @ X0 > $o))).
% 20.60/7.22 thf(func_def_677, type, topolo7806501430040627800ormity: !>[X0: $tType]:(filter @ product_prod @ X0 @ X0)).
% 20.60/7.22 thf(func_def_678, type, topolo6026614971017936543ous_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > $o))).
% 20.60/7.22 thf(func_def_679, type, arccos: (real > real)).
% 20.60/7.22 thf(func_def_680, type, arcosh: !>[X0: $tType]:((X0 > X0))).
% 20.60/7.22 thf(func_def_681, type, arcsin: (real > real)).
% 20.60/7.22 thf(func_def_682, type, arctan: (real > real)).
% 20.60/7.22 thf(func_def_683, type, arsinh: !>[X0: $tType]:((X0 > X0))).
% 20.60/7.22 thf(func_def_684, type, artanh: !>[X0: $tType]:((X0 > X0))).
% 20.60/7.22 thf(func_def_685, type, cos: !>[X0: $tType]:((X0 > X0))).
% 20.60/7.22 thf(func_def_686, type, cos_coeff: (nat > real)).
% 20.60/7.22 thf(func_def_687, type, cosh: !>[X0: $tType]:((X0 > X0))).
% 20.60/7.22 thf(func_def_688, type, cot: !>[X0: $tType]:((X0 > X0))).
% 20.60/7.22 thf(func_def_689, type, diffs: !>[X0: $tType]:(((nat > X0) > nat > X0))).
% 20.60/7.22 thf(func_def_690, type, exp: !>[X0: $tType]:((X0 > X0))).
% 20.60/7.22 thf(func_def_691, type, ln_ln: !>[X0: $tType]:((X0 > X0))).
% 20.60/7.22 thf(func_def_692, type, log: (real > real > real)).
% 20.60/7.22 thf(func_def_693, type, pi: real).
% 20.60/7.22 thf(func_def_694, type, powr: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.60/7.22 thf(func_def_695, type, powr_real: (real > real > real)).
% 20.60/7.22 thf(func_def_696, type, sin: !>[X0: $tType]:((X0 > X0))).
% 20.60/7.22 thf(func_def_697, type, sin_coeff: (nat > real)).
% 20.60/7.22 thf(func_def_698, type, sinh: !>[X0: $tType]:((X0 > X0))).
% 20.60/7.22 thf(func_def_699, type, tan: !>[X0: $tType]:((X0 > X0))).
% 20.60/7.22 thf(func_def_700, type, tanh: !>[X0: $tType]:((X0 > X0))).
% 20.60/7.22 thf(func_def_701, type, bi_total: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 20.60/7.22 thf(func_def_702, type, bi_unique: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 20.60/7.22 thf(func_def_703, type, transitive_acyclic: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 20.60/7.22 thf(func_def_704, type, transitive_ntrancl: !>[X0: $tType]:((nat > set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 20.60/7.22 thf(func_def_705, type, transitive_rtrancl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 20.60/7.22 thf(func_def_706, type, transitive_trancl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 20.60/7.22 thf(func_def_707, type, type_definition: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > set @ X1 > $o))).
% 20.60/7.22 thf(func_def_708, type, vEBT_Leaf: ($o > $o > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_709, type, vEBT_Node: (option @ product_prod @ nat @ nat > nat > list @ vEBT_VEBT > vEBT_VEBT > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_710, type, vEBT_rec_VEBT: !>[X0: $tType]:(((option @ product_prod @ nat @ nat > nat > list @ product_prod @ vEBT_VEBT @ X0 > vEBT_VEBT > X0 > X0) > ($o > $o > X0) > vEBT_VEBT > X0))).
% 20.60/7.22 thf(func_def_711, type, vEBT_size_VEBT: (vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_712, type, vEBT_V8194947554948674370ptions: (vEBT_VEBT > nat > $o)).
% 20.60/7.22 thf(func_def_713, type, vEBT_VEBT_elim_dead: (vEBT_VEBT > extended_enat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_714, type, vEBT_V312737461966249ad_rel: (product_prod @ vEBT_VEBT @ extended_enat > product_prod @ vEBT_VEBT @ extended_enat > $o)).
% 20.60/7.22 thf(func_def_715, type, vEBT_VEBT_high: (nat > nat > nat)).
% 20.60/7.22 thf(func_def_716, type, vEBT_V5917875025757280293ildren: (nat > list @ vEBT_VEBT > nat > $o)).
% 20.60/7.22 thf(func_def_717, type, vEBT_VEBT_low: (nat > nat > nat)).
% 20.60/7.22 thf(func_def_718, type, vEBT_VEBT_membermima: (vEBT_VEBT > nat > $o)).
% 20.60/7.22 thf(func_def_719, type, vEBT_V4351362008482014158ma_rel: (product_prod @ vEBT_VEBT @ nat > product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_720, type, vEBT_V5719532721284313246member: (vEBT_VEBT > nat > $o)).
% 20.60/7.22 thf(func_def_721, type, vEBT_V5765760719290551771er_rel: (product_prod @ vEBT_VEBT @ nat > product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_722, type, vEBT_VEBT_valid: (vEBT_VEBT > nat > $o)).
% 20.60/7.22 thf(func_def_723, type, vEBT_VEBT_valid_rel: (product_prod @ vEBT_VEBT @ nat > product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_724, type, vEBT_invar_vebt: (vEBT_VEBT > nat > $o)).
% 20.60/7.22 thf(func_def_725, type, vEBT_set_vebt: (vEBT_VEBT > set @ nat)).
% 20.60/7.22 thf(func_def_726, type, vEBT_vebt_buildup: (nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_727, type, vEBT_v4011308405150292612up_rel: (nat > nat > $o)).
% 20.60/7.22 thf(func_def_728, type, vEBT_vebt_delete: (vEBT_VEBT > nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_729, type, vEBT_vebt_delete_rel: (product_prod @ vEBT_VEBT @ nat > product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_730, type, vEBT_VEBT_insert: (vEBT_VEBT > nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_731, type, vEBT_VEBT_insert_rel: (product_prod @ vEBT_VEBT @ nat > product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_732, type, vEBT_vebt_insert: (vEBT_VEBT > nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_733, type, vEBT_vebt_insert_rel: (product_prod @ vEBT_VEBT @ nat > product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_734, type, vEBT_VEBT_bit_concat: (nat > nat > nat > nat)).
% 20.60/7.22 thf(func_def_735, type, vEBT_VEBT_minNull: (vEBT_VEBT > $o)).
% 20.60/7.22 thf(func_def_736, type, vEBT_V6963167321098673237ll_rel: (vEBT_VEBT > vEBT_VEBT > $o)).
% 20.60/7.22 thf(func_def_737, type, vEBT_VEBT_set_vebt: (vEBT_VEBT > set @ nat)).
% 20.60/7.22 thf(func_def_738, type, vEBT_vebt_member: (vEBT_VEBT > nat > $o)).
% 20.60/7.22 thf(func_def_739, type, vEBT_vebt_member_rel: (product_prod @ vEBT_VEBT @ nat > product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_740, type, vEBT_VEBT_add: (option @ nat > option @ nat > option @ nat)).
% 20.60/7.22 thf(func_def_741, type, vEBT_VEBT_greater: (option @ nat > option @ nat > $o)).
% 20.60/7.22 thf(func_def_742, type, vEBT_VEBT_less: (option @ nat > option @ nat > $o)).
% 20.60/7.22 thf(func_def_743, type, vEBT_VEBT_lesseq: (option @ nat > option @ nat > $o)).
% 20.60/7.22 thf(func_def_744, type, vEBT_VEBT_max_in_set: (set @ nat > nat > $o)).
% 20.60/7.22 thf(func_def_745, type, vEBT_VEBT_min_in_set: (set @ nat > nat > $o)).
% 20.60/7.22 thf(func_def_746, type, vEBT_VEBT_mul: (option @ nat > option @ nat > option @ nat)).
% 20.60/7.22 thf(func_def_747, type, vEBT_V2048590022279873568_shift: !>[X0: $tType]:(((X0 > X0 > X0) > option @ X0 > option @ X0 > option @ X0))).
% 20.60/7.22 thf(func_def_748, type, vEBT_VEBT_power: (option @ nat > option @ nat > option @ nat)).
% 20.60/7.22 thf(func_def_749, type, vEBT_vebt_maxt: (vEBT_VEBT > option @ nat)).
% 20.60/7.22 thf(func_def_750, type, vEBT_vebt_maxt_rel: (vEBT_VEBT > vEBT_VEBT > $o)).
% 20.60/7.22 thf(func_def_751, type, vEBT_vebt_mint: (vEBT_VEBT > option @ nat)).
% 20.60/7.22 thf(func_def_752, type, vEBT_vebt_mint_rel: (vEBT_VEBT > vEBT_VEBT > $o)).
% 20.60/7.22 thf(func_def_753, type, vEBT_is_pred_in_set: (set @ nat > nat > nat > $o)).
% 20.60/7.22 thf(func_def_754, type, vEBT_vebt_pred: (vEBT_VEBT > nat > option @ nat)).
% 20.60/7.22 thf(func_def_755, type, vEBT_vebt_pred_rel: (product_prod @ vEBT_VEBT @ nat > product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_756, type, vEBT_is_succ_in_set: (set @ nat > nat > nat > $o)).
% 20.60/7.22 thf(func_def_757, type, vEBT_vebt_succ: (vEBT_VEBT > nat > option @ nat)).
% 20.60/7.22 thf(func_def_758, type, vEBT_vebt_succ_rel: (product_prod @ vEBT_VEBT @ nat > product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_759, type, accp: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > $o))).
% 20.60/7.22 thf(func_def_760, type, finite_psubset: !>[X0: $tType]:(set @ product_prod @ set @ X0 @ set @ X0)).
% 20.60/7.22 thf(func_def_761, type, less_than: set @ product_prod @ nat @ nat).
% 20.60/7.22 thf(func_def_762, type, lex_prod: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 20.60/7.22 thf(func_def_763, type, max_ext: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ set @ X0 @ set @ X0))).
% 20.60/7.22 thf(func_def_764, type, max_extp: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > set @ X0 > $o))).
% 20.60/7.22 thf(func_def_765, type, measure: !>[X0: $tType]:(((X0 > nat) > set @ product_prod @ X0 @ X0))).
% 20.60/7.22 thf(func_def_766, type, min_ext: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ set @ X0 @ set @ X0))).
% 20.60/7.22 thf(func_def_767, type, mlex_prod: !>[X0: $tType]:(((X0 > nat) > set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 20.60/7.22 thf(func_def_768, type, pred_nat: set @ product_prod @ nat @ nat).
% 20.60/7.22 thf(func_def_769, type, wf: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 20.60/7.22 thf(func_def_770, type, same_fst: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > set @ product_prod @ X1 @ X1) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 20.60/7.22 thf(func_def_771, type, chains: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ set @ X0))).
% 20.60/7.22 thf(func_def_772, type, chains2: !>[X0: $tType]:((set @ set @ X0 > set @ set @ set @ X0))).
% 20.60/7.22 thf(func_def_773, type, init_seg_of: !>[X0: $tType]:(set @ product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X0 @ X0)).
% 20.60/7.22 thf(func_def_774, type, pred_chain: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > set @ X0 > $o))).
% 20.60/7.22 thf(func_def_775, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 20.60/7.22 thf(func_def_776, type, deg: nat).
% 20.60/7.22 thf(func_def_777, type, info: option @ product_prod @ nat @ nat).
% 20.60/7.22 thf(func_def_778, type, m: nat).
% 20.60/7.22 thf(func_def_779, type, ma: nat).
% 20.60/7.22 thf(func_def_780, type, mi: nat).
% 20.60/7.22 thf(func_def_781, type, na: nat).
% 20.60/7.22 thf(func_def_782, type, sa: vEBT_VEBT).
% 20.60/7.22 thf(func_def_783, type, summary: vEBT_VEBT).
% 20.60/7.22 thf(func_def_784, type, summary2: vEBT_VEBT).
% 20.60/7.22 thf(func_def_785, type, treeList: list @ vEBT_VEBT).
% 20.60/7.22 thf(func_def_786, type, treeList2: list @ vEBT_VEBT).
% 20.60/7.22 thf(func_def_788, type, vNOT: ($o > $o)).
% 20.60/7.22 thf(func_def_791, type, db0: !>[X0: $tType]:(X0)).
% 20.60/7.22 thf(func_def_792, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 20.60/7.22 thf(func_def_793, type, vAND: ($o > $o > $o)).
% 20.60/7.22 thf(func_def_794, type, db1: !>[X0: $tType]:(X0)).
% 20.60/7.22 thf(func_def_795, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 20.60/7.22 thf(func_def_796, type, vIMP: ($o > $o > $o)).
% 20.60/7.22 thf(func_def_797, type, db2: !>[X0: $tType]:(X0)).
% 20.60/7.22 thf(func_def_798, type, vOR: ($o > $o > $o)).
% 20.60/7.22 thf(func_def_799, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 20.60/7.22 thf(func_def_800, type, db3: !>[X0: $tType]:(X0)).
% 20.60/7.22 thf(func_def_801, type, db4: !>[X0: $tType]:(X0)).
% 20.60/7.22 thf(func_def_802, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 20.60/7.22 thf(func_def_803, type, db6: !>[X0: $tType]:(X0)).
% 20.60/7.22 thf(func_def_804, type, db5: !>[X0: $tType]:(X0)).
% 20.60/7.22 thf(func_def_805, type, db7: !>[X0: $tType]:(X0)).
% 20.60/7.22 thf(func_def_806, type, db8: !>[X0: $tType]:(X0)).
% 20.60/7.22 thf(func_def_807, type, db9: !>[X0: $tType]:(X0)).
% 20.60/7.22 thf(func_def_808, type, sP0: (vEBT_VEBT > nat > $o > $o)).
% 20.60/7.22 thf(func_def_809, type, sP1: ($o > nat > vEBT_VEBT > $o)).
% 20.60/7.22 thf(func_def_810, type, sP2: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 20.60/7.22 thf(func_def_811, type, sP3: (vEBT_VEBT > nat > $o)).
% 20.60/7.22 thf(func_def_812, type, sP4: (nat > vEBT_VEBT > $o)).
% 20.60/7.22 thf(func_def_813, type, sP5: (nat > vEBT_VEBT > $o)).
% 20.60/7.22 thf(func_def_814, type, sP6: (nat > list @ vEBT_VEBT > nat > nat > nat > $o)).
% 20.60/7.22 thf(func_def_815, type, sP7: (nat > nat > list @ vEBT_VEBT > nat > nat > $o)).
% 20.60/7.22 thf(func_def_816, type, sP8: (vEBT_VEBT > nat > $o)).
% 20.60/7.22 thf(func_def_817, type, sK9: ($o > nat > vEBT_VEBT > $o)).
% 20.60/7.22 thf(func_def_818, type, sK10: ($o > nat > vEBT_VEBT > $o)).
% 20.60/7.22 thf(func_def_819, type, sK11: (vEBT_VEBT > nat > $o > nat)).
% 20.60/7.22 thf(func_def_820, type, sK12: (vEBT_VEBT > nat > $o > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_821, type, sK13: (vEBT_VEBT > nat > $o > nat)).
% 20.60/7.22 thf(func_def_822, type, sK14: (vEBT_VEBT > nat > $o > nat)).
% 20.60/7.22 thf(func_def_823, type, sK15: (vEBT_VEBT > nat > $o > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_824, type, sK16: (vEBT_VEBT > product_prod @ nat @ nat)).
% 20.60/7.22 thf(func_def_825, type, sK17: (vEBT_VEBT > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_826, type, sK18: (vEBT_VEBT > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_827, type, sK19: (vEBT_VEBT > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_828, type, sK20: (vEBT_VEBT > product_prod @ nat @ nat)).
% 20.60/7.22 thf(func_def_829, type, sK21: (vEBT_VEBT > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_830, type, sK22: (vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_831, type, sK23: (vEBT_VEBT > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_832, type, sK24: (vEBT_VEBT > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_833, type, sK25: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > X0))).
% 20.60/7.22 thf(func_def_834, type, sK26: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > X2))).
% 20.60/7.22 thf(func_def_835, type, sK27: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > X3))).
% 20.60/7.22 thf(func_def_836, type, sK28: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > X1))).
% 20.60/7.22 thf(func_def_837, type, sK29: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > nat > X0 > X0))).
% 20.60/7.22 thf(func_def_838, type, sK30: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 20.60/7.22 thf(func_def_839, type, sK31: (nat > (nat > $o) > nat)).
% 20.60/7.22 thf(func_def_840, type, sK32: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_841, type, sK33: !>[X0: $tType]:(((X0 > nat) > nat > (X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_842, type, sK34: ((nat > $o) > nat > nat)).
% 20.60/7.22 thf(func_def_843, type, sK35: ((nat > $o) > nat > nat)).
% 20.60/7.22 thf(func_def_844, type, sK36: (nat > nat > nat)).
% 20.60/7.22 thf(func_def_845, type, sK37: (product_prod @ num @ num > num)).
% 20.60/7.22 thf(func_def_846, type, sK38: (product_prod @ num @ num > num)).
% 20.60/7.22 thf(func_def_847, type, sK39: (product_prod @ num @ num > num)).
% 20.60/7.22 thf(func_def_848, type, sK40: (product_prod @ num @ num > num)).
% 20.60/7.22 thf(func_def_849, type, sK41: (product_prod @ num @ num > num)).
% 20.60/7.22 thf(func_def_850, type, sK42: (product_prod @ num @ num > num)).
% 20.60/7.22 thf(func_def_851, type, sK43: (product_prod @ num @ num > num)).
% 20.60/7.22 thf(func_def_852, type, sK44: (product_prod @ num @ num > num)).
% 20.60/7.22 thf(func_def_853, type, sK45: (product_prod @ num @ num > num)).
% 20.60/7.22 thf(func_def_854, type, sK46: (product_prod @ num @ num > num)).
% 20.60/7.22 thf(func_def_855, type, sK47: (product_prod @ num @ num > num)).
% 20.60/7.22 thf(func_def_856, type, sK48: (product_prod @ num @ num > num)).
% 20.60/7.22 thf(func_def_857, type, sK49: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0 > set @ X0))).
% 20.60/7.22 thf(func_def_858, type, sK50: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0 > set @ X0))).
% 20.60/7.22 thf(func_def_859, type, sK51: !>[X0: $tType]:((set @ X0 > list @ X0))).
% 20.60/7.22 thf(func_def_860, type, sK52: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > set @ X1 > X0))).
% 20.60/7.22 thf(func_def_861, type, sK53: !>[X0: $tType]:(((X0 > $o) > option @ X0 > X0))).
% 20.60/7.22 thf(func_def_862, type, sK54: (nat > nat > nat)).
% 20.60/7.22 thf(func_def_863, type, sK55: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_864, type, sK56: (nat > vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_865, type, sK57: (nat > vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_866, type, sK58: (nat > vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_867, type, sK59: (nat > vEBT_VEBT > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_868, type, sK60: (nat > vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_869, type, sK61: (nat > vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_870, type, sK62: (nat > vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_871, type, sK63: (nat > vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_872, type, sK64: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_873, type, sK65: (nat > vEBT_VEBT > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_874, type, sK66: (nat > vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_875, type, sK67: (nat > nat > vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_876, type, sK68: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_877, type, sK69: (vEBT_VEBT > nat > nat)).
% 20.60/7.22 thf(func_def_878, type, sK70: (vEBT_VEBT > nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_879, type, sK71: (vEBT_VEBT > nat > nat)).
% 20.60/7.22 thf(func_def_880, type, sK72: (vEBT_VEBT > nat > nat)).
% 20.60/7.22 thf(func_def_881, type, sK73: (vEBT_VEBT > nat > nat)).
% 20.60/7.22 thf(func_def_882, type, sK74: (vEBT_VEBT > nat > nat)).
% 20.60/7.22 thf(func_def_883, type, sK75: (nat > vEBT_VEBT > nat > nat)).
% 20.60/7.22 thf(func_def_884, type, sK76: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_885, type, sK77: (vEBT_VEBT > nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_886, type, sK78: (vEBT_VEBT > nat > nat)).
% 20.60/7.22 thf(func_def_887, type, sK79: (vEBT_VEBT > nat > nat)).
% 20.60/7.22 thf(func_def_888, type, sK80: (vEBT_VEBT > nat > nat)).
% 20.60/7.22 thf(func_def_889, type, sK81: (vEBT_VEBT > $o)).
% 20.60/7.22 thf(func_def_890, type, sK82: (vEBT_VEBT > $o)).
% 20.60/7.22 thf(func_def_891, type, sK83: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > nat))).
% 20.60/7.22 thf(func_def_892, type, sK84: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > nat))).
% 20.60/7.22 thf(func_def_893, type, sK85: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > nat > X0 > X0))).
% 20.60/7.22 thf(func_def_894, type, sK86: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > X0))).
% 20.60/7.22 thf(func_def_895, type, sK87: ((nat > $o) > nat)).
% 20.60/7.22 thf(func_def_896, type, sK88: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > X0))).
% 20.60/7.22 thf(func_def_897, type, sK89: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0))).
% 20.60/7.22 thf(func_def_898, type, sK90: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_899, type, sK91: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 20.60/7.22 thf(func_def_900, type, sK92: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 20.60/7.22 thf(func_def_901, type, sK93: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 20.60/7.22 thf(func_def_902, type, sK94: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_903, type, sK95: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_904, type, sK96: (nat > nat)).
% 20.60/7.22 thf(func_def_905, type, sK97: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 20.60/7.22 thf(func_def_906, type, sK98: (product_prod @ nat @ nat > nat)).
% 20.60/7.22 thf(func_def_907, type, sK99: (product_prod @ nat @ nat > nat)).
% 20.60/7.22 thf(func_def_908, type, sK100: (nat > nat)).
% 20.60/7.22 thf(func_def_909, type, sK101: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_910, type, sK102: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 20.60/7.22 thf(func_def_911, type, sK103: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > set @ product_prod @ X1 @ X0 > X0))).
% 20.60/7.22 thf(func_def_912, type, sK104: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > set @ product_prod @ X1 @ X0 > X1))).
% 20.60/7.22 thf(func_def_913, type, sK105: (nat > nat)).
% 20.60/7.22 thf(func_def_914, type, sK106: ((nat > $o) > nat)).
% 20.60/7.22 thf(func_def_915, type, sK107: (int > nat)).
% 20.60/7.22 thf(func_def_916, type, sK108: (int > nat)).
% 20.60/7.22 thf(func_def_917, type, sK109: ((nat > $o) > nat > nat)).
% 20.60/7.22 thf(func_def_918, type, sK110: (nat > nat > nat)).
% 20.60/7.22 thf(func_def_919, type, sK111: (nat > nat > nat)).
% 20.60/7.22 thf(func_def_920, type, sK112: (nat > nat > nat)).
% 20.60/7.22 thf(func_def_921, type, sK113: (nat > nat > nat)).
% 20.60/7.22 thf(func_def_922, type, sK114: (nat > nat)).
% 20.60/7.22 thf(func_def_923, type, sK115: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ X1 > $o) > X0))).
% 20.60/7.22 thf(func_def_924, type, sK116: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ X1 > $o) > X1))).
% 20.60/7.22 thf(func_def_925, type, sK117: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ X1 > $o) > X2))).
% 20.60/7.22 thf(func_def_926, type, sK118: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_927, type, sK119: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_928, type, sK120: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_929, type, sK121: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_930, type, sK122: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_931, type, sK123: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_932, type, sK124: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_933, type, sK125: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_934, type, sK126: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_935, type, sK127: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_936, type, sK128: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_937, type, sK129: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_938, type, sK130: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_939, type, sK131: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_940, type, sK132: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_941, type, sK133: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_942, type, sK134: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_943, type, sK135: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_944, type, sK136: (product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_945, type, sK137: (product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_946, type, sK138: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_947, type, sK139: !>[X0: $tType]:((list @ X0 > set @ X0 > X0))).
% 20.60/7.22 thf(func_def_948, type, sK140: !>[X0: $tType]:((X0 > X0))).
% 20.60/7.22 thf(func_def_949, type, sK141: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_950, type, sK142: !>[X0: $tType]:((X0 > (X0 > nat) > set @ X0 > X0))).
% 20.60/7.22 thf(func_def_951, type, sK143: !>[X0: $tType]:(((X0 > nat) > set @ X0 > X0))).
% 20.60/7.22 thf(func_def_952, type, sK144: !>[X0: $tType]:((set @ X0 > X0))).
% 20.60/7.22 thf(func_def_953, type, sK145: (nat > nat > nat > nat)).
% 20.60/7.22 thf(func_def_954, type, sK146: !>[X0: $tType]:((set @ X0 > X0))).
% 20.60/7.22 thf(func_def_955, type, sK147: (vEBT_VEBT > $o)).
% 20.60/7.22 thf(func_def_956, type, sK148: (vEBT_VEBT > $o)).
% 20.60/7.22 thf(func_def_957, type, sK149: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X4 @ X3 > $o) > X6))).
% 20.60/7.22 thf(func_def_958, type, sK150: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X4 @ X3 > $o) > X3))).
% 20.60/7.22 thf(func_def_959, type, sK151: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X4 @ X3 > $o) > X5))).
% 20.60/7.22 thf(func_def_960, type, sK152: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X4 @ X3 > $o) > X4))).
% 20.60/7.22 thf(func_def_961, type, sK153: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X4 @ X3 > $o) > X1))).
% 20.60/7.22 thf(func_def_962, type, sK154: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X4 @ X3 > $o) > X0))).
% 20.60/7.22 thf(func_def_963, type, sK155: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X4 @ X3 > $o) > X2))).
% 20.60/7.22 thf(func_def_964, type, sK156: !>[X0: $tType, X1: $tType]:((set @ X0 > X1 > (X0 > X1) > X0))).
% 20.60/7.22 thf(func_def_965, type, sK157: !>[X0: $tType]:((set @ X0 > (X0 > $o) > set @ X0 > X0))).
% 20.60/7.22 thf(func_def_966, type, sK158: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 20.60/7.22 thf(func_def_967, type, sK159: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_968, type, sK160: ((nat > $o) > nat)).
% 20.60/7.22 thf(func_def_969, type, sK161: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (set @ X0 > $o) > set @ X1 > set @ X0))).
% 20.60/7.22 thf(func_def_970, type, sK162: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (set @ X0 > $o) > set @ X1 > set @ X1))).
% 20.60/7.22 thf(func_def_971, type, sK163: !>[X0: $tType]:((option @ X0 > X0))).
% 20.60/7.22 thf(func_def_972, type, sK164: (nat > nat)).
% 20.60/7.22 thf(func_def_973, type, sK165: (nat > nat > (nat > $o) > nat)).
% 20.60/7.22 thf(func_def_974, type, sK166: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_975, type, sK167: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_976, type, sK168: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_977, type, sK169: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_978, type, sK170: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_979, type, sK171: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_980, type, sK172: (product_prod @ vEBT_VEBT @ nat > product_prod @ nat @ nat)).
% 20.60/7.22 thf(func_def_981, type, sK173: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_982, type, sK174: (product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_983, type, sK175: (product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_984, type, sK176: (product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_985, type, sK177: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_986, type, sK178: (product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_987, type, sK179: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_988, type, sK180: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_989, type, sK181: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_990, type, sK182: (product_prod @ vEBT_VEBT @ nat > product_prod @ nat @ nat)).
% 20.60/7.22 thf(func_def_991, type, sK183: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_992, type, sK184: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_993, type, sK185: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_994, type, sK186: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_995, type, sK187: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_996, type, sK188: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_997, type, sK189: (nat > nat > nat > nat)).
% 20.60/7.22 thf(func_def_998, type, sK190: (nat > nat > nat > nat)).
% 20.60/7.22 thf(func_def_999, type, sK191: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 20.60/7.22 thf(func_def_1000, type, sK192: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > set @ X1 > set @ X0))).
% 20.60/7.22 thf(func_def_1001, type, sK193: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0))).
% 20.60/7.22 thf(func_def_1002, type, sK194: (vEBT_VEBT > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1003, type, sK195: (vEBT_VEBT > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1004, type, sK196: (vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_1005, type, sK197: (vEBT_VEBT > option @ nat > nat)).
% 20.60/7.22 thf(func_def_1006, type, sK198: (vEBT_VEBT > option @ nat > nat)).
% 20.60/7.22 thf(func_def_1007, type, sK199: (vEBT_VEBT > option @ nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1008, type, sK200: (vEBT_VEBT > option @ nat > nat)).
% 20.60/7.22 thf(func_def_1009, type, sK201: (vEBT_VEBT > option @ nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1010, type, sK202: (vEBT_VEBT > option @ nat > $o)).
% 20.60/7.22 thf(func_def_1011, type, sK203: (vEBT_VEBT > option @ nat > $o)).
% 20.60/7.22 thf(func_def_1012, type, sK204: (int > nat)).
% 20.60/7.22 thf(func_def_1013, type, sK205: !>[X0: $tType]:((set @ X0 > set @ X0))).
% 20.60/7.22 thf(func_def_1014, type, sK206: !>[X0: $tType]:((set @ X0 > X0))).
% 20.60/7.22 thf(func_def_1015, type, sK207: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 20.60/7.22 thf(func_def_1016, type, sK208: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 20.60/7.22 thf(func_def_1017, type, sK209: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_1018, type, sK210: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_1019, type, sK211: !>[X0: $tType]:((set @ X0 > X0))).
% 20.60/7.22 thf(func_def_1020, type, sK212: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0))).
% 20.60/7.22 thf(func_def_1021, type, sK213: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_1022, type, sK214: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_1023, type, sK215: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_1024, type, sK216: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_1025, type, sK217: ((nat > nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1026, type, sK218: ((nat > nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1027, type, sK219: ((nat > nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1028, type, sK220: ((nat > nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1029, type, sK221: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > (X1 > X0) > set @ X1))).
% 20.60/7.22 thf(func_def_1030, type, sK222: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 20.60/7.22 thf(func_def_1031, type, sK223: (vEBT_VEBT > $o)).
% 20.60/7.22 thf(func_def_1032, type, sK224: (vEBT_VEBT > $o)).
% 20.60/7.22 thf(func_def_1033, type, sK225: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 20.60/7.22 thf(func_def_1034, type, sK226: (nat > nat > nat > nat)).
% 20.60/7.22 thf(func_def_1035, type, sK227: (nat > nat > nat > nat)).
% 20.60/7.22 thf(func_def_1036, type, sK228: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 20.60/7.22 thf(func_def_1037, type, sK229: !>[X0: $tType]:((product_prod @ (X0 > X0 > X0) @ product_prod @ option @ X0 @ option @ X0 > X0))).
% 20.60/7.22 thf(func_def_1038, type, sK230: !>[X0: $tType]:((product_prod @ (X0 > X0 > X0) @ product_prod @ option @ X0 @ option @ X0 > X0 > X0 > X0))).
% 20.60/7.22 thf(func_def_1039, type, sK231: !>[X0: $tType]:((product_prod @ (X0 > X0 > X0) @ product_prod @ option @ X0 @ option @ X0 > X0 > X0 > X0))).
% 20.60/7.22 thf(func_def_1040, type, sK232: !>[X0: $tType]:((product_prod @ (X0 > X0 > X0) @ product_prod @ option @ X0 @ option @ X0 > option @ X0))).
% 20.60/7.22 thf(func_def_1041, type, sK233: !>[X0: $tType]:((product_prod @ (X0 > X0 > X0) @ product_prod @ option @ X0 @ option @ X0 > X0))).
% 20.60/7.22 thf(func_def_1042, type, sK234: !>[X0: $tType]:((product_prod @ (X0 > X0 > X0) @ product_prod @ option @ X0 @ option @ X0 > X0))).
% 20.60/7.22 thf(func_def_1043, type, sK235: !>[X0: $tType]:((product_prod @ (X0 > X0 > X0) @ product_prod @ option @ X0 @ option @ X0 > X0 > X0 > X0))).
% 20.60/7.22 thf(func_def_1044, type, sK236: !>[X0: $tType]:((set @ X0 > (X0 > nat) > (X0 > nat) > X0))).
% 20.60/7.22 thf(func_def_1045, type, sK237: (vEBT_VEBT > $o)).
% 20.60/7.22 thf(func_def_1046, type, sK238: (vEBT_VEBT > $o)).
% 20.60/7.22 thf(func_def_1047, type, sK239: (vEBT_VEBT > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1048, type, sK240: (vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_1049, type, sK241: (vEBT_VEBT > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1050, type, sK242: (vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 20.60/7.22 thf(func_def_1051, type, sK243: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 20.60/7.22 thf(func_def_1052, type, sK244: (nat > nat)).
% 20.60/7.22 thf(func_def_1053, type, sK245: option @ product_prod @ nat @ nat).
% 20.60/7.22 thf(func_def_1054, type, sK246: list @ vEBT_VEBT).
% 20.60/7.22 thf(func_def_1055, type, sK247: vEBT_VEBT).
% 20.60/7.22 thf(func_def_1056, type, sK248: ((nat > $o) > nat > nat)).
% 20.60/7.22 thf(func_def_1057, type, sK249: ((nat > $o) > nat > nat)).
% 20.60/7.22 thf(func_def_1058, type, sK250: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X0 > X1))).
% 20.60/7.22 thf(func_def_1059, type, sK251: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_1060, type, sK252: ((nat > $o) > nat > nat > nat)).
% 20.60/7.22 thf(func_def_1061, type, sK253: ((nat > $o) > nat > nat)).
% 20.60/7.22 thf(func_def_1062, type, sK254: ((nat > $o) > nat > nat)).
% 20.60/7.22 thf(func_def_1063, type, sK255: (product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_1064, type, sK256: (product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_1065, type, sK257: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1066, type, sK258: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1067, type, sK259: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1068, type, sK260: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1069, type, sK261: (product_prod @ vEBT_VEBT @ nat > option @ product_prod @ nat @ nat)).
% 20.60/7.22 thf(func_def_1070, type, sK262: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1071, type, sK263: (vEBT_VEBT > product_prod @ nat @ nat)).
% 20.60/7.22 thf(func_def_1072, type, sK264: (vEBT_VEBT > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1073, type, sK265: (vEBT_VEBT > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1074, type, sK266: (vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_1075, type, sK267: (vEBT_VEBT > $o)).
% 20.60/7.22 thf(func_def_1076, type, sK268: (vEBT_VEBT > $o)).
% 20.60/7.22 thf(func_def_1077, type, sK269: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 20.60/7.22 thf(func_def_1078, type, sK270: (vEBT_VEBT > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1079, type, sK271: (vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_1080, type, sK272: (vEBT_VEBT > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1081, type, sK273: (vEBT_VEBT > option @ nat > nat)).
% 20.60/7.22 thf(func_def_1082, type, sK274: (vEBT_VEBT > option @ nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1083, type, sK275: (vEBT_VEBT > option @ nat > nat)).
% 20.60/7.22 thf(func_def_1084, type, sK276: (vEBT_VEBT > option @ nat > nat)).
% 20.60/7.22 thf(func_def_1085, type, sK277: (vEBT_VEBT > option @ nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1086, type, sK278: (vEBT_VEBT > option @ nat > $o)).
% 20.60/7.22 thf(func_def_1087, type, sK279: (vEBT_VEBT > option @ nat > $o)).
% 20.60/7.22 thf(func_def_1088, type, sK280: ((nat > nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1089, type, sK281: ((nat > nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1090, type, sK282: ((nat > nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1091, type, sK283: ((nat > nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1092, type, sK284: ((nat > nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1093, type, sK285: (nat > nat > (nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1094, type, sK286: (nat > nat > (nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1095, type, sK287: !>[X0: $tType]:((set @ X0 > (set @ X0 > $o) > set @ X0))).
% 20.60/7.22 thf(func_def_1096, type, sK288: !>[X0: $tType]:((set @ X0 > (set @ X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_1097, type, sK289: (nat > nat > nat)).
% 20.60/7.22 thf(func_def_1098, type, sK290: (nat > nat > nat)).
% 20.60/7.22 thf(func_def_1099, type, sK291: (nat > nat > nat)).
% 20.60/7.22 thf(func_def_1100, type, sK292: (nat > nat)).
% 20.60/7.22 thf(func_def_1101, type, sK293: (vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_1102, type, sK294: (vEBT_VEBT > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1103, type, sK295: (vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_1104, type, sK296: (vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_1105, type, sK297: (vEBT_VEBT > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1106, type, sK298: (vEBT_VEBT > $o)).
% 20.60/7.22 thf(func_def_1107, type, sK299: (vEBT_VEBT > $o)).
% 20.60/7.22 thf(func_def_1108, type, sK300: (vEBT_VEBT > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1109, type, sK301: (vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_1110, type, sK302: (vEBT_VEBT > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1111, type, sK303: ((nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1112, type, sK304: (nat > list @ vEBT_VEBT > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1113, type, sK305: (vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_1114, type, sK306: (list @ vEBT_VEBT > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1115, type, sK307: (list @ vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_1116, type, sK308: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X1))).
% 20.60/7.22 thf(func_def_1117, type, sK309: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X0))).
% 20.60/7.22 thf(func_def_1118, type, sK310: (nat > (nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1119, type, sK311: (nat > (nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1120, type, sK312: !>[X0: $tType, X1: $tType]:(((option @ X1 > option @ X0 > $o) > option @ X1 > option @ X0 > X0))).
% 20.60/7.22 thf(func_def_1121, type, sK313: !>[X0: $tType, X1: $tType]:(((option @ X1 > option @ X0 > $o) > option @ X1 > option @ X0 > X1))).
% 20.60/7.22 thf(func_def_1122, type, sK314: !>[X0: $tType]:((nat > list @ X0))).
% 20.60/7.22 thf(func_def_1123, type, sK315: (nat > nat > nat)).
% 20.60/7.22 thf(func_def_1124, type, sK316: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_1125, type, sK317: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 20.60/7.22 thf(func_def_1126, type, sK318: ((nat > nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1127, type, sK319: ((nat > nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1128, type, sK320: ((nat > nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1129, type, sK321: ((nat > nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1130, type, sK322: (nat > nat)).
% 20.60/7.22 thf(func_def_1131, type, sK323: (nat > nat)).
% 20.60/7.22 thf(func_def_1132, type, sK324: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 20.60/7.22 thf(func_def_1133, type, sK325: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_1134, type, sK326: (nat > (nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1135, type, sK327: (nat > (nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1136, type, sK328: ((nat > nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1137, type, sK329: ((nat > nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1138, type, sK330: ((nat > nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1139, type, sK331: ((nat > nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1140, type, sK332: ((nat > nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1141, type, sK333: (nat > nat > nat)).
% 20.60/7.22 thf(func_def_1142, type, sK334: (vEBT_VEBT > $o)).
% 20.60/7.22 thf(func_def_1143, type, sK335: (vEBT_VEBT > $o)).
% 20.60/7.22 thf(func_def_1144, type, sK336: (nat > (nat > $o) > nat > nat)).
% 20.60/7.22 thf(func_def_1145, type, sK337: (nat > list @ vEBT_VEBT > nat > nat > nat > nat)).
% 20.60/7.22 thf(func_def_1146, type, sK338: (nat > list @ vEBT_VEBT > nat > nat > nat > nat)).
% 20.60/7.22 thf(func_def_1147, type, sK339: (list @ vEBT_VEBT > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1148, type, sK340: (list @ vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_1149, type, sK341: (list @ vEBT_VEBT > nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1150, type, sK342: (list @ vEBT_VEBT > nat > vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_1151, type, sK343: (list @ vEBT_VEBT > nat > vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_1152, type, sK344: (nat > nat > nat)).
% 20.60/7.22 thf(func_def_1153, type, sK345: !>[X0: $tType]:((nat > (nat > X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_1154, type, sK346: !>[X0: $tType]:((list @ X0 > nat > (nat > X0 > $o) > nat))).
% 20.60/7.22 thf(func_def_1155, type, sK347: !>[X0: $tType]:((nat > (nat > X0 > $o) > list @ X0))).
% 20.60/7.22 thf(func_def_1156, type, sK348: !>[X0: $tType]:((nat > (nat > X0 > $o) > nat))).
% 20.60/7.22 thf(func_def_1157, type, sK349: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 20.60/7.22 thf(func_def_1158, type, sK350: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 20.60/7.22 thf(func_def_1159, type, sK351: ((nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1160, type, sK352: !>[X0: $tType]:((set @ X0 > (X0 > nat) > X0))).
% 20.60/7.22 thf(func_def_1161, type, sK353: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X4 > $o) > X0))).
% 20.60/7.22 thf(func_def_1162, type, sK354: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X4 > $o) > X2))).
% 20.60/7.22 thf(func_def_1163, type, sK355: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X4 > $o) > X1))).
% 20.60/7.22 thf(func_def_1164, type, sK356: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X4 > $o) > X4))).
% 20.60/7.22 thf(func_def_1165, type, sK357: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X4 > $o) > X3))).
% 20.60/7.22 thf(func_def_1166, type, sK358: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 20.60/7.22 thf(func_def_1167, type, sK359: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 20.60/7.22 thf(func_def_1168, type, sK360: !>[X0: $tType]:(((nat > X0) > (nat > X0) > nat))).
% 20.60/7.22 thf(func_def_1169, type, sK361: (nat > vEBT_VEBT > $o)).
% 20.60/7.22 thf(func_def_1170, type, sK362: (nat > vEBT_VEBT > $o)).
% 20.60/7.22 thf(func_def_1171, type, sK363: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1172, type, sK364: (nat > vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_1173, type, sK365: (nat > vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_1174, type, sK366: (nat > vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_1175, type, sK367: (nat > vEBT_VEBT > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1176, type, sK368: (nat > vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_1177, type, sK369: !>[X0: $tType]:((X0 > set @ set @ X0 > set @ X0))).
% 20.60/7.22 thf(func_def_1178, type, sK370: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1179, type, sK371: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1180, type, sK372: (product_prod @ vEBT_VEBT @ nat > option @ product_prod @ nat @ nat)).
% 20.60/7.22 thf(func_def_1181, type, sK373: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1182, type, sK374: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1183, type, sK375: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1184, type, sK376: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1185, type, sK377: (product_prod @ vEBT_VEBT @ nat > option @ product_prod @ nat @ nat)).
% 20.60/7.22 thf(func_def_1186, type, sK378: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1187, type, sK379: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1188, type, sK380: (product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_1189, type, sK381: (product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_1190, type, sK382: !>[X0: $tType]:((X0 > X0))).
% 20.60/7.22 thf(func_def_1191, type, sK383: !>[X0: $tType]:((set @ list @ X0 > nat))).
% 20.60/7.22 thf(func_def_1192, type, sK384: ((nat > nat) > nat)).
% 20.60/7.22 thf(func_def_1193, type, sK385: !>[X0: $tType]:((X0 > X0))).
% 20.60/7.22 thf(func_def_1194, type, sK386: (set @ nat > nat)).
% 20.60/7.22 thf(func_def_1195, type, sK387: (nat > set @ nat > nat)).
% 20.60/7.22 thf(func_def_1196, type, sK388: !>[X0: $tType]:((option @ X0 > X0))).
% 20.60/7.22 thf(func_def_1197, type, sK389: (nat > real > real)).
% 20.60/7.22 thf(func_def_1198, type, sK390: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 20.60/7.22 thf(func_def_1199, type, sK391: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > (X0 > X1) > X0))).
% 20.60/7.22 thf(func_def_1200, type, sK392: !>[X0: $tType]:((set @ X0 > X0))).
% 20.60/7.22 thf(func_def_1201, type, sK393: ((nat > $o) > nat > nat)).
% 20.60/7.22 thf(func_def_1202, type, sK394: ((nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1203, type, sK395: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 20.60/7.22 thf(func_def_1204, type, sK396: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 20.60/7.22 thf(func_def_1205, type, sK397: !>[X0: $tType]:(((X0 > $o) > set @ X0 > (X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_1206, type, sK398: ((nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1207, type, sK399: ((nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1208, type, sK400: (nat > real > real)).
% 20.60/7.22 thf(func_def_1209, type, sK401: (nat > nat)).
% 20.60/7.22 thf(func_def_1210, type, sK402: (nat > nat > nat > nat)).
% 20.60/7.22 thf(func_def_1211, type, sK403: (num > num)).
% 20.60/7.22 thf(func_def_1212, type, sK404: (num > num)).
% 20.60/7.22 thf(func_def_1213, type, sK405: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ X2 > X1))).
% 20.60/7.22 thf(func_def_1214, type, sK406: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ X2 > X4))).
% 20.60/7.22 thf(func_def_1215, type, sK407: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ X2 > X0))).
% 20.60/7.22 thf(func_def_1216, type, sK408: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ X2 > X2))).
% 20.60/7.22 thf(func_def_1217, type, sK409: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ X2 > X3))).
% 20.60/7.22 thf(func_def_1218, type, sK410: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_1219, type, sK411: !>[X0: $tType]:(((X0 > $o) > list @ X0 > nat))).
% 20.60/7.22 thf(func_def_1220, type, sK412: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_1221, type, sK413: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 20.60/7.22 thf(func_def_1222, type, sK414: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ X2 > X5))).
% 20.60/7.22 thf(func_def_1223, type, sK415: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ X2 > X4))).
% 20.60/7.22 thf(func_def_1224, type, sK416: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ X2 > X2))).
% 20.60/7.22 thf(func_def_1225, type, sK417: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ X2 > X0))).
% 20.60/7.22 thf(func_def_1226, type, sK418: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ X2 > X1))).
% 20.60/7.22 thf(func_def_1227, type, sK419: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ X2 > X3))).
% 20.60/7.22 thf(func_def_1228, type, sK420: (nat > nat > nat)).
% 20.60/7.22 thf(func_def_1229, type, sK421: (nat > nat > nat)).
% 20.60/7.22 thf(func_def_1230, type, sK422: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 20.60/7.22 thf(func_def_1231, type, sK423: !>[X0: $tType]:((set @ X0 > X0))).
% 20.60/7.22 thf(func_def_1232, type, sK424: ((nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1233, type, sK425: ((nat > $o) > nat > nat)).
% 20.60/7.22 thf(func_def_1234, type, sK426: !>[X0: $tType]:((X0 > set @ X0 > X0 > set @ X0 > set @ X0))).
% 20.60/7.22 thf(func_def_1235, type, sK427: !>[X0: $tType]:((X0 > X0))).
% 20.60/7.22 thf(func_def_1236, type, sK428: (real > nat > real)).
% 20.60/7.22 thf(func_def_1237, type, sK429: !>[X0: $tType]:((list @ X0 > X0 > nat))).
% 20.60/7.22 thf(func_def_1238, type, sK430: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > (X0 > $o) > X1))).
% 20.60/7.22 thf(func_def_1239, type, sK431: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X0 > X1))).
% 20.60/7.22 thf(func_def_1240, type, sK432: ((int > $o) > int)).
% 20.60/7.22 thf(func_def_1241, type, sK433: ((int > $o) > int)).
% 20.60/7.22 thf(func_def_1242, type, sK434: !>[X0: $tType]:(X0)).
% 20.60/7.22 thf(func_def_1243, type, sK435: ((nat > $o) > nat > nat)).
% 20.60/7.22 thf(func_def_1244, type, sK436: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_1245, type, sK437: ((nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1246, type, sK438: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_1247, type, sK439: !>[X0: $tType, X1: $tType]:((set @ X0 > (set @ X1 > $o) > (X0 > X1) > set @ X0))).
% 20.60/7.22 thf(func_def_1248, type, sK440: !>[X0: $tType, X1: $tType]:((set @ X0 > (set @ X1 > $o) > (X0 > X1) > set @ X1))).
% 20.60/7.22 thf(func_def_1249, type, sK441: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 20.60/7.22 thf(func_def_1250, type, sK442: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 20.60/7.22 thf(func_def_1251, type, sK443: !>[X0: $tType]:(((X0 > $o) > set @ X0 > set @ X0 > X0))).
% 20.60/7.22 thf(func_def_1252, type, sK444: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 20.60/7.22 thf(func_def_1253, type, sK445: !>[X0: $tType, X1: $tType]:(((set @ X1 > $o) > (X1 > X0) > set @ X1))).
% 20.60/7.22 thf(func_def_1254, type, sK446: !>[X0: $tType, X1: $tType]:(((set @ X1 > $o) > (X1 > X0) > X1))).
% 20.60/7.22 thf(func_def_1255, type, sK447: (nat > nat > list @ vEBT_VEBT > nat > nat > nat)).
% 20.60/7.22 thf(func_def_1256, type, sK448: (nat > nat > list @ vEBT_VEBT > nat > nat > nat)).
% 20.60/7.22 thf(func_def_1257, type, sK449: (nat > list @ vEBT_VEBT > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1258, type, sK450: (list @ vEBT_VEBT > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1259, type, sK451: (list @ vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_1260, type, sK452: (vEBT_VEBT > nat > list @ vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_1261, type, sK453: (vEBT_VEBT > nat > list @ vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_1262, type, sK454: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1263, type, sK455: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1264, type, sK456: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1265, type, sK457: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1266, type, sK458: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1267, type, sK459: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1268, type, sK460: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1269, type, sK461: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1270, type, sK462: (product_prod @ vEBT_VEBT @ nat > product_prod @ nat @ nat)).
% 20.60/7.22 thf(func_def_1271, type, sK463: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1272, type, sK464: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1273, type, sK465: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1274, type, sK466: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1275, type, sK467: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1276, type, sK468: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1277, type, sK469: (product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_1278, type, sK470: (product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_1279, type, sK471: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1280, type, sK472: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1281, type, sK473: (product_prod @ vEBT_VEBT @ nat > product_prod @ nat @ nat)).
% 20.60/7.22 thf(func_def_1282, type, sK474: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1283, type, sK475: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_1284, type, sK476: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_1285, type, sK477: ((nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1286, type, sK478: (nat > nat > (nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1287, type, sK479: (nat > nat > (nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1288, type, sK480: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_1289, type, sK481: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0))).
% 20.60/7.22 thf(func_def_1290, type, sK482: (list @ vEBT_VEBT > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1291, type, sK483: (list @ vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_1292, type, sK484: (vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_1293, type, sK485: (nat > list @ vEBT_VEBT > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1294, type, sK486: ((nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1295, type, sK487: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ X2 > $o) > X2))).
% 20.60/7.22 thf(func_def_1296, type, sK488: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ X2 > $o) > X1))).
% 20.60/7.22 thf(func_def_1297, type, sK489: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ X2 > $o) > X0))).
% 20.60/7.22 thf(func_def_1298, type, sK490: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ X2 > $o) > X3))).
% 20.60/7.22 thf(func_def_1299, type, sK491: (nat > (nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1300, type, sK492: (nat > (nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1301, type, sK493: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X0 > $o) > X5))).
% 20.60/7.22 thf(func_def_1302, type, sK494: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X0 > $o) > X3))).
% 20.60/7.22 thf(func_def_1303, type, sK495: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X0 > $o) > X4))).
% 20.60/7.22 thf(func_def_1304, type, sK496: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X0 > $o) > X2))).
% 20.60/7.22 thf(func_def_1305, type, sK497: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_1306, type, sK498: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X0 > $o) > X1))).
% 20.60/7.22 thf(func_def_1307, type, sK499: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_1308, type, sK500: !>[X0: $tType]:((list @ X0 > (X0 > $o) > nat))).
% 20.60/7.22 thf(func_def_1309, type, sK501: (nat > nat > nat > nat)).
% 20.60/7.22 thf(func_def_1310, type, sK502: (vEBT_VEBT > nat > option @ product_prod @ nat @ nat)).
% 20.60/7.22 thf(func_def_1311, type, sK503: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1312, type, sK504: (vEBT_VEBT > nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1313, type, sK505: (vEBT_VEBT > nat > nat)).
% 20.60/7.22 thf(func_def_1314, type, sK506: (vEBT_VEBT > nat > nat)).
% 20.60/7.22 thf(func_def_1315, type, sK507: (vEBT_VEBT > nat > nat)).
% 20.60/7.22 thf(func_def_1316, type, sK508: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1317, type, sK509: (vEBT_VEBT > nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1318, type, sK510: (nat > vEBT_VEBT > $o)).
% 20.60/7.22 thf(func_def_1319, type, sK511: (nat > vEBT_VEBT > $o)).
% 20.60/7.22 thf(func_def_1320, type, sK512: (vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_1321, type, sK513: (vEBT_VEBT > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1322, type, sK514: (vEBT_VEBT > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1323, type, sK515: (vEBT_VEBT > product_prod @ nat @ nat)).
% 20.60/7.22 thf(func_def_1324, type, sK516: (vEBT_VEBT > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1325, type, sK517: (vEBT_VEBT > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1326, type, sK518: (vEBT_VEBT > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1327, type, sK519: (vEBT_VEBT > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1328, type, sK520: (vEBT_VEBT > product_prod @ nat @ nat)).
% 20.60/7.22 thf(func_def_1329, type, sK521: (nat > nat > nat)).
% 20.60/7.22 thf(func_def_1330, type, sK522: ((nat > nat) > nat)).
% 20.60/7.22 thf(func_def_1331, type, sK523: ((nat > nat) > nat)).
% 20.60/7.22 thf(func_def_1332, type, sK524: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ option @ X0 @ option @ X0 > option @ X0))).
% 20.60/7.22 thf(func_def_1333, type, sK525: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ option @ X0 @ option @ X0 > X0 > X0 > $o))).
% 20.60/7.22 thf(func_def_1334, type, sK526: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ option @ X0 @ option @ X0 > X0))).
% 20.60/7.22 thf(func_def_1335, type, sK527: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ option @ X0 @ option @ X0 > X0 > X0 > $o))).
% 20.60/7.22 thf(func_def_1336, type, sK528: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ option @ X0 @ option @ X0 > X0 > X0 > $o))).
% 20.60/7.22 thf(func_def_1337, type, sK529: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ option @ X0 @ option @ X0 > X0))).
% 20.60/7.22 thf(func_def_1338, type, sK530: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ option @ X0 @ option @ X0 > X0))).
% 20.60/7.22 thf(func_def_1339, type, sK531: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 20.60/7.22 thf(func_def_1340, type, sK532: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X0 > set @ X1 > set @ X1))).
% 20.60/7.22 thf(func_def_1341, type, sK533: (product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_1342, type, sK534: (product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_1343, type, sK535: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1344, type, sK536: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1345, type, sK537: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1346, type, sK538: (product_prod @ vEBT_VEBT @ nat > option @ product_prod @ nat @ nat)).
% 20.60/7.22 thf(func_def_1347, type, sK539: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1348, type, sK540: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1349, type, sK541: (product_prod @ vEBT_VEBT @ nat > option @ product_prod @ nat @ nat)).
% 20.60/7.22 thf(func_def_1350, type, sK542: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1351, type, sK543: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1352, type, sK544: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1353, type, sK545: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1354, type, sK546: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1355, type, sK547: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1356, type, sK548: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1357, type, sK549: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1358, type, sK550: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1359, type, sK551: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1360, type, sK552: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1361, type, sK553: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1362, type, sK554: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1363, type, sK555: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1364, type, sK556: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1365, type, sK557: (product_prod @ vEBT_VEBT @ nat > product_prod @ nat @ nat)).
% 20.60/7.22 thf(func_def_1366, type, sK558: (product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_1367, type, sK559: (product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_1368, type, sK560: (product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_1369, type, sK561: (product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_1370, type, sK562: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1371, type, sK563: (product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_1372, type, sK564: (product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_1373, type, sK565: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1374, type, sK566: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1375, type, sK567: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1376, type, sK568: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1377, type, sK569: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1378, type, sK570: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1379, type, sK571: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1380, type, sK572: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1381, type, sK573: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1382, type, sK574: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1383, type, sK575: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1384, type, sK576: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1385, type, sK577: (product_prod @ vEBT_VEBT @ nat > product_prod @ nat @ nat)).
% 20.60/7.22 thf(func_def_1386, type, sK578: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1387, type, sK579: (nat > nat > nat)).
% 20.60/7.22 thf(func_def_1388, type, sK580: !>[X0: $tType]:((set @ X0 > X0))).
% 20.60/7.22 thf(func_def_1389, type, sK581: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 20.60/7.22 thf(func_def_1390, type, sK582: ((nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1391, type, sK583: !>[X0: $tType, X1: $tType]:((set @ X1 > (set @ X0 > $o) > (X1 > X0) > set @ X1))).
% 20.60/7.22 thf(func_def_1392, type, sK584: !>[X0: $tType, X1: $tType]:((set @ X1 > (set @ X0 > $o) > (X1 > X0) > set @ X0))).
% 20.60/7.22 thf(func_def_1393, type, sK585: (real > real > nat)).
% 20.60/7.22 thf(func_def_1394, type, sK586: (nat > nat)).
% 20.60/7.22 thf(func_def_1395, type, sK587: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1))).
% 20.60/7.22 thf(func_def_1396, type, sK588: (nat > (nat > $o) > nat > nat)).
% 20.60/7.22 thf(func_def_1397, type, sK589: (list @ vEBT_VEBT > nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1398, type, sK590: (vEBT_VEBT > nat)).
% 20.60/7.22 thf(func_def_1399, type, sK591: (nat > (nat > $o) > nat > nat)).
% 20.60/7.22 thf(func_def_1400, type, sK592: ((int > $o) > nat)).
% 20.60/7.22 thf(func_def_1401, type, sK593: ((int > $o) > nat)).
% 20.60/7.22 thf(func_def_1402, type, sK594: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X5 @ X1 > X0))).
% 20.60/7.22 thf(func_def_1403, type, sK595: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X5 @ X1 > X1))).
% 20.60/7.22 thf(func_def_1404, type, sK596: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X5 @ X1 > X3))).
% 20.60/7.22 thf(func_def_1405, type, sK597: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X5 @ X1 > X2))).
% 20.60/7.22 thf(func_def_1406, type, sK598: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X5 @ X1 > X6))).
% 20.60/7.22 thf(func_def_1407, type, sK599: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X5 @ X1 > X5))).
% 20.60/7.22 thf(func_def_1408, type, sK600: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X5 @ X1 > X4))).
% 20.60/7.22 thf(func_def_1409, type, sK601: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1410, type, sK602: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1411, type, sK603: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1412, type, sK604: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1413, type, sK605: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1414, type, sK606: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1415, type, sK607: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1416, type, sK608: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1417, type, sK609: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1418, type, sK610: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1419, type, sK611: (product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_1420, type, sK612: (product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_1421, type, sK613: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1422, type, sK614: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1423, type, sK615: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1424, type, sK616: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1425, type, sK617: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1426, type, sK618: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1427, type, sK619: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1428, type, sK620: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1429, type, sK621: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 20.60/7.22 thf(func_def_1430, type, sK622: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1431, type, sK623: (product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_1432, type, sK624: (product_prod @ vEBT_VEBT @ nat > nat)).
% 20.60/7.22 thf(func_def_1433, type, sK625: (product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_1434, type, sK626: (product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_1435, type, sK627: (product_prod @ vEBT_VEBT @ nat > $o)).
% 20.60/7.22 thf(func_def_1436, type, sK628: (nat > (nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1437, type, sK629: (nat > (nat > $o) > nat)).
% 20.60/7.22 thf(func_def_1438, type, sK630: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X0 > X1) > set @ X0 > X1))).
% 20.60/7.22 thf(func_def_1439, type, sK631: ((nat > nat) > nat)).
% 20.60/7.22 thf(func_def_1440, type, sK632: ((nat > nat) > nat)).
% 20.60/7.22 thf(func_def_1441, type, sK633: (real > real > nat)).
% 20.60/7.22 thf(func_def_1442, type, sK634: !>[X0: $tType]:(((nat > X0 > $o) > (nat > X0 > X0 > $o) > nat > X0))).
% 20.60/7.22 thf(func_def_1443, type, sK635: !>[X0: $tType]:(((nat > X0 > $o) > (nat > X0 > X0 > $o) > nat))).
% 20.60/7.22 thf(func_def_1444, type, sK636: !>[X0: $tType]:(((nat > X0 > $o) > (nat > X0 > X0 > $o) > X0))).
% 20.60/7.22 thf(func_def_1445, type, sK637: !>[X0: $tType]:((set @ X0 > (set @ X0 > $o) > set @ X0))).
% 20.60/7.23 thf(func_def_1446, type, sK638: (nat > (nat > $o) > nat)).
% 20.60/7.23 thf(func_def_1447, type, sK639: (nat > (nat > $o) > nat)).
% 20.60/7.23 thf(func_def_1448, type, sK640: ((nat > $o) > nat > nat)).
% 20.60/7.23 thf(func_def_1449, type, sK641: ((nat > $o) > nat)).
% 20.60/7.23 thf(func_def_1450, type, sK642: !>[X0: $tType]:((option @ X0 > X0))).
% 20.60/7.23 thf(func_def_1451, type, sK643: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X2 @ X1 > X0))).
% 20.60/7.23 thf(func_def_1452, type, sK644: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X2 @ X1 > X2))).
% 20.60/7.23 thf(func_def_1453, type, sK645: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X2 @ X1 > X1))).
% 20.60/7.23 thf(func_def_1454, type, sK646: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.60/7.23 thf(func_def_1455, type, sK647: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.60/7.23 thf(func_def_1456, type, sK648: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.60/7.23 thf(func_def_1457, type, sK649: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.60/7.23 thf(func_def_1458, type, sK650: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X0 > X1))).
% 20.60/7.23 thf(func_def_1459, type, sK651: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 20.60/7.23 thf(func_def_1460, type, sK652: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.60/7.23 thf(func_def_1461, type, sK653: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.60/7.23 thf(func_def_1462, type, sK654: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.60/7.23 thf(func_def_1463, type, sK655: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.60/7.23 thf(func_def_1464, type, sK656: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.60/7.23 thf(f1,axiom,(
% 20.60/7.23 (summary2 = summary)),
% 20.60/7.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062summary_A_061_Asummary_H_092_060close_062)).
% 20.60/7.23 thf(f3,axiom,(
% 20.60/7.23 (info = ((some @ product_prod @ nat @ nat @ (product_Pair @ nat @ nat @ mi @ ma))))),
% 20.60/7.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_infsplit)).
% 20.60/7.23 thf(f8,axiom,(
% 20.60/7.23 (treeList2 = treeList)),
% 20.60/7.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7__092_060open_062treeList_A_061_AtreeList_H_092_060close_062)).
% 20.60/7.23 thf(f245,axiom,(
% 20.60/7.23 (deg = ((plus_plus @ nat @ na @ m))) & ! [X0 : vEBT_VEBT] : ((member @ vEBT_VEBT @ X0 @ (set2 @ vEBT_VEBT @ treeList)) => (vEBT_invar_vebt @ X0 @ na)) & (((size_size @ list @ vEBT_VEBT @ treeList)) = ((power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ m))) & (vEBT_invar_vebt @ summary @ m) & (sa = ((vEBT_Node @ info @ deg @ treeList @ summary)))),
% 20.60/7.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_244_sprop1)).
% 20.60/7.23 thf(f8967,conjecture,(
% 20.60/7.23 (sa = ((vEBT_Node @ (some @ product_prod @ nat @ nat @ (product_Pair @ nat @ nat @ mi @ ma)) @ deg @ treeList2 @ summary2)))),
% 20.60/7.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 20.60/7.23 thf(f8968,negated_conjecture,(
% 20.60/7.23 ~ (sa = ((vEBT_Node @ (some @ product_prod @ nat @ nat @ (product_Pair @ nat @ nat @ mi @ ma)) @ deg @ treeList2 @ summary2)))),
% 20.60/7.23 inference(negated_conjecture,[status(cth)],[f8967])).
% 20.60/7.23 thf(f17359,plain,(
% 20.60/7.23 (treeList2 = treeList)),
% 20.60/7.23 inference(fool_elimination,[],[f8])).
% 20.60/7.23 thf(f19522,plain,(
% 20.60/7.23 (summary2 = summary)),
% 20.60/7.23 inference(fool_elimination,[],[f1])).
% 20.60/7.23 thf(f20917,plain,(
% 20.60/7.23 (deg = ((plus_plus @ nat @ na @ m))) & ! [X0 : vEBT_VEBT] : ((member @ vEBT_VEBT @ X0 @ (set2 @ vEBT_VEBT @ treeList)) => (vEBT_invar_vebt @ X0 @ na)) & (((size_size @ list @ vEBT_VEBT @ treeList)) = ((power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ m))) & (vEBT_invar_vebt @ summary @ m) & (sa = ((vEBT_Node @ info @ deg @ treeList @ summary)))),
% 20.60/7.23 inference(rectify,[],[f245])).
% 20.60/7.23 thf(f20918,plain,(
% 20.60/7.23 (deg = ((plus_plus @ nat @ na @ m))) & (((vEBT_invar_vebt @ summary @ m)) = $true) & (sa = ((vEBT_Node @ info @ deg @ treeList @ summary))) & (((size_size @ list @ vEBT_VEBT @ treeList)) = ((power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ m))) & ! [X0 : vEBT_VEBT] : ((((member @ vEBT_VEBT @ X0 @ (set2 @ vEBT_VEBT @ treeList))) = $true) => (((vEBT_invar_vebt @ X0 @ na)) = $true))),
% 20.60/7.23 inference(fool_elimination,[],[f20917])).
% 20.60/7.23 thf(f23450,plain,(
% 20.60/7.23 ~ (((vEBT_Node @ (some @ product_prod @ nat @ nat @ (product_Pair @ nat @ nat @ mi @ ma)) @ deg @ treeList2 @ summary2)) = sa)),
% 20.60/7.23 inference(fool_elimination,[],[f8968])).
% 20.60/7.23 thf(f24358,plain,(
% 20.60/7.23 (info = ((some @ product_prod @ nat @ nat @ (product_Pair @ nat @ nat @ mi @ ma))))),
% 20.60/7.23 inference(fool_elimination,[],[f3])).
% 20.60/7.23 thf(f25973,plain,(
% 20.60/7.23 (((vEBT_Node @ (some @ product_prod @ nat @ nat @ (product_Pair @ nat @ nat @ mi @ ma)) @ deg @ treeList2 @ summary2)) != sa)),
% 20.60/7.23 inference(flattening,[],[f23450])).
% 20.60/7.23 thf(f26207,plain,(
% 20.60/7.23 (((vEBT_invar_vebt @ summary @ m)) = $true) & (deg = ((plus_plus @ nat @ na @ m))) & (sa = ((vEBT_Node @ info @ deg @ treeList @ summary))) & (((size_size @ list @ vEBT_VEBT @ treeList)) = ((power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ m))) & ! [X0 : vEBT_VEBT] : ((((member @ vEBT_VEBT @ X0 @ (set2 @ vEBT_VEBT @ treeList))) != $true) | (((vEBT_invar_vebt @ X0 @ na)) = $true))),
% 20.60/7.23 inference(ennf_transformation,[],[f20918])).
% 20.60/7.23 thf(f27923,plain,(
% 20.60/7.23 (info = ((some @ product_prod @ nat @ nat @ (product_Pair @ nat @ nat @ mi @ ma))))),
% 20.60/7.23 inference(cnf_transformation,[],[f24358])).
% 20.60/7.23 thf(f27970,plain,(
% 20.60/7.23 (summary2 = summary)),
% 20.60/7.23 inference(cnf_transformation,[],[f19522])).
% 20.60/7.23 thf(f28161,plain,(
% 20.60/7.23 (((vEBT_Node @ (some @ product_prod @ nat @ nat @ (product_Pair @ nat @ nat @ mi @ ma)) @ deg @ treeList2 @ summary2)) != sa)),
% 20.60/7.23 inference(cnf_transformation,[],[f25973])).
% 20.60/7.23 thf(f29569,plain,(
% 20.60/7.23 (sa = ((vEBT_Node @ info @ deg @ treeList @ summary)))),
% 20.60/7.23 inference(cnf_transformation,[],[f26207])).
% 20.60/7.23 thf(f29676,plain,(
% 20.60/7.23 (treeList2 = treeList)),
% 20.60/7.23 inference(cnf_transformation,[],[f17359])).
% 20.60/7.23 thf(f30274,definition,(
% 20.60/7.23 spl657_15 <=> (summary2 = summary)),
% 20.60/7.23 introduced(definition,[new_symbols(definition,[spl657_15])],[avatar_definition])).
% 20.60/7.23 thf(f30277,plain,(
% 20.60/7.23 spl657_15),
% 20.60/7.23 inference(avatar_split_clause,[],[f27970,f30274])).
% 20.60/7.23 thf(f30353,definition,(
% 20.60/7.23 spl657_31 <=> (sa = ((vEBT_Node @ info @ deg @ treeList @ summary)))),
% 20.60/7.23 introduced(definition,[new_symbols(definition,[spl657_31])],[avatar_definition])).
% 20.60/7.23 thf(f30356,plain,(
% 20.60/7.23 spl657_31),
% 20.60/7.23 inference(avatar_split_clause,[],[f29569,f30353])).
% 20.60/7.23 thf(f30489,definition,(
% 20.60/7.23 spl657_60 <=> (((vEBT_Node @ (some @ product_prod @ nat @ nat @ (product_Pair @ nat @ nat @ mi @ ma)) @ deg @ treeList2 @ summary2)) = sa)),
% 20.60/7.23 introduced(definition,[new_symbols(definition,[spl657_60])],[avatar_definition])).
% 20.60/7.23 thf(f30492,plain,(
% 20.60/7.23 ~spl657_60),
% 20.60/7.23 inference(avatar_split_clause,[],[f28161,f30489])).
% 20.60/7.23 thf(f30563,definition,(
% 20.60/7.23 spl657_75 <=> (treeList2 = treeList)),
% 20.60/7.23 introduced(definition,[new_symbols(definition,[spl657_75])],[avatar_definition])).
% 20.60/7.23 thf(f30566,plain,(
% 20.60/7.23 spl657_75),
% 20.60/7.23 inference(avatar_split_clause,[],[f29676,f30563])).
% 20.60/7.23 thf(f30583,definition,(
% 20.60/7.23 spl657_79 <=> (info = ((some @ product_prod @ nat @ nat @ (product_Pair @ nat @ nat @ mi @ ma))))),
% 20.60/7.23 introduced(definition,[new_symbols(definition,[spl657_79])],[avatar_definition])).
% 20.60/7.23 thf(f30586,plain,(
% 20.60/7.23 spl657_79),
% 20.60/7.23 inference(avatar_split_clause,[],[f27923,f30583])).
% 20.60/7.23 thf(f30616,definition,(
% 20.60/7.23 (info != ((some @ product_prod @ nat @ nat @ (product_Pair @ nat @ nat @ mi @ ma)))) | (treeList2 != treeList) | (summary2 != summary) | (sa != ((vEBT_Node @ info @ deg @ treeList @ summary))) | (((vEBT_Node @ (some @ product_prod @ nat @ nat @ (product_Pair @ nat @ nat @ mi @ ma)) @ deg @ treeList2 @ summary2)) = sa)),
% 20.60/7.23 introduced(theory,[theory_tautology_sat_conflict])).
% 20.60/7.23 cnf(s13, plain, spl657_15, inference(sat_conversion,[],[f30277])).
% 20.60/7.23 cnf(s30, plain, spl657_31, inference(sat_conversion,[],[f30356])).
% 20.60/7.23 cnf(s63, plain, ~spl657_60, inference(sat_conversion,[],[f30492])).
% 20.60/7.23 cnf(s83, plain, spl657_75, inference(sat_conversion,[],[f30566])).
% 20.60/7.23 cnf(s87, plain, spl657_79, inference(sat_conversion,[],[f30586])).
% 20.60/7.23 cnf(s97, plain, ~spl657_15 | ~spl657_31 | spl657_60 | ~spl657_75 | ~spl657_79, inference(sat_conversion,[],[f30616])).
% 20.60/7.23 cnf(s98, plain, ~spl657_15, inference(rat,[],[s97,s87,s83,s63,s30])).
% 20.60/7.23 cnf(s99, plain, $false, inference(rat,[],[s13,s98])).
% 20.60/7.23 thf(f30617,plain,(
% 20.60/7.23 $false),
% 20.60/7.23 inference(avatar_sat_refutation,[],[s99])).
% 20.60/7.23 % SZS output end Proof for theBenchmark
% 20.60/7.23 % (879438)------------------------------
% 20.60/7.23 % (879438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.60/7.23 % (879438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.60/7.23 % (879438)CaDiCaL version: 2.1.3
% 20.60/7.23 % (879438)Termination reason: Refutation
% 20.60/7.23 % (879438)Time elapsed: 1.306 s
% 20.60/7.23 % (879438)Peak memory usage: 52 MB
% 20.60/7.23 % (879438)Instructions burned: 2643 (million)
% 20.60/7.23 % (879299)Success in time 3.217 s
% 20.60/7.23 % Vampire exiting
%------------------------------------------------------------------------------