%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP236^2 : TPTP v9.3.1. Bugfixed v9.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 08:11:27 AM UTC 2026
% Result : Theorem 216.99s 31.70s
% Output : Refutation 218.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP236^2 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.21 % Computer : n002.cluster.edu
% 0.11/0.21 % Model : x86_64 x86_64
% 0.11/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.21 % Memory : 8046.5625MB
% 0.11/0.21 % OS : Linux 6.8.0-71-generic
% 0.11/0.21 % CPULimit : 300
% 0.11/0.21 % WCLimit : 300
% 0.11/0.21 % DateTime : Tue Sep 29 20:29:08 UTC 2026
% 0.11/0.21 % CPUTime :
% 0.11/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.26 Running first-order model finding
% 0.11/0.26 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.64/3.76 % (1806142)Will run a generic schedule for satisfiability detection.
% 19.64/3.76 % (1806151)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=536826273:i=88024:add=on:rawr=on_2993 on theBenchmark for (2993ds/88024Mi)
% 19.64/3.76 % (1806150)% WARNING: option uhcvi not known.
% 19.64/3.76 % (1806150)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3525592922:i=135531:add=off:rawr=on_2993 on theBenchmark for (2993ds/135531Mi)
% 19.64/3.76 % (1806149)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2055326470_2993 on theBenchmark for (2993ds/0Mi)
% 19.64/3.76 % (1806152)dis+10_1_sil=32000:sp=arity:random_seed=3993384069:i=103:fgj=on_2993 on theBenchmark for (2993ds/103Mi)
% 19.64/3.76 % (1806155)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2998026420:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2993 on theBenchmark for (2993ds/159Mi)
% 19.64/3.76 % (1806154)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1233241863:i=131_2993 on theBenchmark for (2993ds/131Mi)
% 19.64/3.76 % (1806153)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=995385968:i=116_2993 on theBenchmark for (2993ds/116Mi)
% 19.64/3.77 % (1806152)Instruction limit reached!
% 19.64/3.77 % (1806152)------------------------------
% 19.64/3.77 % (1806152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.64/3.77 % (1806152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.64/3.77 % (1806152)CaDiCaL version: 2.1.3
% 19.64/3.77 % (1806152)Termination reason: Instruction limit
% 19.64/3.77 % (1806152)Termination phase: Initialization
% 19.64/3.77 % (1806152)Time elapsed: 0.089 s
% 19.64/3.77 % (1806152)Peak memory usage: 27 MB
% 19.64/3.77 % (1806152)Instructions burned: 104 (million)
% 19.64/3.77 % (1806163)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3923287731:i=714:nm=2_2991 on theBenchmark for (2991ds/714Mi)
% 19.64/3.77 % (1806155)Instruction limit reached!
% 19.64/3.77 % (1806155)------------------------------
% 19.64/3.77 % (1806155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.64/3.77 % (1806155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.64/3.77 % (1806155)CaDiCaL version: 2.1.3
% 19.64/3.77 % (1806155)Termination reason: Instruction limit
% 19.64/3.77 % (1806155)Termination phase: Initialization
% 19.64/3.77 % (1806155)Time elapsed: 0.124 s
% 19.64/3.77 % (1806155)Peak memory usage: 27 MB
% 19.64/3.77 % (1806155)Instructions burned: 160 (million)
% 19.64/3.77 % (1806153)Instruction limit reached!
% 19.64/3.77 % (1806153)------------------------------
% 19.64/3.77 % (1806153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.64/3.77 % (1806153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.64/3.77 % (1806153)CaDiCaL version: 2.1.3
% 19.64/3.77 % (1806153)Termination reason: Instruction limit
% 19.64/3.77 % (1806153)Termination phase: Initialization
% 19.64/3.77 % (1806153)Time elapsed: 0.120 s
% 19.64/3.77 % (1806153)Peak memory usage: 27 MB
% 19.64/3.77 % (1806153)Instructions burned: 117 (million)
% 19.64/3.77 % (1806154)Instruction limit reached!
% 19.64/3.77 % (1806154)------------------------------
% 19.64/3.77 % (1806154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.64/3.77 % (1806154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.64/3.77 % (1806154)CaDiCaL version: 2.1.3
% 19.64/3.77 % (1806154)Termination reason: Instruction limit
% 19.64/3.77 % (1806154)Termination phase: Initialization
% 19.64/3.77 % (1806154)Time elapsed: 0.131 s
% 19.64/3.77 % (1806154)Peak memory usage: 27 MB
% 19.64/3.77 % (1806154)Instructions burned: 131 (million)
% 19.64/3.77 % (1806165)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4201621335:i=131:bd=preordered:fsd=on_2991 on theBenchmark for (2991ds/131Mi)
% 19.64/3.77 % (1806166)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3722861457:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2991 on theBenchmark for (2991ds/684Mi)
% 19.64/3.77 % (1806167)ott-21_1_sil=16000:fs=off:random_seed=2702639720:i=180:av=off:fsr=off_2991 on theBenchmark for (2991ds/180Mi)
% 19.64/3.77 % (1806165)Instruction limit reached!
% 19.64/3.77 % (1806165)------------------------------
% 19.64/3.77 % (1806165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.64/3.77 % (1806165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.17/6.62 % (1806165)CaDiCaL version: 2.1.3
% 40.17/6.62 % (1806165)Termination reason: Instruction limit
% 40.17/6.62 % (1806165)Termination phase: Initialization
% 40.17/6.62 % (1806165)Time elapsed: 0.084 s
% 40.17/6.62 % (1806165)Peak memory usage: 27 MB
% 40.17/6.62 % (1806165)Instructions burned: 131 (million)
% 40.17/6.62 % (1806171)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1112749380:i=477:bd=all_2990 on theBenchmark for (2990ds/477Mi)
% 40.17/6.62 % (1806167)Instruction limit reached!
% 40.17/6.62 % (1806167)------------------------------
% 40.17/6.62 % (1806167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.17/6.62 % (1806167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.17/6.62 % (1806167)CaDiCaL version: 2.1.3
% 40.17/6.62 % (1806167)Termination reason: Instruction limit
% 40.17/6.62 % (1806167)Termination phase: Initialization
% 40.17/6.62 % (1806167)Time elapsed: 0.154 s
% 40.17/6.62 % (1806167)Peak memory usage: 28 MB
% 40.17/6.62 % (1806167)Instructions burned: 181 (million)
% 40.17/6.62 % (1806180)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4104142198:fmbsr=1.3:i=865:ins=25_2989 on theBenchmark for (2989ds/865Mi)
% 40.17/6.62 % (1806163)Instruction limit reached!
% 40.17/6.62 % (1806163)------------------------------
% 40.17/6.62 % (1806163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.17/6.62 % (1806163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.17/6.62 % (1806163)CaDiCaL version: 2.1.3
% 40.17/6.62 % (1806163)Termination reason: Instruction limit
% 40.17/6.62 % (1806163)Termination phase: Initialization
% 40.17/6.62 % (1806163)Time elapsed: 0.326 s
% 40.17/6.62 % (1806163)Peak memory usage: 36 MB
% 40.17/6.62 % (1806163)Instructions burned: 716 (million)
% 40.17/6.62 % (1806182)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1691230252:i=1179_2988 on theBenchmark for (2988ds/1179Mi)
% 40.17/6.62 % (1806171)Instruction limit reached!
% 40.17/6.62 % (1806171)------------------------------
% 40.17/6.62 % (1806171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.17/6.62 % (1806171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.17/6.62 % (1806171)CaDiCaL version: 2.1.3
% 40.17/6.62 % (1806171)Termination reason: Instruction limit
% 40.17/6.62 % (1806171)Termination phase: Initialization
% 40.17/6.62 % (1806171)Time elapsed: 0.222 s
% 40.17/6.62 % (1806171)Peak memory usage: 32 MB
% 40.17/6.62 % (1806171)Instructions burned: 477 (million)
% 40.17/6.62 % (1806184)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2837309350:i=889:ins=1_2987 on theBenchmark for (2987ds/889Mi)
% 40.17/6.62 % (1806166)Instruction limit reached!
% 40.17/6.62 % (1806166)------------------------------
% 40.17/6.62 % (1806166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.17/6.62 % (1806166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.17/6.62 % (1806166)CaDiCaL version: 2.1.3
% 40.17/6.62 % (1806166)Termination reason: Instruction limit
% 40.17/6.62 % (1806166)Termination phase: Initialization
% 40.17/6.62 % (1806166)Time elapsed: 0.499 s
% 40.17/6.62 % (1806166)Peak memory usage: 36 MB
% 40.17/6.62 % (1806166)Instructions burned: 684 (million)
% 40.17/6.62 % (1806187)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1894051304:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2985 on theBenchmark for (2985ds/692Mi)
% 40.17/6.62 % (1806150)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 40.17/6.62 % (1806180)Instruction limit reached!
% 40.17/6.62 % (1806180)------------------------------
% 40.17/6.62 % (1806180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.17/6.62 % (1806180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.17/6.62 % (1806180)CaDiCaL version: 2.1.3
% 40.17/6.62 % (1806180)Termination reason: Instruction limit
% 40.17/6.62 % (1806180)Termination phase: Property scanning
% 40.17/6.62 % (1806180)Time elapsed: 0.578 s
% 40.17/6.62 % (1806180)Peak memory usage: 38 MB
% 40.17/6.62 % (1806180)Instructions burned: 867 (million)
% 40.17/6.62 % (1806184)Instruction limit reached!
% 40.17/6.62 % (1806184)------------------------------
% 40.17/6.62 % (1806184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.17/6.62 % (1806184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.17/6.62 % (1806184)CaDiCaL version: 2.1.3
% 40.17/6.62 % (1806184)Termination reason: Instruction limit
% 66.61/10.34 % (1806184)Termination phase: Property scanning
% 66.61/10.34 % (1806184)Time elapsed: 0.465 s
% 66.61/10.34 % (1806184)Peak memory usage: 38 MB
% 66.61/10.34 % (1806184)Instructions burned: 891 (million)
% 66.61/10.34 % (1806189)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3646440023:i=879:kws=inv_precedence:fsr=off_2982 on theBenchmark for (2982ds/879Mi)
% 66.61/10.34 % (1806190)fmb+10_1_sil=64000:random_seed=2317907067:i=22061:nm=2:gsp=on_2982 on theBenchmark for (2982ds/22061Mi)
% 66.61/10.34 % (1806187)Instruction limit reached!
% 66.61/10.34 % (1806187)------------------------------
% 66.61/10.34 % (1806187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.61/10.34 % (1806187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.61/10.34 % (1806187)CaDiCaL version: 2.1.3
% 66.61/10.34 % (1806187)Termination reason: Instruction limit
% 66.61/10.34 % (1806187)Termination phase: Initialization
% 66.61/10.34 % (1806187)Time elapsed: 0.331 s
% 66.61/10.34 % (1806187)Peak memory usage: 36 MB
% 66.61/10.34 % (1806187)Instructions burned: 694 (million)
% 66.61/10.34 % (1806193)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=981729537:i=9515:nm=5_2982 on theBenchmark for (2982ds/9515Mi)
% 66.61/10.34 % (1806182)Instruction limit reached!
% 66.61/10.34 % (1806182)------------------------------
% 66.61/10.34 % (1806182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.61/10.34 % (1806182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.61/10.34 % (1806182)CaDiCaL version: 2.1.3
% 66.61/10.34 % (1806182)Termination reason: Instruction limit
% 66.61/10.34 % (1806182)Termination phase: Property scanning
% 66.61/10.34 % (1806182)Time elapsed: 0.828 s
% 66.61/10.34 % (1806182)Peak memory usage: 38 MB
% 66.61/10.34 % (1806182)Instructions burned: 1180 (million)
% 66.61/10.34 % (1806195)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4242945241:fmbsr=1.7:i=920_2979 on theBenchmark for (2979ds/920Mi)
% 66.61/10.34 % (1806189)Instruction limit reached!
% 66.61/10.34 % (1806189)------------------------------
% 66.61/10.34 % (1806189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.61/10.34 % (1806189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.61/10.34 % (1806189)CaDiCaL version: 2.1.3
% 66.61/10.34 % (1806189)Termination reason: Instruction limit
% 66.61/10.34 % (1806189)Termination phase: Property scanning
% 66.61/10.34 % (1806189)Time elapsed: 0.393 s
% 66.61/10.34 % (1806189)Peak memory usage: 38 MB
% 66.61/10.34 % (1806189)Instructions burned: 881 (million)
% 66.61/10.34 % (1806197)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4245828091:i=5131_2978 on theBenchmark for (2978ds/5131Mi)
% 66.61/10.34 % (1806195)Instruction limit reached!
% 66.61/10.34 % (1806195)------------------------------
% 66.61/10.34 % (1806195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.61/10.34 % (1806195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.61/10.34 % (1806195)CaDiCaL version: 2.1.3
% 66.61/10.34 % (1806195)Termination reason: Instruction limit
% 66.61/10.34 % (1806195)Termination phase: Property scanning
% 66.61/10.34 % (1806195)Time elapsed: 0.457 s
% 66.61/10.34 % (1806195)Peak memory usage: 38 MB
% 66.61/10.34 % (1806195)Instructions burned: 920 (million)
% 66.61/10.34 % (1806199)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=762901277:i=1472:ins=7:fdi=8:gsp=on_2974 on theBenchmark for (2974ds/1472Mi)
% 66.61/10.34 % (1806197)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 66.61/10.34 % (1806150)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 66.61/10.34 % Exception at run slice level
% 66.61/10.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 66.61/10.34 % (1806201)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3684273711:i=6324_2966 on theBenchmark for (2966ds/6324Mi)
% 66.61/10.34 % (1806199)Instruction limit reached!
% 66.61/10.34 % (1806199)------------------------------
% 66.61/10.34 % (1806199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.61/10.34 % (1806199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.61/10.34 % (1806199)CaDiCaL version: 2.1.3
% 66.61/10.34 % (1806199)Termination reason: Instruction limit
% 66.61/10.34 % (1806199)Termination phase: Preprocessing 1
% 66.61/10.34 % (1806199)Time elapsed: 0.937 s
% 66.61/10.34 % (1806199)Peak memory usage: 38 MB
% 147.49/21.74 % (1806199)Instructions burned: 1473 (million)
% 147.49/21.74 % (1806204)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=357566393:fmbsr=2.30978:i=2174_2964 on theBenchmark for (2964ds/2174Mi)
% 147.49/21.74 % (1806190)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 147.49/21.74 % Exception at run slice level
% 147.49/21.74 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 147.49/21.74 % (1806206)ott-2_1_sil=16000:newcnf=on:random_seed=3504313312:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2958 on theBenchmark for (2958ds/869Mi)
% 147.49/21.74 % Exception at run slice level
% 147.49/21.74 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 147.49/21.74 % (1806208)ott+10_1_sil=32000:tgt=ground:random_seed=3407904240:i=5114:av=off_2957 on theBenchmark for (2957ds/5114Mi)
% 147.49/21.74 % (1806197)Instruction limit reached!
% 147.49/21.74 % (1806197)------------------------------
% 147.49/21.74 % (1806197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 147.49/21.74 % (1806197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 147.49/21.74 % (1806197)CaDiCaL version: 2.1.3
% 147.49/21.74 % (1806197)Termination reason: Instruction limit
% 147.49/21.74 % (1806197)Termination phase: Saturation
% 147.49/21.74 % (1806197)Time elapsed: 2.314 s
% 147.49/21.74 % (1806197)Peak memory usage: 61 MB
% 147.49/21.74 % (1806197)Instructions burned: 5133 (million)
% 147.49/21.74 % (1806216)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2185422886:i=54282_2955 on theBenchmark for (2955ds/54282Mi)
% 147.49/21.74 % (1806206)Instruction limit reached!
% 147.49/21.74 % (1806206)------------------------------
% 147.49/21.74 % (1806206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 147.49/21.74 % (1806206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 147.49/21.74 % (1806206)CaDiCaL version: 2.1.3
% 147.49/21.74 % (1806206)Termination reason: Instruction limit
% 147.49/21.74 % (1806206)Termination phase: Property scanning
% 147.49/21.74 % (1806206)Time elapsed: 0.410 s
% 147.49/21.74 % (1806206)Peak memory usage: 38 MB
% 147.49/21.74 % (1806206)Instructions burned: 869 (million)
% 147.49/21.74 % (1806218)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1056879198:i=3512:aac=none_2954 on theBenchmark for (2954ds/3512Mi)
% 147.49/21.74 % (1806204)Instruction limit reached!
% 147.49/21.74 % (1806204)------------------------------
% 147.49/21.74 % (1806204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 147.49/21.74 % (1806204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 147.49/21.74 % (1806204)CaDiCaL version: 2.1.3
% 147.49/21.74 % (1806204)Termination reason: Instruction limit
% 147.49/21.74 % (1806204)Termination phase: Property scanning
% 147.49/21.74 % (1806204)Time elapsed: 1.142 s
% 147.49/21.74 % (1806204)Peak memory usage: 49 MB
% 147.49/21.74 % (1806204)Instructions burned: 2174 (million)
% 147.49/21.74 % (1806230)dis+21_1_sil=32000:sas=cadical:random_seed=331582817:i=3773:amm=off_2953 on theBenchmark for (2953ds/3773Mi)
% 147.49/21.74 % Exception at run slice level
% 147.49/21.74 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 147.49/21.74 % (1806261)ott+11_1_sil=16000:gs=on:random_seed=211482638:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2945 on theBenchmark for (2945ds/2251Mi)
% 147.49/21.74 % (1806218)Instruction limit reached!
% 147.49/21.74 % (1806218)------------------------------
% 147.49/21.74 % (1806218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 147.49/21.74 % (1806218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 147.49/21.74 % (1806218)CaDiCaL version: 2.1.3
% 147.49/21.74 % (1806218)Termination reason: Instruction limit
% 147.49/21.74 % (1806218)Termination phase: Property scanning
% 147.49/21.74 % (1806218)Time elapsed: 1.553 s
% 147.49/21.74 % (1806218)Peak memory usage: 51 MB
% 147.49/21.74 % (1806218)Instructions burned: 3512 (million)
% 147.49/21.74 % (1806263)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2121212682:fmbsr=1.6:i=67534_2938 on theBenchmark for (2938ds/67534Mi)
% 147.49/21.74 % (1806230)Instruction limit reached!
% 147.49/21.74 % (1806230)------------------------------
% 147.49/21.74 % (1806230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 147.49/21.74 % (1806230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 147.49/21.74 % (1806230)CaDiCaL version: 2.1.3
% 187.39/27.62 % (1806230)Termination reason: Instruction limit
% 187.39/27.62 % (1806230)Termination phase: Property scanning
% 187.39/27.62 % (1806230)Time elapsed: 1.661 s
% 187.39/27.62 % (1806230)Peak memory usage: 51 MB
% 187.39/27.62 % (1806230)Instructions burned: 3773 (million)
% 187.39/27.62 % (1806265)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1804310935:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2936 on theBenchmark for (2936ds/4591Mi)
% 187.39/27.62 % Exception at run slice level
% 187.39/27.62 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 187.39/27.62 % (1806267)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1459732370:i=29340_2935 on theBenchmark for (2935ds/29340Mi)
% 187.39/27.62 % (1806261)Instruction limit reached!
% 187.39/27.62 % (1806261)------------------------------
% 187.39/27.62 % (1806261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 187.39/27.62 % (1806261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 187.39/27.62 % (1806261)CaDiCaL version: 2.1.3
% 187.39/27.62 % (1806261)Termination reason: Instruction limit
% 187.39/27.62 % (1806261)Termination phase: Preprocessing 3
% 187.39/27.62 % (1806261)Time elapsed: 1.052 s
% 187.39/27.62 % (1806261)Peak memory usage: 49 MB
% 187.39/27.62 % (1806261)Instructions burned: 2251 (million)
% 187.39/27.62 % (1806208)Instruction limit reached!
% 187.39/27.62 % (1806208)------------------------------
% 187.39/27.62 % (1806208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 187.39/27.62 % (1806208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 187.39/27.62 % (1806208)CaDiCaL version: 2.1.3
% 187.39/27.62 % (1806208)Termination reason: Instruction limit
% 187.39/27.62 % (1806208)Termination phase: Saturation
% 187.39/27.62 % (1806208)Time elapsed: 2.263 s
% 187.39/27.62 % (1806208)Peak memory usage: 61 MB
% 187.39/27.62 % (1806208)Instructions burned: 5116 (million)
% 187.39/27.62 % (1806269)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=1146810110:i=5211_2934 on theBenchmark for (2934ds/5211Mi)
% 187.39/27.62 % (1806270)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=888371072:i=5497:nm=2_2934 on theBenchmark for (2934ds/5497Mi)
% 187.39/27.62 % Exception at run slice level
% 187.39/27.62 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 187.39/27.62 % (1806273)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=617904510:fmbsr=2:i=46332_2918 on theBenchmark for (2918ds/46332Mi)
% 187.39/27.62 % (1806265)Instruction limit reached!
% 187.39/27.62 % (1806265)------------------------------
% 187.39/27.62 % (1806265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 187.39/27.62 % (1806265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 187.39/27.62 % (1806265)CaDiCaL version: 2.1.3
% 187.39/27.62 % (1806265)Termination reason: Instruction limit
% 187.39/27.62 % (1806265)Termination phase: Saturation
% 187.39/27.62 % (1806265)Time elapsed: 2.008 s
% 187.39/27.62 % (1806265)Peak memory usage: 54 MB
% 187.39/27.62 % (1806265)Instructions burned: 4592 (million)
% 187.39/27.62 % (1806275)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=657409548:i=14071_2916 on theBenchmark for (2916ds/14071Mi)
% 187.39/27.62 % Exception at run slice level
% 187.39/27.62 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 187.39/27.62 % (1806277)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=503012625:i=22565:add=on:rawr=on_2915 on theBenchmark for (2915ds/22565Mi)
% 187.39/27.62 % (1806269)Instruction limit reached!
% 187.39/27.62 % (1806269)------------------------------
% 187.39/27.62 % (1806269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 187.39/27.62 % (1806269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 187.39/27.62 % (1806269)CaDiCaL version: 2.1.3
% 187.39/27.62 % (1806269)Termination reason: Instruction limit
% 187.39/27.62 % (1806269)Termination phase: Saturation
% 187.39/27.62 % (1806269)Time elapsed: 2.299 s
% 187.39/27.62 % (1806269)Peak memory usage: 62 MB
% 187.39/27.62 % (1806269)Instructions burned: 5212 (million)
% 187.39/27.62 % (1806279)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=3429552710:i=8173:av=off_2911 on theBenchmark for (2911ds/8173Mi)
% 187.39/27.62 % Exception at run slice level
% 187.39/27.62 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 187.39/27.62 % (1806281)dis+10_16:1_sil=16000:random_seed=1607738471:i=9155:fsr=off_2899 on theBenchmark for (2899ds/9155Mi)
% 193.37/28.25 % Exception at run slice level
% 193.37/28.25 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 193.37/28.25 % (1806283)ott-3_8_sil=64000:random_seed=3016900376:i=20139:bs=on_2896 on theBenchmark for (2896ds/20139Mi)
% 193.37/28.25 % (1806279)Instruction limit reached!
% 193.37/28.25 % (1806279)------------------------------
% 193.37/28.25 % (1806279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 193.37/28.25 % (1806279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 193.37/28.25 % (1806279)CaDiCaL version: 2.1.3
% 193.37/28.25 % (1806279)Termination reason: Instruction limit
% 193.37/28.25 % (1806279)Termination phase: Saturation
% 193.37/28.25 % (1806279)Time elapsed: 3.730 s
% 193.37/28.25 % (1806279)Peak memory usage: 89 MB
% 193.37/28.25 % (1806279)Instructions burned: 8174 (million)
% 193.37/28.25 % (1806285)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=3374245857:fmbsr=2:i=32576_2873 on theBenchmark for (2873ds/32576Mi)
% 193.37/28.25 % (1806281)Instruction limit reached!
% 193.37/28.25 % (1806281)------------------------------
% 193.37/28.25 % (1806281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 193.37/28.25 % (1806281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 193.37/28.25 % (1806281)CaDiCaL version: 2.1.3
% 193.37/28.25 % (1806281)Termination reason: Instruction limit
% 193.37/28.25 % (1806281)Termination phase: Saturation
% 193.37/28.25 % (1806281)Time elapsed: 4.128 s
% 193.37/28.25 % (1806281)Peak memory usage: 81 MB
% 193.37/28.25 % (1806281)Instructions burned: 9157 (million)
% 193.37/28.25 % (1806287)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=2697012183:i=11404_2857 on theBenchmark for (2857ds/11404Mi)
% 193.37/28.25 % Exception at run slice level
% 193.37/28.25 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 193.37/28.25 % (1806289)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=677824615:i=14134_2854 on theBenchmark for (2854ds/14134Mi)
% 193.37/28.25 % (1806289)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 193.37/28.25 % (1806277)Instruction limit reached!
% 193.37/28.25 % (1806277)------------------------------
% 193.37/28.25 % (1806277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 193.37/28.25 % (1806277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 193.37/28.25 % (1806277)CaDiCaL version: 2.1.3
% 193.37/28.25 % (1806277)Termination reason: Instruction limit
% 193.37/28.25 % (1806277)Termination phase: Saturation
% 193.37/28.25 % (1806277)Time elapsed: 11.142 s
% 193.37/28.25 % (1806277)Peak memory usage: 209 MB
% 193.37/28.25 % (1806277)Instructions burned: 22567 (million)
% 193.37/28.25 % (1806293)dis+33_16_sil=32000:sac=on:random_seed=1213202419:i=15851:nm=0_2803 on theBenchmark for (2803ds/15851Mi)
% 193.37/28.25 % (1806287)Instruction limit reached!
% 193.37/28.25 % (1806287)------------------------------
% 193.37/28.25 % (1806287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 193.37/28.25 % (1806287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 193.37/28.25 % (1806287)CaDiCaL version: 2.1.3
% 193.37/28.25 % (1806287)Termination reason: Instruction limit
% 193.37/28.25 % (1806287)Termination phase: Saturation
% 193.37/28.25 % (1806287)Time elapsed: 5.524 s
% 193.37/28.25 % (1806287)Peak memory usage: 108 MB
% 193.37/28.25 % (1806287)Instructions burned: 11405 (million)
% 193.37/28.25 % (1806295)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=1552925377:avsq=on:i=17627:add=on:amm=off_2802 on theBenchmark for (2802ds/17627Mi)
% 193.37/28.25 % (1806283)Instruction limit reached!
% 193.37/28.25 % (1806283)------------------------------
% 193.37/28.25 % (1806283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 193.37/28.25 % (1806283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 193.37/28.25 % (1806283)CaDiCaL version: 2.1.3
% 193.37/28.25 % (1806283)Termination reason: Instruction limit
% 193.37/28.25 % (1806283)Termination phase: Saturation
% 193.37/28.25 % (1806283)Time elapsed: 9.626 s
% 193.37/28.25 % (1806283)Peak memory usage: 114 MB
% 193.37/28.25 % (1806283)Instructions burned: 20139 (million)
% 193.37/28.25 % (1806297)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=3432023606:s2a=on:i=53295_2799 on theBenchmark for (2799ds/53295Mi)
% 193.37/28.25 % (1806289)Instruction limit reached!
% 193.37/28.25 % (1806289)------------------------------
% 201.39/29.33 % (1806289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 201.39/29.33 % (1806289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 201.39/29.33 % (1806289)CaDiCaL version: 2.1.3
% 201.39/29.33 % (1806289)Termination reason: Instruction limit
% 201.39/29.33 % (1806289)Termination phase: Saturation
% 201.39/29.33 % (1806289)Time elapsed: 6.874 s
% 201.39/29.33 % (1806289)Peak memory usage: 114 MB
% 201.39/29.33 % (1806289)Instructions burned: 14134 (million)
% 201.39/29.33 % (1806299)fmb+10_1_sil=32000:sas=cadical:fmbss=16:random_seed=1004682812:i=26857:ins=20_2785 on theBenchmark for (2785ds/26857Mi)
% 201.39/29.33 % (1806267)Instruction limit reached!
% 201.39/29.33 % (1806267)------------------------------
% 201.39/29.33 % (1806267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 201.39/29.33 % (1806267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 201.39/29.33 % (1806267)CaDiCaL version: 2.1.3
% 201.39/29.33 % (1806267)Termination reason: Instruction limit
% 201.39/29.33 % (1806267)Termination phase: Saturation
% 201.39/29.33 % (1806267)Time elapsed: 15.557 s
% 201.39/29.33 % (1806267)Peak memory usage: 745 MB
% 201.39/29.33 % (1806267)Instructions burned: 29341 (million)
% 201.39/29.33 % (1806301)ott+10_1_sil=64000:plsq=on:plsqc=4:bsr=unit_only:gs=on:random_seed=4149808416:i=28120:bs=on:fsr=off_2779 on theBenchmark for (2779ds/28120Mi)
% 201.39/29.33 % Exception at run slice level
% 201.39/29.33 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 201.39/29.33 % (1806303)fmb+10_1_sil=256000:fmbss=7:random_seed=1935195143:fmbsr=1.6:i=182295_2765 on theBenchmark for (2765ds/182295Mi)
% 201.39/29.33 % (1806151)Instruction limit reached!
% 201.39/29.33 % (1806151)------------------------------
% 201.39/29.33 % (1806151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 201.39/29.33 % (1806151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 201.39/29.33 % (1806151)CaDiCaL version: 2.1.3
% 201.39/29.33 % (1806151)Termination reason: Instruction limit
% 201.39/29.33 % (1806151)Termination phase: Saturation
% 201.39/29.33 % (1806151)Time elapsed: 23.328 s
% 201.39/29.33 % (1806151)Peak memory usage: 508 MB
% 201.39/29.33 % (1806151)Instructions burned: 88025 (million)
% 201.39/29.33 % (1806305)fmb+10_1_sil=128000:fmbss=21:newcnf=on:random_seed=839197327:i=44625:gsp=on_2759 on theBenchmark for (2759ds/44625Mi)
% 201.39/29.33 % (1806305)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 201.39/29.33 % (1806305)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 201.39/29.33 % Exception at run slice level
% 201.39/29.33 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 201.39/29.33 % (1806307)fmb+10_1_sil=256000:sas=cadical:fmbss=15:random_seed=2501388860:i=160505_2748 on theBenchmark for (2748ds/160505Mi)
% 201.39/29.33 % Exception at run slice level
% 201.39/29.33 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 201.39/29.33 % (1806309)fmb+10_1_sil=256000:tgt=full:fmbss=10:random_seed=2657699536:fmbsr=1.3:i=225729_2746 on theBenchmark for (2746ds/225729Mi)
% 201.39/29.33 % (1806293)Instruction limit reached!
% 201.39/29.33 % (1806293)------------------------------
% 201.39/29.33 % (1806293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 201.39/29.33 % (1806293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 201.39/29.33 % (1806293)CaDiCaL version: 2.1.3
% 201.39/29.33 % (1806293)Termination reason: Instruction limit
% 201.39/29.33 % (1806293)Termination phase: Property scanning
% 201.39/29.33 % (1806293)Time elapsed: 6.201 s
% 201.39/29.33 % (1806293)Peak memory usage: 66 MB
% 201.39/29.33 % (1806293)Instructions burned: 15853 (million)
% 201.39/29.33 % (1806311)fmb+10_1_sil=256000:tgt=full:sas=cadical:fmbss=10:random_seed=2170721162:fmbsr=2:i=185024:ins=7_2741 on theBenchmark for (2741ds/185024Mi)
% 201.39/29.33 % Exception at run slice level
% 201.39/29.33 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 201.39/29.33 % (1806313)fmb+10_1_sas=cadical:si=on:bce=on:rp=on:random_seed=2184139554:rtra=on_2737 on theBenchmark for (2737ds/0Mi)
% 201.39/29.33 % Exception at run slice level
% 201.39/29.33 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 201.39/29.33 % (1806315)% WARNING: option uhcvi not known.
% 201.39/29.33 % (1806315)dis+11_61:31_drc=ordering:si=on:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=351808733:i=271062:add=off:rtra=on:rawr=on_2726 on theBenchmark for (2726ds/271062Mi)
% 216.99/31.70 % (1806295)Instruction limit reached!
% 216.99/31.70 % (1806295)------------------------------
% 216.99/31.70 % (1806295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 216.99/31.70 % (1806295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 216.99/31.70 % (1806295)CaDiCaL version: 2.1.3
% 216.99/31.70 % (1806295)Termination reason: Instruction limit
% 216.99/31.70 % (1806295)Termination phase: Saturation
% 216.99/31.70 % (1806295)Time elapsed: 7.576 s
% 216.99/31.70 % (1806295)Peak memory usage: 130 MB
% 216.99/31.70 % (1806295)Instructions burned: 17629 (million)
% 216.99/31.70 % (1806317)dis+10_161_sil=256000:plsq=on:si=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1437903791:i=176048:add=on:rtra=on:rawr=on_2726 on theBenchmark for (2726ds/176048Mi)
% 216.99/31.70 % Exception at run slice level
% 216.99/31.70 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 216.99/31.70 % (1806319)dis+10_1_sil=32000:si=on:sp=arity:random_seed=2709242044:i=206:fgj=on:rtra=on_2725 on theBenchmark for (2725ds/206Mi)
% 216.99/31.70 % (1806319)Instruction limit reached!
% 216.99/31.70 % (1806319)------------------------------
% 216.99/31.70 % (1806319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 216.99/31.70 % (1806319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 216.99/31.70 % (1806319)CaDiCaL version: 2.1.3
% 216.99/31.70 % (1806319)Termination reason: Instruction limit
% 216.99/31.70 % (1806319)Termination phase: shuffling
% 216.99/31.70 % (1806319)Time elapsed: 0.063 s
% 216.99/31.70 % (1806319)Peak memory usage: 29 MB
% 216.99/31.70 % (1806319)Instructions burned: 209 (million)
% 216.99/31.70 % (1806321)ott+31_1_sil=16000:si=on:lcm=predicate:bce=on:newcnf=on:random_seed=2996204846:i=232:rtra=on_2724 on theBenchmark for (2724ds/232Mi)
% 216.99/31.70 % (1806321)Instruction limit reached!
% 216.99/31.70 % (1806321)------------------------------
% 216.99/31.70 % (1806321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 216.99/31.70 % (1806321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 216.99/31.70 % (1806321)CaDiCaL version: 2.1.3
% 216.99/31.70 % (1806321)Termination reason: Instruction limit
% 216.99/31.70 % (1806321)Termination phase: shuffling
% 216.99/31.70 % (1806321)Time elapsed: 0.070 s
% 216.99/31.70 % (1806321)Peak memory usage: 29 MB
% 216.99/31.70 % (1806321)Instructions burned: 235 (million)
% 216.99/31.70 % (1806323)ott+1_1_to=lpo:sil=16000:si=on:sp=reverse_arity:erd=off:random_seed=2671395204:i=262:rtra=on_2724 on theBenchmark for (2724ds/262Mi)
% 216.99/31.70 % (1806323)Instruction limit reached!
% 216.99/31.70 % (1806323)------------------------------
% 216.99/31.70 % (1806323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 216.99/31.70 % (1806323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 216.99/31.70 % (1806323)CaDiCaL version: 2.1.3
% 216.99/31.70 % (1806323)Termination reason: Instruction limit
% 216.99/31.70 % (1806323)Termination phase: shuffling
% 216.99/31.70 % (1806323)Time elapsed: 0.078 s
% 216.99/31.70 % (1806323)Peak memory usage: 30 MB
% 216.99/31.70 % (1806323)Instructions burned: 266 (million)
% 216.99/31.70 % (1806325)ott-3_16_to=lpo:sil=16000:si=on:sp=arity:fd=off:rp=on:random_seed=3354131499:i=318:bs=unit_only:nicw=on:fsr=off:rtra=on:amm=off_2723 on theBenchmark for (2723ds/318Mi)
% 216.99/31.70 % (1806325)Instruction limit reached!
% 216.99/31.70 % (1806325)------------------------------
% 216.99/31.70 % (1806325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 216.99/31.70 % (1806325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 216.99/31.70 % (1806325)CaDiCaL version: 2.1.3
% 216.99/31.70 % (1806325)Termination reason: Instruction limit
% 216.99/31.70 % (1806325)Termination phase: shuffling
% 216.99/31.70 % (1806325)Time elapsed: 0.092 s
% 216.99/31.70 % (1806325)Peak memory usage: 31 MB
% 216.99/31.70 % (1806325)Instructions burned: 321 (million)
% 216.99/31.70 % (1806327)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:si=on:random_seed=565348672:i=1428:nm=2:rtra=on_2722 on theBenchmark for (2722ds/1428Mi)
% 216.99/31.70 % Exception at run slice level
% 216.99/31.70 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 216.99/31.70 % (1806329)ott+32_1_sil=16000:bsd=on:si=on:sp=const_max:bce=on:random_seed=2325977770:i=262:bd=preordered:rtra=on:fsd=on_2721 on theBenchmark for (2721ds/262Mi)
% 216.99/31.70 % (1806329)Instruction limit reached!
% 216.99/31.70 % (1806329)------------------------------
% 216.99/31.70 % (1806329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 216.99/31.70 % (1806329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 216.99/31.70 % (1806329)CaDiCaL version: 2.1.3
% 216.99/31.70 % (1806329)Termination reason: Instruction limit
% 216.99/31.70 % (1806329)Termination phase: shuffling
% 216.99/31.70 % (1806329)Time elapsed: 0.140 s
% 216.99/31.70 % (1806329)Peak memory usage: 30 MB
% 216.99/31.70 % (1806329)Instructions burned: 262 (million)
% 216.99/31.70 % (1806331)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:si=on:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1707249824:i=1368:slsql=off:bs=unit_only:nicw=on:rtra=on:rawr=on_2720 on theBenchmark for (2720ds/1368Mi)
% 216.99/31.70 % (1806315)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 216.99/31.70 % (1806327)Instruction limit reached!
% 216.99/31.70 % (1806327)------------------------------
% 216.99/31.70 % (1806327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 216.99/31.70 % (1806327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 216.99/31.70 % (1806327)CaDiCaL version: 2.1.3
% 216.99/31.70 % (1806327)Termination reason: Instruction limit
% 216.99/31.70 % (1806327)Termination phase: Property scanning
% 216.99/31.70 % (1806327)Time elapsed: 0.374 s
% 216.99/31.70 % (1806327)Peak memory usage: 42 MB
% 216.99/31.70 % (1806327)Instructions burned: 1428 (million)
% 216.99/31.70 % (1806333)ott-21_1_sil=16000:si=on:fs=off:random_seed=288842810:i=360:av=off:fsr=off:rtra=on_2718 on theBenchmark for (2718ds/360Mi)
% 216.99/31.70 % (1806333)Instruction limit reached!
% 216.99/31.70 % (1806333)------------------------------
% 216.99/31.70 % (1806333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 216.99/31.70 % (1806333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 216.99/31.70 % (1806333)CaDiCaL version: 2.1.3
% 216.99/31.70 % (1806333)Termination reason: Instruction limit
% 216.99/31.70 % (1806333)Termination phase: shuffling
% 216.99/31.70 % (1806333)Time elapsed: 0.104 s
% 216.99/31.70 % (1806333)Peak memory usage: 32 MB
% 216.99/31.70 % (1806333)Instructions burned: 363 (million)
% 216.99/31.70 % (1806335)dis+10_4_sil=64000:si=on:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2472106040:i=954:bd=all:rtra=on_2717 on theBenchmark for (2717ds/954Mi)
% 216.99/31.70 % (1806335)Instruction limit reached!
% 216.99/31.70 % (1806335)------------------------------
% 216.99/31.70 % (1806335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 216.99/31.70 % (1806335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 216.99/31.70 % (1806335)CaDiCaL version: 2.1.3
% 216.99/31.70 % (1806335)Termination reason: Instruction limit
% 216.99/31.70 % (1806335)Termination phase: Property scanning
% 216.99/31.70 % (1806335)Time elapsed: 0.260 s
% 216.99/31.70 % (1806335)Peak memory usage: 42 MB
% 216.99/31.70 % (1806335)Instructions burned: 956 (million)
% 216.99/31.70 % (1806337)fmb+10_1_sil=64000:si=on:erd=off:updr=off:random_seed=2738156365:fmbsr=1.3:i=1730:ins=25:rtra=on_2714 on theBenchmark for (2714ds/1730Mi)
% 216.99/31.70 % (1806331)Instruction limit reached!
% 216.99/31.70 % (1806331)------------------------------
% 216.99/31.70 % (1806331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 216.99/31.70 % (1806331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 216.99/31.70 % (1806331)CaDiCaL version: 2.1.3
% 216.99/31.70 % (1806331)Termination reason: Instruction limit
% 216.99/31.70 % (1806331)Termination phase: Property scanning
% 216.99/31.70 % (1806331)Time elapsed: 0.667 s
% 216.99/31.70 % (1806331)Peak memory usage: 42 MB
% 216.99/31.70 % (1806331)Instructions burned: 1370 (million)
% 216.99/31.70 % (1806339)ott+10_1_to=lpo:sil=64000:tgt=full:si=on:sp=arity:spb=goal_then_units:random_seed=333910007:i=2358:rtra=on_2713 on theBenchmark for (2713ds/2358Mi)
% 216.99/31.70 % (1806337)Instruction limit reached!
% 216.99/31.70 % (1806337)------------------------------
% 216.99/31.70 % (1806337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 216.99/31.70 % (1806337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 216.99/31.70 % (1806337)CaDiCaL version: 2.1.3
% 216.99/31.70 % (1806337)Termination reason: Instruction limit
% 216.99/31.70 % (1806337)Termination phase: Preprocessing 3
% 216.99/31.70 % (1806337)Time elapsed: 0.469 s
% 216.99/31.70 % (1806337)Peak memory usage: 50 MB
% 216.99/31.70 % (1806337)Instructions burned: 1730 (million)
% 216.99/31.70 % (1806341)fmb+10_1_sil=64000:si=on:erd=off:fmbss=14:random_seed=1632914662:i=1778:ins=1:rtra=on_2709 on theBenchmark for (2709ds/1778Mi)
% 216.99/31.70 % (1806341)Instruction limit reached!
% 216.99/31.70 % (1806341)------------------------------
% 216.99/31.70 % (1806341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 216.99/31.70 % (1806341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 216.99/31.70 % (1806341)CaDiCaL version: 2.1.3
% 216.99/31.70 % (1806341)Termination reason: Instruction limit
% 216.99/31.70 % (1806341)Termination phase: Preprocessing 3
% 216.99/31.70 % (1806341)Time elapsed: 0.489 s
% 216.99/31.70 % (1806341)Peak memory usage: 50 MB
% 216.99/31.70 % (1806341)Instructions burned: 1782 (million)
% 216.99/31.70 % (1806343)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:si=on:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3287349577:avsq=on:s2a=on:i=1384:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rtra=on:rawr=on_2704 on theBenchmark for (2704ds/1384Mi)
% 216.99/31.70 % (1806315)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 216.99/31.70 % (1806339)Instruction limit reached!
% 216.99/31.70 % (1806339)------------------------------
% 216.99/31.70 % (1806339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 216.99/31.70 % (1806339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 216.99/31.70 % (1806339)CaDiCaL version: 2.1.3
% 216.99/31.70 % (1806339)Termination reason: Instruction limit
% 216.99/31.70 % (1806339)Termination phase: Property scanning
% 216.99/31.70 % (1806339)Time elapsed: 1.192 s
% 216.99/31.70 % (1806339)Peak memory usage: 58 MB
% 216.99/31.70 % (1806339)Instructions burned: 2359 (million)
% 216.99/31.70 % (1806345)dis-10_1_anc=none:sil=64000:si=on:spb=goal:newcnf=on:cn=on:random_seed=2396523708:i=1758:kws=inv_precedence:fsr=off:rtra=on_2701 on theBenchmark for (2701ds/1758Mi)
% 216.99/31.70 % (1806343)Instruction limit reached!
% 216.99/31.70 % (1806343)------------------------------
% 216.99/31.70 % (1806343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 216.99/31.70 % (1806343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 216.99/31.70 % (1806343)CaDiCaL version: 2.1.3
% 216.99/31.70 % (1806343)Termination reason: Instruction limit
% 216.99/31.70 % (1806343)Termination phase: Property scanning
% 216.99/31.70 % (1806343)Time elapsed: 0.363 s
% 216.99/31.70 % (1806343)Peak memory usage: 42 MB
% 216.99/31.70 % (1806343)Instructions burned: 1387 (million)
% 216.99/31.70 % (1806347)fmb+10_1_sil=64000:si=on:random_seed=694664647:i=44122:nm=2:rtra=on:gsp=on_2700 on theBenchmark for (2700ds/44122Mi)
% 216.99/31.70 % (1806345)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 216.99/31.70 % (1806345)Instruction limit reached!
% 216.99/31.70 % (1806345)------------------------------
% 216.99/31.70 % (1806345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 216.99/31.70 % (1806345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 216.99/31.70 % (1806345)CaDiCaL version: 2.1.3
% 216.99/31.70 % (1806345)Termination reason: Instruction limit
% 216.99/31.70 % (1806345)Termination phase: Preprocessing 3
% 216.99/31.70 % (1806345)Time elapsed: 0.873 s
% 216.99/31.70 % (1806345)Peak memory usage: 50 MB
% 216.99/31.70 % (1806345)Instructions burned: 1760 (million)
% 216.99/31.70 % (1806349)fmb+10_1_sil=16000:sas=cadical:si=on:fmbss=20:random_seed=2762077527:i=19030:nm=5:rtra=on_2692 on theBenchmark for (2692ds/19030Mi)
% 216.99/31.70 % (1806347)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 216.99/31.70 % Exception at run slice level
% 216.99/31.70 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 216.99/31.70 % (1806351)fmb+10_1_sil=64000:sas=cadical:si=on:fmbss=8:random_seed=4197920817:fmbsr=1.7:i=1840:rtra=on_2688 on theBenchmark for (2688ds/1840Mi)
% 216.99/31.70 % (1806297) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1806142-1806297"...
% 216.99/31.70 % (1806297)...printing done.
% 216.99/31.70 % (1806297)Refutation found. Thanks to Tanya!
% 216.99/31.70 % SZS status Theorem for theBenchmark
% 216.99/31.70 % SZS output start Proof for theBenchmark
% 216.99/31.70 thf(type_def_5, type, vEBT_VEBT: $tType).
% 216.99/31.70 thf(type_def_6, type, code_integer: $tType).
% 216.99/31.70 thf(type_def_7, type, code_term: $tType).
% 216.99/31.70 thf(type_def_8, type, product_unit: $tType).
% 216.99/31.70 thf(type_def_9, type, product_prod: ($tType * $tType) > $tType).
% 216.99/31.70 thf(type_def_10, type, extended_enat: $tType).
% 216.99/31.70 thf(type_def_11, type, complex: $tType).
% 216.99/31.70 thf(type_def_12, type, sum_sum: ($tType * $tType) > $tType).
% 216.99/31.70 thf(type_def_13, type, option: $tType > $tType).
% 216.99/31.70 thf(type_def_14, type, filter: $tType > $tType).
% 216.99/31.70 thf(type_def_15, type, real: $tType).
% 216.99/31.70 thf(type_def_16, type, list: $tType > $tType).
% 216.99/31.70 thf(type_def_17, type, set: $tType > $tType).
% 216.99/31.70 thf(type_def_18, type, rat: $tType).
% 216.99/31.70 thf(type_def_19, type, num: $tType).
% 216.99/31.70 thf(type_def_20, type, nat: $tType).
% 216.99/31.70 thf(type_def_21, type, int: $tType).
% 216.99/31.70 thf(type_def_22, type, itself: $tType > $tType).
% 216.99/31.70 thf(type_def_23, type, sTfun: ($tType * $tType) > $tType).
% 216.99/31.70 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_1, type, size: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_2, type, dvd: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_3, type, one: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_4, type, idom: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_5, type, ring: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_6, type, plus: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_7, type, zero: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_8, type, numeral: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_9, type, power: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_10, type, field: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_11, type, ring_gcd: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_12, type, abs_if: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_13, type, ring_1: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_14, type, uminus: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_15, type, bot: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_16, type, ord: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_17, type, top: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_18, type, semidom: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_19, type, inverse: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_20, type, semiring: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_21, type, ring_char_0: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_22, type, neg_numeral: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_23, type, order: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_24, type, comm_ring: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_25, type, mult_zero: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_26, type, semiring_Gcd: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_27, type, semiring_gcd: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_28, type, group_add: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_29, type, lattice: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_30, type, no_bot: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_31, type, no_top: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_32, type, semiring_0: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_33, type, semiring_1: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_34, type, finite_finite: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_35, type, monoid_add: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_36, type, comm_ring_1: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_37, type, idom_divide: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_38, type, idom_modulo: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_39, type, ln: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_40, type, monoid_mult: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_41, type, linorder: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_42, type, preorder: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_43, type, ring_parity: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_44, type, idom_abs_sgn: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_45, type, ordered_ring: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_46, type, zero_neq_one: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_47, type, finite_lattice: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_48, type, field_char_0: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_49, type, ab_group_add: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_50, type, semiring_char_0: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_51, type, order_bot: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_52, type, order_top: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_53, type, wellorder: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_54, type, comm_semiring: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_55, type, zero_less_one: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_56, type, division_ring: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_57, type, field_abs_sgn: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_58, type, semigroup_add: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_59, type, semiring_numeral: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_60, type, semidom_divide: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_61, type, semidom_modulo: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_62, type, semigroup_mult: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_63, type, dense_order: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_64, type, comm_semiring_0: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_65, type, comm_semiring_1: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_66, type, linordered_idom: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_67, type, linordered_ring: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_68, type, semiring_modulo: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_69, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_70, type, semiring_parity: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_71, type, ordered_ring_abs: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_72, type, ordered_semiring: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_73, type, linordered_field: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_74, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_75, type, comm_monoid_diff: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_76, type, comm_monoid_mult: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_77, type, algebraic_semidom: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_78, type, semiring_1_cancel: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_79, type, ab_semigroup_mult: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_80, type, bounded_lattice: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_81, type, distrib_lattice: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_82, type, semilattice_inf: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_83, type, semilattice_sup: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_84, type, dense_linorder: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_85, type, linordered_semidom: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_86, type, ordered_semiring_0: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_87, type, real_Vector_banach: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_88, type, linordered_semiring: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_89, type, comple9053668089753744459l_ccpo: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_90, type, finite8700451911770168679attice: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_91, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_92, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_93, type, linord6961819062388156250ring_1: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_94, type, ordere2520102378445227354miring: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_95, type, topological_t1_space: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_96, type, topological_t2_space: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_97, type, topological_t3_space: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_98, type, topological_t4_space: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_99, type, bit_semiring_bits: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_100, type, bounded_lattice_bot: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_101, type, topolo1633459387980952147up_add: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_102, type, comm_s4317794764714335236cancel: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_103, type, linord4710134922213307826strict: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_104, type, cancel1802427076303600483id_add: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_105, type, topolo6943815403480290642id_add: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_106, type, real_V7773925162809079976_field: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_107, type, ring_15535105094025558882visors: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_108, type, cancel2418104881723323429up_add: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_109, type, linord5086331880401160121up_add: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_110, type, ordere6911136660526730532id_add: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_111, type, real_V4867850818363320053vector: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_112, type, archim2362893244070406136eiling: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_113, type, semiri6843258321239162965malize: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_114, type, ordere166539214618696060dd_abs: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_115, type, ordere6658533253407199908up_add: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_116, type, topolo1287966508704411220up_add: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_117, type, real_V7819770556892013058_space: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_118, type, semiri3467727345109120633visors: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_119, type, boolea8198339166811842893lgebra: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_120, type, linord8928482502909563296strict: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_121, type, topolo8386298272705272623_space: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_122, type, topolo7287701948861334536_space: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_123, type, topolo4211221413907600880p_mult: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_124, type, real_V8037385150606011577_space: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_125, type, real_V2191834092415804123ebra_1: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_126, type, linord181362715937106298miring: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_127, type, semiri2026040879449505780visors: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_128, type, topolo2564578578187576103pology: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_129, type, bit_ri3973907225187159222ations: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_130, type, comple6319245703460814977attice: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_131, type, linord4140545234300271783up_add: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_132, type, topolo5987344860129210374id_add: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_133, type, unboun7993243217541854897norder: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_134, type, real_V768167426530841204y_dist: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_135, type, linord715952674999750819strict: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_136, type, archim462609752435547400_field: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_137, type, comple5582772986160207858norder: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_138, type, real_V5047593784448816457lgebra: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_139, type, bounde4346867609351753570nf_top: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_140, type, bounde4967611905675639751up_bot: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_141, type, real_V3459762299906320749_field: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_142, type, topolo8865339358273720382pology: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_143, type, topolo1944317154257567458pology: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_144, type, topolo4958980785337419405_space: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_145, type, euclid3725896446679973847miring: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_146, type, canoni5634975068530333245id_add: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_147, type, ordere8940638589300402666id_add: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_148, type, strict7427464778891057005id_add: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_149, type, real_V822414075346904944vector: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_150, type, linord2810124833399127020strict: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_151, type, bit_se359711467146920520ations: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_152, type, ordere2412721322843649153imp_le: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_153, type, ordere580206878836729694up_add: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_154, type, ordere1170586879665033532d_diff: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_155, type, strict9044650504122735259up_add: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_156, type, real_V5355595471888546746vector: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_157, type, real_V4412858255891104859lgebra: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_158, type, semiri6575147826004484403cancel: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_159, type, euclid8851590272496341667cancel: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_160, type, real_V2822296259951069270ebra_1: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_161, type, unique1627219031080169319umeral: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_162, type, comple592849572758109894attice: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_163, type, real_V8999393235501362500lgebra: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_164, type, topolo3112930676232923870pology: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_165, type, euclid4440199948858584721cancel: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_166, type, euclid3128863361964157862miring: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_167, type, topolo8458572112393995274pology: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_168, type, ordere1937475149494474687imp_le: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_169, type, condit5016429287641298734tinuum: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_170, type, euclid5411537665997757685th_nat: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_171, type, counta3822494911875563373attice: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_172, type, semiri1453513574482234551roduct: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_173, type, bit_un5681908812861735899ations: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_174, type, condit1219197933456340205attice: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_175, type, condit6923001295902523014norder: !>[X0: $tType]:($o)).
% 216.99/31.70 thf(func_def_176, type, archimedean_ceiling: !>[X0: $tType]:((X0 > int))).
% 216.99/31.70 thf(func_def_177, type, archim6421214686448440834_floor: !>[X0: $tType]:((X0 > int))).
% 216.99/31.70 thf(func_def_178, type, archimedean_frac: !>[X0: $tType]:((X0 > X0))).
% 216.99/31.70 thf(func_def_179, type, archimedean_round: !>[X0: $tType]:((X0 > int))).
% 216.99/31.70 thf(func_def_180, type, bNF_Ca7293521722713021262ofinal: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 216.99/31.70 thf(func_def_181, type, bNF_Ca8665028551170535155natLeq: set @ product_prod @ nat @ nat).
% 216.99/31.70 thf(func_def_182, type, bNF_Ca8459412986667044542atLess: set @ product_prod @ nat @ nat).
% 216.99/31.70 thf(func_def_183, type, bNF_Ca3754400796208372196lChain: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X1) > $o))).
% 216.99/31.70 thf(func_def_184, type, bNF_Gr: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > set @ product_prod @ X0 @ X1))).
% 216.99/31.70 thf(func_def_185, type, bNF_Greatest_image2: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > X1) > (X0 > X2) > set @ product_prod @ X1 @ X2))).
% 216.99/31.70 thf(func_def_186, type, bNF_Wellorder_Func: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > set @ (X0 > X1)))).
% 216.99/31.70 thf(func_def_187, type, bNF_We4925052301507509544nc_map: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((set @ X0 > (X1 > X2) > (X0 > X3) > (X3 > X1) > X0 > X2))).
% 216.99/31.70 thf(func_def_188, type, bNF_Wellorder_bsqr: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ product_prod @ X0 @ X0 @ product_prod @ X0 @ X0))).
% 216.99/31.70 thf(func_def_189, type, bNF_We1388413361240627857o_max2: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 216.99/31.70 thf(func_def_190, type, basic_BNF_size_prod: !>[X0: $tType, X1: $tType]:(((X0 > nat) > (X1 > nat) > product_prod @ X0 @ X1 > nat))).
% 216.99/31.70 thf(func_def_191, type, binomial: (nat > nat > nat)).
% 216.99/31.70 thf(func_def_192, type, gbinomial: !>[X0: $tType]:((X0 > nat > X0))).
% 216.99/31.70 thf(func_def_193, type, bit_and_int_rel: (product_prod @ int @ int > product_prod @ int @ int > $o)).
% 216.99/31.70 thf(func_def_194, type, bit_and_not_num: (num > num > option @ num)).
% 216.99/31.70 thf(func_def_195, type, bit_concat_bit: (nat > int > int > int)).
% 216.99/31.70 thf(func_def_196, type, bit_ri4277139882892585799ns_not: !>[X0: $tType]:((X0 > X0))).
% 216.99/31.70 thf(func_def_197, type, bit_ri4674362597316999326ke_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 216.99/31.70 thf(func_def_198, type, bit_se5824344872417868541ns_and: !>[X0: $tType]:((X0 > X0 > X0))).
% 216.99/31.70 thf(func_def_199, type, bit_se4197421643247451524op_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 216.99/31.70 thf(func_def_200, type, bit_se8732182000553998342ip_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 216.99/31.70 thf(func_def_201, type, bit_se2239418461657761734s_mask: !>[X0: $tType]:((nat > X0))).
% 216.99/31.70 thf(func_def_202, type, bit_se1065995026697491101ons_or: !>[X0: $tType]:((X0 > X0 > X0))).
% 216.99/31.70 thf(func_def_203, type, bit_se4730199178511100633sh_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 216.99/31.70 thf(func_def_204, type, bit_se5668285175392031749et_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 216.99/31.70 thf(func_def_205, type, bit_se2584673776208193580ke_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 216.99/31.70 thf(func_def_206, type, bit_se2638667681897837118et_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 216.99/31.70 thf(func_def_207, type, bit_se5824344971392196577ns_xor: !>[X0: $tType]:((X0 > X0 > X0))).
% 216.99/31.70 thf(func_def_208, type, bit_se5641148757651400278ts_bit: !>[X0: $tType]:((X0 > nat > $o))).
% 216.99/31.70 thf(func_def_209, type, bit_take_bit_num: (nat > num > option @ num)).
% 216.99/31.70 thf(func_def_210, type, bit_un7362597486090784418nd_num: (num > num > option @ num)).
% 216.99/31.70 thf(func_def_211, type, bit_un2480387367778600638or_num: (num > num > option @ num)).
% 216.99/31.70 thf(func_def_212, type, boolea2506097494486148201lgebra: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > (X0 > X0) > X0 > X0 > $o))).
% 216.99/31.70 thf(func_def_213, type, boolea3799213064322606851m_diff: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > (X0 > X0) > X0 > X0 > (X0 > X0 > X0) > $o))).
% 216.99/31.70 thf(func_def_214, type, code_bit_cut_integer: (code_integer > product_prod @ code_integer @ $o)).
% 216.99/31.70 thf(func_def_215, type, code_divmod_abs: (code_integer > code_integer > product_prod @ code_integer @ code_integer)).
% 216.99/31.70 thf(func_def_216, type, code_divmod_integer: (code_integer > code_integer > product_prod @ code_integer @ code_integer)).
% 216.99/31.70 thf(func_def_217, type, code_int_of_integer: (code_integer > int)).
% 216.99/31.70 thf(func_def_218, type, code_integer_of_int: (int > code_integer)).
% 216.99/31.70 thf(func_def_219, type, code_nat_of_integer: (code_integer > nat)).
% 216.99/31.70 thf(func_def_220, type, complete_Inf_Inf: !>[X0: $tType]:((set @ X0 > X0))).
% 216.99/31.70 thf(func_def_221, type, complete_Sup_Sup: !>[X0: $tType]:((set @ X0 > X0))).
% 216.99/31.70 thf(func_def_222, type, comple1602240252501008431_chain: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 216.99/31.70 thf(func_def_223, type, arg: (complex > real)).
% 216.99/31.70 thf(func_def_224, type, cis: (real > complex)).
% 216.99/31.70 thf(func_def_225, type, complex2: (real > real > complex)).
% 216.99/31.70 thf(func_def_226, type, condit941137186595557371_above: !>[X0: $tType]:((set @ X0 > $o))).
% 216.99/31.70 thf(func_def_227, type, condit1013018076250108175_below: !>[X0: $tType]:((set @ X0 > $o))).
% 216.99/31.70 thf(func_def_228, type, countable_to_nat_on: !>[X0: $tType]:((set @ X0 > X0 > nat))).
% 216.99/31.70 thf(func_def_229, type, differentiable: !>[X0: $tType, X1: $tType]:(((X0 > X1) > filter @ X0 > $o))).
% 216.99/31.70 thf(func_def_230, type, has_derivative: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > filter @ X0 > $o))).
% 216.99/31.70 thf(func_def_231, type, has_field_derivative: !>[X0: $tType]:(((X0 > X0) > X0 > filter @ X0 > $o))).
% 216.99/31.70 thf(func_def_232, type, adjust_div: (product_prod @ int @ int > int)).
% 216.99/31.70 thf(func_def_233, type, divmod_nat: (nat > nat > product_prod @ nat @ nat)).
% 216.99/31.70 thf(func_def_234, type, eucl_rel_int: (int > int > product_prod @ int @ int > $o)).
% 216.99/31.70 thf(func_def_235, type, unique5940410009612947441es_aux: !>[X0: $tType]:((product_prod @ X0 @ X0 > $o))).
% 216.99/31.70 thf(func_def_236, type, unique8689654367752047608divmod: !>[X0: $tType]:((num > num > product_prod @ X0 @ X0))).
% 216.99/31.70 thf(func_def_237, type, unique1321980374590559556d_step: !>[X0: $tType]:((num > product_prod @ X0 @ X0 > product_prod @ X0 @ X0))).
% 216.99/31.70 thf(func_def_238, type, comm_s3205402744901411588hammer: !>[X0: $tType]:((X0 > nat > X0))).
% 216.99/31.70 thf(func_def_239, type, semiring_char_0_fact: !>[X0: $tType]:((nat > X0))).
% 216.99/31.70 thf(func_def_240, type, inverse_inverse: !>[X0: $tType]:((X0 > X0))).
% 216.99/31.70 thf(func_def_241, type, at_bot: !>[X0: $tType]:(filter @ X0)).
% 216.99/31.70 thf(func_def_242, type, at_top: !>[X0: $tType]:(filter @ X0)).
% 216.99/31.70 thf(func_def_243, type, eventually: !>[X0: $tType]:(((X0 > $o) > filter @ X0 > $o))).
% 216.99/31.70 thf(func_def_244, type, filtercomap: !>[X0: $tType, X1: $tType]:(((X0 > X1) > filter @ X1 > filter @ X0))).
% 216.99/31.70 thf(func_def_245, type, filterlim: !>[X0: $tType, X1: $tType]:(((X0 > X1) > filter @ X1 > filter @ X0 > $o))).
% 216.99/31.70 thf(func_def_246, type, filtermap: !>[X0: $tType, X1: $tType]:(((X0 > X1) > filter @ X0 > filter @ X1))).
% 216.99/31.70 thf(func_def_247, type, finite5375528669736107172at_top: !>[X0: $tType]:((set @ X0 > filter @ set @ X0))).
% 216.99/31.70 thf(func_def_248, type, map_filter_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > filter @ X0 > filter @ X1))).
% 216.99/31.70 thf(func_def_249, type, principal: !>[X0: $tType]:((set @ X0 > filter @ X0))).
% 216.99/31.70 thf(func_def_250, type, prod_filter: !>[X0: $tType, X1: $tType]:((filter @ X0 > filter @ X1 > filter @ product_prod @ X0 @ X1))).
% 216.99/31.70 thf(func_def_251, type, finite_Fpow: !>[X0: $tType]:((set @ X0 > set @ set @ X0))).
% 216.99/31.70 thf(func_def_252, type, finite_card: !>[X0: $tType]:((set @ X0 > nat))).
% 216.99/31.70 thf(func_def_253, type, finite6289374366891150609ommute: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > $o))).
% 216.99/31.70 thf(func_def_254, type, finite4664212375090638736ute_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1 > X1) > $o))).
% 216.99/31.70 thf(func_def_255, type, finite673082921795544331dem_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1 > X1) > $o))).
% 216.99/31.70 thf(func_def_256, type, finite_finite2: !>[X0: $tType]:((set @ X0 > $o))).
% 216.99/31.70 thf(func_def_257, type, finite_fold: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > X1 > set @ X0 > X1))).
% 216.99/31.70 thf(func_def_258, type, finite1890593828518410140dem_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1 > X1) > $o))).
% 216.99/31.70 thf(func_def_259, type, finite_folding_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1 > X1) > $o))).
% 216.99/31.70 thf(func_def_260, type, finite_folding_F: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > X1 > set @ X0 > X1))).
% 216.99/31.70 thf(func_def_261, type, bij_betw: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1 > $o))).
% 216.99/31.70 thf(func_def_262, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > X2 > X1))).
% 216.99/31.70 thf(func_def_263, type, fun_upd: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > X1 > X0 > X1))).
% 216.99/31.70 thf(func_def_264, type, id: !>[X0: $tType]:((X0 > X0))).
% 216.99/31.70 thf(func_def_265, type, inj_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > $o))).
% 216.99/31.70 thf(func_def_266, type, map_fun: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > (X1 > X2) > X0 > X3))).
% 216.99/31.70 thf(func_def_267, type, strict_mono_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > $o))).
% 216.99/31.70 thf(func_def_268, type, the_inv_into: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X1 > X0))).
% 216.99/31.70 thf(func_def_269, type, fun_is_measure: !>[X0: $tType]:(((X0 > nat) > $o))).
% 216.99/31.70 thf(func_def_270, type, fun_max_strict: set @ product_prod @ set @ product_prod @ nat @ nat @ set @ product_prod @ nat @ nat).
% 216.99/31.70 thf(func_def_271, type, fun_max_weak: set @ product_prod @ set @ product_prod @ nat @ nat @ set @ product_prod @ nat @ nat).
% 216.99/31.70 thf(func_def_272, type, fun_min_strict: set @ product_prod @ set @ product_prod @ nat @ nat @ set @ product_prod @ nat @ nat).
% 216.99/31.70 thf(func_def_273, type, fun_min_weak: set @ product_prod @ set @ product_prod @ nat @ nat @ set @ product_prod @ nat @ nat).
% 216.99/31.70 thf(func_def_274, type, fun_pair_leq: set @ product_prod @ product_prod @ nat @ nat @ product_prod @ nat @ nat).
% 216.99/31.70 thf(func_def_275, type, fun_pair_less: set @ product_prod @ product_prod @ nat @ nat @ product_prod @ nat @ nat).
% 216.99/31.70 thf(func_def_276, type, fun_reduction_pair: !>[X0: $tType]:((product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X0 @ X0 > $o))).
% 216.99/31.70 thf(func_def_277, type, gcd_Gcd: !>[X0: $tType]:((set @ X0 > X0))).
% 216.99/31.70 thf(func_def_278, type, bezw: (nat > nat > product_prod @ int @ int)).
% 216.99/31.70 thf(func_def_279, type, bezw_rel: (product_prod @ nat @ nat > product_prod @ nat @ nat > $o)).
% 216.99/31.70 thf(func_def_280, type, gcd_gcd: !>[X0: $tType]:((X0 > X0 > X0))).
% 216.99/31.70 thf(func_def_281, type, gcd_nat_rel: (product_prod @ nat @ nat > product_prod @ nat @ nat > $o)).
% 216.99/31.70 thf(func_def_282, type, semiri4206861660011772517g_char: !>[X0: $tType]:((itself @ X0 > nat))).
% 216.99/31.70 thf(func_def_283, type, abs_abs: !>[X0: $tType]:((X0 > X0))).
% 216.99/31.70 thf(func_def_284, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 216.99/31.70 thf(func_def_285, type, one_one: !>[X0: $tType]:(X0)).
% 216.99/31.70 thf(func_def_286, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 216.99/31.70 thf(func_def_287, type, sgn_sgn: !>[X0: $tType]:((X0 > X0))).
% 216.99/31.70 thf(func_def_288, type, times_times: !>[X0: $tType]:((X0 > X0 > X0))).
% 216.99/31.70 thf(func_def_289, type, uminus_uminus: !>[X0: $tType]:((X0 > X0))).
% 216.99/31.70 thf(func_def_290, type, zero_zero: !>[X0: $tType]:(X0)).
% 216.99/31.70 thf(func_def_291, type, groups7311177749621191930dd_sum: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 216.99/31.70 thf(func_def_292, type, groups1027152243600224163dd_sum: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 218.24/31.70 thf(func_def_293, type, groups7121269368397514597t_prod: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 218.24/31.70 thf(func_def_294, type, groups1962203154675924110t_prod: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 218.24/31.70 thf(func_def_295, type, groups4207007520872428315er_sum: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1 > list @ X0 > X1))).
% 218.24/31.70 thf(func_def_296, type, groups8242544230860333062m_list: !>[X0: $tType]:((list @ X0 > X0))).
% 218.24/31.70 thf(func_def_297, type, nO_MATCH: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o))).
% 218.24/31.70 thf(func_def_298, type, the: !>[X0: $tType]:(((X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_299, type, undefined: !>[X0: $tType]:(X0)).
% 218.24/31.70 thf(func_def_300, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_301, type, abs_Integ: (product_prod @ nat @ nat > int)).
% 218.24/31.70 thf(func_def_302, type, rep_Integ: (int > product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_303, type, int_ge_less_than: (int > set @ product_prod @ int @ int)).
% 218.24/31.70 thf(func_def_304, type, int_ge_less_than2: (int > set @ product_prod @ int @ int)).
% 218.24/31.70 thf(func_def_305, type, nat2: (int > nat)).
% 218.24/31.70 thf(func_def_306, type, power_int: !>[X0: $tType]:((X0 > int > X0))).
% 218.24/31.70 thf(func_def_307, type, ring_1_Ints: !>[X0: $tType]:(set @ X0)).
% 218.24/31.70 thf(func_def_308, type, ring_1_of_int: !>[X0: $tType]:((int > X0))).
% 218.24/31.70 thf(func_def_309, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_310, type, semila1105856199041335345_order: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > (X0 > X0 > $o) > (X0 > X0 > $o) > $o))).
% 218.24/31.70 thf(func_def_311, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_312, type, lattices_Max: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0))).
% 218.24/31.70 thf(func_def_313, type, lattices_Min: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0))).
% 218.24/31.70 thf(func_def_314, type, lattic643756798349783984er_Max: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.70 thf(func_def_315, type, lattic643756798350308766er_Min: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.70 thf(func_def_316, type, lattic7623131987881927897min_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 218.24/31.70 thf(func_def_317, type, lattic7752659483105999362nf_fin: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.70 thf(func_def_318, type, lattic5882676163264333800up_fin: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.70 thf(func_def_319, type, bfun: !>[X0: $tType, X1: $tType]:(((X0 > X1) > filter @ X0 > $o))).
% 218.24/31.70 thf(func_def_320, type, at_infinity: !>[X0: $tType]:(filter @ X0)).
% 218.24/31.70 thf(func_def_321, type, append: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 218.24/31.70 thf(func_def_322, type, arg_min_list: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > X0))).
% 218.24/31.70 thf(func_def_323, type, bind: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > list @ X1) > list @ X1))).
% 218.24/31.70 thf(func_def_324, type, concat: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 218.24/31.70 thf(func_def_325, type, count_list: !>[X0: $tType]:((list @ X0 > X0 > nat))).
% 218.24/31.70 thf(func_def_326, type, distinct: !>[X0: $tType]:((list @ X0 > $o))).
% 218.24/31.70 thf(func_def_327, type, drop: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 218.24/31.70 thf(func_def_328, type, dropWhile: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 218.24/31.70 thf(func_def_329, type, enumerate: !>[X0: $tType]:((nat > list @ X0 > list @ product_prod @ nat @ X0))).
% 218.24/31.70 thf(func_def_330, type, extract: !>[X0: $tType]:(((X0 > $o) > list @ X0 > option @ product_prod @ list @ X0 @ product_prod @ X0 @ list @ X0))).
% 218.24/31.70 thf(func_def_331, type, filter2: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 218.24/31.70 thf(func_def_332, type, find: !>[X0: $tType]:(((X0 > $o) > list @ X0 > option @ X0))).
% 218.24/31.70 thf(func_def_333, type, folding_insort_key: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > set @ X1 > (X1 > X0) > $o))).
% 218.24/31.70 thf(func_def_334, type, foldl: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X0) > X0 > list @ X1 > X0))).
% 218.24/31.70 thf(func_def_335, type, foldr: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > list @ X0 > X1 > X1))).
% 218.24/31.70 thf(func_def_336, type, gen_length: !>[X0: $tType]:((nat > list @ X0 > nat))).
% 218.24/31.70 thf(func_def_337, type, lenlex: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 218.24/31.70 thf(func_def_338, type, lex: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 218.24/31.70 thf(func_def_339, type, lexn: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > set @ product_prod @ list @ X0 @ list @ X0))).
% 218.24/31.70 thf(func_def_340, type, lexord: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 218.24/31.70 thf(func_def_341, type, lexordp: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 218.24/31.70 thf(func_def_342, type, insort_key: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > X1 > list @ X1 > list @ X1))).
% 218.24/31.70 thf(func_def_343, type, sorted8670434370408473282of_set: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > set @ X1 > list @ X1))).
% 218.24/31.70 thf(func_def_344, type, linorder_insort_key: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > list @ X0 > list @ X0))).
% 218.24/31.70 thf(func_def_345, type, linord144544945434240204of_set: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > list @ X0))).
% 218.24/31.70 thf(func_def_346, type, linord4507533701916653071of_set: !>[X0: $tType]:((set @ X0 > list @ X0))).
% 218.24/31.70 thf(func_def_347, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 218.24/31.70 thf(func_def_348, type, nil: !>[X0: $tType]:(list @ X0)).
% 218.24/31.70 thf(func_def_349, type, case_list: !>[X0: $tType, X1: $tType]:((X0 > (X1 > list @ X1 > X0) > list @ X1 > X0))).
% 218.24/31.70 thf(func_def_350, type, hd: !>[X0: $tType]:((list @ X0 > X0))).
% 218.24/31.70 thf(func_def_351, type, map: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1))).
% 218.24/31.70 thf(func_def_352, type, set2: !>[X0: $tType]:((list @ X0 > set @ X0))).
% 218.24/31.70 thf(func_def_353, type, size_list: !>[X0: $tType]:(((X0 > nat) > list @ X0 > nat))).
% 218.24/31.70 thf(func_def_354, type, tl: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 218.24/31.70 thf(func_def_355, type, list_update: !>[X0: $tType]:((list @ X0 > nat > X0 > list @ X0))).
% 218.24/31.70 thf(func_def_356, type, listrel: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ list @ X0 @ list @ X1))).
% 218.24/31.70 thf(func_def_357, type, listrel1: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 218.24/31.70 thf(func_def_358, type, listrel1p: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 218.24/31.70 thf(func_def_359, type, listrelp: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > $o))).
% 218.24/31.70 thf(func_def_360, type, listset: !>[X0: $tType]:((list @ set @ X0 > set @ list @ X0))).
% 218.24/31.70 thf(func_def_361, type, map_filter: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > list @ X0 > list @ X1))).
% 218.24/31.70 thf(func_def_362, type, map_project: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ X0 > set @ X1))).
% 218.24/31.70 thf(func_def_363, type, min_list: !>[X0: $tType]:((list @ X0 > X0))).
% 218.24/31.70 thf(func_def_364, type, min_list_rel: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 218.24/31.70 thf(func_def_365, type, n_lists: !>[X0: $tType]:((nat > list @ X0 > list @ list @ X0))).
% 218.24/31.70 thf(func_def_366, type, nth: !>[X0: $tType]:((list @ X0 > nat > X0))).
% 218.24/31.70 thf(func_def_367, type, nths: !>[X0: $tType]:((list @ X0 > set @ nat > list @ X0))).
% 218.24/31.70 thf(func_def_368, type, partition: !>[X0: $tType]:(((X0 > $o) > list @ X0 > product_prod @ list @ X0 @ list @ X0))).
% 218.24/31.70 thf(func_def_369, type, product: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > list @ product_prod @ X0 @ X1))).
% 218.24/31.70 thf(func_def_370, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 218.24/31.70 thf(func_def_371, type, remdups: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 218.24/31.70 thf(func_def_372, type, remdups_adj: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 218.24/31.70 thf(func_def_373, type, remdups_adj_rel: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 218.24/31.70 thf(func_def_374, type, remove1: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 218.24/31.70 thf(func_def_375, type, removeAll: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 218.24/31.70 thf(func_def_376, type, replicate: !>[X0: $tType]:((nat > X0 > list @ X0))).
% 218.24/31.70 thf(func_def_377, type, rev: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 218.24/31.70 thf(func_def_378, type, rotate: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 218.24/31.70 thf(func_def_379, type, rotate1: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 218.24/31.70 thf(func_def_380, type, set_Cons: !>[X0: $tType]:((set @ X0 > set @ list @ X0 > set @ list @ X0))).
% 218.24/31.70 thf(func_def_381, type, shuffles: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ list @ X0))).
% 218.24/31.70 thf(func_def_382, type, sorted_wrt: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o))).
% 218.24/31.70 thf(func_def_383, type, subseqs: !>[X0: $tType]:((list @ X0 > list @ list @ X0))).
% 218.24/31.70 thf(func_def_384, type, take: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 218.24/31.70 thf(func_def_385, type, takeWhile: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 218.24/31.70 thf(func_def_386, type, transpose: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 218.24/31.70 thf(func_def_387, type, transpose_rel: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > $o))).
% 218.24/31.70 thf(func_def_388, type, union: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 218.24/31.70 thf(func_def_389, type, upt: (nat > nat > list @ nat)).
% 218.24/31.70 thf(func_def_390, type, upto: (int > int > list @ int)).
% 218.24/31.70 thf(func_def_391, type, upto_aux: (int > int > list @ int > list @ int)).
% 218.24/31.70 thf(func_def_392, type, upto_rel: (product_prod @ int @ int > product_prod @ int @ int > $o)).
% 218.24/31.70 thf(func_def_393, type, zip: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > list @ product_prod @ X0 @ X1))).
% 218.24/31.70 thf(func_def_394, type, dom: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ X0))).
% 218.24/31.70 thf(func_def_395, type, graph: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ product_prod @ X0 @ X1))).
% 218.24/31.70 thf(func_def_396, type, map_of: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X0 @ X1 > X0 > option @ X1))).
% 218.24/31.70 thf(func_def_397, type, map_upds: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > list @ X0 > list @ X1 > X0 > option @ X1))).
% 218.24/31.70 thf(func_def_398, type, ran: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ X1))).
% 218.24/31.70 thf(func_def_399, type, restrict_map: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ X0 > X0 > option @ X1))).
% 218.24/31.70 thf(func_def_400, type, suc: (nat > nat)).
% 218.24/31.70 thf(func_def_401, type, compow: !>[X0: $tType]:((nat > X0 > X0))).
% 218.24/31.70 thf(func_def_402, type, funpow: !>[X0: $tType]:((nat > (X0 > X0) > X0 > X0))).
% 218.24/31.70 thf(func_def_403, type, case_nat: !>[X0: $tType]:((X0 > (nat > X0) > nat > X0))).
% 218.24/31.70 thf(func_def_404, type, pred: (nat > nat)).
% 218.24/31.70 thf(func_def_405, type, rec_nat: !>[X0: $tType]:((X0 > (nat > X0 > X0) > nat > X0))).
% 218.24/31.70 thf(func_def_406, type, rec_set_nat: !>[X0: $tType]:((X0 > (nat > X0 > X0) > nat > X0 > $o))).
% 218.24/31.70 thf(func_def_407, type, semiring_1_Nats: !>[X0: $tType]:(set @ X0)).
% 218.24/31.70 thf(func_def_408, type, semiring_1_of_nat: !>[X0: $tType]:((nat > X0))).
% 218.24/31.70 thf(func_def_409, type, semiri8178284476397505188at_aux: !>[X0: $tType]:(((X0 > X0) > nat > X0 > X0))).
% 218.24/31.70 thf(func_def_410, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 218.24/31.70 thf(func_def_411, type, nat_list_encode: (list @ nat > nat)).
% 218.24/31.70 thf(func_def_412, type, nat_list_encode_rel: (list @ nat > list @ nat > $o)).
% 218.24/31.70 thf(func_def_413, type, nat_prod_decode_aux: (nat > nat > product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_414, type, nat_pr5047031295181774490ux_rel: (product_prod @ nat @ nat > product_prod @ nat @ nat > $o)).
% 218.24/31.70 thf(func_def_415, type, nat_prod_encode: (product_prod @ nat @ nat > nat)).
% 218.24/31.70 thf(func_def_416, type, nat_set_decode: (nat > set @ nat)).
% 218.24/31.70 thf(func_def_417, type, nat_set_encode: (set @ nat > nat)).
% 218.24/31.70 thf(func_def_418, type, nat_triangle: (nat > nat)).
% 218.24/31.70 thf(func_def_419, type, root: (nat > real > real)).
% 218.24/31.70 thf(func_def_420, type, sqrt: (real > real)).
% 218.24/31.70 thf(func_def_421, type, bitM: (num > num)).
% 218.24/31.70 thf(func_def_422, type, inc: (num > num)).
% 218.24/31.70 thf(func_def_423, type, neg_numeral_dbl_dec: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_424, type, neg_numeral_sub: !>[X0: $tType]:((num > num > X0))).
% 218.24/31.70 thf(func_def_425, type, bit0: (num > num)).
% 218.24/31.70 thf(func_def_426, type, bit1: (num > num)).
% 218.24/31.70 thf(func_def_427, type, one2: num).
% 218.24/31.70 thf(func_def_428, type, case_num: !>[X0: $tType]:((X0 > (num > X0) > (num > X0) > num > X0))).
% 218.24/31.70 thf(func_def_429, type, size_num: (num > nat)).
% 218.24/31.70 thf(func_def_430, type, num_of_nat: (nat > num)).
% 218.24/31.70 thf(func_def_431, type, numeral_numeral: !>[X0: $tType]:((num > X0))).
% 218.24/31.70 thf(func_def_432, type, pow: (num > num > num)).
% 218.24/31.70 thf(func_def_433, type, pred_numeral: (num > nat)).
% 218.24/31.70 thf(func_def_434, type, none: !>[X0: $tType]:(option @ X0)).
% 218.24/31.70 thf(func_def_435, type, some: !>[X0: $tType]:((X0 > option @ X0))).
% 218.24/31.70 thf(func_def_436, type, case_option: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > option @ X1 > X0))).
% 218.24/31.70 thf(func_def_437, type, map_option: !>[X0: $tType, X1: $tType]:(((X0 > X1) > option @ X0 > option @ X1))).
% 218.24/31.70 thf(func_def_438, type, rec_option: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > option @ X1 > X0))).
% 218.24/31.70 thf(func_def_439, type, size_option: !>[X0: $tType]:(((X0 > nat) > option @ X0 > nat))).
% 218.24/31.70 thf(func_def_440, type, the2: !>[X0: $tType]:((option @ X0 > X0))).
% 218.24/31.70 thf(func_def_441, type, these: !>[X0: $tType]:((set @ option @ X0 > set @ X0))).
% 218.24/31.70 thf(func_def_442, type, order_532582986084564980_cclfp: !>[X0: $tType]:(((X0 > X0) > X0))).
% 218.24/31.70 thf(func_def_443, type, order_Above: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > set @ X0))).
% 218.24/31.70 thf(func_def_444, type, order_Under: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > set @ X0))).
% 218.24/31.70 thf(func_def_445, type, order_UnderS: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > set @ X0))).
% 218.24/31.70 thf(func_def_446, type, order_aboveS: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ X0))).
% 218.24/31.70 thf(func_def_447, type, order_679001287576687338der_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 218.24/31.70 thf(func_def_448, type, order_7125193373082350890der_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 218.24/31.70 thf(func_def_449, type, order_under: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ X0))).
% 218.24/31.70 thf(func_def_450, type, order_underS: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ X0))).
% 218.24/31.70 thf(func_def_451, type, bot_bot: !>[X0: $tType]:(X0)).
% 218.24/31.70 thf(func_def_452, type, least: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_453, type, max: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_454, type, min: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_455, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 218.24/31.70 thf(func_def_456, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 218.24/31.70 thf(func_def_457, type, ord_max: !>[X0: $tType]:((X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_458, type, ord_min: !>[X0: $tType]:((X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_459, type, order_Greatest: !>[X0: $tType]:(((X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_460, type, order_antimono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 218.24/31.70 thf(func_def_461, type, order_mono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 218.24/31.70 thf(func_def_462, type, order_strict_mono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 218.24/31.70 thf(func_def_463, type, top_top: !>[X0: $tType]:(X0)).
% 218.24/31.70 thf(func_def_464, type, partial_flat_lub: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.70 thf(func_def_465, type, power_power: !>[X0: $tType]:((X0 > nat > X0))).
% 218.24/31.70 thf(func_def_466, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 218.24/31.70 thf(func_def_467, type, product_Sigma: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > set @ product_prod @ X0 @ X1))).
% 218.24/31.70 thf(func_def_468, type, product_apfst: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > product_prod @ X0 @ X2 > product_prod @ X1 @ X2))).
% 218.24/31.70 thf(func_def_469, type, product_apsnd: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > product_prod @ X2 @ X0 > product_prod @ X2 @ X1))).
% 218.24/31.70 thf(func_def_470, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 218.24/31.70 thf(func_def_471, type, product_rec_set_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2 > $o))).
% 218.24/31.70 thf(func_def_472, type, product_case_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 218.24/31.70 thf(func_def_473, type, product_fst: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 218.24/31.70 thf(func_def_474, type, product_snd: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 218.24/31.70 thf(func_def_475, type, product_product: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > set @ product_prod @ X0 @ X1))).
% 218.24/31.70 thf(func_def_476, type, fract: (int > int > rat)).
% 218.24/31.70 thf(func_def_477, type, frct: (product_prod @ int @ int > rat)).
% 218.24/31.70 thf(func_def_478, type, rep_Rat: (rat > product_prod @ int @ int)).
% 218.24/31.70 thf(func_def_479, type, field_char_0_Rats: !>[X0: $tType]:(set @ X0)).
% 218.24/31.70 thf(func_def_480, type, normalize: (product_prod @ int @ int > product_prod @ int @ int)).
% 218.24/31.70 thf(func_def_481, type, of_int: (int > rat)).
% 218.24/31.70 thf(func_def_482, type, positive: (rat > $o)).
% 218.24/31.70 thf(func_def_483, type, quotient_of: (rat > product_prod @ int @ int)).
% 218.24/31.70 thf(func_def_484, type, real_V3181309239436604168linear: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 218.24/31.70 thf(func_def_485, type, real_V557655796197034286t_dist: !>[X0: $tType]:((X0 > X0 > real))).
% 218.24/31.70 thf(func_def_486, type, real_V7770717601297561774m_norm: !>[X0: $tType]:((X0 > real))).
% 218.24/31.70 thf(func_def_487, type, real_Vector_of_real: !>[X0: $tType]:((real > X0))).
% 218.24/31.70 thf(func_def_488, type, real_V8093663219630862766scaleR: !>[X0: $tType]:((real > X0 > X0))).
% 218.24/31.70 thf(func_def_489, type, field2: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0))).
% 218.24/31.70 thf(func_def_490, type, id2: !>[X0: $tType]:(set @ product_prod @ X0 @ X0)).
% 218.24/31.70 thf(func_def_491, type, id_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0))).
% 218.24/31.70 thf(func_def_492, type, irrefl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 218.24/31.70 thf(func_def_493, type, refl_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 218.24/31.70 thf(func_def_494, type, relcomp: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ X1 @ X2 > set @ product_prod @ X0 @ X2))).
% 218.24/31.70 thf(func_def_495, type, total_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 218.24/31.70 thf(func_def_496, type, divide_divide: !>[X0: $tType]:((X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_497, type, dvd_dvd: !>[X0: $tType]:((X0 > X0 > $o))).
% 218.24/31.70 thf(func_def_498, type, modulo_modulo: !>[X0: $tType]:((X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_499, type, zero_neq_one_of_bool: !>[X0: $tType]:(($o > X0))).
% 218.24/31.70 thf(func_def_500, type, suminf: !>[X0: $tType]:(((nat > X0) > X0))).
% 218.24/31.70 thf(func_def_501, type, summable: !>[X0: $tType]:(((nat > X0) > $o))).
% 218.24/31.70 thf(func_def_502, type, sums: !>[X0: $tType]:(((nat > X0) > X0 > $o))).
% 218.24/31.70 thf(func_def_503, type, ball: !>[X0: $tType]:((set @ X0 > (X0 > $o) > $o))).
% 218.24/31.70 thf(func_def_504, type, bex: !>[X0: $tType]:((set @ X0 > (X0 > $o) > $o))).
% 218.24/31.70 thf(func_def_505, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 218.24/31.70 thf(func_def_506, type, pow2: !>[X0: $tType]:((set @ X0 > set @ set @ X0))).
% 218.24/31.70 thf(func_def_507, type, filter3: !>[X0: $tType]:(((X0 > $o) > set @ X0 > set @ X0))).
% 218.24/31.70 thf(func_def_508, type, image: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1))).
% 218.24/31.70 thf(func_def_509, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 218.24/31.70 thf(func_def_510, type, is_singleton: !>[X0: $tType]:((set @ X0 > $o))).
% 218.24/31.70 thf(func_def_511, type, remove: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 218.24/31.70 thf(func_def_512, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.70 thf(func_def_513, type, vimage: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X1 > set @ X0))).
% 218.24/31.70 thf(func_def_514, type, set_fo6178422350223883121st_nat: !>[X0: $tType]:(((nat > X0 > X0) > nat > nat > X0 > X0))).
% 218.24/31.70 thf(func_def_515, type, set_ord_atLeast: !>[X0: $tType]:((X0 > set @ X0))).
% 218.24/31.70 thf(func_def_516, type, set_or1337092689740270186AtMost: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 218.24/31.70 thf(func_def_517, type, set_or7035219750837199246ssThan: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 218.24/31.70 thf(func_def_518, type, set_ord_atMost: !>[X0: $tType]:((X0 > set @ X0))).
% 218.24/31.70 thf(func_def_519, type, set_ord_greaterThan: !>[X0: $tType]:((X0 > set @ X0))).
% 218.24/31.70 thf(func_def_520, type, set_or3652927894154168847AtMost: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 218.24/31.70 thf(func_def_521, type, set_or5935395276787703475ssThan: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 218.24/31.70 thf(func_def_522, type, set_ord_lessThan: !>[X0: $tType]:((X0 > set @ X0))).
% 218.24/31.70 thf(func_def_523, type, topolo3448309680560233919inuous: !>[X0: $tType, X1: $tType]:((filter @ X0 > (X0 > X1) > $o))).
% 218.24/31.70 thf(func_def_524, type, topolo81223032696312382ous_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > $o))).
% 218.24/31.70 thf(func_def_525, type, topological_monoseq: !>[X0: $tType]:(((nat > X0) > $o))).
% 218.24/31.70 thf(func_def_526, type, topolo1002775350975398744n_open: !>[X0: $tType]:((set @ X0 > $o))).
% 218.24/31.70 thf(func_def_527, type, topolo3827282254853284352ce_Lim: !>[X0: $tType, X1: $tType]:((filter @ X0 > (X0 > X1) > X1))).
% 218.24/31.70 thf(func_def_528, type, topolo174197925503356063within: !>[X0: $tType]:((X0 > set @ X0 > filter @ X0))).
% 218.24/31.70 thf(func_def_529, type, topolo7761053866217962861closed: !>[X0: $tType]:((set @ X0 > $o))).
% 218.24/31.70 thf(func_def_530, type, topolo2193935891317330818ompact: !>[X0: $tType]:((set @ X0 > $o))).
% 218.24/31.70 thf(func_def_531, type, topolo7230453075368039082e_nhds: !>[X0: $tType]:((X0 > filter @ X0))).
% 218.24/31.70 thf(func_def_532, type, topolo3814608138187158403Cauchy: !>[X0: $tType]:(((nat > X0) > $o))).
% 218.24/31.70 thf(func_def_533, type, topolo6773858410816713723filter: !>[X0: $tType]:((filter @ X0 > $o))).
% 218.24/31.70 thf(func_def_534, type, topolo2479028161051973599mplete: !>[X0: $tType]:((set @ X0 > $o))).
% 218.24/31.70 thf(func_def_535, type, topolo6688025880775521714ounded: !>[X0: $tType]:((set @ X0 > $o))).
% 218.24/31.70 thf(func_def_536, type, topolo7806501430040627800ormity: !>[X0: $tType]:(filter @ product_prod @ X0 @ X0)).
% 218.24/31.70 thf(func_def_537, type, topolo6026614971017936543ous_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > $o))).
% 218.24/31.70 thf(func_def_538, type, arccos: (real > real)).
% 218.24/31.70 thf(func_def_539, type, arcosh: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_540, type, arcsin: (real > real)).
% 218.24/31.70 thf(func_def_541, type, arctan: (real > real)).
% 218.24/31.70 thf(func_def_542, type, arsinh: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_543, type, artanh: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_544, type, cos: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_545, type, cos_coeff: (nat > real)).
% 218.24/31.70 thf(func_def_546, type, cosh: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_547, type, cot: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_548, type, diffs: !>[X0: $tType]:(((nat > X0) > nat > X0))).
% 218.24/31.70 thf(func_def_549, type, exp: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_550, type, ln_ln: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_551, type, log: (real > real > real)).
% 218.24/31.70 thf(func_def_552, type, pi: real).
% 218.24/31.70 thf(func_def_553, type, powr: !>[X0: $tType]:((X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_554, type, sin: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_555, type, sin_coeff: (nat > real)).
% 218.24/31.70 thf(func_def_556, type, sinh: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_557, type, tan: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_558, type, tanh: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_559, type, transitive_ntrancl: !>[X0: $tType]:((nat > set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 218.24/31.70 thf(func_def_560, type, transitive_rtrancl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 218.24/31.70 thf(func_def_561, type, transitive_trancl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 218.24/31.70 thf(func_def_562, type, vEBT_Leaf: ($o > $o > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_563, type, vEBT_Node: (option @ product_prod @ nat @ nat > nat > list @ vEBT_VEBT > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_564, type, vEBT_size_VEBT: (vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_565, type, vEBT_V8194947554948674370ptions: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_566, type, vEBT_VEBT_high: (nat > nat > nat)).
% 218.24/31.70 thf(func_def_567, type, vEBT_V5917875025757280293ildren: (nat > list @ vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_568, type, vEBT_VEBT_low: (nat > nat > nat)).
% 218.24/31.70 thf(func_def_569, type, vEBT_VEBT_membermima: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_570, type, vEBT_V4351362008482014158ma_rel: (product_prod @ vEBT_VEBT @ nat > product_prod @ vEBT_VEBT @ nat > $o)).
% 218.24/31.70 thf(func_def_571, type, vEBT_V5719532721284313246member: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_572, type, vEBT_V5765760719290551771er_rel: (product_prod @ vEBT_VEBT @ nat > product_prod @ vEBT_VEBT @ nat > $o)).
% 218.24/31.70 thf(func_def_573, type, vEBT_VEBT_valid: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_574, type, vEBT_VEBT_valid_rel: (product_prod @ vEBT_VEBT @ nat > product_prod @ vEBT_VEBT @ nat > $o)).
% 218.24/31.70 thf(func_def_575, type, vEBT_invar_vebt: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_576, type, vEBT_set_vebt: (vEBT_VEBT > set @ nat)).
% 218.24/31.70 thf(func_def_577, type, vEBT_vebt_buildup: (nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_578, type, vEBT_v4011308405150292612up_rel: (nat > nat > $o)).
% 218.24/31.70 thf(func_def_579, type, vEBT_VEBT_bit_concat: (nat > nat > nat > nat)).
% 218.24/31.70 thf(func_def_580, type, vEBT_VEBT_minNull: (vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_581, type, vEBT_V6963167321098673237ll_rel: (vEBT_VEBT > vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_582, type, vEBT_VEBT_set_vebt: (vEBT_VEBT > set @ nat)).
% 218.24/31.70 thf(func_def_583, type, vEBT_vebt_member: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_584, type, vEBT_vebt_member_rel: (product_prod @ vEBT_VEBT @ nat > product_prod @ vEBT_VEBT @ nat > $o)).
% 218.24/31.70 thf(func_def_585, type, vEBT_VEBT_add: (option @ nat > option @ nat > option @ nat)).
% 218.24/31.70 thf(func_def_586, type, vEBT_VEBT_greater: (option @ nat > option @ nat > $o)).
% 218.24/31.70 thf(func_def_587, type, vEBT_VEBT_less: (option @ nat > option @ nat > $o)).
% 218.24/31.70 thf(func_def_588, type, vEBT_VEBT_lesseq: (option @ nat > option @ nat > $o)).
% 218.24/31.70 thf(func_def_589, type, vEBT_VEBT_max_in_set: (set @ nat > nat > $o)).
% 218.24/31.70 thf(func_def_590, type, vEBT_VEBT_min_in_set: (set @ nat > nat > $o)).
% 218.24/31.70 thf(func_def_591, type, vEBT_VEBT_mul: (option @ nat > option @ nat > option @ nat)).
% 218.24/31.70 thf(func_def_592, type, vEBT_V2048590022279873568_shift: !>[X0: $tType]:(((X0 > X0 > X0) > option @ X0 > option @ X0 > option @ X0))).
% 218.24/31.70 thf(func_def_593, type, vEBT_VEBT_power: (option @ nat > option @ nat > option @ nat)).
% 218.24/31.70 thf(func_def_594, type, vEBT_vebt_maxt: (vEBT_VEBT > option @ nat)).
% 218.24/31.70 thf(func_def_595, type, vEBT_vebt_maxt_rel: (vEBT_VEBT > vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_596, type, vEBT_vebt_mint: (vEBT_VEBT > option @ nat)).
% 218.24/31.70 thf(func_def_597, type, vEBT_vebt_mint_rel: (vEBT_VEBT > vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_598, type, accp: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > $o))).
% 218.24/31.70 thf(func_def_599, type, finite_psubset: !>[X0: $tType]:(set @ product_prod @ set @ X0 @ set @ X0)).
% 218.24/31.70 thf(func_def_600, 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))).
% 218.24/31.70 thf(func_def_601, type, max_ext: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ set @ X0 @ set @ X0))).
% 218.24/31.70 thf(func_def_602, type, max_extp: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > set @ X0 > $o))).
% 218.24/31.70 thf(func_def_603, type, measure: !>[X0: $tType]:(((X0 > nat) > set @ product_prod @ X0 @ X0))).
% 218.24/31.70 thf(func_def_604, type, min_ext: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ set @ X0 @ set @ X0))).
% 218.24/31.70 thf(func_def_605, type, mlex_prod: !>[X0: $tType]:(((X0 > nat) > set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 218.24/31.70 thf(func_def_606, type, pred_nat: set @ product_prod @ nat @ nat).
% 218.24/31.70 thf(func_def_607, type, wf: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 218.24/31.70 thf(func_def_608, 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))).
% 218.24/31.70 thf(func_def_609, type, chains: !>[X0: $tType]:((set @ set @ X0 > set @ set @ set @ X0))).
% 218.24/31.70 thf(func_def_610, type, fChoice: !>[X0: $tType]:(((X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_611, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 218.24/31.70 thf(func_def_612, type, deg: nat).
% 218.24/31.70 thf(func_def_613, type, m: nat).
% 218.24/31.70 thf(func_def_614, type, ma: nat).
% 218.24/31.70 thf(func_def_615, type, maxs: nat).
% 218.24/31.70 thf(func_def_616, type, mi: nat).
% 218.24/31.70 thf(func_def_617, type, n: nat).
% 218.24/31.70 thf(func_def_618, type, summary: vEBT_VEBT).
% 218.24/31.70 thf(func_def_619, type, thesis: $o).
% 218.24/31.70 thf(func_def_620, type, treeList: list @ vEBT_VEBT).
% 218.24/31.70 thf(func_def_622, type, vNOT: ($o > $o)).
% 218.24/31.70 thf(func_def_625, type, vOR: ($o > $o > $o)).
% 218.24/31.70 thf(func_def_626, type, db1: !>[X0: $tType]:(X0)).
% 218.24/31.70 thf(func_def_627, type, db0: !>[X0: $tType]:(X0)).
% 218.24/31.70 thf(func_def_628, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 218.24/31.70 thf(func_def_629, type, db2: !>[X0: $tType]:(X0)).
% 218.24/31.70 thf(func_def_630, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 218.24/31.70 thf(func_def_631, type, vAND: ($o > $o > $o)).
% 218.24/31.70 thf(func_def_632, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 218.24/31.70 thf(func_def_633, type, vIMP: ($o > $o > $o)).
% 218.24/31.70 thf(func_def_634, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 218.24/31.70 thf(func_def_635, type, db3: !>[X0: $tType]:(X0)).
% 218.24/31.70 thf(func_def_636, type, db4: !>[X0: $tType]:(X0)).
% 218.24/31.70 thf(func_def_637, type, db5: !>[X0: $tType]:(X0)).
% 218.24/31.70 thf(func_def_638, type, db6: !>[X0: $tType]:(X0)).
% 218.24/31.70 thf(func_def_639, type, db9: !>[X0: $tType]:(X0)).
% 218.24/31.70 thf(func_def_640, type, db8: !>[X0: $tType]:(X0)).
% 218.24/31.70 thf(func_def_641, type, db7: !>[X0: $tType]:(X0)).
% 218.24/31.70 thf(func_def_642, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 218.24/31.70 thf(func_def_643, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 218.24/31.70 thf(func_def_644, type, sP2: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 218.24/31.70 thf(func_def_645, type, sP3: !>[X0: $tType, X1: $tType]:(((option @ X1 > option @ X0 > $o) > option @ X1 > option @ X0 > $o))).
% 218.24/31.70 thf(func_def_646, type, sP4: !>[X0: $tType]:((option @ X0 > option @ X0 > option @ X0 > $o))).
% 218.24/31.70 thf(func_def_647, type, sP5: (nat > list @ vEBT_VEBT > nat > nat > nat > $o)).
% 218.24/31.70 thf(func_def_648, type, sP6: (nat > list @ vEBT_VEBT > nat > nat > nat > $o)).
% 218.24/31.70 thf(func_def_649, type, sP7: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_650, type, sP8: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_651, type, sP9: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_652, type, sP10: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_653, type, sP11: (nat > list @ vEBT_VEBT > nat > nat > nat > $o)).
% 218.24/31.70 thf(func_def_654, type, sP12: (nat > nat > list @ vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_655, type, sP13: (nat > list @ vEBT_VEBT > nat > nat > nat > $o)).
% 218.24/31.70 thf(func_def_656, type, sP14: (nat > nat > list @ vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_657, type, sP15: (vEBT_VEBT > $o > $o)).
% 218.24/31.70 thf(func_def_658, type, sP16: (vEBT_VEBT > $o > $o)).
% 218.24/31.70 thf(func_def_659, type, sP17: (vEBT_VEBT > option @ nat > $o)).
% 218.24/31.70 thf(func_def_660, type, sP18: (vEBT_VEBT > option @ nat > $o)).
% 218.24/31.70 thf(func_def_661, type, sP19: (int > (int > $o) > $o)).
% 218.24/31.70 thf(func_def_662, type, sP20: !>[X0: $tType]:((set @ X0 > (set @ X0 > $o) > $o))).
% 218.24/31.70 thf(func_def_663, type, sP21: (real > real > (real > real > $o) > $o)).
% 218.24/31.70 thf(func_def_664, type, sP22: (vEBT_VEBT > nat > $o > $o)).
% 218.24/31.70 thf(func_def_665, type, sP23: (vEBT_VEBT > $o > $o)).
% 218.24/31.70 thf(func_def_666, type, sP24: (nat > vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_667, type, sP25: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_668, type, sP26: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_669, type, sP27: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_670, type, sP28: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_671, type, sP29: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_672, type, sP30: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_673, type, sP31: (vEBT_VEBT > $o > $o)).
% 218.24/31.70 thf(func_def_674, type, sP32: (vEBT_VEBT > $o > $o)).
% 218.24/31.70 thf(func_def_675, type, sP33: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_676, type, sP34: (vEBT_VEBT > $o > nat > $o)).
% 218.24/31.70 thf(func_def_677, type, sP35: (vEBT_VEBT > $o > nat > $o)).
% 218.24/31.70 thf(func_def_678, type, sP36: (vEBT_VEBT > $o > nat > $o)).
% 218.24/31.70 thf(func_def_679, type, sP37: (vEBT_VEBT > $o > nat > $o)).
% 218.24/31.70 thf(func_def_680, type, sP38: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_681, type, sP39: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_682, type, sP40: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_683, type, sP41: (vEBT_VEBT > $o > nat > $o)).
% 218.24/31.70 thf(func_def_684, type, sP42: (vEBT_VEBT > $o > nat > $o)).
% 218.24/31.70 thf(func_def_685, type, sP43: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_686, type, sP44: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_687, type, sP45: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_688, type, sP46: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_689, type, sP47: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_690, type, sP48: (vEBT_VEBT > $o > nat > $o)).
% 218.24/31.70 thf(func_def_691, type, sP49: (vEBT_VEBT > $o > nat > $o)).
% 218.24/31.70 thf(func_def_692, type, sP50: (vEBT_VEBT > $o > nat > $o)).
% 218.24/31.70 thf(func_def_693, type, sP51: (vEBT_VEBT > $o > nat > $o)).
% 218.24/31.70 thf(func_def_694, type, sP52: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_695, type, sP53: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_696, type, sP54: (nat > vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_697, type, sP55: (nat > vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_698, type, sP56: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X0 > X1) > (X1 > X0) > $o))).
% 218.24/31.70 thf(func_def_699, type, sP57: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > set @ X0 > set @ X0 > $o))).
% 218.24/31.70 thf(func_def_700, type, sP58: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X0 > X1) > (X1 > X0) > $o))).
% 218.24/31.70 thf(func_def_701, type, sP59: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > set @ X0 > set @ X0 > $o))).
% 218.24/31.70 thf(func_def_702, type, sP60: (nat > nat > (nat > int) > $o)).
% 218.24/31.70 thf(func_def_703, type, sP61: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X0 > X1) > (X1 > X0) > $o))).
% 218.24/31.70 thf(func_def_704, type, sP62: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > set @ X0 > set @ X0 > $o))).
% 218.24/31.70 thf(func_def_705, type, sP63: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X0 > X1) > (X1 > X0) > $o))).
% 218.24/31.70 thf(func_def_706, type, sP64: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > set @ X0 > set @ X0 > $o))).
% 218.24/31.70 thf(func_def_707, type, sP65: (product_prod @ int @ int > int > int > $o)).
% 218.24/31.70 thf(func_def_708, type, sP66: !>[X0: $tType]:((nat > (nat > X0) > $o))).
% 218.24/31.70 thf(func_def_709, type, sP67: (nat > (nat > nat) > $o)).
% 218.24/31.70 thf(func_def_710, type, sP68: (vEBT_VEBT > option @ nat > $o)).
% 218.24/31.70 thf(func_def_711, type, sP69: (vEBT_VEBT > option @ nat > $o)).
% 218.24/31.70 thf(func_def_712, type, sP70: (vEBT_VEBT > option @ nat > $o)).
% 218.24/31.70 thf(func_def_713, type, sP71: (vEBT_VEBT > option @ nat > $o)).
% 218.24/31.70 thf(func_def_714, type, sP72: (vEBT_VEBT > $o > $o)).
% 218.24/31.70 thf(func_def_715, type, sP73: (vEBT_VEBT > $o > $o)).
% 218.24/31.70 thf(func_def_716, type, sP74: (vEBT_VEBT > $o > $o)).
% 218.24/31.70 thf(func_def_717, type, sP75: (vEBT_VEBT > $o > $o)).
% 218.24/31.70 thf(func_def_718, type, sP76: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > (X0 > X1 > $o) > $o))).
% 218.24/31.70 thf(func_def_719, type, sP77: ((int > $o) > int > int > $o)).
% 218.24/31.70 thf(func_def_720, type, sP78: ((int > $o) > int > int > $o)).
% 218.24/31.70 thf(func_def_721, type, sP79: ((int > $o) > int > int > $o)).
% 218.24/31.70 thf(func_def_722, type, sP80: !>[X0: $tType, X1: $tType]:((set @ set @ X1 > (X1 > X0) > $o))).
% 218.24/31.70 thf(func_def_723, type, sP81: !>[X0: $tType, X1: $tType]:((set @ set @ X1 > (X1 > X0) > $o))).
% 218.24/31.70 thf(func_def_724, type, sP82: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_725, type, sP83: (vEBT_VEBT > $o > nat > $o)).
% 218.24/31.70 thf(func_def_726, type, sP84: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_727, type, sP85: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_728, type, sP86: (real > nat > real > $o)).
% 218.24/31.70 thf(func_def_729, type, sP87: (real > real > (real > real) > (real > real) > $o)).
% 218.24/31.70 thf(func_def_730, type, sP88: (nat > real > (nat > real > real) > $o)).
% 218.24/31.70 thf(func_def_731, type, sP89: (nat > real > (nat > real > real) > $o)).
% 218.24/31.70 thf(func_def_732, type, sP90: (nat > real > (nat > real > real) > $o)).
% 218.24/31.70 thf(func_def_733, type, sP91: ((real > real) > (nat > real > real) > real > real > nat > $o)).
% 218.24/31.70 thf(func_def_734, type, sP92: (nat > real > real > (nat > real > real) > $o)).
% 218.24/31.70 thf(func_def_735, type, sP93: (nat > real > real > (nat > real > real) > $o)).
% 218.24/31.70 thf(func_def_736, type, sP94: !>[X0: $tType, X1: $tType]:((X0 > X0 > (X0 > X1) > $o))).
% 218.24/31.70 thf(func_def_737, type, sP95: !>[X0: $tType, X1: $tType]:((X0 > X0 > (X0 > X1) > $o))).
% 218.24/31.70 thf(func_def_738, type, sP96: !>[X0: $tType]:((real > real > (real > X0) > $o))).
% 218.24/31.70 thf(func_def_739, type, sP97: !>[X0: $tType]:((real > real > (real > X0) > $o))).
% 218.24/31.70 thf(func_def_740, type, sP98: (real > real > (real > real) > (real > real) > $o)).
% 218.24/31.70 thf(func_def_741, type, sP99: !>[X0: $tType]:((real > real > (real > X0) > $o))).
% 218.24/31.70 thf(func_def_742, type, sP100: (real > real > (real > real) > $o)).
% 218.24/31.70 thf(func_def_743, type, sP101: (real > real > (real > real) > $o)).
% 218.24/31.70 thf(func_def_744, type, sP102: (real > real > (real > real) > (real > real) > $o)).
% 218.24/31.70 thf(func_def_745, type, sP103: (real > real > (real > real) > (real > real) > $o)).
% 218.24/31.70 thf(func_def_746, type, sP104: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > $o))).
% 218.24/31.70 thf(func_def_747, type, sP105: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > $o))).
% 218.24/31.70 thf(func_def_748, type, sP106: ((real > real) > real > (real > real) > real > $o)).
% 218.24/31.70 thf(func_def_749, type, sP107: (real > real > (real > real) > $o)).
% 218.24/31.70 thf(func_def_750, type, sP108: (real > real > (real > real) > $o)).
% 218.24/31.70 thf(func_def_751, type, sP109: (real > real > (real > real) > $o)).
% 218.24/31.70 thf(func_def_752, type, sP110: ((real > real) > real > real > $o)).
% 218.24/31.70 thf(func_def_753, type, sP111: (real > real > (real > real) > (real > real > real) > $o)).
% 218.24/31.70 thf(func_def_754, type, sP112: (real > real > (real > real) > (real > real > real) > $o)).
% 218.24/31.70 thf(func_def_755, type, sP113: (real > real > (real > real) > $o)).
% 218.24/31.70 thf(func_def_756, type, sP114: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > $o))).
% 218.24/31.70 thf(func_def_757, type, sP115: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X0 > $o) > $o))).
% 218.24/31.70 thf(func_def_758, type, sP116: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > $o))).
% 218.24/31.70 thf(func_def_759, type, sP117: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > $o))).
% 218.24/31.70 thf(func_def_760, type, sP118: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > $o))).
% 218.24/31.70 thf(func_def_761, type, sP119: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 218.24/31.70 thf(func_def_762, type, sP120: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ list @ X0 > $o))).
% 218.24/31.70 thf(func_def_763, type, sP121: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > $o))).
% 218.24/31.70 thf(func_def_764, type, sP122: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > $o))).
% 218.24/31.70 thf(func_def_765, type, sP123: !>[X0: $tType]:(((list @ list @ X0 > $o) > $o))).
% 218.24/31.70 thf(func_def_766, type, sP124: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 218.24/31.70 thf(func_def_767, type, sP125: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 218.24/31.70 thf(func_def_768, type, sP126: (list @ nat > nat > $o)).
% 218.24/31.70 thf(func_def_769, type, sP127: !>[X0: $tType]:((list @ X0 > X0 > $o))).
% 218.24/31.70 thf(func_def_770, type, sP128: (num > num > option @ num > $o)).
% 218.24/31.70 thf(func_def_771, type, sP129: (num > num > option @ num > $o)).
% 218.24/31.70 thf(func_def_772, type, sP130: (num > num > option @ num > $o)).
% 218.24/31.70 thf(func_def_773, type, sP131: (num > num > option @ num > $o)).
% 218.24/31.70 thf(func_def_774, type, sP132: (num > num > option @ num > $o)).
% 218.24/31.70 thf(func_def_775, type, sP133: (num > num > option @ num > $o)).
% 218.24/31.70 thf(func_def_776, type, sP134: (num > num > option @ num > $o)).
% 218.24/31.70 thf(func_def_777, type, sP135: (num > num > option @ num > $o)).
% 218.24/31.70 thf(func_def_778, type, sP136: (num > num > option @ num > $o)).
% 218.24/31.70 thf(func_def_779, type, sP137: (num > num > option @ num > $o)).
% 218.24/31.70 thf(func_def_780, type, sP138: (num > num > option @ num > $o)).
% 218.24/31.70 thf(func_def_781, type, sP139: (num > num > option @ num > $o)).
% 218.24/31.70 thf(func_def_782, type, sP140: (num > num > option @ num > $o)).
% 218.24/31.70 thf(func_def_783, type, sP141: (num > num > option @ num > $o)).
% 218.24/31.70 thf(func_def_784, type, sP142: (num > num > option @ num > $o)).
% 218.24/31.70 thf(func_def_785, type, sP143: (num > num > option @ num > $o)).
% 218.24/31.70 thf(func_def_786, type, sP144: (num > num > option @ num > $o)).
% 218.24/31.70 thf(func_def_787, type, sP145: (num > num > option @ num > $o)).
% 218.24/31.70 thf(func_def_788, type, sP146: (num > num > option @ num > $o)).
% 218.24/31.70 thf(func_def_789, type, sP147: (num > num > option @ num > $o)).
% 218.24/31.70 thf(func_def_790, type, sP148: (num > num > option @ num > $o)).
% 218.24/31.70 thf(func_def_791, type, sP149: (num > num > option @ num > $o)).
% 218.24/31.70 thf(func_def_792, type, sP150: (num > num > option @ num > $o)).
% 218.24/31.70 thf(func_def_793, type, sP151: (num > num > option @ num > $o)).
% 218.24/31.70 thf(func_def_794, type, sK152: nat).
% 218.24/31.70 thf(func_def_795, type, sK153: (vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_796, type, sK154: nat).
% 218.24/31.70 thf(func_def_797, type, sK155: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.70 thf(func_def_798, type, sK156: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_799, type, sK157: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 218.24/31.70 thf(func_def_800, type, sK158: !>[X0: $tType]:((nat > list @ X0))).
% 218.24/31.70 thf(func_def_801, type, sK159: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 218.24/31.70 thf(func_def_802, type, sK160: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 218.24/31.70 thf(func_def_803, type, sK161: !>[X0: $tType]:((X0 > list @ X0 > X0))).
% 218.24/31.70 thf(func_def_804, type, sK162: !>[X0: $tType]:((X0 > list @ X0 > X0))).
% 218.24/31.70 thf(func_def_805, type, sK163: !>[X0: $tType]:(((X0 > $o) > list @ X0 > nat))).
% 218.24/31.70 thf(func_def_806, type, sK164: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.70 thf(func_def_807, type, sK165: (nat > (nat > $o) > nat)).
% 218.24/31.70 thf(func_def_808, type, sK166: (nat > nat)).
% 218.24/31.70 thf(func_def_809, type, sK167: (nat > nat)).
% 218.24/31.70 thf(func_def_810, type, sK168: (nat > nat > nat)).
% 218.24/31.70 thf(func_def_811, type, sK169: (nat > nat > nat)).
% 218.24/31.70 thf(func_def_812, type, sK170: !>[X0: $tType]:((X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_813, type, sK171: (nat > nat)).
% 218.24/31.70 thf(func_def_814, type, sK172: ((nat > $o) > nat)).
% 218.24/31.70 thf(func_def_815, type, sK173: ((nat > nat > $o) > nat)).
% 218.24/31.70 thf(func_def_816, type, sK174: ((nat > nat > $o) > nat)).
% 218.24/31.70 thf(func_def_817, type, sK175: ((nat > nat > $o) > nat)).
% 218.24/31.70 thf(func_def_818, type, sK176: ((nat > nat > $o) > nat)).
% 218.24/31.70 thf(func_def_819, type, sK177: ((nat > $o) > nat)).
% 218.24/31.70 thf(func_def_820, type, sK178: (nat > nat)).
% 218.24/31.70 thf(func_def_821, type, sK179: (nat > nat > nat)).
% 218.24/31.70 thf(func_def_822, type, sK180: (nat > nat > nat)).
% 218.24/31.70 thf(func_def_823, type, sK181: ((nat > nat > $o) > nat)).
% 218.24/31.70 thf(func_def_824, type, sK182: ((nat > nat > $o) > nat)).
% 218.24/31.70 thf(func_def_825, type, sK183: ((nat > nat > $o) > nat)).
% 218.24/31.70 thf(func_def_826, type, sK184: ((nat > nat > $o) > nat)).
% 218.24/31.70 thf(func_def_827, type, sK185: ((nat > $o) > nat > nat)).
% 218.24/31.70 thf(func_def_828, type, sK186: ((nat > $o) > nat > nat)).
% 218.24/31.70 thf(func_def_829, type, sK187: (nat > nat)).
% 218.24/31.70 thf(func_def_830, type, sK188: ((nat > $o) > nat)).
% 218.24/31.70 thf(func_def_831, type, sK189: ((nat > $o) > nat > nat)).
% 218.24/31.70 thf(func_def_832, type, sK190: ((nat > nat > $o) > nat)).
% 218.24/31.70 thf(func_def_833, type, sK191: ((nat > nat > $o) > nat)).
% 218.24/31.70 thf(func_def_834, type, sK192: ((nat > nat > $o) > nat)).
% 218.24/31.70 thf(func_def_835, type, sK193: ((nat > nat > $o) > nat)).
% 218.24/31.70 thf(func_def_836, type, sK194: ((nat > nat > $o) > nat)).
% 218.24/31.70 thf(func_def_837, type, sK195: (nat > nat > nat)).
% 218.24/31.70 thf(func_def_838, type, sK196: !>[X0: $tType]:((X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_839, type, sK197: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.70 thf(func_def_840, type, sK198: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.70 thf(func_def_841, type, sK199: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.70 thf(func_def_842, type, sK200: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.70 thf(func_def_843, type, sK201: (nat > nat)).
% 218.24/31.70 thf(func_def_844, type, sK202: (nat > nat > nat)).
% 218.24/31.70 thf(func_def_845, type, sK203: ((nat > $o) > nat > nat > nat)).
% 218.24/31.70 thf(func_def_846, type, sK204: ((nat > $o) > nat > nat > nat)).
% 218.24/31.70 thf(func_def_847, type, sK205: ((nat > nat) > nat)).
% 218.24/31.70 thf(func_def_848, type, sK206: ((nat > nat) > nat)).
% 218.24/31.70 thf(func_def_849, type, sK207: (nat > (nat > $o) > nat)).
% 218.24/31.70 thf(func_def_850, type, sK208: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_851, type, sK209: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_852, type, sK210: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_853, type, sK211: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_854, type, sK212: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 218.24/31.70 thf(func_def_855, type, sK213: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 218.24/31.70 thf(func_def_856, type, sK214: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 218.24/31.70 thf(func_def_857, type, sK215: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 218.24/31.70 thf(func_def_858, type, sK216: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 218.24/31.70 thf(func_def_859, type, sK217: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 218.24/31.70 thf(func_def_860, type, sK218: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 218.24/31.70 thf(func_def_861, type, sK219: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 218.24/31.70 thf(func_def_862, type, sK220: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 218.24/31.70 thf(func_def_863, type, sK221: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_864, type, sK222: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_865, type, sK223: !>[X0: $tType]:((X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_866, type, sK224: !>[X0: $tType]:(((X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_867, type, sK225: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_868, type, sK226: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_869, type, sK227: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_870, type, sK228: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_871, type, sK229: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_872, type, sK230: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 218.24/31.70 thf(func_def_873, type, sK231: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 218.24/31.70 thf(func_def_874, type, sK232: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 218.24/31.70 thf(func_def_875, type, sK233: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 218.24/31.70 thf(func_def_876, type, sK234: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 218.24/31.70 thf(func_def_877, type, sK235: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 218.24/31.70 thf(func_def_878, type, sK236: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 218.24/31.70 thf(func_def_879, type, sK237: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 218.24/31.70 thf(func_def_880, type, sK238: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 218.24/31.70 thf(func_def_881, type, sK239: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 218.24/31.70 thf(func_def_882, type, sK240: ((nat > $o) > nat)).
% 218.24/31.70 thf(func_def_883, type, sK241: ((nat > $o) > nat)).
% 218.24/31.70 thf(func_def_884, type, sK242: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_885, type, sK243: ((nat > $o) > nat)).
% 218.24/31.70 thf(func_def_886, type, sK244: (nat > (nat > $o) > nat)).
% 218.24/31.70 thf(func_def_887, type, sK245: !>[X0: $tType]:((X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_888, type, sK246: !>[X0: $tType]:((X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_889, type, sK247: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_890, type, sK248: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_891, type, sK249: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 218.24/31.70 thf(func_def_892, type, sK250: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 218.24/31.70 thf(func_def_893, type, sK251: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 218.24/31.70 thf(func_def_894, type, sK252: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 218.24/31.70 thf(func_def_895, type, sK253: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 218.24/31.70 thf(func_def_896, type, sK254: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 218.24/31.70 thf(func_def_897, type, sK255: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 218.24/31.70 thf(func_def_898, type, sK256: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 218.24/31.70 thf(func_def_899, type, sK257: ((nat > $o) > nat)).
% 218.24/31.70 thf(func_def_900, type, sK258: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 218.24/31.70 thf(func_def_901, type, sK259: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 218.24/31.70 thf(func_def_902, type, sK260: ((nat > nat) > nat)).
% 218.24/31.70 thf(func_def_903, type, sK261: ((nat > nat) > nat)).
% 218.24/31.70 thf(func_def_904, type, sK262: !>[X0: $tType]:((X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_905, type, sK263: !>[X0: $tType]:((nat > (X0 > nat) > X0 > (X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_906, type, sK264: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_907, type, sK265: (nat > vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_908, type, sK266: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_909, type, sK267: (nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_910, type, sK268: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 218.24/31.70 thf(func_def_911, type, sK269: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_912, type, sK270: !>[X0: $tType, X1: $tType]:(((option @ X1 > option @ X0 > $o) > option @ X1 > option @ X0 > X1))).
% 218.24/31.70 thf(func_def_913, type, sK271: !>[X0: $tType, X1: $tType]:(((option @ X1 > option @ X0 > $o) > option @ X1 > option @ X0 > X0))).
% 218.24/31.70 thf(func_def_914, type, sK272: !>[X0: $tType]:((option @ X0 > X0))).
% 218.24/31.70 thf(func_def_915, type, sK273: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_916, type, sK274: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_917, type, sK275: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.70 thf(func_def_918, type, sK276: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_919, type, sK277: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_920, type, sK278: !>[X0: $tType]:((nat > (X0 > nat) > (X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_921, type, sK279: ((nat > nat > $o) > nat)).
% 218.24/31.70 thf(func_def_922, type, sK280: ((nat > nat > $o) > nat)).
% 218.24/31.70 thf(func_def_923, type, sK281: ((nat > nat > $o) > nat)).
% 218.24/31.70 thf(func_def_924, type, sK282: ((nat > nat > $o) > nat)).
% 218.24/31.70 thf(func_def_925, type, sK283: ((nat > nat > $o) > nat)).
% 218.24/31.70 thf(func_def_926, type, sK284: !>[X0: $tType]:((product_prod @ (X0 > X0 > X0) @ product_prod @ option @ X0 @ option @ X0 > X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_927, type, sK285: !>[X0: $tType]:((product_prod @ (X0 > X0 > X0) @ product_prod @ option @ X0 @ option @ X0 > X0))).
% 218.24/31.70 thf(func_def_928, type, sK286: !>[X0: $tType]:((product_prod @ (X0 > X0 > X0) @ product_prod @ option @ X0 @ option @ X0 > X0))).
% 218.24/31.70 thf(func_def_929, type, sK287: !>[X0: $tType]:((product_prod @ (X0 > X0 > X0) @ product_prod @ option @ X0 @ option @ X0 > X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_930, type, sK288: !>[X0: $tType]:((product_prod @ (X0 > X0 > X0) @ product_prod @ option @ X0 @ option @ X0 > X0))).
% 218.24/31.70 thf(func_def_931, type, sK289: !>[X0: $tType]:((product_prod @ (X0 > X0 > X0) @ product_prod @ option @ X0 @ option @ X0 > X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_932, type, sK290: !>[X0: $tType]:((product_prod @ (X0 > X0 > X0) @ product_prod @ option @ X0 @ option @ X0 > option @ X0))).
% 218.24/31.70 thf(func_def_933, type, sK291: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ option @ X0 @ option @ X0 > X0 > X0 > $o))).
% 218.24/31.70 thf(func_def_934, type, sK292: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ option @ X0 @ option @ X0 > X0))).
% 218.24/31.70 thf(func_def_935, type, sK293: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ option @ X0 @ option @ X0 > X0))).
% 218.24/31.70 thf(func_def_936, type, sK294: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ option @ X0 @ option @ X0 > X0 > X0 > $o))).
% 218.24/31.70 thf(func_def_937, type, sK295: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ option @ X0 @ option @ X0 > X0))).
% 218.24/31.70 thf(func_def_938, type, sK296: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ option @ X0 @ option @ X0 > X0 > X0 > $o))).
% 218.24/31.70 thf(func_def_939, type, sK297: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ option @ X0 @ option @ X0 > option @ X0))).
% 218.24/31.70 thf(func_def_940, type, sK298: !>[X0: $tType]:((set @ X0 > list @ X0))).
% 218.24/31.70 thf(func_def_941, type, sK299: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.70 thf(func_def_942, type, sK300: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.70 thf(func_def_943, type, sK301: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 218.24/31.70 thf(func_def_944, type, sK302: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 218.24/31.70 thf(func_def_945, type, sK303: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 218.24/31.70 thf(func_def_946, type, sK304: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 218.24/31.70 thf(func_def_947, type, sK305: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 218.24/31.70 thf(func_def_948, type, sK306: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_949, type, sK307: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X0))).
% 218.24/31.70 thf(func_def_950, type, sK308: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X1))).
% 218.24/31.70 thf(func_def_951, type, sK309: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X2))).
% 218.24/31.70 thf(func_def_952, type, sK310: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X0))).
% 218.24/31.70 thf(func_def_953, type, sK311: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X1))).
% 218.24/31.70 thf(func_def_954, type, sK312: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X2))).
% 218.24/31.70 thf(func_def_955, type, sK313: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X3))).
% 218.24/31.70 thf(func_def_956, type, sK314: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X0))).
% 218.24/31.70 thf(func_def_957, type, sK315: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X1))).
% 218.24/31.70 thf(func_def_958, type, sK316: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X2))).
% 218.24/31.70 thf(func_def_959, type, sK317: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X3))).
% 218.24/31.70 thf(func_def_960, type, sK318: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X4))).
% 218.24/31.70 thf(func_def_961, type, sK319: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X0))).
% 218.24/31.70 thf(func_def_962, type, sK320: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X1))).
% 218.24/31.70 thf(func_def_963, type, sK321: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X2))).
% 218.24/31.70 thf(func_def_964, type, sK322: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X3))).
% 218.24/31.70 thf(func_def_965, type, sK323: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X4))).
% 218.24/31.70 thf(func_def_966, type, sK324: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X5))).
% 218.24/31.70 thf(func_def_967, type, sK325: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X0))).
% 218.24/31.70 thf(func_def_968, type, sK326: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X1))).
% 218.24/31.70 thf(func_def_969, type, sK327: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X2))).
% 218.24/31.70 thf(func_def_970, type, sK328: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X3))).
% 218.24/31.70 thf(func_def_971, type, sK329: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X4))).
% 218.24/31.70 thf(func_def_972, type, sK330: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X5))).
% 218.24/31.70 thf(func_def_973, type, sK331: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X6))).
% 218.24/31.70 thf(func_def_974, type, sK332: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 218.24/31.70 thf(func_def_975, type, sK333: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 218.24/31.70 thf(func_def_976, type, sK334: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_977, type, sK335: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 218.24/31.70 thf(func_def_978, type, sK336: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 218.24/31.70 thf(func_def_979, type, sK337: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 218.24/31.70 thf(func_def_980, type, sK338: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_981, type, sK339: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4))).
% 218.24/31.70 thf(func_def_982, type, sK340: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 218.24/31.70 thf(func_def_983, type, sK341: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 218.24/31.70 thf(func_def_984, type, sK342: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 218.24/31.70 thf(func_def_985, type, sK343: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_986, type, sK344: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X5))).
% 218.24/31.70 thf(func_def_987, type, sK345: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4))).
% 218.24/31.70 thf(func_def_988, type, sK346: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 218.24/31.70 thf(func_def_989, type, sK347: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 218.24/31.70 thf(func_def_990, type, sK348: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 218.24/31.70 thf(func_def_991, type, sK349: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_992, type, sK350: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X6))).
% 218.24/31.70 thf(func_def_993, type, sK351: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X5))).
% 218.24/31.70 thf(func_def_994, type, sK352: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4))).
% 218.24/31.70 thf(func_def_995, type, sK353: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 218.24/31.70 thf(func_def_996, type, sK354: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 218.24/31.70 thf(func_def_997, type, sK355: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 218.24/31.70 thf(func_def_998, type, sK356: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_999, type, sK357: !>[X0: $tType]:((option @ X0 > X0))).
% 218.24/31.70 thf(func_def_1000, type, sK358: !>[X0: $tType]:((option @ X0 > option @ X0 > option @ X0 > (X0 > X0 > X0) > X0))).
% 218.24/31.70 thf(func_def_1001, type, sK359: !>[X0: $tType]:((option @ X0 > option @ X0 > option @ X0 > (X0 > X0 > X0) > X0))).
% 218.24/31.70 thf(func_def_1002, type, sK360: (nat > nat)).
% 218.24/31.70 thf(func_def_1003, type, sK361: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.70 thf(func_def_1004, type, sK362: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.70 thf(func_def_1005, type, sK363: (set @ nat > nat > nat)).
% 218.24/31.70 thf(func_def_1006, type, sK364: (nat > set @ nat > nat)).
% 218.24/31.70 thf(func_def_1007, type, sK365: !>[X0: $tType]:((set @ list @ X0 > nat))).
% 218.24/31.70 thf(func_def_1008, type, sK366: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > set @ product_prod @ X1 @ X0 > X1))).
% 218.24/31.70 thf(func_def_1009, type, sK367: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > set @ product_prod @ X1 @ X0 > X0))).
% 218.24/31.70 thf(func_def_1010, type, sK368: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > set @ X1 > X1 > X0))).
% 218.24/31.70 thf(func_def_1011, type, sK369: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > set @ X1 > X1))).
% 218.24/31.70 thf(func_def_1012, type, sK370: ((nat > $o) > nat)).
% 218.24/31.70 thf(func_def_1013, type, sK371: (nat > (nat > $o) > nat)).
% 218.24/31.70 thf(func_def_1014, type, sK372: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > nat > X0 > X0))).
% 218.24/31.70 thf(func_def_1015, type, sK373: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > nat))).
% 218.24/31.70 thf(func_def_1016, type, sK374: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > nat))).
% 218.24/31.70 thf(func_def_1017, type, sK375: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > X0))).
% 218.24/31.70 thf(func_def_1018, type, sK376: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.70 thf(func_def_1019, type, sK377: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.70 thf(func_def_1020, type, sK378: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0))).
% 218.24/31.70 thf(func_def_1021, type, sK379: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_1022, type, sK380: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_1023, type, sK381: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_1024, type, sK382: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_1025, type, sK383: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 218.24/31.70 thf(func_def_1026, type, sK384: ((nat > $o) > nat > nat)).
% 218.24/31.70 thf(func_def_1027, type, sK385: ((nat > $o) > nat > nat)).
% 218.24/31.70 thf(func_def_1028, type, sK386: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.70 thf(func_def_1029, type, sK387: ((nat > $o) > nat)).
% 218.24/31.70 thf(func_def_1030, type, sK388: !>[X0: $tType]:(((nat > X0 > X0 > $o) > (nat > X0 > $o) > nat > X0))).
% 218.24/31.70 thf(func_def_1031, type, sK389: !>[X0: $tType]:(((nat > X0 > X0 > $o) > (nat > X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_1032, type, sK390: !>[X0: $tType]:(((nat > X0 > X0 > $o) > (nat > X0 > $o) > nat))).
% 218.24/31.70 thf(func_def_1033, type, sK391: (nat > nat)).
% 218.24/31.70 thf(func_def_1034, type, sK392: !>[X0: $tType]:((X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_1035, type, sK393: (product_prod @ nat @ nat > nat)).
% 218.24/31.70 thf(func_def_1036, type, sK394: (product_prod @ nat @ nat > nat)).
% 218.24/31.70 thf(func_def_1037, type, sK395: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_1038, type, sK396: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_1039, type, sK397: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_1040, type, sK398: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_1041, type, sK399: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_1042, type, sK400: !>[X0: $tType]:((X0 > (X0 > $o) > X0 > X0))).
% 218.24/31.70 thf(func_def_1043, type, sK401: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > list @ X0 > X0))).
% 218.24/31.70 thf(func_def_1044, type, sK402: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_1045, type, sK403: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_1046, type, sK404: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_1047, type, sK405: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_1048, type, sK406: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_1049, type, sK407: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_1050, type, sK408: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_1051, type, sK409: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_1052, type, sK410: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_1053, type, sK411: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_1054, type, sK412: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_1055, type, sK413: !>[X0: $tType, X1: $tType]:((X1 > X0))).
% 218.24/31.70 thf(func_def_1056, type, sK414: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_1057, type, sK415: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_1058, type, sK416: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_1059, type, sK417: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_1060, type, sK418: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_1061, type, sK419: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_1062, type, sK420: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_1063, type, sK421: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_1064, type, sK422: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_1065, type, sK423: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_1066, type, sK424: !>[X0: $tType, X1: $tType]:((X1 > X0))).
% 218.24/31.70 thf(func_def_1067, type, sK425: (product_prod @ vEBT_VEBT @ nat > nat)).
% 218.24/31.70 thf(func_def_1068, type, sK426: (product_prod @ vEBT_VEBT @ nat > nat)).
% 218.24/31.70 thf(func_def_1069, type, sK427: (product_prod @ vEBT_VEBT @ nat > nat)).
% 218.24/31.70 thf(func_def_1070, type, sK428: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1071, type, sK429: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1072, type, sK430: (product_prod @ vEBT_VEBT @ nat > nat)).
% 218.24/31.70 thf(func_def_1073, type, sK431: (product_prod @ vEBT_VEBT @ nat > product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_1074, type, sK432: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1075, type, sK433: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1076, type, sK434: (product_prod @ vEBT_VEBT @ nat > nat)).
% 218.24/31.70 thf(func_def_1077, type, sK435: (product_prod @ vEBT_VEBT @ nat > product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_1078, type, sK436: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1079, type, sK437: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1080, type, sK438: (product_prod @ vEBT_VEBT @ nat > nat)).
% 218.24/31.70 thf(func_def_1081, type, sK439: (product_prod @ vEBT_VEBT @ nat > nat)).
% 218.24/31.70 thf(func_def_1082, type, sK440: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1083, type, sK441: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1084, type, sK442: (product_prod @ vEBT_VEBT @ nat > nat)).
% 218.24/31.70 thf(func_def_1085, type, sK443: (product_prod @ vEBT_VEBT @ nat > $o)).
% 218.24/31.70 thf(func_def_1086, type, sK444: (product_prod @ vEBT_VEBT @ nat > $o)).
% 218.24/31.70 thf(func_def_1087, type, sK445: (product_prod @ vEBT_VEBT @ nat > nat)).
% 218.24/31.70 thf(func_def_1088, type, sK446: (product_prod @ vEBT_VEBT @ nat > nat)).
% 218.24/31.70 thf(func_def_1089, type, sK447: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1090, type, sK448: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1091, type, sK449: (product_prod @ vEBT_VEBT @ nat > nat)).
% 218.24/31.70 thf(func_def_1092, type, sK450: (product_prod @ vEBT_VEBT @ nat > nat)).
% 218.24/31.70 thf(func_def_1093, type, sK451: (product_prod @ vEBT_VEBT @ nat > nat)).
% 218.24/31.70 thf(func_def_1094, type, sK452: (product_prod @ vEBT_VEBT @ nat > nat)).
% 218.24/31.70 thf(func_def_1095, type, sK453: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1096, type, sK454: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1097, type, sK455: (product_prod @ vEBT_VEBT @ nat > nat)).
% 218.24/31.70 thf(func_def_1098, type, sK456: (product_prod @ vEBT_VEBT @ nat > nat)).
% 218.24/31.70 thf(func_def_1099, type, sK457: (product_prod @ vEBT_VEBT @ nat > nat)).
% 218.24/31.70 thf(func_def_1100, type, sK458: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1101, type, sK459: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1102, type, sK460: (product_prod @ vEBT_VEBT @ nat > nat)).
% 218.24/31.70 thf(func_def_1103, type, sK461: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1104, type, sK462: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1105, type, sK463: (product_prod @ vEBT_VEBT @ nat > nat)).
% 218.24/31.70 thf(func_def_1106, type, sK464: (product_prod @ vEBT_VEBT @ nat > $o)).
% 218.24/31.70 thf(func_def_1107, type, sK465: (product_prod @ vEBT_VEBT @ nat > $o)).
% 218.24/31.70 thf(func_def_1108, type, sK466: (product_prod @ vEBT_VEBT @ nat > nat)).
% 218.24/31.70 thf(func_def_1109, type, sK467: (product_prod @ vEBT_VEBT @ nat > option @ product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_1110, type, sK468: (product_prod @ vEBT_VEBT @ nat > nat)).
% 218.24/31.70 thf(func_def_1111, type, sK469: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1112, type, sK470: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1113, type, sK471: (product_prod @ vEBT_VEBT @ nat > nat)).
% 218.24/31.70 thf(func_def_1114, type, sK472: (product_prod @ vEBT_VEBT @ nat > $o)).
% 218.24/31.70 thf(func_def_1115, type, sK473: (product_prod @ vEBT_VEBT @ nat > $o)).
% 218.24/31.70 thf(func_def_1116, type, sK474: (product_prod @ vEBT_VEBT @ nat > nat)).
% 218.24/31.70 thf(func_def_1117, type, sK475: (vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_1118, type, sK476: (vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_1119, type, sK477: (vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_1120, type, sK478: (vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1121, type, sK479: (vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1122, type, sK480: (vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1123, type, sK481: (list @ vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1124, type, sK482: (list @ vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1125, type, sK483: (vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1126, type, sK484: (nat > list @ vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1127, type, sK485: (list @ vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1128, type, sK486: (list @ vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1129, type, sK487: (vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1130, type, sK488: (nat > list @ vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1131, type, sK489: !>[X0: $tType, X1: $tType]:((X1 > list @ X1 > list @ X0 > X0))).
% 218.24/31.70 thf(func_def_1132, type, sK490: !>[X0: $tType, X1: $tType]:((X0 > list @ X1 > list @ X0 > X1))).
% 218.24/31.70 thf(func_def_1133, type, sK491: (product_prod @ vEBT_VEBT @ nat > option @ product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_1134, type, sK492: (product_prod @ vEBT_VEBT @ nat > nat)).
% 218.24/31.70 thf(func_def_1135, type, sK493: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1136, type, sK494: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1137, type, sK495: (product_prod @ vEBT_VEBT @ nat > nat)).
% 218.24/31.70 thf(func_def_1138, type, sK496: (product_prod @ vEBT_VEBT @ nat > option @ product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_1139, type, sK497: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1140, type, sK498: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1141, type, sK499: (product_prod @ vEBT_VEBT @ nat > nat)).
% 218.24/31.70 thf(func_def_1142, type, sK500: (product_prod @ vEBT_VEBT @ nat > $o)).
% 218.24/31.70 thf(func_def_1143, type, sK501: (product_prod @ vEBT_VEBT @ nat > $o)).
% 218.24/31.70 thf(func_def_1144, type, sK502: (product_prod @ vEBT_VEBT @ nat > nat)).
% 218.24/31.70 thf(func_def_1145, type, sK503: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1146, type, sK504: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1147, type, sK505: (vEBT_VEBT > nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1148, type, sK506: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1149, type, sK507: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1150, type, sK508: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1151, type, sK509: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1152, type, sK510: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1153, type, sK511: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1154, type, sK512: (vEBT_VEBT > nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1155, type, sK513: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1156, type, sK514: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1157, type, sK515: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1158, type, sK516: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1159, type, sK517: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1160, type, sK518: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1161, type, sK519: (vEBT_VEBT > nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1162, type, sK520: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1163, type, sK521: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1164, type, sK522: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1165, type, sK523: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1166, type, sK524: (vEBT_VEBT > nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1167, type, sK525: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1168, type, sK526: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1169, type, sK527: (vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_1170, type, sK528: (vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_1171, type, sK529: (vEBT_VEBT > product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_1172, type, sK530: (vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1173, type, sK531: (vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1174, type, sK532: (vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1175, type, sK533: (vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1176, type, sK534: (vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1177, type, sK535: (vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1178, type, sK536: (vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_1179, type, sK537: (vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_1180, type, sK538: (list @ vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1181, type, sK539: (list @ vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1182, type, sK540: (nat > list @ vEBT_VEBT > nat > nat > nat > nat)).
% 218.24/31.70 thf(func_def_1183, type, sK541: (nat > list @ vEBT_VEBT > nat > nat > nat > nat)).
% 218.24/31.70 thf(func_def_1184, type, sK542: (nat > vEBT_VEBT > list @ vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1185, type, sK543: (nat > list @ vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1186, type, sK544: (vEBT_VEBT > product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_1187, type, sK545: (vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1188, type, sK546: (vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1189, type, sK547: (vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1190, type, sK548: (vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_1191, type, sK549: (vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_1192, type, sK550: (vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1193, type, sK551: (vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1194, type, sK552: (vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1195, type, sK553: (list @ vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1196, type, sK554: (list @ vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1197, type, sK555: (nat > list @ vEBT_VEBT > nat > nat > nat > nat)).
% 218.24/31.70 thf(func_def_1198, type, sK556: (nat > list @ vEBT_VEBT > nat > nat > nat > nat)).
% 218.24/31.70 thf(func_def_1199, type, sK557: (nat > vEBT_VEBT > list @ vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1200, type, sK558: (nat > list @ vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1201, type, sK559: (vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1202, type, sK560: (vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1203, type, sK561: (vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1204, type, sK562: (vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1205, type, sK563: (vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1206, type, sK564: (vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1207, type, sK565: (vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1208, type, sK566: (vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1209, type, sK567: (vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_1210, type, sK568: (vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_1211, type, sK569: (vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_1212, type, sK570: (vEBT_VEBT > product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_1213, type, sK571: (vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1214, type, sK572: (vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1215, type, sK573: (vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1216, type, sK574: (vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1217, type, sK575: (vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1218, type, sK576: (vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1219, type, sK577: (vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_1220, type, sK578: (nat > list @ vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1221, type, sK579: (vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_1222, type, sK580: (vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_1223, type, sK581: (vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_1224, type, sK582: (vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_1225, type, sK583: ((nat > $o) > nat)).
% 218.24/31.70 thf(func_def_1226, type, sK584: (nat > nat > nat)).
% 218.24/31.70 thf(func_def_1227, type, sK585: (nat > nat > nat)).
% 218.24/31.70 thf(func_def_1228, type, sK586: (vEBT_VEBT > option @ nat > $o)).
% 218.24/31.70 thf(func_def_1229, type, sK587: (vEBT_VEBT > option @ nat > $o)).
% 218.24/31.70 thf(func_def_1230, type, sK588: (option @ nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1231, type, sK589: (option @ nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1232, type, sK590: (option @ nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1233, type, sK591: (option @ nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1234, type, sK592: (option @ nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1235, type, sK593: (vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1236, type, sK594: (vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1237, type, sK595: (vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1238, type, sK596: (vEBT_VEBT > option @ nat > $o)).
% 218.24/31.70 thf(func_def_1239, type, sK597: (vEBT_VEBT > option @ nat > $o)).
% 218.24/31.70 thf(func_def_1240, type, sK598: (option @ nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1241, type, sK599: (option @ nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1242, type, sK600: (option @ nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1243, type, sK601: (option @ nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1244, type, sK602: (option @ nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1245, type, sK603: (vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1246, type, sK604: (vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1247, type, sK605: (vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1248, type, sK606: ((nat > $o) > nat)).
% 218.24/31.70 thf(func_def_1249, type, sK607: ((extended_enat > $o) > extended_enat)).
% 218.24/31.70 thf(func_def_1250, type, sK608: !>[X0: $tType]:((X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_1251, type, sK609: ((nat > $o) > nat)).
% 218.24/31.70 thf(func_def_1252, type, sK610: ((nat > $o) > nat)).
% 218.24/31.70 thf(func_def_1253, type, sK611: ((int > $o) > int > int)).
% 218.24/31.70 thf(func_def_1254, type, sK612: ((int > $o) > int > int)).
% 218.24/31.70 thf(func_def_1255, type, sK613: (nat > real > real)).
% 218.24/31.70 thf(func_def_1256, type, sK614: (real > nat > real)).
% 218.24/31.70 thf(func_def_1257, type, sK615: (real > nat > real)).
% 218.24/31.70 thf(func_def_1258, type, sK616: (real > real > nat)).
% 218.24/31.70 thf(func_def_1259, type, sK617: (real > real > nat)).
% 218.24/31.70 thf(func_def_1260, type, sK618: ((int > $o) > int > int)).
% 218.24/31.70 thf(func_def_1261, type, sK619: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_1262, type, sK620: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_1263, type, sK621: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_1264, type, sK622: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_1265, type, sK623: !>[X0: $tType]:((X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_1266, type, sK624: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_1267, type, sK625: !>[X0: $tType]:((X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_1268, type, sK626: !>[X0: $tType]:((X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_1269, type, sK627: !>[X0: $tType]:((X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_1270, type, sK628: !>[X0: $tType]:((X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_1271, type, sK629: (nat > (nat > $o) > nat)).
% 218.24/31.70 thf(func_def_1272, type, sK630: ((nat > nat > $o) > nat)).
% 218.24/31.70 thf(func_def_1273, type, sK631: ((nat > nat > $o) > nat)).
% 218.24/31.70 thf(func_def_1274, type, sK632: ((nat > nat > $o) > nat)).
% 218.24/31.70 thf(func_def_1275, type, sK633: (nat > nat > nat)).
% 218.24/31.70 thf(func_def_1276, type, sK634: (nat > nat > nat)).
% 218.24/31.70 thf(func_def_1277, type, sK635: (nat > nat > nat)).
% 218.24/31.70 thf(func_def_1278, type, sK636: (nat > nat > nat)).
% 218.24/31.70 thf(func_def_1279, type, sK637: (nat > nat > nat > nat)).
% 218.24/31.70 thf(func_def_1280, type, sK638: (nat > nat > nat > nat)).
% 218.24/31.70 thf(func_def_1281, type, sK639: !>[X0: $tType]:((X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_1282, type, sK640: (nat > nat > nat > nat)).
% 218.24/31.70 thf(func_def_1283, type, sK641: (nat > nat > nat > nat)).
% 218.24/31.70 thf(func_def_1284, type, sK642: (nat > nat > nat > nat)).
% 218.24/31.70 thf(func_def_1285, type, sK643: (nat > nat > nat)).
% 218.24/31.70 thf(func_def_1286, type, sK644: (nat > nat > nat)).
% 218.24/31.70 thf(func_def_1287, type, sK645: (nat > nat > nat)).
% 218.24/31.70 thf(func_def_1288, type, sK646: !>[X0: $tType]:((X0 > X0 > X0))).
% 218.24/31.70 thf(func_def_1289, type, sK647: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.70 thf(func_def_1290, type, sK648: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 218.24/31.70 thf(func_def_1291, type, sK649: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 218.24/31.70 thf(func_def_1292, type, sK650: (product_prod @ (product_prod @ int @ (product_unit > code_term) > option @ product_prod @ $o @ list @ code_term) @ product_prod @ int @ int > product_prod @ int @ (product_unit > code_term) > option @ product_prod @ $o @ list @ code_term)).
% 218.24/31.70 thf(func_def_1293, type, sK651: (product_prod @ (product_prod @ int @ (product_unit > code_term) > option @ product_prod @ $o @ list @ code_term) @ product_prod @ int @ int > int)).
% 218.24/31.70 thf(func_def_1294, type, sK652: (product_prod @ (product_prod @ int @ (product_unit > code_term) > option @ product_prod @ $o @ list @ code_term) @ product_prod @ int @ int > int)).
% 218.24/31.70 thf(func_def_1295, type, sK653: (product_prod @ (int > option @ product_prod @ $o @ list @ code_term) @ product_prod @ int @ int > int > option @ product_prod @ $o @ list @ code_term)).
% 218.24/31.70 thf(func_def_1296, type, sK654: (product_prod @ (int > option @ product_prod @ $o @ list @ code_term) @ product_prod @ int @ int > int)).
% 218.24/31.70 thf(func_def_1297, type, sK655: (product_prod @ (int > option @ product_prod @ $o @ list @ code_term) @ product_prod @ int @ int > int)).
% 218.24/31.70 thf(func_def_1298, type, sK656: (product_prod @ int @ int > int)).
% 218.24/31.70 thf(func_def_1299, type, sK657: (product_prod @ int @ int > int)).
% 218.24/31.70 thf(func_def_1300, type, sK658: ((nat > $o) > nat)).
% 218.24/31.70 thf(func_def_1301, type, sK659: (nat > nat > nat)).
% 218.24/31.70 thf(func_def_1302, type, sK660: (nat > nat > nat)).
% 218.24/31.70 thf(func_def_1303, type, sK661: (nat > nat > nat)).
% 218.24/31.70 thf(func_def_1304, type, sK662: !>[X0: $tType]:((set @ X0 > set @ X0))).
% 218.24/31.70 thf(func_def_1305, type, sK663: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.70 thf(func_def_1306, type, sK664: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_1307, type, sK665: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 218.24/31.70 thf(func_def_1308, type, sK666: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_1309, type, sK667: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 218.24/31.70 thf(func_def_1310, type, sK668: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_1311, type, sK669: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_1312, type, sK670: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 218.24/31.70 thf(func_def_1313, type, sK671: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 218.24/31.70 thf(func_def_1314, type, sK672: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (set @ X1 > $o) > X1))).
% 218.24/31.70 thf(func_def_1315, type, sK673: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (set @ X1 > $o) > set @ X1))).
% 218.24/31.70 thf(func_def_1316, type, sK674: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_1317, type, sK675: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 218.24/31.70 thf(func_def_1318, type, sK676: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_1319, type, sK677: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 218.24/31.70 thf(func_def_1320, type, sK678: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > X0))).
% 218.24/31.70 thf(func_def_1321, type, sK679: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0))).
% 218.24/31.70 thf(func_def_1322, type, sK680: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > X0))).
% 218.24/31.70 thf(func_def_1323, type, sK681: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0))).
% 218.24/31.70 thf(func_def_1324, type, sK682: !>[X0: $tType]:(((X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_1325, type, sK683: !>[X0: $tType]:(((X0 > $o) > $o))).
% 218.24/31.70 thf(func_def_1326, type, sK684: !>[X0: $tType]:(((X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_1327, type, sK685: !>[X0: $tType]:(((nat > X0) > (nat > X0) > nat))).
% 218.24/31.70 thf(func_def_1328, type, sK686: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 218.24/31.70 thf(func_def_1329, type, sK687: ((int > $o) > int > int)).
% 218.24/31.70 thf(func_def_1330, type, sK688: ((int > $o) > int > int)).
% 218.24/31.70 thf(func_def_1331, type, sK689: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_1332, type, sK690: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 218.24/31.70 thf(func_def_1333, type, sK691: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 218.24/31.70 thf(func_def_1334, type, sK692: ((int > $o) > int)).
% 218.24/31.70 thf(func_def_1335, type, sK693: (int > (int > $o) > (int > $o) > int)).
% 218.24/31.70 thf(func_def_1336, type, sK694: ((int > $o) > int > int)).
% 218.24/31.70 thf(func_def_1337, type, sK695: ((int > $o) > int > int)).
% 218.24/31.70 thf(func_def_1338, type, sK696: ((int > $o) > int)).
% 218.24/31.70 thf(func_def_1339, type, sK697: (int > (int > $o) > (int > $o) > int)).
% 218.24/31.70 thf(func_def_1340, type, sK698: ((int > $o) > int > int)).
% 218.24/31.70 thf(func_def_1341, type, sK699: ((int > $o) > int > int)).
% 218.24/31.70 thf(func_def_1342, type, sK700: (int > (int > $o) > int)).
% 218.24/31.70 thf(func_def_1343, type, sK701: (int > (int > $o) > int)).
% 218.24/31.70 thf(func_def_1344, type, sK702: !>[X0: $tType]:((set @ X0 > (set @ X0 > $o) > set @ X0))).
% 218.24/31.70 thf(func_def_1345, type, sK703: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0))).
% 218.24/31.70 thf(func_def_1346, type, sK704: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0))).
% 218.24/31.70 thf(func_def_1347, type, sK705: ((int > $o) > int > int)).
% 218.24/31.70 thf(func_def_1348, type, sK706: (real > real > (real > real > $o) > real)).
% 218.24/31.70 thf(func_def_1349, type, sK707: (real > real > real > (real > real > $o) > real)).
% 218.24/31.70 thf(func_def_1350, type, sK708: (real > real > real > (real > real > $o) > real)).
% 218.24/31.70 thf(func_def_1351, type, sK709: ((real > real > $o) > real)).
% 218.24/31.70 thf(func_def_1352, type, sK710: ((real > real > $o) > real)).
% 218.24/31.70 thf(func_def_1353, type, sK711: ((real > real > $o) > real)).
% 218.24/31.70 thf(func_def_1354, type, sK712: (product_prod @ num @ num > num)).
% 218.24/31.70 thf(func_def_1355, type, sK713: (product_prod @ num @ num > num)).
% 218.24/31.70 thf(func_def_1356, type, sK714: (product_prod @ num @ num > num)).
% 218.24/31.70 thf(func_def_1357, type, sK715: (product_prod @ num @ num > num)).
% 218.24/31.70 thf(func_def_1358, type, sK716: (product_prod @ num @ num > num)).
% 218.24/31.70 thf(func_def_1359, type, sK717: (product_prod @ num @ num > num)).
% 218.24/31.70 thf(func_def_1360, type, sK718: (product_prod @ num @ num > num)).
% 218.24/31.70 thf(func_def_1361, type, sK719: (product_prod @ num @ num > num)).
% 218.24/31.70 thf(func_def_1362, type, sK720: (product_prod @ num @ num > num)).
% 218.24/31.70 thf(func_def_1363, type, sK721: (product_prod @ num @ num > num)).
% 218.24/31.70 thf(func_def_1364, type, sK722: (product_prod @ num @ num > num)).
% 218.24/31.70 thf(func_def_1365, type, sK723: (product_prod @ num @ num > num)).
% 218.24/31.70 thf(func_def_1366, type, sK724: ((int > $o) > int > int)).
% 218.24/31.70 thf(func_def_1367, type, sK725: ((int > $o) > int > int)).
% 218.24/31.70 thf(func_def_1368, type, sK726: (int > set @ int > int > int)).
% 218.24/31.70 thf(func_def_1369, type, sK727: (int > set @ int > int > int)).
% 218.24/31.70 thf(func_def_1370, type, sK728: (int > set @ int > int > int)).
% 218.24/31.70 thf(func_def_1371, type, sK729: (int > set @ int > int > int)).
% 218.24/31.70 thf(func_def_1372, type, sK730: (int > set @ int > int > int)).
% 218.24/31.70 thf(func_def_1373, type, sK731: (int > set @ int > int > int)).
% 218.24/31.70 thf(func_def_1374, type, sK732: (int > set @ int > int > int)).
% 218.24/31.70 thf(func_def_1375, type, sK733: (int > set @ int > int > int)).
% 218.24/31.70 thf(func_def_1376, type, sK734: (int > set @ int > int > int)).
% 218.24/31.70 thf(func_def_1377, type, sK735: (int > set @ int > int > int)).
% 218.24/31.70 thf(func_def_1378, type, sK736: (int > set @ int > int > int)).
% 218.24/31.70 thf(func_def_1379, type, sK737: (int > set @ int > int > int)).
% 218.24/31.70 thf(func_def_1380, type, sK738: (int > set @ int > int > int)).
% 218.24/31.70 thf(func_def_1381, type, sK739: (int > set @ int > int > int)).
% 218.24/31.70 thf(func_def_1382, type, sK740: (int > set @ int > int > int)).
% 218.24/31.70 thf(func_def_1383, type, sK741: (int > set @ int > int > int)).
% 218.24/31.70 thf(func_def_1384, type, sK742: (int > set @ int > int > int)).
% 218.24/31.70 thf(func_def_1385, type, sK743: (int > set @ int > int > int)).
% 218.24/31.70 thf(func_def_1386, type, sK744: (int > set @ int > int > int)).
% 218.24/31.70 thf(func_def_1387, type, sK745: (int > set @ int > int > int)).
% 218.24/31.70 thf(func_def_1388, type, sK746: (int > set @ int > int > int)).
% 218.24/31.70 thf(func_def_1389, type, sK747: (int > set @ int > int > int)).
% 218.24/31.70 thf(func_def_1390, type, sK748: (int > set @ int > int > int)).
% 218.24/31.70 thf(func_def_1391, type, sK749: (int > set @ int > int > int)).
% 218.24/31.70 thf(func_def_1392, type, sK750: ((int > $o) > int > int)).
% 218.24/31.70 thf(func_def_1393, type, sK751: ((int > $o) > int > int)).
% 218.24/31.70 thf(func_def_1394, type, sK752: (set @ int > (int > $o) > int > int)).
% 218.24/31.70 thf(func_def_1395, type, sK753: (int > (int > $o) > (int > $o) > int)).
% 218.24/31.70 thf(func_def_1396, type, sK754: ((int > $o) > int > int)).
% 218.24/31.70 thf(func_def_1397, type, sK755: ((int > $o) > int > int)).
% 218.24/31.70 thf(func_def_1398, type, sK756: (set @ int > (int > $o) > int > int)).
% 218.24/31.70 thf(func_def_1399, type, sK757: (int > (int > $o) > (int > $o) > int)).
% 218.24/31.70 thf(func_def_1400, type, sK758: ((int > int > $o) > int)).
% 218.24/31.70 thf(func_def_1401, type, sK759: ((int > int > $o) > int)).
% 218.24/31.70 thf(func_def_1402, type, sK760: ((int > int > $o) > int)).
% 218.24/31.70 thf(func_def_1403, type, sK761: ((int > int > $o) > int)).
% 218.24/31.70 thf(func_def_1404, type, sK762: !>[X0: $tType]:((X0 > X0 > nat))).
% 218.24/31.70 thf(func_def_1405, type, sK763: !>[X0: $tType]:((X0 > int))).
% 218.24/31.70 thf(func_def_1406, type, sK764: !>[X0: $tType]:((X0 > int))).
% 218.24/31.70 thf(func_def_1407, type, sK765: !>[X0: $tType]:((X0 > int))).
% 218.24/31.70 thf(func_def_1408, type, sK766: !>[X0: $tType]:((X0 > int))).
% 218.24/31.70 thf(func_def_1409, type, sK767: !>[X0: $tType]:((X0 > int))).
% 218.24/31.70 thf(func_def_1410, type, sK768: (int > nat)).
% 218.24/31.70 thf(func_def_1411, type, sK769: !>[X0: $tType]:((X0 > nat))).
% 218.24/31.70 thf(func_def_1412, type, sK770: (vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1413, type, sK771: (vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1414, type, sK772: (vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1415, type, sK773: (vEBT_VEBT > nat > $o > $o)).
% 218.24/31.70 thf(func_def_1416, type, sK774: (vEBT_VEBT > nat > $o > $o)).
% 218.24/31.70 thf(func_def_1417, type, sK775: ($o > nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1418, type, sK776: ($o > nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1419, type, sK777: ($o > nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1420, type, sK778: ($o > nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1421, type, sK779: ($o > nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1422, type, sK780: (vEBT_VEBT > product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_1423, type, sK781: (vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1424, type, sK782: (vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1425, type, sK783: (vEBT_VEBT > product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_1426, type, sK784: (vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1427, type, sK785: (vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1428, type, sK786: !>[X0: $tType]:(((X0 > $o) > X0))).
% 218.24/31.70 thf(func_def_1429, type, sK787: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > set @ X0 > set @ X1 > X0))).
% 218.24/31.70 thf(func_def_1430, type, sK788: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > set @ X0 > set @ X1 > X1))).
% 218.24/31.70 thf(func_def_1431, type, sK789: ((nat > nat) > nat)).
% 218.24/31.70 thf(func_def_1432, type, sK790: (nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1433, type, sK791: ($o > nat > vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_1434, type, sK792: ($o > nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1435, type, sK793: ($o > nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1436, type, sK794: ($o > nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1437, type, sK795: (vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_1438, type, sK796: (vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1439, type, sK797: (vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1440, type, sK798: ($o > nat > vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_1441, type, sK799: ($o > nat > vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_1442, type, sK800: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_1443, type, sK801: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_1444, type, sK802: (nat > vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_1445, type, sK803: (nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1446, type, sK804: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1447, type, sK805: (nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1448, type, sK806: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_1449, type, sK807: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_1450, type, sK808: (nat > vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_1451, type, sK809: (nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1452, type, sK810: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1453, type, sK811: (nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1454, type, sK812: (vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_1455, type, sK813: (vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1456, type, sK814: (vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1457, type, sK815: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1458, type, sK816: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1459, type, sK817: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1460, type, sK818: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1461, type, sK819: (vEBT_VEBT > nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1462, type, sK820: (nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1463, type, sK821: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1464, type, sK822: (nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1465, type, sK823: (nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1466, type, sK824: (nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1467, type, sK825: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1468, type, sK826: (nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1469, type, sK827: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1470, type, sK828: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1471, type, sK829: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1472, type, sK830: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1473, type, sK831: (vEBT_VEBT > nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1474, type, sK832: (nat > vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_1475, type, sK833: (nat > vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_1476, type, sK834: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1477, type, sK835: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1478, type, sK836: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1479, type, sK837: (vEBT_VEBT > nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1480, type, sK838: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1481, type, sK839: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1482, type, sK840: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1483, type, sK841: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1484, type, sK842: (vEBT_VEBT > nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1485, type, sK843: (nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1486, type, sK844: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1487, type, sK845: (nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1488, type, sK846: (vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1489, type, sK847: (vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1490, type, sK848: (vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_1491, type, sK849: (vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_1492, type, sK850: (vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1493, type, sK851: (vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1494, type, sK852: (vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_1495, type, sK853: (vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_1496, type, sK854: ($o > nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1497, type, sK855: ($o > nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1498, type, sK856: ($o > nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1499, type, sK857: ($o > nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1500, type, sK858: ($o > nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1501, type, sK859: ($o > nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1502, type, sK860: ($o > nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1503, type, sK861: ($o > nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1504, type, sK862: ($o > nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1505, type, sK863: ($o > nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1506, type, sK864: ($o > nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1507, type, sK865: ($o > nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1508, type, sK866: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_1509, type, sK867: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_1510, type, sK868: (nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1511, type, sK869: (nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1512, type, sK870: (nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1513, type, sK871: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1514, type, sK872: (nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1515, type, sK873: (vEBT_VEBT > product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_1516, type, sK874: (vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1517, type, sK875: (vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1518, type, sK876: (vEBT_VEBT > product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_1519, type, sK877: (vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1520, type, sK878: (vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1521, type, sK879: (vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1522, type, sK880: (vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1523, type, sK881: (vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1524, type, sK882: (vEBT_VEBT > $o > nat > product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_1525, type, sK883: (vEBT_VEBT > $o > nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1526, type, sK884: (vEBT_VEBT > $o > nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1527, type, sK885: (vEBT_VEBT > $o > nat > product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_1528, type, sK886: (vEBT_VEBT > $o > nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1529, type, sK887: (vEBT_VEBT > $o > nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1530, type, sK888: (vEBT_VEBT > $o > nat > nat)).
% 218.24/31.70 thf(func_def_1531, type, sK889: (vEBT_VEBT > $o > nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1532, type, sK890: (vEBT_VEBT > $o > nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1533, type, sK891: (vEBT_VEBT > $o > nat > $o)).
% 218.24/31.70 thf(func_def_1534, type, sK892: (vEBT_VEBT > $o > nat > $o)).
% 218.24/31.70 thf(func_def_1535, type, sK893: ($o > nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1536, type, sK894: ($o > nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1537, type, sK895: ($o > nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1538, type, sK896: ($o > nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1539, type, sK897: ($o > nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1540, type, sK898: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1541, type, sK899: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1542, type, sK900: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1543, type, sK901: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1544, type, sK902: (vEBT_VEBT > nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1545, type, sK903: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_1546, type, sK904: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_1547, type, sK905: (nat > vEBT_VEBT > product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_1548, type, sK906: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1549, type, sK907: (nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1550, type, sK908: (nat > vEBT_VEBT > product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_1551, type, sK909: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1552, type, sK910: (nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1553, type, sK911: (nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1554, type, sK912: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1555, type, sK913: (nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1556, type, sK914: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1557, type, sK915: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1558, type, sK916: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1559, type, sK917: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1560, type, sK918: (vEBT_VEBT > nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1561, type, sK919: (nat > vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_1562, type, sK920: (nat > vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_1563, type, sK921: (vEBT_VEBT > $o > nat > option @ product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_1564, type, sK922: (vEBT_VEBT > $o > nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1565, type, sK923: (vEBT_VEBT > $o > nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1566, type, sK924: (vEBT_VEBT > $o > nat > $o)).
% 218.24/31.70 thf(func_def_1567, type, sK925: (vEBT_VEBT > $o > nat > $o)).
% 218.24/31.70 thf(func_def_1568, type, sK926: ($o > nat > vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_1569, type, sK927: ($o > nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1570, type, sK928: ($o > nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1571, type, sK929: ($o > nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1572, type, sK930: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_1573, type, sK931: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_1574, type, sK932: (nat > vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_1575, type, sK933: (nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1576, type, sK934: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1577, type, sK935: (nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1578, type, sK936: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_1579, type, sK937: (vEBT_VEBT > nat > $o)).
% 218.24/31.70 thf(func_def_1580, type, sK938: (nat > vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_1581, type, sK939: (nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1582, type, sK940: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1583, type, sK941: (nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1584, type, sK942: (nat > vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 218.24/31.70 thf(func_def_1585, type, sK943: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1586, type, sK944: (nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1587, type, sK945: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1588, type, sK946: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1589, type, sK947: (vEBT_VEBT > nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1590, type, sK948: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1591, type, sK949: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1592, type, sK950: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1593, type, sK951: (vEBT_VEBT > nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1594, type, sK952: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1595, type, sK953: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1596, type, sK954: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1597, type, sK955: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1598, type, sK956: (vEBT_VEBT > nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1599, type, sK957: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1600, type, sK958: (nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1601, type, sK959: (nat > vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_1602, type, sK960: (nat > vEBT_VEBT > $o)).
% 218.24/31.70 thf(func_def_1603, type, sK961: (vEBT_VEBT > $o > nat > nat)).
% 218.24/31.70 thf(func_def_1604, type, sK962: (vEBT_VEBT > $o > nat > nat)).
% 218.24/31.70 thf(func_def_1605, type, sK963: (vEBT_VEBT > $o > nat > nat)).
% 218.24/31.70 thf(func_def_1606, type, sK964: (vEBT_VEBT > $o > nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1607, type, sK965: (vEBT_VEBT > $o > nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1608, type, sK966: (vEBT_VEBT > $o > nat > nat)).
% 218.24/31.70 thf(func_def_1609, type, sK967: (vEBT_VEBT > $o > nat > nat)).
% 218.24/31.70 thf(func_def_1610, type, sK968: (vEBT_VEBT > $o > nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1611, type, sK969: (vEBT_VEBT > $o > nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1612, type, sK970: (vEBT_VEBT > $o > nat > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1613, type, sK971: (vEBT_VEBT > $o > nat > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1614, type, sK972: (vEBT_VEBT > $o > nat > $o)).
% 218.24/31.70 thf(func_def_1615, type, sK973: (vEBT_VEBT > $o > nat > $o)).
% 218.24/31.70 thf(func_def_1616, type, sK974: ($o > nat > vEBT_VEBT > nat)).
% 218.24/31.70 thf(func_def_1617, type, sK975: ($o > nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1618, type, sK976: ($o > nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.70 thf(func_def_1619, type, sK977: (vEBT_VEBT > nat > nat)).
% 218.24/31.70 thf(func_def_1620, type, sK978: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 218.24/31.71 thf(func_def_1621, type, sK979: (vEBT_VEBT > nat > vEBT_VEBT)).
% 218.24/31.71 thf(func_def_1622, type, sK980: (vEBT_VEBT > nat > nat)).
% 218.24/31.71 thf(func_def_1623, type, sK981: (vEBT_VEBT > nat > nat)).
% 218.24/31.71 thf(func_def_1624, type, sK982: (vEBT_VEBT > nat > nat)).
% 218.24/31.71 thf(func_def_1625, type, sK983: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 218.24/31.71 thf(func_def_1626, type, sK984: (vEBT_VEBT > nat > vEBT_VEBT)).
% 218.24/31.71 thf(func_def_1627, type, sK985: (nat > vEBT_VEBT > nat)).
% 218.24/31.71 thf(func_def_1628, type, sK986: (nat > vEBT_VEBT > nat)).
% 218.24/31.71 thf(func_def_1629, type, sK987: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.71 thf(func_def_1630, type, sK988: (nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.71 thf(func_def_1631, type, sK989: (nat > vEBT_VEBT > nat)).
% 218.24/31.71 thf(func_def_1632, type, sK990: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > X0) > (X2 > X1 > X0) > product_prod @ X2 @ X1 > X2))).
% 218.24/31.71 thf(func_def_1633, type, sK991: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > X0) > (X2 > X1 > X0) > product_prod @ X2 @ X1 > X1))).
% 218.24/31.71 thf(func_def_1634, type, sK992: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ X1 > X0) > (X2 > X1 > X0) > X2))).
% 218.24/31.71 thf(func_def_1635, type, sK993: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ X1 > X0) > (X2 > X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_1636, type, sK994: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X2 > (X0 > X2 > X1) > (X1 > $o) > X0))).
% 218.24/31.71 thf(func_def_1637, type, sK995: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X2 > (X0 > X2 > X1) > (X1 > $o) > X2))).
% 218.24/31.71 thf(func_def_1638, type, sK996: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > product_prod @ X1 @ X0 > X1))).
% 218.24/31.71 thf(func_def_1639, type, sK997: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > product_prod @ X1 @ X0 > X0))).
% 218.24/31.71 thf(func_def_1640, type, sK998: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > set @ X0) > X0 > product_prod @ X2 @ X1 > X2))).
% 218.24/31.71 thf(func_def_1641, type, sK999: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > set @ X0) > X0 > product_prod @ X2 @ X1 > X1))).
% 218.24/31.71 thf(func_def_1642, type, sK1000: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X0 > X1 > X2 > $o) > product_prod @ X0 @ X1 > X0))).
% 218.24/31.71 thf(func_def_1643, type, sK1001: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X0 > X1 > X2 > $o) > product_prod @ X0 @ X1 > X1))).
% 218.24/31.71 thf(func_def_1644, type, sK1002: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X0))).
% 218.24/31.71 thf(func_def_1645, type, sK1003: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1646, type, sK1004: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X2 > (X0 > X2 > set @ X1) > X1 > X0))).
% 218.24/31.71 thf(func_def_1647, type, sK1005: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X2 > (X0 > X2 > set @ X1) > X1 > X2))).
% 218.24/31.71 thf(func_def_1648, type, sK1006: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > (X0 > X1 > $o) > X0))).
% 218.24/31.71 thf(func_def_1649, type, sK1007: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > (X0 > X1 > $o) > X1))).
% 218.24/31.71 thf(func_def_1650, type, sK1008: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1651, type, sK1009: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > product_prod @ X1 @ X0 > (X1 > X0 > X2 > $o) > X1))).
% 218.24/31.71 thf(func_def_1652, type, sK1010: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > product_prod @ X1 @ X0 > (X1 > X0 > X2 > $o) > X0))).
% 218.24/31.71 thf(func_def_1653, type, sK1011: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1654, type, sK1012: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1655, type, sK1013: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_1656, type, sK1014: !>[X0: $tType]:(((nat > X0) > (nat > X0) > set @ nat > nat))).
% 218.24/31.71 thf(func_def_1657, type, sK1015: !>[X0: $tType]:(((X0 > nat) > (X0 > nat) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1658, type, sK1016: !>[X0: $tType, X1: $tType]:((X1 > X1 > (X0 > X1) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1659, type, sK1017: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1660, type, sK1018: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > (X2 > X1) > set @ X2 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1661, type, sK1019: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1662, type, sK1020: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1663, type, sK1021: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1664, type, sK1022: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > (X0 > X0 > $o) > X1))).
% 218.24/31.71 thf(func_def_1665, type, sK1023: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_1666, type, sK1024: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_1667, type, sK1025: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_1668, type, sK1026: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_1669, type, sK1027: !>[X0: $tType]:((X0 > X0))).
% 218.24/31.71 thf(func_def_1670, type, sK1028: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1671, type, sK1029: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > set @ X0 > set @ X0 > X1))).
% 218.24/31.71 thf(func_def_1672, type, sK1030: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X0 > X1) > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_1673, type, sK1031: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > set @ X0 > set @ X0 > X1))).
% 218.24/31.71 thf(func_def_1674, type, sK1032: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X0 > X1) > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_1675, type, sK1033: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > (X0 > X1) > (X0 > X2) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1676, type, sK1034: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1677, type, sK1035: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1678, type, sK1036: !>[X0: $tType]:((set @ X0 > (X0 > nat) > X0))).
% 218.24/31.71 thf(func_def_1679, type, sK1037: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1680, type, sK1038: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1681, type, sK1039: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1682, type, sK1040: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1683, type, sK1041: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1684, type, sK1042: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1685, type, sK1043: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1686, type, sK1044: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1687, type, sK1045: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1688, type, sK1046: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1689, type, sK1047: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1690, type, sK1048: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1691, type, sK1049: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1692, type, sK1050: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1693, type, sK1051: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1694, type, sK1052: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1695, type, sK1053: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1 > X1))).
% 218.24/31.71 thf(func_def_1696, type, sK1054: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_1697, type, sK1055: (nat > nat > (nat > int) > nat)).
% 218.24/31.71 thf(func_def_1698, type, sK1056: (int > (nat > int) > nat > nat > nat)).
% 218.24/31.71 thf(func_def_1699, type, sK1057: (int > (nat > int) > nat > nat)).
% 218.24/31.71 thf(func_def_1700, type, sK1058: ((nat > int) > nat > nat)).
% 218.24/31.71 thf(func_def_1701, type, sK1059: (int > (nat > int) > nat > nat)).
% 218.24/31.71 thf(func_def_1702, type, sK1060: ((nat > int) > nat > nat)).
% 218.24/31.71 thf(func_def_1703, type, sK1061: (real > real > real > real)).
% 218.24/31.71 thf(func_def_1704, type, sK1062: (real > real > real > real)).
% 218.24/31.71 thf(func_def_1705, type, sK1063: !>[X0: $tType]:((X0 > nat))).
% 218.24/31.71 thf(func_def_1706, type, sK1064: !>[X0: $tType]:((X0 > nat))).
% 218.24/31.71 thf(func_def_1707, type, sK1065: (int > nat)).
% 218.24/31.71 thf(func_def_1708, type, sK1066: (int > nat)).
% 218.24/31.71 thf(func_def_1709, type, sK1067: (int > nat)).
% 218.24/31.71 thf(func_def_1710, type, sK1068: (int > nat)).
% 218.24/31.71 thf(func_def_1711, type, sK1069: ((int > $o) > nat)).
% 218.24/31.71 thf(func_def_1712, type, sK1070: ((int > $o) > nat)).
% 218.24/31.71 thf(func_def_1713, type, sK1071: (int > nat)).
% 218.24/31.71 thf(func_def_1714, type, sK1072: (int > nat)).
% 218.24/31.71 thf(func_def_1715, type, sK1073: (int > nat)).
% 218.24/31.71 thf(func_def_1716, type, sK1074: (int > nat)).
% 218.24/31.71 thf(func_def_1717, type, sK1075: !>[X0: $tType]:((X0 > X0 > nat))).
% 218.24/31.71 thf(func_def_1718, type, sK1076: (real > real > nat)).
% 218.24/31.71 thf(func_def_1719, type, sK1077: (int > nat)).
% 218.24/31.71 thf(func_def_1720, type, sK1078: (int > nat)).
% 218.24/31.71 thf(func_def_1721, type, sK1079: (int > nat)).
% 218.24/31.71 thf(func_def_1722, type, sK1080: (int > nat)).
% 218.24/31.71 thf(func_def_1723, type, sK1081: (int > nat)).
% 218.24/31.71 thf(func_def_1724, type, sK1082: (int > nat)).
% 218.24/31.71 thf(func_def_1725, type, sK1083: (int > nat)).
% 218.24/31.71 thf(func_def_1726, type, sK1084: (int > nat)).
% 218.24/31.71 thf(func_def_1727, type, sK1085: !>[X0: $tType]:((X0 > nat))).
% 218.24/31.71 thf(func_def_1728, type, sK1086: (real > real > nat)).
% 218.24/31.71 thf(func_def_1729, type, sK1087: (int > nat)).
% 218.24/31.71 thf(func_def_1730, type, sK1088: (set @ nat > nat)).
% 218.24/31.71 thf(func_def_1731, type, sK1089: !>[X0: $tType]:(((X0 > nat) > (X0 > nat) > X0))).
% 218.24/31.71 thf(func_def_1732, type, sK1090: !>[X0: $tType]:((X0 > (nat > X0) > nat > nat))).
% 218.24/31.71 thf(func_def_1733, type, sK1091: !>[X0: $tType]:(((nat > X0) > set @ nat > nat))).
% 218.24/31.71 thf(func_def_1734, type, sK1092: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1735, type, sK1093: !>[X0: $tType]:(((nat > X0) > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1736, type, sK1094: !>[X0: $tType]:((nat > (nat > real) > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1737, type, sK1095: !>[X0: $tType]:(((nat > X0) > nat > (nat > real) > nat))).
% 218.24/31.71 thf(func_def_1738, type, sK1096: !>[X0: $tType]:(((nat > X0) > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1739, type, sK1097: !>[X0: $tType]:(((nat > X0) > set @ nat > nat))).
% 218.24/31.71 thf(func_def_1740, type, sK1098: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1741, type, sK1099: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1742, type, sK1100: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1743, type, sK1101: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 218.24/31.71 thf(func_def_1744, type, sK1102: !>[X0: $tType]:(((nat > X0) > set @ nat > nat))).
% 218.24/31.71 thf(func_def_1745, type, sK1103: !>[X0: $tType]:((nat > (nat > real) > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1746, type, sK1104: (nat > (nat > real) > (nat > real) > nat)).
% 218.24/31.71 thf(func_def_1747, type, sK1105: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1748, type, sK1106: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1749, type, sK1107: !>[X0: $tType]:((X0 > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1750, type, sK1108: !>[X0: $tType]:((X0 > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1751, type, sK1109: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1752, type, sK1110: !>[X0: $tType]:((set @ nat > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1753, type, sK1111: !>[X0: $tType]:((nat > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1754, type, sK1112: !>[X0: $tType]:((real > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1755, type, sK1113: !>[X0: $tType]:(((nat > X0) > real > nat))).
% 218.24/31.71 thf(func_def_1756, type, sK1114: ((nat > real) > nat)).
% 218.24/31.71 thf(func_def_1757, type, sK1115: ((nat > real) > nat)).
% 218.24/31.71 thf(func_def_1758, type, sK1116: !>[X0: $tType]:((real > (nat > X0) > real > nat))).
% 218.24/31.71 thf(func_def_1759, type, sK1117: !>[X0: $tType]:(((nat > X0) > nat > real > nat))).
% 218.24/31.71 thf(func_def_1760, type, sK1118: !>[X0: $tType]:((nat > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1761, type, sK1119: (nat > (nat > real) > nat)).
% 218.24/31.71 thf(func_def_1762, type, sK1120: (real > real)).
% 218.24/31.71 thf(func_def_1763, type, sK1121: (real > real > real)).
% 218.24/31.71 thf(func_def_1764, type, sK1122: !>[X0: $tType]:(((nat > X0) > real > X0))).
% 218.24/31.71 thf(func_def_1765, type, sK1123: (real > nat > real)).
% 218.24/31.71 thf(func_def_1766, type, sK1124: (nat > real > real)).
% 218.24/31.71 thf(func_def_1767, type, sK1125: (real > real)).
% 218.24/31.71 thf(func_def_1768, type, sK1126: (real > real)).
% 218.24/31.71 thf(func_def_1769, type, sK1127: (real > real)).
% 218.24/31.71 thf(func_def_1770, type, sK1128: (real > real)).
% 218.24/31.71 thf(func_def_1771, type, sK1129: (nat > (nat > real) > (real > real) > real > real)).
% 218.24/31.71 thf(func_def_1772, type, sK1130: (real > real)).
% 218.24/31.71 thf(func_def_1773, type, sK1131: (real > nat > real)).
% 218.24/31.71 thf(func_def_1774, type, sK1132: (nat > real > real)).
% 218.24/31.71 thf(func_def_1775, type, sK1133: (nat > real > real)).
% 218.24/31.71 thf(func_def_1776, type, sK1134: (real > real)).
% 218.24/31.71 thf(func_def_1777, type, sK1135: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1778, type, sK1136: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1779, type, sK1137: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1780, type, sK1138: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1781, type, sK1139: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1782, type, sK1140: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1783, type, sK1141: (complex > real)).
% 218.24/31.71 thf(func_def_1784, type, sK1142: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1785, type, sK1143: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1786, type, sK1144: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1787, type, sK1145: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1788, type, sK1146: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1789, type, sK1147: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > (X0 > X0 > $o) > X1))).
% 218.24/31.71 thf(func_def_1790, type, sK1148: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_1791, type, sK1149: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_1792, type, sK1150: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_1793, type, sK1151: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_1794, type, sK1152: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1795, type, sK1153: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > set @ X0 > set @ X0 > X1))).
% 218.24/31.71 thf(func_def_1796, type, sK1154: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X0 > X1) > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_1797, type, sK1155: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > set @ X0 > set @ X0 > X1))).
% 218.24/31.71 thf(func_def_1798, type, sK1156: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X0 > X1) > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_1799, type, sK1157: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > (X0 > X1) > (X0 > X2) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1800, type, sK1158: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1801, type, sK1159: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1802, type, sK1160: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1803, type, sK1161: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1804, type, sK1162: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1805, type, sK1163: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1806, type, sK1164: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1807, type, sK1165: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1808, type, sK1166: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1809, type, sK1167: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1810, type, sK1168: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1811, type, sK1169: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1812, type, sK1170: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1813, type, sK1171: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1814, type, sK1172: !>[X0: $tType]:((X0 > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1815, type, sK1173: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1816, type, sK1174: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1817, type, sK1175: !>[X0: $tType]:((nat > (nat > X0) > X0))).
% 218.24/31.71 thf(func_def_1818, type, sK1176: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1819, type, sK1177: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1820, type, sK1178: !>[X0: $tType]:((nat > X0 > (nat > X0) > nat > X0))).
% 218.24/31.71 thf(func_def_1821, type, sK1179: !>[X0: $tType]:((X0 > nat > (nat > X0) > nat > X0))).
% 218.24/31.71 thf(func_def_1822, type, sK1180: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 218.24/31.71 thf(func_def_1823, type, sK1181: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 218.24/31.71 thf(func_def_1824, type, sK1182: ((nat > nat) > nat > nat)).
% 218.24/31.71 thf(func_def_1825, type, sK1183: ((nat > nat) > nat > nat)).
% 218.24/31.71 thf(func_def_1826, type, sK1184: !>[X0: $tType]:((nat > (nat > X0) > real > real))).
% 218.24/31.71 thf(func_def_1827, type, sK1185: !>[X0: $tType]:(((X0 > real) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1828, type, sK1186: (int > nat)).
% 218.24/31.71 thf(func_def_1829, type, sK1187: (int > int)).
% 218.24/31.71 thf(func_def_1830, type, sK1188: !>[X0: $tType]:((X0 > nat))).
% 218.24/31.71 thf(func_def_1831, type, sK1189: ((real > $o) > nat)).
% 218.24/31.71 thf(func_def_1832, type, sK1190: ((real > $o) > real)).
% 218.24/31.71 thf(func_def_1833, type, sK1191: ((real > $o) > real)).
% 218.24/31.71 thf(func_def_1834, type, sK1192: ((real > $o) > nat)).
% 218.24/31.71 thf(func_def_1835, type, sK1193: ((real > $o) > real)).
% 218.24/31.71 thf(func_def_1836, type, sK1194: ((real > $o) > real)).
% 218.24/31.71 thf(func_def_1837, type, sK1195: !>[X0: $tType]:((X0 > nat))).
% 218.24/31.71 thf(func_def_1838, type, sK1196: (product_prod @ int @ int > int > int > int)).
% 218.24/31.71 thf(func_def_1839, type, sK1197: (product_prod @ int @ int > int > int > int)).
% 218.24/31.71 thf(func_def_1840, type, sK1198: (product_prod @ int @ int > int > int > int)).
% 218.24/31.71 thf(func_def_1841, type, sK1199: (rat > rat)).
% 218.24/31.71 thf(func_def_1842, type, sK1200: (rat > rat)).
% 218.24/31.71 thf(func_def_1843, type, sK1201: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1 > X1 > X1))).
% 218.24/31.71 thf(func_def_1844, type, sK1202: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1 > X1 > X1))).
% 218.24/31.71 thf(func_def_1845, type, sK1203: !>[X0: $tType]:(((X0 > nat) > (X0 > nat) > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_1846, type, sK1204: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1847, type, sK1205: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1848, type, sK1206: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1849, type, sK1207: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1850, type, sK1208: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1851, type, sK1209: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1852, type, sK1210: !>[X0: $tType]:((nat > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1853, type, sK1211: !>[X0: $tType]:((nat > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1854, type, sK1212: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 218.24/31.71 thf(func_def_1855, type, sK1213: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 218.24/31.71 thf(func_def_1856, type, sK1214: (nat > (nat > nat) > nat)).
% 218.24/31.71 thf(func_def_1857, type, sK1215: (nat > (nat > nat) > nat)).
% 218.24/31.71 thf(func_def_1858, type, sK1216: ((nat > nat) > nat > nat)).
% 218.24/31.71 thf(func_def_1859, type, sK1217: ((nat > nat) > nat > nat)).
% 218.24/31.71 thf(func_def_1860, type, sK1218: (vEBT_VEBT > option @ nat > nat)).
% 218.24/31.71 thf(func_def_1861, type, sK1219: (vEBT_VEBT > option @ nat > list @ vEBT_VEBT)).
% 218.24/31.71 thf(func_def_1862, type, sK1220: (vEBT_VEBT > option @ nat > vEBT_VEBT)).
% 218.24/31.71 thf(func_def_1863, type, sK1221: (vEBT_VEBT > option @ nat > $o)).
% 218.24/31.71 thf(func_def_1864, type, sK1222: (vEBT_VEBT > option @ nat > $o)).
% 218.24/31.71 thf(func_def_1865, type, sK1223: (option @ nat > vEBT_VEBT > nat)).
% 218.24/31.71 thf(func_def_1866, type, sK1224: (option @ nat > vEBT_VEBT > nat)).
% 218.24/31.71 thf(func_def_1867, type, sK1225: (option @ nat > vEBT_VEBT > nat)).
% 218.24/31.71 thf(func_def_1868, type, sK1226: (option @ nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.71 thf(func_def_1869, type, sK1227: (option @ nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.71 thf(func_def_1870, type, sK1228: !>[X0: $tType]:(((nat > X0) > real))).
% 218.24/31.71 thf(func_def_1871, type, sK1229: !>[X0: $tType]:((nat > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1872, type, sK1230: !>[X0: $tType]:((nat > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1873, type, sK1231: !>[X0: $tType]:((real > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_1874, type, sK1232: (vEBT_VEBT > option @ nat > nat)).
% 218.24/31.71 thf(func_def_1875, type, sK1233: (vEBT_VEBT > option @ nat > list @ vEBT_VEBT)).
% 218.24/31.71 thf(func_def_1876, type, sK1234: (vEBT_VEBT > option @ nat > vEBT_VEBT)).
% 218.24/31.71 thf(func_def_1877, type, sK1235: (vEBT_VEBT > option @ nat > $o)).
% 218.24/31.71 thf(func_def_1878, type, sK1236: (vEBT_VEBT > option @ nat > $o)).
% 218.24/31.71 thf(func_def_1879, type, sK1237: (option @ nat > vEBT_VEBT > nat)).
% 218.24/31.71 thf(func_def_1880, type, sK1238: (option @ nat > vEBT_VEBT > nat)).
% 218.24/31.71 thf(func_def_1881, type, sK1239: (option @ nat > vEBT_VEBT > nat)).
% 218.24/31.71 thf(func_def_1882, type, sK1240: (option @ nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.71 thf(func_def_1883, type, sK1241: (option @ nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.71 thf(func_def_1884, type, sK1242: (vEBT_VEBT > $o > nat)).
% 218.24/31.71 thf(func_def_1885, type, sK1243: (vEBT_VEBT > $o > list @ vEBT_VEBT)).
% 218.24/31.71 thf(func_def_1886, type, sK1244: (vEBT_VEBT > $o > vEBT_VEBT)).
% 218.24/31.71 thf(func_def_1887, type, sK1245: (vEBT_VEBT > $o > $o)).
% 218.24/31.71 thf(func_def_1888, type, sK1246: (vEBT_VEBT > $o > $o)).
% 218.24/31.71 thf(func_def_1889, type, sK1247: ($o > vEBT_VEBT > product_prod @ nat @ nat)).
% 218.24/31.71 thf(func_def_1890, type, sK1248: ($o > vEBT_VEBT > nat)).
% 218.24/31.71 thf(func_def_1891, type, sK1249: ($o > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.71 thf(func_def_1892, type, sK1250: ($o > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.71 thf(func_def_1893, type, sK1251: (vEBT_VEBT > nat)).
% 218.24/31.71 thf(func_def_1894, type, sK1252: (vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.71 thf(func_def_1895, type, sK1253: (vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.71 thf(func_def_1896, type, sK1254: (vEBT_VEBT > product_prod @ nat @ nat)).
% 218.24/31.71 thf(func_def_1897, type, sK1255: (vEBT_VEBT > nat)).
% 218.24/31.71 thf(func_def_1898, type, sK1256: (vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.71 thf(func_def_1899, type, sK1257: (vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.71 thf(func_def_1900, type, sK1258: (vEBT_VEBT > $o)).
% 218.24/31.71 thf(func_def_1901, type, sK1259: (vEBT_VEBT > $o)).
% 218.24/31.71 thf(func_def_1902, type, sK1260: (product_prod @ (code_integer > option @ product_prod @ $o @ list @ code_term) @ product_prod @ code_integer @ code_integer > code_integer > option @ product_prod @ $o @ list @ code_term)).
% 218.24/31.71 thf(func_def_1903, type, sK1261: (product_prod @ (code_integer > option @ product_prod @ $o @ list @ code_term) @ product_prod @ code_integer @ code_integer > code_integer)).
% 218.24/31.71 thf(func_def_1904, type, sK1262: (product_prod @ (code_integer > option @ product_prod @ $o @ list @ code_term) @ product_prod @ code_integer @ code_integer > code_integer)).
% 218.24/31.71 thf(func_def_1905, type, sK1263: (product_prod @ (product_prod @ code_integer @ (product_unit > code_term) > option @ product_prod @ $o @ list @ code_term) @ product_prod @ code_integer @ code_integer > product_prod @ code_integer @ (product_unit > code_term) > option @ product_prod @ $o @ list @ code_term)).
% 218.24/31.71 thf(func_def_1906, type, sK1264: (product_prod @ (product_prod @ code_integer @ (product_unit > code_term) > option @ product_prod @ $o @ list @ code_term) @ product_prod @ code_integer @ code_integer > code_integer)).
% 218.24/31.71 thf(func_def_1907, type, sK1265: (product_prod @ (product_prod @ code_integer @ (product_unit > code_term) > option @ product_prod @ $o @ list @ code_term) @ product_prod @ code_integer @ code_integer > code_integer)).
% 218.24/31.71 thf(func_def_1908, type, sK1266: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1909, type, sK1267: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1910, type, sK1268: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1911, type, sK1269: !>[X0: $tType]:((nat > list @ list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_1912, type, sK1270: !>[X0: $tType]:((nat > set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_1913, type, sK1271: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > (X0 > X1 > $o) > X0))).
% 218.24/31.71 thf(func_def_1914, type, sK1272: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > (X0 > X1 > $o) > X0))).
% 218.24/31.71 thf(func_def_1915, type, sK1273: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > (X0 > X1 > $o) > X1))).
% 218.24/31.71 thf(func_def_1916, type, sK1274: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ X0 > set @ X1 > X0))).
% 218.24/31.71 thf(func_def_1917, type, sK1275: !>[X0: $tType, X1: $tType]:(((X1 > nat) > (X0 > X1 > $o) > set @ X1 > set @ X0 > X1))).
% 218.24/31.71 thf(func_def_1918, type, sK1276: !>[X0: $tType]:((nat > set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_1919, type, sK1277: !>[X0: $tType]:((set @ X0 > nat > set @ X0))).
% 218.24/31.71 thf(func_def_1920, type, sK1278: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1921, type, sK1279: !>[X0: $tType, X1: $tType]:((nat > (X0 > X1 > $o) > set @ X1 > set @ X0 > X1))).
% 218.24/31.71 thf(func_def_1922, type, sK1280: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1923, type, sK1281: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1924, type, sK1282: !>[X0: $tType]:((nat > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1925, type, sK1283: !>[X0: $tType]:((nat > set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_1926, type, sK1284: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1927, type, sK1285: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1928, type, sK1286: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1929, type, sK1287: !>[X0: $tType]:((set @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_1930, type, sK1288: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 218.24/31.71 thf(func_def_1931, type, sK1289: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1932, type, sK1290: (set @ nat > nat > nat)).
% 218.24/31.71 thf(func_def_1933, type, sK1291: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_1934, type, sK1292: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_1935, type, sK1293: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_1936, type, sK1294: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1937, type, sK1295: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1938, type, sK1296: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_1939, type, sK1297: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1940, type, sK1298: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1941, type, sK1299: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1942, type, sK1300: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1943, type, sK1301: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1944, type, sK1302: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1945, type, sK1303: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1946, type, sK1304: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1947, type, sK1305: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1948, type, sK1306: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1949, type, sK1307: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_1950, type, sK1308: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1951, type, sK1309: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1952, type, sK1310: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1953, type, sK1311: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1954, type, sK1312: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_1955, type, sK1313: !>[X0: $tType]:((X0 > X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1956, type, sK1314: !>[X0: $tType]:((X0 > X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1957, type, sK1315: !>[X0: $tType]:((set @ set @ X0 > set @ X0 > set @ set @ X0))).
% 218.24/31.71 thf(func_def_1958, type, sK1316: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1959, type, sK1317: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1960, type, sK1318: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1961, type, sK1319: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1962, type, sK1320: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1963, type, sK1321: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1964, type, sK1322: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1965, type, sK1323: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1966, type, sK1324: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_1967, type, sK1325: !>[X0: $tType]:((set @ set @ X0 > set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_1968, type, sK1326: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_1969, type, sK1327: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1970, type, sK1328: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1971, type, sK1329: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_1972, type, sK1330: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1973, type, sK1331: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1974, type, sK1332: (int > int > int)).
% 218.24/31.71 thf(func_def_1975, type, sK1333: (int > int > int)).
% 218.24/31.71 thf(func_def_1976, type, sK1334: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_1977, type, sK1335: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_1978, type, sK1336: !>[X0: $tType]:((nat > set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_1979, type, sK1337: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1980, type, sK1338: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1981, type, sK1339: !>[X0: $tType]:((X0 > X0 > nat))).
% 218.24/31.71 thf(func_def_1982, type, sK1340: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1983, type, sK1341: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.71 thf(func_def_1984, type, sK1342: (nat > nat > nat)).
% 218.24/31.71 thf(func_def_1985, type, sK1343: (nat > nat > nat)).
% 218.24/31.71 thf(func_def_1986, type, sK1344: (nat > nat > nat)).
% 218.24/31.71 thf(func_def_1987, type, sK1345: (nat > nat > nat)).
% 218.24/31.71 thf(func_def_1988, type, sK1346: !>[X0: $tType]:((set @ set @ X0 > set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_1989, type, sK1347: !>[X0: $tType]:((set @ set @ X0 > set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_1990, type, sK1348: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1991, type, sK1349: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1992, type, sK1350: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1993, type, sK1351: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1994, type, sK1352: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1995, type, sK1353: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_1996, type, sK1354: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_1997, type, sK1355: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_1998, type, sK1356: !>[X0: $tType]:((nat > set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_1999, type, sK1357: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2000, type, sK1358: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2001, type, sK1359: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2002, type, sK1360: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 218.24/31.71 thf(func_def_2003, type, sK1361: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 218.24/31.71 thf(func_def_2004, type, sK1362: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 218.24/31.71 thf(func_def_2005, type, sK1363: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 218.24/31.71 thf(func_def_2006, type, sK1364: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 218.24/31.71 thf(func_def_2007, type, sK1365: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 218.24/31.71 thf(func_def_2008, type, sK1366: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 218.24/31.71 thf(func_def_2009, type, sK1367: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2010, type, sK1368: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2011, type, sK1369: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2012, type, sK1370: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2013, type, sK1371: !>[X0: $tType, X1: $tType]:((set @ set @ X1 > (X1 > X0) > set @ X1))).
% 218.24/31.71 thf(func_def_2014, type, sK1372: !>[X0: $tType, X1: $tType]:((set @ set @ X1 > (X1 > X0) > set @ X1))).
% 218.24/31.71 thf(func_def_2015, type, sK1373: !>[X0: $tType, X1: $tType]:((set @ set @ X1 > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2016, type, sK1374: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2017, type, sK1375: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2018, type, sK1376: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2019, type, sK1377: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2020, type, sK1378: !>[X0: $tType, X1: $tType]:((set @ set @ X1 > (X1 > X0) > set @ X1))).
% 218.24/31.71 thf(func_def_2021, type, sK1379: !>[X0: $tType, X1: $tType]:((set @ set @ X1 > (X1 > X0) > set @ X1))).
% 218.24/31.71 thf(func_def_2022, type, sK1380: !>[X0: $tType, X1: $tType]:((set @ set @ X1 > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2023, type, sK1381: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2024, type, sK1382: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2025, type, sK1383: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2026, type, sK1384: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2027, type, sK1385: !>[X0: $tType]:((X0 > X0 > (X0 > X0 > $o) > nat > X0))).
% 218.24/31.71 thf(func_def_2028, type, sK1386: !>[X0: $tType]:((X0 > X0 > (X0 > X0 > $o) > nat > X0))).
% 218.24/31.71 thf(func_def_2029, type, sK1387: !>[X0: $tType]:((X0 > X0 > (X0 > X0 > $o) > nat > X0))).
% 218.24/31.71 thf(func_def_2030, type, sK1388: !>[X0: $tType]:((X0 > X0 > (X0 > X0 > $o) > nat > X0))).
% 218.24/31.71 thf(func_def_2031, type, sK1389: !>[X0: $tType]:((X0 > X0 > (X0 > X0 > $o) > nat > nat))).
% 218.24/31.71 thf(func_def_2032, type, sK1390: !>[X0: $tType]:((X0 > X0 > (X0 > X0 > $o) > nat > X0))).
% 218.24/31.71 thf(func_def_2033, type, sK1391: !>[X0: $tType]:((X0 > X0 > (X0 > X0 > $o) > nat > nat))).
% 218.24/31.71 thf(func_def_2034, type, sK1392: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X2 > (X0 > X1) > product_prod @ X1 @ X2 > X0))).
% 218.24/31.71 thf(func_def_2035, type, sK1393: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X2 > (X0 > X1) > product_prod @ X1 @ X2 > X2))).
% 218.24/31.71 thf(func_def_2036, type, sK1394: ((int > $o) > product_prod @ nat @ nat)).
% 218.24/31.71 thf(func_def_2037, type, sK1395: (int > nat)).
% 218.24/31.71 thf(func_def_2038, type, sK1396: (int > nat)).
% 218.24/31.71 thf(func_def_2039, type, sK1397: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2040, type, sK1398: (nat > set @ nat > nat)).
% 218.24/31.71 thf(func_def_2041, type, sK1399: (set @ nat > nat)).
% 218.24/31.71 thf(func_def_2042, type, sK1400: (set @ nat > nat)).
% 218.24/31.71 thf(func_def_2043, type, sK1401: (int > set @ int > int)).
% 218.24/31.71 thf(func_def_2044, type, sK1402: (nat > vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 218.24/31.71 thf(func_def_2045, type, sK1403: (nat > vEBT_VEBT > nat)).
% 218.24/31.71 thf(func_def_2046, type, sK1404: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.71 thf(func_def_2047, type, sK1405: (nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.71 thf(func_def_2048, type, sK1406: (nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.71 thf(func_def_2049, type, sK1407: (vEBT_VEBT > $o)).
% 218.24/31.71 thf(func_def_2050, type, sK1408: (vEBT_VEBT > $o)).
% 218.24/31.71 thf(func_def_2051, type, sK1409: !>[X0: $tType]:((option @ X0 > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_2052, type, sK1410: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2053, type, sK1411: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2054, type, sK1412: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2055, type, sK1413: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2056, type, sK1414: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2057, type, sK1415: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2058, type, sK1416: ($o > nat > vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 218.24/31.71 thf(func_def_2059, type, sK1417: ($o > nat > vEBT_VEBT > nat)).
% 218.24/31.71 thf(func_def_2060, type, sK1418: ($o > nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.71 thf(func_def_2061, type, sK1419: ($o > nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.71 thf(func_def_2062, type, sK1420: (vEBT_VEBT > $o)).
% 218.24/31.71 thf(func_def_2063, type, sK1421: (vEBT_VEBT > $o)).
% 218.24/31.71 thf(func_def_2064, type, sK1422: (vEBT_VEBT > nat > option @ product_prod @ nat @ nat)).
% 218.24/31.71 thf(func_def_2065, type, sK1423: (vEBT_VEBT > nat > nat)).
% 218.24/31.71 thf(func_def_2066, type, sK1424: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 218.24/31.71 thf(func_def_2067, type, sK1425: (vEBT_VEBT > nat > vEBT_VEBT)).
% 218.24/31.71 thf(func_def_2068, type, sK1426: (vEBT_VEBT > $o)).
% 218.24/31.71 thf(func_def_2069, type, sK1427: (vEBT_VEBT > $o)).
% 218.24/31.71 thf(func_def_2070, type, sK1428: (vEBT_VEBT > $o > nat > $o)).
% 218.24/31.71 thf(func_def_2071, type, sK1429: (vEBT_VEBT > $o > nat > $o)).
% 218.24/31.71 thf(func_def_2072, type, sK1430: ($o > nat > vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 218.24/31.71 thf(func_def_2073, type, sK1431: ($o > nat > vEBT_VEBT > nat)).
% 218.24/31.71 thf(func_def_2074, type, sK1432: ($o > nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 218.24/31.71 thf(func_def_2075, type, sK1433: ($o > nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.71 thf(func_def_2076, type, sK1434: (vEBT_VEBT > nat > option @ product_prod @ nat @ nat)).
% 218.24/31.71 thf(func_def_2077, type, sK1435: (vEBT_VEBT > nat > nat)).
% 218.24/31.71 thf(func_def_2078, type, sK1436: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 218.24/31.71 thf(func_def_2079, type, sK1437: (vEBT_VEBT > nat > vEBT_VEBT)).
% 218.24/31.71 thf(func_def_2080, type, sK1438: (nat > vEBT_VEBT > $o)).
% 218.24/31.71 thf(func_def_2081, type, sK1439: (nat > vEBT_VEBT > $o)).
% 218.24/31.71 thf(func_def_2082, type, sK1440: (vEBT_VEBT > nat > option @ product_prod @ nat @ nat)).
% 218.24/31.71 thf(func_def_2083, type, sK1441: (vEBT_VEBT > nat > nat)).
% 218.24/31.71 thf(func_def_2084, type, sK1442: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 218.24/31.71 thf(func_def_2085, type, sK1443: (vEBT_VEBT > nat > vEBT_VEBT)).
% 218.24/31.71 thf(func_def_2086, type, sK1444: (vEBT_VEBT > nat > vEBT_VEBT)).
% 218.24/31.71 thf(func_def_2087, type, sK1445: (nat > vEBT_VEBT > $o)).
% 218.24/31.71 thf(func_def_2088, type, sK1446: (nat > vEBT_VEBT > $o)).
% 218.24/31.71 thf(func_def_2089, type, sK1447: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > product_prod @ list @ X0 @ list @ X0))).
% 218.24/31.71 thf(func_def_2090, type, sK1448: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > product_prod @ list @ X0 @ list @ X0))).
% 218.24/31.71 thf(func_def_2091, type, sK1449: (nat > (nat > $o) > nat)).
% 218.24/31.71 thf(func_def_2092, type, sK1450: (nat > (nat > $o) > nat)).
% 218.24/31.71 thf(func_def_2093, type, sK1451: (nat > (nat > $o) > nat)).
% 218.24/31.71 thf(func_def_2094, type, sK1452: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_2095, type, sK1453: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_2096, type, sK1454: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_2097, type, sK1455: (real > real > real)).
% 218.24/31.71 thf(func_def_2098, type, sK1456: (real > real)).
% 218.24/31.71 thf(func_def_2099, type, sK1457: !>[X0: $tType]:((set @ nat > list @ X0 > nat))).
% 218.24/31.71 thf(func_def_2100, type, sK1458: !>[X0: $tType]:(((X0 > $o) > nat))).
% 218.24/31.71 thf(func_def_2101, type, sK1459: !>[X0: $tType]:((X0 > nat))).
% 218.24/31.71 thf(func_def_2102, type, sK1460: !>[X0: $tType, X1: $tType]:(((X0 > $o) > set @ X1 > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2103, type, sK1461: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2104, type, sK1462: !>[X0: $tType, X1: $tType]:(((X0 > $o) > set @ X1 > (X1 > X0) > X0))).
% 218.24/31.71 thf(func_def_2105, type, sK1463: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X0 > X1))).
% 218.24/31.71 thf(func_def_2106, type, sK1464: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > set @ X1))).
% 218.24/31.71 thf(func_def_2107, type, sK1465: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2108, type, sK1466: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_2109, type, sK1467: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2110, type, sK1468: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > (X0 > X1) > set @ X2 > set @ X0 > X2))).
% 218.24/31.71 thf(func_def_2111, type, sK1469: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > (X0 > X1) > set @ X2 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2112, type, sK1470: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X1) > set @ X2 > set @ X0 > X2))).
% 218.24/31.71 thf(func_def_2113, type, sK1471: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X1) > set @ X2 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2114, type, sK1472: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > set @ X1))).
% 218.24/31.71 thf(func_def_2115, type, sK1473: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2116, type, sK1474: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2117, type, sK1475: ((rat > $o) > int)).
% 218.24/31.71 thf(func_def_2118, type, sK1476: ((rat > $o) > int)).
% 218.24/31.71 thf(func_def_2119, type, sK1477: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > set @ X0 > X1))).
% 218.24/31.71 thf(func_def_2120, type, sK1478: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2121, type, sK1479: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > (X0 > X1) > set @ X2 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2122, type, sK1480: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2123, type, sK1481: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2124, type, sK1482: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1 > set @ X0 > X1))).
% 218.24/31.71 thf(func_def_2125, type, sK1483: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2126, type, sK1484: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > (X0 > X1) > set @ X0 > set @ X2 > X2))).
% 218.24/31.71 thf(func_def_2127, type, sK1485: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2128, type, sK1486: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2129, type, sK1487: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2130, type, sK1488: !>[X0: $tType, X1: $tType]:((X1 > (X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2131, type, sK1489: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2132, type, sK1490: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2133, type, sK1491: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2134, type, sK1492: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2135, type, sK1493: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2136, type, sK1494: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2137, type, sK1495: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > set @ X2 > X2))).
% 218.24/31.71 thf(func_def_2138, type, sK1496: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > set @ X2 > X2))).
% 218.24/31.71 thf(func_def_2139, type, sK1497: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > set @ X2 > X2))).
% 218.24/31.71 thf(func_def_2140, type, sK1498: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > set @ X2 > X2))).
% 218.24/31.71 thf(func_def_2141, type, sK1499: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0) > (X0 > X1) > set @ X2 > X2))).
% 218.24/31.71 thf(func_def_2142, type, sK1500: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2143, type, sK1501: !>[X0: $tType, X1: $tType]:(((X0 > filter @ X1) > set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2144, type, sK1502: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > set @ X1) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2145, type, sK1503: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > (X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2146, type, sK1504: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > (X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2147, type, sK1505: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X0 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2148, type, sK1506: !>[X0: $tType]:((X0 > set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2149, type, sK1507: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > set @ X0 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2150, type, sK1508: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > set @ X0 > set @ X1 > X0))).
% 218.24/31.71 thf(func_def_2151, type, sK1509: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2152, type, sK1510: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2153, type, sK1511: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2154, type, sK1512: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2155, type, sK1513: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2156, type, sK1514: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2157, type, sK1515: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2158, type, sK1516: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2159, type, sK1517: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2160, type, sK1518: !>[X0: $tType]:((nat > (nat > set @ X0) > nat))).
% 218.24/31.71 thf(func_def_2161, type, sK1519: !>[X0: $tType]:((nat > (nat > set @ X0) > nat))).
% 218.24/31.71 thf(func_def_2162, type, sK1520: !>[X0: $tType]:((nat > (nat > set @ X0) > nat))).
% 218.24/31.71 thf(func_def_2163, type, sK1521: !>[X0: $tType]:((set @ X0 > (nat > set @ X0) > nat))).
% 218.24/31.71 thf(func_def_2164, type, sK1522: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > X1))).
% 218.24/31.71 thf(func_def_2165, type, sK1523: !>[X0: $tType, X1: $tType]:(((X1 > filter @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2166, type, sK1524: !>[X0: $tType, X1: $tType]:(((X1 > filter @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2167, type, sK1525: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2168, type, sK1526: !>[X0: $tType]:(X0)).
% 218.24/31.71 thf(func_def_2169, type, sK1527: !>[X0: $tType]:((set @ filter @ X0 > set @ filter @ X0))).
% 218.24/31.71 thf(func_def_2170, type, sK1528: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2171, type, sK1529: !>[X0: $tType]:((set @ X0 > (nat > set @ X0) > nat))).
% 218.24/31.71 thf(func_def_2172, type, sK1530: !>[X0: $tType]:((nat > (nat > set @ X0) > (nat > set @ X0) > nat))).
% 218.24/31.71 thf(func_def_2173, type, sK1531: !>[X0: $tType]:((nat > (nat > set @ X0) > (nat > set @ X0) > nat))).
% 218.24/31.71 thf(func_def_2174, type, sK1532: !>[X0: $tType]:((set @ X0 > product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2175, type, sK1533: (real > (real > real) > real)).
% 218.24/31.71 thf(func_def_2176, type, sK1534: (real > (real > real) > real)).
% 218.24/31.71 thf(func_def_2177, type, sK1535: (real > (real > real) > real)).
% 218.24/31.71 thf(func_def_2178, type, sK1536: (real > (real > real) > real)).
% 218.24/31.71 thf(func_def_2179, type, sK1537: ((real > real) > real > real > real)).
% 218.24/31.71 thf(func_def_2180, type, sK1538: ((real > real) > real > real > real)).
% 218.24/31.71 thf(func_def_2181, type, sK1539: (set @ real > real > (real > real) > real)).
% 218.24/31.71 thf(func_def_2182, type, sK1540: (set @ real > real > (real > real) > real)).
% 218.24/31.71 thf(func_def_2183, type, sK1541: (set @ real > real > (real > real) > real)).
% 218.24/31.71 thf(func_def_2184, type, sK1542: (set @ real > real > (real > real) > real)).
% 218.24/31.71 thf(func_def_2185, type, sK1543: (real > real > (real > real) > (real > real) > real)).
% 218.24/31.71 thf(func_def_2186, type, sK1544: ((real > real) > (real > real) > real > real > real)).
% 218.24/31.71 thf(func_def_2187, type, sK1545: (real > real > (real > real) > real)).
% 218.24/31.71 thf(func_def_2188, type, sK1546: (real > real > (real > real) > real)).
% 218.24/31.71 thf(func_def_2189, type, sK1547: (real > real > (real > real) > real)).
% 218.24/31.71 thf(func_def_2190, type, sK1548: !>[X0: $tType]:(((X0 > X0) > (nat > X0) > real > X0))).
% 218.24/31.71 thf(func_def_2191, type, sK1549: !>[X0: $tType]:(((nat > X0) > real > X0))).
% 218.24/31.71 thf(func_def_2192, type, sK1550: (nat > real > (real > real) > (nat > real > real) > real)).
% 218.24/31.71 thf(func_def_2193, type, sK1551: ((nat > real > real) > nat)).
% 218.24/31.71 thf(func_def_2194, type, sK1552: ((nat > real > real) > real)).
% 218.24/31.71 thf(func_def_2195, type, sK1553: (nat > real > (real > real) > (nat > real > real) > real)).
% 218.24/31.71 thf(func_def_2196, type, sK1554: ((nat > real > real) > nat)).
% 218.24/31.71 thf(func_def_2197, type, sK1555: ((nat > real > real) > real)).
% 218.24/31.71 thf(func_def_2198, type, sK1556: (nat > real > (nat > real > real) > nat)).
% 218.24/31.71 thf(func_def_2199, type, sK1557: (nat > real > (nat > real > real) > real)).
% 218.24/31.71 thf(func_def_2200, type, sK1558: ((real > real) > (nat > real > real) > nat > real > real)).
% 218.24/31.71 thf(func_def_2201, type, sK1559: (nat > real > (nat > real > real) > nat)).
% 218.24/31.71 thf(func_def_2202, type, sK1560: (nat > real > (nat > real > real) > real)).
% 218.24/31.71 thf(func_def_2203, type, sK1561: (nat > (real > real) > (nat > real > real) > real > real)).
% 218.24/31.71 thf(func_def_2204, type, sK1562: (nat > real > (nat > real > real) > nat)).
% 218.24/31.71 thf(func_def_2205, type, sK1563: (nat > real > (nat > real > real) > real)).
% 218.24/31.71 thf(func_def_2206, type, sK1564: ((real > real) > (nat > real > real) > nat > real > real)).
% 218.24/31.71 thf(func_def_2207, type, sK1565: (real > nat > (real > real) > (nat > real > real) > real)).
% 218.24/31.71 thf(func_def_2208, type, sK1566: ((nat > real > real) > nat)).
% 218.24/31.71 thf(func_def_2209, type, sK1567: ((nat > real > real) > real)).
% 218.24/31.71 thf(func_def_2210, type, sK1568: (real > nat > (real > real) > (nat > real > real) > real)).
% 218.24/31.71 thf(func_def_2211, type, sK1569: (real > nat > (nat > real > real) > nat)).
% 218.24/31.71 thf(func_def_2212, type, sK1570: (real > nat > (nat > real > real) > real)).
% 218.24/31.71 thf(func_def_2213, type, sK1571: ((real > real) > (nat > real > real) > real > real > nat > real)).
% 218.24/31.71 thf(func_def_2214, type, sK1572: (real > real > (nat > real > real) > nat > nat)).
% 218.24/31.71 thf(func_def_2215, type, sK1573: (real > real > (nat > real > real) > nat > real)).
% 218.24/31.71 thf(func_def_2216, type, sK1574: (nat > real > real > (nat > real > real) > nat)).
% 218.24/31.71 thf(func_def_2217, type, sK1575: (nat > real > real > (nat > real > real) > real)).
% 218.24/31.71 thf(func_def_2218, type, sK1576: (real > real > (real > real) > (nat > real > real) > nat > real)).
% 218.24/31.71 thf(func_def_2219, type, sK1577: (nat > real > real > (nat > real > real) > nat)).
% 218.24/31.71 thf(func_def_2220, type, sK1578: (nat > real > real > (nat > real > real) > real)).
% 218.24/31.71 thf(func_def_2221, type, sK1579: (real > real > (real > real) > (nat > real > real) > nat > real)).
% 218.24/31.71 thf(func_def_2222, type, sK1580: ((nat > real > real) > real > nat > nat)).
% 218.24/31.71 thf(func_def_2223, type, sK1581: ((nat > real > real) > real > nat > real)).
% 218.24/31.71 thf(func_def_2224, type, sK1582: ((nat > real) > real > real)).
% 218.24/31.71 thf(func_def_2225, type, sK1583: !>[X0: $tType, X1: $tType]:(((X1 > X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2226, type, sK1584: ((real > real) > real > real > real)).
% 218.24/31.71 thf(func_def_2227, type, sK1585: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X2 > X2 > (X1 > X2 > X0) > (X1 > X2 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2228, type, sK1586: !>[X0: $tType, X1: $tType]:((real > (X1 > X0) > X1 > X1))).
% 218.24/31.71 thf(func_def_2229, type, sK1587: !>[X0: $tType, X1: $tType, X2: $tType]:((filter @ X2 > (X2 > X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2230, type, sK1588: !>[X0: $tType, X1: $tType]:((X0 > X0 > (X0 > X1) > X0))).
% 218.24/31.71 thf(func_def_2231, type, sK1589: !>[X0: $tType, X1: $tType]:((X0 > X1 > X0 > (X0 > X1) > X0))).
% 218.24/31.71 thf(func_def_2232, type, sK1590: !>[X0: $tType, X1: $tType]:((X0 > X0 > (X0 > X1) > X0))).
% 218.24/31.71 thf(func_def_2233, type, sK1591: !>[X0: $tType, X1: $tType]:((X0 > X1 > X0 > (X0 > X1) > X0))).
% 218.24/31.71 thf(func_def_2234, type, sK1592: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1 > real > X1))).
% 218.24/31.71 thf(func_def_2235, type, sK1593: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1 > real))).
% 218.24/31.71 thf(func_def_2236, type, sK1594: !>[X0: $tType, X1: $tType]:((real > X0 > (X1 > X0) > X1 > X1))).
% 218.24/31.71 thf(func_def_2237, type, sK1595: !>[X0: $tType, X1: $tType]:((real > X1 > X0 > (X1 > X0) > real))).
% 218.24/31.71 thf(func_def_2238, type, sK1596: (real > (real > real) > real)).
% 218.24/31.71 thf(func_def_2239, type, sK1597: (real > (real > real) > real)).
% 218.24/31.71 thf(func_def_2240, type, sK1598: (real > (real > real) > real)).
% 218.24/31.71 thf(func_def_2241, type, sK1599: !>[X0: $tType, X1: $tType]:((real > X1 > X0 > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2242, type, sK1600: !>[X0: $tType, X1: $tType]:((real > (X1 > X0) > real > X1))).
% 218.24/31.71 thf(func_def_2243, type, sK1601: !>[X0: $tType]:((real > real > (real > X0) > X0))).
% 218.24/31.71 thf(func_def_2244, type, sK1602: !>[X0: $tType]:((real > real > (real > X0) > real))).
% 218.24/31.71 thf(func_def_2245, type, sK1603: !>[X0: $tType]:(((real > X0) > real > real > real))).
% 218.24/31.71 thf(func_def_2246, type, sK1604: !>[X0: $tType]:((real > real > (real > X0) > X0))).
% 218.24/31.71 thf(func_def_2247, type, sK1605: !>[X0: $tType]:((real > real > (real > X0) > real))).
% 218.24/31.71 thf(func_def_2248, type, sK1606: !>[X0: $tType]:(((real > X0) > real > real > real))).
% 218.24/31.71 thf(func_def_2249, type, sK1607: !>[X0: $tType]:(((real > X0) > real > real > X0))).
% 218.24/31.71 thf(func_def_2250, type, sK1608: !>[X0: $tType]:(((real > X0) > real > real > real))).
% 218.24/31.71 thf(func_def_2251, type, sK1609: (real > real > (real > real) > (real > real) > real)).
% 218.24/31.71 thf(func_def_2252, type, sK1610: ((real > real) > real > real > real)).
% 218.24/31.71 thf(func_def_2253, type, sK1611: !>[X0: $tType]:((real > real > (real > X0) > X0))).
% 218.24/31.71 thf(func_def_2254, type, sK1612: !>[X0: $tType]:((X0 > real > real > (real > X0) > real))).
% 218.24/31.71 thf(func_def_2255, type, sK1613: !>[X0: $tType]:(((real > X0) > real > real > real))).
% 218.24/31.71 thf(func_def_2256, type, sK1614: !>[X0: $tType]:(((X0 > X0) > (nat > X0) > real > X0))).
% 218.24/31.71 thf(func_def_2257, type, sK1615: !>[X0: $tType]:(((X0 > X0) > (nat > X0) > real > X0))).
% 218.24/31.71 thf(func_def_2258, type, sK1616: !>[X0: $tType, X1: $tType]:(((X1 > nat > X0) > (nat > real) > real > X1))).
% 218.24/31.71 thf(func_def_2259, type, sK1617: !>[X0: $tType, X1: $tType]:(((X1 > nat > X0) > (nat > real) > real > nat))).
% 218.24/31.71 thf(func_def_2260, type, sK1618: (real > real > (real > real) > (real > real) > real)).
% 218.24/31.71 thf(func_def_2261, type, sK1619: ((real > real) > real > real > real)).
% 218.24/31.71 thf(func_def_2262, type, sK1620: ((real > real) > real > real > real)).
% 218.24/31.71 thf(func_def_2263, type, sK1621: ((real > real) > (real > real) > real > real > real)).
% 218.24/31.71 thf(func_def_2264, type, sK1622: (real > real > (real > real) > (real > real) > real)).
% 218.24/31.71 thf(func_def_2265, type, sK1623: (real > real > (real > real) > (real > real) > real)).
% 218.24/31.71 thf(func_def_2266, type, sK1624: (real > real > (real > real) > real)).
% 218.24/31.71 thf(func_def_2267, type, sK1625: (real > real > (real > real) > real)).
% 218.24/31.71 thf(func_def_2268, type, sK1626: ((real > real) > (real > real) > (real > real) > (real > real) > real > real > real)).
% 218.24/31.71 thf(func_def_2269, type, sK1627: ((nat > real) > nat)).
% 218.24/31.71 thf(func_def_2270, type, sK1628: ((nat > real) > nat)).
% 218.24/31.71 thf(func_def_2271, type, sK1629: !>[X0: $tType]:((X0 > nat > X0))).
% 218.24/31.71 thf(func_def_2272, type, sK1630: !>[X0: $tType]:((X0 > nat > X0))).
% 218.24/31.71 thf(func_def_2273, type, sK1631: !>[X0: $tType]:(((nat > X0) > (nat > X0) > nat > nat))).
% 218.24/31.71 thf(func_def_2274, type, sK1632: !>[X0: $tType]:((nat > (nat > X0) > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_2275, type, sK1633: !>[X0: $tType]:((X0 > nat > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_2276, type, sK1634: !>[X0: $tType]:((X0 > nat > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_2277, type, sK1635: !>[X0: $tType]:((nat > X0 > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_2278, type, sK1636: !>[X0: $tType]:((nat > X0 > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_2279, type, sK1637: !>[X0: $tType]:((set @ X0 > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_2280, type, sK1638: !>[X0: $tType]:((set @ X0 > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_2281, type, sK1639: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_2282, type, sK1640: ((nat > real) > (nat > real) > real)).
% 218.24/31.71 thf(func_def_2283, type, sK1641: ((nat > real) > (nat > real) > nat)).
% 218.24/31.71 thf(func_def_2284, type, sK1642: ((nat > real) > nat)).
% 218.24/31.71 thf(func_def_2285, type, sK1643: ((nat > real) > nat)).
% 218.24/31.71 thf(func_def_2286, type, sK1644: ((nat > real) > real)).
% 218.24/31.71 thf(func_def_2287, type, sK1645: (nat > (nat > real) > nat)).
% 218.24/31.71 thf(func_def_2288, type, sK1646: (real > (nat > real) > real)).
% 218.24/31.71 thf(func_def_2289, type, sK1647: (real > (nat > real) > nat)).
% 218.24/31.71 thf(func_def_2290, type, sK1648: ((nat > real) > nat)).
% 218.24/31.71 thf(func_def_2291, type, sK1649: !>[X0: $tType]:((real > X0 > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_2292, type, sK1650: !>[X0: $tType]:((X0 > (nat > X0) > real))).
% 218.24/31.71 thf(func_def_2293, type, sK1651: !>[X0: $tType]:((nat > X0 > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_2294, type, sK1652: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.71 thf(func_def_2295, type, sK1653: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.71 thf(func_def_2296, type, sK1654: ((nat > real) > nat)).
% 218.24/31.71 thf(func_def_2297, type, sK1655: ((nat > real) > nat)).
% 218.24/31.71 thf(func_def_2298, type, sK1656: ((nat > real) > nat)).
% 218.24/31.71 thf(func_def_2299, type, sK1657: ((nat > real) > nat)).
% 218.24/31.71 thf(func_def_2300, type, sK1658: ((nat > real) > nat)).
% 218.24/31.71 thf(func_def_2301, type, sK1659: ((nat > real) > nat)).
% 218.24/31.71 thf(func_def_2302, type, sK1660: ((nat > real) > real)).
% 218.24/31.71 thf(func_def_2303, type, sK1661: ((nat > real) > nat)).
% 218.24/31.71 thf(func_def_2304, type, sK1662: ((nat > real) > nat)).
% 218.24/31.71 thf(func_def_2305, type, sK1663: ((nat > real) > nat)).
% 218.24/31.71 thf(func_def_2306, type, sK1664: ((nat > real) > nat)).
% 218.24/31.71 thf(func_def_2307, type, sK1665: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 218.24/31.71 thf(func_def_2308, type, sK1666: ((nat > $o) > nat > nat)).
% 218.24/31.71 thf(func_def_2309, type, sK1667: !>[X0: $tType]:(((X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_2310, type, sK1668: !>[X0: $tType]:(((X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_2311, type, sK1669: !>[X0: $tType]:(((X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_2312, type, sK1670: !>[X0: $tType, X1: $tType]:((filter @ X1 > (X1 > X0 > $o) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2313, type, sK1671: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2314, type, sK1672: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2315, type, sK1673: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > (X1 > $o) > X0))).
% 218.24/31.71 thf(func_def_2316, type, sK1674: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > (X1 > X0) > X0))).
% 218.24/31.71 thf(func_def_2317, type, sK1675: !>[X0: $tType, X1: $tType]:((filter @ X1 > (X1 > X0) > X0 > X0))).
% 218.24/31.71 thf(func_def_2318, type, sK1676: !>[X0: $tType, X1: $tType]:((filter @ X1 > (X1 > X0) > X0 > X0))).
% 218.24/31.71 thf(func_def_2319, type, sK1677: !>[X0: $tType]:((set @ filter @ X0 > filter @ X0))).
% 218.24/31.71 thf(func_def_2320, type, sK1678: !>[X0: $tType]:((set @ filter @ X0 > filter @ X0))).
% 218.24/31.71 thf(func_def_2321, type, sK1679: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2322, type, sK1680: !>[X0: $tType, X1: $tType]:((filter @ X1 > (X1 > X0) > X0 > X0))).
% 218.24/31.71 thf(func_def_2323, type, sK1681: !>[X0: $tType, X1: $tType]:((filter @ X1 > X0 > (X1 > X0) > X0))).
% 218.24/31.71 thf(func_def_2324, type, sK1682: !>[X0: $tType, X1: $tType]:(((X1 > X0) > real))).
% 218.24/31.71 thf(func_def_2325, type, sK1683: !>[X0: $tType, X1: $tType]:((real > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2326, type, sK1684: !>[X0: $tType, X1: $tType]:(((X1 > X0) > real))).
% 218.24/31.71 thf(func_def_2327, type, sK1685: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2328, type, sK1686: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2329, type, sK1687: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2330, type, sK1688: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2331, type, sK1689: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2332, type, sK1690: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_2333, type, sK1691: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > (X1 > $o) > X0))).
% 218.24/31.71 thf(func_def_2334, type, sK1692: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > (X1 > X0) > X0))).
% 218.24/31.71 thf(func_def_2335, type, sK1693: !>[X0: $tType, X1: $tType]:(((X1 > filter @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2336, type, sK1694: !>[X0: $tType, X1: $tType]:(((X1 > filter @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2337, type, sK1695: ((real > real) > real > real)).
% 218.24/31.71 thf(func_def_2338, type, sK1696: !>[X0: $tType, X1: $tType]:(((X1 > real) > (X1 > X0) > X1 > set @ X1 > (X1 > X0) > real > X1))).
% 218.24/31.71 thf(func_def_2339, type, sK1697: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2340, type, sK1698: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2341, type, sK1699: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2342, type, sK1700: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2343, type, sK1701: !>[X0: $tType]:((X0 > nat > set @ X0))).
% 218.24/31.71 thf(func_def_2344, type, sK1702: !>[X0: $tType]:((set @ X0 > X0 > nat))).
% 218.24/31.71 thf(func_def_2345, type, sK1703: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2346, type, sK1704: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X0))).
% 218.24/31.71 thf(func_def_2347, type, sK1705: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2348, type, sK1706: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2349, type, sK1707: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2350, type, sK1708: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2351, type, sK1709: !>[X0: $tType]:((X0 > nat > set @ X0))).
% 218.24/31.71 thf(func_def_2352, type, sK1710: !>[X0: $tType]:(((X0 > X0) > real > set @ X0 > X0 > (X0 > X0) > X0))).
% 218.24/31.71 thf(func_def_2353, type, sK1711: !>[X0: $tType, X1: $tType]:(((X1 > X0) > real > set @ X1 > X1 > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2354, type, sK1712: !>[X0: $tType]:((real > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_2355, type, sK1713: !>[X0: $tType]:(((nat > X0) > real))).
% 218.24/31.71 thf(func_def_2356, type, sK1714: !>[X0: $tType]:((nat > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_2357, type, sK1715: !>[X0: $tType]:((nat > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_2358, type, sK1716: !>[X0: $tType, X1: $tType]:(((X1 > X0) > real > set @ X1 > X1 > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2359, type, sK1717: !>[X0: $tType, X1: $tType]:(((X1 > X0) > real > set @ X1 > X1 > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2360, type, sK1718: !>[X0: $tType]:(((nat > X0) > real))).
% 218.24/31.71 thf(func_def_2361, type, sK1719: !>[X0: $tType]:((nat > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_2362, type, sK1720: !>[X0: $tType]:((nat > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_2363, type, sK1721: !>[X0: $tType, X1: $tType]:((filter @ X1 > X0 > (X1 > X0) > real))).
% 218.24/31.71 thf(func_def_2364, type, sK1722: !>[X0: $tType, X1: $tType]:(((X1 > X0) > real > X1 > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2365, type, sK1723: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1 > real))).
% 218.24/31.71 thf(func_def_2366, type, sK1724: !>[X0: $tType, X1: $tType]:((real > X0 > (X1 > X0) > X1 > X1))).
% 218.24/31.71 thf(func_def_2367, type, sK1725: !>[X0: $tType, X1: $tType]:((real > X1 > X0 > (X1 > X0) > real))).
% 218.24/31.71 thf(func_def_2368, type, sK1726: !>[X0: $tType]:((real > X0 > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_2369, type, sK1727: !>[X0: $tType]:((X0 > (nat > X0) > real))).
% 218.24/31.71 thf(func_def_2370, type, sK1728: !>[X0: $tType]:((nat > X0 > (nat > X0) > nat))).
% 218.24/31.71 thf(func_def_2371, type, sK1729: !>[X0: $tType, X1: $tType]:((real > X1 > X0 > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2372, type, sK1730: !>[X0: $tType, X1: $tType]:((real > (X1 > X0) > X1 > X1))).
% 218.24/31.71 thf(func_def_2373, type, sK1731: ((real > real) > real > real)).
% 218.24/31.71 thf(func_def_2374, type, sK1732: !>[X0: $tType, X1: $tType]:((filter @ X1 > (X1 > X0) > real))).
% 218.24/31.71 thf(func_def_2375, type, sK1733: !>[X0: $tType]:(((nat > X0) > real))).
% 218.24/31.71 thf(func_def_2376, type, sK1734: !>[X0: $tType]:(((nat > X0) > real))).
% 218.24/31.71 thf(func_def_2377, type, sK1735: !>[X0: $tType]:(((nat > X0) > real > nat))).
% 218.24/31.71 thf(func_def_2378, type, sK1736: (real > real > (real > real) > real)).
% 218.24/31.71 thf(func_def_2379, type, sK1737: (real > real > (real > real) > real)).
% 218.24/31.71 thf(func_def_2380, type, sK1738: (real > real > (real > real) > real)).
% 218.24/31.71 thf(func_def_2381, type, sK1739: ((real > real) > real > (real > real) > real > real)).
% 218.24/31.71 thf(func_def_2382, type, sK1740: ((real > real) > real > (real > real) > real > real)).
% 218.24/31.71 thf(func_def_2383, type, sK1741: ((real > real) > real > (real > real) > real > real)).
% 218.24/31.71 thf(func_def_2384, type, sK1742: ((real > real) > real > real > real)).
% 218.24/31.71 thf(func_def_2385, type, sK1743: !>[X0: $tType, X1: $tType, X2: $tType]:((filter @ X2 > (X1 > X2 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2386, type, sK1744: ((real > real) > real > real > real)).
% 218.24/31.71 thf(func_def_2387, type, sK1745: ((real > real) > real > real > real)).
% 218.24/31.71 thf(func_def_2388, type, sK1746: ((real > real) > real > real > real)).
% 218.24/31.71 thf(func_def_2389, type, sK1747: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2390, type, sK1748: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2391, type, sK1749: !>[X0: $tType, X1: $tType]:((X0 > X1 > X0 > (X0 > X1) > X0))).
% 218.24/31.71 thf(func_def_2392, type, sK1750: !>[X0: $tType, X1: $tType]:((X0 > X1 > X0 > (X0 > X1) > X0))).
% 218.24/31.71 thf(func_def_2393, type, sK1751: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2394, type, sK1752: !>[X0: $tType, X1: $tType]:(((X1 > X0) > filter @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_2395, type, sK1753: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2396, type, sK1754: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2397, type, sK1755: !>[X0: $tType]:(((X0 > X0) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2398, type, sK1756: !>[X0: $tType]:(((X0 > real) > (X0 > real) > set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2399, type, sK1757: !>[X0: $tType]:(((X0 > X0) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2400, type, sK1758: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2401, type, sK1759: !>[X0: $tType]:(((X0 > real) > set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2402, type, sK1760: !>[X0: $tType]:(((X0 > real) > (X0 > real) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2403, type, sK1761: !>[X0: $tType]:(((X0 > real) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2404, type, sK1762: !>[X0: $tType]:(((X0 > real) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2405, type, sK1763: !>[X0: $tType]:(((X0 > real) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2406, type, sK1764: !>[X0: $tType]:(((X0 > X0) > X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2407, type, sK1765: (real > real > (real > real) > (real > real > real) > real)).
% 218.24/31.71 thf(func_def_2408, type, sK1766: ((real > real > real) > real > real > real)).
% 218.24/31.71 thf(func_def_2409, type, sK1767: (real > real > (real > real) > (real > real > real) > real)).
% 218.24/31.71 thf(func_def_2410, type, sK1768: ((real > real > real) > (real > real) > real > real > real)).
% 218.24/31.71 thf(func_def_2411, type, sK1769: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2412, type, sK1770: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2413, type, sK1771: ((real > real) > real > real > real)).
% 218.24/31.71 thf(func_def_2414, type, sK1772: ((real > real) > real > real > real)).
% 218.24/31.71 thf(func_def_2415, type, sK1773: ((real > real) > real > real > real)).
% 218.24/31.71 thf(func_def_2416, type, sK1774: ((real > real) > real > real > real)).
% 218.24/31.71 thf(func_def_2417, type, sK1775: (real > real > (real > real) > real)).
% 218.24/31.71 thf(func_def_2418, type, sK1776: ((real > real) > real > real > real)).
% 218.24/31.71 thf(func_def_2419, type, sK1777: !>[X0: $tType, X1: $tType]:((X1 > X1 > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2420, type, sK1778: !>[X0: $tType]:((X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2421, type, sK1779: !>[X0: $tType]:((X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2422, type, sK1780: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2423, type, sK1781: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2424, type, sK1782: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2425, type, sK1783: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_2426, type, sK1784: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > (X1 > $o) > X0))).
% 218.24/31.71 thf(func_def_2427, type, sK1785: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > (X1 > X0) > X0))).
% 218.24/31.71 thf(func_def_2428, type, sK1786: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2429, type, sK1787: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2430, type, sK1788: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2431, type, sK1789: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2432, type, sK1790: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2433, type, sK1791: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > nat > X0))).
% 218.24/31.71 thf(func_def_2434, type, sK1792: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1 > X1 > nat > X1))).
% 218.24/31.71 thf(func_def_2435, type, sK1793: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2436, type, sK1794: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2437, type, sK1795: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.71 thf(func_def_2438, type, sK1796: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2439, type, sK1797: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2440, type, sK1798: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2441, type, sK1799: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2442, type, sK1800: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2443, type, sK1801: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2444, type, sK1802: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2445, type, sK1803: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2446, type, sK1804: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2447, type, sK1805: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > set @ X2 > (X2 > X1) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2448, type, sK1806: !>[X0: $tType]:(((X0 > X0) > X0))).
% 218.24/31.71 thf(func_def_2449, type, sK1807: !>[X0: $tType]:(((X0 > X0) > X0))).
% 218.24/31.71 thf(func_def_2450, type, sK1808: !>[X0: $tType]:(X0)).
% 218.24/31.71 thf(func_def_2451, type, sK1809: !>[X0: $tType]:(X0)).
% 218.24/31.71 thf(func_def_2452, type, sK1810: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2453, type, sK1811: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2454, type, sK1812: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2455, type, sK1813: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2456, type, sK1814: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2457, type, sK1815: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2458, type, sK1816: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2459, type, sK1817: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2460, type, sK1818: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > set @ X0 > (X0 > X1) > set @ X2 > X2))).
% 218.24/31.71 thf(func_def_2461, type, sK1819: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2462, type, sK1820: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2463, type, sK1821: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > set @ X0 > set @ X1))).
% 218.24/31.71 thf(func_def_2464, type, sK1822: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2465, type, sK1823: !>[X0: $tType]:(((product_prod @ X0 @ X0 > $o) > product_prod @ X0 @ X0 > $o))).
% 218.24/31.71 thf(func_def_2466, type, sK1824: !>[X0: $tType]:(((product_prod @ X0 @ X0 > $o) > product_prod @ X0 @ X0 > $o))).
% 218.24/31.71 thf(func_def_2467, type, sK1825: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2468, type, sK1826: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2469, type, sK1827: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2470, type, sK1828: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2471, type, sK1829: !>[X0: $tType]:((set @ set @ X0 > set @ X0 > set @ set @ X0))).
% 218.24/31.71 thf(func_def_2472, type, sK1830: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2473, type, sK1831: !>[X0: $tType]:((set @ X0 > set @ set @ X0))).
% 218.24/31.71 thf(func_def_2474, type, sK1832: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > nat > X0))).
% 218.24/31.71 thf(func_def_2475, type, sK1833: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2476, type, sK1834: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2477, type, sK1835: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2478, type, sK1836: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.71 thf(func_def_2479, type, sK1837: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2480, type, sK1838: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2481, type, sK1839: !>[X0: $tType]:((X0 > X0 > set @ product_prod @ X0 @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_2482, type, sK1840: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2483, type, sK1841: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > X0 > X0 > nat))).
% 218.24/31.71 thf(func_def_2484, type, sK1842: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2485, type, sK1843: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > X0 > X0 > nat))).
% 218.24/31.71 thf(func_def_2486, type, sK1844: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.71 thf(func_def_2487, type, sK1845: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.71 thf(func_def_2488, type, sK1846: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1 > X1 > nat > X1))).
% 218.24/31.71 thf(func_def_2489, type, sK1847: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > X1 > X0 > X0))).
% 218.24/31.71 thf(func_def_2490, type, sK1848: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > X1 > X0 > X1))).
% 218.24/31.71 thf(func_def_2491, type, sK1849: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > X1 > X0 > X0))).
% 218.24/31.71 thf(func_def_2492, type, sK1850: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > X1 > X0 > X1))).
% 218.24/31.71 thf(func_def_2493, type, sK1851: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > X1 > X0 > X0))).
% 218.24/31.71 thf(func_def_2494, type, sK1852: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > X1 > X0 > X1))).
% 218.24/31.71 thf(func_def_2495, type, sK1853: !>[X0: $tType]:(((X0 > $o) > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2496, type, sK1854: !>[X0: $tType]:(((X0 > $o) > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2497, type, sK1855: !>[X0: $tType]:(((X0 > $o) > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2498, type, sK1856: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_2499, type, sK1857: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_2500, type, sK1858: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_2501, type, sK1859: !>[X0: $tType]:(((X0 > X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2502, type, sK1860: !>[X0: $tType]:(((X0 > X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2503, type, sK1861: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2504, type, sK1862: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2505, type, sK1863: !>[X0: $tType]:(((X0 > $o) > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2506, type, sK1864: !>[X0: $tType]:(((X0 > $o) > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2507, type, sK1865: !>[X0: $tType]:(((X0 > $o) > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2508, type, sK1866: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2509, type, sK1867: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2510, type, sK1868: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > set @ X1 > set @ X0))).
% 218.24/31.71 thf(func_def_2511, type, sK1869: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2512, type, sK1870: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2513, type, sK1871: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2514, type, sK1872: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2515, type, sK1873: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2516, type, sK1874: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2517, type, sK1875: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2518, type, sK1876: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2519, type, sK1877: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2520, type, sK1878: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > (X0 > set @ X2) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2521, type, sK1879: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2522, type, sK1880: !>[X0: $tType]:((set @ set @ X0 > set @ X0 > set @ set @ X0))).
% 218.24/31.71 thf(func_def_2523, type, sK1881: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2524, type, sK1882: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ set @ X1 > set @ X1))).
% 218.24/31.71 thf(func_def_2525, type, sK1883: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2526, type, sK1884: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2527, type, sK1885: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2528, type, sK1886: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2529, type, sK1887: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2530, type, sK1888: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2531, type, sK1889: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0) > (X2 > set @ X1) > set @ X2 > X2))).
% 218.24/31.71 thf(func_def_2532, type, sK1890: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2533, type, sK1891: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2534, type, sK1892: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > set @ X1) > (X1 > X0) > set @ X2 > X2))).
% 218.24/31.71 thf(func_def_2535, type, sK1893: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > set @ X0 > X1))).
% 218.24/31.71 thf(func_def_2536, type, sK1894: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > X1 > X0))).
% 218.24/31.71 thf(func_def_2537, type, sK1895: !>[X0: $tType]:((X0 > (X0 > X0) > nat))).
% 218.24/31.71 thf(func_def_2538, type, sK1896: (nat > set @ nat > nat)).
% 218.24/31.71 thf(func_def_2539, type, sK1897: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.71 thf(func_def_2540, type, sK1898: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_2541, type, sK1899: !>[X0: $tType]:((set @ X0 > X0 > nat))).
% 218.24/31.71 thf(func_def_2542, type, sK1900: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.71 thf(func_def_2543, type, sK1901: !>[X0: $tType]:((set @ nat > list @ X0 > nat))).
% 218.24/31.71 thf(func_def_2544, type, sK1902: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_2545, type, sK1903: !>[X0: $tType]:((X0 > (X0 > X0) > nat > nat))).
% 218.24/31.71 thf(func_def_2546, type, sK1904: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > X1 > X0 > X0))).
% 218.24/31.71 thf(func_def_2547, type, sK1905: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > X1 > X0 > X1))).
% 218.24/31.71 thf(func_def_2548, type, sK1906: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > X1 > X0 > X0))).
% 218.24/31.71 thf(func_def_2549, type, sK1907: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > X1 > X0 > X1))).
% 218.24/31.71 thf(func_def_2550, type, sK1908: !>[X0: $tType, X1: $tType]:((set @ product_prod @ product_prod @ X1 @ X0 @ product_prod @ X1 @ X0 > X0 > X1 > X0 > X1 > X1))).
% 218.24/31.71 thf(func_def_2551, type, sK1909: !>[X0: $tType, X1: $tType]:((set @ product_prod @ product_prod @ X1 @ X0 @ product_prod @ X1 @ X0 > X0 > X1 > X0 > X1 > X0))).
% 218.24/31.71 thf(func_def_2552, type, sK1910: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > X1 > X0 > X0))).
% 218.24/31.71 thf(func_def_2553, type, sK1911: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > X1 > X0 > X1))).
% 218.24/31.71 thf(func_def_2554, type, sK1912: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > X1 > X0 > X0))).
% 218.24/31.71 thf(func_def_2555, type, sK1913: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > X1 > X0 > X1))).
% 218.24/31.71 thf(func_def_2556, type, sK1914: !>[X0: $tType]:(((X0 > $o) > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2557, type, sK1915: !>[X0: $tType]:(((X0 > $o) > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2558, type, sK1916: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2559, type, sK1917: !>[X0: $tType]:(((X0 > $o) > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2560, type, sK1918: !>[X0: $tType]:(((X0 > $o) > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2561, type, sK1919: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2562, type, sK1920: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2563, type, sK1921: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2564, type, sK1922: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2565, type, sK1923: !>[X0: $tType, X1: $tType]:(((X1 > list @ X0) > (X1 > list @ X0) > list @ X1 > X1))).
% 218.24/31.71 thf(func_def_2566, type, sK1924: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2567, type, sK1925: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2568, type, sK1926: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2569, type, sK1927: !>[X0: $tType]:(((X0 > $o) > int))).
% 218.24/31.71 thf(func_def_2570, type, sK1928: !>[X0: $tType]:((X0 > int))).
% 218.24/31.71 thf(func_def_2571, type, sK1929: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2572, type, sK1930: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2573, type, sK1931: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2574, type, sK1932: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2575, type, sK1933: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2576, type, sK1934: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2577, type, sK1935: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 218.24/31.71 thf(func_def_2578, type, sK1936: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 218.24/31.71 thf(func_def_2579, type, sK1937: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 218.24/31.71 thf(func_def_2580, type, sK1938: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 218.24/31.71 thf(func_def_2581, type, sK1939: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 218.24/31.71 thf(func_def_2582, type, sK1940: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 218.24/31.71 thf(func_def_2583, type, sK1941: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 218.24/31.71 thf(func_def_2584, type, sK1942: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2585, type, sK1943: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2586, type, sK1944: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2587, type, sK1945: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2588, type, sK1946: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2589, type, sK1947: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2590, type, sK1948: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2591, type, sK1949: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2592, type, sK1950: !>[X0: $tType]:(((X0 > X0) > X0))).
% 218.24/31.71 thf(func_def_2593, type, sK1951: !>[X0: $tType]:(((X0 > X0) > X0))).
% 218.24/31.71 thf(func_def_2594, type, sK1952: !>[X0: $tType]:(X0)).
% 218.24/31.71 thf(func_def_2595, type, sK1953: !>[X0: $tType]:(X0)).
% 218.24/31.71 thf(func_def_2596, type, sK1954: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2597, type, sK1955: !>[X0: $tType]:(((X0 > X0) > X0))).
% 218.24/31.71 thf(func_def_2598, type, sK1956: !>[X0: $tType]:(((X0 > X0) > X0))).
% 218.24/31.71 thf(func_def_2599, type, sK1957: !>[X0: $tType]:(X0)).
% 218.24/31.71 thf(func_def_2600, type, sK1958: !>[X0: $tType]:(X0)).
% 218.24/31.71 thf(func_def_2601, type, sK1959: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ product_prod @ X2 @ X1 > set @ product_prod @ X0 @ X2 > X1 > X0 > X2))).
% 218.24/31.71 thf(func_def_2602, type, sK1960: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ product_prod @ X2 @ X1 > set @ product_prod @ X0 @ X2 > product_prod @ X0 @ X1 > X0))).
% 218.24/31.71 thf(func_def_2603, type, sK1961: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ product_prod @ X2 @ X1 > set @ product_prod @ X0 @ X2 > product_prod @ X0 @ X1 > X2))).
% 218.24/31.71 thf(func_def_2604, type, sK1962: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ product_prod @ X2 @ X1 > set @ product_prod @ X0 @ X2 > product_prod @ X0 @ X1 > X1))).
% 218.24/31.71 thf(func_def_2605, type, sK1963: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ product_prod @ X2 @ X1 > set @ product_prod @ X0 @ X2 > X1 > X0 > X2))).
% 218.24/31.71 thf(func_def_2606, type, sK1964: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2607, type, sK1965: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2608, type, sK1966: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2609, type, sK1967: !>[X0: $tType]:(((X0 > X0) > X0))).
% 218.24/31.71 thf(func_def_2610, type, sK1968: !>[X0: $tType]:(((X0 > X0) > X0))).
% 218.24/31.71 thf(func_def_2611, type, sK1969: !>[X0: $tType]:(X0)).
% 218.24/31.71 thf(func_def_2612, type, sK1970: !>[X0: $tType]:(X0)).
% 218.24/31.71 thf(func_def_2613, type, sK1971: !>[X0: $tType, X1: $tType]:((((X1 > X0) > $o) > X0 > X1))).
% 218.24/31.71 thf(func_def_2614, type, sK1972: !>[X0: $tType, X1: $tType]:((((X1 > X0) > $o) > X0 > X0))).
% 218.24/31.71 thf(func_def_2615, type, sK1973: !>[X0: $tType, X1: $tType]:((((X1 > X0) > $o) > X0 > X1 > X0))).
% 218.24/31.71 thf(func_def_2616, type, sK1974: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0 > X0) > (X1 > X0 > X0) > X1))).
% 218.24/31.71 thf(func_def_2617, type, sK1975: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > option @ X1) > X1 > X0))).
% 218.24/31.71 thf(func_def_2618, type, sK1976: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > X0 > X1))).
% 218.24/31.71 thf(func_def_2619, type, sK1977: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X0) > (X0 > X1 > X0) > list @ X1 > X0))).
% 218.24/31.71 thf(func_def_2620, type, sK1978: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X0) > (X0 > X1 > X0) > list @ X1 > X1))).
% 218.24/31.71 thf(func_def_2621, type, sK1979: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > X0))).
% 218.24/31.71 thf(func_def_2622, type, sK1980: !>[X0: $tType, X1: $tType]:((((X1 > option @ X0) > $o) > X1))).
% 218.24/31.71 thf(func_def_2623, type, sK1981: !>[X0: $tType, X1: $tType]:((((X1 > option @ X0) > $o) > X0))).
% 218.24/31.71 thf(func_def_2624, type, sK1982: !>[X0: $tType, X1: $tType]:((((X1 > option @ X0) > $o) > X1 > option @ X0))).
% 218.24/31.71 thf(func_def_2625, type, sK1983: ((real > real) > real)).
% 218.24/31.71 thf(func_def_2626, type, sK1984: ((real > real) > (real > real) > real)).
% 218.24/31.71 thf(func_def_2627, type, sK1985: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2628, type, sK1986: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2629, type, sK1987: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2630, type, sK1988: (set @ nat > nat > nat)).
% 218.24/31.71 thf(func_def_2631, type, sK1989: !>[X0: $tType]:(((nat > X0) > (nat > nat) > nat))).
% 218.24/31.71 thf(func_def_2632, type, sK1990: !>[X0: $tType]:(((nat > X0) > (nat > nat) > nat))).
% 218.24/31.71 thf(func_def_2633, type, sK1991: !>[X0: $tType]:(((nat > X0) > (nat > nat) > nat))).
% 218.24/31.71 thf(func_def_2634, type, sK1992: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.71 thf(func_def_2635, type, sK1993: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.71 thf(func_def_2636, type, sK1994: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 218.24/31.71 thf(func_def_2637, type, sK1995: !>[X0: $tType, X1: $tType]:(((list @ product_prod @ X0 @ X1 > $o) > list @ X1 > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2638, type, sK1996: !>[X0: $tType, X1: $tType]:(((list @ product_prod @ X0 @ X1 > $o) > list @ X1 > list @ X0 > list @ X1))).
% 218.24/31.71 thf(func_def_2639, type, sK1997: !>[X0: $tType, X1: $tType]:(((list @ product_prod @ X0 @ X1 > $o) > list @ X1 > list @ X0 > nat))).
% 218.24/31.71 thf(func_def_2640, type, sK1998: !>[X0: $tType]:((list @ X0 > list @ X0 > nat > nat))).
% 218.24/31.71 thf(func_def_2641, type, sK1999: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2642, type, sK2000: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2643, type, sK2001: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2644, type, sK2002: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2645, type, sK2003: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2646, type, sK2004: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2647, type, sK2005: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > list @ X0 > nat))).
% 218.24/31.71 thf(func_def_2648, type, sK2006: !>[X0: $tType]:((product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2649, type, sK2007: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2650, type, sK2008: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X0 @ X1 > X0 > X1))).
% 218.24/31.71 thf(func_def_2651, type, sK2009: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > list @ X1 > X1))).
% 218.24/31.71 thf(func_def_2652, type, sK2010: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > list @ X1 > X1))).
% 218.24/31.71 thf(func_def_2653, type, sK2011: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > list @ X1 > list @ X1 > X1))).
% 218.24/31.71 thf(func_def_2654, type, sK2012: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > list @ X1 > list @ X1 > X1))).
% 218.24/31.71 thf(func_def_2655, type, sK2013: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > list @ X1 > X1))).
% 218.24/31.71 thf(func_def_2656, type, sK2014: !>[X0: $tType]:(((X0 > X0) > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2657, type, sK2015: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > list @ X1 > X1))).
% 218.24/31.71 thf(func_def_2658, type, sK2016: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X1 @ X0 > list @ product_prod @ X1 @ X0 > X1))).
% 218.24/31.71 thf(func_def_2659, type, sK2017: !>[X0: $tType, X1: $tType]:((list @ X1 > X1 > list @ X0 > (X0 > X1) > X0))).
% 218.24/31.71 thf(func_def_2660, type, sK2018: !>[X0: $tType, X1: $tType]:((list @ X1 > X1 > list @ X0 > (X0 > X1) > list @ X0))).
% 218.24/31.71 thf(func_def_2661, type, sK2019: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > list @ X0 > X0 > X1))).
% 218.24/31.71 thf(func_def_2662, type, sK2020: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > list @ X0 > X0 > list @ X1))).
% 218.24/31.71 thf(func_def_2663, type, sK2021: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2664, type, sK2022: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2665, type, sK2023: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2666, type, sK2024: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2667, type, sK2025: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2668, type, sK2026: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2669, type, sK2027: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2670, type, sK2028: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2671, type, sK2029: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X0 > list @ X3 > $o) > X1))).
% 218.24/31.71 thf(func_def_2672, type, sK2030: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X0 > list @ X3 > $o) > list @ X1))).
% 218.24/31.71 thf(func_def_2673, type, sK2031: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X0 > list @ X3 > $o) > X2))).
% 218.24/31.71 thf(func_def_2674, type, sK2032: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X0 > list @ X3 > $o) > list @ X2))).
% 218.24/31.71 thf(func_def_2675, type, sK2033: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X0 > list @ X3 > $o) > X0))).
% 218.24/31.71 thf(func_def_2676, type, sK2034: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X0 > list @ X3 > $o) > list @ X0))).
% 218.24/31.71 thf(func_def_2677, type, sK2035: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X0 > list @ X3 > $o) > X3))).
% 218.24/31.71 thf(func_def_2678, type, sK2036: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X0 > list @ X3 > $o) > list @ X3))).
% 218.24/31.71 thf(func_def_2679, type, sK2037: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X1 > list @ X0 > list @ X2 > $o) > X1))).
% 218.24/31.71 thf(func_def_2680, type, sK2038: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X1 > list @ X0 > list @ X2 > $o) > list @ X1))).
% 218.24/31.71 thf(func_def_2681, type, sK2039: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X1 > list @ X0 > list @ X2 > $o) > X0))).
% 218.24/31.71 thf(func_def_2682, type, sK2040: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X1 > list @ X0 > list @ X2 > $o) > list @ X0))).
% 218.24/31.71 thf(func_def_2683, type, sK2041: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X1 > list @ X0 > list @ X2 > $o) > X2))).
% 218.24/31.71 thf(func_def_2684, type, sK2042: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X1 > list @ X0 > list @ X2 > $o) > list @ X2))).
% 218.24/31.71 thf(func_def_2685, type, sK2043: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 218.24/31.71 thf(func_def_2686, type, sK2044: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 218.24/31.71 thf(func_def_2687, type, sK2045: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 218.24/31.71 thf(func_def_2688, type, sK2046: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 218.24/31.71 thf(func_def_2689, type, sK2047: !>[X0: $tType]:((list @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2690, type, sK2048: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2691, type, sK2049: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2692, type, sK2050: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_2693, type, sK2051: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 218.24/31.71 thf(func_def_2694, type, sK2052: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_2695, type, sK2053: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 218.24/31.71 thf(func_def_2696, type, sK2054: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 218.24/31.71 thf(func_def_2697, type, sK2055: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 218.24/31.71 thf(func_def_2698, type, sK2056: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 218.24/31.71 thf(func_def_2699, type, sK2057: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 218.24/31.71 thf(func_def_2700, type, sK2058: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 218.24/31.71 thf(func_def_2701, type, sK2059: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 218.24/31.71 thf(func_def_2702, type, sK2060: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 218.24/31.71 thf(func_def_2703, type, sK2061: !>[X0: $tType]:((list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2704, type, sK2062: !>[X0: $tType]:((list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2705, type, sK2063: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2706, type, sK2064: !>[X0: $tType]:((list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2707, type, sK2065: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2708, type, sK2066: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2709, type, sK2067: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 218.24/31.71 thf(func_def_2710, type, sK2068: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 218.24/31.71 thf(func_def_2711, type, sK2069: !>[X0: $tType]:((list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2712, type, sK2070: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2713, type, sK2071: !>[X0: $tType]:((list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2714, type, sK2072: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2715, type, sK2073: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2716, type, sK2074: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2717, type, sK2075: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2718, type, sK2076: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2719, type, sK2077: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X0 @ X1 > product_prod @ X0 @ X1 > list @ X1 > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2720, type, sK2078: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X0 @ X1 > product_prod @ X0 @ X1 > list @ X1 > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2721, type, sK2079: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X0 @ X1 > product_prod @ X0 @ X1 > list @ X1 > list @ X0 > X1))).
% 218.24/31.71 thf(func_def_2722, type, sK2080: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X0 @ X1 > product_prod @ X0 @ X1 > list @ X1 > list @ X0 > list @ X1))).
% 218.24/31.71 thf(func_def_2723, type, sK2081: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_2724, type, sK2082: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2725, type, sK2083: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2726, type, sK2084: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2727, type, sK2085: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_2728, type, sK2086: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2729, type, sK2087: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_2730, type, sK2088: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1 > X0))).
% 218.24/31.71 thf(func_def_2731, type, sK2089: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1 > X0))).
% 218.24/31.71 thf(func_def_2732, type, sK2090: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1))).
% 218.24/31.71 thf(func_def_2733, type, sK2091: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1))).
% 218.24/31.71 thf(func_def_2734, type, sK2092: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > list @ X1))).
% 218.24/31.71 thf(func_def_2735, type, sK2093: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1 > X0))).
% 218.24/31.71 thf(func_def_2736, type, sK2094: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1))).
% 218.24/31.71 thf(func_def_2737, type, sK2095: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_2738, type, sK2096: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2739, type, sK2097: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2740, type, sK2098: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_2741, type, sK2099: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2742, type, sK2100: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2743, type, sK2101: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2744, type, sK2102: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2745, type, sK2103: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2746, type, sK2104: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2747, type, sK2105: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2748, type, sK2106: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2749, type, sK2107: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2750, type, sK2108: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2751, type, sK2109: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > X0 > X1))).
% 218.24/31.71 thf(func_def_2752, type, sK2110: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > X0))).
% 218.24/31.71 thf(func_def_2753, type, sK2111: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > list @ X0))).
% 218.24/31.71 thf(func_def_2754, type, sK2112: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > list @ X1))).
% 218.24/31.71 thf(func_def_2755, type, sK2113: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > X0 > X1))).
% 218.24/31.71 thf(func_def_2756, type, sK2114: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > list @ X1))).
% 218.24/31.71 thf(func_def_2757, type, sK2115: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X0 > X1 > $o) > X0))).
% 218.24/31.71 thf(func_def_2758, type, sK2116: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X0 > X1 > $o) > X1))).
% 218.24/31.71 thf(func_def_2759, type, sK2117: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X0 > X1 > $o) > list @ X0))).
% 218.24/31.71 thf(func_def_2760, type, sK2118: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X0 > X1 > $o) > list @ X1))).
% 218.24/31.71 thf(func_def_2761, type, sK2119: !>[X0: $tType, X1: $tType]:((X1 > (X1 > X0) > list @ X1 > X1))).
% 218.24/31.71 thf(func_def_2762, type, sK2120: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > list @ X0 > X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2763, type, sK2121: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > list @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2764, type, sK2122: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > X0 > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2765, type, sK2123: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > X0 > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2766, type, sK2124: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > list @ X0 > list @ X1 > X1 > X0))).
% 218.24/31.71 thf(func_def_2767, type, sK2125: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > list @ X0 > list @ X1 > X1 > list @ X0))).
% 218.24/31.71 thf(func_def_2768, type, sK2126: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > list @ X0 > X0 > list @ X1 > X1))).
% 218.24/31.71 thf(func_def_2769, type, sK2127: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > list @ X0 > X0 > list @ X1 > list @ X1))).
% 218.24/31.71 thf(func_def_2770, type, sK2128: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > list @ X0 > list @ X1 > X1))).
% 218.24/31.71 thf(func_def_2771, type, sK2129: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > list @ X0 > list @ X1 > X0))).
% 218.24/31.71 thf(func_def_2772, type, sK2130: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > list @ X0 > list @ X1 > list @ X1))).
% 218.24/31.71 thf(func_def_2773, type, sK2131: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > list @ X0 > list @ X1 > list @ X0))).
% 218.24/31.71 thf(func_def_2774, type, sK2132: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2775, type, sK2133: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2776, type, sK2134: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2777, type, sK2135: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2778, type, sK2136: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2779, type, sK2137: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2780, type, sK2138: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2781, type, sK2139: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2782, type, sK2140: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2783, type, sK2141: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2784, type, sK2142: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2785, type, sK2143: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2786, type, sK2144: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2787, type, sK2145: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2788, type, sK2146: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2789, type, sK2147: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2790, type, sK2148: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2791, type, sK2149: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2792, type, sK2150: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2793, type, sK2151: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2794, type, sK2152: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2795, type, sK2153: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2796, type, sK2154: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2797, type, sK2155: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2798, type, sK2156: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2799, type, sK2157: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2800, type, sK2158: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2801, type, sK2159: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2802, type, sK2160: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ list @ X0))).
% 218.24/31.71 thf(func_def_2803, type, sK2161: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2804, type, sK2162: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2805, type, sK2163: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ list @ X0))).
% 218.24/31.71 thf(func_def_2806, type, sK2164: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_2807, type, sK2165: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 218.24/31.71 thf(func_def_2808, type, sK2166: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_2809, type, sK2167: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2810, type, sK2168: !>[X0: $tType]:((list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2811, type, sK2169: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_2812, type, sK2170: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 218.24/31.71 thf(func_def_2813, type, sK2171: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 218.24/31.71 thf(func_def_2814, type, sK2172: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 218.24/31.71 thf(func_def_2815, type, sK2173: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2816, type, sK2174: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2817, type, sK2175: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2818, type, sK2176: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2819, type, sK2177: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2820, type, sK2178: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2821, type, sK2179: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2822, type, sK2180: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2823, type, sK2181: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2824, type, sK2182: !>[X0: $tType]:((list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2825, type, sK2183: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2826, type, sK2184: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2827, type, sK2185: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2828, type, sK2186: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2829, type, sK2187: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2830, type, sK2188: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2831, type, sK2189: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2832, type, sK2190: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 218.24/31.71 thf(func_def_2833, type, sK2191: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2834, type, sK2192: (nat > list @ nat > nat)).
% 218.24/31.71 thf(func_def_2835, type, sK2193: (nat > list @ nat > list @ nat)).
% 218.24/31.71 thf(func_def_2836, type, sK2194: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2837, type, sK2195: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2838, type, sK2196: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > list @ list @ X0))).
% 218.24/31.71 thf(func_def_2839, type, sK2197: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > list @ list @ X0))).
% 218.24/31.71 thf(func_def_2840, type, sK2198: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > list @ list @ X0))).
% 218.24/31.71 thf(func_def_2841, type, sK2199: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2842, type, sK2200: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2843, type, sK2201: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > list @ list @ X0))).
% 218.24/31.71 thf(func_def_2844, type, sK2202: !>[X0: $tType]:(((list @ list @ X0 > $o) > list @ list @ X0))).
% 218.24/31.71 thf(func_def_2845, type, sK2203: !>[X0: $tType]:(((list @ list @ X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_2846, type, sK2204: !>[X0: $tType]:(((list @ list @ X0 > $o) > list @ X0))).
% 218.24/31.71 thf(func_def_2847, type, sK2205: !>[X0: $tType]:(((list @ list @ X0 > $o) > list @ list @ X0))).
% 218.24/31.71 thf(func_def_2848, type, sK2206: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2849, type, sK2207: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2850, type, sK2208: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2851, type, sK2209: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2852, type, sK2210: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2853, type, sK2211: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2854, type, sK2212: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2855, type, sK2213: (nat > list @ nat > nat)).
% 218.24/31.71 thf(func_def_2856, type, sK2214: (nat > list @ nat > list @ nat)).
% 218.24/31.71 thf(func_def_2857, type, sK2215: !>[X0: $tType]:(((nat > X0) > nat > list @ X0 > nat))).
% 218.24/31.71 thf(func_def_2858, type, sK2216: !>[X0: $tType]:((nat > list @ list @ X0 > nat))).
% 218.24/31.71 thf(func_def_2859, type, sK2217: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2860, type, sK2218: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2861, type, sK2219: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > $o) > list @ X1 > X1))).
% 218.24/31.71 thf(func_def_2862, type, sK2220: !>[X0: $tType]:((list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2863, type, sK2221: !>[X0: $tType]:((list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2864, type, sK2222: !>[X0: $tType]:((list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2865, type, sK2223: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0 > X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2866, type, sK2224: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0 > X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2867, type, sK2225: !>[X0: $tType]:((list @ X0 > X0 > list @ X0 > (X0 > $o) > list @ X0))).
% 218.24/31.71 thf(func_def_2868, type, sK2226: !>[X0: $tType]:((list @ X0 > X0 > list @ X0 > (X0 > $o) > list @ X0))).
% 218.24/31.71 thf(func_def_2869, type, sK2227: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2870, type, sK2228: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > list @ X1 > X1))).
% 218.24/31.71 thf(func_def_2871, type, sK2229: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > list @ X1 > X1))).
% 218.24/31.71 thf(func_def_2872, type, sK2230: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > (X0 > X1 > X1) > list @ X0 > X1))).
% 218.24/31.71 thf(func_def_2873, type, sK2231: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > (X0 > X1 > X1) > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2874, type, sK2232: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.71 thf(func_def_2875, type, sK2233: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.71 thf(func_def_2876, type, sK2234: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2877, type, sK2235: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2878, type, sK2236: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_2879, type, sK2237: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 218.24/31.71 thf(func_def_2880, type, sK2238: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_2881, type, sK2239: !>[X0: $tType]:(($o > list @ X0 > (X0 > X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_2882, type, sK2240: !>[X0: $tType]:(($o > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 218.24/31.71 thf(func_def_2883, type, sK2241: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_2884, type, sK2242: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 218.24/31.71 thf(func_def_2885, type, sK2243: !>[X0: $tType]:((set @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2886, type, sK2244: !>[X0: $tType]:((set @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2887, type, sK2245: !>[X0: $tType]:((X0 > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2888, type, sK2246: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > (X0 > X0 > $o) > list @ X1))).
% 218.24/31.71 thf(func_def_2889, type, sK2247: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2890, type, sK2248: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2891, type, sK2249: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2892, type, sK2250: !>[X0: $tType]:((list @ X0 > (X0 > $o) > nat > nat))).
% 218.24/31.71 thf(func_def_2893, type, sK2251: !>[X0: $tType]:(((X0 > $o) > list @ X0 > nat > nat))).
% 218.24/31.71 thf(func_def_2894, type, sK2252: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2895, type, sK2253: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2896, type, sK2254: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2897, type, sK2255: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_2898, type, sK2256: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2899, type, sK2257: !>[X0: $tType]:((X0 > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2900, type, sK2258: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2901, type, sK2259: !>[X0: $tType, X1: $tType]:((X1 > list @ X1 > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2902, type, sK2260: !>[X0: $tType, X1: $tType]:((X1 > list @ X1 > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2903, type, sK2261: !>[X0: $tType, X1: $tType]:((X1 > list @ X1 > (X1 > X0) > list @ X1))).
% 218.24/31.71 thf(func_def_2904, type, sK2262: !>[X0: $tType]:((X0 > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2905, type, sK2263: !>[X0: $tType]:((list @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2906, type, sK2264: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 218.24/31.71 thf(func_def_2907, type, sK2265: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2908, type, sK2266: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2909, type, sK2267: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > product_prod @ X0 @ X1 > X0))).
% 218.24/31.71 thf(func_def_2910, type, sK2268: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > product_prod @ X0 @ X1 > X1))).
% 218.24/31.71 thf(func_def_2911, type, sK2269: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > (X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2912, type, sK2270: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > (X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2913, type, sK2271: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2914, type, sK2272: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2915, type, sK2273: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2916, type, sK2274: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > (X0 > $o) > X1))).
% 218.24/31.71 thf(func_def_2917, type, sK2275: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2918, type, sK2276: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X1))).
% 218.24/31.71 thf(func_def_2919, type, sK2277: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X1))).
% 218.24/31.71 thf(func_def_2920, type, sK2278: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2921, type, sK2279: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X0))).
% 218.24/31.71 thf(func_def_2922, type, sK2280: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X0))).
% 218.24/31.71 thf(func_def_2923, type, sK2281: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_2924, type, sK2282: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_2925, type, sK2283: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2926, type, sK2284: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2927, type, sK2285: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2928, type, sK2286: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2929, type, sK2287: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_2930, type, sK2288: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2931, type, sK2289: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > set @ X1) > (X0 > X1) > (X2 > set @ X0) > set @ X2 > X2))).
% 218.24/31.71 thf(func_def_2932, type, sK2290: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2933, type, sK2291: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2934, type, sK2292: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > X0 > X1))).
% 218.24/31.71 thf(func_def_2935, type, sK2293: !>[X0: $tType]:((X0 > set @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2936, type, sK2294: !>[X0: $tType]:((X0 > set @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_2937, type, sK2295: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_2938, type, sK2296: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_2939, type, sK2297: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2940, type, sK2298: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > (X0 > X2) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2941, type, sK2299: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_2942, type, sK2300: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > (X0 > X2) > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_2943, type, sK2301: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_2944, type, sK2302: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > X0 > X1))).
% 218.24/31.71 thf(func_def_2945, type, sK2303: !>[X0: $tType]:((set @ X0 > X0 > nat))).
% 218.24/31.71 thf(func_def_2946, type, sK2304: !>[X0: $tType]:(((X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2947, type, sK2305: !>[X0: $tType]:(((X0 > nat) > (X0 > nat) > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2948, type, sK2306: !>[X0: $tType]:(((X0 > nat) > (X0 > nat) > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2949, type, sK2307: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2950, type, sK2308: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_2951, type, sK2309: !>[X0: $tType]:((X0 > set @ X0 > set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2952, type, sK2310: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2953, type, sK2311: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > set @ product_prod @ X1 @ X1 > X0))).
% 218.24/31.71 thf(func_def_2954, type, sK2312: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2955, type, sK2313: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2956, type, sK2314: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2957, type, sK2315: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2958, type, sK2316: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2959, type, sK2317: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2960, type, sK2318: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_2961, type, sK2319: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2962, type, sK2320: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2963, type, sK2321: !>[X0: $tType]:(((X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2964, type, sK2322: !>[X0: $tType]:(((X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2965, type, sK2323: !>[X0: $tType]:(((nat > X0) > set @ product_prod @ X0 @ X0 > nat))).
% 218.24/31.71 thf(func_def_2966, type, sK2324: !>[X0: $tType]:(((X0 > X0) > (X0 > nat) > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_2967, type, sK2325: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > (X1 > set @ X0) > set @ product_prod @ X1 @ X1 > X1))).
% 218.24/31.71 thf(func_def_2968, type, sK2326: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > (X1 > set @ X0) > set @ product_prod @ X1 @ X1 > X1))).
% 218.24/31.71 thf(func_def_2969, type, sK2327: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > X1 > X0))).
% 218.24/31.71 thf(func_def_2970, type, sK2328: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > set @ product_prod @ X1 @ X1 > X1))).
% 218.24/31.71 thf(func_def_2971, type, sK2329: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > set @ product_prod @ X1 @ X1 > X1 > X0))).
% 218.24/31.71 thf(func_def_2972, type, sK2330: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > set @ product_prod @ X1 @ X1 > X1 > X0))).
% 218.24/31.71 thf(func_def_2973, type, sK2331: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > set @ product_prod @ X1 @ X1 > X1 > X0))).
% 218.24/31.71 thf(func_def_2974, type, sK2332: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > set @ product_prod @ X1 @ X1 > X1))).
% 218.24/31.71 thf(func_def_2975, type, sK2333: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > set @ product_prod @ X1 @ X1 > X0))).
% 218.24/31.71 thf(func_def_2976, type, sK2334: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > X1 > X0))).
% 218.24/31.71 thf(func_def_2977, type, sK2335: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > X1))).
% 218.24/31.71 thf(func_def_2978, type, sK2336: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > X1 > X0))).
% 218.24/31.71 thf(func_def_2979, type, sK2337: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_2980, type, sK2338: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > X1 > X0))).
% 218.24/31.71 thf(func_def_2981, type, sK2339: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > X1 > X0))).
% 218.24/31.71 thf(func_def_2982, type, sK2340: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > X1))).
% 218.24/31.71 thf(func_def_2983, type, sK2341: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2984, type, sK2342: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2985, type, sK2343: !>[X0: $tType]:((set @ set @ X0 > set @ set @ X0))).
% 218.24/31.71 thf(func_def_2986, type, sK2344: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2987, type, sK2345: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_2988, type, sK2346: !>[X0: $tType]:((set @ set @ X0 > set @ set @ X0))).
% 218.24/31.71 thf(func_def_2989, type, sK2347: !>[X0: $tType]:(((X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_2990, type, sK2348: (num > num > option @ num > num)).
% 218.24/31.71 thf(func_def_2991, type, sK2349: (num > num > option @ num > num)).
% 218.24/31.71 thf(func_def_2992, type, sK2350: (num > num > option @ num > num)).
% 218.24/31.71 thf(func_def_2993, type, sK2351: (num > num > option @ num > num)).
% 218.24/31.71 thf(func_def_2994, type, sK2352: (num > num > option @ num > num)).
% 218.24/31.71 thf(func_def_2995, type, sK2353: (num > num > option @ num > num)).
% 218.24/31.71 thf(func_def_2996, type, sK2354: (num > num > option @ num > num)).
% 218.24/31.71 thf(func_def_2997, type, sK2355: (num > num > option @ num > num)).
% 218.24/31.71 thf(func_def_2998, type, sK2356: (num > num)).
% 218.24/31.71 thf(func_def_2999, type, sK2357: (num > num)).
% 218.24/31.71 thf(func_def_3000, type, sK2358: (option @ num > num > num > num)).
% 218.24/31.71 thf(func_def_3001, type, sK2359: (option @ num > num > num > num)).
% 218.24/31.71 thf(func_def_3002, type, sK2360: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > option @ X1 > X1))).
% 218.24/31.71 thf(func_def_3003, type, sK2361: !>[X0: $tType]:((X0 > set @ X0 > (X0 > X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_3004, type, sK2362: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_3005, type, sK2363: (num > num > option @ num > num)).
% 218.24/31.71 thf(func_def_3006, type, sK2364: (num > num > option @ num > num)).
% 218.24/31.71 thf(func_def_3007, type, sK2365: (num > num)).
% 218.24/31.71 thf(func_def_3008, type, sK2366: (num > num > option @ num > num)).
% 218.24/31.71 thf(func_def_3009, type, sK2367: (num > num > option @ num > num)).
% 218.24/31.71 thf(func_def_3010, type, sK2368: (num > num > option @ num > num)).
% 218.24/31.71 thf(func_def_3011, type, sK2369: (num > num > option @ num > num)).
% 218.24/31.71 thf(func_def_3012, type, sK2370: (num > num)).
% 218.24/31.71 thf(func_def_3013, type, sK2371: (num > num)).
% 218.24/31.71 thf(func_def_3014, type, sK2372: (num > num)).
% 218.24/31.71 thf(func_def_3015, type, sK2373: (option @ num > num > num > num)).
% 218.24/31.71 thf(func_def_3016, type, sK2374: (option @ num > num > num > num)).
% 218.24/31.71 thf(func_def_3017, type, sK2375: (num > num > option @ num > num)).
% 218.24/31.71 thf(func_def_3018, type, sK2376: (num > num > option @ num > num)).
% 218.24/31.71 thf(func_def_3019, type, sK2377: (num > num > option @ num > num)).
% 218.24/31.71 thf(func_def_3020, type, sK2378: (num > num > option @ num > num)).
% 218.24/31.71 thf(func_def_3021, type, sK2379: (num > num > option @ num > num)).
% 218.24/31.71 thf(func_def_3022, type, sK2380: (num > num > option @ num > num)).
% 218.24/31.71 thf(func_def_3023, type, sK2381: (num > num > option @ num > num)).
% 218.24/31.71 thf(func_def_3024, type, sK2382: (num > num > option @ num > num)).
% 218.24/31.71 thf(func_def_3025, type, sK2383: (num > option @ num > num)).
% 218.24/31.71 thf(func_def_3026, type, sK2384: (num > option @ num > num)).
% 218.24/31.71 thf(func_def_3027, type, sK2385: (option @ num > num > num > num)).
% 218.24/31.71 thf(func_def_3028, type, sK2386: (option @ num > num > num > num)).
% 218.24/31.71 thf(func_def_3029, type, sK2387: !>[X0: $tType]:(((X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_3030, type, sK2388: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_3031, type, sK2389: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.71 thf(func_def_3032, type, sK2390: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_3033, type, sK2391: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.71 thf(func_def_3034, type, sK2392: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_3035, type, sK2393: !>[X0: $tType]:(((X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_3036, type, sK2394: !>[X0: $tType]:(((X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_3037, type, sK2395: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X1 > nat > X0))).
% 218.24/31.71 thf(func_def_3038, type, sK2396: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X1 > nat))).
% 218.24/31.71 thf(func_def_3039, type, sK2397: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_3040, type, sK2398: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ X1 > nat > X0))).
% 218.24/31.71 thf(func_def_3041, type, sK2399: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ X1 > nat))).
% 218.24/31.71 thf(func_def_3042, type, sK2400: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ X1 > nat))).
% 218.24/31.71 thf(func_def_3043, type, sK2401: !>[X0: $tType, X1: $tType]:((option @ X1 > X0 > (X1 > X0) > X1))).
% 218.24/31.71 thf(func_def_3044, type, sK2402: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_3045, type, sK2403: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3046, type, sK2404: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3047, type, sK2405: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3048, type, sK2406: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3049, type, sK2407: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3050, type, sK2408: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3051, type, sK2409: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3052, type, sK2410: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3053, type, sK2411: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3054, type, sK2412: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3055, type, sK2413: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3056, type, sK2414: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3057, type, sK2415: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3058, type, sK2416: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3059, type, sK2417: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3060, type, sK2418: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3061, type, sK2419: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3062, type, sK2420: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3063, type, sK2421: !>[X0: $tType]:((set @ X0 > (set @ X0 > $o) > set @ X0))).
% 218.24/31.71 thf(func_def_3064, type, sK2422: !>[X0: $tType]:(((X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3065, type, sK2423: !>[X0: $tType]:(((X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3066, type, sK2424: ((nat > $o) > nat)).
% 218.24/31.71 thf(func_def_3067, type, sK2425: !>[X0: $tType]:(((X0 > $o) > (X0 > X0) > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_3068, type, sK2426: !>[X0: $tType]:(((X0 > $o) > (X0 > X0) > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_3069, type, sK2427: !>[X0: $tType]:(((X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_3070, type, sK2428: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3071, type, sK2429: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3072, type, sK2430: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3073, type, sK2431: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3074, type, sK2432: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3075, type, sK2433: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3076, type, sK2434: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3077, type, sK2435: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3078, type, sK2436: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3079, type, sK2437: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3080, type, sK2438: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3081, type, sK2439: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3082, type, sK2440: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3083, type, sK2441: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3084, type, sK2442: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3085, type, sK2443: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3086, type, sK2444: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3087, type, sK2445: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3088, type, sK2446: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3089, type, sK2447: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3090, type, sK2448: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3091, type, sK2449: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3092, type, sK2450: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3093, type, sK2451: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3094, type, sK2452: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3095, type, sK2453: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3096, type, sK2454: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3097, type, sK2455: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_3098, type, sK2456: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_3099, type, sK2457: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_3100, type, sK2458: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_3101, type, sK2459: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_3102, type, sK2460: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_3103, type, sK2461: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3104, type, sK2462: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3105, type, sK2463: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3106, type, sK2464: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3107, type, sK2465: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3108, type, sK2466: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3109, type, sK2467: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3110, type, sK2468: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3111, type, sK2469: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3112, type, sK2470: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3113, type, sK2471: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3114, type, sK2472: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3115, type, sK2473: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3116, type, sK2474: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3117, type, sK2475: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3118, type, sK2476: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3119, type, sK2477: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3120, type, sK2478: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3121, type, sK2479: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3122, type, sK2480: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3123, type, sK2481: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3124, type, sK2482: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3125, type, sK2483: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3126, type, sK2484: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3127, type, sK2485: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_3128, type, sK2486: ((int > $o) > int > int)).
% 218.24/31.71 thf(func_def_3129, type, sK2487: ((int > $o) > int > int)).
% 218.24/31.71 thf(func_def_3130, type, sK2488: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3131, type, sK2489: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > (list @ X0 > $o) > list @ X0))).
% 218.24/31.71 thf(func_def_3132, type, sK2490: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3133, type, sK2491: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3134, type, sK2492: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3135, type, sK2493: !>[X0: $tType]:(((X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3136, type, sK2494: !>[X0: $tType]:(((X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3137, type, sK2495: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_3138, type, sK2496: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_3139, type, sK2497: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_3140, type, sK2498: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_3141, type, sK2499: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_3142, type, sK2500: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3143, type, sK2501: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3144, type, sK2502: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3145, type, sK2503: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3146, type, sK2504: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_3147, type, sK2505: !>[X0: $tType]:((X0 > X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3148, type, sK2506: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3149, type, sK2507: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_3150, type, sK2508: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3151, type, sK2509: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3152, type, sK2510: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3153, type, sK2511: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3154, type, sK2512: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > (X0 > $o) > X0 > X0))).
% 218.24/31.71 thf(func_def_3155, type, sK2513: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3156, type, sK2514: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3157, type, sK2515: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3158, type, sK2516: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3159, type, sK2517: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (list @ X0 > $o) > list @ X0))).
% 218.24/31.71 thf(func_def_3160, type, sK2518: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3161, type, sK2519: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3162, type, sK2520: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3163, type, sK2521: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3164, type, sK2522: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (list @ X0 > $o) > list @ X0))).
% 218.24/31.71 thf(func_def_3165, type, sK2523: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3166, type, sK2524: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3167, type, sK2525: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3168, type, sK2526: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > $o))).
% 218.24/31.71 thf(func_def_3169, type, sK2527: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_3170, type, sK2528: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_3171, type, sK2529: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0))).
% 218.24/31.71 thf(func_def_3172, type, sK2530: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_3173, type, sK2531: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3174, type, sK2532: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (list @ X0 > $o) > list @ X0))).
% 218.24/31.71 thf(func_def_3175, type, sK2533: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3176, type, sK2534: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3177, type, sK2535: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3178, type, sK2536: !>[X0: $tType]:(((X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_3179, type, sK2537: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0))).
% 218.24/31.71 thf(func_def_3180, type, sK2538: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_3181, type, sK2539: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_3182, type, sK2540: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3183, type, sK2541: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > $o) > X0))).
% 218.24/31.71 thf(func_def_3184, type, sK2542: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 218.24/31.71 thf(func_def_3185, type, sK2543: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > X0))).
% 218.24/31.71 thf(func_def_3186, type, sK2544: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3187, type, sK2545: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.71 thf(func_def_3188, type, sK2546: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3189, type, sK2547: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3190, type, sK2548: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3191, type, sK2549: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3192, type, sK2550: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_3193, type, sK2551: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.71 thf(func_def_3194, type, sK2552: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_3195, type, sK2553: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.71 thf(func_def_3196, type, sK2554: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > nat > X0))).
% 218.24/31.71 thf(func_def_3197, type, sK2555: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > nat))).
% 218.24/31.71 thf(func_def_3198, type, sK2556: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_3199, type, sK2557: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.71 thf(func_def_3200, type, sK2558: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_3201, type, sK2559: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.71 thf(func_def_3202, type, sK2560: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_3203, type, sK2561: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.71 thf(func_def_3204, type, sK2562: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > X0 > X1))).
% 218.24/31.71 thf(func_def_3205, type, sK2563: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3206, type, sK2564: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_3207, type, sK2565: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat))).
% 218.24/31.71 thf(func_def_3208, type, sK2566: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3209, type, sK2567: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3210, type, sK2568: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3211, type, sK2569: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3212, type, sK2570: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3213, type, sK2571: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3214, type, sK2572: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3215, type, sK2573: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3216, type, sK2574: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3217, type, sK2575: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3218, type, sK2576: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3219, type, sK2577: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3220, type, sK2578: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_3221, type, sK2579: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.71 thf(func_def_3222, type, sK2580: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_3223, type, sK2581: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.71 thf(func_def_3224, type, sK2582: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_3225, type, sK2583: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.71 thf(func_def_3226, type, sK2584: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_3227, type, sK2585: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.71 thf(func_def_3228, type, sK2586: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X0 > nat > X1))).
% 218.24/31.71 thf(func_def_3229, type, sK2587: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X0 > nat))).
% 218.24/31.71 thf(func_def_3230, type, sK2588: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X0 > nat > X1))).
% 218.24/31.71 thf(func_def_3231, type, sK2589: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X0 > nat))).
% 218.24/31.71 thf(func_def_3232, type, sK2590: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_3233, type, sK2591: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.71 thf(func_def_3234, type, sK2592: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_3235, type, sK2593: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.71 thf(func_def_3236, type, sK2594: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_3237, type, sK2595: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.71 thf(func_def_3238, type, sK2596: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_3239, type, sK2597: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.71 thf(func_def_3240, type, sK2598: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_3241, type, sK2599: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.71 thf(func_def_3242, type, sK2600: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_3243, type, sK2601: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.71 thf(func_def_3244, type, sK2602: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X1 > nat > X0))).
% 218.24/31.71 thf(func_def_3245, type, sK2603: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X1 > nat))).
% 218.24/31.71 thf(func_def_3246, type, sK2604: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X0 > nat > X1))).
% 218.24/31.71 thf(func_def_3247, type, sK2605: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X0 > nat))).
% 218.24/31.71 thf(func_def_3248, type, sK2606: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X0 > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_3249, type, sK2607: (set @ nat > nat > nat)).
% 218.24/31.71 thf(func_def_3250, type, sK2608: (set @ nat > nat)).
% 218.24/31.71 thf(func_def_3251, type, sK2609: (set @ nat > nat > nat)).
% 218.24/31.71 thf(func_def_3252, type, sK2610: (set @ nat > nat)).
% 218.24/31.71 thf(func_def_3253, type, sK2611: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3254, type, sK2612: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3255, type, sK2613: !>[X0: $tType]:((nat > list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3256, type, sK2614: !>[X0: $tType]:((nat > list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3257, type, sK2615: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_3258, type, sK2616: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_3259, type, sK2617: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.71 thf(func_def_3260, type, sK2618: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.71 thf(func_def_3261, type, sK2619: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_3262, type, sK2620: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.71 thf(func_def_3263, type, sK2621: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_3264, type, sK2622: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.71 thf(func_def_3265, type, sK2623: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > nat > product_prod @ X0 @ X1))).
% 218.24/31.71 thf(func_def_3266, type, sK2624: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > nat))).
% 218.24/31.71 thf(func_def_3267, type, sK2625: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > nat > product_prod @ X0 @ X1))).
% 218.24/31.71 thf(func_def_3268, type, sK2626: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > nat))).
% 218.24/31.71 thf(func_def_3269, type, sK2627: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > nat > product_prod @ X0 @ X1))).
% 218.24/31.71 thf(func_def_3270, type, sK2628: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > nat))).
% 218.24/31.71 thf(func_def_3271, type, sK2629: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_3272, type, sK2630: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.71 thf(func_def_3273, type, sK2631: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.71 thf(func_def_3274, type, sK2632: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.71 thf(func_def_3275, type, sK2633: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > nat > product_prod @ X1 @ X0))).
% 218.24/31.71 thf(func_def_3276, type, sK2634: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > nat))).
% 218.24/31.71 thf(func_def_3277, type, sK2635: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > nat > product_prod @ X1 @ X0))).
% 218.24/31.71 thf(func_def_3278, type, sK2636: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > nat))).
% 218.24/31.71 thf(func_def_3279, type, sK2637: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > nat > product_prod @ X1 @ X0))).
% 218.24/31.71 thf(func_def_3280, type, sK2638: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > nat))).
% 218.24/31.71 thf(func_def_3281, type, sK2639: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.71 thf(func_def_3282, type, sK2640: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > nat > product_prod @ X1 @ X0))).
% 218.24/31.71 thf(func_def_3283, type, sK2641: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > nat))).
% 218.24/31.71 thf(func_def_3284, type, sK2642: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > nat > product_prod @ X1 @ X0))).
% 218.24/31.71 thf(func_def_3285, type, sK2643: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > nat))).
% 218.24/31.71 thf(func_def_3286, type, sK2644: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3287, type, sK2645: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3288, type, sK2646: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3289, type, sK2647: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3290, type, sK2648: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3291, type, sK2649: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3292, type, sK2650: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3293, type, sK2651: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3294, type, sK2652: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3295, type, sK2653: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3296, type, sK2654: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3297, type, sK2655: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3298, type, sK2656: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3299, type, sK2657: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_3300, type, sK2658: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3301, type, sK2659: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.71 thf(func_def_3302, type, sK2660: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3303, type, sK2661: !>[X0: $tType, X1: $tType]:(((X1 > X0) > list @ X1 > (X0 > X0 > $o) > nat))).
% 218.24/31.71 thf(func_def_3304, type, sK2662: !>[X0: $tType, X1: $tType]:(((X1 > X0) > list @ X1 > (X0 > X0 > $o) > nat))).
% 218.24/31.71 thf(func_def_3305, type, sK2663: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3306, type, sK2664: !>[X0: $tType, X1: $tType]:(((X1 > X0) > list @ X1 > (X0 > X0 > $o) > nat))).
% 218.24/31.71 thf(func_def_3307, type, sK2665: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > (X0 > X0 > $o) > nat))).
% 218.24/31.71 thf(func_def_3308, type, sK2666: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > (X0 > X0 > $o) > nat))).
% 218.24/31.71 thf(func_def_3309, type, sK2667: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.71 thf(func_def_3310, type, sK2668: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.71 thf(func_def_3311, type, sK2669: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3312, type, sK2670: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3313, type, sK2671: !>[X0: $tType, X1: $tType]:(((X1 > X0) > list @ X1 > nat))).
% 218.24/31.71 thf(func_def_3314, type, sK2672: !>[X0: $tType, X1: $tType]:(((X1 > X0) > list @ X1 > nat))).
% 218.24/31.71 thf(func_def_3315, type, sK2673: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3316, type, sK2674: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3317, type, sK2675: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.71 thf(func_def_3318, type, sK2676: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3319, type, sK2677: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3320, type, sK2678: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3321, type, sK2679: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3322, type, sK2680: !>[X0: $tType]:(nat)).
% 218.24/31.71 thf(func_def_3323, type, sK2681: !>[X0: $tType]:(nat)).
% 218.24/31.71 thf(func_def_3324, type, sK2682: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3325, type, sK2683: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3326, type, sK2684: !>[X0: $tType]:(nat)).
% 218.24/31.71 thf(func_def_3327, type, sK2685: !>[X0: $tType]:(nat)).
% 218.24/31.71 thf(func_def_3328, type, sK2686: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3329, type, sK2687: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3330, type, sK2688: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3331, type, sK2689: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3332, type, sK2690: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3333, type, sK2691: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3334, type, sK2692: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3335, type, sK2693: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3336, type, sK2694: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3337, type, sK2695: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3338, type, sK2696: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3339, type, sK2697: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3340, type, sK2698: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3341, type, sK2699: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3342, type, sK2700: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3343, type, sK2701: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3344, type, sK2702: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3345, type, sK2703: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3346, type, sK2704: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3347, type, sK2705: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3348, type, sK2706: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3349, type, sK2707: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3350, type, sK2708: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3351, type, sK2709: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.71 thf(func_def_3352, type, sK2710: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.71 thf(func_def_3353, type, sK2711: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3354, type, sK2712: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3355, type, sK2713: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3356, type, sK2714: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3357, type, sK2715: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3358, type, sK2716: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3359, type, sK2717: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.71 thf(func_def_3360, type, sK2718: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.71 thf(func_def_3361, type, sK2719: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.71 thf(func_def_3362, type, sK2720: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.71 thf(func_def_3363, type, sK2721: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.71 thf(func_def_3364, type, sK2722: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.71 thf(func_def_3365, type, sK2723: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.71 thf(func_def_3366, type, sK2724: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.71 thf(func_def_3367, type, sK2725: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.71 thf(func_def_3368, type, sK2726: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.71 thf(func_def_3369, type, sK2727: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.71 thf(func_def_3370, type, sK2728: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.71 thf(func_def_3371, type, sK2729: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.71 thf(func_def_3372, type, sK2730: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3373, type, sK2731: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3374, type, sK2732: (list @ nat > nat)).
% 218.24/31.71 thf(func_def_3375, type, sK2733: (list @ nat > nat)).
% 218.24/31.71 thf(func_def_3376, type, sK2734: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3377, type, sK2735: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3378, type, sK2736: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3379, type, sK2737: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3380, type, sK2738: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3381, type, sK2739: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3382, type, sK2740: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3383, type, sK2741: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3384, type, sK2742: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3385, type, sK2743: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3386, type, sK2744: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3387, type, sK2745: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.71 thf(func_def_3388, type, sK2746: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.71 thf(func_def_3389, type, sK2747: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3390, type, sK2748: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3391, type, sK2749: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3392, type, sK2750: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3393, type, sK2751: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.71 thf(func_def_3394, type, sK2752: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3395, type, sK2753: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3396, type, sK2754: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3397, type, sK2755: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3398, type, sK2756: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3399, type, sK2757: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3400, type, sK2758: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3401, type, sK2759: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3402, type, sK2760: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3403, type, sK2761: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3404, type, sK2762: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3405, type, sK2763: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3406, type, sK2764: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3407, type, sK2765: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3408, type, sK2766: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3409, type, sK2767: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > X0))).
% 218.24/31.72 thf(func_def_3410, type, sK2768: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3411, type, sK2769: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3412, type, sK2770: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3413, type, sK2771: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3414, type, sK2772: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3415, type, sK2773: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3416, type, sK2774: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3417, type, sK2775: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > X0))).
% 218.24/31.72 thf(func_def_3418, type, sK2776: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3419, type, sK2777: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3420, type, sK2778: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3421, type, sK2779: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3422, type, sK2780: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3423, type, sK2781: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3424, type, sK2782: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3425, type, sK2783: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3426, type, sK2784: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > X0 > nat))).
% 218.24/31.72 thf(func_def_3427, type, sK2785: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3428, type, sK2786: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > X0 > nat))).
% 218.24/31.72 thf(func_def_3429, type, sK2787: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3430, type, sK2788: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3431, type, sK2789: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3432, type, sK2790: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3433, type, sK2791: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3434, type, sK2792: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3435, type, sK2793: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3436, type, sK2794: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3437, type, sK2795: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3438, type, sK2796: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3439, type, sK2797: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3440, type, sK2798: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3441, type, sK2799: !>[X0: $tType]:((X0 > list @ X0 > X0))).
% 218.24/31.72 thf(func_def_3442, type, sK2800: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3443, type, sK2801: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3444, type, sK2802: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3445, type, sK2803: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3446, type, sK2804: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3447, type, sK2805: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3448, type, sK2806: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3449, type, sK2807: !>[X0: $tType]:((X0 > list @ X0 > X0))).
% 218.24/31.72 thf(func_def_3450, type, sK2808: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3451, type, sK2809: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3452, type, sK2810: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3453, type, sK2811: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3454, type, sK2812: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3455, type, sK2813: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3456, type, sK2814: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3457, type, sK2815: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3458, type, sK2816: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3459, type, sK2817: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 218.24/31.72 thf(func_def_3460, type, sK2818: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3461, type, sK2819: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3462, type, sK2820: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3463, type, sK2821: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3464, type, sK2822: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 218.24/31.72 thf(func_def_3465, type, sK2823: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3466, type, sK2824: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3467, type, sK2825: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3468, type, sK2826: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3469, type, sK2827: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3470, type, sK2828: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3471, type, sK2829: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3472, type, sK2830: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3473, type, sK2831: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3474, type, sK2832: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3475, type, sK2833: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3476, type, sK2834: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3477, type, sK2835: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > X0))).
% 218.24/31.72 thf(func_def_3478, type, sK2836: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3479, type, sK2837: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3480, type, sK2838: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3481, type, sK2839: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3482, type, sK2840: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > X0))).
% 218.24/31.72 thf(func_def_3483, type, sK2841: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3484, type, sK2842: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3485, type, sK2843: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3486, type, sK2844: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3487, type, sK2845: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3488, type, sK2846: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3489, type, sK2847: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3490, type, sK2848: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3491, type, sK2849: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3492, type, sK2850: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3493, type, sK2851: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3494, type, sK2852: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3495, type, sK2853: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3496, type, sK2854: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3497, type, sK2855: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3498, type, sK2856: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3499, type, sK2857: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3500, type, sK2858: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3501, type, sK2859: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3502, type, sK2860: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3503, type, sK2861: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3504, type, sK2862: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3505, type, sK2863: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3506, type, sK2864: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3507, type, sK2865: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3508, type, sK2866: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3509, type, sK2867: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3510, type, sK2868: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3511, type, sK2869: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3512, type, sK2870: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3513, type, sK2871: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_3514, type, sK2872: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_3515, type, sK2873: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_3516, type, sK2874: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_3517, type, sK2875: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_3518, type, sK2876: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_3519, type, sK2877: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_3520, type, sK2878: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_3521, type, sK2879: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3522, type, sK2880: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3523, type, sK2881: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3524, type, sK2882: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3525, type, sK2883: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3526, type, sK2884: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3527, type, sK2885: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3528, type, sK2886: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3529, type, sK2887: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3530, type, sK2888: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3531, type, sK2889: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3532, type, sK2890: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3533, type, sK2891: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3534, type, sK2892: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3535, type, sK2893: !>[X0: $tType]:((X0 > list @ X0 > X0 > nat))).
% 218.24/31.72 thf(func_def_3536, type, sK2894: !>[X0: $tType]:((X0 > list @ X0 > X0 > nat))).
% 218.24/31.72 thf(func_def_3537, type, sK2895: !>[X0: $tType]:((X0 > list @ X0 > X0 > nat))).
% 218.24/31.72 thf(func_def_3538, type, sK2896: !>[X0: $tType]:((X0 > list @ X0 > X0 > nat))).
% 218.24/31.72 thf(func_def_3539, type, sK2897: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3540, type, sK2898: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3541, type, sK2899: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3542, type, sK2900: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3543, type, sK2901: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3544, type, sK2902: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3545, type, sK2903: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3546, type, sK2904: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3547, type, sK2905: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3548, type, sK2906: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3549, type, sK2907: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3550, type, sK2908: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3551, type, sK2909: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3552, type, sK2910: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3553, type, sK2911: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3554, type, sK2912: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3555, type, sK2913: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3556, type, sK2914: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3557, type, sK2915: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_3558, type, sK2916: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_3559, type, sK2917: !>[X0: $tType, X1: $tType]:((X1 > list @ X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_3560, type, sK2918: !>[X0: $tType, X1: $tType]:((X1 > list @ X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_3561, type, sK2919: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_3562, type, sK2920: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_3563, type, sK2921: !>[X0: $tType, X1: $tType]:(((X1 > X0) > list @ X1 > (X0 > X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_3564, type, sK2922: !>[X0: $tType, X1: $tType]:(((X1 > X0) > list @ X1 > (X0 > X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_3565, type, sK2923: !>[X0: $tType, X1: $tType]:(((X1 > X0) > list @ X1 > (X0 > X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_3566, type, sK2924: !>[X0: $tType, X1: $tType]:(((X1 > X0) > list @ X1 > (X0 > X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_3567, type, sK2925: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_3568, type, sK2926: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_3569, type, sK2927: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_3570, type, sK2928: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_3571, type, sK2929: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_3572, type, sK2930: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_3573, type, sK2931: (list @ nat > nat)).
% 218.24/31.72 thf(func_def_3574, type, sK2932: (list @ nat > nat)).
% 218.24/31.72 thf(func_def_3575, type, sK2933: (list @ nat > nat)).
% 218.24/31.72 thf(func_def_3576, type, sK2934: (list @ nat > nat)).
% 218.24/31.72 thf(func_def_3577, type, sK2935: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3578, type, sK2936: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3579, type, sK2937: !>[X0: $tType]:((list @ X0 > X0))).
% 218.24/31.72 thf(func_def_3580, type, sK2938: !>[X0: $tType]:((list @ X0 > X0))).
% 218.24/31.72 thf(func_def_3581, type, sK2939: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3582, type, sK2940: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3583, type, sK2941: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3584, type, sK2942: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3585, type, sK2943: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3586, type, sK2944: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3587, type, sK2945: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3588, type, sK2946: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3589, type, sK2947: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3590, type, sK2948: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3591, type, sK2949: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.72 thf(func_def_3592, type, sK2950: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3593, type, sK2951: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3594, type, sK2952: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0 > list @ X0 > list @ X0))).
% 218.24/31.72 thf(func_def_3595, type, sK2953: !>[X0: $tType]:(((X0 > $o) > X0 > list @ X0 > list @ X0 > list @ X0))).
% 218.24/31.72 thf(func_def_3596, type, sK2954: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.72 thf(func_def_3597, type, sK2955: !>[X0: $tType]:((X0 > (X0 > $o) > list @ X0 > list @ X0 > list @ X0))).
% 218.24/31.72 thf(func_def_3598, type, sK2956: !>[X0: $tType]:((X0 > (X0 > $o) > list @ X0 > list @ X0 > list @ X0))).
% 218.24/31.72 thf(func_def_3599, type, sK2957: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.72 thf(func_def_3600, type, sK2958: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.72 thf(func_def_3601, type, sK2959: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.72 thf(func_def_3602, type, sK2960: !>[X0: $tType]:((list @ X0 > X0))).
% 218.24/31.72 thf(func_def_3603, type, sK2961: !>[X0: $tType]:((list @ X0 > X0))).
% 218.24/31.72 thf(func_def_3604, type, sK2962: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_3605, type, sK2963: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_3606, type, sK2964: !>[X0: $tType]:((list @ X0 > X0))).
% 218.24/31.72 thf(func_def_3607, type, sK2965: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.72 thf(func_def_3608, type, sK2966: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.72 thf(func_def_3609, type, sK2967: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 218.24/31.72 thf(func_def_3610, type, db10: !>[X0: $tType]:(X0)).
% 218.24/31.72 thf(func_def_3611, type, sK2968: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3612, type, sK2969: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3613, type, sK2970: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3614, type, sK2971: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3615, type, sK2972: !>[X0: $tType]:((list @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 218.24/31.72 thf(func_def_3616, type, sK2973: !>[X0: $tType]:((list @ X0 > nat > list @ X0))).
% 218.24/31.72 thf(func_def_3617, type, sK2974: !>[X0: $tType]:((list @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3618, type, sK2975: !>[X0: $tType]:((X0 > list @ X0 > list @ X0 > list @ X0))).
% 218.24/31.72 thf(func_def_3619, type, sK2976: !>[X0: $tType]:((X0 > list @ X0 > list @ X0 > list @ X0))).
% 218.24/31.72 thf(func_def_3620, type, sK2977: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 218.24/31.72 thf(func_def_3621, type, sK2978: !>[X0: $tType]:((list @ X0 > X0))).
% 218.24/31.72 thf(func_def_3622, type, sK2979: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 218.24/31.72 thf(func_def_3623, type, sK2980: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3624, type, sK2981: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3625, type, sK2982: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3626, type, sK2983: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3627, type, sK2984: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3628, type, sK2985: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3629, type, sK2986: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3630, type, sK2987: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3631, type, sK2988: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3632, type, sK2989: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3633, type, sK2990: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 218.24/31.72 thf(func_def_3634, type, sK2991: !>[X0: $tType]:((X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 218.24/31.72 thf(func_def_3635, type, sK2992: !>[X0: $tType]:((list @ X0 > X0 > list @ X0 > list @ X0 > list @ X0))).
% 218.24/31.72 thf(func_def_3636, type, sK2993: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ list @ X0))).
% 218.24/31.72 thf(func_def_3637, type, sK2994: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 218.24/31.72 thf(func_def_3638, type, sK2995: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 218.24/31.72 thf(func_def_3639, type, sK2996: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ list @ X0))).
% 218.24/31.72 thf(func_def_3640, type, sK2997: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_3641, type, sK2998: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 218.24/31.72 thf(func_def_3642, type, sK2999: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 218.24/31.72 thf(func_def_3643, type, sK3000: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_3644, type, sK3001: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.72 thf(func_def_3645, type, sK3002: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.72 thf(func_def_3646, type, sK3003: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 218.24/31.72 thf(func_def_3647, type, sK3004: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_3648, type, sK3005: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 218.24/31.72 thf(func_def_3649, type, sK3006: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_3650, type, sK3007: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.72 thf(func_def_3651, type, sK3008: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.72 thf(func_def_3652, type, sK3009: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 218.24/31.72 thf(func_def_3653, type, sK3010: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 218.24/31.72 thf(func_def_3654, type, sK3011: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 218.24/31.72 thf(func_def_3655, type, sK3012: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 218.24/31.72 thf(func_def_3656, type, sK3013: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 218.24/31.72 thf(func_def_3657, type, sK3014: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 218.24/31.72 thf(func_def_3658, type, sK3015: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > list @ X0 > list @ X0 > list @ X1))).
% 218.24/31.72 thf(func_def_3659, type, sK3016: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > list @ X0 > list @ X0 > list @ X1))).
% 218.24/31.72 thf(func_def_3660, type, sK3017: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > list @ X0 > (X1 > X0) > list @ X1))).
% 218.24/31.72 thf(func_def_3661, type, sK3018: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X0 > list @ X1 > (X1 > X0) > list @ X1))).
% 218.24/31.72 thf(func_def_3662, type, sK3019: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3663, type, sK3020: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3664, type, sK3021: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3665, type, sK3022: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3666, type, sK3023: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3667, type, sK3024: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3668, type, sK3025: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3669, type, sK3026: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3670, type, sK3027: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3671, type, sK3028: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3672, type, sK3029: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3673, type, sK3030: !>[X0: $tType, X1: $tType]:((list @ X0 > set @ product_prod @ X1 @ X0 > list @ X1 > list @ X0))).
% 218.24/31.72 thf(func_def_3674, type, sK3031: !>[X0: $tType, X1: $tType]:((list @ X0 > set @ product_prod @ X1 @ X0 > list @ X1 > list @ X1))).
% 218.24/31.72 thf(func_def_3675, type, sK3032: !>[X0: $tType, X1: $tType]:((list @ X0 > set @ product_prod @ X1 @ X0 > list @ X1 > X0))).
% 218.24/31.72 thf(func_def_3676, type, sK3033: !>[X0: $tType, X1: $tType]:((list @ X0 > set @ product_prod @ X1 @ X0 > list @ X1 > X1))).
% 218.24/31.72 thf(func_def_3677, type, sK3034: !>[X0: $tType, X1: $tType]:((list @ X0 > set @ product_prod @ X1 @ X0 > list @ X1 > list @ X1))).
% 218.24/31.72 thf(func_def_3678, type, sK3035: !>[X0: $tType, X1: $tType]:((list @ X0 > set @ product_prod @ X1 @ X0 > list @ X1 > X0))).
% 218.24/31.72 thf(func_def_3679, type, sK3036: !>[X0: $tType, X1: $tType]:((list @ X0 > set @ product_prod @ X1 @ X0 > list @ X1 > X1))).
% 218.24/31.72 thf(func_def_3680, type, sK3037: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3681, type, sK3038: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3682, type, sK3039: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 218.24/31.72 thf(func_def_3683, type, sK3040: !>[X0: $tType]:((nat > list @ X0 > X0))).
% 218.24/31.72 thf(func_def_3684, type, sK3041: !>[X0: $tType]:((X0 > list @ X0 > X0 > nat))).
% 218.24/31.72 thf(func_def_3685, type, sK3042: !>[X0: $tType]:((X0 > list @ X0 > X0 > nat))).
% 218.24/31.72 thf(func_def_3686, type, sK3043: !>[X0: $tType]:((X0 > list @ X0 > X0 > nat))).
% 218.24/31.72 thf(func_def_3687, type, sK3044: !>[X0: $tType]:((X0 > list @ X0 > X0 > nat))).
% 218.24/31.72 thf(func_def_3688, type, sK3045: !>[X0: $tType]:((X0 > list @ X0 > X0 > nat))).
% 218.24/31.72 thf(func_def_3689, type, sK3046: !>[X0: $tType]:((X0 > list @ X0 > X0 > nat))).
% 218.24/31.72 thf(func_def_3690, type, sK3047: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3691, type, sK3048: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3692, type, sK3049: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3693, type, sK3050: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3694, type, sK3051: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3695, type, sK3052: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 218.24/31.72 thf(func_def_3696, type, sK3053: !>[X0: $tType]:((list @ X0 > X0))).
% 218.24/31.72 thf(func_def_3697, type, sK3054: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 218.24/31.72 thf(func_def_3698, type, sK3055: !>[X0: $tType]:((nat > list @ X0 > X0))).
% 218.24/31.72 thf(func_def_3699, type, sK3056: !>[X0: $tType]:((list @ X0 > nat > list @ X0))).
% 218.24/31.72 thf(func_def_3700, type, sK3057: !>[X0: $tType]:((list @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3701, type, sK3058: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3702, type, sK3059: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3703, type, sK3060: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3704, type, sK3061: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3705, type, sK3062: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3706, type, sK3063: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3707, type, sK3064: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > list @ X0 > X0 > list @ X1))).
% 218.24/31.72 thf(func_def_3708, type, sK3065: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > list @ X0 > X0 > X1))).
% 218.24/31.72 thf(func_def_3709, type, sK3066: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > X0 > (X1 > X0) > list @ X1))).
% 218.24/31.72 thf(func_def_3710, type, sK3067: !>[X0: $tType, X1: $tType]:((list @ X0 > X0 > list @ X1 > (X1 > X0) > X1))).
% 218.24/31.72 thf(func_def_3711, type, sK3068: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 218.24/31.72 thf(func_def_3712, type, sK3069: !>[X0: $tType]:((list @ X0 > X0))).
% 218.24/31.72 thf(func_def_3713, type, sK3070: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X1 @ X0 > nat))).
% 218.24/31.72 thf(func_def_3714, type, sK3071: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X1 @ X0 > nat))).
% 218.24/31.72 thf(func_def_3715, type, sK3072: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X0 @ X1 > nat))).
% 218.24/31.72 thf(func_def_3716, type, sK3073: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X0 @ X1 > nat))).
% 218.24/31.72 thf(func_def_3717, type, sK3074: !>[X0: $tType, X1: $tType]:((X1 > list @ X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_3718, type, sK3075: !>[X0: $tType, X1: $tType]:((X1 > list @ X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_3719, type, sK3076: !>[X0: $tType, X1: $tType]:((X1 > list @ X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_3720, type, sK3077: !>[X0: $tType, X1: $tType]:((X1 > list @ X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_3721, type, sK3078: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_3722, type, sK3079: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_3723, type, sK3080: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_3724, type, sK3081: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_3725, type, sK3082: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_3726, type, sK3083: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_3727, type, sK3084: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3728, type, sK3085: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3729, type, sK3086: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1 > X0))).
% 218.24/31.72 thf(func_def_3730, type, sK3087: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X1 > list @ X0))).
% 218.24/31.72 thf(func_def_3731, type, sK3088: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X1 > X1))).
% 218.24/31.72 thf(func_def_3732, type, sK3089: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X1 @ X0 > nat))).
% 218.24/31.72 thf(func_def_3733, type, sK3090: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X1 @ X0 > nat))).
% 218.24/31.72 thf(func_def_3734, type, sK3091: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X1 @ X0 > nat))).
% 218.24/31.72 thf(func_def_3735, type, sK3092: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X1 @ X0 > nat))).
% 218.24/31.72 thf(func_def_3736, type, sK3093: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > (X1 > X0) > X1))).
% 218.24/31.72 thf(func_def_3737, type, sK3094: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X1 @ X0 > nat))).
% 218.24/31.72 thf(func_def_3738, type, sK3095: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X1 @ X0 > nat))).
% 218.24/31.72 thf(func_def_3739, type, sK3096: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X1 @ X0 > nat))).
% 218.24/31.72 thf(func_def_3740, type, sK3097: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X1 @ X0 > nat))).
% 218.24/31.72 thf(func_def_3741, type, sK3098: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X0 @ X1 > nat))).
% 218.24/31.72 thf(func_def_3742, type, sK3099: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X0 @ X1 > nat))).
% 218.24/31.72 thf(func_def_3743, type, sK3100: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3744, type, sK3101: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3745, type, sK3102: !>[X0: $tType, X1: $tType]:((list @ X1 > X0 > list @ X0 > X1))).
% 218.24/31.72 thf(func_def_3746, type, sK3103: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X1 @ X0 > nat > option @ X0))).
% 218.24/31.72 thf(func_def_3747, type, sK3104: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X1 @ X0 > nat))).
% 218.24/31.72 thf(func_def_3748, type, sK3105: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3749, type, sK3106: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3750, type, sK3107: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X1 @ X0 > nat > product_prod @ X1 @ X0))).
% 218.24/31.72 thf(func_def_3751, type, sK3108: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X1 @ X0 > nat))).
% 218.24/31.72 thf(func_def_3752, type, sK3109: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X1 @ X0 > nat > X1))).
% 218.24/31.72 thf(func_def_3753, type, sK3110: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X1 @ X0 > nat))).
% 218.24/31.72 thf(func_def_3754, type, sK3111: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3755, type, sK3112: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3756, type, sK3113: !>[X0: $tType]:((list @ X0 > set @ product_prod @ X0 @ X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3757, type, sK3114: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3758, type, sK3115: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3759, type, sK3116: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3760, type, sK3117: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3761, type, sK3118: (set @ nat > nat > nat)).
% 218.24/31.72 thf(func_def_3762, type, sK3119: (set @ nat > nat)).
% 218.24/31.72 thf(func_def_3763, type, sK3120: (set @ nat > nat > nat)).
% 218.24/31.72 thf(func_def_3764, type, sK3121: (set @ nat > nat)).
% 218.24/31.72 thf(func_def_3765, type, sK3122: !>[X0: $tType, X1: $tType]:((set @ X1 > filter @ X0 > (X0 > set @ X1) > set @ X1))).
% 218.24/31.72 thf(func_def_3766, type, sK3123: !>[X0: $tType, X1: $tType]:((set @ X1 > filter @ X0 > (X0 > set @ X1) > nat > X1))).
% 218.24/31.72 thf(func_def_3767, type, sK3124: !>[X0: $tType, X1: $tType]:((set @ X1 > filter @ X0 > (X0 > set @ X1) > nat))).
% 218.24/31.72 thf(func_def_3768, type, sK3125: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0))).
% 218.24/31.72 thf(func_def_3769, type, sK3126: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3770, type, sK3127: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3771, type, sK3128: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0 > set @ X0))).
% 218.24/31.72 thf(func_def_3772, type, sK3129: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3773, type, sK3130: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3774, type, sK3131: !>[X0: $tType]:((set @ X0 > (set @ X0 > $o) > nat > X0))).
% 218.24/31.72 thf(func_def_3775, type, sK3132: !>[X0: $tType]:((set @ X0 > (set @ X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_3776, type, sK3133: !>[X0: $tType, X1: $tType]:((X0 > (X0 > option @ X1) > X1))).
% 218.24/31.72 thf(func_def_3777, type, sK3134: !>[X0: $tType, X1: $tType]:((((X1 > option @ X0) > $o) > nat > X1))).
% 218.24/31.72 thf(func_def_3778, type, sK3135: !>[X0: $tType, X1: $tType]:((((X1 > option @ X0) > $o) > nat))).
% 218.24/31.72 thf(func_def_3779, type, sK3136: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > nat > X1 > option @ X0))).
% 218.24/31.72 thf(func_def_3780, type, sK3137: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > nat))).
% 218.24/31.72 thf(func_def_3781, type, sK3138: !>[X0: $tType]:((nat > X0))).
% 218.24/31.72 thf(func_def_3782, type, sK3139: !>[X0: $tType]:(nat)).
% 218.24/31.72 thf(func_def_3783, type, sK3140: !>[X0: $tType, X1: $tType]:(((X1 > option @ X0) > nat > X0))).
% 218.24/31.72 thf(func_def_3784, type, sK3141: !>[X0: $tType, X1: $tType]:(((X1 > option @ X0) > nat))).
% 218.24/31.72 thf(func_def_3785, type, sK3142: !>[X0: $tType, X1: $tType]:(((X1 > option @ X0) > nat > X1))).
% 218.24/31.72 thf(func_def_3786, type, sK3143: !>[X0: $tType, X1: $tType]:(((X1 > option @ X0) > nat))).
% 218.24/31.72 thf(func_def_3787, type, sK3144: !>[X0: $tType, X1: $tType]:(((X1 > option @ X0) > nat > product_prod @ X1 @ X0))).
% 218.24/31.72 thf(func_def_3788, type, sK3145: !>[X0: $tType, X1: $tType]:(((X1 > option @ X0) > nat))).
% 218.24/31.72 thf(func_def_3789, type, sK3146: !>[X0: $tType, X1: $tType]:((X1 > X0 > (X1 > option @ X0) > nat > option @ X0))).
% 218.24/31.72 thf(func_def_3790, type, sK3147: !>[X0: $tType, X1: $tType]:((X1 > X0 > (X1 > option @ X0) > nat))).
% 218.24/31.72 thf(func_def_3791, type, sK3148: !>[X0: $tType, X1: $tType]:((X0 > ((X1 > X0) > $o) > nat > X1))).
% 218.24/31.72 thf(func_def_3792, type, sK3149: !>[X0: $tType, X1: $tType]:((X0 > ((X1 > X0) > $o) > nat))).
% 218.24/31.72 thf(func_def_3793, type, sK3150: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3794, type, sK3151: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3795, type, sK3152: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3796, type, sK3153: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3797, type, sK3154: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3798, type, sK3155: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3799, type, sK3156: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ product_prod @ X0 @ X1 > X0 > X2 > set @ product_prod @ X1 @ X2 > X2))).
% 218.24/31.72 thf(func_def_3800, type, sK3157: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2 > set @ product_prod @ X0 @ X2 > set @ product_prod @ X1 @ X0 > X0))).
% 218.24/31.72 thf(func_def_3801, type, sK3158: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2 > set @ product_prod @ X0 @ X2 > set @ product_prod @ X1 @ X0 > X1))).
% 218.24/31.72 thf(func_def_3802, type, sK3159: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3803, type, sK3160: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3804, type, sK3161: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ product_prod @ X1 @ X0 > set @ product_prod @ X0 @ X2 > nat > product_prod @ X1 @ X2))).
% 218.24/31.72 thf(func_def_3805, type, sK3162: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ product_prod @ X1 @ X0 > set @ product_prod @ X0 @ X2 > nat))).
% 218.24/31.72 thf(func_def_3806, type, sK3163: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3807, type, sK3164: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3808, type, sK3165: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3809, type, sK3166: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3810, type, sK3167: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3811, type, sK3168: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3812, type, sK3169: !>[X0: $tType]:((set @ X0 > (X0 > $o) > nat > X0))).
% 218.24/31.72 thf(func_def_3813, type, sK3170: !>[X0: $tType]:((set @ X0 > (X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_3814, type, sK3171: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3815, type, sK3172: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3816, type, sK3173: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3817, type, sK3174: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3818, type, sK3175: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3819, type, sK3176: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > set @ X0 > X0))).
% 218.24/31.72 thf(func_def_3820, type, sK3177: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3821, type, sK3178: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3822, type, sK3179: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3823, type, sK3180: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3824, type, sK3181: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_3825, type, sK3182: !>[X0: $tType]:((set @ X0 > (X0 > $o) > set @ X0 > X0))).
% 218.24/31.72 thf(func_def_3826, type, sK3183: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_3827, type, sK3184: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_3828, type, sK3185: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_3829, type, sK3186: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_3830, type, sK3187: !>[X0: $tType]:((set @ X0 > (X0 > $o) > set @ X0 > X0))).
% 218.24/31.72 thf(func_def_3831, type, sK3188: !>[X0: $tType]:((set @ X0 > set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3832, type, sK3189: !>[X0: $tType]:((set @ X0 > set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3833, type, sK3190: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3834, type, sK3191: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3835, type, sK3192: !>[X0: $tType]:((set @ X0 > set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3836, type, sK3193: !>[X0: $tType]:((set @ X0 > set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3837, type, sK3194: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3838, type, sK3195: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3839, type, sK3196: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3840, type, sK3197: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3841, type, sK3198: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3842, type, sK3199: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3843, type, sK3200: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3844, type, sK3201: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3845, type, sK3202: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3846, type, sK3203: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3847, type, sK3204: !>[X0: $tType]:((set @ X0 > set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3848, type, sK3205: !>[X0: $tType]:((set @ X0 > set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3849, type, sK3206: !>[X0: $tType]:((X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3850, type, sK3207: !>[X0: $tType]:((X0 > nat))).
% 218.24/31.72 thf(func_def_3851, type, sK3208: !>[X0: $tType]:((X0 > X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3852, type, sK3209: !>[X0: $tType]:((X0 > X0 > nat))).
% 218.24/31.72 thf(func_def_3853, type, sK3210: !>[X0: $tType, X1: $tType]:((real > (X1 > X0) > real))).
% 218.24/31.72 thf(func_def_3854, type, sK3211: !>[X0: $tType, X1: $tType]:(((X1 > X0) > real))).
% 218.24/31.72 thf(func_def_3855, type, sK3212: !>[X0: $tType, X1: $tType]:((real > (X1 > X0) > X1))).
% 218.24/31.72 thf(func_def_3856, type, sK3213: !>[X0: $tType, X1: $tType]:((real > (X1 > X0) > X1))).
% 218.24/31.72 thf(func_def_3857, type, sK3214: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3858, type, sK3215: !>[X0: $tType]:((X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3859, type, sK3216: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3860, type, sK3217: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3861, type, sK3218: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3862, type, sK3219: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3863, type, sK3220: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3864, type, sK3221: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3865, type, sK3222: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3866, type, sK3223: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3867, type, sK3224: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3868, type, sK3225: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3869, type, sK3226: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3870, type, sK3227: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3871, type, sK3228: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3872, type, sK3229: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3873, type, sK3230: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3874, type, sK3231: !>[X0: $tType, X1: $tType]:((set @ X1 > (set @ X0 > $o) > (X1 > X0) > set @ X1))).
% 218.24/31.72 thf(func_def_3875, type, sK3232: !>[X0: $tType, X1: $tType]:((set @ X1 > (set @ X0 > $o) > (X1 > X0) > set @ X0))).
% 218.24/31.72 thf(func_def_3876, type, sK3233: !>[X0: $tType, X1: $tType]:((set @ X1 > (set @ X0 > $o) > (X1 > X0) > set @ X0))).
% 218.24/31.72 thf(func_def_3877, type, sK3234: !>[X0: $tType, X1: $tType]:((set @ X1 > (set @ X0 > $o) > (X1 > X0) > set @ X1))).
% 218.24/31.72 thf(func_def_3878, type, sK3235: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > X0 > X1))).
% 218.24/31.72 thf(func_def_3879, type, sK3236: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_3880, type, sK3237: !>[X0: $tType, X1: $tType]:((set @ X0 > (X1 > X0) > set @ X1 > X0))).
% 218.24/31.72 thf(func_def_3881, type, sK3238: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3882, type, sK3239: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3883, type, sK3240: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > X1 > X0))).
% 218.24/31.72 thf(func_def_3884, type, sK3241: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > X0 > X1))).
% 218.24/31.72 thf(func_def_3885, type, sK3242: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3886, type, sK3243: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3887, type, sK3244: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > nat > X0))).
% 218.24/31.72 thf(func_def_3888, type, sK3245: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_3889, type, sK3246: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3890, type, sK3247: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3891, type, sK3248: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X0 > set @ X1))).
% 218.24/31.72 thf(func_def_3892, type, sK3249: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X0 > nat > X1))).
% 218.24/31.72 thf(func_def_3893, type, sK3250: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3894, type, sK3251: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X0 > nat > X1))).
% 218.24/31.72 thf(func_def_3895, type, sK3252: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3896, type, sK3253: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > nat > set @ X0))).
% 218.24/31.72 thf(func_def_3897, type, sK3254: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3898, type, sK3255: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > nat > set @ X0))).
% 218.24/31.72 thf(func_def_3899, type, sK3256: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3900, type, sK3257: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > set @ X1 > nat > X0))).
% 218.24/31.72 thf(func_def_3901, type, sK3258: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > set @ X1 > nat))).
% 218.24/31.72 thf(func_def_3902, type, sK3259: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > set @ X1 > nat > X0))).
% 218.24/31.72 thf(func_def_3903, type, sK3260: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > set @ X1 > nat))).
% 218.24/31.72 thf(func_def_3904, type, sK3261: !>[X0: $tType, X1: $tType]:((filter @ X0 > real > (X0 > X1) > X0 > $o))).
% 218.24/31.72 thf(func_def_3905, type, sK3262: !>[X0: $tType, X1: $tType]:((filter @ X0 > (X0 > X1) > real))).
% 218.24/31.72 thf(func_def_3906, type, sK3263: !>[X0: $tType, X1: $tType]:((filter @ X0 > (X0 > $o) > (X0 > X1) > X0))).
% 218.24/31.72 thf(func_def_3907, type, sK3264: !>[X0: $tType, X1: $tType]:((filter @ X0 > (X0 > $o) > (X0 > X1) > X0))).
% 218.24/31.72 thf(func_def_3908, type, sK3265: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3909, type, sK3266: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3910, type, sK3267: !>[X0: $tType]:((list @ X0 > list @ X0 > nat > nat))).
% 218.24/31.72 thf(func_def_3911, type, sK3268: !>[X0: $tType]:((list @ X0 > (nat > nat) > nat))).
% 218.24/31.72 thf(func_def_3912, type, sK3269: !>[X0: $tType]:((list @ X0 > (nat > nat) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_3913, type, sK3270: !>[X0: $tType]:((product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0 > nat))).
% 218.24/31.72 thf(func_def_3914, type, sK3271: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3915, type, sK3272: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3916, type, sK3273: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3917, type, sK3274: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3918, type, sK3275: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3919, type, sK3276: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > product_prod @ X0 @ X0))).
% 218.24/31.72 thf(func_def_3920, type, sK3277: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat))).
% 218.24/31.72 thf(func_def_3921, type, sK3278: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > product_prod @ X0 @ X0))).
% 218.24/31.72 thf(func_def_3922, type, sK3279: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat))).
% 218.24/31.72 thf(func_def_3923, type, sK3280: !>[X0: $tType]:((X0 > nat > set @ product_prod @ X0 @ X0 > X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3924, type, sK3281: !>[X0: $tType]:((nat > set @ product_prod @ X0 @ X0 > (nat > X0) > nat))).
% 218.24/31.72 thf(func_def_3925, type, sK3282: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > nat > product_prod @ X0 @ X0))).
% 218.24/31.72 thf(func_def_3926, type, sK3283: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > nat))).
% 218.24/31.72 thf(func_def_3927, type, sK3284: ((product_prod @ nat @ nat > $o) > nat)).
% 218.24/31.72 thf(func_def_3928, type, sK3285: (nat > (product_prod @ nat @ nat > $o) > nat)).
% 218.24/31.72 thf(func_def_3929, type, sK3286: (nat > (product_prod @ nat @ nat > $o) > nat)).
% 218.24/31.72 thf(func_def_3930, type, sK3287: !>[X0: $tType, X1: $tType]:((filter @ X1 > filter @ X0 > (product_prod @ X1 @ X0 > $o) > X0 > $o))).
% 218.24/31.72 thf(func_def_3931, type, sK3288: !>[X0: $tType, X1: $tType]:((filter @ X1 > filter @ X0 > (product_prod @ X1 @ X0 > $o) > X1 > $o))).
% 218.24/31.72 thf(func_def_3932, type, sK3289: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (product_prod @ X1 @ X0 > $o) > (X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_3933, type, sK3290: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (product_prod @ X1 @ X0 > $o) > (X0 > $o) > X1))).
% 218.24/31.72 thf(func_def_3934, type, sK3291: !>[X0: $tType]:(((product_prod @ X0 @ X0 > $o) > filter @ X0 > X0 > $o))).
% 218.24/31.72 thf(func_def_3935, type, sK3292: !>[X0: $tType]:(((product_prod @ X0 @ X0 > $o) > (X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_3936, type, sK3293: !>[X0: $tType]:(((product_prod @ X0 @ X0 > $o) > (X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_3937, type, sK3294: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > nat > set @ X0))).
% 218.24/31.72 thf(func_def_3938, type, sK3295: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3939, type, sK3296: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > nat > set @ X0))).
% 218.24/31.72 thf(func_def_3940, type, sK3297: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3941, type, sK3298: !>[X0: $tType, X1: $tType]:((X1 > filter @ X0 > (X0 > X1) > product_prod @ X1 @ X1 > $o))).
% 218.24/31.72 thf(func_def_3942, type, sK3299: !>[X0: $tType]:(((product_prod @ X0 @ X0 > $o) > real))).
% 218.24/31.72 thf(func_def_3943, type, sK3300: !>[X0: $tType]:(((product_prod @ X0 @ X0 > $o) > real > X0))).
% 218.24/31.72 thf(func_def_3944, type, sK3301: !>[X0: $tType]:(((product_prod @ X0 @ X0 > $o) > real > X0))).
% 218.24/31.72 thf(func_def_3945, type, sK3302: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > set @ X0) > set @ X0 > nat > X1))).
% 218.24/31.72 thf(func_def_3946, type, sK3303: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > set @ X0) > set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3947, type, sK3304: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > set @ X0) > set @ X0 > nat > X1))).
% 218.24/31.72 thf(func_def_3948, type, sK3305: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > set @ X0) > set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3949, type, sK3306: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_3950, type, sK3307: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_3951, type, sK3308: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3952, type, sK3309: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3953, type, sK3310: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_3954, type, sK3311: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_3955, type, sK3312: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_3956, type, sK3313: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_3957, type, sK3314: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_3958, type, sK3315: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3959, type, sK3316: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3960, type, sK3317: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3961, type, sK3318: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3962, type, sK3319: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3963, type, sK3320: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3964, type, sK3321: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_3965, type, sK3322: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3966, type, sK3323: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3967, type, sK3324: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 218.24/31.72 thf(func_def_3968, type, sK3325: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_3969, type, sK3326: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_3970, type, sK3327: !>[X0: $tType]:((X0 > (X0 > $o) > X0 > X0))).
% 218.24/31.72 thf(func_def_3971, type, sK3328: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > set @ X0) > set @ X2 > (X1 > set @ X3) > (X0 > X3) > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_3972, type, sK3329: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > set @ X0) > set @ X2 > (X1 > set @ X3) > X2 > (X0 > X3) > set @ X1 > X0))).
% 218.24/31.72 thf(func_def_3973, type, sK3330: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > set @ X0) > set @ X2 > (X1 > set @ X3) > X1 > (X0 > X3) > X2))).
% 218.24/31.72 thf(func_def_3974, type, sK3331: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > set @ X0) > set @ X2 > (X1 > set @ X3) > (X0 > X3) > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_3975, type, sK3332: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > set @ X0) > set @ X2 > (X1 > set @ X3) > X2 > (X0 > X3) > set @ X1 > X0))).
% 218.24/31.72 thf(func_def_3976, type, sK3333: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > set @ X0) > set @ X2 > (X1 > set @ X3) > X1 > (X0 > X3) > X2))).
% 218.24/31.72 thf(func_def_3977, type, sK3334: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > set @ X0) > set @ X2 > (X1 > set @ X3) > (X0 > X3) > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_3978, type, sK3335: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > set @ X0) > set @ X2 > (X1 > set @ X3) > X2 > (X0 > X3) > set @ X1 > X0))).
% 218.24/31.72 thf(func_def_3979, type, sK3336: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > set @ X0) > set @ X2 > (X1 > set @ X3) > X1 > (X0 > X3) > X2))).
% 218.24/31.72 thf(func_def_3980, type, sK3337: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > set @ X0) > set @ X2 > (X1 > set @ X3) > (X0 > X3) > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_3981, type, sK3338: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > set @ X0) > set @ X2 > (X1 > set @ X3) > X2 > (X0 > X3) > set @ X1 > X0))).
% 218.24/31.72 thf(func_def_3982, type, sK3339: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > set @ X0) > set @ X2 > (X1 > set @ X3) > X1 > (X0 > X3) > X2))).
% 218.24/31.72 thf(func_def_3983, type, sK3340: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > X1))).
% 218.24/31.72 thf(func_def_3984, type, sK3341: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > (X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_3985, type, sK3342: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > X1))).
% 218.24/31.72 thf(func_def_3986, type, sK3343: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > (X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_3987, type, sK3344: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > X1))).
% 218.24/31.72 thf(func_def_3988, type, sK3345: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > (X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_3989, type, sK3346: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > X1))).
% 218.24/31.72 thf(func_def_3990, type, sK3347: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > (X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_3991, type, sK3348: !>[X0: $tType, X1: $tType]:((set @ X1 > X1 > (X0 > X1) > (X0 > $o) > set @ X1))).
% 218.24/31.72 thf(func_def_3992, type, sK3349: !>[X0: $tType, X1: $tType]:((set @ X1 > X1 > set @ X1 > (X0 > X1) > (X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_3993, type, sK3350: !>[X0: $tType]:(((nat > X0) > real))).
% 218.24/31.72 thf(func_def_3994, type, sK3351: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.72 thf(func_def_3995, type, sK3352: !>[X0: $tType]:(((nat > X0) > nat > real > nat))).
% 218.24/31.72 thf(func_def_3996, type, sK3353: !>[X0: $tType]:(((nat > X0) > real))).
% 218.24/31.72 thf(func_def_3997, type, sK3354: !>[X0: $tType]:(((nat > X0) > X0))).
% 218.24/31.72 thf(func_def_3998, type, sK3355: !>[X0: $tType]:(((nat > X0) > X0 > real > nat))).
% 218.24/31.72 thf(func_def_3999, type, sK3356: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.72 thf(func_def_4000, type, sK3357: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 218.24/31.72 thf(func_def_4001, type, sK3358: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.72 thf(func_def_4002, type, sK3359: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 218.24/31.72 thf(func_def_4003, type, sK3360: !>[X0: $tType]:(((nat > X0) > real))).
% 218.24/31.72 thf(func_def_4004, type, sK3361: !>[X0: $tType]:(((nat > X0) > real > nat))).
% 218.24/31.72 thf(func_def_4005, type, sK3362: !>[X0: $tType]:(((nat > X0) > real > X0 > nat))).
% 218.24/31.72 thf(func_def_4006, type, sK3363: !>[X0: $tType]:(((nat > X0) > X0 > real))).
% 218.24/31.72 thf(func_def_4007, type, sK3364: !>[X0: $tType]:(((nat > X0) > nat > X0 > nat))).
% 218.24/31.72 thf(func_def_4008, type, sK3365: !>[X0: $tType, X1: $tType]:((X1 > filter @ X0 > (X0 > X1) > X1))).
% 218.24/31.72 thf(func_def_4009, type, sK3366: !>[X0: $tType]:(((nat > X0) > real > X0 > nat))).
% 218.24/31.72 thf(func_def_4010, type, sK3367: !>[X0: $tType]:(((nat > X0) > X0 > real))).
% 218.24/31.72 thf(func_def_4011, type, sK3368: !>[X0: $tType]:(((nat > X0) > nat > X0 > nat))).
% 218.24/31.72 thf(func_def_4012, type, sK3369: !>[X0: $tType, X1: $tType]:((real > X1 > X0 > (X1 > X0) > real))).
% 218.24/31.72 thf(func_def_4013, type, sK3370: !>[X0: $tType, X1: $tType]:((X1 > X0 > (X1 > X0) > real))).
% 218.24/31.72 thf(func_def_4014, type, sK3371: !>[X0: $tType, X1: $tType]:((real > X1 > X0 > (X1 > X0) > X1))).
% 218.24/31.72 thf(func_def_4015, type, sK3372: !>[X0: $tType, X1: $tType]:((filter @ X0 > (X0 > X1) > X1))).
% 218.24/31.72 thf(func_def_4016, type, sK3373: !>[X0: $tType, X1: $tType]:((filter @ X0 > (X0 > X1) > X1))).
% 218.24/31.72 thf(func_def_4017, type, sK3374: !>[X0: $tType, X1: $tType]:((X1 > filter @ X0 > (X0 > X1) > X1))).
% 218.24/31.72 thf(func_def_4018, type, sK3375: !>[X0: $tType, X1: $tType]:((filter @ X0 > X1 > (X0 > X1) > real))).
% 218.24/31.72 thf(func_def_4019, type, sK3376: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0 > real))).
% 218.24/31.72 thf(func_def_4020, type, sK3377: !>[X0: $tType]:((real > (X0 > $o) > set @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_4021, type, sK3378: !>[X0: $tType]:(((nat > X0) > set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4022, type, sK3379: !>[X0: $tType]:(((nat > X0) > X0 > set @ X0))).
% 218.24/31.72 thf(func_def_4023, type, sK3380: !>[X0: $tType]:(((nat > X0) > nat > X0 > nat))).
% 218.24/31.72 thf(func_def_4024, type, sK3381: !>[X0: $tType]:(((X0 > $o) > X0 > real))).
% 218.24/31.72 thf(func_def_4025, type, sK3382: !>[X0: $tType]:(((X0 > $o) > real > X0 > X0))).
% 218.24/31.72 thf(func_def_4026, type, sK3383: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0 > real))).
% 218.24/31.72 thf(func_def_4027, type, sK3384: !>[X0: $tType]:((real > (X0 > $o) > set @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_4028, type, sK3385: !>[X0: $tType]:(((X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_4029, type, sK3386: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 218.24/31.72 thf(func_def_4030, type, sK3387: !>[X0: $tType]:(((X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_4031, type, sK3388: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 218.24/31.72 thf(func_def_4032, type, sK3389: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 218.24/31.72 thf(func_def_4033, type, sK3390: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 218.24/31.72 thf(func_def_4034, type, sK3391: (int > int > nat > int)).
% 218.24/31.72 thf(func_def_4035, type, sK3392: (int > int > nat)).
% 218.24/31.72 thf(func_def_4036, type, sK3393: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1 > X1 > X0))).
% 218.24/31.72 thf(func_def_4037, type, sK3394: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > (X1 > X0) > set @ X1 > X1 > X1))).
% 218.24/31.72 thf(func_def_4038, type, sK3395: !>[X0: $tType, X1: $tType]:((filter @ X0 > (X0 > X1) > real > real))).
% 218.24/31.72 thf(func_def_4039, type, sK3396: !>[X0: $tType]:(((X0 > $o) > real))).
% 218.24/31.72 thf(func_def_4040, type, sK3397: !>[X0: $tType]:(((X0 > $o) > real > X0))).
% 218.24/31.72 thf(func_def_4041, type, sK3398: !>[X0: $tType]:((X0 > X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4042, type, sK3399: !>[X0: $tType]:((X0 > X0 > nat))).
% 218.24/31.72 thf(func_def_4043, type, sK3400: (nat > nat > nat > nat)).
% 218.24/31.72 thf(func_def_4044, type, sK3401: (nat > nat > nat)).
% 218.24/31.72 thf(func_def_4045, type, sK3402: !>[X0: $tType, X1: $tType]:((X1 > (X1 > X0) > (X1 > X0) > X1 > X0))).
% 218.24/31.72 thf(func_def_4046, type, sK3403: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1 > (X1 > X0) > (X1 > X0) > X1))).
% 218.24/31.72 thf(func_def_4047, type, sK3404: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > filter @ X0) > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_4048, type, sK3405: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > filter @ X0) > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_4049, type, sK3406: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > filter @ X0) > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_4050, type, sK3407: !>[X0: $tType]:(((X0 > $o) > set @ filter @ X0 > set @ filter @ X0))).
% 218.24/31.72 thf(func_def_4051, type, sK3408: !>[X0: $tType]:(((X0 > $o) > set @ filter @ X0 > nat > filter @ X0))).
% 218.24/31.72 thf(func_def_4052, type, sK3409: !>[X0: $tType]:(((X0 > $o) > set @ filter @ X0 > nat))).
% 218.24/31.72 thf(func_def_4053, type, sK3410: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > filter @ X0) > (X0 > $o) > set @ X1))).
% 218.24/31.72 thf(func_def_4054, type, sK3411: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > filter @ X0) > (X0 > $o) > nat > X1))).
% 218.24/31.72 thf(func_def_4055, type, sK3412: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > filter @ X0) > (X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_4056, type, sK3413: !>[X0: $tType, X1: $tType]:((X1 > filter @ X0 > (X0 > X1) > X1))).
% 218.24/31.72 thf(func_def_4057, type, sK3414: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X0 > $o) > set @ X1 > X0))).
% 218.24/31.72 thf(func_def_4058, type, sK3415: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > filter @ X0) > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_4059, type, sK3416: !>[X0: $tType, X1: $tType]:(((X1 > filter @ X0) > (X0 > $o) > set @ X1 > X1 > X0 > $o))).
% 218.24/31.72 thf(func_def_4060, type, sK3417: !>[X0: $tType, X1: $tType]:((X0 > (X1 > filter @ X0) > (X0 > $o) > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_4061, type, sK3418: !>[X0: $tType]:((set @ filter @ X0 > (X0 > $o) > filter @ X0))).
% 218.24/31.72 thf(func_def_4062, type, sK3419: !>[X0: $tType]:((set @ filter @ X0 > (X0 > $o) > filter @ X0))).
% 218.24/31.72 thf(func_def_4063, type, sK3420: !>[X0: $tType]:((set @ filter @ X0 > (X0 > $o) > filter @ X0))).
% 218.24/31.72 thf(func_def_4064, type, sK3421: !>[X0: $tType, X1: $tType]:((filter @ X0 > (X0 > X1) > X1))).
% 218.24/31.72 thf(func_def_4065, type, sK3422: !>[X0: $tType, X1: $tType]:((X1 > filter @ X0 > (X0 > X1) > X1))).
% 218.24/31.72 thf(func_def_4066, type, sK3423: !>[X0: $tType, X1: $tType]:((filter @ X0 > (X0 > X1) > X1))).
% 218.24/31.72 thf(func_def_4067, type, sK3424: !>[X0: $tType, X1: $tType]:((filter @ X0 > X1 > (X0 > X1) > X1))).
% 218.24/31.72 thf(func_def_4068, type, sK3425: !>[X0: $tType, X1: $tType]:((filter @ X0 > X1 > (X0 > X1) > X1))).
% 218.24/31.72 thf(func_def_4069, type, sK3426: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 218.24/31.72 thf(func_def_4070, type, sK3427: !>[X0: $tType]:((X0 > (X0 > $o) > X0 > X0))).
% 218.24/31.72 thf(func_def_4071, type, sK3428: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 218.24/31.72 thf(func_def_4072, type, sK3429: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_4073, type, sK3430: !>[X0: $tType]:(((X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_4074, type, sK3431: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_4075, type, sK3432: (filter @ nat > nat)).
% 218.24/31.72 thf(func_def_4076, type, sK3433: !>[X0: $tType, X1: $tType]:((filter @ X0 > (X0 > X1 > $o) > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_4077, type, sK3434: !>[X0: $tType, X1: $tType]:((filter @ X1 > (X1 > X0 > $o) > X1 > X0))).
% 218.24/31.72 thf(func_def_4078, type, sK3435: ((nat > $o) > nat)).
% 218.24/31.72 thf(func_def_4079, type, sK3436: (nat > (nat > $o) > nat)).
% 218.24/31.72 thf(func_def_4080, type, sK3437: !>[X0: $tType]:(((X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_4081, type, sK3438: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 218.24/31.72 thf(func_def_4082, type, sK3439: !>[X0: $tType]:(((X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_4083, type, sK3440: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 218.24/31.72 thf(func_def_4084, type, sK3441: !>[X0: $tType]:((set @ X0 > X0 > (nat > X0) > nat))).
% 218.24/31.72 thf(func_def_4085, type, sK3442: !>[X0: $tType, X1: $tType]:((set @ X1 > X1 > X0 > (X1 > X0) > nat > X1))).
% 218.24/31.72 thf(func_def_4086, type, sK3443: !>[X0: $tType]:(((nat > X0) > real > X0 > nat))).
% 218.24/31.72 thf(func_def_4087, type, sK3444: !>[X0: $tType]:(((nat > X0) > X0 > real))).
% 218.24/31.72 thf(func_def_4088, type, sK3445: !>[X0: $tType]:(((nat > X0) > nat > X0 > nat))).
% 218.24/31.72 thf(func_def_4089, type, sK3446: !>[X0: $tType, X1: $tType]:((real > X1 > X0 > (X1 > X0) > real))).
% 218.24/31.72 thf(func_def_4090, type, sK3447: !>[X0: $tType, X1: $tType]:((X1 > X0 > (X1 > X0) > real))).
% 218.24/31.72 thf(func_def_4091, type, sK3448: !>[X0: $tType, X1: $tType]:((real > X1 > X0 > (X1 > X0) > X1))).
% 218.24/31.72 thf(func_def_4092, type, sK3449: (int > int > nat > int)).
% 218.24/31.72 thf(func_def_4093, type, sK3450: (int > int > nat)).
% 218.24/31.72 thf(func_def_4094, type, sK3451: (nat > nat > nat > nat)).
% 218.24/31.72 thf(func_def_4095, type, sK3452: (nat > nat > nat)).
% 218.24/31.72 thf(func_def_4096, type, sK3453: !>[X0: $tType]:((X0 > X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4097, type, sK3454: !>[X0: $tType]:((X0 > X0 > nat))).
% 218.24/31.72 thf(func_def_4098, type, sK3455: !>[X0: $tType]:((nat > X0))).
% 218.24/31.72 thf(func_def_4099, type, sK3456: !>[X0: $tType]:(nat)).
% 218.24/31.72 thf(func_def_4100, type, sK3457: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4101, type, sK3458: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4102, type, sK3459: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > (X0 > X2) > nat > X1))).
% 218.24/31.72 thf(func_def_4103, type, sK3460: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > (X0 > X2) > nat))).
% 218.24/31.72 thf(func_def_4104, type, sK3461: !>[X0: $tType]:((nat > option @ X0))).
% 218.24/31.72 thf(func_def_4105, type, sK3462: !>[X0: $tType]:(nat)).
% 218.24/31.72 thf(func_def_4106, type, sK3463: !>[X0: $tType]:((nat > X0))).
% 218.24/31.72 thf(func_def_4107, type, sK3464: !>[X0: $tType]:(nat)).
% 218.24/31.72 thf(func_def_4108, type, sK3465: !>[X0: $tType]:((nat > X0))).
% 218.24/31.72 thf(func_def_4109, type, sK3466: !>[X0: $tType]:(nat)).
% 218.24/31.72 thf(func_def_4110, type, sK3467: !>[X0: $tType]:((nat > X0))).
% 218.24/31.72 thf(func_def_4111, type, sK3468: !>[X0: $tType]:(nat)).
% 218.24/31.72 thf(func_def_4112, type, sK3469: !>[X0: $tType]:((nat > X0))).
% 218.24/31.72 thf(func_def_4113, type, sK3470: !>[X0: $tType]:(nat)).
% 218.24/31.72 thf(func_def_4114, type, sK3471: !>[X0: $tType, X1: $tType]:((nat > product_prod @ X0 @ X1))).
% 218.24/31.72 thf(func_def_4115, type, sK3472: !>[X0: $tType, X1: $tType]:(nat)).
% 218.24/31.72 thf(func_def_4116, type, sK3473: !>[X0: $tType]:((nat > X0))).
% 218.24/31.72 thf(func_def_4117, type, sK3474: !>[X0: $tType]:(nat)).
% 218.24/31.72 thf(func_def_4118, type, sK3475: !>[X0: $tType]:((nat > X0))).
% 218.24/31.72 thf(func_def_4119, type, sK3476: !>[X0: $tType]:(nat)).
% 218.24/31.72 thf(func_def_4120, type, sK3477: !>[X0: $tType, X1: $tType]:((nat > product_prod @ X1 @ X0))).
% 218.24/31.72 thf(func_def_4121, type, sK3478: !>[X0: $tType, X1: $tType]:(nat)).
% 218.24/31.72 thf(func_def_4122, type, sK3479: !>[X0: $tType]:((nat > set @ X0))).
% 218.24/31.72 thf(func_def_4123, type, sK3480: !>[X0: $tType]:(nat)).
% 218.24/31.72 thf(func_def_4124, type, sK3481: !>[X0: $tType]:((nat > X0))).
% 218.24/31.72 thf(func_def_4125, type, sK3482: !>[X0: $tType]:(nat)).
% 218.24/31.72 thf(func_def_4126, type, sK3483: !>[X0: $tType]:((set @ filter @ X0 > nat > filter @ X0))).
% 218.24/31.72 thf(func_def_4127, type, sK3484: !>[X0: $tType]:((set @ filter @ X0 > nat))).
% 218.24/31.72 thf(func_def_4128, type, sK3485: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4129, type, sK3486: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4130, type, sK3487: !>[X0: $tType, X1: $tType]:(((X1 > filter @ X0) > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_4131, type, sK3488: !>[X0: $tType, X1: $tType]:(((X1 > filter @ X0) > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_4132, type, sK3489: !>[X0: $tType, X1: $tType]:(((X1 > filter @ X0) > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_4133, type, sK3490: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X1))).
% 218.24/31.72 thf(func_def_4134, type, sK3491: !>[X0: $tType, X1: $tType]:((X1 > set @ X0 > (X0 > X1) > X0))).
% 218.24/31.72 thf(func_def_4135, type, sK3492: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4136, type, sK3493: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4137, type, sK3494: !>[X0: $tType]:((nat > X0))).
% 218.24/31.72 thf(func_def_4138, type, sK3495: !>[X0: $tType]:(nat)).
% 218.24/31.72 thf(func_def_4139, type, sK3496: !>[X0: $tType]:(((X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_4140, type, sK3497: !>[X0: $tType]:(((X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_4141, type, sK3498: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_4142, type, sK3499: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.72 thf(func_def_4143, type, sK3500: !>[X0: $tType]:(((X0 > $o) > nat > X0))).
% 218.24/31.72 thf(func_def_4144, type, sK3501: !>[X0: $tType]:(((X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_4145, type, sK3502: !>[X0: $tType]:((nat > X0))).
% 218.24/31.72 thf(func_def_4146, type, sK3503: !>[X0: $tType]:(nat)).
% 218.24/31.72 thf(func_def_4147, type, sK3504: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4148, type, sK3505: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4149, type, sK3506: !>[X0: $tType]:((nat > X0))).
% 218.24/31.72 thf(func_def_4150, type, sK3507: !>[X0: $tType]:(nat)).
% 218.24/31.72 thf(func_def_4151, type, sK3508: !>[X0: $tType]:((nat > X0))).
% 218.24/31.72 thf(func_def_4152, type, sK3509: !>[X0: $tType]:(nat)).
% 218.24/31.72 thf(func_def_4153, type, sK3510: !>[X0: $tType, X1: $tType]:((nat > sum_sum @ X0 @ X1))).
% 218.24/31.72 thf(func_def_4154, type, sK3511: !>[X0: $tType, X1: $tType]:(nat)).
% 218.24/31.72 thf(func_def_4155, type, sK3512: !>[X0: $tType]:((nat > X0))).
% 218.24/31.72 thf(func_def_4156, type, sK3513: !>[X0: $tType]:(nat)).
% 218.24/31.72 thf(func_def_4157, type, sK3514: !>[X0: $tType]:((nat > option @ X0))).
% 218.24/31.72 thf(func_def_4158, type, sK3515: !>[X0: $tType]:(nat)).
% 218.24/31.72 thf(func_def_4159, type, sK3516: (set @ int > nat > int)).
% 218.24/31.72 thf(func_def_4160, type, sK3517: (set @ int > nat)).
% 218.24/31.72 thf(func_def_4161, type, sK3518: (set @ int > nat > nat)).
% 218.24/31.72 thf(func_def_4162, type, sK3519: (set @ int > nat)).
% 218.24/31.72 thf(func_def_4163, type, sK3520: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > set @ X0) > set @ X0 > X1))).
% 218.24/31.72 thf(func_def_4164, type, sK3521: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > (X1 > set @ X0) > X1))).
% 218.24/31.72 thf(func_def_4165, type, sK3522: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > set @ X0) > X1))).
% 218.24/31.72 thf(func_def_4166, type, sK3523: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > set @ X0) > X1))).
% 218.24/31.72 thf(func_def_4167, type, sK3524: !>[X0: $tType, X1: $tType]:(((X0 > filter @ X1) > set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4168, type, sK3525: !>[X0: $tType, X1: $tType]:(((X0 > filter @ X1) > set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4169, type, sK3526: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > nat > X0))).
% 218.24/31.72 thf(func_def_4170, type, sK3527: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > nat))).
% 218.24/31.72 thf(func_def_4171, type, sK3528: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > nat > X0))).
% 218.24/31.72 thf(func_def_4172, type, sK3529: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > nat))).
% 218.24/31.72 thf(func_def_4173, type, sK3530: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > nat > X0))).
% 218.24/31.72 thf(func_def_4174, type, sK3531: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > nat))).
% 218.24/31.72 thf(func_def_4175, type, sK3532: !>[X0: $tType, X1: $tType]:((X1 > (X1 > set @ X0) > nat > X0))).
% 218.24/31.72 thf(func_def_4176, type, sK3533: !>[X0: $tType, X1: $tType]:((X1 > (X1 > set @ X0) > nat))).
% 218.24/31.72 thf(func_def_4177, type, sK3534: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_4178, type, sK3535: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > nat > X0))).
% 218.24/31.72 thf(func_def_4179, type, sK3536: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > nat))).
% 218.24/31.72 thf(func_def_4180, type, sK3537: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > nat))).
% 218.24/31.72 thf(func_def_4181, type, sK3538: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_4182, type, sK3539: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_4183, type, sK3540: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_4184, type, sK3541: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_4185, type, sK3542: !>[X0: $tType, X1: $tType]:((X1 > set @ X0 > (X0 > X1) > X1))).
% 218.24/31.72 thf(func_def_4186, type, sK3543: !>[X0: $tType, X1: $tType]:((X1 > set @ X0 > (X0 > X1) > X0))).
% 218.24/31.72 thf(func_def_4187, type, sK3544: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X1 > X1))).
% 218.24/31.72 thf(func_def_4188, type, sK3545: !>[X0: $tType, X1: $tType]:((X1 > set @ X0 > (X0 > X1) > X0))).
% 218.24/31.72 thf(func_def_4189, type, sK3546: !>[X0: $tType]:((nat > (nat > X0) > nat > X0))).
% 218.24/31.72 thf(func_def_4190, type, sK3547: !>[X0: $tType]:((nat > (nat > X0) > nat))).
% 218.24/31.72 thf(func_def_4191, type, sK3548: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > (X1 > X0) > X1))).
% 218.24/31.72 thf(func_def_4192, type, sK3549: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X0 > X1))).
% 218.24/31.72 thf(func_def_4193, type, sK3550: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X0 > X1))).
% 218.24/31.72 thf(func_def_4194, type, sK3551: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > (X1 > X0) > X1))).
% 218.24/31.72 thf(func_def_4195, type, sK3552: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4196, type, sK3553: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4197, type, sK3554: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > set @ X0))).
% 218.24/31.72 thf(func_def_4198, type, sK3555: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > nat > X0))).
% 218.24/31.72 thf(func_def_4199, type, sK3556: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_4200, type, sK3557: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > set @ X1))).
% 218.24/31.72 thf(func_def_4201, type, sK3558: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > nat > X1))).
% 218.24/31.72 thf(func_def_4202, type, sK3559: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_4203, type, sK3560: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > set @ X1))).
% 218.24/31.72 thf(func_def_4204, type, sK3561: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > nat > X1))).
% 218.24/31.72 thf(func_def_4205, type, sK3562: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_4206, type, sK3563: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > set @ X0))).
% 218.24/31.72 thf(func_def_4207, type, sK3564: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > nat > X0))).
% 218.24/31.72 thf(func_def_4208, type, sK3565: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_4209, type, sK3566: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > nat > X1))).
% 218.24/31.72 thf(func_def_4210, type, sK3567: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4211, type, sK3568: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4212, type, sK3569: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4213, type, sK3570: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4214, type, sK3571: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4215, type, sK3572: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4216, type, sK3573: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4217, type, sK3574: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > (X1 > X0) > X1))).
% 218.24/31.72 thf(func_def_4218, type, sK3575: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > set @ X1))).
% 218.24/31.72 thf(func_def_4219, type, sK3576: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > set @ X0))).
% 218.24/31.72 thf(func_def_4220, type, sK3577: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > set @ X1))).
% 218.24/31.72 thf(func_def_4221, type, sK3578: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X0 > X1))).
% 218.24/31.72 thf(func_def_4222, type, sK3579: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X1))).
% 218.24/31.72 thf(func_def_4223, type, sK3580: !>[X0: $tType, X1: $tType]:((X1 > set @ X0 > (X0 > X1) > X0))).
% 218.24/31.72 thf(func_def_4224, type, sK3581: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X1))).
% 218.24/31.72 thf(func_def_4225, type, sK3582: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X1))).
% 218.24/31.72 thf(func_def_4226, type, sK3583: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > nat > X0))).
% 218.24/31.72 thf(func_def_4227, type, sK3584: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > nat))).
% 218.24/31.72 thf(func_def_4228, type, sK3585: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4229, type, sK3586: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4230, type, sK3587: !>[X0: $tType, X1: $tType]:((list @ X1 > X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_4231, type, sK3588: !>[X0: $tType, X1: $tType]:((list @ X1 > X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_4232, type, sK3589: !>[X0: $tType, X1: $tType]:((list @ X1 > X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_4233, type, sK3590: !>[X0: $tType, X1: $tType]:((list @ X1 > X1 > (X1 > X0) > nat))).
% 218.24/31.72 thf(func_def_4234, type, sK3591: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4235, type, sK3592: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4236, type, sK3593: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > list @ X1 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4237, type, sK3594: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > list @ X0 > list @ X1 > product_prod @ X1 @ X0))).
% 218.24/31.72 thf(func_def_4238, type, sK3595: (nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.72 thf(func_def_4239, type, sK3596: (nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.72 thf(func_def_4240, type, sK3597: (nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.72 thf(func_def_4241, type, sK3598: (nat > vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.72 thf(func_def_4242, type, sK3599: (nat > list @ vEBT_VEBT > vEBT_VEBT)).
% 218.24/31.72 thf(func_def_4243, type, sK3600: !>[X0: $tType, X1: $tType]:((X0 > set @ X0 > set @ X1 > nat > X1 > X0))).
% 218.24/31.72 thf(func_def_4244, type, sK3601: !>[X0: $tType, X1: $tType]:((X0 > set @ X0 > set @ X1 > nat))).
% 218.24/31.72 thf(func_def_4245, type, sK3602: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4246, type, sK3603: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4247, type, sK3604: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.72 thf(func_def_4248, type, sK3605: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0 > X1))).
% 218.24/31.72 thf(func_def_4249, type, sK3606: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0 > X1))).
% 218.24/31.72 thf(func_def_4250, type, sK3607: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 218.24/31.72 thf(func_def_4251, type, sK3608: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 218.24/31.72 thf(func_def_4252, type, sK3609: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4253, type, sK3610: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4254, type, sK3611: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4255, type, sK3612: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4256, type, sK3613: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4257, type, sK3614: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4258, type, sK3615: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 218.24/31.72 thf(func_def_4259, type, sK3616: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 218.24/31.72 thf(func_def_4260, type, sK3617: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 218.24/31.72 thf(func_def_4261, type, sK3618: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4262, type, sK3619: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4263, type, sK3620: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4264, type, sK3621: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4265, type, sK3622: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4266, type, sK3623: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4267, type, sK3624: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4268, type, sK3625: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4269, type, sK3626: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4270, type, sK3627: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4271, type, sK3628: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4272, type, sK3629: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4273, type, sK3630: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4274, type, sK3631: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4275, type, sK3632: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4276, type, sK3633: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4277, type, sK3634: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4278, type, sK3635: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4279, type, sK3636: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4280, type, sK3637: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4281, type, sK3638: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4282, type, sK3639: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4283, type, sK3640: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4284, type, sK3641: (nat > (real > $o) > real > real)).
% 218.24/31.72 thf(func_def_4285, type, sK3642: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4286, type, sK3643: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4287, type, sK3644: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4288, type, sK3645: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4289, type, sK3646: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4290, type, sK3647: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4291, type, sK3648: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4292, type, sK3649: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4293, type, sK3650: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4294, type, sK3651: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4295, type, sK3652: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4296, type, sK3653: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4297, type, sK3654: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4298, type, sK3655: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4299, type, sK3656: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4300, type, sK3657: !>[X0: $tType]:((list @ X0 > list @ X0 > nat > list @ X0))).
% 218.24/31.72 thf(func_def_4301, type, sK3658: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4302, type, sK3659: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4303, type, sK3660: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4304, type, sK3661: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4305, type, sK3662: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4306, type, sK3663: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4307, type, sK3664: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4308, type, sK3665: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4309, type, sK3666: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4310, type, sK3667: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4311, type, sK3668: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4312, type, sK3669: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4313, type, sK3670: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4314, type, sK3671: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4315, type, sK3672: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4316, type, sK3673: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4317, type, sK3674: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4318, type, sK3675: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4319, type, sK3676: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4320, type, sK3677: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4321, type, sK3678: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4322, type, sK3679: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4323, type, sK3680: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4324, type, sK3681: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4325, type, sK3682: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4326, type, sK3683: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4327, type, sK3684: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4328, type, sK3685: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4329, type, sK3686: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4330, type, sK3687: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4331, type, sK3688: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4332, type, sK3689: !>[X0: $tType]:((set @ set @ X0 > set @ X0 > set @ X0))).
% 218.24/31.72 thf(func_def_4333, type, sK3690: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_4334, type, sK3691: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 218.24/31.72 thf(func_def_4335, type, sK3692: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 218.24/31.72 thf(func_def_4336, type, sK3693: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 218.24/31.72 thf(func_def_4337, type, sK3694: (nat > nat > nat > nat)).
% 218.24/31.72 thf(func_def_4338, type, sK3695: !>[X0: $tType]:((set @ X0 > set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4339, type, sK3696: !>[X0: $tType]:((set @ X0 > set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4340, type, sK3697: !>[X0: $tType]:((set @ X0 > set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4341, type, sK3698: !>[X0: $tType]:((set @ X0 > set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4342, type, sK3699: (int > int > int > int)).
% 218.24/31.72 thf(func_def_4343, type, sK3700: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_4344, type, sK3701: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_4345, type, sK3702: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.72 thf(func_def_4346, type, sK3703: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.72 thf(func_def_4347, type, sK3704: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 218.24/31.72 thf(func_def_4348, type, sK3705: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 218.24/31.72 thf(func_def_4349, type, sK3706: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_4350, type, sK3707: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.72 thf(func_def_4351, type, sK3708: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 218.24/31.72 thf(func_def_4352, type, sK3709: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_4353, type, sK3710: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.72 thf(func_def_4354, type, sK3711: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.72 thf(func_def_4355, type, sK3712: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_4356, type, sK3713: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.72 thf(func_def_4357, type, sK3714: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > nat > set @ X0))).
% 218.24/31.72 thf(func_def_4358, type, sK3715: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4359, type, sK3716: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_4360, type, sK3717: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 218.24/31.72 thf(func_def_4361, type, sK3718: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > product_prod @ X1 @ X0 > nat))).
% 218.24/31.72 thf(func_def_4362, type, sK3719: !>[X0: $tType]:((set @ set @ X0 > nat > set @ X0))).
% 218.24/31.72 thf(func_def_4363, type, sK3720: !>[X0: $tType]:((set @ set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4364, type, sK3721: !>[X0: $tType]:((set @ set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4365, type, sK3722: !>[X0: $tType]:((set @ set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4366, type, sK3723: !>[X0: $tType]:((set @ set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4367, type, sK3724: !>[X0: $tType]:((set @ set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4368, type, sK3725: !>[X0: $tType]:((set @ set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4369, type, sK3726: !>[X0: $tType]:((set @ set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4370, type, sK3727: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_4371, type, sK3728: !>[X0: $tType]:((set @ X0 > nat > set @ X0))).
% 218.24/31.72 thf(func_def_4372, type, sK3729: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4373, type, sK3730: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4374, type, sK3731: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4375, type, sK3732: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4376, type, sK3733: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4377, type, sK3734: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4378, type, sK3735: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4379, type, sK3736: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4380, type, sK3737: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4381, type, sK3738: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4382, type, sK3739: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4383, type, sK3740: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4384, type, sK3741: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4385, type, sK3742: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4386, type, sK3743: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4387, type, sK3744: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4388, type, sK3745: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4389, type, sK3746: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4390, type, sK3747: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4391, type, sK3748: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4392, type, sK3749: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4393, type, sK3750: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4394, type, sK3751: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4395, type, sK3752: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4396, type, sK3753: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4397, type, sK3754: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4398, type, sK3755: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4399, type, sK3756: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4400, type, sK3757: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4401, type, sK3758: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4402, type, sK3759: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4403, type, sK3760: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4404, type, sK3761: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4405, type, sK3762: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4406, type, sK3763: !>[X0: $tType]:((set @ X0 > nat > nat > list @ X0))).
% 218.24/31.72 thf(func_def_4407, type, sK3764: !>[X0: $tType]:((set @ X0 > nat > nat))).
% 218.24/31.72 thf(func_def_4408, type, sK3765: !>[X0: $tType]:((nat > nat > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4409, type, sK3766: !>[X0: $tType]:((nat > nat > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4410, type, sK3767: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4411, type, sK3768: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_4412, type, sK3769: !>[X0: $tType]:(((nat > X0) > nat > nat > X0))).
% 218.24/31.72 thf(func_def_4413, type, sK3770: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 218.24/31.72 thf(func_def_4414, type, sK3771: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4415, type, sK3772: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4416, type, sK3773: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.72 thf(func_def_4417, type, sK3774: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.72 thf(func_def_4418, type, sK3775: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.72 thf(func_def_4419, type, sK3776: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.72 thf(func_def_4420, type, sK3777: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.72 thf(func_def_4421, type, sK3778: !>[X0: $tType]:((nat > set @ X0 > set @ X0))).
% 218.24/31.72 thf(func_def_4422, type, sK3779: !>[X0: $tType]:((nat > set @ X0 > X0))).
% 218.24/31.72 thf(func_def_4423, type, sK3780: !>[X0: $tType]:((nat > set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4424, type, sK3781: !>[X0: $tType]:((nat > set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4425, type, sK3782: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.72 thf(func_def_4426, type, sK3783: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.72 thf(func_def_4427, type, sK3784: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.72 thf(func_def_4428, type, sK3785: !>[X0: $tType]:((set @ X0 > nat > set @ X0))).
% 218.24/31.72 thf(func_def_4429, type, sK3786: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4430, type, sK3787: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4431, type, sK3788: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4432, type, sK3789: !>[X0: $tType]:((nat > set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4433, type, sK3790: !>[X0: $tType]:((nat > set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4434, type, sK3791: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4435, type, sK3792: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4436, type, sK3793: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4437, type, sK3794: !>[X0: $tType]:((set @ X0 > nat > nat > X0))).
% 218.24/31.72 thf(func_def_4438, type, sK3795: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4439, type, sK3796: !>[X0: $tType]:((set @ X0 > nat > nat))).
% 218.24/31.72 thf(func_def_4440, type, sK3797: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4441, type, sK3798: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4442, type, sK3799: !>[X0: $tType]:((set @ X0 > nat > nat > X0))).
% 218.24/31.72 thf(func_def_4443, type, sK3800: !>[X0: $tType]:((set @ X0 > nat > nat))).
% 218.24/31.72 thf(func_def_4444, type, sK3801: !>[X0: $tType]:((set @ X0 > nat > set @ X0))).
% 218.24/31.72 thf(func_def_4445, type, sK3802: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4446, type, sK3803: !>[X0: $tType]:((set @ X0 > nat > nat > X0))).
% 218.24/31.72 thf(func_def_4447, type, sK3804: !>[X0: $tType]:((set @ X0 > nat > nat))).
% 218.24/31.72 thf(func_def_4448, type, sK3805: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4449, type, sK3806: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4450, type, sK3807: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4451, type, sK3808: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4452, type, sK3809: !>[X0: $tType]:((set @ X0 > nat > nat > X0))).
% 218.24/31.72 thf(func_def_4453, type, sK3810: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4454, type, sK3811: !>[X0: $tType]:((set @ X0 > nat > nat))).
% 218.24/31.72 thf(func_def_4455, type, sK3812: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4456, type, sK3813: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4457, type, sK3814: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4458, type, sK3815: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4459, type, sK3816: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4460, type, sK3817: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4461, type, sK3818: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4462, type, sK3819: (int > nat > int)).
% 218.24/31.72 thf(func_def_4463, type, sK3820: (int > nat)).
% 218.24/31.72 thf(func_def_4464, type, sK3821: (int > int > nat > int)).
% 218.24/31.72 thf(func_def_4465, type, sK3822: (int > int > nat)).
% 218.24/31.72 thf(func_def_4466, type, sK3823: (set @ nat > nat > nat)).
% 218.24/31.72 thf(func_def_4467, type, sK3824: (set @ nat > nat)).
% 218.24/31.72 thf(func_def_4468, type, sK3825: ((nat > $o) > nat > nat)).
% 218.24/31.72 thf(func_def_4469, type, sK3826: ((nat > $o) > nat > nat)).
% 218.24/31.72 thf(func_def_4470, type, sK3827: ((nat > $o) > nat > nat)).
% 218.24/31.72 thf(func_def_4471, type, sK3828: ((nat > $o) > nat > nat)).
% 218.24/31.72 thf(func_def_4472, type, sK3829: !>[X0: $tType]:((X0 > X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4473, type, sK3830: !>[X0: $tType]:((X0 > X0 > nat))).
% 218.24/31.72 thf(func_def_4474, type, sK3831: (nat > nat > nat > nat)).
% 218.24/31.72 thf(func_def_4475, type, sK3832: (nat > nat > nat)).
% 218.24/31.72 thf(func_def_4476, type, sK3833: (int > int > int > int)).
% 218.24/31.72 thf(func_def_4477, type, sK3834: (int > int > int > int)).
% 218.24/31.72 thf(func_def_4478, type, sK3835: (int > int > int > int)).
% 218.24/31.72 thf(func_def_4479, type, sK3836: (int > int > int > int)).
% 218.24/31.72 thf(func_def_4480, type, sK3837: (int > int > int > int)).
% 218.24/31.72 thf(func_def_4481, type, sK3838: (int > int > int > int)).
% 218.24/31.72 thf(func_def_4482, type, sK3839: (int > int > int > int)).
% 218.24/31.72 thf(func_def_4483, type, sK3840: (int > int > int > int)).
% 218.24/31.72 thf(func_def_4484, type, sK3841: (int > int > int > int)).
% 218.24/31.72 thf(func_def_4485, type, sK3842: (int > int > int > int)).
% 218.24/31.72 thf(func_def_4486, type, sK3843: (int > int > int > int)).
% 218.24/31.72 thf(func_def_4487, type, sK3844: (int > int > int > int)).
% 218.24/31.72 thf(func_def_4488, type, sK3845: (int > int > int > int)).
% 218.24/31.72 thf(func_def_4489, type, sK3846: (int > int > int > int)).
% 218.24/31.72 thf(func_def_4490, type, sK3847: (real > nat)).
% 218.24/31.72 thf(func_def_4491, type, sK3848: (int > (nat > $o) > nat)).
% 218.24/31.72 thf(func_def_4492, type, sK3849: (int > (nat > $o) > nat)).
% 218.24/31.72 thf(func_def_4493, type, sK3850: !>[X0: $tType]:((set @ X0 > (X0 > nat) > X0))).
% 218.24/31.72 thf(func_def_4494, type, sK3851: !>[X0: $tType]:((set @ X0 > (X0 > nat) > X0))).
% 218.24/31.72 thf(func_def_4495, type, sK3852: !>[X0: $tType]:(((nat > X0) > X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4496, type, sK3853: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 218.24/31.72 thf(func_def_4497, type, sK3854: !>[X0: $tType]:(((nat > X0) > nat > nat > X0))).
% 218.24/31.72 thf(func_def_4498, type, sK3855: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 218.24/31.72 thf(func_def_4499, type, sK3856: !>[X0: $tType]:(((nat > X0) > nat > nat > X0))).
% 218.24/31.72 thf(func_def_4500, type, sK3857: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 218.24/31.72 thf(func_def_4501, type, sK3858: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 218.24/31.72 thf(func_def_4502, type, sK3859: !>[X0: $tType]:(((nat > X0) > nat > X0))).
% 218.24/31.72 thf(func_def_4503, type, sK3860: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 218.24/31.72 thf(func_def_4504, type, sK3861: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_4505, type, sK3862: !>[X0: $tType]:(((nat > X0) > (nat > X0) > nat > X0))).
% 218.24/31.72 thf(func_def_4506, type, sK3863: !>[X0: $tType]:(((nat > X0) > (nat > X0) > nat > nat))).
% 218.24/31.72 thf(func_def_4507, type, sK3864: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4508, type, sK3865: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4509, type, sK3866: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_4510, type, sK3867: (nat > nat > nat)).
% 218.24/31.72 thf(func_def_4511, type, sK3868: (nat > nat)).
% 218.24/31.72 thf(func_def_4512, type, sK3869: !>[X0: $tType]:((X0 > nat > nat))).
% 218.24/31.72 thf(func_def_4513, type, sK3870: !>[X0: $tType]:(((int > $o) > X0 > int))).
% 218.24/31.72 thf(func_def_4514, type, sK3871: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.72 thf(func_def_4515, type, sK3872: !>[X0: $tType]:(((nat > X0) > nat))).
% 218.24/31.72 thf(func_def_4516, type, sK3873: !>[X0: $tType, X1: $tType]:(((X0 > X1) > nat))).
% 218.24/31.72 thf(func_def_4517, type, sK3874: !>[X0: $tType, X1: $tType]:((real > (X0 > X1) > X0))).
% 218.24/31.72 thf(func_def_4518, type, sK3875: !>[X0: $tType, X1: $tType]:(((X0 > X1) > real))).
% 218.24/31.72 thf(func_def_4519, type, sK3876: !>[X0: $tType, X1: $tType]:((nat > (X0 > X1) > X0))).
% 218.24/31.72 thf(func_def_4520, type, sK3877: !>[X0: $tType, X1: $tType]:((nat > (X0 > X1) > X0))).
% 218.24/31.72 thf(func_def_4521, type, sK3878: !>[X0: $tType, X1: $tType]:(((X0 > X1) > nat))).
% 218.24/31.72 thf(func_def_4522, type, sK3879: !>[X0: $tType, X1: $tType]:((real > (X0 > X1) > X0))).
% 218.24/31.72 thf(func_def_4523, type, sK3880: !>[X0: $tType, X1: $tType]:(((X0 > X1) > real))).
% 218.24/31.72 thf(func_def_4524, type, sK3881: !>[X0: $tType, X1: $tType]:((nat > (X0 > X1) > X0))).
% 218.24/31.72 thf(func_def_4525, type, sK3882: !>[X0: $tType, X1: $tType]:((nat > (X0 > X1) > X0))).
% 218.24/31.72 thf(func_def_4526, type, sK3883: (nat > nat > nat)).
% 218.24/31.72 thf(func_def_4527, type, sK3884: (nat > nat)).
% 218.24/31.72 thf(func_def_4528, type, sK3885: !>[X0: $tType]:((set @ X0 > (X0 > nat) > X0))).
% 218.24/31.72 thf(func_def_4529, type, sK3886: !>[X0: $tType]:((set @ X0 > X0 > (X0 > nat) > X0))).
% 218.24/31.72 thf(func_def_4530, type, sK3887: !>[X0: $tType]:((set @ X0 > (X0 > nat) > X0))).
% 218.24/31.72 thf(func_def_4531, type, sK3888: !>[X0: $tType]:((set @ X0 > X0 > (X0 > nat) > X0))).
% 218.24/31.72 thf(func_def_4532, type, sK3889: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_4533, type, sK3890: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_4534, type, sK3891: (set @ int > int)).
% 218.24/31.72 thf(func_def_4535, type, sK3892: (int > set @ int > int)).
% 218.24/31.72 thf(func_def_4536, type, sK3893: (set @ int > nat > int)).
% 218.24/31.72 thf(func_def_4537, type, sK3894: (set @ int > nat)).
% 218.24/31.72 thf(func_def_4538, type, sK3895: (set @ int > nat)).
% 218.24/31.72 thf(func_def_4539, type, sK3896: (set @ int > int)).
% 218.24/31.72 thf(func_def_4540, type, sK3897: (int > set @ int > int)).
% 218.24/31.72 thf(func_def_4541, type, sK3898: (set @ int > nat > int)).
% 218.24/31.72 thf(func_def_4542, type, sK3899: (set @ int > nat)).
% 218.24/31.72 thf(func_def_4543, type, sK3900: (set @ int > nat)).
% 218.24/31.72 thf(func_def_4544, type, sK3901: (set @ nat > nat > nat)).
% 218.24/31.72 thf(func_def_4545, type, sK3902: (set @ nat > nat)).
% 218.24/31.72 thf(func_def_4546, type, sK3903: (set @ nat > nat > nat)).
% 218.24/31.72 thf(func_def_4547, type, sK3904: (set @ nat > nat)).
% 218.24/31.72 thf(func_def_4548, type, sK3905: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 218.24/31.72 thf(func_def_4549, type, sK3906: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4550, type, sK3907: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4551, type, sK3908: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > nat > X1))).
% 218.24/31.72 thf(func_def_4552, type, sK3909: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > nat))).
% 218.24/31.72 thf(func_def_4553, type, sK3910: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > nat > X1))).
% 218.24/31.72 thf(func_def_4554, type, sK3911: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > nat))).
% 218.24/31.72 thf(func_def_4555, type, sK3912: !>[X0: $tType]:((nat > nat > X0))).
% 218.24/31.72 thf(func_def_4556, type, sK3913: !>[X0: $tType]:((nat > nat))).
% 218.24/31.72 thf(func_def_4557, type, sK3914: (complex > nat > nat > complex)).
% 218.24/31.72 thf(func_def_4558, type, sK3915: (complex > nat > nat)).
% 218.24/31.72 thf(func_def_4559, type, sK3916: !>[X0: $tType]:((set @ X0 > nat > nat > list @ X0))).
% 218.24/31.72 thf(func_def_4560, type, sK3917: !>[X0: $tType]:((set @ X0 > nat > nat))).
% 218.24/31.72 thf(func_def_4561, type, sK3918: !>[X0: $tType]:((set @ X0 > nat > nat > list @ X0))).
% 218.24/31.72 thf(func_def_4562, type, sK3919: !>[X0: $tType]:((set @ X0 > nat > nat))).
% 218.24/31.72 thf(func_def_4563, type, sK3920: (nat > nat > nat)).
% 218.24/31.72 thf(func_def_4564, type, sK3921: (nat > nat)).
% 218.24/31.72 thf(func_def_4565, type, sK3922: (int > nat > int)).
% 218.24/31.72 thf(func_def_4566, type, sK3923: (int > nat)).
% 218.24/31.72 thf(func_def_4567, type, sK3924: (nat > (nat > nat) > nat > nat)).
% 218.24/31.72 thf(func_def_4568, type, sK3925: (nat > (nat > nat) > nat)).
% 218.24/31.72 thf(func_def_4569, type, sK3926: (nat > (nat > $o) > nat > nat)).
% 218.24/31.72 thf(func_def_4570, type, sK3927: (nat > (nat > $o) > nat)).
% 218.24/31.72 thf(func_def_4571, type, sK3928: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > nat > X1))).
% 218.24/31.72 thf(func_def_4572, type, sK3929: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_4573, type, sK3930: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X2 > X0) > (X2 > $o) > (X1 > $o) > nat > X0))).
% 218.24/31.72 thf(func_def_4574, type, sK3931: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X2 > X0) > (X2 > $o) > (X1 > $o) > nat))).
% 218.24/31.72 thf(func_def_4575, type, sK3932: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4576, type, sK3933: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4577, type, sK3934: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4578, type, sK3935: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4579, type, sK3936: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4580, type, sK3937: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4581, type, sK3938: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4582, type, sK3939: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4583, type, sK3940: !>[X0: $tType]:(((X0 > $o) > nat > X0))).
% 218.24/31.72 thf(func_def_4584, type, sK3941: !>[X0: $tType]:(((X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_4585, type, sK3942: (int > int > nat > int)).
% 218.24/31.72 thf(func_def_4586, type, sK3943: (int > int > nat)).
% 218.24/31.72 thf(func_def_4587, type, sK3944: (int > int > nat > int)).
% 218.24/31.72 thf(func_def_4588, type, sK3945: (int > int > nat)).
% 218.24/31.72 thf(func_def_4589, type, sK3946: (int > int > nat > int)).
% 218.24/31.72 thf(func_def_4590, type, sK3947: (int > int > nat)).
% 218.24/31.72 thf(func_def_4591, type, sK3948: (int > int > nat > int)).
% 218.24/31.72 thf(func_def_4592, type, sK3949: (int > int > nat)).
% 218.24/31.72 thf(func_def_4593, type, sK3950: (nat > nat > nat)).
% 218.24/31.72 thf(func_def_4594, type, sK3951: (nat > nat)).
% 218.24/31.72 thf(func_def_4595, type, sK3952: (nat > nat > nat)).
% 218.24/31.72 thf(func_def_4596, type, sK3953: (nat > nat)).
% 218.24/31.72 thf(func_def_4597, type, sK3954: !>[X0: $tType]:((set @ X0 > nat > set @ X0))).
% 218.24/31.72 thf(func_def_4598, type, sK3955: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4599, type, sK3956: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1 > $o) > nat > X0))).
% 218.24/31.72 thf(func_def_4600, type, sK3957: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1 > $o) > nat))).
% 218.24/31.72 thf(func_def_4601, type, sK3958: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X1 > $o) > X1))).
% 218.24/31.72 thf(func_def_4602, type, sK3959: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X1 > $o) > nat > X0))).
% 218.24/31.72 thf(func_def_4603, type, sK3960: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X1 > $o) > nat))).
% 218.24/31.72 thf(func_def_4604, type, sK3961: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X1 > $o) > nat))).
% 218.24/31.72 thf(func_def_4605, type, sK3962: !>[X0: $tType]:(((X0 > $o) > nat > X0))).
% 218.24/31.72 thf(func_def_4606, type, sK3963: !>[X0: $tType]:(((X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_4607, type, sK3964: !>[X0: $tType]:(((X0 > $o) > nat > X0))).
% 218.24/31.72 thf(func_def_4608, type, sK3965: !>[X0: $tType]:(((X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_4609, type, sK3966: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > nat > X0))).
% 218.24/31.72 thf(func_def_4610, type, sK3967: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_4611, type, sK3968: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > nat > X0))).
% 218.24/31.72 thf(func_def_4612, type, sK3969: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_4613, type, sK3970: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > nat > X0))).
% 218.24/31.72 thf(func_def_4614, type, sK3971: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_4615, type, sK3972: !>[X0: $tType]:(((int > $o) > X0 > int))).
% 218.24/31.72 thf(func_def_4616, type, sK3973: (int > int > nat > int)).
% 218.24/31.72 thf(func_def_4617, type, sK3974: (int > int > nat)).
% 218.24/31.72 thf(func_def_4618, type, sK3975: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4619, type, sK3976: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4620, type, sK3977: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4621, type, sK3978: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4622, type, sK3979: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4623, type, sK3980: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4624, type, sK3981: ((int > $o) > int)).
% 218.24/31.72 thf(func_def_4625, type, sK3982: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4626, type, sK3983: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4627, type, sK3984: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4628, type, sK3985: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4629, type, sK3986: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4630, type, sK3987: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4631, type, sK3988: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4632, type, sK3989: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4633, type, sK3990: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4634, type, sK3991: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4635, type, sK3992: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4636, type, sK3993: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4637, type, sK3994: ((int > $o) > int)).
% 218.24/31.72 thf(func_def_4638, type, sK3995: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4639, type, sK3996: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4640, type, sK3997: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4641, type, sK3998: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4642, type, sK3999: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4643, type, sK4000: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4644, type, sK4001: ((int > $o) > int)).
% 218.24/31.72 thf(func_def_4645, type, sK4002: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4646, type, sK4003: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4647, type, sK4004: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4648, type, sK4005: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4649, type, sK4006: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4650, type, sK4007: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4651, type, sK4008: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4652, type, sK4009: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4653, type, sK4010: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4654, type, sK4011: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4655, type, sK4012: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4656, type, sK4013: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4657, type, sK4014: ((int > $o) > int)).
% 218.24/31.72 thf(func_def_4658, type, sK4015: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4659, type, sK4016: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4660, type, sK4017: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4661, type, sK4018: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4662, type, sK4019: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4663, type, sK4020: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4664, type, sK4021: ((int > $o) > int)).
% 218.24/31.72 thf(func_def_4665, type, sK4022: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4666, type, sK4023: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4667, type, sK4024: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4668, type, sK4025: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4669, type, sK4026: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4670, type, sK4027: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4671, type, sK4028: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4672, type, sK4029: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4673, type, sK4030: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4674, type, sK4031: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4675, type, sK4032: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4676, type, sK4033: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4677, type, sK4034: ((int > $o) > int)).
% 218.24/31.72 thf(func_def_4678, type, sK4035: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4679, type, sK4036: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4680, type, sK4037: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4681, type, sK4038: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4682, type, sK4039: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4683, type, sK4040: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4684, type, sK4041: ((int > $o) > int)).
% 218.24/31.72 thf(func_def_4685, type, sK4042: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4686, type, sK4043: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4687, type, sK4044: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4688, type, sK4045: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4689, type, sK4046: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4690, type, sK4047: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4691, type, sK4048: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4692, type, sK4049: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4693, type, sK4050: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4694, type, sK4051: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4695, type, sK4052: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4696, type, sK4053: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4697, type, sK4054: ((int > $o) > int)).
% 218.24/31.72 thf(func_def_4698, type, sK4055: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4699, type, sK4056: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4700, type, sK4057: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4701, type, sK4058: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4702, type, sK4059: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4703, type, sK4060: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4704, type, sK4061: ((int > $o) > int)).
% 218.24/31.72 thf(func_def_4705, type, sK4062: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4706, type, sK4063: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4707, type, sK4064: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4708, type, sK4065: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4709, type, sK4066: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4710, type, sK4067: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4711, type, sK4068: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4712, type, sK4069: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4713, type, sK4070: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4714, type, sK4071: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4715, type, sK4072: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4716, type, sK4073: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4717, type, sK4074: ((int > $o) > int)).
% 218.24/31.72 thf(func_def_4718, type, sK4075: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4719, type, sK4076: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4720, type, sK4077: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4721, type, sK4078: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4722, type, sK4079: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4723, type, sK4080: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4724, type, sK4081: ((int > $o) > int)).
% 218.24/31.72 thf(func_def_4725, type, sK4082: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4726, type, sK4083: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4727, type, sK4084: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4728, type, sK4085: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4729, type, sK4086: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4730, type, sK4087: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4731, type, sK4088: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4732, type, sK4089: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4733, type, sK4090: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4734, type, sK4091: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4735, type, sK4092: (int > (int > $o) > int)).
% 218.24/31.72 thf(func_def_4736, type, sK4093: ((int > $o) > int > set @ int > int)).
% 218.24/31.72 thf(func_def_4737, type, sK4094: ((int > $o) > int)).
% 218.24/31.72 thf(func_def_4738, type, sK4095: ((int > $o) > int > int)).
% 218.24/31.72 thf(func_def_4739, type, sK4096: ((int > $o) > int > int)).
% 218.24/31.72 thf(func_def_4740, type, sK4097: ((int > $o) > int)).
% 218.24/31.72 thf(func_def_4741, type, sK4098: !>[X0: $tType]:((set @ X0 > (set @ X0 > $o) > nat > X0))).
% 218.24/31.72 thf(func_def_4742, type, sK4099: !>[X0: $tType]:((set @ X0 > (set @ X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_4743, type, sK4100: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4744, type, sK4101: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4745, type, sK4102: (set @ nat > nat > nat)).
% 218.24/31.72 thf(func_def_4746, type, sK4103: (set @ nat > nat)).
% 218.24/31.72 thf(func_def_4747, type, sK4104: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4748, type, sK4105: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4749, type, sK4106: !>[X0: $tType]:((X0 > (set @ X0 > $o) > nat > X0))).
% 218.24/31.72 thf(func_def_4750, type, sK4107: !>[X0: $tType]:((X0 > (set @ X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_4751, type, sK4108: !>[X0: $tType]:(((set @ X0 > $o) > nat > X0))).
% 218.24/31.72 thf(func_def_4752, type, sK4109: !>[X0: $tType]:(((set @ X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_4753, type, sK4110: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4754, type, sK4111: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4755, type, sK4112: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4756, type, sK4113: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4757, type, sK4114: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4758, type, sK4115: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4759, type, sK4116: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4760, type, sK4117: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4761, type, sK4118: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4762, type, sK4119: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4763, type, sK4120: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4764, type, sK4121: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4765, type, sK4122: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4766, type, sK4123: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4767, type, sK4124: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4768, type, sK4125: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4769, type, sK4126: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4770, type, sK4127: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4771, type, sK4128: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4772, type, sK4129: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4773, type, sK4130: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4774, type, sK4131: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4775, type, sK4132: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4776, type, sK4133: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4777, type, sK4134: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4778, type, sK4135: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4779, type, sK4136: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4780, type, sK4137: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4781, type, sK4138: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4782, type, sK4139: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4783, type, sK4140: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4784, type, sK4141: ((nat > $o) > nat > nat)).
% 218.24/31.72 thf(func_def_4785, type, sK4142: ((nat > $o) > nat > nat)).
% 218.24/31.72 thf(func_def_4786, type, sK4143: ((nat > $o) > nat > nat)).
% 218.24/31.72 thf(func_def_4787, type, sK4144: ((nat > $o) > nat > nat)).
% 218.24/31.72 thf(func_def_4788, type, sK4145: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4789, type, sK4146: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4790, type, sK4147: !>[X0: $tType]:((X0 > X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4791, type, sK4148: !>[X0: $tType]:((X0 > X0 > nat))).
% 218.24/31.72 thf(func_def_4792, type, sK4149: (nat > nat > nat > nat)).
% 218.24/31.72 thf(func_def_4793, type, sK4150: (nat > nat > nat)).
% 218.24/31.72 thf(func_def_4794, type, sK4151: !>[X0: $tType]:((set @ X0 > set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4795, type, sK4152: !>[X0: $tType]:((set @ X0 > set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4796, type, sK4153: !>[X0: $tType]:((set @ X0 > set @ X0 > X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4797, type, sK4154: !>[X0: $tType]:((set @ X0 > set @ X0 > X0 > nat))).
% 218.24/31.72 thf(func_def_4798, type, sK4155: !>[X0: $tType]:((set @ X0 > set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4799, type, sK4156: !>[X0: $tType]:((set @ X0 > set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4800, type, sK4157: !>[X0: $tType]:((set @ X0 > set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4801, type, sK4158: !>[X0: $tType]:((set @ X0 > set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4802, type, sK4159: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_4803, type, sK4160: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_4804, type, sK4161: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4805, type, sK4162: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4806, type, sK4163: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4807, type, sK4164: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4808, type, sK4165: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4809, type, sK4166: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4810, type, sK4167: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4811, type, sK4168: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4812, type, sK4169: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4813, type, sK4170: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4814, type, sK4171: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4815, type, sK4172: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4816, type, sK4173: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4817, type, sK4174: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4818, type, sK4175: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4819, type, sK4176: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4820, type, sK4177: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4821, type, sK4178: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4822, type, sK4179: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4823, type, sK4180: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4824, type, sK4181: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4825, type, sK4182: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4826, type, sK4183: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4827, type, sK4184: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4828, type, sK4185: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4829, type, sK4186: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4830, type, sK4187: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4831, type, sK4188: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4832, type, sK4189: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4833, type, sK4190: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4834, type, sK4191: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4835, type, sK4192: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4836, type, sK4193: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4837, type, sK4194: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4838, type, sK4195: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4839, type, sK4196: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4840, type, sK4197: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4841, type, sK4198: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4842, type, sK4199: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4843, type, sK4200: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4844, type, sK4201: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4845, type, sK4202: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4846, type, sK4203: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4847, type, sK4204: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4848, type, sK4205: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4849, type, sK4206: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4850, type, sK4207: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4851, type, sK4208: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4852, type, sK4209: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4853, type, sK4210: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4854, type, sK4211: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4855, type, sK4212: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4856, type, sK4213: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4857, type, sK4214: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4858, type, sK4215: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4859, type, sK4216: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4860, type, sK4217: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4861, type, sK4218: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4862, type, sK4219: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4863, type, sK4220: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4864, type, sK4221: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4865, type, sK4222: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4866, type, sK4223: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4867, type, sK4224: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4868, type, sK4225: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4869, type, sK4226: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4870, type, sK4227: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4871, type, sK4228: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4872, type, sK4229: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4873, type, sK4230: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4874, type, sK4231: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4875, type, sK4232: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4876, type, sK4233: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4877, type, sK4234: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4878, type, sK4235: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4879, type, sK4236: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4880, type, sK4237: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4881, type, sK4238: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4882, type, sK4239: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4883, type, sK4240: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4884, type, sK4241: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4885, type, sK4242: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4886, type, sK4243: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4887, type, sK4244: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4888, type, sK4245: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4889, type, sK4246: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4890, type, sK4247: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4891, type, sK4248: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4892, type, sK4249: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4893, type, sK4250: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4894, type, sK4251: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4895, type, sK4252: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4896, type, sK4253: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4897, type, sK4254: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4898, type, sK4255: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4899, type, sK4256: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4900, type, sK4257: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4901, type, sK4258: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4902, type, sK4259: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4903, type, sK4260: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4904, type, sK4261: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4905, type, sK4262: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4906, type, sK4263: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4907, type, sK4264: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4908, type, sK4265: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4909, type, sK4266: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4910, type, sK4267: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4911, type, sK4268: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4912, type, sK4269: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4913, type, sK4270: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4914, type, sK4271: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4915, type, sK4272: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4916, type, sK4273: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4917, type, sK4274: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4918, type, sK4275: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4919, type, sK4276: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4920, type, sK4277: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4921, type, sK4278: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4922, type, sK4279: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4923, type, sK4280: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4924, type, sK4281: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4925, type, sK4282: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4926, type, sK4283: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4927, type, sK4284: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4928, type, sK4285: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4929, type, sK4286: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4930, type, sK4287: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4931, type, sK4288: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4932, type, sK4289: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4933, type, sK4290: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4934, type, sK4291: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4935, type, sK4292: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4936, type, sK4293: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4937, type, sK4294: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4938, type, sK4295: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4939, type, sK4296: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4940, type, sK4297: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4941, type, sK4298: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4942, type, sK4299: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4943, type, sK4300: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4944, type, sK4301: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4945, type, sK4302: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4946, type, sK4303: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4947, type, sK4304: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4948, type, sK4305: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4949, type, sK4306: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4950, type, sK4307: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4951, type, sK4308: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4952, type, sK4309: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4953, type, sK4310: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4954, type, sK4311: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4955, type, sK4312: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4956, type, sK4313: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4957, type, sK4314: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4958, type, sK4315: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4959, type, sK4316: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4960, type, sK4317: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4961, type, sK4318: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4962, type, sK4319: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4963, type, sK4320: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4964, type, sK4321: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4965, type, sK4322: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4966, type, sK4323: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4967, type, sK4324: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4968, type, sK4325: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4969, type, sK4326: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4970, type, sK4327: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4971, type, sK4328: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4972, type, sK4329: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4973, type, sK4330: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4974, type, sK4331: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4975, type, sK4332: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4976, type, sK4333: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4977, type, sK4334: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4978, type, sK4335: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4979, type, sK4336: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4980, type, sK4337: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4981, type, sK4338: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4982, type, sK4339: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4983, type, sK4340: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_4984, type, sK4341: ((int > int > $o) > int > int > int)).
% 218.24/31.72 thf(func_def_4985, type, sK4342: ((int > int > $o) > int > int > int)).
% 218.24/31.72 thf(func_def_4986, type, sK4343: ((int > int > $o) > int > int > int)).
% 218.24/31.72 thf(func_def_4987, type, sK4344: ((int > int > $o) > int > int > int)).
% 218.24/31.72 thf(func_def_4988, type, sK4345: (int > (int > $o) > int > int)).
% 218.24/31.72 thf(func_def_4989, type, sK4346: (int > (int > $o) > int > int)).
% 218.24/31.72 thf(func_def_4990, type, sK4347: (int > (int > $o) > int > int)).
% 218.24/31.72 thf(func_def_4991, type, sK4348: (int > (int > $o) > int > int)).
% 218.24/31.72 thf(func_def_4992, type, sK4349: (int > (int > $o) > int > int)).
% 218.24/31.72 thf(func_def_4993, type, sK4350: (int > (int > $o) > int > int)).
% 218.24/31.72 thf(func_def_4994, type, sK4351: (int > (int > $o) > int > int)).
% 218.24/31.72 thf(func_def_4995, type, sK4352: (int > (int > $o) > int > int)).
% 218.24/31.72 thf(func_def_4996, type, sK4353: (int > (int > $o) > int > int)).
% 218.24/31.72 thf(func_def_4997, type, sK4354: (int > (int > $o) > int > int)).
% 218.24/31.72 thf(func_def_4998, type, sK4355: (int > (int > $o) > int > int)).
% 218.24/31.72 thf(func_def_4999, type, sK4356: (nat > (nat > $o) > nat > nat)).
% 218.24/31.72 thf(func_def_5000, type, sK4357: (nat > (nat > $o) > nat > nat)).
% 218.24/31.72 thf(func_def_5001, type, sK4358: (int > int > int)).
% 218.24/31.72 thf(func_def_5002, type, sK4359: (int > int > int)).
% 218.24/31.72 thf(func_def_5003, type, sK4360: (int > int > int)).
% 218.24/31.72 thf(func_def_5004, type, sK4361: (int > int > int)).
% 218.24/31.72 thf(func_def_5005, type, sK4362: (int > int > int)).
% 218.24/31.72 thf(func_def_5006, type, sK4363: (int > int > int)).
% 218.24/31.72 thf(func_def_5007, type, sK4364: (int > int > int)).
% 218.24/31.72 thf(func_def_5008, type, sK4365: (int > int > int)).
% 218.24/31.72 thf(func_def_5009, type, sK4366: (int > int > int)).
% 218.24/31.72 thf(func_def_5010, type, sK4367: (int > int > int)).
% 218.24/31.72 thf(func_def_5011, type, sK4368: (int > int > int)).
% 218.24/31.72 thf(func_def_5012, type, sK4369: (int > int > int)).
% 218.24/31.72 thf(func_def_5013, type, sK4370: (int > int > int)).
% 218.24/31.72 thf(func_def_5014, type, sK4371: (int > int > int)).
% 218.24/31.72 thf(func_def_5015, type, sK4372: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_5016, type, sK4373: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > nat))).
% 218.24/31.72 thf(func_def_5017, type, sK4374: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_5018, type, sK4375: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > nat))).
% 218.24/31.72 thf(func_def_5019, type, sK4376: !>[X0: $tType]:(((set @ X0 > $o) > nat > X0))).
% 218.24/31.72 thf(func_def_5020, type, sK4377: !>[X0: $tType]:(((set @ X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_5021, type, sK4378: !>[X0: $tType]:(((set @ X0 > $o) > nat > X0))).
% 218.24/31.72 thf(func_def_5022, type, sK4379: !>[X0: $tType]:(((set @ X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_5023, type, sK4380: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (set @ X1 > $o) > nat > X1))).
% 218.24/31.72 thf(func_def_5024, type, sK4381: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (set @ X1 > $o) > nat))).
% 218.24/31.72 thf(func_def_5025, type, sK4382: !>[X0: $tType]:(((set @ X0 > $o) > nat > X0))).
% 218.24/31.72 thf(func_def_5026, type, sK4383: !>[X0: $tType]:(((set @ X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_5027, type, sK4384: !>[X0: $tType]:(((set @ X0 > $o) > nat > X0))).
% 218.24/31.72 thf(func_def_5028, type, sK4385: !>[X0: $tType]:(((set @ X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_5029, type, sK4386: !>[X0: $tType]:(((set @ X0 > $o) > nat > X0))).
% 218.24/31.72 thf(func_def_5030, type, sK4387: !>[X0: $tType]:(((set @ X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_5031, type, sK4388: !>[X0: $tType]:(((set @ X0 > $o) > nat > X0))).
% 218.24/31.72 thf(func_def_5032, type, sK4389: !>[X0: $tType]:(((set @ X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_5033, type, sK4390: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_5034, type, sK4391: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_5035, type, sK4392: (int > int)).
% 218.24/31.72 thf(func_def_5036, type, sK4393: (int > int)).
% 218.24/31.72 thf(func_def_5037, type, sK4394: (int > int)).
% 218.24/31.72 thf(func_def_5038, type, sK4395: (int > int)).
% 218.24/31.72 thf(func_def_5039, type, sK4396: (int > int)).
% 218.24/31.72 thf(func_def_5040, type, sK4397: (int > int)).
% 218.24/31.72 thf(func_def_5041, type, sK4398: (int > int)).
% 218.24/31.72 thf(func_def_5042, type, sK4399: (int > int)).
% 218.24/31.72 thf(func_def_5043, type, sK4400: (int > int)).
% 218.24/31.72 thf(func_def_5044, type, sK4401: (int > int)).
% 218.24/31.72 thf(func_def_5045, type, sK4402: (int > int)).
% 218.24/31.72 thf(func_def_5046, type, sK4403: !>[X0: $tType]:((set @ X0 > X0 > nat > X0))).
% 218.24/31.72 thf(func_def_5047, type, sK4404: !>[X0: $tType]:((set @ X0 > X0 > nat))).
% 218.24/31.72 thf(func_def_5048, type, sK4405: !>[X0: $tType]:((set @ X0 > X0 > X0 > set @ X0 > set @ X0))).
% 218.24/31.72 thf(func_def_5049, type, sK4406: (int > int > int)).
% 218.24/31.72 thf(func_def_5050, type, sK4407: (int > int > int)).
% 218.24/31.72 thf(func_def_5051, type, sK4408: (int > int > int)).
% 218.24/31.72 thf(func_def_5052, type, sK4409: (int > int > int)).
% 218.24/31.72 thf(func_def_5053, type, sK4410: (int > int > int)).
% 218.24/31.72 thf(func_def_5054, type, sK4411: (int > int > int)).
% 218.24/31.72 thf(func_def_5055, type, sK4412: (int > int > int)).
% 218.24/31.72 thf(func_def_5056, type, sK4413: (int > int > int)).
% 218.24/31.72 thf(func_def_5057, type, sK4414: (int > int > int)).
% 218.24/31.72 thf(func_def_5058, type, sK4415: (int > int > int)).
% 218.24/31.72 thf(func_def_5059, type, sK4416: (int > int > int)).
% 218.24/31.72 thf(func_def_5060, type, sK4417: (int > int > int)).
% 218.24/31.72 thf(func_def_5061, type, sK4418: (int > int > int)).
% 218.24/31.72 thf(func_def_5062, type, sK4419: (int > int > int)).
% 218.24/31.72 thf(func_def_5063, type, sK4420: !>[X0: $tType]:((X0 > set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_5064, type, sK4421: !>[X0: $tType]:((X0 > set @ X0 > nat))).
% 218.24/31.72 thf(func_def_5065, type, sK4422: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_5066, type, sK4423: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_5067, type, sK4424: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5068, type, sK4425: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5069, type, sK4426: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5070, type, sK4427: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5071, type, sK4428: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5072, type, sK4429: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5073, type, sK4430: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5074, type, sK4431: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5075, type, sK4432: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5076, type, sK4433: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5077, type, sK4434: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5078, type, sK4435: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5079, type, sK4436: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5080, type, sK4437: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5081, type, sK4438: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5082, type, sK4439: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5083, type, sK4440: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5084, type, sK4441: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5085, type, sK4442: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5086, type, sK4443: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5087, type, sK4444: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5088, type, sK4445: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5089, type, sK4446: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5090, type, sK4447: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5091, type, sK4448: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5092, type, sK4449: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5093, type, sK4450: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5094, type, sK4451: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5095, type, sK4452: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5096, type, sK4453: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5097, type, sK4454: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5098, type, sK4455: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5099, type, sK4456: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5100, type, sK4457: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5101, type, sK4458: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5102, type, sK4459: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5103, type, sK4460: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5104, type, sK4461: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5105, type, sK4462: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5106, type, sK4463: (int > int > int > int > int)).
% 218.24/31.72 thf(func_def_5107, type, sK4464: (nat > (nat > $o) > nat > nat)).
% 218.24/31.72 thf(func_def_5108, type, sK4465: (nat > (nat > $o) > nat > nat)).
% 218.24/31.72 thf(func_def_5109, type, sK4466: (nat > (nat > $o) > nat > nat)).
% 218.24/31.72 thf(func_def_5110, type, sK4467: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 218.24/31.72 thf(func_def_5111, type, sK4468: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 218.24/31.72 thf(func_def_5112, type, sK4469: (nat > nat > nat > nat)).
% 218.24/31.72 thf(func_def_5113, type, sK4470: (nat > nat > nat > nat)).
% 218.24/31.72 thf(func_def_5114, type, sK4471: (nat > nat > nat)).
% 218.24/31.72 thf(func_def_5115, type, sK4472: (nat > nat)).
% 218.24/31.72 thf(func_def_5116, type, sK4473: (int > (int > $o) > int > int)).
% 218.24/31.72 thf(func_def_5117, type, sK4474: (int > (int > $o) > int > int)).
% 218.24/31.72 thf(func_def_5118, type, sK4475: (int > (int > $o) > int > int)).
% 218.24/31.72 thf(func_def_5119, type, sK4476: (int > (int > $o) > int > int)).
% 218.24/31.72 thf(func_def_5120, type, sK4477: (int > (int > $o) > int > int)).
% 218.24/31.72 thf(func_def_5121, type, sK4478: (int > (int > $o) > int > int)).
% 218.24/31.72 thf(func_def_5122, type, sK4479: (int > (int > $o) > int > int)).
% 218.24/31.72 thf(func_def_5123, type, sK4480: (int > (int > $o) > int > int)).
% 218.24/31.72 thf(func_def_5124, type, sK4481: (int > (int > $o) > int > int)).
% 218.24/31.72 thf(func_def_5125, type, sK4482: (int > (int > $o) > int > int)).
% 218.24/31.72 thf(func_def_5126, type, sK4483: (int > (int > $o) > int > int)).
% 218.24/31.72 thf(func_def_5127, type, sK4484: (nat > (nat > $o) > nat > nat)).
% 218.24/31.72 thf(func_def_5128, type, sK4485: (nat > (nat > $o) > nat > nat)).
% 218.24/31.72 thf(func_def_5129, type, sK4486: (nat > (nat > $o) > nat > nat)).
% 218.24/31.72 thf(func_def_5130, type, sK4487: (nat > (nat > $o) > nat > nat)).
% 218.24/31.72 thf(func_def_5131, type, sK4488: (vEBT_VEBT > $o)).
% 218.24/31.72 thf(func_def_5132, type, sK4489: (vEBT_VEBT > $o)).
% 218.24/31.72 thf(func_def_5133, type, sK4490: (set @ nat > nat > nat)).
% 218.24/31.72 thf(func_def_5134, type, sK4491: (set @ nat > nat)).
% 218.24/31.72 thf(func_def_5135, type, sK4492: (nat > list @ vEBT_VEBT > vEBT_VEBT > nat)).
% 218.24/31.72 thf(func_def_5136, type, sK4493: (nat > list @ vEBT_VEBT > vEBT_VEBT > nat)).
% 218.24/31.72 thf(func_def_5137, type, sK4494: (list @ vEBT_VEBT > nat > vEBT_VEBT > nat)).
% 218.24/31.72 thf(func_def_5138, type, sK4495: (list @ vEBT_VEBT > nat > vEBT_VEBT > nat)).
% 218.24/31.72 thf(func_def_5139, type, sK4496: (vEBT_VEBT > nat > nat > nat)).
% 218.24/31.72 thf(func_def_5140, type, sK4497: (vEBT_VEBT > nat > nat > nat)).
% 218.24/31.72 thf(func_def_5141, type, sK4498: (nat > nat)).
% 218.24/31.72 thf(func_def_5142, type, sK4499: !>[X0: $tType]:((list @ X0 > set @ product_prod @ X0 @ X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_5143, type, sK4500: !>[X0: $tType]:((list @ X0 > set @ product_prod @ X0 @ X0 > list @ X0 > X0))).
% 218.24/31.72 thf(func_def_5144, type, sK4501: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.72 thf(func_def_5145, type, sK4502: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 218.24/31.72 thf(func_def_5146, type, sK4503: !>[X0: $tType]:((nat > list @ X0 > (X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_5147, type, sK4504: !>[X0: $tType]:((X0 > list @ X0 > (X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_5148, type, sK4505: !>[X0: $tType]:((nat > (X0 > $o) > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_5149, type, sK4506: !>[X0: $tType]:(((X0 > $o) > X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_5150, type, sK4507: (set @ nat > nat)).
% 218.24/31.72 thf(func_def_5151, type, sK4508: (nat > set @ nat > nat)).
% 218.24/31.72 thf(func_def_5152, type, sK4509: (set @ nat > nat > nat)).
% 218.24/31.72 thf(func_def_5153, type, sK4510: (set @ nat > nat)).
% 218.24/31.72 thf(func_def_5154, type, sK4511: (set @ nat > nat)).
% 218.24/31.72 thf(func_def_5155, type, sK4512: !>[X0: $tType]:(((set @ X0 > $o) > nat > X0))).
% 218.24/31.72 thf(func_def_5156, type, sK4513: !>[X0: $tType]:(((set @ X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_5157, type, sK4514: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_5158, type, sK4515: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_5159, type, sK4516: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_5160, type, sK4517: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_5161, type, sK4518: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_5162, type, sK4519: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_5163, type, sK4520: !>[X0: $tType]:((nat > X0))).
% 218.24/31.72 thf(func_def_5164, type, sK4521: !>[X0: $tType]:(nat)).
% 218.24/31.72 thf(func_def_5165, type, sK4522: !>[X0: $tType]:((nat > X0))).
% 218.24/31.72 thf(func_def_5166, type, sK4523: !>[X0: $tType]:(nat)).
% 218.24/31.72 thf(func_def_5167, type, sK4524: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_5168, type, sK4525: !>[X0: $tType]:((set @ X0 > nat))).
% 218.24/31.72 thf(func_def_5169, type, sK4526: (set @ nat > nat > nat)).
% 218.24/31.72 thf(func_def_5170, type, sK4527: (set @ nat > nat)).
% 218.24/31.72 thf(func_def_5171, type, sK4528: (set @ nat > nat > nat)).
% 218.24/31.72 thf(func_def_5172, type, sK4529: (set @ nat > nat)).
% 218.24/31.72 thf(func_def_5173, type, sK4530: (set @ nat > nat)).
% 218.24/31.72 thf(func_def_5174, type, sK4531: (nat > set @ nat > nat)).
% 218.24/31.72 thf(func_def_5175, type, sK4532: (set @ nat > nat > nat)).
% 218.24/31.72 thf(func_def_5176, type, sK4533: (set @ nat > nat)).
% 218.24/31.72 thf(func_def_5177, type, sK4534: (set @ nat > nat)).
% 218.24/31.72 thf(func_def_5178, type, sK4535: !>[X0: $tType]:((list @ X0 > nat > X0))).
% 218.24/31.72 thf(func_def_5179, type, sK4536: !>[X0: $tType]:((list @ X0 > nat))).
% 218.24/31.72 thf(func_def_5180, type, sK4537: (vEBT_VEBT > nat > nat)).
% 218.24/31.72 thf(func_def_5181, type, sK4538: (vEBT_VEBT > nat)).
% 218.24/31.72 thf(func_def_5182, type, sK4539: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.72 thf(func_def_5183, type, sK4540: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_5184, type, sK4541: !>[X0: $tType]:((option @ X0 > X0))).
% 218.24/31.72 thf(func_def_5185, type, sK4542: !>[X0: $tType]:((option @ X0 > X0))).
% 218.24/31.72 thf(func_def_5186, type, sK4543: !>[X0: $tType]:(((X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_5187, type, sK4544: !>[X0: $tType]:(((X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_5188, type, sK4545: !>[X0: $tType]:((set @ X0 > X0))).
% 218.24/31.72 thf(func_def_5189, type, sK4546: ((nat > $o) > nat > nat)).
% 218.24/31.72 thf(func_def_5190, type, sK4547: ((nat > $o) > nat > nat)).
% 218.24/31.72 thf(func_def_5191, type, sK4548: (nat > nat)).
% 218.24/31.72 thf(func_def_5192, type, sK4549: ((nat > $o) > nat > nat)).
% 218.24/31.72 thf(func_def_5193, type, sK4550: ((nat > $o) > nat > nat)).
% 218.24/31.72 thf(func_def_5194, type, sK4551: (nat > nat > nat)).
% 218.24/31.72 thf(func_def_5195, type, sK4552: !>[X0: $tType]:((list @ X0 > set @ X0 > X0))).
% 218.24/31.72 thf(func_def_5196, type, sK4553: (nat > nat > nat)).
% 218.24/31.72 thf(func_def_5197, type, sK4554: ((nat > $o) > nat > nat)).
% 218.24/31.72 thf(func_def_5198, type, sK4555: ((nat > $o) > nat > nat)).
% 218.24/31.72 thf(func_def_5199, type, sK4556: ((nat > $o) > nat > nat)).
% 218.24/31.72 thf(func_def_5200, type, sK4557: ((nat > $o) > nat > nat)).
% 218.24/31.72 thf(func_def_5201, type, sK4558: ((nat > $o) > nat > nat)).
% 218.24/31.72 thf(func_def_5202, type, sK4559: ((nat > $o) > nat > nat)).
% 218.24/31.72 thf(func_def_5203, type, sK4560: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 218.24/31.72 thf(func_def_5204, type, sK4561: !>[X0: $tType]:((list @ X0 > (X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_5205, type, sK4562: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_5206, type, sK4563: !>[X0: $tType]:((nat > (nat > X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_5207, type, sK4564: !>[X0: $tType]:((nat > (nat > X0 > $o) > list @ X0))).
% 218.24/31.72 thf(func_def_5208, type, sK4565: !>[X0: $tType]:((list @ X0 > nat > (nat > X0 > $o) > nat))).
% 218.24/31.72 thf(func_def_5209, type, sK4566: !>[X0: $tType]:((nat > (nat > X0 > $o) > X0))).
% 218.24/31.72 thf(func_def_5210, type, sK4567: !>[X0: $tType]:((nat > (X0 > $o) > X0 > X0))).
% 218.24/31.72 thf(func_def_5211, type, sK4568: !>[X0: $tType]:((nat > (X0 > $o) > X0 > X0))).
% 218.24/31.72 thf(func_def_5212, type, sK4569: (vEBT_VEBT > nat > nat)).
% 218.24/31.72 thf(func_def_5213, type, sK4570: (vEBT_VEBT > nat > nat)).
% 218.24/31.72 thf(f1,axiom,(
% 218.24/31.72 ? [X7 : nat] : (vEBT_V8194947554948674370ptions @ (nth @ vEBT_VEBT @ treeList @ maxs) @ X7)),
% 218.24/31.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062_092_060exists_062x_O_Aboth__member__options_A_ItreeList_A_B_Amaxs_J_Ax_092_060close_062)).
% 218.24/31.72 thf(f4,axiom,(
% 218.24/31.72 (vEBT_V8194947554948674370ptions = (^[X0 : vEBT_VEBT, X1 : nat] : ((vEBT_VEBT_membermima @ X0 @ X1) | (vEBT_V5719532721284313246member @ X0 @ X1))))),
% 218.24/31.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_both__member__options__def)).
% 218.24/31.72 thf(f9004,axiom,(
% 218.24/31.72 ! [X0 : nat] : ((vEBT_V8194947554948674370ptions @ (nth @ vEBT_VEBT @ treeList @ maxs) @ X0) => thesis)),
% 218.24/31.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 218.24/31.72 thf(f9005,conjecture,(
% 218.24/31.72 thesis),
% 218.24/31.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)).
% 218.24/31.72 thf(f9006,negated_conjecture,(
% 218.24/31.72 ~thesis),
% 218.24/31.72 inference(negated_conjecture,[status(cth)],[f9005])).
% 218.24/31.72 thf(f9007,plain,(
% 218.24/31.72 ? [X0 : nat] : (vEBT_V8194947554948674370ptions @ (nth @ vEBT_VEBT @ treeList @ maxs) @ X0)),
% 218.24/31.73 inference(rectify,[],[f1])).
% 218.24/31.73 thf(f9008,plain,(
% 218.24/31.73 ? [X0 : nat] : (((vEBT_V8194947554948674370ptions @ (nth @ vEBT_VEBT @ treeList @ maxs) @ X0)) = $true)),
% 218.24/31.73 inference(fool_elimination,[],[f9007])).
% 218.24/31.73 thf(f9011,plain,(
% 218.24/31.73 (vEBT_V8194947554948674370ptions = (^[X0 : vEBT_VEBT, X1 : nat] : ((vEBT_VEBT_membermima @ X0 @ X1) | (vEBT_V5719532721284313246member @ X0 @ X1))))),
% 218.24/31.73 inference(rectify,[],[f4])).
% 218.24/31.73 thf(f9012,plain,(
% 218.24/31.73 (vEBT_V8194947554948674370ptions = (^[Y0 : vEBT_VEBT]: ((^[Y1 : nat]: ((vEBT_V5719532721284313246member @ Y0 @ Y1) | (vEBT_VEBT_membermima @ Y0 @ Y1))))))),
% 218.24/31.73 inference(fool_elimination,[],[f9011])).
% 218.24/31.73 thf(f24501,plain,(
% 218.24/31.73 ! [X0 : nat] : ((vEBT_V8194947554948674370ptions @ (nth @ vEBT_VEBT @ treeList @ maxs) @ X0) => thesis)),
% 218.24/31.73 inference(rectify,[],[f9004])).
% 218.24/31.73 thf(f24502,plain,(
% 218.24/31.73 ! [X0 : nat] : ((((vEBT_V8194947554948674370ptions @ (nth @ vEBT_VEBT @ treeList @ maxs) @ X0)) = $true) => (thesis = $true))),
% 218.24/31.73 inference(fool_elimination,[],[f24501])).
% 218.24/31.73 thf(f24503,plain,(
% 218.24/31.73 ~thesis),
% 218.24/31.73 inference(rectify,[],[f9006])).
% 218.24/31.73 thf(f24504,plain,(
% 218.24/31.73 ~ (thesis = $true)),
% 218.24/31.73 inference(fool_elimination,[],[f24503])).
% 218.24/31.73 thf(f25081,plain,(
% 218.24/31.73 (thesis != $true)),
% 218.24/31.73 inference(flattening,[],[f24504])).
% 218.24/31.73 thf(f33329,plain,(
% 218.24/31.73 ! [X0 : nat] : ((thesis = $true) | (((vEBT_V8194947554948674370ptions @ (nth @ vEBT_VEBT @ treeList @ maxs) @ X0)) != $true))),
% 218.24/31.73 inference(ennf_transformation,[],[f24502])).
% 218.24/31.73 thf(f33566,plain,(
% 218.24/31.73 ($true = ((vEBT_V8194947554948674370ptions @ (nth @ vEBT_VEBT @ treeList @ maxs) @ sK152)))),
% 218.24/31.73 inference(skolemize,[status(esa),new_symbols(skolem,[sK152]),skolemize(X0,sK152)],[f9008])).
% 218.24/31.73 thf(f35302,plain,(
% 218.24/31.73 ($true = ((vEBT_V8194947554948674370ptions @ (nth @ vEBT_VEBT @ treeList @ maxs) @ sK152)))),
% 218.24/31.73 inference(cnf_transformation,[],[f33566])).
% 218.24/31.73 thf(f35305,plain,(
% 218.24/31.73 (vEBT_V8194947554948674370ptions = (^[Y0 : vEBT_VEBT]: ((^[Y1 : nat]: ((vEBT_V5719532721284313246member @ Y0 @ Y1) | (vEBT_VEBT_membermima @ Y0 @ Y1))))))),
% 218.24/31.73 inference(cnf_transformation,[],[f9012])).
% 218.24/31.73 thf(f46896,plain,(
% 218.24/31.73 ( ! [X0 : nat] : ((thesis = $true) | (((vEBT_V8194947554948674370ptions @ (nth @ vEBT_VEBT @ treeList @ maxs) @ X0)) != $true)) )),
% 218.24/31.73 inference(cnf_transformation,[],[f33329])).
% 218.24/31.73 thf(f46897,plain,(
% 218.24/31.73 (thesis != $true)),
% 218.24/31.73 inference(cnf_transformation,[],[f25081])).
% 218.24/31.73 thf(f46949,plain,(
% 218.24/31.73 ($true = (((^[Y0 : vEBT_VEBT]: ((^[Y1 : nat]: ((vEBT_V5719532721284313246member @ Y0 @ Y1) | (vEBT_VEBT_membermima @ Y0 @ Y1))))) @ (nth @ vEBT_VEBT @ treeList @ maxs) @ sK152)))),
% 218.24/31.73 inference(definition_unfolding,[],[f35302,f35305])).
% 218.24/31.73 thf(f51062,plain,(
% 218.24/31.73 ( ! [X0 : nat] : ((thesis = $true) | ($true != (((^[Y0 : vEBT_VEBT]: ((^[Y1 : nat]: ((vEBT_V5719532721284313246member @ Y0 @ Y1) | (vEBT_VEBT_membermima @ Y0 @ Y1))))) @ (nth @ vEBT_VEBT @ treeList @ maxs) @ X0)))) )),
% 218.24/31.73 inference(definition_unfolding,[],[f46896,f35305])).
% 218.24/31.73 thf(f51662,plain,(
% 218.24/31.73 ( ! [X0 : nat] : ((thesis = $true) | ($true != (((vEBT_V5719532721284313246member @ (nth @ vEBT_VEBT @ treeList @ maxs) @ X0) | (vEBT_VEBT_membermima @ (nth @ vEBT_VEBT @ treeList @ maxs) @ X0))))) )),
% 218.24/31.73 inference(beta-eta_normalization,[],[f51062])).
% 218.24/31.73 thf(f51663,plain,(
% 218.24/31.73 ( ! [X0 : nat] : ((thesis = $true) | ($false = ((vEBT_VEBT_membermima @ (nth @ vEBT_VEBT @ treeList @ maxs) @ X0)))) )),
% 218.24/31.73 inference(or_proxy_clausification,[],[f51662])).
% 218.24/31.73 thf(f51664,plain,(
% 218.24/31.73 ( ! [X0 : nat] : ((thesis = $true) | ($false = ((vEBT_V5719532721284313246member @ (nth @ vEBT_VEBT @ treeList @ maxs) @ X0)))) )),
% 218.24/31.73 inference(or_proxy_clausification,[],[f51662])).
% 218.24/31.73 thf(f99577,plain,(
% 218.24/31.73 ($true = (((vEBT_V5719532721284313246member @ (nth @ vEBT_VEBT @ treeList @ maxs) @ sK152) | (vEBT_VEBT_membermima @ (nth @ vEBT_VEBT @ treeList @ maxs) @ sK152))))),
% 218.24/31.73 inference(beta-eta_normalization,[],[f46949])).
% 218.24/31.73 thf(f99578,plain,(
% 218.24/31.73 ($true = ((vEBT_VEBT_membermima @ (nth @ vEBT_VEBT @ treeList @ maxs) @ sK152))) | ($true = ((vEBT_V5719532721284313246member @ (nth @ vEBT_VEBT @ treeList @ maxs) @ sK152)))),
% 218.24/31.73 inference(or_proxy_clausification,[],[f99577])).
% 218.24/31.73 thf(f99586,definition,(
% 218.24/31.73 spl4571_1 <=> (thesis = $true)),
% 218.24/31.73 introduced(definition,[new_symbols(definition,[spl4571_1])],[avatar_definition])).
% 218.24/31.73 thf(f99589,plain,(
% 218.24/31.73 ~spl4571_1),
% 218.24/31.73 inference(avatar_split_clause,[],[f46897,f99586])).
% 218.24/31.73 thf(f99591,definition,(
% 218.24/31.73 spl4571_2 <=> ! [X0 : nat] : ($false = ((vEBT_V5719532721284313246member @ (nth @ vEBT_VEBT @ treeList @ maxs) @ X0)))),
% 218.24/31.73 introduced(definition,[new_symbols(definition,[spl4571_2])],[avatar_definition])).
% 218.24/31.73 thf(f99592,plain,(
% 218.24/31.73 ( ! [X0 : nat] : (($false = ((vEBT_V5719532721284313246member @ (nth @ vEBT_VEBT @ treeList @ maxs) @ X0)))) ) | ~spl4571_2),
% 218.24/31.73 inference(avatar_component_clause,[],[f99591])).
% 218.24/31.73 thf(f99593,plain,(
% 218.24/31.73 spl4571_2 | spl4571_1),
% 218.24/31.73 inference(avatar_split_clause,[],[f51664,f99586,f99591])).
% 218.24/31.73 thf(f99595,definition,(
% 218.24/31.73 spl4571_3 <=> ! [X0 : nat] : ($false = ((vEBT_VEBT_membermima @ (nth @ vEBT_VEBT @ treeList @ maxs) @ X0)))),
% 218.24/31.73 introduced(definition,[new_symbols(definition,[spl4571_3])],[avatar_definition])).
% 218.24/31.73 thf(f99596,plain,(
% 218.24/31.73 ( ! [X0 : nat] : (($false = ((vEBT_VEBT_membermima @ (nth @ vEBT_VEBT @ treeList @ maxs) @ X0)))) ) | ~spl4571_3),
% 218.24/31.73 inference(avatar_component_clause,[],[f99595])).
% 218.24/31.73 thf(f99597,plain,(
% 218.24/31.73 spl4571_3 | spl4571_1),
% 218.24/31.73 inference(avatar_split_clause,[],[f51663,f99586,f99595])).
% 218.24/31.73 thf(f215699,definition,(
% 218.24/31.73 spl4571_32452 <=> ($true = ((vEBT_V5719532721284313246member @ (nth @ vEBT_VEBT @ treeList @ maxs) @ sK152)))),
% 218.24/31.73 introduced(definition,[new_symbols(definition,[spl4571_32452])],[avatar_definition])).
% 218.24/31.73 thf(f215701,plain,(
% 218.24/31.73 ($true = ((vEBT_V5719532721284313246member @ (nth @ vEBT_VEBT @ treeList @ maxs) @ sK152))) | ~spl4571_32452),
% 218.24/31.73 inference(avatar_component_clause,[],[f215699])).
% 218.24/31.73 thf(f215703,definition,(
% 218.24/31.73 spl4571_32453 <=> ($true = ((vEBT_VEBT_membermima @ (nth @ vEBT_VEBT @ treeList @ maxs) @ sK152)))),
% 218.24/31.73 introduced(definition,[new_symbols(definition,[spl4571_32453])],[avatar_definition])).
% 218.24/31.73 thf(f215705,plain,(
% 218.24/31.73 ($true = ((vEBT_VEBT_membermima @ (nth @ vEBT_VEBT @ treeList @ maxs) @ sK152))) | ~spl4571_32453),
% 218.24/31.73 inference(avatar_component_clause,[],[f215703])).
% 218.24/31.73 thf(f215706,plain,(
% 218.24/31.73 spl4571_32452 | spl4571_32453),
% 218.24/31.73 inference(avatar_split_clause,[],[f99578,f215703,f215699])).
% 218.24/31.73 thf(f273065,plain,(
% 218.24/31.73 ($true = $false) | (~spl4571_3 | ~spl4571_32453)),
% 218.24/31.73 inference(forward_demodulation,[],[f215705,f99596])).
% 218.24/31.73 thf(f273066,plain,(
% 218.24/31.73 $false | (~spl4571_3 | ~spl4571_32453)),
% 218.24/31.73 inference(trivial_inequality_removal,[],[f273065])).
% 218.24/31.73 thf(f273067,plain,(
% 218.24/31.73 ~spl4571_3 | ~spl4571_32453),
% 218.24/31.73 inference(avatar_contradiction_clause,[],[f273066])).
% 218.24/31.73 thf(f284308,plain,(
% 218.24/31.73 ($true = $false) | (~spl4571_2 | ~spl4571_32452)),
% 218.24/31.73 inference(forward_demodulation,[],[f215701,f99592])).
% 218.24/31.73 thf(f284309,plain,(
% 218.24/31.73 $false | (~spl4571_2 | ~spl4571_32452)),
% 218.24/31.73 inference(trivial_inequality_removal,[],[f284308])).
% 218.24/31.73 thf(f284310,plain,(
% 218.24/31.73 ~spl4571_2 | ~spl4571_32452),
% 218.24/31.73 inference(avatar_contradiction_clause,[],[f284309])).
% 218.24/31.73 cnf(s1, plain, ~spl4571_1, inference(sat_conversion,[],[f99589])).
% 218.24/31.73 cnf(s2, plain, spl4571_1 | spl4571_2, inference(sat_conversion,[],[f99593])).
% 218.24/31.73 cnf(s3, plain, spl4571_1 | spl4571_3, inference(sat_conversion,[],[f99597])).
% 218.24/31.73 cnf(s18529, plain, spl4571_32452 | spl4571_32453, inference(sat_conversion,[],[f215706])).
% 218.24/31.73 cnf(s37246, plain, ~spl4571_3 | ~spl4571_32453, inference(sat_conversion,[],[f273067])).
% 218.24/31.73 cnf(s40966, plain, ~spl4571_2 | ~spl4571_32452, inference(sat_conversion,[],[f284310])).
% 218.24/31.73 cnf(s53247, plain, spl4571_3, inference(rat,[],[s3,s1])).
% 218.24/31.73 cnf(s53248, plain, spl4571_2, inference(rat,[],[s2,s1])).
% 218.24/31.73 cnf(s53249, plain, ~spl4571_32453, inference(rat,[],[s37246,s53247])).
% 218.24/31.73 cnf(s53250, plain, ~spl4571_32452, inference(rat,[],[s40966,s53248])).
% 218.24/31.73 cnf(s53251, plain, $false, inference(rat,[],[s18529,s53249,s53250])).
% 218.24/31.73 thf(f329034,plain,(
% 218.24/31.73 $false),
% 218.24/31.73 inference(avatar_sat_refutation,[],[s53251])).
% 218.24/31.73 % SZS output end Proof for theBenchmark
% 218.24/31.73 % (1806297)------------------------------
% 218.24/31.73 % (1806297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 218.24/31.73 % (1806297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 218.24/31.73 % (1806297)CaDiCaL version: 2.1.3
% 218.24/31.73 % (1806297)Termination reason: Refutation
% 218.24/31.73 % (1806297)Time elapsed: 11.312 s
% 218.24/31.73 % (1806297)Peak memory usage: 192 MB
% 218.24/31.73 % (1806297)Instructions burned: 24802 (million)
% 218.24/31.73 % (1806142)Success in time 31.437 s
% 218.24/31.73 % Vampire exiting
%------------------------------------------------------------------------------