%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP221^2 : 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 : n015.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 08:11:16 AM UTC 2026
% Result : Theorem 181.38s 27.86s
% Output : Refutation 181.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP221^2 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 % Computer : n015.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Tue Sep 29 20:23:04 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.23/0.26 Running first-order model finding
% 0.23/0.26 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
% 16.49/3.33 % (4068816)Will run a generic schedule for satisfiability detection.
% 16.49/3.33 % (4068822)% WARNING: option uhcvi not known.
% 16.49/3.33 % (4068822)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=351599834:i=135531:add=off:rawr=on_2993 on theBenchmark for (2993ds/135531Mi)
% 16.49/3.33 % (4068821)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=302977607_2993 on theBenchmark for (2993ds/0Mi)
% 16.49/3.33 % (4068823)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1890340310:i=88024:add=on:rawr=on_2993 on theBenchmark for (2993ds/88024Mi)
% 16.49/3.33 % (4068825)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2061279845:i=116_2993 on theBenchmark for (2993ds/116Mi)
% 16.49/3.33 % (4068824)dis+10_1_sil=32000:sp=arity:random_seed=3312161685:i=103:fgj=on_2993 on theBenchmark for (2993ds/103Mi)
% 16.49/3.33 % (4068827)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2725964854:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2993 on theBenchmark for (2993ds/159Mi)
% 16.49/3.33 % (4068826)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4264107273:i=131_2993 on theBenchmark for (2993ds/131Mi)
% 16.49/3.33 % (4068825)Instruction limit reached!
% 16.49/3.33 % (4068825)------------------------------
% 16.49/3.33 % (4068825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.49/3.33 % (4068825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.49/3.33 % (4068825)CaDiCaL version: 2.1.3
% 16.49/3.33 % (4068825)Termination reason: Instruction limit
% 16.49/3.33 % (4068825)Termination phase: Initialization
% 16.49/3.33 % (4068825)Time elapsed: 0.049 s
% 16.49/3.33 % (4068825)Peak memory usage: 26 MB
% 16.49/3.33 % (4068825)Instructions burned: 118 (million)
% 16.49/3.33 % (4068835)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1383596965:i=714:nm=2_2992 on theBenchmark for (2992ds/714Mi)
% 16.49/3.33 % (4068824)Instruction limit reached!
% 16.49/3.33 % (4068824)------------------------------
% 16.49/3.33 % (4068824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.49/3.33 % (4068824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.49/3.33 % (4068824)CaDiCaL version: 2.1.3
% 16.49/3.33 % (4068824)Termination reason: Instruction limit
% 16.49/3.33 % (4068824)Termination phase: Initialization
% 16.49/3.33 % (4068824)Time elapsed: 0.127 s
% 16.49/3.33 % (4068824)Peak memory usage: 26 MB
% 16.49/3.33 % (4068824)Instructions burned: 105 (million)
% 16.49/3.33 % (4068826)Instruction limit reached!
% 16.49/3.33 % (4068826)------------------------------
% 16.49/3.33 % (4068826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.49/3.33 % (4068826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.49/3.33 % (4068826)CaDiCaL version: 2.1.3
% 16.49/3.33 % (4068826)Termination reason: Instruction limit
% 16.49/3.33 % (4068826)Termination phase: Initialization
% 16.49/3.33 % (4068826)Time elapsed: 0.136 s
% 16.49/3.33 % (4068826)Peak memory usage: 27 MB
% 16.49/3.33 % (4068826)Instructions burned: 132 (million)
% 16.49/3.33 % (4068837)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3150512762:i=131:bd=preordered:fsd=on_2991 on theBenchmark for (2991ds/131Mi)
% 16.49/3.33 % (4068838)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=1001965264:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2991 on theBenchmark for (2991ds/684Mi)
% 16.49/3.33 % (4068827)Instruction limit reached!
% 16.49/3.33 % (4068827)------------------------------
% 16.49/3.33 % (4068827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.49/3.33 % (4068827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.49/3.33 % (4068827)CaDiCaL version: 2.1.3
% 16.49/3.33 % (4068827)Termination reason: Instruction limit
% 16.49/3.33 % (4068827)Termination phase: Initialization
% 16.49/3.33 % (4068827)Time elapsed: 0.171 s
% 16.49/3.33 % (4068827)Peak memory usage: 27 MB
% 16.49/3.33 % (4068827)Instructions burned: 159 (million)
% 16.49/3.33 % (4068837)Instruction limit reached!
% 16.49/3.33 % (4068837)------------------------------
% 16.49/3.33 % (4068837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.49/3.33 % (4068837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.49/3.33 % (4068837)CaDiCaL version: 2.1.3
% 16.49/3.33 % (4068837)Termination reason: Instruction limit
% 16.49/3.33 % (4068837)Termination phase: Initialization
% 32.65/5.85 % (4068837)Time elapsed: 0.059 s
% 32.65/5.85 % (4068837)Peak memory usage: 26 MB
% 32.65/5.85 % (4068837)Instructions burned: 131 (million)
% 32.65/5.85 % (4068841)ott-21_1_sil=16000:fs=off:random_seed=1708801753:i=180:av=off:fsr=off_2990 on theBenchmark for (2990ds/180Mi)
% 32.65/5.85 % (4068842)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1130352498:i=477:bd=all_2990 on theBenchmark for (2990ds/477Mi)
% 32.65/5.85 % (4068841)Instruction limit reached!
% 32.65/5.85 % (4068841)------------------------------
% 32.65/5.85 % (4068841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.65/5.85 % (4068841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.65/5.85 % (4068841)CaDiCaL version: 2.1.3
% 32.65/5.85 % (4068841)Termination reason: Instruction limit
% 32.65/5.85 % (4068841)Termination phase: Initialization
% 32.65/5.85 % (4068841)Time elapsed: 0.153 s
% 32.65/5.85 % (4068841)Peak memory usage: 27 MB
% 32.65/5.85 % (4068841)Instructions burned: 182 (million)
% 32.65/5.85 % (4068845)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2063950213:fmbsr=1.3:i=865:ins=25_2988 on theBenchmark for (2988ds/865Mi)
% 32.65/5.85 % (4068842)Instruction limit reached!
% 32.65/5.85 % (4068842)------------------------------
% 32.65/5.85 % (4068842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.65/5.85 % (4068842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.65/5.85 % (4068842)CaDiCaL version: 2.1.3
% 32.65/5.85 % (4068842)Termination reason: Instruction limit
% 32.65/5.85 % (4068842)Termination phase: Initialization
% 32.65/5.85 % (4068842)Time elapsed: 0.259 s
% 32.65/5.85 % (4068842)Peak memory usage: 31 MB
% 32.65/5.85 % (4068842)Instructions burned: 478 (million)
% 32.65/5.85 % (4068847)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2666436406:i=1179_2987 on theBenchmark for (2987ds/1179Mi)
% 32.65/5.85 % (4068835)Instruction limit reached!
% 32.65/5.85 % (4068835)------------------------------
% 32.65/5.85 % (4068835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.65/5.85 % (4068835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.65/5.85 % (4068835)CaDiCaL version: 2.1.3
% 32.65/5.85 % (4068835)Termination reason: Instruction limit
% 32.65/5.85 % (4068835)Termination phase: Initialization
% 32.65/5.85 % (4068835)Time elapsed: 0.490 s
% 32.65/5.85 % (4068835)Peak memory usage: 35 MB
% 32.65/5.85 % (4068835)Instructions burned: 714 (million)
% 32.65/5.85 % (4068838)Instruction limit reached!
% 32.65/5.85 % (4068838)------------------------------
% 32.65/5.85 % (4068838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.65/5.85 % (4068838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.65/5.85 % (4068838)CaDiCaL version: 2.1.3
% 32.65/5.85 % (4068838)Termination reason: Instruction limit
% 32.65/5.85 % (4068838)Termination phase: Initialization
% 32.65/5.85 % (4068838)Time elapsed: 0.371 s
% 32.65/5.85 % (4068838)Peak memory usage: 35 MB
% 32.65/5.85 % (4068838)Instructions burned: 686 (million)
% 32.65/5.85 % (4068849)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3124446746:i=889:ins=1_2987 on theBenchmark for (2987ds/889Mi)
% 32.65/5.85 % (4068850)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=1458991831:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2987 on theBenchmark for (2987ds/692Mi)
% 32.65/5.85 % (4068850)Instruction limit reached!
% 32.65/5.85 % (4068850)------------------------------
% 32.65/5.85 % (4068850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.65/5.85 % (4068850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.65/5.85 % (4068850)CaDiCaL version: 2.1.3
% 32.65/5.85 % (4068850)Termination reason: Instruction limit
% 32.65/5.85 % (4068850)Termination phase: Initialization
% 32.65/5.85 % (4068850)Time elapsed: 0.333 s
% 32.65/5.85 % (4068850)Peak memory usage: 35 MB
% 32.65/5.85 % (4068850)Instructions burned: 692 (million)
% 32.65/5.85 % (4068854)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2323117070:i=879:kws=inv_precedence:fsr=off_2983 on theBenchmark for (2983ds/879Mi)
% 32.65/5.85 % (4068847)Instruction limit reached!
% 32.65/5.85 % (4068847)------------------------------
% 32.65/5.85 % (4068847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.65/5.85 % (4068847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.06/9.33 % (4068847)CaDiCaL version: 2.1.3
% 59.06/9.33 % (4068847)Termination reason: Instruction limit
% 59.06/9.33 % (4068847)Termination phase: Property scanning
% 59.06/9.33 % (4068847)Time elapsed: 0.438 s
% 59.06/9.33 % (4068847)Peak memory usage: 37 MB
% 59.06/9.33 % (4068847)Instructions burned: 1181 (million)
% 59.06/9.33 % (4068845)Instruction limit reached!
% 59.06/9.33 % (4068845)------------------------------
% 59.06/9.33 % (4068845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.06/9.33 % (4068845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.06/9.33 % (4068845)CaDiCaL version: 2.1.3
% 59.06/9.33 % (4068845)Termination reason: Instruction limit
% 59.06/9.33 % (4068845)Termination phase: Property scanning
% 59.06/9.33 % (4068845)Time elapsed: 0.559 s
% 59.06/9.33 % (4068845)Peak memory usage: 36 MB
% 59.06/9.33 % (4068845)Instructions burned: 866 (million)
% 59.06/9.33 % (4068856)fmb+10_1_sil=64000:random_seed=1230189021:i=22061:nm=2:gsp=on_2983 on theBenchmark for (2983ds/22061Mi)
% 59.06/9.33 % (4068857)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4132766503:i=9515:nm=5_2982 on theBenchmark for (2982ds/9515Mi)
% 59.06/9.33 % (4068822)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 59.06/9.33 % (4068849)Instruction limit reached!
% 59.06/9.33 % (4068849)------------------------------
% 59.06/9.33 % (4068849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.06/9.33 % (4068849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.06/9.33 % (4068849)CaDiCaL version: 2.1.3
% 59.06/9.33 % (4068849)Termination reason: Instruction limit
% 59.06/9.33 % (4068849)Termination phase: Property scanning
% 59.06/9.33 % (4068849)Time elapsed: 0.654 s
% 59.06/9.33 % (4068849)Peak memory usage: 37 MB
% 59.06/9.33 % (4068849)Instructions burned: 889 (million)
% 59.06/9.33 % (4068860)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=666997650:fmbsr=1.7:i=920_2980 on theBenchmark for (2980ds/920Mi)
% 59.06/9.33 % (4068854)Instruction limit reached!
% 59.06/9.33 % (4068854)------------------------------
% 59.06/9.33 % (4068854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.06/9.33 % (4068854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.06/9.33 % (4068854)CaDiCaL version: 2.1.3
% 59.06/9.33 % (4068854)Termination reason: Instruction limit
% 59.06/9.33 % (4068854)Termination phase: Property scanning
% 59.06/9.33 % (4068854)Time elapsed: 0.387 s
% 59.06/9.33 % (4068854)Peak memory usage: 37 MB
% 59.06/9.33 % (4068854)Instructions burned: 880 (million)
% 59.06/9.33 % (4068862)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3714646159:i=5131_2979 on theBenchmark for (2979ds/5131Mi)
% 59.06/9.33 % (4068860)Instruction limit reached!
% 59.06/9.33 % (4068860)------------------------------
% 59.06/9.33 % (4068860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.06/9.33 % (4068860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.06/9.33 % (4068860)CaDiCaL version: 2.1.3
% 59.06/9.33 % (4068860)Termination reason: Instruction limit
% 59.06/9.33 % (4068860)Termination phase: Property scanning
% 59.06/9.33 % (4068860)Time elapsed: 0.399 s
% 59.06/9.33 % (4068860)Peak memory usage: 36 MB
% 59.06/9.33 % (4068860)Instructions burned: 920 (million)
% 59.06/9.33 % (4068856)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 59.06/9.33 % (4068864)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1337016983:i=1472:ins=7:fdi=8:gsp=on_2976 on theBenchmark for (2976ds/1472Mi)
% 59.06/9.33 % Exception at run slice level
% 59.06/9.33 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 59.06/9.33 % (4068866)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=104594551:i=6324_2973 on theBenchmark for (2973ds/6324Mi)
% 59.06/9.33 % Exception at run slice level
% 59.06/9.33 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 59.06/9.33 % (4068868)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3979190162:fmbsr=2.30978:i=2174_2972 on theBenchmark for (2972ds/2174Mi)
% 59.06/9.33 % (4068862)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 59.06/9.33 % (4068864)Instruction limit reached!
% 59.06/9.33 % (4068864)------------------------------
% 59.06/9.33 % (4068864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.06/9.33 % (4068864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.09/20.79 % (4068864)CaDiCaL version: 2.1.3
% 140.09/20.79 % (4068864)Termination reason: Instruction limit
% 140.09/20.79 % (4068864)Termination phase: Preprocessing 2
% 140.09/20.79 % (4068864)Time elapsed: 0.651 s
% 140.09/20.79 % (4068864)Peak memory usage: 38 MB
% 140.09/20.79 % (4068864)Instructions burned: 1472 (million)
% 140.09/20.79 % (4068870)ott-2_1_sil=16000:newcnf=on:random_seed=134183995:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2969 on theBenchmark for (2969ds/869Mi)
% 140.09/20.79 % (4068868)Instruction limit reached!
% 140.09/20.79 % (4068868)------------------------------
% 140.09/20.79 % (4068868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 140.09/20.79 % (4068868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.09/20.79 % (4068868)CaDiCaL version: 2.1.3
% 140.09/20.79 % (4068868)Termination reason: Instruction limit
% 140.09/20.79 % (4068868)Termination phase: Property scanning
% 140.09/20.79 % (4068868)Time elapsed: 0.555 s
% 140.09/20.79 % (4068868)Peak memory usage: 47 MB
% 140.09/20.79 % (4068868)Instructions burned: 2177 (million)
% 140.09/20.79 % (4068872)ott+10_1_sil=32000:tgt=ground:random_seed=2850449197:i=5114:av=off_2966 on theBenchmark for (2966ds/5114Mi)
% 140.09/20.79 % (4068870)Instruction limit reached!
% 140.09/20.79 % (4068870)------------------------------
% 140.09/20.79 % (4068870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 140.09/20.79 % (4068870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.09/20.79 % (4068870)CaDiCaL version: 2.1.3
% 140.09/20.79 % (4068870)Termination reason: Instruction limit
% 140.09/20.79 % (4068870)Termination phase: Property scanning
% 140.09/20.79 % (4068870)Time elapsed: 0.381 s
% 140.09/20.79 % (4068870)Peak memory usage: 36 MB
% 140.09/20.79 % (4068870)Instructions burned: 871 (million)
% 140.09/20.79 % (4068874)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1701910378:i=54282_2965 on theBenchmark for (2965ds/54282Mi)
% 140.09/20.79 % (4068822)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 140.09/20.79 % Exception at run slice level
% 140.09/20.79 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 140.09/20.79 % (4068876)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2816775105:i=3512:aac=none_2956 on theBenchmark for (2956ds/3512Mi)
% 140.09/20.79 % Exception at run slice level
% 140.09/20.79 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 140.09/20.79 % (4068878)dis+21_1_sil=32000:sas=cadical:random_seed=2122692237:i=3773:amm=off_2952 on theBenchmark for (2952ds/3773Mi)
% 140.09/20.79 % (4068872)Instruction limit reached!
% 140.09/20.79 % (4068872)------------------------------
% 140.09/20.79 % (4068872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 140.09/20.79 % (4068872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.09/20.79 % (4068872)CaDiCaL version: 2.1.3
% 140.09/20.79 % (4068872)Termination reason: Instruction limit
% 140.09/20.79 % (4068872)Termination phase: Saturation
% 140.09/20.79 % (4068872)Time elapsed: 1.489 s
% 140.09/20.79 % (4068872)Peak memory usage: 61 MB
% 140.09/20.79 % (4068872)Instructions burned: 5114 (million)
% 140.09/20.79 % (4068880)ott+11_1_sil=16000:gs=on:random_seed=3940109390:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2951 on theBenchmark for (2951ds/2251Mi)
% 140.09/20.79 % Exception at run slice level
% 140.09/20.79 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 140.09/20.79 % (4068882)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1286412260:fmbsr=1.6:i=67534_2947 on theBenchmark for (2947ds/67534Mi)
% 140.09/20.79 % (4068862)Instruction limit reached!
% 140.09/20.79 % (4068862)------------------------------
% 140.09/20.79 % (4068862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 140.09/20.79 % (4068862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.09/20.79 % (4068862)CaDiCaL version: 2.1.3
% 140.09/20.79 % (4068862)Termination reason: Instruction limit
% 140.09/20.79 % (4068862)Termination phase: Saturation
% 140.09/20.79 % (4068862)Time elapsed: 3.426 s
% 140.09/20.79 % (4068862)Peak memory usage: 61 MB
% 140.09/20.79 % (4068862)Instructions burned: 5132 (million)
% 140.09/20.79 % (4068880)Instruction limit reached!
% 140.09/20.79 % (4068880)------------------------------
% 140.09/20.79 % (4068880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 181.38/27.86 % (4068880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 181.38/27.86 % (4068880)CaDiCaL version: 2.1.3
% 181.38/27.86 % (4068880)Termination reason: Instruction limit
% 181.38/27.86 % (4068880)Termination phase: Property scanning
% 181.38/27.86 % (4068880)Time elapsed: 0.735 s
% 181.38/27.86 % (4068880)Peak memory usage: 49 MB
% 181.38/27.86 % (4068880)Instructions burned: 2252 (million)
% 181.38/27.86 % (4068884)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=666950816:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2944 on theBenchmark for (2944ds/4591Mi)
% 181.38/27.86 % (4068886)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1578710251:i=29340_2944 on theBenchmark for (2944ds/29340Mi)
% 181.38/27.86 % (4068876)Instruction limit reached!
% 181.38/27.86 % (4068876)------------------------------
% 181.38/27.86 % (4068876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 181.38/27.86 % (4068876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 181.38/27.86 % (4068876)CaDiCaL version: 2.1.3
% 181.38/27.86 % (4068876)Termination reason: Instruction limit
% 181.38/27.86 % (4068876)Termination phase: Property scanning
% 181.38/27.86 % (4068876)Time elapsed: 1.665 s
% 181.38/27.86 % (4068876)Peak memory usage: 49 MB
% 181.38/27.86 % (4068876)Instructions burned: 3514 (million)
% 181.38/27.86 % (4068888)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=1285611544:i=5211_2939 on theBenchmark for (2939ds/5211Mi)
% 181.38/27.86 % (4068884)Instruction limit reached!
% 181.38/27.86 % (4068884)------------------------------
% 181.38/27.86 % (4068884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 181.38/27.86 % (4068884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 181.38/27.86 % (4068884)CaDiCaL version: 2.1.3
% 181.38/27.86 % (4068884)Termination reason: Instruction limit
% 181.38/27.86 % (4068884)Termination phase: Saturation
% 181.38/27.86 % (4068884)Time elapsed: 1.552 s
% 181.38/27.86 % (4068884)Peak memory usage: 55 MB
% 181.38/27.86 % (4068884)Instructions burned: 4594 (million)
% 181.38/27.86 % (4068890)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=3107419252:i=5497:nm=2_2928 on theBenchmark for (2928ds/5497Mi)
% 181.38/27.86 % Exception at run slice level
% 181.38/27.86 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 181.38/27.86 % (4068892)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=2408825499:fmbsr=2:i=46332_2928 on theBenchmark for (2928ds/46332Mi)
% 181.38/27.86 % (4068878)Instruction limit reached!
% 181.38/27.86 % (4068878)------------------------------
% 181.38/27.86 % (4068878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 181.38/27.86 % (4068878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 181.38/27.86 % (4068878)CaDiCaL version: 2.1.3
% 181.38/27.86 % (4068878)Termination reason: Instruction limit
% 181.38/27.86 % (4068878)Termination phase: Property scanning
% 181.38/27.86 % (4068878)Time elapsed: 2.774 s
% 181.38/27.86 % (4068878)Peak memory usage: 49 MB
% 181.38/27.86 % (4068878)Instructions burned: 3773 (million)
% 181.38/27.86 % (4068894)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=3411992770:i=14071_2924 on theBenchmark for (2924ds/14071Mi)
% 181.38/27.86 % Exception at run slice level
% 181.38/27.86 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 181.38/27.86 % (4068896)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1771379444:i=22565:add=on:rawr=on_2917 on theBenchmark for (2917ds/22565Mi)
% 181.38/27.86 % (4068888)Instruction limit reached!
% 181.38/27.86 % (4068888)------------------------------
% 181.38/27.86 % (4068888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 181.38/27.86 % (4068888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 181.38/27.86 % (4068888)CaDiCaL version: 2.1.3
% 181.38/27.86 % (4068888)Termination reason: Instruction limit
% 181.38/27.86 % (4068888)Termination phase: Saturation
% 181.38/27.86 % (4068888)Time elapsed: 2.412 s
% 181.38/27.86 % (4068888)Peak memory usage: 62 MB
% 181.38/27.86 % (4068888)Instructions burned: 5213 (million)
% 181.38/27.86 % (4068898)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=3830858740:i=8173:av=off_2914 on theBenchmark for (2914ds/8173Mi)
% 181.38/27.86 % Exception at run slice level
% 181.38/27.86 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 181.38/27.86 % (4068900)dis+10_16:1_sil=16000:random_seed=469435593:i=9155:fsr=off_2909 on theBenchmark for (2909ds/9155Mi)
% 181.38/27.86 % Exception at run slice level
% 181.38/27.86 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 181.38/27.86 % (4068902)ott-3_8_sil=64000:random_seed=3638827667:i=20139:bs=on_2895 on theBenchmark for (2895ds/20139Mi)
% 181.38/27.86 % (4068898)Instruction limit reached!
% 181.38/27.86 % (4068898)------------------------------
% 181.38/27.86 % (4068898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 181.38/27.86 % (4068898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 181.38/27.86 % (4068898)CaDiCaL version: 2.1.3
% 181.38/27.86 % (4068898)Termination reason: Instruction limit
% 181.38/27.86 % (4068898)Termination phase: Saturation
% 181.38/27.86 % (4068898)Time elapsed: 3.838 s
% 181.38/27.86 % (4068898)Peak memory usage: 92 MB
% 181.38/27.86 % (4068898)Instructions burned: 8173 (million)
% 181.38/27.86 % (4068904)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=3294575469:fmbsr=2:i=32576_2876 on theBenchmark for (2876ds/32576Mi)
% 181.38/27.86 % (4068900)Instruction limit reached!
% 181.38/27.86 % (4068900)------------------------------
% 181.38/27.86 % (4068900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 181.38/27.86 % (4068900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 181.38/27.86 % (4068900)CaDiCaL version: 2.1.3
% 181.38/27.86 % (4068900)Termination reason: Instruction limit
% 181.38/27.86 % (4068900)Termination phase: Saturation
% 181.38/27.86 % (4068900)Time elapsed: 4.172 s
% 181.38/27.86 % (4068900)Peak memory usage: 80 MB
% 181.38/27.86 % (4068900)Instructions burned: 9157 (million)
% 181.38/27.86 % (4068906)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=1836680603:i=11404_2867 on theBenchmark for (2867ds/11404Mi)
% 181.38/27.86 % Exception at run slice level
% 181.38/27.86 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 181.38/27.86 % (4068908)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=47148070:i=14134_2858 on theBenchmark for (2858ds/14134Mi)
% 181.38/27.86 % (4068908)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 181.38/27.86 % (4068896)Instruction limit reached!
% 181.38/27.86 % (4068896)------------------------------
% 181.38/27.86 % (4068896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 181.38/27.86 % (4068896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 181.38/27.86 % (4068896)CaDiCaL version: 2.1.3
% 181.38/27.86 % (4068896)Termination reason: Instruction limit
% 181.38/27.86 % (4068896)Termination phase: Saturation
% 181.38/27.86 % (4068896)Time elapsed: 8.062 s
% 181.38/27.86 % (4068896)Peak memory usage: 229 MB
% 181.38/27.86 % (4068896)Instructions burned: 22570 (million)
% 181.38/27.86 % (4068910)dis+33_16_sil=32000:sac=on:random_seed=2575846639:i=15851:nm=0_2836 on theBenchmark for (2836ds/15851Mi)
% 181.38/27.86 % (4068906)Instruction limit reached!
% 181.38/27.86 % (4068906)------------------------------
% 181.38/27.86 % (4068906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 181.38/27.86 % (4068906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 181.38/27.86 % (4068906)CaDiCaL version: 2.1.3
% 181.38/27.86 % (4068906)Termination reason: Instruction limit
% 181.38/27.86 % (4068906)Termination phase: Saturation
% 181.38/27.86 % (4068906)Time elapsed: 5.607 s
% 181.38/27.86 % (4068906)Peak memory usage: 105 MB
% 181.38/27.86 % (4068906)Instructions burned: 11405 (million)
% 181.38/27.86 % (4068912)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=3235079714:avsq=on:i=17627:add=on:amm=off_2811 on theBenchmark for (2811ds/17627Mi)
% 181.38/27.86 % (4068886)Instruction limit reached!
% 181.38/27.86 % (4068886)------------------------------
% 181.38/27.86 % (4068886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 181.38/27.86 % (4068886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 181.38/27.86 % (4068886)CaDiCaL version: 2.1.3
% 181.38/27.86 % (4068886)Termination reason: Instruction limit
% 181.38/27.86 % (4068886)Termination phase: Saturation
% 181.38/27.86 % (4068886)Time elapsed: 13.397 s
% 181.38/27.86 % (4068886)Peak memory usage: 365 MB
% 181.38/27.86 % (4068886)Instructions burned: 29341 (million)
% 181.38/27.86 % (4068914)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=2039027857:s2a=on:i=53295_2809 on theBenchmark for (2809ds/53295Mi)
% 181.38/27.86 % (4068910)Instruction limit reached!
% 181.38/27.86 % (4068910)------------------------------
% 181.38/27.86 % (4068910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 181.38/27.86 % (4068910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 181.38/27.86 % (4068910)CaDiCaL version: 2.1.3
% 181.38/27.86 % (4068910)Termination reason: Instruction limit
% 181.38/27.86 % (4068910)Termination phase: Property scanning
% 181.38/27.86 % (4068910)Time elapsed: 4.162 s
% 181.38/27.86 % (4068910)Peak memory usage: 276 MB
% 181.38/27.86 % (4068910)Instructions burned: 15856 (million)
% 181.38/27.86 % (4068917)fmb+10_1_sil=32000:sas=cadical:fmbss=16:random_seed=1641136719:i=26857:ins=20_2794 on theBenchmark for (2794ds/26857Mi)
% 181.38/27.86 % (4068908)Instruction limit reached!
% 181.38/27.86 % (4068908)------------------------------
% 181.38/27.86 % (4068908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 181.38/27.86 % (4068908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 181.38/27.86 % (4068908)CaDiCaL version: 2.1.3
% 181.38/27.86 % (4068908)Termination reason: Instruction limit
% 181.38/27.86 % (4068908)Termination phase: Saturation
% 181.38/27.86 % (4068908)Time elapsed: 6.862 s
% 181.38/27.86 % (4068908)Peak memory usage: 112 MB
% 181.38/27.86 % (4068908)Instructions burned: 14135 (million)
% 181.38/27.86 % (4068920)ott+10_1_sil=64000:plsq=on:plsqc=4:bsr=unit_only:gs=on:random_seed=4232910717:i=28120:bs=on:fsr=off_2789 on theBenchmark for (2789ds/28120Mi)
% 181.38/27.86 % Exception at run slice level
% 181.38/27.86 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 181.38/27.86 % (4068922)fmb+10_1_sil=256000:fmbss=7:random_seed=2354527696:fmbsr=1.6:i=182295_2783 on theBenchmark for (2783ds/182295Mi)
% 181.38/27.86 % Exception at run slice level
% 181.38/27.86 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 181.38/27.86 % (4068924)fmb+10_1_sil=128000:fmbss=21:newcnf=on:random_seed=3483312045:i=44625:gsp=on_2771 on theBenchmark for (2771ds/44625Mi)
% 181.38/27.86 % (4068924)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 181.38/27.86 % (4068924)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 181.38/27.86 % Exception at run slice level
% 181.38/27.86 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 181.38/27.86 % (4068926)fmb+10_1_sil=256000:sas=cadical:fmbss=15:random_seed=381632022:i=160505_2759 on theBenchmark for (2759ds/160505Mi)
% 181.38/27.86 % Exception at run slice level
% 181.38/27.86 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 181.38/27.86 % (4068928)fmb+10_1_sil=256000:tgt=full:fmbss=10:random_seed=173803677:fmbsr=1.3:i=225729_2749 on theBenchmark for (2749ds/225729Mi)
% 181.38/27.86 % Exception at run slice level
% 181.38/27.86 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 181.38/27.86 % (4068930)fmb+10_1_sil=256000:tgt=full:sas=cadical:fmbss=10:random_seed=2967613792:fmbsr=2:i=185024:ins=7_2734 on theBenchmark for (2734ds/185024Mi)
% 181.38/27.86 % (4068902)Instruction limit reached!
% 181.38/27.86 % (4068902)------------------------------
% 181.38/27.86 % (4068902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 181.38/27.86 % (4068902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 181.38/27.86 % (4068902)CaDiCaL version: 2.1.3
% 181.38/27.86 % (4068902)Termination reason: Instruction limit
% 181.38/27.86 % (4068902)Termination phase: Saturation
% 181.38/27.86 % (4068902)Time elapsed: 16.530 s
% 181.38/27.86 % (4068902)Peak memory usage: 111 MB
% 181.38/27.86 % (4068902)Instructions burned: 20140 (million)
% 181.38/27.86 % (4068932)fmb+10_1_sas=cadical:si=on:bce=on:rp=on:random_seed=1688290373:rtra=on_2730 on theBenchmark for (2730ds/0Mi)
% 181.38/27.86 % (4068914) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4068816-4068914"...
% 181.38/27.86 % (4068914)...printing done.
% 181.38/27.86 % (4068914)Refutation found. Thanks to Tanya!
% 181.38/27.86 % SZS status Theorem for theBenchmark
% 181.38/27.86 % SZS output start Proof for theBenchmark
% 181.38/27.86 thf(type_def_5, type, vEBT_VEBT: $tType).
% 181.38/27.86 thf(type_def_6, type, code_integer: $tType).
% 181.38/27.86 thf(type_def_7, type, product_unit: $tType).
% 181.38/27.86 thf(type_def_8, type, product_prod: ($tType * $tType) > $tType).
% 181.38/27.86 thf(type_def_9, type, extended_enat: $tType).
% 181.38/27.86 thf(type_def_10, type, complex: $tType).
% 181.38/27.86 thf(type_def_11, type, option: $tType > $tType).
% 181.38/27.86 thf(type_def_12, type, filter: $tType > $tType).
% 181.38/27.86 thf(type_def_13, type, char: $tType).
% 181.38/27.86 thf(type_def_14, type, real: $tType).
% 181.38/27.86 thf(type_def_15, type, list: $tType > $tType).
% 181.38/27.86 thf(type_def_16, type, set: $tType > $tType).
% 181.38/27.86 thf(type_def_17, type, rat: $tType).
% 181.38/27.86 thf(type_def_18, type, num: $tType).
% 181.38/27.86 thf(type_def_19, type, nat: $tType).
% 181.38/27.86 thf(type_def_20, type, int: $tType).
% 181.38/27.86 thf(type_def_21, type, sTfun: ($tType * $tType) > $tType).
% 181.38/27.86 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_1, type, size: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_2, type, dvd: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_3, type, one: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_4, type, idom: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_5, type, ring: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_6, type, plus: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_7, type, zero: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_8, type, numeral: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_9, type, power: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_10, type, field: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_11, type, ring_gcd: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_12, type, abs_if: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_13, type, ring_1: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_14, type, uminus: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_15, type, ord: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_16, type, inverse: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_17, type, semiring: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_18, type, ring_char_0: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_19, type, neg_numeral: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_20, type, order: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_21, type, comm_ring: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_22, type, mult_zero: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_23, type, semiring_Gcd: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_24, type, semiring_gcd: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_25, type, group_add: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_26, type, lattice: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_27, type, no_bot: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_28, type, no_top: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_29, type, semiring_0: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_30, type, semiring_1: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_31, type, monoid_add: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_32, type, comm_ring_1: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_33, type, idom_divide: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_34, type, idom_modulo: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_35, type, ln: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_36, type, monoid_mult: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_37, type, linorder: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_38, type, preorder: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_39, type, ring_parity: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_40, type, idom_abs_sgn: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_41, type, ordered_ring: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_42, type, zero_neq_one: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_43, type, field_char_0: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_44, type, ab_group_add: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_45, type, semiring_char_0: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_46, type, order_bot: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_47, type, order_top: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_48, type, wellorder: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_49, type, comm_semiring: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_50, type, zero_less_one: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_51, type, division_ring: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_52, type, field_abs_sgn: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_53, type, semigroup_add: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_54, type, semiring_numeral: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_55, type, semidom_divide: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_56, type, semidom_modulo: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_57, type, semigroup_mult: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_58, type, dense_order: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_59, type, comm_semiring_0: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_60, type, comm_semiring_1: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_61, type, linordered_idom: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_62, type, linordered_ring: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_63, type, semiring_modulo: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_64, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_65, type, semiring_parity: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_66, type, ordered_ring_abs: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_67, type, ordered_semiring: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_68, type, linordered_field: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_69, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_70, type, comm_monoid_diff: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_71, type, comm_monoid_mult: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_72, type, algebraic_semidom: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_73, type, semiring_1_cancel: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_74, type, ab_semigroup_mult: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_75, type, bounded_lattice: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_76, type, distrib_lattice: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_77, type, semilattice_inf: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_78, type, semilattice_sup: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_79, type, dense_linorder: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_80, type, linordered_semidom: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_81, type, ordered_semiring_0: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_82, type, real_Vector_banach: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_83, type, linordered_semiring: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_84, type, comple9053668089753744459l_ccpo: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_85, type, finite8700451911770168679attice: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_86, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_87, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_88, type, linord6961819062388156250ring_1: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_89, type, ordere2520102378445227354miring: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_90, type, topological_t2_space: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_91, type, topological_t3_space: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_92, type, topological_t4_space: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_93, type, bit_semiring_bits: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_94, type, topolo1633459387980952147up_add: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_95, type, comm_s4317794764714335236cancel: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_96, type, linord4710134922213307826strict: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_97, type, cancel1802427076303600483id_add: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_98, type, topolo6943815403480290642id_add: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_99, type, real_V7773925162809079976_field: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_100, type, ring_15535105094025558882visors: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_101, type, cancel2418104881723323429up_add: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_102, type, linord5086331880401160121up_add: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_103, type, ordere6911136660526730532id_add: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_104, type, topolo1898628316856586783d_mult: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_105, type, real_V4867850818363320053vector: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_106, type, archim2362893244070406136eiling: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_107, type, semiri6843258321239162965malize: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_108, type, ordere166539214618696060dd_abs: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_109, type, ordere6658533253407199908up_add: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_110, type, topolo1287966508704411220up_add: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_111, type, real_V7819770556892013058_space: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_112, type, semiri3467727345109120633visors: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_113, type, boolea8198339166811842893lgebra: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_114, type, linord8928482502909563296strict: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_115, type, topolo7287701948861334536_space: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_116, type, euclid5891614535332579305n_ring: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_117, type, topolo4211221413907600880p_mult: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_118, type, real_V8037385150606011577_space: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_119, type, real_V2191834092415804123ebra_1: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_120, type, linord181362715937106298miring: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_121, type, semiri2026040879449505780visors: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_122, type, topolo2564578578187576103pology: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_123, type, bit_ri3973907225187159222ations: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_124, type, comple6319245703460814977attice: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_125, type, linord4140545234300271783up_add: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_126, type, topolo5987344860129210374id_add: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_127, type, unboun7993243217541854897norder: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_128, type, real_V768167426530841204y_dist: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_129, type, linord715952674999750819strict: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_130, type, archim462609752435547400_field: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_131, type, comple5582772986160207858norder: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_132, type, topolo4987421752381908075d_mult: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_133, type, real_V5047593784448816457lgebra: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_134, type, bounde4346867609351753570nf_top: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_135, type, bounde4967611905675639751up_bot: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_136, type, real_V3459762299906320749_field: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_137, type, topolo1944317154257567458pology: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_138, type, topolo4958980785337419405_space: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_139, type, euclid3725896446679973847miring: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_140, type, canoni5634975068530333245id_add: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_141, type, ordere8940638589300402666id_add: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_142, type, strict7427464778891057005id_add: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_143, type, real_V822414075346904944vector: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_144, type, linord2810124833399127020strict: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_145, type, bit_se359711467146920520ations: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_146, type, ordere2412721322843649153imp_le: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_147, type, ordere580206878836729694up_add: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_148, type, ordere1170586879665033532d_diff: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_149, type, strict9044650504122735259up_add: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_150, type, real_V5355595471888546746vector: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_151, type, real_V4412858255891104859lgebra: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_152, type, semiri6575147826004484403cancel: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_153, type, euclid8851590272496341667cancel: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_154, type, real_V2822296259951069270ebra_1: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_155, type, unique1627219031080169319umeral: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_156, type, comple592849572758109894attice: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_157, type, real_V8999393235501362500lgebra: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_158, type, topolo3112930676232923870pology: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_159, type, euclid4440199948858584721cancel: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_160, type, euclid3128863361964157862miring: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_161, type, topolo8458572112393995274pology: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_162, type, ordere1937475149494474687imp_le: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_163, type, condit5016429287641298734tinuum: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_164, type, euclid8789492081693882211th_nat: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_165, type, euclid5411537665997757685th_nat: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_166, type, counta3822494911875563373attice: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_167, type, semiri1453513574482234551roduct: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_168, type, bit_un5681908812861735899ations: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_169, type, condit1219197933456340205attice: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_170, type, counta4013691401010221786attice: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_171, type, condit6923001295902523014norder: !>[X0: $tType]:($o)).
% 181.38/27.86 thf(func_def_172, type, archimedean_ceiling: !>[X0: $tType]:((X0 > int))).
% 181.38/27.86 thf(func_def_173, type, archim6421214686448440834_floor: !>[X0: $tType]:((X0 > int))).
% 181.38/27.86 thf(func_def_174, type, archimedean_frac: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_175, type, archimedean_round: !>[X0: $tType]:((X0 > int))).
% 181.38/27.86 thf(func_def_176, type, bNF_Gr: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > set @ product_prod @ X0 @ X1))).
% 181.38/27.86 thf(func_def_177, type, bNF_Greatest_image2: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > X1) > (X0 > X2) > set @ product_prod @ X1 @ X2))).
% 181.38/27.86 thf(func_def_178, type, bNF_Gr4221423524335903396lImage: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X1) > set @ product_prod @ X1 @ X1))).
% 181.38/27.86 thf(func_def_179, type, bNF_Gr7122648621184425601vImage: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ product_prod @ X1 @ X1 > (X0 > X1) > set @ product_prod @ X0 @ X0))).
% 181.38/27.86 thf(func_def_180, type, bNF_Wellorder_Func: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > set @ (X0 > X1)))).
% 181.38/27.86 thf(func_def_181, type, bNF_We4925052301507509544nc_map: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((set @ X0 > (X1 > X2) > (X0 > X3) > (X3 > X1) > X0 > X2))).
% 181.38/27.86 thf(func_def_182, type, basic_BNF_size_prod: !>[X0: $tType, X1: $tType]:(((X0 > nat) > (X1 > nat) > product_prod @ X0 @ X1 > nat))).
% 181.38/27.86 thf(func_def_183, type, binomial: (nat > nat > nat)).
% 181.38/27.86 thf(func_def_184, type, gbinomial: !>[X0: $tType]:((X0 > nat > X0))).
% 181.38/27.86 thf(func_def_185, type, bit_and_int_rel: (product_prod @ int @ int > product_prod @ int @ int > $o)).
% 181.38/27.86 thf(func_def_186, type, bit_and_not_num: (num > num > option @ num)).
% 181.38/27.86 thf(func_def_187, type, bit_and_not_num_rel: (product_prod @ num @ num > product_prod @ num @ num > $o)).
% 181.38/27.86 thf(func_def_188, type, bit_concat_bit: (nat > int > int > int)).
% 181.38/27.86 thf(func_def_189, type, bit_or_not_num_neg: (num > num > num)).
% 181.38/27.86 thf(func_def_190, type, bit_or3848514188828904588eg_rel: (product_prod @ num @ num > product_prod @ num @ num > $o)).
% 181.38/27.86 thf(func_def_191, type, bit_ri4277139882892585799ns_not: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_192, type, bit_ri4674362597316999326ke_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 181.38/27.86 thf(func_def_193, type, bit_se5824344872417868541ns_and: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_194, type, bit_se4197421643247451524op_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 181.38/27.86 thf(func_def_195, type, bit_se8732182000553998342ip_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 181.38/27.86 thf(func_def_196, type, bit_se2239418461657761734s_mask: !>[X0: $tType]:((nat > X0))).
% 181.38/27.86 thf(func_def_197, type, bit_se1065995026697491101ons_or: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_198, type, bit_se4730199178511100633sh_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 181.38/27.86 thf(func_def_199, type, bit_se5668285175392031749et_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 181.38/27.86 thf(func_def_200, type, bit_se2584673776208193580ke_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 181.38/27.86 thf(func_def_201, type, bit_se2638667681897837118et_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 181.38/27.86 thf(func_def_202, type, bit_se5824344971392196577ns_xor: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_203, type, bit_se5641148757651400278ts_bit: !>[X0: $tType]:((X0 > nat > $o))).
% 181.38/27.86 thf(func_def_204, type, bit_take_bit_num: (nat > num > option @ num)).
% 181.38/27.86 thf(func_def_205, type, bit_un1837492267222099188nd_num: (num > num > option @ num)).
% 181.38/27.86 thf(func_def_206, type, bit_un5425074673868309765um_rel: (product_prod @ num @ num > product_prod @ num @ num > $o)).
% 181.38/27.86 thf(func_def_207, type, bit_un6178654185764691216or_num: (num > num > option @ num)).
% 181.38/27.86 thf(func_def_208, type, bit_un3595099601533988841um_rel: (product_prod @ num @ num > product_prod @ num @ num > $o)).
% 181.38/27.86 thf(func_def_209, type, bit_un7362597486090784418nd_num: (num > num > option @ num)).
% 181.38/27.86 thf(func_def_210, type, bit_un4731106466462545111um_rel: (product_prod @ num @ num > product_prod @ num @ num > $o)).
% 181.38/27.86 thf(func_def_211, type, bit_un2480387367778600638or_num: (num > num > option @ num)).
% 181.38/27.86 thf(func_def_212, type, bit_un2901131394128224187um_rel: (product_prod @ num @ num > product_prod @ num @ num > $o)).
% 181.38/27.86 thf(func_def_213, type, boolea2506097494486148201lgebra: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > (X0 > X0) > X0 > X0 > $o))).
% 181.38/27.86 thf(func_def_214, type, boolea3799213064322606851m_diff: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > (X0 > X0) > X0 > X0 > (X0 > X0 > X0) > $o))).
% 181.38/27.86 thf(func_def_215, type, code_bit_cut_integer: (code_integer > product_prod @ code_integer @ $o)).
% 181.38/27.86 thf(func_def_216, type, code_divmod_abs: (code_integer > code_integer > product_prod @ code_integer @ code_integer)).
% 181.38/27.86 thf(func_def_217, type, code_divmod_integer: (code_integer > code_integer > product_prod @ code_integer @ code_integer)).
% 181.38/27.86 thf(func_def_218, type, code_int_of_integer: (code_integer > int)).
% 181.38/27.86 thf(func_def_219, type, code_integer_of_int: (int > code_integer)).
% 181.38/27.86 thf(func_def_220, type, code_integer_of_num: (num > code_integer)).
% 181.38/27.86 thf(func_def_221, type, code_nat_of_integer: (code_integer > nat)).
% 181.38/27.86 thf(func_def_222, type, code_num_of_integer: (code_integer > num)).
% 181.38/27.86 thf(func_def_223, type, complete_Inf_Inf: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.86 thf(func_def_224, type, complete_Sup_Sup: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.86 thf(func_def_225, type, comple1602240252501008431_chain: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 181.38/27.86 thf(func_def_226, type, arg: (complex > real)).
% 181.38/27.86 thf(func_def_227, type, cis: (real > complex)).
% 181.38/27.86 thf(func_def_228, type, cnj: (complex > complex)).
% 181.38/27.86 thf(func_def_229, type, complex2: (real > real > complex)).
% 181.38/27.86 thf(func_def_230, type, im: (complex > real)).
% 181.38/27.86 thf(func_def_231, type, re: (complex > real)).
% 181.38/27.86 thf(func_def_232, type, csqrt: (complex > complex)).
% 181.38/27.86 thf(func_def_233, type, imaginary_unit: complex).
% 181.38/27.86 thf(func_def_234, type, rcis: (real > real > complex)).
% 181.38/27.86 thf(func_def_235, type, countable_countable: !>[X0: $tType]:((set @ X0 > $o))).
% 181.38/27.86 thf(func_def_236, type, differentiable: !>[X0: $tType, X1: $tType]:(((X0 > X1) > filter @ X0 > $o))).
% 181.38/27.86 thf(func_def_237, type, has_derivative: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > filter @ X0 > $o))).
% 181.38/27.86 thf(func_def_238, type, has_field_derivative: !>[X0: $tType]:(((X0 > X0) > X0 > filter @ X0 > $o))).
% 181.38/27.86 thf(func_def_239, type, adjust_div: (product_prod @ int @ int > int)).
% 181.38/27.86 thf(func_def_240, type, adjust_mod: (int > int > int)).
% 181.38/27.86 thf(func_def_241, type, divmod_nat: (nat > nat > product_prod @ nat @ nat)).
% 181.38/27.86 thf(func_def_242, type, eucl_rel_int: (int > int > product_prod @ int @ int > $o)).
% 181.38/27.86 thf(func_def_243, type, unique5940410009612947441es_aux: !>[X0: $tType]:((product_prod @ X0 @ X0 > $o))).
% 181.38/27.86 thf(func_def_244, type, unique8689654367752047608divmod: !>[X0: $tType]:((num > num > product_prod @ X0 @ X0))).
% 181.38/27.86 thf(func_def_245, type, unique1321980374590559556d_step: !>[X0: $tType]:((num > product_prod @ X0 @ X0 > product_prod @ X0 @ X0))).
% 181.38/27.86 thf(func_def_246, type, comm_s3205402744901411588hammer: !>[X0: $tType]:((X0 > nat > X0))).
% 181.38/27.86 thf(func_def_247, type, semiring_char_0_fact: !>[X0: $tType]:((nat > X0))).
% 181.38/27.86 thf(func_def_248, type, inverse_inverse: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_249, type, at_bot: !>[X0: $tType]:(filter @ X0)).
% 181.38/27.86 thf(func_def_250, type, at_top: !>[X0: $tType]:(filter @ X0)).
% 181.38/27.86 thf(func_def_251, type, eventually: !>[X0: $tType]:(((X0 > $o) > filter @ X0 > $o))).
% 181.38/27.86 thf(func_def_252, type, filterlim: !>[X0: $tType, X1: $tType]:(((X0 > X1) > filter @ X1 > filter @ X0 > $o))).
% 181.38/27.86 thf(func_def_253, type, finite5375528669736107172at_top: !>[X0: $tType]:((set @ X0 > filter @ set @ X0))).
% 181.38/27.86 thf(func_def_254, type, map_filter_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > filter @ X0 > filter @ X1))).
% 181.38/27.86 thf(func_def_255, type, principal: !>[X0: $tType]:((set @ X0 > filter @ X0))).
% 181.38/27.86 thf(func_def_256, type, finite_Fpow: !>[X0: $tType]:((set @ X0 > set @ set @ X0))).
% 181.38/27.86 thf(func_def_257, type, finite_card: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.86 thf(func_def_258, type, finite4664212375090638736ute_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1 > X1) > $o))).
% 181.38/27.86 thf(func_def_259, type, finite673082921795544331dem_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1 > X1) > $o))).
% 181.38/27.86 thf(func_def_260, type, finite_finite: !>[X0: $tType]:((set @ X0 > $o))).
% 181.38/27.86 thf(func_def_261, type, finite_fold: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > X1 > set @ X0 > X1))).
% 181.38/27.86 thf(func_def_262, type, finite_fold_graph: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > X1 > set @ X0 > X1 > $o))).
% 181.38/27.86 thf(func_def_263, type, finite1890593828518410140dem_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1 > X1) > $o))).
% 181.38/27.86 thf(func_def_264, type, finite_folding_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1 > X1) > $o))).
% 181.38/27.86 thf(func_def_265, type, finite_folding_F: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > X1 > set @ X0 > X1))).
% 181.38/27.86 thf(func_def_266, type, bij_betw: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1 > $o))).
% 181.38/27.86 thf(func_def_267, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > X2 > X1))).
% 181.38/27.86 thf(func_def_268, type, fun_upd: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > X1 > X0 > X1))).
% 181.38/27.86 thf(func_def_269, type, id: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_270, type, inj_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > $o))).
% 181.38/27.86 thf(func_def_271, type, map_fun: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > (X1 > X2) > X0 > X3))).
% 181.38/27.86 thf(func_def_272, type, strict_mono_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > $o))).
% 181.38/27.86 thf(func_def_273, type, the_inv_into: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X1 > X0))).
% 181.38/27.86 thf(func_def_274, type, gcd_Gcd: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.86 thf(func_def_275, type, bezw: (nat > nat > product_prod @ int @ int)).
% 181.38/27.86 thf(func_def_276, type, bezw_rel: (product_prod @ nat @ nat > product_prod @ nat @ nat > $o)).
% 181.38/27.86 thf(func_def_277, type, gcd_gcd: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_278, type, gcd_nat_rel: (product_prod @ nat @ nat > product_prod @ nat @ nat > $o)).
% 181.38/27.86 thf(func_def_279, type, abs_abs: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_280, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_281, type, one_one: !>[X0: $tType]:(X0)).
% 181.38/27.86 thf(func_def_282, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_283, type, sgn_sgn: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_284, type, times_times: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_285, type, uminus_uminus: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_286, type, zero_zero: !>[X0: $tType]:(X0)).
% 181.38/27.86 thf(func_def_287, type, groups7311177749621191930dd_sum: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 181.38/27.86 thf(func_def_288, type, groups1027152243600224163dd_sum: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 181.38/27.86 thf(func_def_289, type, groups7121269368397514597t_prod: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 181.38/27.86 thf(func_def_290, type, groups1962203154675924110t_prod: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 181.38/27.86 thf(func_def_291, type, groups4207007520872428315er_sum: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1 > list @ X0 > X1))).
% 181.38/27.86 thf(func_def_292, type, groups8242544230860333062m_list: !>[X0: $tType]:((list @ X0 > X0))).
% 181.38/27.86 thf(func_def_293, type, groups5270119922927024881d_list: !>[X0: $tType]:((list @ X0 > X0))).
% 181.38/27.86 thf(func_def_294, type, nO_MATCH: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o))).
% 181.38/27.86 thf(func_def_295, type, the: !>[X0: $tType]:(((X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_296, type, undefined: !>[X0: $tType]:(X0)).
% 181.38/27.86 thf(func_def_297, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_298, type, abs_Integ: (product_prod @ nat @ nat > int)).
% 181.38/27.86 thf(func_def_299, type, rep_Integ: (int > product_prod @ nat @ nat)).
% 181.38/27.86 thf(func_def_300, type, int_ge_less_than: (int > set @ product_prod @ int @ int)).
% 181.38/27.86 thf(func_def_301, type, int_ge_less_than2: (int > set @ product_prod @ int @ int)).
% 181.38/27.86 thf(func_def_302, type, nat2: (int > nat)).
% 181.38/27.86 thf(func_def_303, type, ring_1_Ints: !>[X0: $tType]:(set @ X0)).
% 181.38/27.86 thf(func_def_304, type, ring_1_of_int: !>[X0: $tType]:((int > X0))).
% 181.38/27.86 thf(func_def_305, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_306, type, semila1105856199041335345_order: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > (X0 > X0 > $o) > (X0 > X0 > $o) > $o))).
% 181.38/27.86 thf(func_def_307, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_308, type, lattices_Max: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0))).
% 181.38/27.86 thf(func_def_309, type, lattices_Min: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0))).
% 181.38/27.86 thf(func_def_310, type, lattic643756798349783984er_Max: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.86 thf(func_def_311, type, lattic643756798350308766er_Min: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.86 thf(func_def_312, type, lattic7623131987881927897min_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 181.38/27.86 thf(func_def_313, type, lattic7752659483105999362nf_fin: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.86 thf(func_def_314, type, lattic5882676163264333800up_fin: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.86 thf(func_def_315, type, bfun: !>[X0: $tType, X1: $tType]:(((X0 > X1) > filter @ X0 > $o))).
% 181.38/27.86 thf(func_def_316, type, at_infinity: !>[X0: $tType]:(filter @ X0)).
% 181.38/27.86 thf(func_def_317, type, bleast: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_318, type, abort_Bleast: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_319, type, append: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.86 thf(func_def_320, type, arg_min_list: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > X0))).
% 181.38/27.86 thf(func_def_321, type, arg_min_list_rel: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > product_prod @ (X0 > X1) @ list @ X0 > $o))).
% 181.38/27.86 thf(func_def_322, type, bind: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > list @ X1) > list @ X1))).
% 181.38/27.86 thf(func_def_323, type, butlast: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 181.38/27.86 thf(func_def_324, type, concat: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 181.38/27.86 thf(func_def_325, type, coset: !>[X0: $tType]:((list @ X0 > set @ X0))).
% 181.38/27.86 thf(func_def_326, type, count_list: !>[X0: $tType]:((list @ X0 > X0 > nat))).
% 181.38/27.86 thf(func_def_327, type, distinct: !>[X0: $tType]:((list @ X0 > $o))).
% 181.38/27.86 thf(func_def_328, type, drop: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 181.38/27.86 thf(func_def_329, type, dropWhile: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 181.38/27.86 thf(func_def_330, type, enumerate: !>[X0: $tType]:((nat > list @ X0 > list @ product_prod @ nat @ X0))).
% 181.38/27.86 thf(func_def_331, type, extract: !>[X0: $tType]:(((X0 > $o) > list @ X0 > option @ product_prod @ list @ X0 @ product_prod @ X0 @ list @ X0))).
% 181.38/27.86 thf(func_def_332, type, filter2: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 181.38/27.86 thf(func_def_333, type, find: !>[X0: $tType]:(((X0 > $o) > list @ X0 > option @ X0))).
% 181.38/27.86 thf(func_def_334, type, fold: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > list @ X0 > X1 > X1))).
% 181.38/27.86 thf(func_def_335, type, folding_insort_key: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > set @ X1 > (X1 > X0) > $o))).
% 181.38/27.86 thf(func_def_336, type, foldr: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > list @ X0 > X1 > X1))).
% 181.38/27.86 thf(func_def_337, type, lenlex: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 181.38/27.86 thf(func_def_338, type, lex: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 181.38/27.86 thf(func_def_339, type, lexn: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > set @ product_prod @ list @ X0 @ list @ X0))).
% 181.38/27.86 thf(func_def_340, type, lexord: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 181.38/27.86 thf(func_def_341, type, lexordp: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 181.38/27.86 thf(func_def_342, type, insort_key: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > X1 > list @ X1 > list @ X1))).
% 181.38/27.86 thf(func_def_343, type, sorted8670434370408473282of_set: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > set @ X1 > list @ X1))).
% 181.38/27.86 thf(func_def_344, type, linorder_insort_key: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > list @ X0 > list @ X0))).
% 181.38/27.86 thf(func_def_345, type, linorder_sort_key: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X0))).
% 181.38/27.86 thf(func_def_346, type, linord144544945434240204of_set: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > list @ X0))).
% 181.38/27.86 thf(func_def_347, type, linord4507533701916653071of_set: !>[X0: $tType]:((set @ X0 > list @ X0))).
% 181.38/27.86 thf(func_def_348, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 181.38/27.86 thf(func_def_349, type, nil: !>[X0: $tType]:(list @ X0)).
% 181.38/27.86 thf(func_def_350, type, case_list: !>[X0: $tType, X1: $tType]:((X0 > (X1 > list @ X1 > X0) > list @ X1 > X0))).
% 181.38/27.86 thf(func_def_351, type, hd: !>[X0: $tType]:((list @ X0 > X0))).
% 181.38/27.86 thf(func_def_352, type, list_all2: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > $o))).
% 181.38/27.86 thf(func_def_353, type, map: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1))).
% 181.38/27.86 thf(func_def_354, type, set2: !>[X0: $tType]:((list @ X0 > set @ X0))).
% 181.38/27.86 thf(func_def_355, type, size_list: !>[X0: $tType]:(((X0 > nat) > list @ X0 > nat))).
% 181.38/27.86 thf(func_def_356, type, tl: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 181.38/27.86 thf(func_def_357, type, list_update: !>[X0: $tType]:((list @ X0 > nat > X0 > list @ X0))).
% 181.38/27.86 thf(func_def_358, type, listrel: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ list @ X0 @ list @ X1))).
% 181.38/27.86 thf(func_def_359, type, listrel1: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 181.38/27.86 thf(func_def_360, type, listrel1p: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 181.38/27.86 thf(func_def_361, type, listrelp: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > $o))).
% 181.38/27.86 thf(func_def_362, type, lists: !>[X0: $tType]:((set @ X0 > set @ list @ X0))).
% 181.38/27.86 thf(func_def_363, type, listset: !>[X0: $tType]:((list @ set @ X0 > set @ list @ X0))).
% 181.38/27.86 thf(func_def_364, type, map_filter: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > list @ X0 > list @ X1))).
% 181.38/27.86 thf(func_def_365, type, min_list: !>[X0: $tType]:((list @ X0 > X0))).
% 181.38/27.86 thf(func_def_366, type, min_list_rel: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 181.38/27.86 thf(func_def_367, type, n_lists: !>[X0: $tType]:((nat > list @ X0 > list @ list @ X0))).
% 181.38/27.86 thf(func_def_368, type, nth: !>[X0: $tType]:((list @ X0 > nat > X0))).
% 181.38/27.86 thf(func_def_369, type, nths: !>[X0: $tType]:((list @ X0 > set @ nat > list @ X0))).
% 181.38/27.86 thf(func_def_370, type, partition: !>[X0: $tType]:(((X0 > $o) > list @ X0 > product_prod @ list @ X0 @ list @ X0))).
% 181.38/27.86 thf(func_def_371, type, product: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > list @ product_prod @ X0 @ X1))).
% 181.38/27.86 thf(func_def_372, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 181.38/27.86 thf(func_def_373, type, remdups: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 181.38/27.86 thf(func_def_374, type, remdups_adj: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 181.38/27.86 thf(func_def_375, type, remdups_adj_rel: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 181.38/27.86 thf(func_def_376, type, remove1: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 181.38/27.86 thf(func_def_377, type, removeAll: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 181.38/27.86 thf(func_def_378, type, replicate: !>[X0: $tType]:((nat > X0 > list @ X0))).
% 181.38/27.86 thf(func_def_379, type, rev: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 181.38/27.86 thf(func_def_380, type, rotate: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 181.38/27.86 thf(func_def_381, type, rotate1: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 181.38/27.86 thf(func_def_382, type, set_Cons: !>[X0: $tType]:((set @ X0 > set @ list @ X0 > set @ list @ X0))).
% 181.38/27.86 thf(func_def_383, type, shuffles: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ list @ X0))).
% 181.38/27.86 thf(func_def_384, type, shuffles_rel: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > product_prod @ list @ X0 @ list @ X0 > $o))).
% 181.38/27.86 thf(func_def_385, type, sorted_wrt: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o))).
% 181.38/27.86 thf(func_def_386, type, sorted_wrt_rel: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > product_prod @ (X0 > X0 > $o) @ list @ X0 > $o))).
% 181.38/27.86 thf(func_def_387, type, splice: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.86 thf(func_def_388, type, splice_rel: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > product_prod @ list @ X0 @ list @ X0 > $o))).
% 181.38/27.86 thf(func_def_389, type, subseqs: !>[X0: $tType]:((list @ X0 > list @ list @ X0))).
% 181.38/27.86 thf(func_def_390, type, take: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 181.38/27.86 thf(func_def_391, type, takeWhile: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 181.38/27.86 thf(func_def_392, type, transpose: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 181.38/27.86 thf(func_def_393, type, transpose_rel: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > $o))).
% 181.38/27.86 thf(func_def_394, type, union: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.86 thf(func_def_395, type, upt: (nat > nat > list @ nat)).
% 181.38/27.86 thf(func_def_396, type, upto: (int > int > list @ int)).
% 181.38/27.86 thf(func_def_397, type, upto_aux: (int > int > list @ int > list @ int)).
% 181.38/27.86 thf(func_def_398, type, upto_rel: (product_prod @ int @ int > product_prod @ int @ int > $o)).
% 181.38/27.86 thf(func_def_399, type, zip: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > list @ product_prod @ X0 @ X1))).
% 181.38/27.86 thf(func_def_400, type, dom: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ X0))).
% 181.38/27.86 thf(func_def_401, type, graph: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ product_prod @ X0 @ X1))).
% 181.38/27.86 thf(func_def_402, type, map_of: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X0 @ X1 > X0 > option @ X1))).
% 181.38/27.86 thf(func_def_403, type, map_upds: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > list @ X0 > list @ X1 > X0 > option @ X1))).
% 181.38/27.86 thf(func_def_404, type, ran: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ X1))).
% 181.38/27.86 thf(func_def_405, type, restrict_map: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ X0 > X0 > option @ X1))).
% 181.38/27.86 thf(func_def_406, type, suc: (nat > nat)).
% 181.38/27.86 thf(func_def_407, type, compow: !>[X0: $tType]:((nat > X0 > X0))).
% 181.38/27.86 thf(func_def_408, type, funpow: !>[X0: $tType]:((nat > (X0 > X0) > X0 > X0))).
% 181.38/27.86 thf(func_def_409, type, case_nat: !>[X0: $tType]:((X0 > (nat > X0) > nat > X0))).
% 181.38/27.86 thf(func_def_410, type, pred: (nat > nat)).
% 181.38/27.86 thf(func_def_411, type, rec_nat: !>[X0: $tType]:((X0 > (nat > X0 > X0) > nat > X0))).
% 181.38/27.86 thf(func_def_412, type, rec_set_nat: !>[X0: $tType]:((X0 > (nat > X0 > X0) > nat > X0 > $o))).
% 181.38/27.86 thf(func_def_413, type, semiring_1_Nats: !>[X0: $tType]:(set @ X0)).
% 181.38/27.86 thf(func_def_414, type, semiring_1_of_nat: !>[X0: $tType]:((nat > X0))).
% 181.38/27.86 thf(func_def_415, type, semiri8178284476397505188at_aux: !>[X0: $tType]:(((X0 > X0) > nat > X0 > X0))).
% 181.38/27.86 thf(func_def_416, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 181.38/27.86 thf(func_def_417, type, nat_list_encode: (list @ nat > nat)).
% 181.38/27.86 thf(func_def_418, type, nat_list_encode_rel: (list @ nat > list @ nat > $o)).
% 181.38/27.86 thf(func_def_419, type, nat_prod_decode_aux: (nat > nat > product_prod @ nat @ nat)).
% 181.38/27.86 thf(func_def_420, type, nat_pr5047031295181774490ux_rel: (product_prod @ nat @ nat > product_prod @ nat @ nat > $o)).
% 181.38/27.86 thf(func_def_421, type, nat_prod_encode: (product_prod @ nat @ nat > nat)).
% 181.38/27.86 thf(func_def_422, type, nat_set_decode: (nat > set @ nat)).
% 181.38/27.86 thf(func_def_423, type, nat_set_encode: (set @ nat > nat)).
% 181.38/27.86 thf(func_def_424, type, nat_triangle: (nat > nat)).
% 181.38/27.86 thf(func_def_425, type, root: (nat > real > real)).
% 181.38/27.86 thf(func_def_426, type, sqrt: (real > real)).
% 181.38/27.86 thf(func_def_427, type, bitM: (num > num)).
% 181.38/27.86 thf(func_def_428, type, inc: (num > num)).
% 181.38/27.86 thf(func_def_429, type, neg_numeral_dbl: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_430, type, neg_numeral_dbl_dec: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_431, type, neg_numeral_dbl_inc: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_432, type, neg_numeral_sub: !>[X0: $tType]:((num > num > X0))).
% 181.38/27.86 thf(func_def_433, type, bit0: (num > num)).
% 181.38/27.86 thf(func_def_434, type, bit1: (num > num)).
% 181.38/27.86 thf(func_def_435, type, one2: num).
% 181.38/27.86 thf(func_def_436, type, case_num: !>[X0: $tType]:((X0 > (num > X0) > (num > X0) > num > X0))).
% 181.38/27.86 thf(func_def_437, type, size_num: (num > nat)).
% 181.38/27.86 thf(func_def_438, type, num_of_nat: (nat > num)).
% 181.38/27.86 thf(func_def_439, type, numeral_numeral: !>[X0: $tType]:((num > X0))).
% 181.38/27.86 thf(func_def_440, type, pow: (num > num > num)).
% 181.38/27.86 thf(func_def_441, type, pred_numeral: (num > nat)).
% 181.38/27.86 thf(func_def_442, type, ring_1_iszero: !>[X0: $tType]:((X0 > $o))).
% 181.38/27.86 thf(func_def_443, type, sqr: (num > num)).
% 181.38/27.86 thf(func_def_444, type, none: !>[X0: $tType]:(option @ X0)).
% 181.38/27.86 thf(func_def_445, type, some: !>[X0: $tType]:((X0 > option @ X0))).
% 181.38/27.86 thf(func_def_446, type, case_option: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > option @ X1 > X0))).
% 181.38/27.86 thf(func_def_447, type, map_option: !>[X0: $tType, X1: $tType]:(((X0 > X1) > option @ X0 > option @ X1))).
% 181.38/27.86 thf(func_def_448, type, size_option: !>[X0: $tType]:(((X0 > nat) > option @ X0 > nat))).
% 181.38/27.86 thf(func_def_449, type, the2: !>[X0: $tType]:((option @ X0 > X0))).
% 181.38/27.86 thf(func_def_450, type, these: !>[X0: $tType]:((set @ option @ X0 > set @ X0))).
% 181.38/27.86 thf(func_def_451, type, bot_bot: !>[X0: $tType]:(X0)).
% 181.38/27.86 thf(func_def_452, type, max: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_453, type, min: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_454, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 181.38/27.86 thf(func_def_455, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 181.38/27.86 thf(func_def_456, type, ord_max: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_457, type, ord_min: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_458, type, order_Greatest: !>[X0: $tType]:(((X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_459, type, order_antimono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 181.38/27.86 thf(func_def_460, type, order_mono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 181.38/27.86 thf(func_def_461, type, order_strict_mono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 181.38/27.86 thf(func_def_462, type, top_top: !>[X0: $tType]:(X0)).
% 181.38/27.86 thf(func_def_463, type, power2: !>[X0: $tType]:((X0 > (X0 > X0 > X0) > X0 > nat > X0))).
% 181.38/27.86 thf(func_def_464, type, power_power: !>[X0: $tType]:((X0 > nat > X0))).
% 181.38/27.86 thf(func_def_465, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 181.38/27.86 thf(func_def_466, type, product_Sigma: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > set @ product_prod @ X0 @ X1))).
% 181.38/27.86 thf(func_def_467, type, product_apsnd: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > product_prod @ X2 @ X0 > product_prod @ X2 @ X1))).
% 181.38/27.86 thf(func_def_468, type, product_case_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 181.38/27.86 thf(func_def_469, type, product_fst: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 181.38/27.86 thf(func_def_470, type, product_snd: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 181.38/27.86 thf(func_def_471, type, product_product: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > set @ product_prod @ X0 @ X1))).
% 181.38/27.86 thf(func_def_472, type, fract: (int > int > rat)).
% 181.38/27.86 thf(func_def_473, type, rep_Rat: (rat > product_prod @ int @ int)).
% 181.38/27.86 thf(func_def_474, type, field_char_0_Rats: !>[X0: $tType]:(set @ X0)).
% 181.38/27.86 thf(func_def_475, type, field_char_0_of_rat: !>[X0: $tType]:((rat > X0))).
% 181.38/27.86 thf(func_def_476, type, normalize: (product_prod @ int @ int > product_prod @ int @ int)).
% 181.38/27.86 thf(func_def_477, type, positive: (rat > $o)).
% 181.38/27.86 thf(func_def_478, type, real_Vector_Reals: !>[X0: $tType]:(set @ X0)).
% 181.38/27.86 thf(func_def_479, type, real_V3181309239436604168linear: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 181.38/27.86 thf(func_def_480, type, real_V4916620083959148203axioms: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 181.38/27.86 thf(func_def_481, type, real_V557655796197034286t_dist: !>[X0: $tType]:((X0 > X0 > real))).
% 181.38/27.86 thf(func_def_482, type, real_V7770717601297561774m_norm: !>[X0: $tType]:((X0 > real))).
% 181.38/27.86 thf(func_def_483, type, real_Vector_of_real: !>[X0: $tType]:((real > X0))).
% 181.38/27.86 thf(func_def_484, type, real_V8093663219630862766scaleR: !>[X0: $tType]:((real > X0 > X0))).
% 181.38/27.86 thf(func_def_485, type, id2: !>[X0: $tType]:(set @ product_prod @ X0 @ X0)).
% 181.38/27.86 thf(func_def_486, type, id_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0))).
% 181.38/27.86 thf(func_def_487, type, irrefl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 181.38/27.86 thf(func_def_488, type, refl_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 181.38/27.86 thf(func_def_489, type, relcomp: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ X1 @ X2 > set @ product_prod @ X0 @ X2))).
% 181.38/27.86 thf(func_def_490, type, divide_divide: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_491, type, dvd_dvd: !>[X0: $tType]:((X0 > X0 > $o))).
% 181.38/27.86 thf(func_def_492, type, modulo_modulo: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_493, type, zero_neq_one_of_bool: !>[X0: $tType]:(($o > X0))).
% 181.38/27.86 thf(func_def_494, type, suminf: !>[X0: $tType]:(((nat > X0) > X0))).
% 181.38/27.86 thf(func_def_495, type, summable: !>[X0: $tType]:(((nat > X0) > $o))).
% 181.38/27.86 thf(func_def_496, type, sums: !>[X0: $tType]:(((nat > X0) > X0 > $o))).
% 181.38/27.86 thf(func_def_497, type, ball: !>[X0: $tType]:((set @ X0 > (X0 > $o) > $o))).
% 181.38/27.86 thf(func_def_498, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 181.38/27.86 thf(func_def_499, type, pow2: !>[X0: $tType]:((set @ X0 > set @ set @ X0))).
% 181.38/27.86 thf(func_def_500, type, image: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1))).
% 181.38/27.86 thf(func_def_501, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 181.38/27.86 thf(func_def_502, type, remove: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 181.38/27.86 thf(func_def_503, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.86 thf(func_def_504, type, set_fo6178422350223883121st_nat: !>[X0: $tType]:(((nat > X0 > X0) > nat > nat > X0 > X0))).
% 181.38/27.86 thf(func_def_505, type, set_fo1817059534552279752at_rel: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > $o))).
% 181.38/27.86 thf(func_def_506, type, set_ord_atLeast: !>[X0: $tType]:((X0 > set @ X0))).
% 181.38/27.86 thf(func_def_507, type, set_or1337092689740270186AtMost: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 181.38/27.86 thf(func_def_508, type, set_or7035219750837199246ssThan: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 181.38/27.86 thf(func_def_509, type, set_ord_atMost: !>[X0: $tType]:((X0 > set @ X0))).
% 181.38/27.86 thf(func_def_510, type, set_ord_greaterThan: !>[X0: $tType]:((X0 > set @ X0))).
% 181.38/27.86 thf(func_def_511, type, set_or3652927894154168847AtMost: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 181.38/27.86 thf(func_def_512, type, set_or5935395276787703475ssThan: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 181.38/27.86 thf(func_def_513, type, set_ord_lessThan: !>[X0: $tType]:((X0 > set @ X0))).
% 181.38/27.86 thf(func_def_514, type, ascii_of: (char > char)).
% 181.38/27.86 thf(func_def_515, type, char2: ($o > $o > $o > $o > $o > $o > $o > $o > char)).
% 181.38/27.86 thf(func_def_516, type, comm_s6883823935334413003f_char: !>[X0: $tType]:((char > X0))).
% 181.38/27.86 thf(func_def_517, type, integer_of_char: (char > code_integer)).
% 181.38/27.86 thf(func_def_518, type, unique5772411509450598832har_of: !>[X0: $tType]:((X0 > char))).
% 181.38/27.86 thf(func_def_519, type, topolo3448309680560233919inuous: !>[X0: $tType, X1: $tType]:((filter @ X0 > (X0 > X1) > $o))).
% 181.38/27.86 thf(func_def_520, type, topolo81223032696312382ous_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > $o))).
% 181.38/27.86 thf(func_def_521, type, topological_monoseq: !>[X0: $tType]:(((nat > X0) > $o))).
% 181.38/27.86 thf(func_def_522, type, topolo1002775350975398744n_open: !>[X0: $tType]:((set @ X0 > $o))).
% 181.38/27.86 thf(func_def_523, type, topolo3827282254853284352ce_Lim: !>[X0: $tType, X1: $tType]:((filter @ X0 > (X0 > X1) > X1))).
% 181.38/27.86 thf(func_def_524, type, topolo174197925503356063within: !>[X0: $tType]:((X0 > set @ X0 > filter @ X0))).
% 181.38/27.86 thf(func_def_525, type, topolo7761053866217962861closed: !>[X0: $tType]:((set @ X0 > $o))).
% 181.38/27.86 thf(func_def_526, type, topolo2193935891317330818ompact: !>[X0: $tType]:((set @ X0 > $o))).
% 181.38/27.86 thf(func_def_527, type, topolo7230453075368039082e_nhds: !>[X0: $tType]:((X0 > filter @ X0))).
% 181.38/27.86 thf(func_def_528, type, topolo3814608138187158403Cauchy: !>[X0: $tType]:(((nat > X0) > $o))).
% 181.38/27.86 thf(func_def_529, type, topolo6773858410816713723filter: !>[X0: $tType]:((filter @ X0 > $o))).
% 181.38/27.86 thf(func_def_530, type, topolo2479028161051973599mplete: !>[X0: $tType]:((set @ X0 > $o))).
% 181.38/27.86 thf(func_def_531, type, topolo6688025880775521714ounded: !>[X0: $tType]:((set @ X0 > $o))).
% 181.38/27.86 thf(func_def_532, type, topolo7806501430040627800ormity: !>[X0: $tType]:(filter @ product_prod @ X0 @ X0)).
% 181.38/27.86 thf(func_def_533, type, arccos: (real > real)).
% 181.38/27.86 thf(func_def_534, type, arcosh: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_535, type, arcsin: (real > real)).
% 181.38/27.86 thf(func_def_536, type, arctan: (real > real)).
% 181.38/27.86 thf(func_def_537, type, arsinh: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_538, type, artanh: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_539, type, cos: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_540, type, cos_coeff: (nat > real)).
% 181.38/27.86 thf(func_def_541, type, cosh: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_542, type, cot: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_543, type, diffs: !>[X0: $tType]:(((nat > X0) > nat > X0))).
% 181.38/27.86 thf(func_def_544, type, exp: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_545, type, ln_ln: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_546, type, log: (real > real > real)).
% 181.38/27.86 thf(func_def_547, type, pi: real).
% 181.38/27.86 thf(func_def_548, type, powr: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_549, type, sin: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_550, type, sin_coeff: (nat > real)).
% 181.38/27.86 thf(func_def_551, type, sinh: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_552, type, tan: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_553, type, tanh: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_554, type, transitive_ntrancl: !>[X0: $tType]:((nat > set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 181.38/27.86 thf(func_def_555, type, transitive_rtrancl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 181.38/27.86 thf(func_def_556, type, transitive_trancl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 181.38/27.86 thf(func_def_557, type, vEBT_Leaf: ($o > $o > vEBT_VEBT)).
% 181.38/27.86 thf(func_def_558, type, vEBT_Node: (option @ product_prod @ nat @ nat > nat > list @ vEBT_VEBT > vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.86 thf(func_def_559, type, vEBT_case_VEBT: !>[X0: $tType]:(((option @ product_prod @ nat @ nat > nat > list @ vEBT_VEBT > vEBT_VEBT > X0) > ($o > $o > X0) > vEBT_VEBT > X0))).
% 181.38/27.86 thf(func_def_560, type, vEBT_size_VEBT: (vEBT_VEBT > nat)).
% 181.38/27.86 thf(func_def_561, type, vEBT_V8194947554948674370ptions: (vEBT_VEBT > nat > $o)).
% 181.38/27.86 thf(func_def_562, type, vEBT_VEBT_high: (nat > nat > nat)).
% 181.38/27.86 thf(func_def_563, type, vEBT_V5917875025757280293ildren: (nat > list @ vEBT_VEBT > nat > $o)).
% 181.38/27.86 thf(func_def_564, type, vEBT_VEBT_low: (nat > nat > nat)).
% 181.38/27.86 thf(func_def_565, type, vEBT_VEBT_membermima: (vEBT_VEBT > nat > $o)).
% 181.38/27.86 thf(func_def_566, type, vEBT_V4351362008482014158ma_rel: (product_prod @ vEBT_VEBT @ nat > product_prod @ vEBT_VEBT @ nat > $o)).
% 181.38/27.86 thf(func_def_567, type, vEBT_V5719532721284313246member: (vEBT_VEBT > nat > $o)).
% 181.38/27.86 thf(func_def_568, type, vEBT_V5765760719290551771er_rel: (product_prod @ vEBT_VEBT @ nat > product_prod @ vEBT_VEBT @ nat > $o)).
% 181.38/27.86 thf(func_def_569, type, vEBT_VEBT_valid: (vEBT_VEBT > nat > $o)).
% 181.38/27.86 thf(func_def_570, type, vEBT_VEBT_valid_rel: (product_prod @ vEBT_VEBT @ nat > product_prod @ vEBT_VEBT @ nat > $o)).
% 181.38/27.86 thf(func_def_571, type, vEBT_invar_vebt: (vEBT_VEBT > nat > $o)).
% 181.38/27.86 thf(func_def_572, type, vEBT_set_vebt: (vEBT_VEBT > set @ nat)).
% 181.38/27.86 thf(func_def_573, type, vEBT_vebt_buildup: (nat > vEBT_VEBT)).
% 181.38/27.86 thf(func_def_574, type, vEBT_v4011308405150292612up_rel: (nat > nat > $o)).
% 181.38/27.86 thf(func_def_575, type, accp: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > $o))).
% 181.38/27.86 thf(func_def_576, type, finite_psubset: !>[X0: $tType]:(set @ product_prod @ set @ X0 @ set @ X0)).
% 181.38/27.86 thf(func_def_577, type, max_ext: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ set @ X0 @ set @ X0))).
% 181.38/27.86 thf(func_def_578, type, measure: !>[X0: $tType]:(((X0 > nat) > set @ product_prod @ X0 @ X0))).
% 181.38/27.86 thf(func_def_579, type, min_ext: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ set @ X0 @ set @ X0))).
% 181.38/27.86 thf(func_def_580, type, mlex_prod: !>[X0: $tType]:(((X0 > nat) > set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 181.38/27.86 thf(func_def_581, type, pred_nat: set @ product_prod @ nat @ nat).
% 181.38/27.86 thf(func_def_582, type, fChoice: !>[X0: $tType]:(((X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_583, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 181.38/27.86 thf(func_def_584, type, deg: nat).
% 181.38/27.86 thf(func_def_585, type, info: option @ product_prod @ nat @ nat).
% 181.38/27.86 thf(func_def_586, type, m: nat).
% 181.38/27.86 thf(func_def_587, type, ma: nat).
% 181.38/27.86 thf(func_def_588, type, mi: nat).
% 181.38/27.86 thf(func_def_589, type, n: nat).
% 181.38/27.86 thf(func_def_590, type, na: nat).
% 181.38/27.86 thf(func_def_591, type, summary: vEBT_VEBT).
% 181.38/27.86 thf(func_def_592, type, treeList: list @ vEBT_VEBT).
% 181.38/27.86 thf(func_def_593, type, x: nat).
% 181.38/27.86 thf(func_def_595, type, vNOT: ($o > $o)).
% 181.38/27.86 thf(func_def_596, type, vOR: ($o > $o > $o)).
% 181.38/27.86 thf(func_def_597, type, db1: !>[X0: $tType]:(X0)).
% 181.38/27.86 thf(func_def_598, type, db0: !>[X0: $tType]:(X0)).
% 181.38/27.86 thf(func_def_599, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 181.38/27.86 thf(func_def_602, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 181.38/27.86 thf(func_def_603, type, vAND: ($o > $o > $o)).
% 181.38/27.86 thf(func_def_604, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 181.38/27.86 thf(func_def_605, type, db2: !>[X0: $tType]:(X0)).
% 181.38/27.86 thf(func_def_606, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 181.38/27.86 thf(func_def_607, type, vIMP: ($o > $o > $o)).
% 181.38/27.86 thf(func_def_608, type, db3: !>[X0: $tType]:(X0)).
% 181.38/27.86 thf(func_def_609, type, db4: !>[X0: $tType]:(X0)).
% 181.38/27.86 thf(func_def_610, type, db5: !>[X0: $tType]:(X0)).
% 181.38/27.86 thf(func_def_611, type, db6: !>[X0: $tType]:(X0)).
% 181.38/27.86 thf(func_def_612, type, db8: !>[X0: $tType]:(X0)).
% 181.38/27.86 thf(func_def_613, type, db7: !>[X0: $tType]:(X0)).
% 181.38/27.86 thf(func_def_614, type, db9: !>[X0: $tType]:(X0)).
% 181.38/27.86 thf(func_def_615, type, sP0: (nat > list @ vEBT_VEBT > nat > nat > nat > $o)).
% 181.38/27.86 thf(func_def_616, type, sP1: (nat > nat > list @ vEBT_VEBT > $o)).
% 181.38/27.86 thf(func_def_617, type, sP2: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 181.38/27.86 thf(func_def_618, type, sP3: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 181.38/27.86 thf(func_def_619, type, sP4: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 181.38/27.86 thf(func_def_620, type, sP5: (nat > list @ vEBT_VEBT > nat > nat > nat > $o)).
% 181.38/27.86 thf(func_def_621, type, sP6: (nat > nat > list @ vEBT_VEBT > $o)).
% 181.38/27.86 thf(func_def_622, type, sP7: (nat > list @ vEBT_VEBT > nat > nat > nat > $o)).
% 181.38/27.86 thf(func_def_623, type, sP8: (nat > list @ vEBT_VEBT > nat > nat > nat > $o)).
% 181.38/27.86 thf(func_def_624, type, sP9: (vEBT_VEBT > nat > $o)).
% 181.38/27.86 thf(func_def_625, type, sP10: (vEBT_VEBT > nat > $o)).
% 181.38/27.86 thf(func_def_626, type, sP11: (vEBT_VEBT > nat > $o)).
% 181.38/27.86 thf(func_def_627, type, sP12: (vEBT_VEBT > nat > $o)).
% 181.38/27.86 thf(func_def_628, type, sP13: !>[X0: $tType, X1: $tType]:(((option @ X1 > option @ X0 > $o) > option @ X1 > option @ X0 > $o))).
% 181.38/27.86 thf(func_def_629, type, sP14: (int > (int > $o) > $o)).
% 181.38/27.86 thf(func_def_630, type, sP15: ((int > $o) > $o)).
% 181.38/27.86 thf(func_def_631, type, sP16: (real > real > (real > real > $o) > $o)).
% 181.38/27.86 thf(func_def_632, type, sP17: (nat > nat > (nat > int) > $o)).
% 181.38/27.86 thf(func_def_633, type, sP18: (product_prod @ int @ int > int > int > $o)).
% 181.38/27.86 thf(func_def_634, type, sP19: (vEBT_VEBT > nat > $o)).
% 181.38/27.86 thf(func_def_635, type, sP20: (vEBT_VEBT > nat > $o)).
% 181.38/27.86 thf(func_def_636, type, sP21: (vEBT_VEBT > $o > $o)).
% 181.38/27.86 thf(func_def_637, type, sP22: (vEBT_VEBT > $o > $o)).
% 181.38/27.86 thf(func_def_638, type, sP23: (vEBT_VEBT > nat > $o)).
% 181.38/27.86 thf(func_def_639, type, sP24: (vEBT_VEBT > nat > $o)).
% 181.38/27.86 thf(func_def_640, type, sP25: (vEBT_VEBT > nat > $o)).
% 181.38/27.86 thf(func_def_641, type, sP26: (nat > vEBT_VEBT > $o)).
% 181.38/27.86 thf(func_def_642, type, sP27: (vEBT_VEBT > $o > nat > $o)).
% 181.38/27.86 thf(func_def_643, type, sP28: (vEBT_VEBT > $o > nat > $o)).
% 181.38/27.86 thf(func_def_644, type, sP29: (vEBT_VEBT > $o > nat > $o)).
% 181.38/27.86 thf(func_def_645, type, sP30: (vEBT_VEBT > $o > nat > $o)).
% 181.38/27.86 thf(func_def_646, type, sP31: (vEBT_VEBT > nat > $o)).
% 181.38/27.86 thf(func_def_647, type, sP32: (vEBT_VEBT > nat > $o)).
% 181.38/27.86 thf(func_def_648, type, sP33: (vEBT_VEBT > nat > $o)).
% 181.38/27.86 thf(func_def_649, type, sP34: (vEBT_VEBT > nat > $o)).
% 181.38/27.86 thf(func_def_650, type, sP35: (vEBT_VEBT > nat > $o)).
% 181.38/27.86 thf(func_def_651, type, sP36: (vEBT_VEBT > nat > $o)).
% 181.38/27.86 thf(func_def_652, type, sP37: (vEBT_VEBT > nat > $o)).
% 181.38/27.86 thf(func_def_653, type, sP38: (vEBT_VEBT > $o > nat > $o)).
% 181.38/27.86 thf(func_def_654, type, sP39: (vEBT_VEBT > $o > nat > $o)).
% 181.38/27.86 thf(func_def_655, type, sP40: (nat > vEBT_VEBT > $o)).
% 181.38/27.86 thf(func_def_656, type, sP41: (nat > vEBT_VEBT > $o)).
% 181.38/27.86 thf(func_def_657, type, sP42: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > $o) > $o))).
% 181.38/27.86 thf(func_def_658, type, sP43: !>[X0: $tType]:((nat > (nat > X0) > $o))).
% 181.38/27.86 thf(func_def_659, type, sP44: (nat > (nat > nat) > $o)).
% 181.38/27.86 thf(func_def_660, type, sP45: (num > num > num > $o)).
% 181.38/27.86 thf(func_def_661, type, sP46: (num > num > num > $o)).
% 181.38/27.86 thf(func_def_662, type, sP47: (num > num > num > $o)).
% 181.38/27.86 thf(func_def_663, type, sP48: (num > num > num > $o)).
% 181.38/27.86 thf(func_def_664, type, sP49: (num > num > num > $o)).
% 181.38/27.86 thf(func_def_665, type, sP50: (num > num > num > $o)).
% 181.38/27.86 thf(func_def_666, type, sP51: (num > num > num > $o)).
% 181.38/27.86 thf(func_def_667, type, sP52: (num > num > num > $o)).
% 181.38/27.86 thf(func_def_668, type, sP53: (num > num > num > $o)).
% 181.38/27.86 thf(func_def_669, type, sP54: (num > num > num > $o)).
% 181.38/27.86 thf(func_def_670, type, sP55: (num > num > num > $o)).
% 181.38/27.86 thf(func_def_671, type, sP56: (num > num > num > $o)).
% 181.38/27.86 thf(func_def_672, type, sP57: (num > num > num > $o)).
% 181.38/27.86 thf(func_def_673, type, sP58: (num > num > num > $o)).
% 181.38/27.86 thf(func_def_674, type, sP59: (num > num > num > $o)).
% 181.38/27.86 thf(func_def_675, type, sP60: (num > num > num > $o)).
% 181.38/27.86 thf(func_def_676, type, sP61: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X0 > X1) > (X1 > X0) > $o))).
% 181.38/27.86 thf(func_def_677, type, sP62: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > set @ X0 > set @ X0 > $o))).
% 181.38/27.86 thf(func_def_678, type, sP63: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X0 > X1) > (X1 > X0) > $o))).
% 181.38/27.86 thf(func_def_679, type, sP64: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > set @ X0 > set @ X0 > $o))).
% 181.38/27.86 thf(func_def_680, type, sP65: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > (X0 > X1 > $o) > $o))).
% 181.38/27.86 thf(func_def_681, type, sP66: !>[X0: $tType]:((set @ X0 > (set @ X0 > $o) > $o))).
% 181.38/27.86 thf(func_def_682, type, sP67: ((int > $o) > int > int > $o)).
% 181.38/27.86 thf(func_def_683, type, sP68: ((int > $o) > int > int > $o)).
% 181.38/27.86 thf(func_def_684, type, sP69: ((int > $o) > int > int > $o)).
% 181.38/27.86 thf(func_def_685, type, sP70: (vEBT_VEBT > nat > $o)).
% 181.38/27.86 thf(func_def_686, type, sP71: (vEBT_VEBT > $o > nat > $o)).
% 181.38/27.86 thf(func_def_687, type, sP72: (vEBT_VEBT > nat > $o)).
% 181.38/27.86 thf(func_def_688, type, sP73: (vEBT_VEBT > nat > $o)).
% 181.38/27.86 thf(func_def_689, type, sP74: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_690, type, sP75: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_691, type, sP76: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_692, type, sP77: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_693, type, sP78: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_694, type, sP79: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_695, type, sP80: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_696, type, sP81: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_697, type, sP82: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_698, type, sP83: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_699, type, sP84: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_700, type, sP85: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_701, type, sP86: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_702, type, sP87: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_703, type, sP88: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_704, type, sP89: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_705, type, sP90: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_706, type, sP91: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_707, type, sP92: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_708, type, sP93: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_709, type, sP94: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_710, type, sP95: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_711, type, sP96: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_712, type, sP97: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_713, type, sP98: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_714, type, sP99: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_715, type, sP100: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_716, type, sP101: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_717, type, sP102: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_718, type, sP103: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_719, type, sP104: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_720, type, sP105: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_721, type, sP106: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_722, type, sP107: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_723, type, sP108: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_724, type, sP109: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_725, type, sP110: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_726, type, sP111: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_727, type, sP112: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_728, type, sP113: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_729, type, sP114: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_730, type, sP115: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_731, type, sP116: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_732, type, sP117: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_733, type, sP118: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_734, type, sP119: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_735, type, sP120: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_736, type, sP121: (num > num > option @ num > $o)).
% 181.38/27.86 thf(func_def_737, type, sP122: (real > real > (real > real) > (real > real) > $o)).
% 181.38/27.86 thf(func_def_738, type, sP123: (nat > real > (nat > real > real) > $o)).
% 181.38/27.86 thf(func_def_739, type, sP124: (nat > real > (nat > real > real) > $o)).
% 181.38/27.86 thf(func_def_740, type, sP125: (nat > real > (nat > real > real) > $o)).
% 181.38/27.86 thf(func_def_741, type, sP126: (nat > real > real > (nat > real > real) > $o)).
% 181.38/27.86 thf(func_def_742, type, sP127: (nat > real > real > (nat > real > real) > $o)).
% 181.38/27.86 thf(func_def_743, type, sP128: ((real > real) > (nat > real > real) > real > real > nat > $o)).
% 181.38/27.86 thf(func_def_744, type, sP129: (real > nat > real > $o)).
% 181.38/27.86 thf(func_def_745, type, sP130: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > $o))).
% 181.38/27.86 thf(func_def_746, type, sP131: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > $o))).
% 181.38/27.86 thf(func_def_747, type, sP132: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > $o))).
% 181.38/27.86 thf(func_def_748, type, sP133: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ list @ X0 > $o))).
% 181.38/27.86 thf(func_def_749, type, sP134: !>[X0: $tType]:((list @ X0 > set @ list @ X0 > list @ X0 > $o))).
% 181.38/27.86 thf(func_def_750, type, sP135: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ list @ X0 > $o))).
% 181.38/27.86 thf(func_def_751, type, sP136: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > $o))).
% 181.38/27.86 thf(func_def_752, type, sP137: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > $o))).
% 181.38/27.86 thf(func_def_753, type, sP138: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > $o))).
% 181.38/27.86 thf(func_def_754, type, sP139: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > $o))).
% 181.38/27.86 thf(func_def_755, type, sP140: !>[X0: $tType, X1: $tType]:((X0 > X0 > (X0 > X1) > $o))).
% 181.38/27.86 thf(func_def_756, type, sP141: !>[X0: $tType, X1: $tType]:((X0 > X0 > (X0 > X1) > $o))).
% 181.38/27.86 thf(func_def_757, type, sP142: (real > real > (real > real) > $o)).
% 181.38/27.86 thf(func_def_758, type, sP143: !>[X0: $tType]:((real > real > (real > X0) > $o))).
% 181.38/27.86 thf(func_def_759, type, sP144: !>[X0: $tType]:((real > real > (real > X0) > $o))).
% 181.38/27.86 thf(func_def_760, type, sP145: (real > real > (real > real) > (real > real) > $o)).
% 181.38/27.86 thf(func_def_761, type, sP146: !>[X0: $tType]:((real > real > (real > X0) > $o))).
% 181.38/27.86 thf(func_def_762, type, sP147: (real > real > (real > real) > $o)).
% 181.38/27.86 thf(func_def_763, type, sP148: (real > real > (real > real) > $o)).
% 181.38/27.86 thf(func_def_764, type, sP149: (real > real > (real > real) > (real > real) > $o)).
% 181.38/27.86 thf(func_def_765, type, sP150: (real > real > (real > real) > (real > real) > $o)).
% 181.38/27.86 thf(func_def_766, type, sP151: ((real > real) > real > (real > real) > real > $o)).
% 181.38/27.86 thf(func_def_767, type, sP152: (real > real > (real > real) > $o)).
% 181.38/27.86 thf(func_def_768, type, sP153: (real > real > (real > real) > $o)).
% 181.38/27.86 thf(func_def_769, type, sP154: (real > real > (real > real) > $o)).
% 181.38/27.86 thf(func_def_770, type, sP155: ((real > real) > real > real > $o)).
% 181.38/27.86 thf(func_def_771, type, sP156: (real > real > (real > real) > (real > real > real) > $o)).
% 181.38/27.86 thf(func_def_772, type, sP157: (real > real > (real > real) > (real > real > real) > $o)).
% 181.38/27.86 thf(func_def_773, type, sP158: (real > real > (real > real) > $o)).
% 181.38/27.86 thf(func_def_774, type, sP159: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 181.38/27.86 thf(func_def_775, type, sP160: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 181.38/27.86 thf(func_def_776, type, sP161: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 181.38/27.86 thf(func_def_777, type, sP162: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > $o))).
% 181.38/27.86 thf(func_def_778, type, sP163: !>[X0: $tType, X1: $tType]:((set @ set @ X1 > (X1 > X0) > $o))).
% 181.38/27.86 thf(func_def_779, type, sP164: !>[X0: $tType]:((list @ X0 > X0 > $o))).
% 181.38/27.86 thf(func_def_780, type, sP165: !>[X0: $tType, X1: $tType]:((list @ X0 > X0 > (X0 > X1) > $o))).
% 181.38/27.86 thf(func_def_781, type, sP166: !>[X0: $tType, X1: $tType]:((list @ X0 > X0 > (X0 > X1) > $o))).
% 181.38/27.86 thf(func_def_782, type, sP167: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > $o))).
% 181.38/27.86 thf(func_def_783, type, sP168: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > $o))).
% 181.38/27.86 thf(func_def_784, type, sP169: !>[X0: $tType]:(((list @ list @ X0 > $o) > $o))).
% 181.38/27.86 thf(func_def_785, type, sP170: !>[X0: $tType]:((list @ X0 > $o > (X0 > X0 > $o) > $o))).
% 181.38/27.86 thf(func_def_786, type, sP171: (list @ nat > nat > $o)).
% 181.38/27.86 thf(func_def_787, type, sK172: (nat > nat)).
% 181.38/27.86 thf(func_def_788, type, sK173: (nat > nat)).
% 181.38/27.86 thf(func_def_789, type, sK174: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 181.38/27.86 thf(func_def_790, type, sK175: (nat > list @ vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.86 thf(func_def_791, type, sK176: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_792, type, sK177: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 181.38/27.86 thf(func_def_793, type, sK178: (nat > nat > nat)).
% 181.38/27.86 thf(func_def_794, type, sK179: (nat > nat > nat)).
% 181.38/27.86 thf(func_def_795, type, sK180: ((extended_enat > $o) > extended_enat)).
% 181.38/27.86 thf(func_def_796, type, sK181: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 181.38/27.86 thf(func_def_797, type, sK182: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 181.38/27.86 thf(func_def_798, type, sK183: ((nat > $o) > nat)).
% 181.38/27.86 thf(func_def_799, type, sK184: ((nat > $o) > nat)).
% 181.38/27.86 thf(func_def_800, type, sK185: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_801, type, sK186: ((nat > $o) > nat)).
% 181.38/27.86 thf(func_def_802, type, sK187: (nat > (nat > $o) > nat)).
% 181.38/27.86 thf(func_def_803, type, sK188: (nat > nat > nat)).
% 181.38/27.86 thf(func_def_804, type, sK189: (nat > nat > nat)).
% 181.38/27.86 thf(func_def_805, type, sK190: ((nat > nat > $o) > nat)).
% 181.38/27.86 thf(func_def_806, type, sK191: ((nat > nat > $o) > nat)).
% 181.38/27.86 thf(func_def_807, type, sK192: ((nat > nat > $o) > nat)).
% 181.38/27.86 thf(func_def_808, type, sK193: ((nat > nat > $o) > nat)).
% 181.38/27.86 thf(func_def_809, type, sK194: ((nat > $o) > nat > nat)).
% 181.38/27.86 thf(func_def_810, type, sK195: ((nat > $o) > nat > nat)).
% 181.38/27.86 thf(func_def_811, type, sK196: (nat > nat)).
% 181.38/27.86 thf(func_def_812, type, sK197: ((nat > $o) > nat)).
% 181.38/27.86 thf(func_def_813, type, sK198: ((nat > $o) > nat > nat)).
% 181.38/27.86 thf(func_def_814, type, sK199: ((nat > nat > $o) > nat)).
% 181.38/27.86 thf(func_def_815, type, sK200: ((nat > nat > $o) > nat)).
% 181.38/27.86 thf(func_def_816, type, sK201: ((nat > nat > $o) > nat)).
% 181.38/27.86 thf(func_def_817, type, sK202: ((nat > nat > $o) > nat)).
% 181.38/27.86 thf(func_def_818, type, sK203: ((nat > nat > $o) > nat)).
% 181.38/27.86 thf(func_def_819, type, sK204: ((nat > nat) > nat)).
% 181.38/27.86 thf(func_def_820, type, sK205: ((nat > nat) > nat)).
% 181.38/27.86 thf(func_def_821, type, sK206: (nat > nat > nat)).
% 181.38/27.86 thf(func_def_822, type, sK207: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.86 thf(func_def_823, type, sK208: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.86 thf(func_def_824, type, sK209: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.86 thf(func_def_825, type, sK210: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.86 thf(func_def_826, type, sK211: ((nat > $o) > nat > nat > nat)).
% 181.38/27.86 thf(func_def_827, type, sK212: ((nat > $o) > nat > nat > nat)).
% 181.38/27.86 thf(func_def_828, type, sK213: (nat > nat > nat)).
% 181.38/27.86 thf(func_def_829, type, sK214: (nat > nat > nat)).
% 181.38/27.86 thf(func_def_830, type, sK215: ((nat > nat) > nat)).
% 181.38/27.86 thf(func_def_831, type, sK216: ((nat > nat) > nat)).
% 181.38/27.86 thf(func_def_832, type, sK217: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 181.38/27.86 thf(func_def_833, type, sK218: !>[X0: $tType]:(((X0 > $o) > list @ X0 > nat))).
% 181.38/27.86 thf(func_def_834, type, sK219: (real > real > nat)).
% 181.38/27.86 thf(func_def_835, type, sK220: (set @ real > real)).
% 181.38/27.86 thf(func_def_836, type, sK221: (real > set @ real > real)).
% 181.38/27.86 thf(func_def_837, type, sK222: (real > set @ real > real)).
% 181.38/27.86 thf(func_def_838, type, sK223: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_839, type, sK224: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_840, type, sK225: !>[X0: $tType]:((nat > list @ X0))).
% 181.38/27.86 thf(func_def_841, type, sK226: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_842, type, sK227: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 181.38/27.86 thf(func_def_843, type, sK228: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 181.38/27.86 thf(func_def_844, type, sK229: (list @ vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.86 thf(func_def_845, type, sK230: (list @ vEBT_VEBT > nat)).
% 181.38/27.86 thf(func_def_846, type, sK231: (vEBT_VEBT > nat)).
% 181.38/27.86 thf(func_def_847, type, sK232: (nat > list @ vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.86 thf(func_def_848, type, sK233: (list @ vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.86 thf(func_def_849, type, sK234: (list @ vEBT_VEBT > nat)).
% 181.38/27.86 thf(func_def_850, type, sK235: (vEBT_VEBT > nat)).
% 181.38/27.86 thf(func_def_851, type, sK236: (nat > list @ vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.86 thf(func_def_852, type, sK237: !>[X0: $tType]:((nat > (X0 > nat) > X0 > (X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_853, type, sK238: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_854, type, sK239: (nat > (nat > $o) > nat)).
% 181.38/27.86 thf(func_def_855, type, sK240: ((nat > $o) > nat)).
% 181.38/27.86 thf(func_def_856, type, sK241: (nat > (nat > $o) > nat)).
% 181.38/27.86 thf(func_def_857, type, sK242: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_858, type, sK243: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_859, type, sK244: !>[X0: $tType]:((nat > (X0 > nat) > (X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_860, type, sK245: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 181.38/27.86 thf(func_def_861, type, sK246: (list @ vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.86 thf(func_def_862, type, sK247: (list @ vEBT_VEBT > nat)).
% 181.38/27.86 thf(func_def_863, type, sK248: (nat > list @ vEBT_VEBT > nat > nat > nat > nat)).
% 181.38/27.86 thf(func_def_864, type, sK249: (nat > list @ vEBT_VEBT > nat > nat > nat > nat)).
% 181.38/27.86 thf(func_def_865, type, sK250: (nat > vEBT_VEBT > list @ vEBT_VEBT > nat)).
% 181.38/27.86 thf(func_def_866, type, sK251: (nat > list @ vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.86 thf(func_def_867, type, sK252: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_868, type, sK253: (nat > nat)).
% 181.38/27.86 thf(func_def_869, type, sK254: (nat > nat)).
% 181.38/27.86 thf(func_def_870, type, sK255: ((nat > $o) > nat)).
% 181.38/27.86 thf(func_def_871, type, sK256: ((nat > nat > $o) > nat)).
% 181.38/27.86 thf(func_def_872, type, sK257: ((nat > nat > $o) > nat)).
% 181.38/27.86 thf(func_def_873, type, sK258: ((nat > nat > $o) > nat)).
% 181.38/27.86 thf(func_def_874, type, sK259: ((nat > nat > $o) > nat)).
% 181.38/27.86 thf(func_def_875, type, sK260: ((nat > $o) > nat)).
% 181.38/27.86 thf(func_def_876, type, sK261: (nat > nat)).
% 181.38/27.86 thf(func_def_877, type, sK262: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 181.38/27.86 thf(func_def_878, type, sK263: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 181.38/27.86 thf(func_def_879, type, sK264: ((nat > $o) > nat)).
% 181.38/27.86 thf(func_def_880, type, sK265: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_881, type, sK266: (nat > nat)).
% 181.38/27.86 thf(func_def_882, type, sK267: (nat > (nat > $o) > nat)).
% 181.38/27.86 thf(func_def_883, type, sK268: (nat > nat > nat)).
% 181.38/27.86 thf(func_def_884, type, sK269: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 181.38/27.86 thf(func_def_885, type, sK270: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 181.38/27.86 thf(func_def_886, type, sK271: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 181.38/27.86 thf(func_def_887, type, sK272: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 181.38/27.86 thf(func_def_888, type, sK273: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 181.38/27.86 thf(func_def_889, type, sK274: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 181.38/27.86 thf(func_def_890, type, sK275: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 181.38/27.86 thf(func_def_891, type, sK276: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 181.38/27.86 thf(func_def_892, type, sK277: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 181.38/27.86 thf(func_def_893, type, sK278: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_894, type, sK279: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_895, type, sK280: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_896, type, sK281: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_897, type, sK282: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 181.38/27.86 thf(func_def_898, type, sK283: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 181.38/27.86 thf(func_def_899, type, sK284: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 181.38/27.86 thf(func_def_900, type, sK285: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 181.38/27.86 thf(func_def_901, type, sK286: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 181.38/27.86 thf(func_def_902, type, sK287: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 181.38/27.86 thf(func_def_903, type, sK288: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 181.38/27.86 thf(func_def_904, type, sK289: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 181.38/27.86 thf(func_def_905, type, sK290: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_906, type, sK291: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_907, type, sK292: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_908, type, sK293: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_909, type, sK294: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_910, type, sK295: !>[X0: $tType]:(((X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_911, type, sK296: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_912, type, sK297: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_913, type, sK298: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_914, type, sK299: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_915, type, sK300: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_916, type, sK301: (nat > (nat > $o) > nat)).
% 181.38/27.86 thf(func_def_917, type, sK302: ((nat > $o) > nat)).
% 181.38/27.86 thf(func_def_918, type, sK303: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 181.38/27.86 thf(func_def_919, type, sK304: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 181.38/27.86 thf(func_def_920, type, sK305: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 181.38/27.86 thf(func_def_921, type, sK306: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 181.38/27.86 thf(func_def_922, type, sK307: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 181.38/27.86 thf(func_def_923, type, sK308: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 181.38/27.86 thf(func_def_924, type, sK309: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 181.38/27.86 thf(func_def_925, type, sK310: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 181.38/27.86 thf(func_def_926, type, sK311: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_927, type, sK312: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_928, type, sK313: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_929, type, sK314: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_930, type, sK315: (list @ vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.86 thf(func_def_931, type, sK316: (list @ vEBT_VEBT > nat)).
% 181.38/27.86 thf(func_def_932, type, sK317: (nat > list @ vEBT_VEBT > nat > nat > nat > nat)).
% 181.38/27.86 thf(func_def_933, type, sK318: (nat > list @ vEBT_VEBT > nat > nat > nat > nat)).
% 181.38/27.86 thf(func_def_934, type, sK319: (nat > vEBT_VEBT > list @ vEBT_VEBT > nat)).
% 181.38/27.86 thf(func_def_935, type, sK320: (nat > list @ vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.86 thf(func_def_936, type, sK321: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 181.38/27.86 thf(func_def_937, type, sK322: (vEBT_VEBT > nat > nat)).
% 181.38/27.86 thf(func_def_938, type, sK323: (vEBT_VEBT > nat > vEBT_VEBT)).
% 181.38/27.86 thf(func_def_939, type, sK324: (vEBT_VEBT > nat > nat)).
% 181.38/27.86 thf(func_def_940, type, sK325: (vEBT_VEBT > nat > nat)).
% 181.38/27.86 thf(func_def_941, type, sK326: (vEBT_VEBT > nat > nat)).
% 181.38/27.86 thf(func_def_942, type, sK327: (vEBT_VEBT > nat > nat)).
% 181.38/27.86 thf(func_def_943, type, sK328: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 181.38/27.86 thf(func_def_944, type, sK329: (vEBT_VEBT > nat > nat)).
% 181.38/27.86 thf(func_def_945, type, sK330: (vEBT_VEBT > nat > vEBT_VEBT)).
% 181.38/27.86 thf(func_def_946, type, sK331: (vEBT_VEBT > nat > nat)).
% 181.38/27.86 thf(func_def_947, type, sK332: (vEBT_VEBT > nat > nat)).
% 181.38/27.86 thf(func_def_948, type, sK333: (vEBT_VEBT > nat > nat)).
% 181.38/27.86 thf(func_def_949, type, sK334: (vEBT_VEBT > nat > nat)).
% 181.38/27.86 thf(func_def_950, type, sK335: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 181.38/27.86 thf(func_def_951, type, sK336: (vEBT_VEBT > nat > nat)).
% 181.38/27.86 thf(func_def_952, type, sK337: (vEBT_VEBT > nat > vEBT_VEBT)).
% 181.38/27.86 thf(func_def_953, type, sK338: (vEBT_VEBT > nat > nat)).
% 181.38/27.86 thf(func_def_954, type, sK339: (vEBT_VEBT > nat > nat)).
% 181.38/27.86 thf(func_def_955, type, sK340: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 181.38/27.86 thf(func_def_956, type, sK341: (vEBT_VEBT > nat > nat)).
% 181.38/27.86 thf(func_def_957, type, sK342: (vEBT_VEBT > nat > vEBT_VEBT)).
% 181.38/27.86 thf(func_def_958, type, sK343: (vEBT_VEBT > nat > nat)).
% 181.38/27.86 thf(func_def_959, type, sK344: (vEBT_VEBT > nat > nat)).
% 181.38/27.86 thf(func_def_960, type, sK345: (vEBT_VEBT > $o)).
% 181.38/27.86 thf(func_def_961, type, sK346: (vEBT_VEBT > $o)).
% 181.38/27.86 thf(func_def_962, type, sK347: ((nat > $o) > nat)).
% 181.38/27.86 thf(func_def_963, type, sK348: (vEBT_VEBT > $o)).
% 181.38/27.86 thf(func_def_964, type, sK349: (vEBT_VEBT > $o)).
% 181.38/27.86 thf(func_def_965, type, sK350: (vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 181.38/27.86 thf(func_def_966, type, sK351: (vEBT_VEBT > nat)).
% 181.38/27.86 thf(func_def_967, type, sK352: (vEBT_VEBT > list @ vEBT_VEBT)).
% 181.38/27.86 thf(func_def_968, type, sK353: (vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.86 thf(func_def_969, type, sK354: (nat > real > real)).
% 181.38/27.86 thf(func_def_970, type, sK355: (real > nat > real)).
% 181.38/27.86 thf(func_def_971, type, sK356: (real > nat > real)).
% 181.38/27.86 thf(func_def_972, type, sK357: (real > real > nat)).
% 181.38/27.86 thf(func_def_973, type, sK358: !>[X0: $tType]:((option @ X0 > X0))).
% 181.38/27.86 thf(func_def_974, type, sK359: !>[X0: $tType, X1: $tType]:(((option @ X1 > option @ X0 > $o) > option @ X1 > option @ X0 > X1))).
% 181.38/27.86 thf(func_def_975, type, sK360: !>[X0: $tType, X1: $tType]:(((option @ X1 > option @ X0 > $o) > option @ X1 > option @ X0 > X0))).
% 181.38/27.86 thf(func_def_976, type, sK361: ((nat > nat > $o) > nat)).
% 181.38/27.86 thf(func_def_977, type, sK362: ((nat > nat > $o) > nat)).
% 181.38/27.86 thf(func_def_978, type, sK363: ((nat > nat > $o) > nat)).
% 181.38/27.86 thf(func_def_979, type, sK364: ((int > $o) > int > int)).
% 181.38/27.86 thf(func_def_980, type, sK365: (int > int > int)).
% 181.38/27.86 thf(func_def_981, type, sK366: ((int > $o) > int > int)).
% 181.38/27.86 thf(func_def_982, type, sK367: (nat > nat > nat > nat)).
% 181.38/27.86 thf(func_def_983, type, sK368: (nat > nat > nat > nat)).
% 181.38/27.86 thf(func_def_984, type, sK369: (nat > nat > nat)).
% 181.38/27.86 thf(func_def_985, type, sK370: (nat > nat > nat)).
% 181.38/27.86 thf(func_def_986, type, sK371: (nat > nat > nat)).
% 181.38/27.86 thf(func_def_987, type, sK372: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_988, type, sK373: (nat > nat > nat)).
% 181.38/27.86 thf(func_def_989, type, sK374: (nat > nat > nat)).
% 181.38/27.86 thf(func_def_990, type, sK375: (nat > nat > nat)).
% 181.38/27.86 thf(func_def_991, type, sK376: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_992, type, sK377: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > nat > X0 > X0))).
% 181.38/27.86 thf(func_def_993, type, sK378: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > nat))).
% 181.38/27.86 thf(func_def_994, type, sK379: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > nat))).
% 181.38/27.86 thf(func_def_995, type, sK380: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > X0))).
% 181.38/27.86 thf(func_def_996, type, sK381: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_997, type, sK382: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_998, type, sK383: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_999, type, sK384: (nat > nat > nat)).
% 181.38/27.86 thf(func_def_1000, type, sK385: !>[X0: $tType]:(((X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_1001, type, sK386: !>[X0: $tType]:(((X0 > $o) > $o))).
% 181.38/27.86 thf(func_def_1002, type, sK387: !>[X0: $tType]:(((X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_1003, type, sK388: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_1004, type, sK389: (product_prod @ vEBT_VEBT @ nat > option @ product_prod @ nat @ nat)).
% 181.38/27.86 thf(func_def_1005, type, sK390: (product_prod @ vEBT_VEBT @ nat > nat)).
% 181.38/27.86 thf(func_def_1006, type, sK391: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 181.38/27.86 thf(func_def_1007, type, sK392: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 181.38/27.86 thf(func_def_1008, type, sK393: (product_prod @ vEBT_VEBT @ nat > nat)).
% 181.38/27.86 thf(func_def_1009, type, sK394: (product_prod @ vEBT_VEBT @ nat > $o)).
% 181.38/27.86 thf(func_def_1010, type, sK395: (product_prod @ vEBT_VEBT @ nat > $o)).
% 181.38/27.86 thf(func_def_1011, type, sK396: (product_prod @ vEBT_VEBT @ nat > nat)).
% 181.38/27.86 thf(func_def_1012, type, sK397: (nat > nat > nat > nat)).
% 181.38/27.86 thf(func_def_1013, type, sK398: (nat > nat > nat > nat)).
% 181.38/27.86 thf(func_def_1014, type, sK399: (nat > nat > nat > nat)).
% 181.38/27.86 thf(func_def_1015, type, sK400: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.86 thf(func_def_1016, type, sK401: (product_prod @ vEBT_VEBT @ nat > option @ product_prod @ nat @ nat)).
% 181.38/27.86 thf(func_def_1017, type, sK402: (product_prod @ vEBT_VEBT @ nat > nat)).
% 181.38/27.86 thf(func_def_1018, type, sK403: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 181.38/27.86 thf(func_def_1019, type, sK404: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 181.38/27.86 thf(func_def_1020, type, sK405: (product_prod @ vEBT_VEBT @ nat > nat)).
% 181.38/27.86 thf(func_def_1021, type, sK406: (product_prod @ vEBT_VEBT @ nat > option @ product_prod @ nat @ nat)).
% 181.38/27.86 thf(func_def_1022, type, sK407: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 181.38/27.86 thf(func_def_1023, type, sK408: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 181.38/27.86 thf(func_def_1024, type, sK409: (product_prod @ vEBT_VEBT @ nat > nat)).
% 181.38/27.86 thf(func_def_1025, type, sK410: (product_prod @ vEBT_VEBT @ nat > $o)).
% 181.38/27.86 thf(func_def_1026, type, sK411: (product_prod @ vEBT_VEBT @ nat > $o)).
% 181.38/27.86 thf(func_def_1027, type, sK412: (product_prod @ vEBT_VEBT @ nat > nat)).
% 181.38/27.86 thf(func_def_1028, type, sK413: ((nat > $o) > nat)).
% 181.38/27.86 thf(func_def_1029, type, sK414: ((nat > $o) > nat)).
% 181.38/27.86 thf(func_def_1030, type, sK415: ((nat > nat > $o) > nat)).
% 181.38/27.86 thf(func_def_1031, type, sK416: ((nat > nat > $o) > nat)).
% 181.38/27.86 thf(func_def_1032, type, sK417: ((nat > nat > $o) > nat)).
% 181.38/27.86 thf(func_def_1033, type, sK418: ((nat > nat > $o) > nat)).
% 181.38/27.86 thf(func_def_1034, type, sK419: ((nat > nat > $o) > nat)).
% 181.38/27.86 thf(func_def_1035, type, sK420: (product_prod @ vEBT_VEBT @ nat > nat)).
% 181.38/27.86 thf(func_def_1036, type, sK421: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 181.38/27.86 thf(func_def_1037, type, sK422: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 181.38/27.86 thf(func_def_1038, type, sK423: (product_prod @ vEBT_VEBT @ nat > nat)).
% 181.38/27.86 thf(func_def_1039, type, sK424: (product_prod @ vEBT_VEBT @ nat > nat)).
% 181.38/27.86 thf(func_def_1040, type, sK425: (product_prod @ vEBT_VEBT @ nat > nat)).
% 181.38/27.86 thf(func_def_1041, type, sK426: (product_prod @ vEBT_VEBT @ nat > nat)).
% 181.38/27.86 thf(func_def_1042, type, sK427: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 181.38/27.86 thf(func_def_1043, type, sK428: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 181.38/27.86 thf(func_def_1044, type, sK429: (product_prod @ vEBT_VEBT @ nat > nat)).
% 181.38/27.86 thf(func_def_1045, type, sK430: (product_prod @ vEBT_VEBT @ nat > nat)).
% 181.38/27.86 thf(func_def_1046, type, sK431: (product_prod @ vEBT_VEBT @ nat > nat)).
% 181.38/27.86 thf(func_def_1047, type, sK432: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 181.38/27.86 thf(func_def_1048, type, sK433: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 181.38/27.86 thf(func_def_1049, type, sK434: (product_prod @ vEBT_VEBT @ nat > nat)).
% 181.38/27.86 thf(func_def_1050, type, sK435: (product_prod @ vEBT_VEBT @ nat > list @ vEBT_VEBT)).
% 181.38/27.86 thf(func_def_1051, type, sK436: (product_prod @ vEBT_VEBT @ nat > vEBT_VEBT)).
% 181.38/27.86 thf(func_def_1052, type, sK437: (product_prod @ vEBT_VEBT @ nat > nat)).
% 181.38/27.86 thf(func_def_1053, type, sK438: (product_prod @ vEBT_VEBT @ nat > $o)).
% 181.38/27.86 thf(func_def_1054, type, sK439: (product_prod @ vEBT_VEBT @ nat > $o)).
% 181.38/27.86 thf(func_def_1055, type, sK440: (product_prod @ vEBT_VEBT @ nat > nat)).
% 181.38/27.86 thf(func_def_1056, type, sK441: ((int > $o) > int > int)).
% 181.38/27.86 thf(func_def_1057, type, sK442: !>[X0: $tType, X1: $tType]:((X1 > X0))).
% 181.38/27.86 thf(func_def_1058, type, sK443: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_1059, type, sK444: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_1060, type, sK445: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_1061, type, sK446: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_1062, type, sK447: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_1063, type, sK448: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_1064, type, sK449: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_1065, type, sK450: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_1066, type, sK451: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_1067, type, sK452: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 181.38/27.86 thf(func_def_1068, type, sK453: !>[X0: $tType, X1: $tType]:((X1 > X0))).
% 181.38/27.86 thf(func_def_1069, type, sK454: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_1070, type, sK455: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_1071, type, sK456: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.86 thf(func_def_1072, type, sK457: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.87 thf(func_def_1073, type, sK458: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1074, type, sK459: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1075, type, sK460: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1076, type, sK461: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1077, type, sK462: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1078, type, sK463: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1079, type, sK464: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.87 thf(func_def_1080, type, sK465: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.87 thf(func_def_1081, type, sK466: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.87 thf(func_def_1082, type, sK467: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.87 thf(func_def_1083, type, sK468: (nat > nat)).
% 181.38/27.87 thf(func_def_1084, type, sK469: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.87 thf(func_def_1085, type, sK470: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.87 thf(func_def_1086, type, sK471: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.87 thf(func_def_1087, type, sK472: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.87 thf(func_def_1088, type, sK473: !>[X0: $tType]:((nat > list @ list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_1089, type, sK474: ((nat > $o) > nat)).
% 181.38/27.87 thf(func_def_1090, type, sK475: ((int > $o) > int > int)).
% 181.38/27.87 thf(func_def_1091, type, sK476: ((int > $o) > int > int)).
% 181.38/27.87 thf(func_def_1092, type, sK477: ((int > $o) > int)).
% 181.38/27.87 thf(func_def_1093, type, sK478: (int > (int > $o) > (int > $o) > int)).
% 181.38/27.87 thf(func_def_1094, type, sK479: ((int > $o) > int > int)).
% 181.38/27.87 thf(func_def_1095, type, sK480: ((int > $o) > int > int)).
% 181.38/27.87 thf(func_def_1096, type, sK481: ((int > $o) > int)).
% 181.38/27.87 thf(func_def_1097, type, sK482: (int > (int > $o) > (int > $o) > int)).
% 181.38/27.87 thf(func_def_1098, type, sK483: ((int > $o) > int > int)).
% 181.38/27.87 thf(func_def_1099, type, sK484: ((int > $o) > int > int)).
% 181.38/27.87 thf(func_def_1100, type, sK485: (int > (int > $o) > int)).
% 181.38/27.87 thf(func_def_1101, type, sK486: (int > (int > $o) > int)).
% 181.38/27.87 thf(func_def_1102, type, sK487: ((int > $o) > int > int)).
% 181.38/27.87 thf(func_def_1103, type, sK488: !>[X0: $tType]:(((nat > X0) > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1104, type, sK489: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1105, type, sK490: (product_prod @ num @ num > num)).
% 181.38/27.87 thf(func_def_1106, type, sK491: (product_prod @ num @ num > num)).
% 181.38/27.87 thf(func_def_1107, type, sK492: (product_prod @ num @ num > num)).
% 181.38/27.87 thf(func_def_1108, type, sK493: (product_prod @ num @ num > num)).
% 181.38/27.87 thf(func_def_1109, type, sK494: (product_prod @ num @ num > num)).
% 181.38/27.87 thf(func_def_1110, type, sK495: (product_prod @ num @ num > num)).
% 181.38/27.87 thf(func_def_1111, type, sK496: (product_prod @ num @ num > num)).
% 181.38/27.87 thf(func_def_1112, type, sK497: (product_prod @ num @ num > num)).
% 181.38/27.87 thf(func_def_1113, type, sK498: (product_prod @ num @ num > num)).
% 181.38/27.87 thf(func_def_1114, type, sK499: (product_prod @ num @ num > num)).
% 181.38/27.87 thf(func_def_1115, type, sK500: (product_prod @ num @ num > num)).
% 181.38/27.87 thf(func_def_1116, type, sK501: (product_prod @ num @ num > num)).
% 181.38/27.87 thf(func_def_1117, type, sK502: (num > num)).
% 181.38/27.87 thf(func_def_1118, type, sK503: (num > num)).
% 181.38/27.87 thf(func_def_1119, type, sK504: (real > real > nat)).
% 181.38/27.87 thf(func_def_1120, type, sK505: (real > real > nat)).
% 181.38/27.87 thf(func_def_1121, type, sK506: ((int > $o) > int)).
% 181.38/27.87 thf(func_def_1122, type, sK507: ((int > $o) > int)).
% 181.38/27.87 thf(func_def_1123, type, sK508: !>[X0: $tType]:((X0 > nat))).
% 181.38/27.87 thf(func_def_1124, type, sK509: (int > nat)).
% 181.38/27.87 thf(func_def_1125, type, sK510: (int > nat)).
% 181.38/27.87 thf(func_def_1126, type, sK511: ((int > $o) > nat)).
% 181.38/27.87 thf(func_def_1127, type, sK512: ((int > $o) > nat)).
% 181.38/27.87 thf(func_def_1128, type, sK513: (int > nat)).
% 181.38/27.87 thf(func_def_1129, type, sK514: (int > nat)).
% 181.38/27.87 thf(func_def_1130, type, sK515: (int > nat)).
% 181.38/27.87 thf(func_def_1131, type, sK516: (int > nat)).
% 181.38/27.87 thf(func_def_1132, type, sK517: (int > nat)).
% 181.38/27.87 thf(func_def_1133, type, sK518: (int > nat)).
% 181.38/27.87 thf(func_def_1134, type, sK519: (int > nat)).
% 181.38/27.87 thf(func_def_1135, type, sK520: (int > nat)).
% 181.38/27.87 thf(func_def_1136, type, sK521: (int > nat)).
% 181.38/27.87 thf(func_def_1137, type, sK522: (int > nat)).
% 181.38/27.87 thf(func_def_1138, type, sK523: (int > nat)).
% 181.38/27.87 thf(func_def_1139, type, sK524: !>[X0: $tType]:((X0 > nat))).
% 181.38/27.87 thf(func_def_1140, type, sK525: !>[X0: $tType]:((X0 > nat))).
% 181.38/27.87 thf(func_def_1141, type, sK526: ((nat > $o) > nat)).
% 181.38/27.87 thf(func_def_1142, type, sK527: (real > real > (real > real > $o) > real)).
% 181.38/27.87 thf(func_def_1143, type, sK528: (real > real > real > (real > real > $o) > real)).
% 181.38/27.87 thf(func_def_1144, type, sK529: (real > real > real > (real > real > $o) > real)).
% 181.38/27.87 thf(func_def_1145, type, sK530: ((real > real > $o) > real)).
% 181.38/27.87 thf(func_def_1146, type, sK531: ((real > real > $o) > real)).
% 181.38/27.87 thf(func_def_1147, type, sK532: ((real > real > $o) > real)).
% 181.38/27.87 thf(func_def_1148, type, sK533: !>[X0: $tType]:((X0 > X0 > nat))).
% 181.38/27.87 thf(func_def_1149, type, sK534: ((num > $o) > num)).
% 181.38/27.87 thf(func_def_1150, type, sK535: !>[X0: $tType]:((X0 > X0 > nat))).
% 181.38/27.87 thf(func_def_1151, type, sK536: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.87 thf(func_def_1152, type, sK537: (real > real > real > real)).
% 181.38/27.87 thf(func_def_1153, type, sK538: (real > real > real > real)).
% 181.38/27.87 thf(func_def_1154, type, sK539: !>[X0: $tType]:((X0 > nat))).
% 181.38/27.87 thf(func_def_1155, type, sK540: (int > nat)).
% 181.38/27.87 thf(func_def_1156, type, sK541: !>[X0: $tType]:((X0 > nat))).
% 181.38/27.87 thf(func_def_1157, type, sK542: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1158, type, sK543: (nat > nat > (nat > int) > nat)).
% 181.38/27.87 thf(func_def_1159, type, sK544: (int > (nat > int) > nat > nat > nat)).
% 181.38/27.87 thf(func_def_1160, type, sK545: (int > (nat > int) > nat > nat)).
% 181.38/27.87 thf(func_def_1161, type, sK546: ((nat > int) > nat > nat)).
% 181.38/27.87 thf(func_def_1162, type, sK547: (int > (nat > int) > nat > nat)).
% 181.38/27.87 thf(func_def_1163, type, sK548: ((nat > int) > nat > nat)).
% 181.38/27.87 thf(func_def_1164, type, sK549: !>[X0: $tType]:((X0 > X0 > nat))).
% 181.38/27.87 thf(func_def_1165, type, sK550: (real > real)).
% 181.38/27.87 thf(func_def_1166, type, sK551: (real > real)).
% 181.38/27.87 thf(func_def_1167, type, sK552: (product_prod @ int @ int > int > int > int)).
% 181.38/27.87 thf(func_def_1168, type, sK553: (product_prod @ int @ int > int > int > int)).
% 181.38/27.87 thf(func_def_1169, type, sK554: (product_prod @ int @ int > int > int > int)).
% 181.38/27.87 thf(func_def_1170, type, sK555: (real > real)).
% 181.38/27.87 thf(func_def_1171, type, sK556: (real > real > real)).
% 181.38/27.87 thf(func_def_1172, type, sK557: real).
% 181.38/27.87 thf(func_def_1173, type, sK558: (real > real)).
% 181.38/27.87 thf(func_def_1174, type, sK559: (real > real > real)).
% 181.38/27.87 thf(func_def_1175, type, sK560: (real > real > real)).
% 181.38/27.87 thf(func_def_1176, type, sK561: (real > real > real)).
% 181.38/27.87 thf(func_def_1177, type, sK562: (real > real)).
% 181.38/27.87 thf(func_def_1178, type, sK563: (real > nat)).
% 181.38/27.87 thf(func_def_1179, type, sK564: (real > nat)).
% 181.38/27.87 thf(func_def_1180, type, sK565: (complex > real)).
% 181.38/27.87 thf(func_def_1181, type, sK566: (real > real)).
% 181.38/27.87 thf(func_def_1182, type, sK567: (real > real)).
% 181.38/27.87 thf(func_def_1183, type, sK568: (real > real)).
% 181.38/27.87 thf(func_def_1184, type, sK569: (real > real)).
% 181.38/27.87 thf(func_def_1185, type, sK570: (real > real)).
% 181.38/27.87 thf(func_def_1186, type, sK571: !>[X0: $tType]:((X0 > int))).
% 181.38/27.87 thf(func_def_1187, type, sK572: !>[X0: $tType]:((X0 > int))).
% 181.38/27.87 thf(func_def_1188, type, sK573: !>[X0: $tType]:((X0 > int))).
% 181.38/27.87 thf(func_def_1189, type, sK574: !>[X0: $tType]:((X0 > int))).
% 181.38/27.87 thf(func_def_1190, type, sK575: !>[X0: $tType]:((X0 > int))).
% 181.38/27.87 thf(func_def_1191, type, sK576: (real > int)).
% 181.38/27.87 thf(func_def_1192, type, sK577: !>[X0: $tType]:((X0 > nat))).
% 181.38/27.87 thf(func_def_1193, type, sK578: ((real > $o) > nat)).
% 181.38/27.87 thf(func_def_1194, type, sK579: ((real > $o) > real)).
% 181.38/27.87 thf(func_def_1195, type, sK580: ((real > $o) > real)).
% 181.38/27.87 thf(func_def_1196, type, sK581: ((real > $o) > nat)).
% 181.38/27.87 thf(func_def_1197, type, sK582: ((real > $o) > real)).
% 181.38/27.87 thf(func_def_1198, type, sK583: ((real > $o) > real)).
% 181.38/27.87 thf(func_def_1199, type, sK584: !>[X0: $tType]:((X0 > nat))).
% 181.38/27.87 thf(func_def_1200, type, sK585: !>[X0: $tType]:((X0 > nat > X0))).
% 181.38/27.87 thf(func_def_1201, type, sK586: (vEBT_VEBT > nat > nat)).
% 181.38/27.87 thf(func_def_1202, type, sK587: (vEBT_VEBT > nat > nat)).
% 181.38/27.87 thf(func_def_1203, type, sK588: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1204, type, sK589: (vEBT_VEBT > nat > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1205, type, sK590: (vEBT_VEBT > nat > nat)).
% 181.38/27.87 thf(func_def_1206, type, sK591: (vEBT_VEBT > nat > nat)).
% 181.38/27.87 thf(func_def_1207, type, sK592: (vEBT_VEBT > nat > nat)).
% 181.38/27.87 thf(func_def_1208, type, sK593: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1209, type, sK594: (vEBT_VEBT > nat > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1210, type, sK595: (nat > vEBT_VEBT > nat)).
% 181.38/27.87 thf(func_def_1211, type, sK596: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1212, type, sK597: (nat > vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1213, type, sK598: (vEBT_VEBT > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1214, type, sK599: (vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1215, type, sK600: (vEBT_VEBT > $o)).
% 181.38/27.87 thf(func_def_1216, type, sK601: (vEBT_VEBT > $o)).
% 181.38/27.87 thf(func_def_1217, type, sK602: (vEBT_VEBT > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1218, type, sK603: (vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1219, type, sK604: (vEBT_VEBT > $o)).
% 181.38/27.87 thf(func_def_1220, type, sK605: (vEBT_VEBT > $o)).
% 181.38/27.87 thf(func_def_1221, type, sK606: ($o > nat > vEBT_VEBT > nat)).
% 181.38/27.87 thf(func_def_1222, type, sK607: ($o > nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1223, type, sK608: ($o > nat > vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1224, type, sK609: ($o > nat > vEBT_VEBT > nat)).
% 181.38/27.87 thf(func_def_1225, type, sK610: ($o > nat > vEBT_VEBT > nat)).
% 181.38/27.87 thf(func_def_1226, type, sK611: ($o > nat > vEBT_VEBT > nat)).
% 181.38/27.87 thf(func_def_1227, type, sK612: ($o > nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1228, type, sK613: ($o > nat > vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1229, type, sK614: ($o > nat > vEBT_VEBT > nat)).
% 181.38/27.87 thf(func_def_1230, type, sK615: ($o > nat > vEBT_VEBT > nat)).
% 181.38/27.87 thf(func_def_1231, type, sK616: ($o > nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1232, type, sK617: ($o > nat > vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1233, type, sK618: !>[X0: $tType]:((real > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1234, type, sK619: !>[X0: $tType]:(((nat > X0) > real))).
% 181.38/27.87 thf(func_def_1235, type, sK620: !>[X0: $tType]:((nat > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1236, type, sK621: !>[X0: $tType]:((nat > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1237, type, sK622: ($o > nat > vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 181.38/27.87 thf(func_def_1238, type, sK623: ($o > nat > vEBT_VEBT > nat)).
% 181.38/27.87 thf(func_def_1239, type, sK624: ($o > nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1240, type, sK625: ($o > nat > vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1241, type, sK626: (vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 181.38/27.87 thf(func_def_1242, type, sK627: (vEBT_VEBT > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1243, type, sK628: (vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1244, type, sK629: ($o > nat > vEBT_VEBT > $o)).
% 181.38/27.87 thf(func_def_1245, type, sK630: ($o > nat > vEBT_VEBT > $o)).
% 181.38/27.87 thf(func_def_1246, type, sK631: (vEBT_VEBT > nat > $o)).
% 181.38/27.87 thf(func_def_1247, type, sK632: (vEBT_VEBT > nat > $o)).
% 181.38/27.87 thf(func_def_1248, type, sK633: (nat > vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 181.38/27.87 thf(func_def_1249, type, sK634: (nat > vEBT_VEBT > nat)).
% 181.38/27.87 thf(func_def_1250, type, sK635: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1251, type, sK636: (nat > vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1252, type, sK637: (vEBT_VEBT > nat > $o)).
% 181.38/27.87 thf(func_def_1253, type, sK638: (vEBT_VEBT > nat > $o)).
% 181.38/27.87 thf(func_def_1254, type, sK639: (nat > vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 181.38/27.87 thf(func_def_1255, type, sK640: (nat > vEBT_VEBT > nat)).
% 181.38/27.87 thf(func_def_1256, type, sK641: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1257, type, sK642: (nat > vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1258, type, sK643: (vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 181.38/27.87 thf(func_def_1259, type, sK644: (vEBT_VEBT > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1260, type, sK645: (vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1261, type, sK646: (vEBT_VEBT > nat > nat)).
% 181.38/27.87 thf(func_def_1262, type, sK647: (vEBT_VEBT > nat > nat)).
% 181.38/27.87 thf(func_def_1263, type, sK648: (vEBT_VEBT > nat > nat)).
% 181.38/27.87 thf(func_def_1264, type, sK649: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1265, type, sK650: (vEBT_VEBT > nat > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1266, type, sK651: (nat > vEBT_VEBT > nat)).
% 181.38/27.87 thf(func_def_1267, type, sK652: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1268, type, sK653: (nat > vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1269, type, sK654: (nat > vEBT_VEBT > nat)).
% 181.38/27.87 thf(func_def_1270, type, sK655: (nat > vEBT_VEBT > nat)).
% 181.38/27.87 thf(func_def_1271, type, sK656: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1272, type, sK657: (nat > vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1273, type, sK658: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1274, type, sK659: (nat > vEBT_VEBT > nat)).
% 181.38/27.87 thf(func_def_1275, type, sK660: !>[X0: $tType]:((nat > (nat > real) > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1276, type, sK661: !>[X0: $tType]:(((nat > X0) > nat > (nat > real) > nat))).
% 181.38/27.87 thf(func_def_1277, type, sK662: !>[X0: $tType]:(((nat > X0) > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1278, type, sK663: !>[X0: $tType]:(((nat > X0) > nat > (nat > complex) > nat))).
% 181.38/27.87 thf(func_def_1279, type, sK664: ((nat > complex) > nat)).
% 181.38/27.87 thf(func_def_1280, type, sK665: ((nat > complex) > nat)).
% 181.38/27.87 thf(func_def_1281, type, sK666: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1282, type, sK667: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1283, type, sK668: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1284, type, sK669: !>[X0: $tType]:((X0 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_1285, type, sK670: !>[X0: $tType]:((X0 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_1286, type, sK671: !>[X0: $tType]:((nat > (nat > real) > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1287, type, sK672: (nat > (nat > real) > (nat > real) > nat)).
% 181.38/27.87 thf(func_def_1288, type, sK673: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1289, type, sK674: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1290, type, sK675: !>[X0: $tType]:(((nat > X0) > real > nat))).
% 181.38/27.87 thf(func_def_1291, type, sK676: ((nat > real) > nat)).
% 181.38/27.87 thf(func_def_1292, type, sK677: ((nat > real) > nat)).
% 181.38/27.87 thf(func_def_1293, type, sK678: !>[X0: $tType]:((real > (nat > X0) > real > nat))).
% 181.38/27.87 thf(func_def_1294, type, sK679: !>[X0: $tType]:(((nat > X0) > nat > real > nat))).
% 181.38/27.87 thf(func_def_1295, type, sK680: (vEBT_VEBT > $o > nat > nat)).
% 181.38/27.87 thf(func_def_1296, type, sK681: (vEBT_VEBT > $o > nat > nat)).
% 181.38/27.87 thf(func_def_1297, type, sK682: (vEBT_VEBT > $o > nat > nat)).
% 181.38/27.87 thf(func_def_1298, type, sK683: (vEBT_VEBT > $o > nat > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1299, type, sK684: (vEBT_VEBT > $o > nat > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1300, type, sK685: (vEBT_VEBT > $o > nat > nat)).
% 181.38/27.87 thf(func_def_1301, type, sK686: (vEBT_VEBT > $o > nat > nat)).
% 181.38/27.87 thf(func_def_1302, type, sK687: (vEBT_VEBT > $o > nat > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1303, type, sK688: (vEBT_VEBT > $o > nat > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1304, type, sK689: (vEBT_VEBT > $o > nat > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1305, type, sK690: (vEBT_VEBT > $o > nat > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1306, type, sK691: (vEBT_VEBT > $o > nat > $o)).
% 181.38/27.87 thf(func_def_1307, type, sK692: (vEBT_VEBT > $o > nat > $o)).
% 181.38/27.87 thf(func_def_1308, type, sK693: ($o > nat > vEBT_VEBT > nat)).
% 181.38/27.87 thf(func_def_1309, type, sK694: ($o > nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1310, type, sK695: ($o > nat > vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1311, type, sK696: (vEBT_VEBT > nat > nat)).
% 181.38/27.87 thf(func_def_1312, type, sK697: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1313, type, sK698: (vEBT_VEBT > nat > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1314, type, sK699: (vEBT_VEBT > nat > nat)).
% 181.38/27.87 thf(func_def_1315, type, sK700: (vEBT_VEBT > nat > nat)).
% 181.38/27.87 thf(func_def_1316, type, sK701: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1317, type, sK702: (vEBT_VEBT > nat > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1318, type, sK703: (vEBT_VEBT > nat > nat)).
% 181.38/27.87 thf(func_def_1319, type, sK704: (vEBT_VEBT > nat > nat)).
% 181.38/27.87 thf(func_def_1320, type, sK705: (vEBT_VEBT > nat > nat)).
% 181.38/27.87 thf(func_def_1321, type, sK706: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1322, type, sK707: (vEBT_VEBT > nat > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1323, type, sK708: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1324, type, sK709: (nat > vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1325, type, sK710: (nat > vEBT_VEBT > $o)).
% 181.38/27.87 thf(func_def_1326, type, sK711: (nat > vEBT_VEBT > $o)).
% 181.38/27.87 thf(func_def_1327, type, sK712: !>[X0: $tType]:(((nat > X0) > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1328, type, sK713: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 181.38/27.87 thf(func_def_1329, type, sK714: (vEBT_VEBT > nat > nat)).
% 181.38/27.87 thf(func_def_1330, type, sK715: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1331, type, sK716: (vEBT_VEBT > nat > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1332, type, sK717: (vEBT_VEBT > nat > nat)).
% 181.38/27.87 thf(func_def_1333, type, sK718: (vEBT_VEBT > nat > nat)).
% 181.38/27.87 thf(func_def_1334, type, sK719: (vEBT_VEBT > nat > nat)).
% 181.38/27.87 thf(func_def_1335, type, sK720: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1336, type, sK721: (vEBT_VEBT > nat > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1337, type, sK722: (nat > vEBT_VEBT > nat)).
% 181.38/27.87 thf(func_def_1338, type, sK723: (nat > vEBT_VEBT > nat)).
% 181.38/27.87 thf(func_def_1339, type, sK724: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1340, type, sK725: (nat > vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1341, type, sK726: (vEBT_VEBT > nat > $o)).
% 181.38/27.87 thf(func_def_1342, type, sK727: (vEBT_VEBT > nat > $o)).
% 181.38/27.87 thf(func_def_1343, type, sK728: (nat > vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 181.38/27.87 thf(func_def_1344, type, sK729: (nat > vEBT_VEBT > nat)).
% 181.38/27.87 thf(func_def_1345, type, sK730: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1346, type, sK731: (nat > vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1347, type, sK732: (nat > vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 181.38/27.87 thf(func_def_1348, type, sK733: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1349, type, sK734: (nat > vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1350, type, sK735: (vEBT_VEBT > nat > $o)).
% 181.38/27.87 thf(func_def_1351, type, sK736: (vEBT_VEBT > nat > $o)).
% 181.38/27.87 thf(func_def_1352, type, sK737: (nat > vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 181.38/27.87 thf(func_def_1353, type, sK738: (nat > vEBT_VEBT > nat)).
% 181.38/27.87 thf(func_def_1354, type, sK739: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1355, type, sK740: (nat > vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1356, type, sK741: (vEBT_VEBT > $o > nat > option @ product_prod @ nat @ nat)).
% 181.38/27.87 thf(func_def_1357, type, sK742: (vEBT_VEBT > $o > nat > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1358, type, sK743: (vEBT_VEBT > $o > nat > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1359, type, sK744: (vEBT_VEBT > $o > nat > $o)).
% 181.38/27.87 thf(func_def_1360, type, sK745: (vEBT_VEBT > $o > nat > $o)).
% 181.38/27.87 thf(func_def_1361, type, sK746: ($o > nat > vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 181.38/27.87 thf(func_def_1362, type, sK747: ($o > nat > vEBT_VEBT > nat)).
% 181.38/27.87 thf(func_def_1363, type, sK748: ($o > nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1364, type, sK749: ($o > nat > vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1365, type, sK750: !>[X0: $tType]:(((nat > X0) > X0))).
% 181.38/27.87 thf(func_def_1366, type, sK751: !>[X0: $tType]:(((nat > X0) > real > X0))).
% 181.38/27.87 thf(func_def_1367, type, sK752: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1368, type, sK753: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1369, type, sK754: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1370, type, sK755: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1371, type, sK756: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1372, type, sK757: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1373, type, sK758: !>[X0: $tType, X1: $tType]:(((X1 > real) > (X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1374, type, sK759: !>[X0: $tType]:((X0 > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1375, type, sK760: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1376, type, sK761: !>[X0: $tType]:((nat > (nat > X0) > X0))).
% 181.38/27.87 thf(func_def_1377, type, sK762: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 181.38/27.87 thf(func_def_1378, type, sK763: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 181.38/27.87 thf(func_def_1379, type, sK764: ((nat > nat) > nat > nat)).
% 181.38/27.87 thf(func_def_1380, type, sK765: ((nat > nat) > nat > nat)).
% 181.38/27.87 thf(func_def_1381, type, sK766: !>[X0: $tType]:((nat > (nat > X0) > real > real))).
% 181.38/27.87 thf(func_def_1382, type, sK767: !>[X0: $tType, X1: $tType]:((X1 > X1 > (X0 > X1) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1383, type, sK768: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1384, type, sK769: (real > nat > real)).
% 181.38/27.87 thf(func_def_1385, type, sK770: !>[X0: $tType]:(((X0 > nat) > (X0 > nat) > X0))).
% 181.38/27.87 thf(func_def_1386, type, sK771: !>[X0: $tType]:(((X0 > nat) > (X0 > nat) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1387, type, sK772: !>[X0: $tType]:((set @ X0 > (X0 > nat) > X0))).
% 181.38/27.87 thf(func_def_1388, type, sK773: !>[X0: $tType]:((X0 > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1389, type, sK774: !>[X0: $tType]:((X0 > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1390, type, sK775: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1391, type, sK776: !>[X0: $tType]:((nat > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1392, type, sK777: !>[X0: $tType]:((nat > X0 > (nat > X0) > nat > X0))).
% 181.38/27.87 thf(func_def_1393, type, sK778: !>[X0: $tType]:((X0 > nat > (nat > X0) > nat > X0))).
% 181.38/27.87 thf(func_def_1394, type, sK779: !>[X0: $tType]:((X0 > (nat > X0) > nat > nat))).
% 181.38/27.87 thf(func_def_1395, type, sK780: !>[X0: $tType]:((nat > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1396, type, sK781: (nat > (nat > real) > (real > real) > real > real)).
% 181.38/27.87 thf(func_def_1397, type, sK782: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1398, type, sK783: (nat > real > real)).
% 181.38/27.87 thf(func_def_1399, type, sK784: (nat > (nat > real) > nat)).
% 181.38/27.87 thf(func_def_1400, type, sK785: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1401, type, sK786: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1402, type, sK787: !>[X0: $tType]:(((nat > X0) > (nat > X0) > set @ nat > nat))).
% 181.38/27.87 thf(func_def_1403, type, sK788: (nat > real > real)).
% 181.38/27.87 thf(func_def_1404, type, sK789: (nat > real > real)).
% 181.38/27.87 thf(func_def_1405, type, sK790: (nat > real > real)).
% 181.38/27.87 thf(func_def_1406, type, sK791: (nat > real > real)).
% 181.38/27.87 thf(func_def_1407, type, sK792: (nat > real > real)).
% 181.38/27.87 thf(func_def_1408, type, sK793: (real > nat > real)).
% 181.38/27.87 thf(func_def_1409, type, sK794: (nat > real > real)).
% 181.38/27.87 thf(func_def_1410, type, sK795: !>[X0: $tType]:((real > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1411, type, sK796: (nat > vEBT_VEBT > nat)).
% 181.38/27.87 thf(func_def_1412, type, sK797: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X0))).
% 181.38/27.87 thf(func_def_1413, type, sK798: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1414, type, sK799: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1415, type, sK800: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1416, type, sK801: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1417, type, sK802: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1418, type, sK803: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1419, type, sK804: ((int > $o) > int > int)).
% 181.38/27.87 thf(func_def_1420, type, sK805: ((int > $o) > int > int)).
% 181.38/27.87 thf(func_def_1421, type, sK806: (int > set @ int > int > int)).
% 181.38/27.87 thf(func_def_1422, type, sK807: (int > set @ int > int > int)).
% 181.38/27.87 thf(func_def_1423, type, sK808: (int > set @ int > int > int)).
% 181.38/27.87 thf(func_def_1424, type, sK809: (int > set @ int > int > int)).
% 181.38/27.87 thf(func_def_1425, type, sK810: (int > set @ int > int > int)).
% 181.38/27.87 thf(func_def_1426, type, sK811: (int > set @ int > int > int)).
% 181.38/27.87 thf(func_def_1427, type, sK812: (int > set @ int > int > int)).
% 181.38/27.87 thf(func_def_1428, type, sK813: (int > set @ int > int > int)).
% 181.38/27.87 thf(func_def_1429, type, sK814: (int > set @ int > int > int)).
% 181.38/27.87 thf(func_def_1430, type, sK815: (int > set @ int > int > int)).
% 181.38/27.87 thf(func_def_1431, type, sK816: (int > set @ int > int > int)).
% 181.38/27.87 thf(func_def_1432, type, sK817: (int > set @ int > int > int)).
% 181.38/27.87 thf(func_def_1433, type, sK818: (int > set @ int > int > int)).
% 181.38/27.87 thf(func_def_1434, type, sK819: (int > set @ int > int > int)).
% 181.38/27.87 thf(func_def_1435, type, sK820: (int > set @ int > int > int)).
% 181.38/27.87 thf(func_def_1436, type, sK821: (int > set @ int > int > int)).
% 181.38/27.87 thf(func_def_1437, type, sK822: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1438, type, sK823: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1439, type, sK824: (int > set @ int > int > int)).
% 181.38/27.87 thf(func_def_1440, type, sK825: (int > set @ int > int > int)).
% 181.38/27.87 thf(func_def_1441, type, sK826: (int > set @ int > int > int)).
% 181.38/27.87 thf(func_def_1442, type, sK827: (int > set @ int > int > int)).
% 181.38/27.87 thf(func_def_1443, type, sK828: (int > set @ int > int > int)).
% 181.38/27.87 thf(func_def_1444, type, sK829: (int > set @ int > int > int)).
% 181.38/27.87 thf(func_def_1445, type, sK830: (int > set @ int > int > int)).
% 181.38/27.87 thf(func_def_1446, type, sK831: (int > set @ int > int > int)).
% 181.38/27.87 thf(func_def_1447, type, sK832: ((int > $o) > int > int)).
% 181.38/27.87 thf(func_def_1448, type, sK833: ((int > $o) > int > int)).
% 181.38/27.87 thf(func_def_1449, type, sK834: (set @ int > (int > $o) > int > int)).
% 181.38/27.87 thf(func_def_1450, type, sK835: (int > (int > $o) > (int > $o) > int)).
% 181.38/27.87 thf(func_def_1451, type, sK836: ((int > $o) > int > int)).
% 181.38/27.87 thf(func_def_1452, type, sK837: ((int > $o) > int > int)).
% 181.38/27.87 thf(func_def_1453, type, sK838: (set @ int > (int > $o) > int > int)).
% 181.38/27.87 thf(func_def_1454, type, sK839: (int > (int > $o) > (int > $o) > int)).
% 181.38/27.87 thf(func_def_1455, type, sK840: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > set @ product_prod @ X1 @ X0 > X1))).
% 181.38/27.87 thf(func_def_1456, type, sK841: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > set @ product_prod @ X1 @ X0 > X0))).
% 181.38/27.87 thf(func_def_1457, type, sK842: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X1))).
% 181.38/27.87 thf(func_def_1458, type, sK843: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1459, type, sK844: !>[X0: $tType]:(((X0 > nat) > (X0 > nat) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_1460, type, sK845: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1 > X1 > X1))).
% 181.38/27.87 thf(func_def_1461, type, sK846: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1 > X1 > X1))).
% 181.38/27.87 thf(func_def_1462, type, sK847: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1463, type, sK848: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1464, type, sK849: !>[X0: $tType]:(((X0 > $o) > (X0 > X0 > $o) > (X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1465, type, sK850: !>[X0: $tType]:((nat > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1466, type, sK851: !>[X0: $tType]:((nat > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1467, type, sK852: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 181.38/27.87 thf(func_def_1468, type, sK853: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 181.38/27.87 thf(func_def_1469, type, sK854: (nat > (nat > nat) > nat)).
% 181.38/27.87 thf(func_def_1470, type, sK855: (nat > (nat > nat) > nat)).
% 181.38/27.87 thf(func_def_1471, type, sK856: ((nat > nat) > nat > nat)).
% 181.38/27.87 thf(func_def_1472, type, sK857: ((nat > nat) > nat > nat)).
% 181.38/27.87 thf(func_def_1473, type, sK858: !>[X0: $tType]:((((nat > X0 > X0) > nat > nat > X0 > $o) > nat > X0 > X0))).
% 181.38/27.87 thf(func_def_1474, type, sK859: !>[X0: $tType]:((((nat > X0 > X0) > nat > nat > X0 > $o) > nat))).
% 181.38/27.87 thf(func_def_1475, type, sK860: !>[X0: $tType]:((((nat > X0 > X0) > nat > nat > X0 > $o) > nat))).
% 181.38/27.87 thf(func_def_1476, type, sK861: !>[X0: $tType]:((((nat > X0 > X0) > nat > nat > X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1477, type, sK862: ((int > int > $o) > int)).
% 181.38/27.87 thf(func_def_1478, type, sK863: ((int > int > $o) > int)).
% 181.38/27.87 thf(func_def_1479, type, sK864: !>[X0: $tType]:((X0 > X0 > nat))).
% 181.38/27.87 thf(func_def_1480, type, sK865: (num > num > num > num)).
% 181.38/27.87 thf(func_def_1481, type, sK866: (num > num > num > num)).
% 181.38/27.87 thf(func_def_1482, type, sK867: (num > num)).
% 181.38/27.87 thf(func_def_1483, type, sK868: (num > num > num > num)).
% 181.38/27.87 thf(func_def_1484, type, sK869: (num > num > num > num)).
% 181.38/27.87 thf(func_def_1485, type, sK870: (num > num > num > num)).
% 181.38/27.87 thf(func_def_1486, type, sK871: (num > num > num > num)).
% 181.38/27.87 thf(func_def_1487, type, sK872: (num > num)).
% 181.38/27.87 thf(func_def_1488, type, sK873: (num > num > num)).
% 181.38/27.87 thf(func_def_1489, type, sK874: (num > num > num)).
% 181.38/27.87 thf(func_def_1490, type, sK875: (num > num > num > num)).
% 181.38/27.87 thf(func_def_1491, type, sK876: (num > num > num > num)).
% 181.38/27.87 thf(func_def_1492, type, sK877: (num > num > num > num)).
% 181.38/27.87 thf(func_def_1493, type, sK878: (num > num > num > num)).
% 181.38/27.87 thf(func_def_1494, type, sK879: (num > num > num > num)).
% 181.38/27.87 thf(func_def_1495, type, sK880: (num > num > num > num)).
% 181.38/27.87 thf(func_def_1496, type, sK881: (num > num > num > num)).
% 181.38/27.87 thf(func_def_1497, type, sK882: (num > num > num > num)).
% 181.38/27.87 thf(func_def_1498, type, sK883: (num > num > num > num)).
% 181.38/27.87 thf(func_def_1499, type, sK884: (num > num > num > num)).
% 181.38/27.87 thf(func_def_1500, type, sK885: (num > num > num)).
% 181.38/27.87 thf(func_def_1501, type, sK886: (num > num > num)).
% 181.38/27.87 thf(func_def_1502, type, sK887: (num > num > num > num)).
% 181.38/27.87 thf(func_def_1503, type, sK888: (num > num > num > num)).
% 181.38/27.87 thf(func_def_1504, type, sK889: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1505, type, sK890: (rat > rat)).
% 181.38/27.87 thf(func_def_1506, type, sK891: (rat > rat)).
% 181.38/27.87 thf(func_def_1507, type, sK892: !>[X0: $tType]:((set @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_1508, type, sK893: ((nat > nat) > nat)).
% 181.38/27.87 thf(func_def_1509, type, sK894: (nat > set @ nat > nat)).
% 181.38/27.87 thf(func_def_1510, type, sK895: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_1511, type, sK896: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > (X2 > X1) > set @ X2 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1512, type, sK897: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1513, type, sK898: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1514, type, sK899: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1515, type, sK900: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > (X0 > X0 > $o) > X1))).
% 181.38/27.87 thf(func_def_1516, type, sK901: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1517, type, sK902: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1518, type, sK903: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1519, type, sK904: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1520, type, sK905: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > (X0 > X0 > $o) > X1))).
% 181.38/27.87 thf(func_def_1521, type, sK906: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1522, type, sK907: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1523, type, sK908: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1524, type, sK909: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1525, type, sK910: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1526, type, sK911: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > set @ X0 > set @ X0 > X1))).
% 181.38/27.87 thf(func_def_1527, type, sK912: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X0 > X1) > (X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_1528, type, sK913: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > set @ X0 > set @ X0 > X1))).
% 181.38/27.87 thf(func_def_1529, type, sK914: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X0 > X1) > (X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_1530, type, sK915: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > (X0 > X1) > (X0 > X2) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1531, type, sK916: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1532, type, sK917: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1533, type, sK918: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1534, type, sK919: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1535, type, sK920: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1536, type, sK921: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1537, type, sK922: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1538, type, sK923: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1539, type, sK924: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1540, type, sK925: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1541, type, sK926: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1542, type, sK927: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1543, type, sK928: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1544, type, sK929: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1545, type, sK930: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1546, type, sK931: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1547, type, sK932: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1548, type, sK933: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1549, type, sK934: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1550, type, sK935: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1551, type, sK936: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1552, type, sK937: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1553, type, sK938: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1554, type, sK939: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1555, type, sK940: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1556, type, sK941: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1557, type, sK942: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1558, type, sK943: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > (X0 > X2) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1559, type, sK944: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1560, type, sK945: !>[X0: $tType]:((set @ nat > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_1561, type, sK946: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1562, type, sK947: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1563, type, sK948: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1564, type, sK949: !>[X0: $tType]:(((X0 > real) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1565, type, sK950: !>[X0: $tType]:((set @ list @ X0 > nat))).
% 181.38/27.87 thf(func_def_1566, type, sK951: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1567, type, sK952: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1568, type, sK953: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 181.38/27.87 thf(func_def_1569, type, sK954: (set @ nat > nat)).
% 181.38/27.87 thf(func_def_1570, type, sK955: (set @ nat > nat > nat)).
% 181.38/27.87 thf(func_def_1571, type, sK956: !>[X0: $tType]:((nat > set @ X0 > set @ X0))).
% 181.38/27.87 thf(func_def_1572, type, sK957: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > (X0 > X1 > $o) > X0))).
% 181.38/27.87 thf(func_def_1573, type, sK958: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > (X0 > X1 > $o) > X0))).
% 181.38/27.87 thf(func_def_1574, type, sK959: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > (X0 > X1 > $o) > X1))).
% 181.38/27.87 thf(func_def_1575, type, sK960: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ X0 > set @ X1 > X0))).
% 181.38/27.87 thf(func_def_1576, type, sK961: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > X0 > X1))).
% 181.38/27.87 thf(func_def_1577, type, sK962: !>[X0: $tType]:((set @ X0 > nat > set @ X0))).
% 181.38/27.87 thf(func_def_1578, type, sK963: !>[X0: $tType]:((nat > set @ X0 > set @ X0))).
% 181.38/27.87 thf(func_def_1579, type, sK964: !>[X0: $tType]:((set @ X0 > X0 > nat))).
% 181.38/27.87 thf(func_def_1580, type, sK965: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1581, type, sK966: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1582, type, sK967: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.87 thf(func_def_1583, type, sK968: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.87 thf(func_def_1584, type, sK969: !>[X0: $tType, X1: $tType]:((real > (X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1585, type, sK970: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1586, type, sK971: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1587, type, sK972: !>[X0: $tType]:((set @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_1588, type, sK973: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 181.38/27.87 thf(func_def_1589, type, sK974: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1590, type, sK975: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1591, type, sK976: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1592, type, sK977: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1593, type, sK978: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (set @ X1 > $o) > X1))).
% 181.38/27.87 thf(func_def_1594, type, sK979: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (set @ X1 > $o) > set @ X1))).
% 181.38/27.87 thf(func_def_1595, type, sK980: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1596, type, sK981: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 181.38/27.87 thf(func_def_1597, type, sK982: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1598, type, sK983: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 181.38/27.87 thf(func_def_1599, type, sK984: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1600, type, sK985: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1601, type, sK986: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0))).
% 181.38/27.87 thf(func_def_1602, type, sK987: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1603, type, sK988: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0))).
% 181.38/27.87 thf(func_def_1604, type, sK989: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1605, type, sK990: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1606, type, sK991: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1607, type, sK992: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0))).
% 181.38/27.87 thf(func_def_1608, type, sK993: !>[X0: $tType]:((set @ X0 > (set @ X0 > $o) > set @ X0))).
% 181.38/27.87 thf(func_def_1609, type, sK994: !>[X0: $tType]:((nat > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1610, type, sK995: !>[X0: $tType]:((nat > set @ X0 > set @ X0))).
% 181.38/27.87 thf(func_def_1611, type, sK996: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0))).
% 181.38/27.87 thf(func_def_1612, type, sK997: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1613, type, sK998: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1 > X1))).
% 181.38/27.87 thf(func_def_1614, type, sK999: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1615, type, sK1000: ((int > int > $o) > int)).
% 181.38/27.87 thf(func_def_1616, type, sK1001: ((int > int > $o) > int)).
% 181.38/27.87 thf(func_def_1617, type, sK1002: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1618, type, sK1003: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1619, type, sK1004: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1620, type, sK1005: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1621, type, sK1006: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1622, type, sK1007: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1623, type, sK1008: (nat > nat > nat)).
% 181.38/27.87 thf(func_def_1624, type, sK1009: (nat > nat > nat)).
% 181.38/27.87 thf(func_def_1625, type, sK1010: (nat > nat > nat)).
% 181.38/27.87 thf(func_def_1626, type, sK1011: (nat > nat > nat)).
% 181.38/27.87 thf(func_def_1627, type, sK1012: ((nat > $o) > nat > nat)).
% 181.38/27.87 thf(func_def_1628, type, sK1013: ((nat > $o) > nat > nat)).
% 181.38/27.87 thf(func_def_1629, type, sK1014: (set @ nat > nat > nat)).
% 181.38/27.87 thf(func_def_1630, type, sK1015: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1631, type, sK1016: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1632, type, sK1017: !>[X0: $tType]:(((nat > X0 > X0 > $o) > (nat > X0 > $o) > nat > X0))).
% 181.38/27.87 thf(func_def_1633, type, sK1018: !>[X0: $tType]:(((nat > X0 > X0 > $o) > (nat > X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1634, type, sK1019: !>[X0: $tType]:(((nat > X0 > X0 > $o) > (nat > X0 > $o) > nat))).
% 181.38/27.87 thf(func_def_1635, type, sK1020: !>[X0: $tType, X1: $tType]:((real > (X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_1636, type, sK1021: !>[X0: $tType]:((X0 > X0 > (X0 > X0 > $o) > nat > X0))).
% 181.38/27.87 thf(func_def_1637, type, sK1022: !>[X0: $tType]:((X0 > X0 > (X0 > X0 > $o) > nat > X0))).
% 181.38/27.87 thf(func_def_1638, type, sK1023: !>[X0: $tType]:((X0 > X0 > (X0 > X0 > $o) > nat > X0))).
% 181.38/27.87 thf(func_def_1639, type, sK1024: !>[X0: $tType]:((X0 > X0 > (X0 > X0 > $o) > nat > X0))).
% 181.38/27.87 thf(func_def_1640, type, sK1025: !>[X0: $tType]:((X0 > X0 > (X0 > X0 > $o) > nat > nat))).
% 181.38/27.87 thf(func_def_1641, type, sK1026: !>[X0: $tType]:((X0 > X0 > (X0 > X0 > $o) > nat > X0))).
% 181.38/27.87 thf(func_def_1642, type, sK1027: !>[X0: $tType]:((X0 > X0 > (X0 > X0 > $o) > nat > nat))).
% 181.38/27.87 thf(func_def_1643, type, sK1028: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 181.38/27.87 thf(func_def_1644, type, sK1029: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1645, type, sK1030: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 181.38/27.87 thf(func_def_1646, type, sK1031: !>[X0: $tType]:((X0 > X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1647, type, sK1032: !>[X0: $tType]:((X0 > X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1648, type, sK1033: !>[X0: $tType]:((set @ set @ X0 > set @ X0 > set @ set @ X0))).
% 181.38/27.87 thf(func_def_1649, type, sK1034: !>[X0: $tType]:((X0 > X0))).
% 181.38/27.87 thf(func_def_1650, type, sK1035: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > X0))).
% 181.38/27.87 thf(func_def_1651, type, sK1036: !>[X0: $tType]:((X0 > (X0 > $o) > X0 > X0))).
% 181.38/27.87 thf(func_def_1652, type, sK1037: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1653, type, sK1038: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1654, type, sK1039: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 181.38/27.87 thf(func_def_1655, type, sK1040: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1656, type, sK1041: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1657, type, sK1042: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 181.38/27.87 thf(func_def_1658, type, sK1043: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1659, type, sK1044: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1660, type, sK1045: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1661, type, sK1046: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1662, type, sK1047: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 181.38/27.87 thf(func_def_1663, type, sK1048: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1664, type, sK1049: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1665, type, sK1050: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1666, type, sK1051: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1667, type, sK1052: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1668, type, sK1053: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1669, type, sK1054: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1670, type, sK1055: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1671, type, sK1056: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1672, type, sK1057: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1673, type, sK1058: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1674, type, sK1059: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1675, type, sK1060: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1676, type, sK1061: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1677, type, sK1062: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1678, type, sK1063: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > set @ X0))).
% 181.38/27.87 thf(func_def_1679, type, sK1064: !>[X0: $tType]:((set @ set @ X0 > set @ set @ X0 > set @ X0))).
% 181.38/27.87 thf(func_def_1680, type, sK1065: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > set @ X0))).
% 181.38/27.87 thf(func_def_1681, type, sK1066: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1682, type, sK1067: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1683, type, sK1068: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > set @ X0))).
% 181.38/27.87 thf(func_def_1684, type, sK1069: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1685, type, sK1070: (nat > vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 181.38/27.87 thf(func_def_1686, type, sK1071: (nat > vEBT_VEBT > nat)).
% 181.38/27.87 thf(func_def_1687, type, sK1072: (nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1688, type, sK1073: (nat > vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1689, type, sK1074: (nat > vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1690, type, sK1075: (vEBT_VEBT > $o)).
% 181.38/27.87 thf(func_def_1691, type, sK1076: (vEBT_VEBT > $o)).
% 181.38/27.87 thf(func_def_1692, type, sK1077: (vEBT_VEBT > nat > option @ product_prod @ nat @ nat)).
% 181.38/27.87 thf(func_def_1693, type, sK1078: (vEBT_VEBT > nat > nat)).
% 181.38/27.87 thf(func_def_1694, type, sK1079: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1695, type, sK1080: (vEBT_VEBT > nat > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1696, type, sK1081: (vEBT_VEBT > $o)).
% 181.38/27.87 thf(func_def_1697, type, sK1082: (vEBT_VEBT > $o)).
% 181.38/27.87 thf(func_def_1698, type, sK1083: ($o > nat > vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 181.38/27.87 thf(func_def_1699, type, sK1084: ($o > nat > vEBT_VEBT > nat)).
% 181.38/27.87 thf(func_def_1700, type, sK1085: ($o > nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1701, type, sK1086: ($o > nat > vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1702, type, sK1087: (vEBT_VEBT > $o)).
% 181.38/27.87 thf(func_def_1703, type, sK1088: (vEBT_VEBT > $o)).
% 181.38/27.87 thf(func_def_1704, type, sK1089: !>[X0: $tType]:((option @ X0 > (X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1705, type, sK1090: (vEBT_VEBT > $o > nat > $o)).
% 181.38/27.87 thf(func_def_1706, type, sK1091: (vEBT_VEBT > $o > nat > $o)).
% 181.38/27.87 thf(func_def_1707, type, sK1092: ($o > nat > vEBT_VEBT > option @ product_prod @ nat @ nat)).
% 181.38/27.87 thf(func_def_1708, type, sK1093: ($o > nat > vEBT_VEBT > nat)).
% 181.38/27.87 thf(func_def_1709, type, sK1094: ($o > nat > vEBT_VEBT > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1710, type, sK1095: ($o > nat > vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1711, type, sK1096: (vEBT_VEBT > nat > option @ product_prod @ nat @ nat)).
% 181.38/27.87 thf(func_def_1712, type, sK1097: (vEBT_VEBT > nat > nat)).
% 181.38/27.87 thf(func_def_1713, type, sK1098: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1714, type, sK1099: (vEBT_VEBT > nat > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1715, type, sK1100: (nat > vEBT_VEBT > $o)).
% 181.38/27.87 thf(func_def_1716, type, sK1101: (nat > vEBT_VEBT > $o)).
% 181.38/27.87 thf(func_def_1717, type, sK1102: (vEBT_VEBT > nat > option @ product_prod @ nat @ nat)).
% 181.38/27.87 thf(func_def_1718, type, sK1103: (vEBT_VEBT > nat > nat)).
% 181.38/27.87 thf(func_def_1719, type, sK1104: (vEBT_VEBT > nat > list @ vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1720, type, sK1105: (vEBT_VEBT > nat > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1721, type, sK1106: (vEBT_VEBT > nat > vEBT_VEBT)).
% 181.38/27.87 thf(func_def_1722, type, sK1107: (nat > vEBT_VEBT > $o)).
% 181.38/27.87 thf(func_def_1723, type, sK1108: (nat > vEBT_VEBT > $o)).
% 181.38/27.87 thf(func_def_1724, type, sK1109: (nat > (nat > $o) > nat)).
% 181.38/27.87 thf(func_def_1725, type, sK1110: (nat > (nat > $o) > nat)).
% 181.38/27.87 thf(func_def_1726, type, sK1111: (nat > (nat > $o) > nat)).
% 181.38/27.87 thf(func_def_1727, type, sK1112: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1728, type, sK1113: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1729, type, sK1114: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1730, type, sK1115: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1731, type, sK1116: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1732, type, sK1117: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1733, type, sK1118: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1734, type, sK1119: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1735, type, sK1120: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1736, type, sK1121: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1737, type, sK1122: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1738, type, sK1123: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1739, type, sK1124: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1740, type, sK1125: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1741, type, sK1126: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1742, type, sK1127: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1743, type, sK1128: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1744, type, sK1129: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1745, type, sK1130: (num > num)).
% 181.38/27.87 thf(func_def_1746, type, sK1131: (num > num)).
% 181.38/27.87 thf(func_def_1747, type, sK1132: (option @ num > num > num > num)).
% 181.38/27.87 thf(func_def_1748, type, sK1133: (option @ num > num > num > num)).
% 181.38/27.87 thf(func_def_1749, type, sK1134: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1750, type, sK1135: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1751, type, sK1136: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1752, type, sK1137: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1753, type, sK1138: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1754, type, sK1139: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1755, type, sK1140: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1756, type, sK1141: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1757, type, sK1142: (num > option @ num > num)).
% 181.38/27.87 thf(func_def_1758, type, sK1143: (num > option @ num > num)).
% 181.38/27.87 thf(func_def_1759, type, sK1144: (option @ num > num > num > num)).
% 181.38/27.87 thf(func_def_1760, type, sK1145: (option @ num > num > num > num)).
% 181.38/27.87 thf(func_def_1761, type, sK1146: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1762, type, sK1147: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1763, type, sK1148: (num > num)).
% 181.38/27.87 thf(func_def_1764, type, sK1149: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1765, type, sK1150: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1766, type, sK1151: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1767, type, sK1152: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1768, type, sK1153: (num > num)).
% 181.38/27.87 thf(func_def_1769, type, sK1154: (num > num)).
% 181.38/27.87 thf(func_def_1770, type, sK1155: (num > num)).
% 181.38/27.87 thf(func_def_1771, type, sK1156: (option @ num > num > num > num)).
% 181.38/27.87 thf(func_def_1772, type, sK1157: (option @ num > num > num > num)).
% 181.38/27.87 thf(func_def_1773, type, sK1158: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1774, type, sK1159: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1775, type, sK1160: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1776, type, sK1161: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1777, type, sK1162: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1778, type, sK1163: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1779, type, sK1164: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1780, type, sK1165: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1781, type, sK1166: (num > option @ num > num)).
% 181.38/27.87 thf(func_def_1782, type, sK1167: (num > option @ num > num)).
% 181.38/27.87 thf(func_def_1783, type, sK1168: (option @ num > num > num > num)).
% 181.38/27.87 thf(func_def_1784, type, sK1169: (option @ num > num > num > num)).
% 181.38/27.87 thf(func_def_1785, type, sK1170: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1786, type, sK1171: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1787, type, sK1172: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1788, type, sK1173: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1789, type, sK1174: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1790, type, sK1175: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1791, type, sK1176: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1792, type, sK1177: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1793, type, sK1178: (num > option @ num > num)).
% 181.38/27.87 thf(func_def_1794, type, sK1179: (num > option @ num > num)).
% 181.38/27.87 thf(func_def_1795, type, sK1180: (option @ num > num > num > num)).
% 181.38/27.87 thf(func_def_1796, type, sK1181: (option @ num > num > num > num)).
% 181.38/27.87 thf(func_def_1797, type, sK1182: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1798, type, sK1183: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1799, type, sK1184: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1800, type, sK1185: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1801, type, sK1186: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1802, type, sK1187: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1803, type, sK1188: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1804, type, sK1189: (num > num > option @ num > num)).
% 181.38/27.87 thf(func_def_1805, type, sK1190: (num > option @ num > num)).
% 181.38/27.87 thf(func_def_1806, type, sK1191: (num > option @ num > num)).
% 181.38/27.87 thf(func_def_1807, type, sK1192: (option @ num > num > num > num)).
% 181.38/27.87 thf(func_def_1808, type, sK1193: (option @ num > num > num > num)).
% 181.38/27.87 thf(func_def_1809, type, sK1194: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_1810, type, sK1195: !>[X0: $tType]:((set @ nat > list @ X0 > nat))).
% 181.38/27.87 thf(func_def_1811, type, sK1196: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_1812, type, sK1197: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_1813, type, sK1198: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_1814, type, sK1199: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > (X0 > X1) > set @ X2 > set @ X0 > X2))).
% 181.38/27.87 thf(func_def_1815, type, sK1200: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > (X0 > X1) > set @ X2 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1816, type, sK1201: (real > real > real)).
% 181.38/27.87 thf(func_def_1817, type, sK1202: (real > real)).
% 181.38/27.87 thf(func_def_1818, type, sK1203: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1819, type, sK1204: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1820, type, sK1205: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > set @ X1))).
% 181.38/27.87 thf(func_def_1821, type, sK1206: (real > real)).
% 181.38/27.87 thf(func_def_1822, type, sK1207: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 181.38/27.87 thf(func_def_1823, type, sK1208: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 181.38/27.87 thf(func_def_1824, type, sK1209: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 181.38/27.87 thf(func_def_1825, type, sK1210: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 181.38/27.87 thf(func_def_1826, type, sK1211: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 181.38/27.87 thf(func_def_1827, type, sK1212: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 181.38/27.87 thf(func_def_1828, type, sK1213: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 181.38/27.87 thf(func_def_1829, type, sK1214: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > (X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1830, type, sK1215: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X1) > set @ X2 > set @ X0 > X2))).
% 181.38/27.87 thf(func_def_1831, type, sK1216: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X1) > set @ X2 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1832, type, sK1217: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > set @ X1))).
% 181.38/27.87 thf(func_def_1833, type, sK1218: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > (X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_1834, type, sK1219: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1835, type, sK1220: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_1836, type, sK1221: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1837, type, sK1222: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > (X0 > X1) > set @ X2 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1838, type, sK1223: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > set @ X0 > X1))).
% 181.38/27.87 thf(func_def_1839, type, sK1224: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1840, type, sK1225: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1841, type, sK1226: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_1842, type, sK1227: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > (X0 > X1) > set @ X0 > set @ X2 > X2))).
% 181.38/27.87 thf(func_def_1843, type, sK1228: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1 > set @ X0 > X1))).
% 181.38/27.87 thf(func_def_1844, type, sK1229: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1845, type, sK1230: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1846, type, sK1231: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1847, type, sK1232: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1848, type, sK1233: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1849, type, sK1234: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1850, type, sK1235: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1851, type, sK1236: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1852, type, sK1237: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1853, type, sK1238: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1854, type, sK1239: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > (X1 > set @ X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1855, type, sK1240: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > set @ X1) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_1856, type, sK1241: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X0 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1857, type, sK1242: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > (X1 > set @ X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1858, type, sK1243: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > set @ X1) > (X0 > X1) > (X2 > set @ X0) > set @ X2 > X2))).
% 181.38/27.87 thf(func_def_1859, type, sK1244: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1860, type, sK1245: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1861, type, sK1246: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > set @ X0 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1862, type, sK1247: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > set @ X0 > set @ X1 > X0))).
% 181.38/27.87 thf(func_def_1863, type, sK1248: !>[X0: $tType, X1: $tType]:(((X0 > filter @ X1) > set @ X0 > set @ X0))).
% 181.38/27.87 thf(func_def_1864, type, sK1249: !>[X0: $tType, X1: $tType]:(((X1 > filter @ X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1865, type, sK1250: !>[X0: $tType, X1: $tType]:(((X1 > filter @ X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1866, type, sK1251: !>[X0: $tType]:((set @ filter @ X0 > set @ filter @ X0))).
% 181.38/27.87 thf(func_def_1867, type, sK1252: ((nat > real) > nat)).
% 181.38/27.87 thf(func_def_1868, type, sK1253: !>[X0: $tType]:((nat > (nat > set @ X0) > nat))).
% 181.38/27.87 thf(func_def_1869, type, sK1254: !>[X0: $tType]:((nat > (nat > set @ X0) > nat))).
% 181.38/27.87 thf(func_def_1870, type, sK1255: !>[X0: $tType]:((nat > (nat > set @ X0) > nat))).
% 181.38/27.87 thf(func_def_1871, type, sK1256: !>[X0: $tType]:((set @ X0 > (nat > set @ X0) > nat))).
% 181.38/27.87 thf(func_def_1872, type, sK1257: !>[X0: $tType]:((set @ X0 > (nat > set @ X0) > nat))).
% 181.38/27.87 thf(func_def_1873, type, sK1258: !>[X0: $tType]:((nat > (nat > set @ X0) > (nat > set @ X0) > nat))).
% 181.38/27.87 thf(func_def_1874, type, sK1259: !>[X0: $tType]:((nat > (nat > set @ X0) > (nat > set @ X0) > nat))).
% 181.38/27.87 thf(func_def_1875, type, sK1260: (real > real > (real > real) > (real > real) > real)).
% 181.38/27.87 thf(func_def_1876, type, sK1261: ((real > real) > (real > real) > real > real > real)).
% 181.38/27.87 thf(func_def_1877, type, sK1262: ((real > real) > real > real > real)).
% 181.38/27.87 thf(func_def_1878, type, sK1263: ((real > real) > real > real > real)).
% 181.38/27.87 thf(func_def_1879, type, sK1264: ((real > real) > real > real > real)).
% 181.38/27.87 thf(func_def_1880, type, sK1265: ((real > real) > real > real > real)).
% 181.38/27.87 thf(func_def_1881, type, sK1266: ((real > real) > real > real > real)).
% 181.38/27.87 thf(func_def_1882, type, sK1267: ((real > real) > (real > real) > real > real > real)).
% 181.38/27.87 thf(func_def_1883, type, sK1268: ((real > real) > real > real > real)).
% 181.38/27.87 thf(func_def_1884, type, sK1269: (real > real > (real > real) > real)).
% 181.38/27.87 thf(func_def_1885, type, sK1270: (real > (real > real) > real)).
% 181.38/27.87 thf(func_def_1886, type, sK1271: (real > (real > real) > real)).
% 181.38/27.87 thf(func_def_1887, type, sK1272: (real > (real > real) > real)).
% 181.38/27.87 thf(func_def_1888, type, sK1273: (real > (real > real) > real)).
% 181.38/27.87 thf(func_def_1889, type, sK1274: (set @ real > real > (real > real) > real)).
% 181.38/27.87 thf(func_def_1890, type, sK1275: (set @ real > real > (real > real) > real)).
% 181.38/27.87 thf(func_def_1891, type, sK1276: (set @ real > real > (real > real) > real)).
% 181.38/27.87 thf(func_def_1892, type, sK1277: (set @ real > real > (real > real) > real)).
% 181.38/27.87 thf(func_def_1893, type, sK1278: (real > (real > real) > real)).
% 181.38/27.87 thf(func_def_1894, type, sK1279: (real > real > (real > real) > real)).
% 181.38/27.87 thf(func_def_1895, type, sK1280: (real > real > (real > real) > real)).
% 181.38/27.87 thf(func_def_1896, type, sK1281: !>[X0: $tType]:(((nat > X0) > X0))).
% 181.38/27.87 thf(func_def_1897, type, sK1282: !>[X0: $tType]:(((X0 > X0) > (nat > X0) > real > X0))).
% 181.38/27.87 thf(func_def_1898, type, sK1283: ((nat > real) > real > real > (real > nat > real) > nat)).
% 181.38/27.87 thf(func_def_1899, type, sK1284: ((nat > real) > real > real > (real > nat > real) > real)).
% 181.38/27.87 thf(func_def_1900, type, sK1285: ((nat > real) > real > real > (real > nat > real) > real)).
% 181.38/27.87 thf(func_def_1901, type, sK1286: (real > real > (real > nat > real) > real)).
% 181.38/27.87 thf(func_def_1902, type, sK1287: (real > (real > nat > real) > (real > nat > real) > nat)).
% 181.38/27.87 thf(func_def_1903, type, sK1288: !>[X0: $tType]:(((nat > X0) > real > X0))).
% 181.38/27.87 thf(func_def_1904, type, sK1289: ((nat > real) > real > real)).
% 181.38/27.87 thf(func_def_1905, type, sK1290: (nat > real > (real > real) > (nat > real > real) > real)).
% 181.38/27.87 thf(func_def_1906, type, sK1291: ((nat > real > real) > nat)).
% 181.38/27.87 thf(func_def_1907, type, sK1292: ((nat > real > real) > real)).
% 181.38/27.87 thf(func_def_1908, type, sK1293: (nat > real > (real > real) > (nat > real > real) > real)).
% 181.38/27.87 thf(func_def_1909, type, sK1294: ((nat > real > real) > nat)).
% 181.38/27.87 thf(func_def_1910, type, sK1295: ((nat > real > real) > real)).
% 181.38/27.87 thf(func_def_1911, type, sK1296: (nat > real > (nat > real > real) > nat)).
% 181.38/27.87 thf(func_def_1912, type, sK1297: (nat > real > (nat > real > real) > real)).
% 181.38/27.87 thf(func_def_1913, type, sK1298: ((real > real) > (nat > real > real) > nat > real > real)).
% 181.38/27.87 thf(func_def_1914, type, sK1299: (nat > real > (nat > real > real) > nat)).
% 181.38/27.87 thf(func_def_1915, type, sK1300: (nat > real > (nat > real > real) > real)).
% 181.38/27.87 thf(func_def_1916, type, sK1301: (nat > (real > real) > (nat > real > real) > real > real)).
% 181.38/27.87 thf(func_def_1917, type, sK1302: (nat > real > (nat > real > real) > nat)).
% 181.38/27.87 thf(func_def_1918, type, sK1303: (nat > real > (nat > real > real) > real)).
% 181.38/27.87 thf(func_def_1919, type, sK1304: ((real > real) > (nat > real > real) > nat > real > real)).
% 181.38/27.87 thf(func_def_1920, type, sK1305: (real > nat > (real > real) > (nat > real > real) > real)).
% 181.38/27.87 thf(func_def_1921, type, sK1306: ((nat > real > real) > nat)).
% 181.38/27.87 thf(func_def_1922, type, sK1307: ((nat > real > real) > real)).
% 181.38/27.87 thf(func_def_1923, type, sK1308: (real > nat > (real > real) > (nat > real > real) > real)).
% 181.38/27.87 thf(func_def_1924, type, sK1309: (real > nat > (nat > real > real) > nat)).
% 181.38/27.87 thf(func_def_1925, type, sK1310: (real > nat > (nat > real > real) > real)).
% 181.38/27.87 thf(func_def_1926, type, sK1311: (nat > real > real > (nat > real > real) > nat)).
% 181.38/27.87 thf(func_def_1927, type, sK1312: (nat > real > real > (nat > real > real) > real)).
% 181.38/27.87 thf(func_def_1928, type, sK1313: (real > real > (real > real) > (nat > real > real) > nat > real)).
% 181.38/27.87 thf(func_def_1929, type, sK1314: (nat > real > real > (nat > real > real) > nat)).
% 181.38/27.87 thf(func_def_1930, type, sK1315: (nat > real > real > (nat > real > real) > real)).
% 181.38/27.87 thf(func_def_1931, type, sK1316: (real > real > (real > real) > (nat > real > real) > nat > real)).
% 181.38/27.87 thf(func_def_1932, type, sK1317: ((real > real) > (nat > real > real) > real > real > nat > real)).
% 181.38/27.87 thf(func_def_1933, type, sK1318: (real > real > (nat > real > real) > nat > nat)).
% 181.38/27.87 thf(func_def_1934, type, sK1319: (real > real > (nat > real > real) > nat > real)).
% 181.38/27.87 thf(func_def_1935, type, sK1320: ((nat > real > real) > real > nat > nat)).
% 181.38/27.87 thf(func_def_1936, type, sK1321: ((nat > real > real) > real > nat > real)).
% 181.38/27.87 thf(func_def_1937, type, sK1322: !>[X0: $tType, X1: $tType]:(((X1 > X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_1938, type, sK1323: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 181.38/27.87 thf(func_def_1939, type, sK1324: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_1940, type, sK1325: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_1941, type, sK1326: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_1942, type, sK1327: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 181.38/27.87 thf(func_def_1943, type, sK1328: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_1944, type, sK1329: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 181.38/27.87 thf(func_def_1945, type, sK1330: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_1946, type, sK1331: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_1947, type, sK1332: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_1948, type, sK1333: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 181.38/27.87 thf(func_def_1949, type, sK1334: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 181.38/27.87 thf(func_def_1950, type, sK1335: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_1951, type, sK1336: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 181.38/27.87 thf(func_def_1952, type, sK1337: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1 > X0))).
% 181.38/27.87 thf(func_def_1953, type, sK1338: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1 > X0))).
% 181.38/27.87 thf(func_def_1954, type, sK1339: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1))).
% 181.38/27.87 thf(func_def_1955, type, sK1340: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1))).
% 181.38/27.87 thf(func_def_1956, type, sK1341: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > list @ X1))).
% 181.38/27.87 thf(func_def_1957, type, sK1342: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1 > X0))).
% 181.38/27.87 thf(func_def_1958, type, sK1343: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1))).
% 181.38/27.87 thf(func_def_1959, type, sK1344: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 181.38/27.87 thf(func_def_1960, type, sK1345: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 181.38/27.87 thf(func_def_1961, type, sK1346: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 181.38/27.87 thf(func_def_1962, type, sK1347: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_1963, type, sK1348: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 181.38/27.87 thf(func_def_1964, type, sK1349: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 181.38/27.87 thf(func_def_1965, type, sK1350: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 181.38/27.87 thf(func_def_1966, type, sK1351: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > X0 > X1))).
% 181.38/27.87 thf(func_def_1967, type, sK1352: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > X0))).
% 181.38/27.87 thf(func_def_1968, type, sK1353: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > list @ X0))).
% 181.38/27.87 thf(func_def_1969, type, sK1354: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > list @ X1))).
% 181.38/27.87 thf(func_def_1970, type, sK1355: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > X0 > X1))).
% 181.38/27.87 thf(func_def_1971, type, sK1356: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > list @ X1))).
% 181.38/27.87 thf(func_def_1972, type, sK1357: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1973, type, sK1358: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 181.38/27.87 thf(func_def_1974, type, sK1359: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1975, type, sK1360: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 181.38/27.87 thf(func_def_1976, type, sK1361: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 181.38/27.87 thf(func_def_1977, type, sK1362: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 181.38/27.87 thf(func_def_1978, type, sK1363: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1979, type, sK1364: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 181.38/27.87 thf(func_def_1980, type, sK1365: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_1981, type, sK1366: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 181.38/27.87 thf(func_def_1982, type, sK1367: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 181.38/27.87 thf(func_def_1983, type, sK1368: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 181.38/27.87 thf(func_def_1984, type, sK1369: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 181.38/27.87 thf(func_def_1985, type, sK1370: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 181.38/27.87 thf(func_def_1986, type, sK1371: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 181.38/27.87 thf(func_def_1987, type, sK1372: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 181.38/27.87 thf(func_def_1988, type, sK1373: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 181.38/27.87 thf(func_def_1989, type, sK1374: !>[X0: $tType]:((list @ X0 > X0))).
% 181.38/27.87 thf(func_def_1990, type, sK1375: !>[X0: $tType]:((list @ X0 > X0))).
% 181.38/27.87 thf(func_def_1991, type, sK1376: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_1992, type, sK1377: !>[X0: $tType]:((list @ X0 > X0))).
% 181.38/27.87 thf(func_def_1993, type, sK1378: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 181.38/27.87 thf(func_def_1994, type, sK1379: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_1995, type, sK1380: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 181.38/27.87 thf(func_def_1996, type, sK1381: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 181.38/27.87 thf(func_def_1997, type, sK1382: !>[X0: $tType]:((list @ X0 > X0))).
% 181.38/27.87 thf(func_def_1998, type, sK1383: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_1999, type, sK1384: !>[X0: $tType]:((list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2000, type, sK1385: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2001, type, sK1386: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 181.38/27.87 thf(func_def_2002, type, sK1387: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 181.38/27.87 thf(func_def_2003, type, sK1388: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 181.38/27.87 thf(func_def_2004, type, sK1389: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 181.38/27.87 thf(func_def_2005, type, sK1390: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X1 > list @ X0 > list @ X2 > $o) > X1))).
% 181.38/27.87 thf(func_def_2006, type, sK1391: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X1 > list @ X0 > list @ X2 > $o) > list @ X1))).
% 181.38/27.87 thf(func_def_2007, type, sK1392: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X1 > list @ X0 > list @ X2 > $o) > X0))).
% 181.38/27.87 thf(func_def_2008, type, sK1393: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X1 > list @ X0 > list @ X2 > $o) > list @ X0))).
% 181.38/27.87 thf(func_def_2009, type, sK1394: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X1 > list @ X0 > list @ X2 > $o) > X2))).
% 181.38/27.87 thf(func_def_2010, type, sK1395: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X1 > list @ X0 > list @ X2 > $o) > list @ X2))).
% 181.38/27.87 thf(func_def_2011, type, sK1396: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X0 > list @ X3 > $o) > X1))).
% 181.38/27.87 thf(func_def_2012, type, sK1397: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X0 > list @ X3 > $o) > list @ X1))).
% 181.38/27.87 thf(func_def_2013, type, sK1398: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X0 > list @ X3 > $o) > X2))).
% 181.38/27.87 thf(func_def_2014, type, sK1399: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X0 > list @ X3 > $o) > list @ X2))).
% 181.38/27.87 thf(func_def_2015, type, sK1400: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X0 > list @ X3 > $o) > X0))).
% 181.38/27.87 thf(func_def_2016, type, sK1401: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X0 > list @ X3 > $o) > list @ X0))).
% 181.38/27.87 thf(func_def_2017, type, sK1402: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X0 > list @ X3 > $o) > X3))).
% 181.38/27.87 thf(func_def_2018, type, sK1403: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X0 > list @ X3 > $o) > list @ X3))).
% 181.38/27.87 thf(func_def_2019, type, sK1404: !>[X0: $tType]:((list @ X0 > X0 > X0))).
% 181.38/27.87 thf(func_def_2020, type, sK1405: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2021, type, sK1406: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2022, type, sK1407: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2023, type, sK1408: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2024, type, sK1409: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2025, type, sK1410: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2026, type, sK1411: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2027, type, sK1412: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2028, type, sK1413: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2029, type, sK1414: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2030, type, sK1415: !>[X0: $tType, X1: $tType]:((X1 > (X1 > X0) > list @ X1 > X1))).
% 181.38/27.87 thf(func_def_2031, type, sK1416: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ list @ X0))).
% 181.38/27.87 thf(func_def_2032, type, sK1417: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2033, type, sK1418: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2034, type, sK1419: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ list @ X0))).
% 181.38/27.87 thf(func_def_2035, type, sK1420: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_2036, type, sK1421: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 181.38/27.87 thf(func_def_2037, type, sK1422: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_2038, type, sK1423: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2039, type, sK1424: !>[X0: $tType]:((list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2040, type, sK1425: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_2041, type, sK1426: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 181.38/27.87 thf(func_def_2042, type, sK1427: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2043, type, sK1428: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2044, type, sK1429: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2045, type, sK1430: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2046, type, sK1431: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2047, type, sK1432: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2048, type, sK1433: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2049, type, sK1434: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2050, type, sK1435: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2051, type, sK1436: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2052, type, sK1437: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2053, type, sK1438: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2054, type, sK1439: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2055, type, sK1440: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2056, type, sK1441: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2057, type, sK1442: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2058, type, sK1443: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2059, type, sK1444: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2060, type, sK1445: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2061, type, sK1446: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2062, type, sK1447: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2063, type, sK1448: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2064, type, sK1449: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2065, type, sK1450: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2066, type, sK1451: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2067, type, sK1452: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2068, type, sK1453: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2069, type, sK1454: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2070, type, sK1455: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2071, type, sK1456: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2072, type, sK1457: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2073, type, sK1458: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2074, type, sK1459: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2075, type, sK1460: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2076, type, sK1461: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2077, type, sK1462: !>[X0: $tType]:((list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2078, type, sK1463: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2079, type, sK1464: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2080, type, sK1465: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2081, type, sK1466: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2082, type, sK1467: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2083, type, sK1468: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2084, type, sK1469: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 181.38/27.87 thf(func_def_2085, type, sK1470: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 181.38/27.87 thf(func_def_2086, type, sK1471: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 181.38/27.87 thf(func_def_2087, type, sK1472: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 181.38/27.87 thf(func_def_2088, type, sK1473: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 181.38/27.87 thf(func_def_2089, type, sK1474: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 181.38/27.87 thf(func_def_2090, type, sK1475: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 181.38/27.87 thf(func_def_2091, type, sK1476: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0 > set @ X0))).
% 181.38/27.87 thf(func_def_2092, type, sK1477: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0 > set @ X0))).
% 181.38/27.87 thf(func_def_2093, type, sK1478: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_2094, type, sK1479: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_2095, type, sK1480: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_2096, type, sK1481: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2097, type, sK1482: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2098, type, sK1483: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2099, type, sK1484: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2100, type, sK1485: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 181.38/27.87 thf(func_def_2101, type, sK1486: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 181.38/27.87 thf(func_def_2102, type, sK1487: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_2103, type, sK1488: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 181.38/27.87 thf(func_def_2104, type, sK1489: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 181.38/27.87 thf(func_def_2105, type, sK1490: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 181.38/27.87 thf(func_def_2106, type, sK1491: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 181.38/27.87 thf(func_def_2107, type, sK1492: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2108, type, sK1493: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2109, type, sK1494: !>[X0: $tType, X1: $tType, X2: $tType]:((filter @ X2 > (X2 > X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_2110, type, sK1495: !>[X0: $tType]:(((X0 > real) > X0 > (X0 > real) > X0))).
% 181.38/27.87 thf(func_def_2111, type, sK1496: !>[X0: $tType]:(((X0 > real) > X0 > X0))).
% 181.38/27.87 thf(func_def_2112, type, sK1497: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > (X2 > X1) > X2 > X0 > (X2 > X0) > X2))).
% 181.38/27.87 thf(func_def_2113, type, sK1498: !>[X0: $tType, X1: $tType]:((real > X1 > X0 > (X1 > X0) > real))).
% 181.38/27.87 thf(func_def_2114, type, sK1499: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1 > real))).
% 181.38/27.87 thf(func_def_2115, type, sK1500: !>[X0: $tType, X1: $tType]:((real > X0 > (X1 > X0) > X1 > X1))).
% 181.38/27.87 thf(func_def_2116, type, sK1501: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1 > real > X1))).
% 181.38/27.87 thf(func_def_2117, type, sK1502: (real > (real > real) > real)).
% 181.38/27.87 thf(func_def_2118, type, sK1503: (real > (real > real) > real)).
% 181.38/27.87 thf(func_def_2119, type, sK1504: (real > (real > real) > real)).
% 181.38/27.87 thf(func_def_2120, type, sK1505: !>[X0: $tType, X1: $tType]:((real > X1 > X0 > (X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2121, type, sK1506: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2122, type, sK1507: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2123, type, sK1508: !>[X0: $tType, X1: $tType]:((real > (X1 > X0) > real > X1))).
% 181.38/27.87 thf(func_def_2124, type, sK1509: !>[X0: $tType]:(((X0 > X0) > (nat > X0) > real > X0))).
% 181.38/27.87 thf(func_def_2125, type, sK1510: !>[X0: $tType]:(((X0 > X0) > (nat > X0) > real > X0))).
% 181.38/27.87 thf(func_def_2126, type, sK1511: !>[X0: $tType, X1: $tType]:(((X1 > nat > X0) > (nat > real) > real > X1))).
% 181.38/27.87 thf(func_def_2127, type, sK1512: !>[X0: $tType, X1: $tType]:(((X1 > nat > X0) > (nat > real) > real > nat))).
% 181.38/27.87 thf(func_def_2128, type, sK1513: !>[X0: $tType]:((X0 > nat > X0))).
% 181.38/27.87 thf(func_def_2129, type, sK1514: !>[X0: $tType]:((X0 > nat > X0))).
% 181.38/27.87 thf(func_def_2130, type, sK1515: !>[X0: $tType]:(((nat > X0) > (nat > X0) > nat > nat))).
% 181.38/27.87 thf(func_def_2131, type, sK1516: !>[X0: $tType]:((nat > (nat > X0) > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_2132, type, sK1517: !>[X0: $tType]:((X0 > nat > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_2133, type, sK1518: !>[X0: $tType]:((X0 > nat > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_2134, type, sK1519: !>[X0: $tType]:((nat > X0 > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_2135, type, sK1520: !>[X0: $tType]:((nat > X0 > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_2136, type, sK1521: !>[X0: $tType]:((set @ X0 > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_2137, type, sK1522: !>[X0: $tType]:((set @ X0 > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_2138, type, sK1523: ((nat > real) > real)).
% 181.38/27.87 thf(func_def_2139, type, sK1524: (real > (nat > real) > nat)).
% 181.38/27.87 thf(func_def_2140, type, sK1525: ((nat > real) > (nat > real) > real)).
% 181.38/27.87 thf(func_def_2141, type, sK1526: ((nat > real) > (nat > real) > nat)).
% 181.38/27.87 thf(func_def_2142, type, sK1527: ((nat > real) > nat)).
% 181.38/27.87 thf(func_def_2143, type, sK1528: ((nat > real) > nat)).
% 181.38/27.87 thf(func_def_2144, type, sK1529: ((nat > real) > real)).
% 181.38/27.87 thf(func_def_2145, type, sK1530: (nat > (nat > real) > nat)).
% 181.38/27.87 thf(func_def_2146, type, sK1531: (real > (nat > real) > real)).
% 181.38/27.87 thf(func_def_2147, type, sK1532: (real > (nat > real) > nat)).
% 181.38/27.87 thf(func_def_2148, type, sK1533: ((nat > real) > nat)).
% 181.38/27.87 thf(func_def_2149, type, sK1534: !>[X0: $tType]:((real > X0 > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_2150, type, sK1535: !>[X0: $tType]:((X0 > (nat > X0) > real))).
% 181.38/27.87 thf(func_def_2151, type, sK1536: !>[X0: $tType]:((nat > X0 > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_2152, type, sK1537: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.87 thf(func_def_2153, type, sK1538: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.87 thf(func_def_2154, type, sK1539: ((nat > real) > nat)).
% 181.38/27.87 thf(func_def_2155, type, sK1540: ((nat > real) > nat)).
% 181.38/27.87 thf(func_def_2156, type, sK1541: (real > (nat > real) > nat > int)).
% 181.38/27.87 thf(func_def_2157, type, sK1542: ((nat > real) > nat > int)).
% 181.38/27.87 thf(func_def_2158, type, sK1543: ((nat > real) > nat)).
% 181.38/27.87 thf(func_def_2159, type, sK1544: ((nat > real) > nat)).
% 181.38/27.87 thf(func_def_2160, type, sK1545: ((nat > real) > nat)).
% 181.38/27.87 thf(func_def_2161, type, sK1546: ((nat > real) > nat)).
% 181.38/27.87 thf(func_def_2162, type, sK1547: ((nat > real) > real)).
% 181.38/27.87 thf(func_def_2163, type, sK1548: ((nat > real) > nat)).
% 181.38/27.87 thf(func_def_2164, type, sK1549: ((nat > real) > nat)).
% 181.38/27.87 thf(func_def_2165, type, sK1550: ((nat > real) > nat)).
% 181.38/27.87 thf(func_def_2166, type, sK1551: ((nat > real) > nat)).
% 181.38/27.87 thf(func_def_2167, type, sK1552: ((nat > real) > nat)).
% 181.38/27.87 thf(func_def_2168, type, sK1553: ((nat > real) > nat)).
% 181.38/27.87 thf(func_def_2169, type, sK1554: ((nat > $o) > nat > nat)).
% 181.38/27.87 thf(func_def_2170, type, sK1555: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 181.38/27.87 thf(func_def_2171, type, sK1556: !>[X0: $tType]:((filter @ X0 > filter @ X0 > X0 > $o))).
% 181.38/27.87 thf(func_def_2172, type, sK1557: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2173, type, sK1558: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2174, type, sK1559: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > (X1 > $o) > X0))).
% 181.38/27.87 thf(func_def_2175, type, sK1560: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > (X1 > X0) > X0))).
% 181.38/27.87 thf(func_def_2176, type, sK1561: !>[X0: $tType, X1: $tType]:(((X1 > X0) > real))).
% 181.38/27.87 thf(func_def_2177, type, sK1562: !>[X0: $tType, X1: $tType]:((filter @ X1 > (X1 > X0) > X0 > X0))).
% 181.38/27.87 thf(func_def_2178, type, sK1563: !>[X0: $tType, X1: $tType]:((filter @ X1 > (X1 > X0) > X0 > X0))).
% 181.38/27.87 thf(func_def_2179, type, sK1564: !>[X0: $tType]:((set @ filter @ X0 > filter @ X0))).
% 181.38/27.87 thf(func_def_2180, type, sK1565: !>[X0: $tType]:((set @ filter @ X0 > filter @ X0))).
% 181.38/27.87 thf(func_def_2181, type, sK1566: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > X0))).
% 181.38/27.87 thf(func_def_2182, type, sK1567: !>[X0: $tType, X1: $tType]:(((X1 > X0) > real))).
% 181.38/27.87 thf(func_def_2183, type, sK1568: !>[X0: $tType, X1: $tType]:((filter @ X1 > X0 > (X1 > X0) > X0))).
% 181.38/27.87 thf(func_def_2184, type, sK1569: !>[X0: $tType, X1: $tType]:((filter @ X1 > (X1 > X0) > X0 > X0))).
% 181.38/27.87 thf(func_def_2185, type, sK1570: !>[X0: $tType, X1: $tType]:(((X1 > X0) > real))).
% 181.38/27.87 thf(func_def_2186, type, sK1571: !>[X0: $tType, X1: $tType]:((real > (X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2187, type, sK1572: !>[X0: $tType, X1: $tType]:(((X1 > X0) > real))).
% 181.38/27.87 thf(func_def_2188, type, sK1573: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2189, type, sK1574: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2190, type, sK1575: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2191, type, sK1576: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2192, type, sK1577: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2193, type, sK1578: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_2194, type, sK1579: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > (X1 > $o) > X0))).
% 181.38/27.87 thf(func_def_2195, type, sK1580: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > (X1 > X0) > X0))).
% 181.38/27.87 thf(func_def_2196, type, sK1581: !>[X0: $tType, X1: $tType]:(((X1 > filter @ X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_2197, type, sK1582: !>[X0: $tType, X1: $tType]:(((X1 > filter @ X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_2198, type, sK1583: !>[X0: $tType]:((X0 > nat > set @ X0))).
% 181.38/27.87 thf(func_def_2199, type, sK1584: !>[X0: $tType]:((set @ X0 > X0 > nat))).
% 181.38/27.87 thf(func_def_2200, type, sK1585: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2201, type, sK1586: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2202, type, sK1587: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X0))).
% 181.38/27.87 thf(func_def_2203, type, sK1588: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2204, type, sK1589: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2205, type, sK1590: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2206, type, sK1591: !>[X0: $tType]:((X0 > nat > set @ X0))).
% 181.38/27.87 thf(func_def_2207, type, sK1592: ((real > real) > real > real)).
% 181.38/27.87 thf(func_def_2208, type, sK1593: !>[X0: $tType, X1: $tType]:(((X1 > real) > (X1 > X0) > X1 > set @ X1 > (X1 > X0) > real > X1))).
% 181.38/27.87 thf(func_def_2209, type, sK1594: !>[X0: $tType, X1: $tType]:((filter @ X1 > (X1 > X0) > real))).
% 181.38/27.87 thf(func_def_2210, type, sK1595: !>[X0: $tType]:((real > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_2211, type, sK1596: !>[X0: $tType]:(((X0 > X0) > real > set @ X0 > X0 > (X0 > X0) > X0))).
% 181.38/27.87 thf(func_def_2212, type, sK1597: !>[X0: $tType, X1: $tType]:(((X1 > X0) > real > set @ X1 > X1 > (X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2213, type, sK1598: !>[X0: $tType]:(((nat > X0) > real))).
% 181.38/27.87 thf(func_def_2214, type, sK1599: !>[X0: $tType]:((nat > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_2215, type, sK1600: !>[X0: $tType]:((nat > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_2216, type, sK1601: !>[X0: $tType]:((real > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_2217, type, sK1602: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > (X2 > X1) > X2 > X0 > (X2 > X0) > X2))).
% 181.38/27.87 thf(func_def_2218, type, sK1603: !>[X0: $tType, X1: $tType]:(((X1 > X0) > real > set @ X1 > X1 > (X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2219, type, sK1604: !>[X0: $tType, X1: $tType]:(((X1 > X0) > real > set @ X1 > X1 > (X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2220, type, sK1605: !>[X0: $tType]:(((nat > X0) > real))).
% 181.38/27.87 thf(func_def_2221, type, sK1606: !>[X0: $tType]:((nat > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_2222, type, sK1607: !>[X0: $tType]:((nat > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_2223, type, sK1608: !>[X0: $tType, X1: $tType]:((filter @ X1 > X0 > (X1 > X0) > real))).
% 181.38/27.87 thf(func_def_2224, type, sK1609: !>[X0: $tType]:(((nat > X0) > real > nat))).
% 181.38/27.87 thf(func_def_2225, type, sK1610: !>[X0: $tType]:(((nat > X0) > real))).
% 181.38/27.87 thf(func_def_2226, type, sK1611: !>[X0: $tType]:(((nat > X0) > real))).
% 181.38/27.87 thf(func_def_2227, type, sK1612: !>[X0: $tType, X1: $tType]:(((X1 > X0) > real > X1 > (X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2228, type, sK1613: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1 > real))).
% 181.38/27.87 thf(func_def_2229, type, sK1614: !>[X0: $tType, X1: $tType]:((real > X0 > (X1 > X0) > X1 > X1))).
% 181.38/27.87 thf(func_def_2230, type, sK1615: !>[X0: $tType, X1: $tType]:((real > X1 > X0 > (X1 > X0) > real))).
% 181.38/27.87 thf(func_def_2231, type, sK1616: !>[X0: $tType]:((X0 > (nat > X0) > real))).
% 181.38/27.87 thf(func_def_2232, type, sK1617: !>[X0: $tType]:((nat > X0 > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_2233, type, sK1618: !>[X0: $tType]:((real > X0 > (nat > X0) > nat))).
% 181.38/27.87 thf(func_def_2234, type, sK1619: !>[X0: $tType, X1: $tType]:((real > X1 > X0 > (X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2235, type, sK1620: ((real > real) > real > real)).
% 181.38/27.87 thf(func_def_2236, type, sK1621: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.87 thf(func_def_2237, type, sK1622: !>[X0: $tType]:((X0 > X0 > X0))).
% 181.38/27.87 thf(func_def_2238, type, sK1623: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > X0))).
% 181.38/27.87 thf(func_def_2239, type, sK1624: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2240, type, sK1625: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2241, type, sK1626: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_2242, type, sK1627: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > (X1 > $o) > X0))).
% 181.38/27.87 thf(func_def_2243, type, sK1628: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > (X1 > X0) > X0))).
% 181.38/27.87 thf(func_def_2244, type, sK1629: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2245, type, sK1630: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2246, type, sK1631: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2247, type, sK1632: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2248, type, sK1633: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2249, type, sK1634: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > nat > X0))).
% 181.38/27.87 thf(func_def_2250, type, sK1635: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2251, type, sK1636: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2252, type, sK1637: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.87 thf(func_def_2253, type, sK1638: (real > (nat > real) > nat)).
% 181.38/27.87 thf(func_def_2254, type, sK1639: ((nat > real) > real)).
% 181.38/27.87 thf(func_def_2255, type, sK1640: (real > (nat > real) > nat)).
% 181.38/27.87 thf(func_def_2256, type, sK1641: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1 > X1 > nat > X1))).
% 181.38/27.87 thf(func_def_2257, type, sK1642: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 181.38/27.87 thf(func_def_2258, type, sK1643: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 181.38/27.87 thf(func_def_2259, type, sK1644: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 181.38/27.87 thf(func_def_2260, type, sK1645: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > X0 > X0 > X0))).
% 181.38/27.87 thf(func_def_2261, type, sK1646: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > X0 > X0 > X0))).
% 181.38/27.87 thf(func_def_2262, type, sK1647: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > X0 > X0 > X0))).
% 181.38/27.87 thf(func_def_2263, type, sK1648: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > X0 > X0 > X0))).
% 181.38/27.87 thf(func_def_2264, type, sK1649: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > X0 > X0 > nat))).
% 181.38/27.87 thf(func_def_2265, type, sK1650: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > X0 > X0 > X0))).
% 181.38/27.87 thf(func_def_2266, type, sK1651: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > X0 > X0 > nat))).
% 181.38/27.87 thf(func_def_2267, type, sK1652: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2268, type, sK1653: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2269, type, sK1654: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2270, type, sK1655: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 181.38/27.87 thf(func_def_2271, type, sK1656: !>[X0: $tType, X1: $tType]:((X0 > X0 > (X0 > X1) > X0))).
% 181.38/27.87 thf(func_def_2272, type, sK1657: !>[X0: $tType, X1: $tType]:((X0 > X1 > X0 > (X0 > X1) > X0))).
% 181.38/27.87 thf(func_def_2273, type, sK1658: !>[X0: $tType, X1: $tType]:((X0 > X0 > (X0 > X1) > X0))).
% 181.38/27.87 thf(func_def_2274, type, sK1659: !>[X0: $tType, X1: $tType]:((X0 > X1 > X0 > (X0 > X1) > X0))).
% 181.38/27.87 thf(func_def_2275, type, sK1660: (real > real > (real > real) > real)).
% 181.38/27.87 thf(func_def_2276, type, sK1661: (real > real > (real > real) > real)).
% 181.38/27.87 thf(func_def_2277, type, sK1662: (real > real > real > (real > real) > real)).
% 181.38/27.87 thf(func_def_2278, type, sK1663: ((real > real) > real > real > real)).
% 181.38/27.87 thf(func_def_2279, type, sK1664: !>[X0: $tType]:(((real > X0) > real > real > X0))).
% 181.38/27.87 thf(func_def_2280, type, sK1665: !>[X0: $tType]:(((real > X0) > real > real > real))).
% 181.38/27.87 thf(func_def_2281, type, sK1666: !>[X0: $tType]:((real > real > (real > X0) > X0))).
% 181.38/27.87 thf(func_def_2282, type, sK1667: !>[X0: $tType]:((real > real > (real > X0) > real))).
% 181.38/27.87 thf(func_def_2283, type, sK1668: !>[X0: $tType]:(((real > X0) > real > real > real))).
% 181.38/27.87 thf(func_def_2284, type, sK1669: !>[X0: $tType]:((real > real > (real > X0) > X0))).
% 181.38/27.87 thf(func_def_2285, type, sK1670: !>[X0: $tType]:((real > real > (real > X0) > real))).
% 181.38/27.87 thf(func_def_2286, type, sK1671: !>[X0: $tType]:(((real > X0) > real > real > real))).
% 181.38/27.87 thf(func_def_2287, type, sK1672: (real > real > (real > real) > (real > real) > real)).
% 181.38/27.87 thf(func_def_2288, type, sK1673: ((real > real) > real > real > real)).
% 181.38/27.87 thf(func_def_2289, type, sK1674: !>[X0: $tType]:((real > real > (real > X0) > X0))).
% 181.38/27.87 thf(func_def_2290, type, sK1675: !>[X0: $tType]:((X0 > real > real > (real > X0) > real))).
% 181.38/27.87 thf(func_def_2291, type, sK1676: !>[X0: $tType]:(((real > X0) > real > real > real))).
% 181.38/27.87 thf(func_def_2292, type, sK1677: (real > real > (real > real) > (real > real) > real)).
% 181.38/27.87 thf(func_def_2293, type, sK1678: !>[X0: $tType]:(((nat > X0) > X0))).
% 181.38/27.87 thf(func_def_2294, type, sK1679: ((real > real) > real > real > real)).
% 181.38/27.87 thf(func_def_2295, type, sK1680: ((real > real) > real > real > real)).
% 181.38/27.87 thf(func_def_2296, type, sK1681: ((real > real) > (real > real) > real > real > real)).
% 181.38/27.87 thf(func_def_2297, type, sK1682: (real > real > (real > real) > (real > real) > real)).
% 181.38/27.87 thf(func_def_2298, type, sK1683: (real > real > (real > real) > (real > real) > real)).
% 181.38/27.87 thf(func_def_2299, type, sK1684: (real > real > (real > real) > real)).
% 181.38/27.87 thf(func_def_2300, type, sK1685: (real > real > (real > real) > real)).
% 181.38/27.87 thf(func_def_2301, type, sK1686: ((real > real) > (real > real) > (real > real) > (real > real) > real > real > real)).
% 181.38/27.87 thf(func_def_2302, type, sK1687: !>[X0: $tType, X1: $tType]:((real > (X1 > X0) > X1 > X1))).
% 181.38/27.87 thf(func_def_2303, type, sK1688: !>[X0: $tType, X1: $tType]:((real > (X1 > X0) > X1 > X1))).
% 181.38/27.87 thf(func_def_2304, type, sK1689: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > set @ X0 > set @ X1))).
% 181.38/27.87 thf(func_def_2305, type, sK1690: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_2306, type, sK1691: (real > real > (real > real) > real)).
% 181.38/27.87 thf(func_def_2307, type, sK1692: (real > real > (real > real) > real)).
% 181.38/27.87 thf(func_def_2308, type, sK1693: (real > real > (real > real) > real)).
% 181.38/27.87 thf(func_def_2309, type, sK1694: ((real > real) > real > (real > real) > real > real)).
% 181.38/27.87 thf(func_def_2310, type, sK1695: ((real > real) > real > (real > real) > real > real)).
% 181.38/27.87 thf(func_def_2311, type, sK1696: ((real > real) > real > (real > real) > real > real)).
% 181.38/27.87 thf(func_def_2312, type, sK1697: ((real > real) > real > real > real)).
% 181.38/27.87 thf(func_def_2313, type, sK1698: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2314, type, sK1699: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2315, type, sK1700: !>[X0: $tType]:((set @ X0 > set @ set @ X0))).
% 181.38/27.87 thf(func_def_2316, type, sK1701: !>[X0: $tType]:((set @ set @ X0 > set @ X0 > set @ set @ X0))).
% 181.38/27.87 thf(func_def_2317, type, sK1702: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 181.38/27.87 thf(func_def_2318, type, sK1703: ((real > real) > real > real > real)).
% 181.38/27.87 thf(func_def_2319, type, sK1704: ((real > real) > real > real > real)).
% 181.38/27.87 thf(func_def_2320, type, sK1705: ((real > real) > real > real > real)).
% 181.38/27.87 thf(func_def_2321, type, sK1706: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_2322, type, sK1707: !>[X0: $tType, X1: $tType]:((X0 > X1 > X0 > (X0 > X1) > X0))).
% 181.38/27.87 thf(func_def_2323, type, sK1708: !>[X0: $tType, X1: $tType]:((X0 > X1 > X0 > (X0 > X1) > X0))).
% 181.38/27.87 thf(func_def_2324, type, sK1709: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2325, type, sK1710: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2326, type, sK1711: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_2327, type, sK1712: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_2328, type, sK1713: !>[X0: $tType]:(((X0 > real) > (X0 > real) > set @ X0 > set @ X0))).
% 181.38/27.87 thf(func_def_2329, type, sK1714: ((real > real) > set @ real > real)).
% 181.38/27.87 thf(func_def_2330, type, sK1715: ((real > real) > real > real > real)).
% 181.38/27.87 thf(func_def_2331, type, sK1716: ((real > real) > real > real > real)).
% 181.38/27.87 thf(func_def_2332, type, sK1717: !>[X0: $tType]:(((X0 > real) > set @ X0 > set @ X0))).
% 181.38/27.87 thf(func_def_2333, type, sK1718: !>[X0: $tType]:(((X0 > real) > (X0 > real) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2334, type, sK1719: !>[X0: $tType]:(((X0 > real) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2335, type, sK1720: !>[X0: $tType]:(((X0 > real) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2336, type, sK1721: !>[X0: $tType]:(((X0 > real) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2337, type, sK1722: !>[X0: $tType]:(((X0 > real) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2338, type, sK1723: !>[X0: $tType]:(((X0 > real) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2339, type, sK1724: !>[X0: $tType]:(((X0 > X0) > X0 > X0 > X0))).
% 181.38/27.87 thf(func_def_2340, type, sK1725: ((real > real) > set @ real > real)).
% 181.38/27.87 thf(func_def_2341, type, sK1726: (real > real > (real > real) > (real > real > real) > real)).
% 181.38/27.87 thf(func_def_2342, type, sK1727: ((real > real > real) > real > real > real)).
% 181.38/27.87 thf(func_def_2343, type, sK1728: (real > real > (real > real) > (real > real > real) > real)).
% 181.38/27.87 thf(func_def_2344, type, sK1729: ((real > real > real) > (real > real) > real > real > real)).
% 181.38/27.87 thf(func_def_2345, type, sK1730: ((real > real) > real > real > real)).
% 181.38/27.87 thf(func_def_2346, type, sK1731: ((real > real) > real > real > real)).
% 181.38/27.87 thf(func_def_2347, type, sK1732: ((real > real) > real > real > real)).
% 181.38/27.87 thf(func_def_2348, type, sK1733: ((real > real) > real > real > real)).
% 181.38/27.87 thf(func_def_2349, type, sK1734: !>[X0: $tType, X1: $tType]:((X1 > X1 > (X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2350, type, sK1735: (real > real > (real > real) > real)).
% 181.38/27.87 thf(func_def_2351, type, sK1736: ((real > real) > real > real > real)).
% 181.38/27.87 thf(func_def_2352, type, sK1737: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > list @ X0 > X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2353, type, sK1738: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > list @ X0 > X0 > X0))).
% 181.38/27.87 thf(func_def_2354, type, sK1739: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > X0 > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2355, type, sK1740: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > X0 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2356, type, sK1741: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2357, type, sK1742: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2358, type, sK1743: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2359, type, sK1744: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2360, type, sK1745: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > nat > X0))).
% 181.38/27.87 thf(func_def_2361, type, sK1746: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.87 thf(func_def_2362, type, sK1747: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2363, type, sK1748: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2364, type, sK1749: (real > (nat > real) > nat)).
% 181.38/27.87 thf(func_def_2365, type, sK1750: ((nat > real) > real)).
% 181.38/27.87 thf(func_def_2366, type, sK1751: (real > (nat > real) > nat)).
% 181.38/27.87 thf(func_def_2367, type, sK1752: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.87 thf(func_def_2368, type, sK1753: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.87 thf(func_def_2369, type, sK1754: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1 > X1 > nat > X1))).
% 181.38/27.87 thf(func_def_2370, type, sK1755: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > set @ X1 > set @ X0))).
% 181.38/27.87 thf(func_def_2371, type, sK1756: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2372, type, sK1757: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2373, type, sK1758: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2374, type, sK1759: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2375, type, sK1760: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2376, type, sK1761: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 181.38/27.87 thf(func_def_2377, type, sK1762: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 181.38/27.87 thf(func_def_2378, type, sK1763: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0))).
% 181.38/27.87 thf(func_def_2379, type, sK1764: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0))).
% 181.38/27.87 thf(func_def_2380, type, sK1765: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 181.38/27.87 thf(func_def_2381, type, sK1766: !>[X0: $tType]:((set @ set @ X0 > set @ X0 > set @ set @ X0))).
% 181.38/27.87 thf(func_def_2382, type, sK1767: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 181.38/27.87 thf(func_def_2383, type, sK1768: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2384, type, sK1769: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2385, type, sK1770: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2386, type, sK1771: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2387, type, sK1772: ((nat > real) > nat)).
% 181.38/27.87 thf(func_def_2388, type, sK1773: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2389, type, sK1774: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2390, type, sK1775: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.87 thf(func_def_2391, type, sK1776: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.87 thf(func_def_2392, type, sK1777: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2393, type, sK1778: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2394, type, sK1779: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2395, type, sK1780: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2396, type, sK1781: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2397, type, sK1782: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2398, type, sK1783: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0) > (X2 > set @ X1) > set @ X2 > X2))).
% 181.38/27.87 thf(func_def_2399, type, sK1784: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_2400, type, sK1785: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_2401, type, sK1786: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > set @ X0 > X1))).
% 181.38/27.87 thf(func_def_2402, type, sK1787: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > X1 > X0))).
% 181.38/27.87 thf(func_def_2403, type, sK1788: !>[X0: $tType]:((X0 > (X0 > X0) > nat))).
% 181.38/27.87 thf(func_def_2404, type, sK1789: ((real > real) > real)).
% 181.38/27.87 thf(func_def_2405, type, sK1790: ((real > real) > (real > real) > real)).
% 181.38/27.87 thf(func_def_2406, type, sK1791: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > X0 > X1))).
% 181.38/27.87 thf(func_def_2407, type, sK1792: (nat > set @ nat > nat)).
% 181.38/27.87 thf(func_def_2408, type, sK1793: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.87 thf(func_def_2409, type, sK1794: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.87 thf(func_def_2410, type, sK1795: !>[X0: $tType]:((set @ X0 > X0 > nat))).
% 181.38/27.87 thf(func_def_2411, type, sK1796: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.87 thf(func_def_2412, type, sK1797: !>[X0: $tType]:((set @ nat > list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2413, type, sK1798: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.87 thf(func_def_2414, type, sK1799: !>[X0: $tType]:((X0 > (X0 > X0) > nat > nat))).
% 181.38/27.87 thf(func_def_2415, type, sK1800: ((nat > nat) > (nat > real) > nat)).
% 181.38/27.87 thf(func_def_2416, type, sK1801: ((nat > real) > nat)).
% 181.38/27.87 thf(func_def_2417, type, sK1802: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2418, type, sK1803: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2419, type, sK1804: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > set @ X2 > X2))).
% 181.38/27.87 thf(func_def_2420, type, sK1805: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > set @ X2 > X2))).
% 181.38/27.87 thf(func_def_2421, type, sK1806: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0) > (X0 > X1) > set @ X2 > X2))).
% 181.38/27.87 thf(func_def_2422, type, sK1807: ((nat > real) > nat)).
% 181.38/27.87 thf(func_def_2423, type, sK1808: ((nat > real) > nat)).
% 181.38/27.87 thf(func_def_2424, type, sK1809: !>[X0: $tType, X1: $tType]:((set @ set @ X1 > (X1 > X0) > set @ X1))).
% 181.38/27.87 thf(func_def_2425, type, sK1810: !>[X0: $tType, X1: $tType]:((set @ set @ X1 > (X1 > X0) > set @ X1))).
% 181.38/27.87 thf(func_def_2426, type, sK1811: !>[X0: $tType, X1: $tType]:((set @ set @ X1 > (X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2427, type, sK1812: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 181.38/27.87 thf(func_def_2428, type, sK1813: !>[X0: $tType, X1: $tType]:(((X1 > list @ X0) > (X1 > list @ X0) > list @ X1 > X1))).
% 181.38/27.87 thf(func_def_2429, type, sK1814: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2430, type, sK1815: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2431, type, sK1816: !>[X0: $tType]:((X0 > nat))).
% 181.38/27.87 thf(func_def_2432, type, sK1817: !>[X0: $tType]:(((X0 > $o) > nat))).
% 181.38/27.87 thf(func_def_2433, type, sK1818: ((rat > $o) > int)).
% 181.38/27.87 thf(func_def_2434, type, sK1819: ((rat > $o) > int)).
% 181.38/27.87 thf(func_def_2435, type, sK1820: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2436, type, sK1821: !>[X0: $tType]:((list @ X0 > list @ X0 > nat > nat))).
% 181.38/27.87 thf(func_def_2437, type, sK1822: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2438, type, sK1823: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2439, type, sK1824: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2440, type, sK1825: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2441, type, sK1826: !>[X0: $tType, X1: $tType]:(((list @ product_prod @ X0 @ X1 > $o) > list @ X1 > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2442, type, sK1827: !>[X0: $tType, X1: $tType]:(((list @ product_prod @ X0 @ X1 > $o) > list @ X1 > list @ X0 > list @ X1))).
% 181.38/27.87 thf(func_def_2443, type, sK1828: !>[X0: $tType, X1: $tType]:(((list @ product_prod @ X0 @ X1 > $o) > list @ X1 > list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2444, type, sK1829: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X0 @ X1 > product_prod @ X0 @ X1 > list @ X1 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2445, type, sK1830: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X0 @ X1 > product_prod @ X0 @ X1 > list @ X1 > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2446, type, sK1831: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X0 @ X1 > product_prod @ X0 @ X1 > list @ X1 > list @ X0 > X1))).
% 181.38/27.87 thf(func_def_2447, type, sK1832: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X0 @ X1 > product_prod @ X0 @ X1 > list @ X1 > list @ X0 > list @ X1))).
% 181.38/27.87 thf(func_def_2448, type, sK1833: !>[X0: $tType, X1: $tType]:((X1 > list @ X1 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2449, type, sK1834: !>[X0: $tType, X1: $tType]:((X0 > list @ X1 > list @ X0 > X1))).
% 181.38/27.87 thf(func_def_2450, type, sK1835: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > product_prod @ list @ X0 @ list @ X0))).
% 181.38/27.87 thf(func_def_2451, type, sK1836: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > product_prod @ list @ X0 @ list @ X0))).
% 181.38/27.87 thf(func_def_2452, type, sK1837: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > list @ X0 > X0 > list @ X1 > X1))).
% 181.38/27.87 thf(func_def_2453, type, sK1838: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > list @ X0 > X0 > list @ X1 > list @ X1))).
% 181.38/27.87 thf(func_def_2454, type, sK1839: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > list @ X0 > list @ X1 > X1 > X0))).
% 181.38/27.87 thf(func_def_2455, type, sK1840: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > list @ X0 > list @ X1 > X1 > list @ X0))).
% 181.38/27.87 thf(func_def_2456, type, sK1841: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > list @ X0 > list @ X1 > X1))).
% 181.38/27.87 thf(func_def_2457, type, sK1842: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > list @ X0 > list @ X1 > X0))).
% 181.38/27.87 thf(func_def_2458, type, sK1843: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > list @ X0 > list @ X1 > list @ X1))).
% 181.38/27.87 thf(func_def_2459, type, sK1844: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > list @ X0 > list @ X1 > list @ X0))).
% 181.38/27.87 thf(func_def_2460, type, sK1845: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X0 > X1 > $o) > X0))).
% 181.38/27.87 thf(func_def_2461, type, sK1846: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X0 > X1 > $o) > X1))).
% 181.38/27.87 thf(func_def_2462, type, sK1847: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X0 > X1 > $o) > list @ X0))).
% 181.38/27.87 thf(func_def_2463, type, sK1848: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X0 > X1 > $o) > list @ X1))).
% 181.38/27.87 thf(func_def_2464, type, sK1849: !>[X0: $tType]:((X0 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2465, type, sK1850: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2466, type, sK1851: !>[X0: $tType]:((list @ X0 > X0 > X0))).
% 181.38/27.87 thf(func_def_2467, type, sK1852: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2468, type, sK1853: !>[X0: $tType, X1: $tType]:((X1 > list @ X1 > (X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2469, type, sK1854: !>[X0: $tType, X1: $tType]:((X1 > list @ X1 > (X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2470, type, sK1855: !>[X0: $tType, X1: $tType]:((X1 > list @ X1 > (X1 > X0) > list @ X1))).
% 181.38/27.87 thf(func_def_2471, type, sK1856: !>[X0: $tType]:((X0 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2472, type, sK1857: !>[X0: $tType, X1: $tType]:((list @ X0 > X0 > (X0 > X1) > X0))).
% 181.38/27.87 thf(func_def_2473, type, sK1858: !>[X0: $tType, X1: $tType]:((list @ X0 > X0 > (X0 > X1) > X0))).
% 181.38/27.87 thf(func_def_2474, type, sK1859: !>[X0: $tType, X1: $tType]:((list @ X0 > X0 > (X0 > X1) > list @ X0))).
% 181.38/27.87 thf(func_def_2475, type, sK1860: !>[X0: $tType, X1: $tType]:((list @ X0 > X0 > (X0 > X1) > X0))).
% 181.38/27.87 thf(func_def_2476, type, sK1861: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0))).
% 181.38/27.87 thf(func_def_2477, type, sK1862: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2478, type, sK1863: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2479, type, sK1864: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2480, type, sK1865: !>[X0: $tType]:(((X0 > X0) > X0))).
% 181.38/27.87 thf(func_def_2481, type, sK1866: !>[X0: $tType]:(((X0 > X0) > X0))).
% 181.38/27.87 thf(func_def_2482, type, sK1867: !>[X0: $tType]:(X0)).
% 181.38/27.87 thf(func_def_2483, type, sK1868: !>[X0: $tType]:(X0)).
% 181.38/27.87 thf(func_def_2484, type, sK1869: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2485, type, sK1870: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2486, type, sK1871: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2487, type, sK1872: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2488, type, sK1873: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2489, type, sK1874: !>[X0: $tType]:(((X0 > X0) > X0))).
% 181.38/27.87 thf(func_def_2490, type, sK1875: !>[X0: $tType]:(((X0 > X0) > X0))).
% 181.38/27.87 thf(func_def_2491, type, sK1876: !>[X0: $tType]:(X0)).
% 181.38/27.87 thf(func_def_2492, type, sK1877: !>[X0: $tType]:(X0)).
% 181.38/27.87 thf(func_def_2493, type, sK1878: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X1 @ X0 > list @ product_prod @ X1 @ X0 > X1))).
% 181.38/27.87 thf(func_def_2494, type, sK1879: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > list @ X0 > X0 > X1))).
% 181.38/27.87 thf(func_def_2495, type, sK1880: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > list @ X0 > X0 > list @ X1))).
% 181.38/27.87 thf(func_def_2496, type, sK1881: !>[X0: $tType, X1: $tType]:((list @ X1 > X1 > list @ X0 > (X0 > X1) > X0))).
% 181.38/27.87 thf(func_def_2497, type, sK1882: !>[X0: $tType, X1: $tType]:((list @ X1 > X1 > list @ X0 > (X0 > X1) > list @ X0))).
% 181.38/27.87 thf(func_def_2498, type, sK1883: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > list @ X1 > X1))).
% 181.38/27.87 thf(func_def_2499, type, sK1884: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > list @ X1 > X1))).
% 181.38/27.87 thf(func_def_2500, type, sK1885: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > list @ X1 > list @ X1 > X1))).
% 181.38/27.87 thf(func_def_2501, type, sK1886: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > list @ X1 > list @ X1 > X1))).
% 181.38/27.87 thf(func_def_2502, type, sK1887: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > list @ X1 > X1))).
% 181.38/27.87 thf(func_def_2503, type, sK1888: !>[X0: $tType]:(((X0 > X0) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2504, type, sK1889: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > list @ X1 > X1))).
% 181.38/27.87 thf(func_def_2505, type, sK1890: !>[X0: $tType]:(((nat > X0) > nat > list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2506, type, sK1891: !>[X0: $tType]:((nat > list @ list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2507, type, sK1892: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2508, type, sK1893: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2509, type, sK1894: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > list @ list @ X0))).
% 181.38/27.87 thf(func_def_2510, type, sK1895: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > list @ list @ X0))).
% 181.38/27.87 thf(func_def_2511, type, sK1896: !>[X0: $tType]:((list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2512, type, sK1897: !>[X0: $tType]:((list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2513, type, sK1898: !>[X0: $tType]:((list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2514, type, sK1899: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > list @ X1 > X1))).
% 181.38/27.87 thf(func_def_2515, type, sK1900: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > list @ X1 > X1))).
% 181.38/27.87 thf(func_def_2516, type, sK1901: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > list @ list @ X0))).
% 181.38/27.87 thf(func_def_2517, type, sK1902: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2518, type, sK1903: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2519, type, sK1904: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > list @ list @ X0))).
% 181.38/27.87 thf(func_def_2520, type, sK1905: !>[X0: $tType]:(((list @ list @ X0 > $o) > list @ list @ X0))).
% 181.38/27.87 thf(func_def_2521, type, sK1906: !>[X0: $tType]:(((list @ list @ X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_2522, type, sK1907: !>[X0: $tType]:(((list @ list @ X0 > $o) > list @ X0))).
% 181.38/27.87 thf(func_def_2523, type, sK1908: !>[X0: $tType]:(((list @ list @ X0 > $o) > list @ list @ X0))).
% 181.38/27.87 thf(func_def_2524, type, sK1909: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2525, type, sK1910: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2526, type, sK1911: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2527, type, sK1912: !>[X0: $tType]:((list @ X0 > X0 > list @ X0 > (X0 > $o) > list @ X0))).
% 181.38/27.87 thf(func_def_2528, type, sK1913: !>[X0: $tType]:((list @ X0 > X0 > list @ X0 > (X0 > $o) > list @ X0))).
% 181.38/27.87 thf(func_def_2529, type, sK1914: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0 > X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2530, type, sK1915: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0 > X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2531, type, sK1916: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > $o) > list @ X1 > X1))).
% 181.38/27.87 thf(func_def_2532, type, sK1917: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > (X0 > X1 > X1) > list @ X0 > X1))).
% 181.38/27.87 thf(func_def_2533, type, sK1918: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > (X0 > X1 > X1) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2534, type, sK1919: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.87 thf(func_def_2535, type, sK1920: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.87 thf(func_def_2536, type, sK1921: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_2537, type, sK1922: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 181.38/27.87 thf(func_def_2538, type, sK1923: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_2539, type, sK1924: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2540, type, sK1925: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2541, type, sK1926: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_2542, type, sK1927: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 181.38/27.87 thf(func_def_2543, type, sK1928: !>[X0: $tType]:(($o > list @ X0 > (X0 > X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_2544, type, sK1929: !>[X0: $tType]:(($o > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 181.38/27.87 thf(func_def_2545, type, sK1930: !>[X0: $tType]:((set @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2546, type, sK1931: !>[X0: $tType]:((set @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2547, type, sK1932: !>[X0: $tType]:((X0 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2548, type, sK1933: !>[X0: $tType]:(($o > list @ X0 > (X0 > X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_2549, type, sK1934: !>[X0: $tType]:(($o > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 181.38/27.87 thf(func_def_2550, type, sK1935: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_2551, type, sK1936: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 181.38/27.87 thf(func_def_2552, type, sK1937: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_2553, type, sK1938: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 181.38/27.87 thf(func_def_2554, type, sK1939: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_2555, type, sK1940: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > (X0 > X0 > $o) > list @ X1))).
% 181.38/27.87 thf(func_def_2556, type, sK1941: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2557, type, sK1942: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2558, type, sK1943: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2559, type, sK1944: !>[X0: $tType]:((list @ X0 > (X0 > $o) > nat > nat))).
% 181.38/27.87 thf(func_def_2560, type, sK1945: !>[X0: $tType]:(((X0 > $o) > list @ X0 > nat > nat))).
% 181.38/27.87 thf(func_def_2561, type, sK1946: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2562, type, sK1947: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2563, type, sK1948: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2564, type, sK1949: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_2565, type, sK1950: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2566, type, sK1951: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > set @ X0) > X0 > product_prod @ X1 @ X0))).
% 181.38/27.87 thf(func_def_2567, type, sK1952: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > (X1 > set @ X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_2568, type, sK1953: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 181.38/27.87 thf(func_def_2569, type, sK1954: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > set @ product_prod @ X1 @ X0 > set @ X1))).
% 181.38/27.87 thf(func_def_2570, type, sK1955: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > set @ product_prod @ X1 @ X0 > set @ X0))).
% 181.38/27.87 thf(func_def_2571, type, sK1956: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > product_prod @ X1 @ X0))).
% 181.38/27.87 thf(func_def_2572, type, sK1957: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2573, type, sK1958: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2574, type, sK1959: !>[X0: $tType]:(((X0 > X0) > X0))).
% 181.38/27.87 thf(func_def_2575, type, sK1960: !>[X0: $tType]:(((X0 > X0) > X0))).
% 181.38/27.87 thf(func_def_2576, type, sK1961: !>[X0: $tType]:(((X0 > X0) > X0))).
% 181.38/27.87 thf(func_def_2577, type, sK1962: !>[X0: $tType]:(((X0 > X0) > X0))).
% 181.38/27.87 thf(func_def_2578, type, sK1963: !>[X0: $tType]:(X0)).
% 181.38/27.87 thf(func_def_2579, type, sK1964: !>[X0: $tType]:(X0)).
% 181.38/27.87 thf(func_def_2580, type, sK1965: !>[X0: $tType]:(X0)).
% 181.38/27.87 thf(func_def_2581, type, sK1966: !>[X0: $tType]:(X0)).
% 181.38/27.87 thf(func_def_2582, type, sK1967: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0 > X0) > (X1 > X0 > X0) > X1))).
% 181.38/27.87 thf(func_def_2583, type, sK1968: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2584, type, sK1969: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 181.38/27.87 thf(func_def_2585, type, sK1970: !>[X0: $tType]:((set @ X0 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2586, type, sK1971: !>[X0: $tType]:((set @ X0 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2587, type, sK1972: !>[X0: $tType]:((set @ X0 > list @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2588, type, sK1973: (nat > list @ nat > nat)).
% 181.38/27.87 thf(func_def_2589, type, sK1974: (nat > list @ nat > list @ nat)).
% 181.38/27.87 thf(func_def_2590, type, sK1975: (nat > list @ nat > nat)).
% 181.38/27.87 thf(func_def_2591, type, sK1976: (nat > list @ nat > list @ nat)).
% 181.38/27.87 thf(func_def_2592, type, sK1977: !>[X0: $tType, X1: $tType]:(((X1 > X0 > X0) > list @ X1 > X1))).
% 181.38/27.87 thf(func_def_2593, type, sK1978: !>[X0: $tType, X1: $tType]:(((X1 > X0 > X0) > list @ X1 > X1))).
% 181.38/27.87 thf(func_def_2594, type, sK1979: !>[X0: $tType, X1: $tType]:(((X1 > X0 > X0) > list @ X1 > X1))).
% 181.38/27.87 thf(func_def_2595, type, sK1980: !>[X0: $tType, X1: $tType]:(((X1 > X0 > X0) > list @ X1 > X1))).
% 181.38/27.87 thf(func_def_2596, type, sK1981: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > (X0 > X1 > X1) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2597, type, sK1982: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > (X1 > $o) > (X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_2598, type, sK1983: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > (X1 > $o) > (X0 > $o) > X1))).
% 181.38/27.87 thf(func_def_2599, type, sK1984: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2600, type, sK1985: !>[X0: $tType, X1: $tType]:(((X1 > X0 > X0) > list @ X1 > X1))).
% 181.38/27.87 thf(func_def_2601, type, sK1986: !>[X0: $tType, X1: $tType]:(((X1 > X0 > X0) > list @ X1 > X1))).
% 181.38/27.87 thf(func_def_2602, type, sK1987: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X1) > (X0 > X2 > X2) > (X2 > X1) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2603, type, sK1988: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X1) > (X0 > X2 > X2) > (X2 > X1) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2604, type, sK1989: !>[X0: $tType]:((set @ X0 > nat > set @ X0))).
% 181.38/27.87 thf(func_def_2605, type, sK1990: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_2606, type, sK1991: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > (X0 > X1) > set @ X2 > set @ X0 > X2))).
% 181.38/27.87 thf(func_def_2607, type, sK1992: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > (X0 > X1) > set @ X2 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2608, type, sK1993: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2609, type, sK1994: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2610, type, sK1995: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2611, type, sK1996: !>[X0: $tType]:((set @ X0 > set @ X0))).
% 181.38/27.87 thf(func_def_2612, type, sK1997: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2613, type, sK1998: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2614, type, sK1999: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_2615, type, sK2000: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_2616, type, sK2001: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2617, type, sK2002: (real > real > rat)).
% 181.38/27.87 thf(func_def_2618, type, sK2003: !>[X0: $tType, X1: $tType]:((X0 > X1 > X1 > set @ X0 > (X0 > X1 > X1) > X1))).
% 181.38/27.87 thf(func_def_2619, type, sK2004: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X1 > list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2620, type, sK2005: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_2621, type, sK2006: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > X0))).
% 181.38/27.87 thf(func_def_2622, type, sK2007: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > X1))).
% 181.38/27.87 thf(func_def_2623, type, sK2008: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_2624, type, sK2009: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X2 > $o) > (X0 > X2 > $o) > (X1 > X0 > $o) > X1))).
% 181.38/27.87 thf(func_def_2625, type, sK2010: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X2 > $o) > (X0 > X2 > $o) > (X1 > X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_2626, type, sK2011: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X2 > $o) > (X0 > X2 > $o) > (X1 > X0 > $o) > X2))).
% 181.38/27.87 thf(func_def_2627, type, sK2012: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_2628, type, sK2013: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_2629, type, sK2014: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X0 > X1 > $o) > X0))).
% 181.38/27.87 thf(func_def_2630, type, sK2015: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X0 > X1 > $o) > list @ X0))).
% 181.38/27.87 thf(func_def_2631, type, sK2016: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X0 > X1 > $o) > X1))).
% 181.38/27.87 thf(func_def_2632, type, sK2017: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X0 > X1 > $o) > list @ X1))).
% 181.38/27.87 thf(func_def_2633, type, sK2018: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > X0))).
% 181.38/27.87 thf(func_def_2634, type, sK2019: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > list @ X0))).
% 181.38/27.87 thf(func_def_2635, type, sK2020: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > X1))).
% 181.38/27.87 thf(func_def_2636, type, sK2021: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > list @ X1))).
% 181.38/27.87 thf(func_def_2637, type, sK2022: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > X0))).
% 181.38/27.87 thf(func_def_2638, type, sK2023: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > list @ X0))).
% 181.38/27.87 thf(func_def_2639, type, sK2024: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > X1))).
% 181.38/27.87 thf(func_def_2640, type, sK2025: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > list @ X1))).
% 181.38/27.87 thf(func_def_2641, type, sK2026: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2642, type, sK2027: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X1 > list @ X0 > (X0 > X1 > $o) > X0))).
% 181.38/27.87 thf(func_def_2643, type, sK2028: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X1 > list @ X0 > (X0 > X1 > $o) > X1))).
% 181.38/27.87 thf(func_def_2644, type, sK2029: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > list @ X1 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2645, type, sK2030: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > list @ X1 > list @ X0 > X1))).
% 181.38/27.87 thf(func_def_2646, type, sK2031: !>[X0: $tType, X1: $tType]:((X1 > X1 > set @ X0 > X0 > (X0 > X1 > X1) > X1))).
% 181.38/27.87 thf(func_def_2647, type, sK2032: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X1 > list @ X0 > product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2648, type, sK2033: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > X0))).
% 181.38/27.87 thf(func_def_2649, type, sK2034: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2650, type, sK2035: !>[X0: $tType, X1: $tType]:((((X1 > option @ X0) > $o) > X1))).
% 181.38/27.87 thf(func_def_2651, type, sK2036: !>[X0: $tType, X1: $tType]:((((X1 > option @ X0) > $o) > X0))).
% 181.38/27.87 thf(func_def_2652, type, sK2037: !>[X0: $tType, X1: $tType]:((((X1 > option @ X0) > $o) > X1 > option @ X0))).
% 181.38/27.87 thf(func_def_2653, type, sK2038: !>[X0: $tType]:(((X0 > $o) > X0))).
% 181.38/27.87 thf(func_def_2654, type, sK2039: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > X0 > X1))).
% 181.38/27.87 thf(func_def_2655, type, sK2040: !>[X0: $tType, X1: $tType]:((((X1 > option @ X0) > $o) > nat > X1))).
% 181.38/27.87 thf(func_def_2656, type, sK2041: !>[X0: $tType, X1: $tType]:((((X1 > option @ X0) > $o) > nat))).
% 181.38/27.87 thf(func_def_2657, type, sK2042: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > nat > X1 > option @ X0))).
% 181.38/27.87 thf(func_def_2658, type, sK2043: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > nat))).
% 181.38/27.87 thf(func_def_2659, type, sK2044: !>[X0: $tType]:((nat > X0))).
% 181.38/27.87 thf(func_def_2660, type, sK2045: !>[X0: $tType]:(nat)).
% 181.38/27.87 thf(func_def_2661, type, sK2046: !>[X0: $tType, X1: $tType]:((list @ X1 > (X0 > X1 > $o) > list @ X0 > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2662, type, sK2047: !>[X0: $tType, X1: $tType]:((list @ X1 > (X0 > X1 > $o) > list @ X0 > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2663, type, sK2048: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2 > $o) > list @ X0 > list @ X1 > (X1 > X2) > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2664, type, sK2049: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2) > (X1 > X2 > $o) > list @ X1 > list @ X0 > list @ product_prod @ X1 @ X2))).
% 181.38/27.87 thf(func_def_2665, type, sK2050: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > $o) > (X0 > X2) > list @ X1 > list @ X0 > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2666, type, sK2051: !>[X0: $tType, X1: $tType, X2: $tType]:((list @ X1 > (X2 > X0 > $o) > (X1 > X2) > list @ X0 > list @ product_prod @ X2 @ X0))).
% 181.38/27.87 thf(func_def_2667, type, sK2052: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > $o) > (X0 > X2) > list @ X1 > list @ X0 > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2668, type, sK2053: !>[X0: $tType, X1: $tType, X2: $tType]:((list @ X1 > (X2 > X0 > $o) > (X1 > X2) > list @ X0 > list @ product_prod @ X2 @ X0))).
% 181.38/27.87 thf(func_def_2669, type, sK2054: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2 > $o) > list @ X0 > list @ X1 > (X1 > X2) > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2670, type, sK2055: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2) > (X1 > X2 > $o) > list @ X1 > list @ X0 > list @ product_prod @ X1 @ X2))).
% 181.38/27.87 thf(func_def_2671, type, sK2056: !>[X0: $tType, X1: $tType]:((nat > list @ X1 > list @ X0 > (X0 > X1 > $o) > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2672, type, sK2057: !>[X0: $tType, X1: $tType]:((nat > list @ X1 > list @ X0 > (X0 > X1 > $o) > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2673, type, sK2058: !>[X0: $tType, X1: $tType]:((list @ X1 > (X0 > X1 > $o) > list @ X0 > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2674, type, sK2059: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > X1 > $o) > list @ X1 > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2675, type, sK2060: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > (X0 > X1 > $o) > list @ X1 > list @ X0 > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2676, type, sK2061: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > list @ X0 > (X0 > X1 > $o) > list @ X1))).
% 181.38/27.87 thf(func_def_2677, type, sK2062: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > list @ X0 > (X0 > X1 > $o) > list @ X1))).
% 181.38/27.87 thf(func_def_2678, type, sK2063: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > list @ X0 > (X0 > X1 > $o) > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2679, type, sK2064: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > list @ X0 > (X0 > X1 > $o) > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2680, type, sK2065: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > list @ X0 > (X0 > X1 > $o) > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2681, type, sK2066: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0 > $o) > list @ X0 > list @ X0 > list @ X1))).
% 181.38/27.87 thf(func_def_2682, type, sK2067: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > list @ X0 > (X1 > X0 > $o) > list @ X1))).
% 181.38/27.87 thf(func_def_2683, type, sK2068: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X0 > list @ X1 > (X1 > X0 > $o) > list @ product_prod @ X1 @ X0))).
% 181.38/27.87 thf(func_def_2684, type, sK2069: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > list @ X0 > (X1 > X0 > $o) > list @ product_prod @ X1 @ X0))).
% 181.38/27.87 thf(func_def_2685, type, sK2070: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > list @ X0 > (X1 > X0 > $o) > list @ product_prod @ X1 @ X0))).
% 181.38/27.87 thf(func_def_2686, type, sK2071: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2687, type, sK2072: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2688, type, sK2073: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2689, type, sK2074: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2690, type, sK2075: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2691, type, sK2076: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2692, type, sK2077: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2693, type, sK2078: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2694, type, sK2079: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X1 > list @ X0 > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2695, type, sK2080: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X1 > list @ X0 > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2696, type, sK2081: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X1 > list @ X0 > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2697, type, sK2082: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X1 > list @ X0 > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2698, type, sK2083: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ product_prod @ X0 @ X0))).
% 181.38/27.87 thf(func_def_2699, type, sK2084: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ product_prod @ X0 @ X0))).
% 181.38/27.87 thf(func_def_2700, type, sK2085: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2701, type, sK2086: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ product_prod @ X0 @ X0))).
% 181.38/27.87 thf(func_def_2702, type, sK2087: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2703, type, sK2088: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > (X0 > X1 > $o) > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2704, type, sK2089: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > (X0 > X1 > $o) > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2705, type, sK2090: !>[X0: $tType, X1: $tType]:((nat > X0 > list @ X0 > list @ X1 > X1 > (X0 > X1 > $o) > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2706, type, sK2091: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > X0 > (X1 > X0 > $o) > list @ X1))).
% 181.38/27.87 thf(func_def_2707, type, sK2092: !>[X0: $tType, X1: $tType]:((list @ X0 > X0 > list @ X1 > (X1 > X0 > $o) > X1))).
% 181.38/27.87 thf(func_def_2708, type, sK2093: !>[X0: $tType, X1: $tType]:((list @ X0 > X0 > list @ X1 > (X1 > X0 > $o) > list @ product_prod @ X1 @ X0))).
% 181.38/27.87 thf(func_def_2709, type, sK2094: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > X0 > (X1 > X0 > $o) > list @ product_prod @ X1 @ X0))).
% 181.38/27.87 thf(func_def_2710, type, sK2095: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > X0 > (X0 > X1 > $o) > list @ X1))).
% 181.38/27.87 thf(func_def_2711, type, sK2096: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > X0 > (X0 > X1 > $o) > X1))).
% 181.38/27.87 thf(func_def_2712, type, sK2097: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > X0 > (X0 > X1 > $o) > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2713, type, sK2098: !>[X0: $tType, X1: $tType]:((list @ X1 > X0 > list @ X0 > (X0 > X1 > $o) > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2714, type, sK2099: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X0 > X1 > $o) > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2715, type, sK2100: !>[X0: $tType, X1: $tType]:((X1 > X0 > list @ X0 > list @ X1 > (X0 > X1 > $o) > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2716, type, sK2101: !>[X0: $tType, X1: $tType]:((list @ X0 > X0 > X1 > list @ X1 > (X0 > X1 > $o) > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2717, type, sK2102: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X0 > X1 > $o) > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2718, type, sK2103: !>[X0: $tType, X1: $tType]:((X1 > X0 > list @ X0 > list @ X1 > (X0 > X1 > $o) > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2719, type, sK2104: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X0 > list @ X1 > list @ X1 > (X0 > X1 > $o) > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2720, type, sK2105: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > list @ X0 > list @ X1 > list @ product_prod @ X1 @ X0))).
% 181.38/27.87 thf(func_def_2721, type, sK2106: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > list @ X0 > list @ X1 > list @ product_prod @ X1 @ X0))).
% 181.38/27.87 thf(func_def_2722, type, sK2107: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > list @ X0 > list @ X1 > list @ product_prod @ X1 @ X0))).
% 181.38/27.87 thf(func_def_2723, type, sK2108: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ product_prod @ X0 @ X0))).
% 181.38/27.87 thf(func_def_2724, type, sK2109: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X1 > list @ X0 > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2725, type, sK2110: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X1 > list @ X0 > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2726, type, sK2111: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ product_prod @ X0 @ X0))).
% 181.38/27.87 thf(func_def_2727, type, sK2112: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2728, type, sK2113: !>[X0: $tType, X1: $tType]:((list @ X1 > (X0 > X1 > $o) > list @ X0 > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2729, type, sK2114: !>[X0: $tType, X1: $tType]:((list @ X1 > (X0 > X1 > $o) > list @ X0 > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2730, type, sK2115: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > (X0 > X1 > $o) > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2731, type, sK2116: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > (X0 > X1 > $o) > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2732, type, sK2117: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > (X0 > X1 > $o) > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2733, type, sK2118: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > (X0 > X1 > $o) > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2734, type, sK2119: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0 > $o) > list @ product_prod @ X1 @ X0))).
% 181.38/27.87 thf(func_def_2735, type, sK2120: !>[X0: $tType, X1: $tType]:((list @ X1 > (X0 > X1 > $o) > list @ product_prod @ X0 @ X1))).
% 181.38/27.87 thf(func_def_2736, type, sK2121: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2737, type, sK2122: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2738, type, sK2123: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2739, type, sK2124: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2740, type, sK2125: !>[X0: $tType]:((set @ X0 > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2741, type, sK2126: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2742, type, sK2127: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2743, type, sK2128: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2744, type, sK2129: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2745, type, sK2130: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.87 thf(func_def_2746, type, sK2131: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.87 thf(func_def_2747, type, sK2132: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 181.38/27.87 thf(func_def_2748, type, sK2133: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 181.38/27.87 thf(func_def_2749, type, sK2134: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 181.38/27.87 thf(func_def_2750, type, sK2135: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.87 thf(func_def_2751, type, sK2136: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.87 thf(func_def_2752, type, sK2137: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.87 thf(func_def_2753, type, sK2138: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.87 thf(func_def_2754, type, sK2139: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.87 thf(func_def_2755, type, sK2140: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.87 thf(func_def_2756, type, sK2141: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 181.38/27.87 thf(func_def_2757, type, sK2142: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_2758, type, sK2143: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_2759, type, sK2144: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_2760, type, sK2145: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > set @ X1 > X1))).
% 181.38/27.87 thf(func_def_2761, type, sK2146: !>[X0: $tType, X1: $tType]:((set @ X1 > (set @ X0 > $o) > (X1 > X0) > set @ X0))).
% 181.38/27.87 thf(func_def_2762, type, sK2147: !>[X0: $tType, X1: $tType]:((set @ X1 > (set @ X0 > $o) > (X1 > X0) > set @ X1))).
% 181.38/27.87 thf(func_def_2763, type, sK2148: !>[X0: $tType, X1: $tType]:((set @ X1 > (set @ X0 > $o) > (X1 > X0) > set @ X1))).
% 181.38/27.87 thf(func_def_2764, type, sK2149: !>[X0: $tType, X1: $tType]:((set @ X1 > (set @ X0 > $o) > (X1 > X0) > set @ X0))).
% 181.38/27.87 thf(func_def_2765, type, sK2150: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X0 > set @ X1))).
% 181.38/27.87 thf(func_def_2766, type, sK2151: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X1))).
% 181.38/27.87 thf(func_def_2767, type, sK2152: !>[X0: $tType, X1: $tType]:((set @ X1 > (set @ X0 > $o) > (X1 > X0) > set @ X0))).
% 181.38/27.87 thf(func_def_2768, type, sK2153: !>[X0: $tType, X1: $tType]:((set @ X1 > (set @ X0 > $o) > (X1 > X0) > set @ X1))).
% 181.38/27.87 thf(func_def_2769, type, sK2154: !>[X0: $tType, X1: $tType]:((set @ X1 > (set @ X0 > $o) > (X1 > X0) > set @ X1))).
% 181.38/27.87 thf(func_def_2770, type, sK2155: !>[X0: $tType, X1: $tType]:((set @ X1 > (set @ X0 > $o) > (X1 > X0) > set @ X0))).
% 181.38/27.87 thf(func_def_2771, type, sK2156: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X1))).
% 181.38/27.87 thf(func_def_2772, type, sK2157: !>[X0: $tType]:((set @ X0 > nat > nat > X0))).
% 181.38/27.87 thf(func_def_2773, type, sK2158: !>[X0: $tType]:((set @ X0 > nat > nat))).
% 181.38/27.87 thf(func_def_2774, type, sK2159: !>[X0: $tType]:((list @ X0 > set @ X0 > list @ X0))).
% 181.38/27.87 thf(func_def_2775, type, sK2160: !>[X0: $tType]:((list @ X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2776, type, sK2161: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 181.38/27.87 thf(func_def_2777, type, sK2162: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 181.38/27.87 thf(func_def_2778, type, sK2163: !>[X0: $tType]:((list @ X0 > set @ X0 > X0))).
% 181.38/27.87 thf(func_def_2779, type, sK2164: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2780, type, sK2165: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2781, type, sK2166: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.87 thf(func_def_2782, type, sK2167: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.87 thf(func_def_2783, type, sK2168: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.87 thf(func_def_2784, type, sK2169: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.87 thf(func_def_2785, type, sK2170: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 181.38/27.87 thf(func_def_2786, type, sK2171: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 181.38/27.87 thf(func_def_2787, type, sK2172: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.87 thf(func_def_2788, type, sK2173: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.87 thf(func_def_2789, type, sK2174: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.87 thf(func_def_2790, type, sK2175: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.87 thf(func_def_2791, type, sK2176: !>[X0: $tType]:(((X0 > $o) > list @ X0 > nat > nat))).
% 181.38/27.87 thf(func_def_2792, type, sK2177: !>[X0: $tType]:((X0 > (X0 > $o) > list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2793, type, sK2178: !>[X0: $tType]:(((X0 > $o) > nat > list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2794, type, sK2179: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0 > nat))).
% 181.38/27.87 thf(func_def_2795, type, sK2180: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2796, type, sK2181: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2797, type, sK2182: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2798, type, sK2183: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2799, type, sK2184: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2800, type, sK2185: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2801, type, sK2186: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2802, type, sK2187: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2803, type, sK2188: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2804, type, sK2189: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2805, type, sK2190: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 181.38/27.87 thf(func_def_2806, type, sK2191: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2807, type, sK2192: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2808, type, sK2193: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.87 thf(func_def_2809, type, sK2194: !>[X0: $tType, X1: $tType]:(((X1 > X0) > list @ X1 > (X0 > X0 > $o) > nat))).
% 181.38/27.88 thf(func_def_2810, type, sK2195: !>[X0: $tType, X1: $tType]:(((X1 > X0) > list @ X1 > (X0 > X0 > $o) > nat))).
% 181.38/27.88 thf(func_def_2811, type, sK2196: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2812, type, sK2197: !>[X0: $tType, X1: $tType]:(((X1 > X0) > list @ X1 > (X0 > X0 > $o) > nat))).
% 181.38/27.88 thf(func_def_2813, type, sK2198: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > (X0 > X0 > $o) > nat))).
% 181.38/27.88 thf(func_def_2814, type, sK2199: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > (X0 > X0 > $o) > nat))).
% 181.38/27.88 thf(func_def_2815, type, sK2200: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_2816, type, sK2201: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_2817, type, sK2202: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2818, type, sK2203: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2819, type, sK2204: !>[X0: $tType, X1: $tType]:(((X1 > X0) > list @ X1 > nat))).
% 181.38/27.88 thf(func_def_2820, type, sK2205: !>[X0: $tType, X1: $tType]:(((X1 > X0) > list @ X1 > nat))).
% 181.38/27.88 thf(func_def_2821, type, sK2206: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2822, type, sK2207: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2823, type, sK2208: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 181.38/27.88 thf(func_def_2824, type, sK2209: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2825, type, sK2210: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2826, type, sK2211: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2827, type, sK2212: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2828, type, sK2213: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2829, type, sK2214: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2830, type, sK2215: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2831, type, sK2216: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2832, type, sK2217: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2833, type, sK2218: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2834, type, sK2219: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2835, type, sK2220: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2836, type, sK2221: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2837, type, sK2222: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2838, type, sK2223: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2839, type, sK2224: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2840, type, sK2225: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2841, type, sK2226: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2842, type, sK2227: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2843, type, sK2228: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2844, type, sK2229: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2845, type, sK2230: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2846, type, sK2231: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2847, type, sK2232: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2848, type, sK2233: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2849, type, sK2234: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2850, type, sK2235: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > X0))).
% 181.38/27.88 thf(func_def_2851, type, sK2236: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2852, type, sK2237: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2853, type, sK2238: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2854, type, sK2239: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2855, type, sK2240: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2856, type, sK2241: !>[X0: $tType]:(nat)).
% 181.38/27.88 thf(func_def_2857, type, sK2242: !>[X0: $tType]:(nat)).
% 181.38/27.88 thf(func_def_2858, type, sK2243: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2859, type, sK2244: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2860, type, sK2245: !>[X0: $tType]:(nat)).
% 181.38/27.88 thf(func_def_2861, type, sK2246: !>[X0: $tType]:(nat)).
% 181.38/27.88 thf(func_def_2862, type, sK2247: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2863, type, sK2248: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2864, type, sK2249: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2865, type, sK2250: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2866, type, sK2251: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2867, type, sK2252: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2868, type, sK2253: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2869, type, sK2254: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2870, type, sK2255: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2871, type, sK2256: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2872, type, sK2257: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2873, type, sK2258: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2874, type, sK2259: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2875, type, sK2260: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2876, type, sK2261: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2877, type, sK2262: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2878, type, sK2263: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2879, type, sK2264: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2880, type, sK2265: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2881, type, sK2266: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2882, type, sK2267: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2883, type, sK2268: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2884, type, sK2269: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2885, type, sK2270: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_2886, type, sK2271: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_2887, type, sK2272: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2888, type, sK2273: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2889, type, sK2274: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2890, type, sK2275: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2891, type, sK2276: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2892, type, sK2277: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2893, type, sK2278: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_2894, type, sK2279: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_2895, type, sK2280: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_2896, type, sK2281: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_2897, type, sK2282: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_2898, type, sK2283: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_2899, type, sK2284: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_2900, type, sK2285: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_2901, type, sK2286: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_2902, type, sK2287: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_2903, type, sK2288: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_2904, type, sK2289: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_2905, type, sK2290: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_2906, type, sK2291: (list @ nat > nat)).
% 181.38/27.88 thf(func_def_2907, type, sK2292: (list @ nat > nat)).
% 181.38/27.88 thf(func_def_2908, type, sK2293: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2909, type, sK2294: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2910, type, sK2295: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2911, type, sK2296: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2912, type, sK2297: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2913, type, sK2298: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2914, type, sK2299: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2915, type, sK2300: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2916, type, sK2301: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2917, type, sK2302: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2918, type, sK2303: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2919, type, sK2304: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_2920, type, sK2305: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_2921, type, sK2306: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2922, type, sK2307: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2923, type, sK2308: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2924, type, sK2309: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2925, type, sK2310: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2926, type, sK2311: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2927, type, sK2312: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2928, type, sK2313: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2929, type, sK2314: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2930, type, sK2315: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2931, type, sK2316: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2932, type, sK2317: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2933, type, sK2318: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2934, type, sK2319: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2935, type, sK2320: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > X0))).
% 181.38/27.88 thf(func_def_2936, type, sK2321: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2937, type, sK2322: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2938, type, sK2323: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2939, type, sK2324: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2940, type, sK2325: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2941, type, sK2326: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2942, type, sK2327: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2943, type, sK2328: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > X0))).
% 181.38/27.88 thf(func_def_2944, type, sK2329: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2945, type, sK2330: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2946, type, sK2331: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2947, type, sK2332: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2948, type, sK2333: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2949, type, sK2334: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2950, type, sK2335: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2951, type, sK2336: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2952, type, sK2337: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2953, type, sK2338: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2954, type, sK2339: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2955, type, sK2340: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2956, type, sK2341: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2957, type, sK2342: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2958, type, sK2343: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2959, type, sK2344: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2960, type, sK2345: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2961, type, sK2346: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2962, type, sK2347: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2963, type, sK2348: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2964, type, sK2349: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2965, type, sK2350: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2966, type, sK2351: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2967, type, sK2352: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2968, type, sK2353: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2969, type, sK2354: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2970, type, sK2355: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2971, type, sK2356: !>[X0: $tType]:((X0 > list @ X0 > X0 > nat))).
% 181.38/27.88 thf(func_def_2972, type, sK2357: !>[X0: $tType]:((X0 > list @ X0 > X0 > nat))).
% 181.38/27.88 thf(func_def_2973, type, sK2358: !>[X0: $tType]:((X0 > list @ X0 > X0 > nat))).
% 181.38/27.88 thf(func_def_2974, type, sK2359: !>[X0: $tType]:((X0 > list @ X0 > X0 > nat))).
% 181.38/27.88 thf(func_def_2975, type, sK2360: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2976, type, sK2361: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2977, type, sK2362: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2978, type, sK2363: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2979, type, sK2364: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2980, type, sK2365: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2981, type, sK2366: !>[X0: $tType]:((X0 > list @ X0 > X0))).
% 181.38/27.88 thf(func_def_2982, type, sK2367: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2983, type, sK2368: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2984, type, sK2369: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2985, type, sK2370: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2986, type, sK2371: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2987, type, sK2372: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2988, type, sK2373: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2989, type, sK2374: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2990, type, sK2375: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2991, type, sK2376: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 181.38/27.88 thf(func_def_2992, type, sK2377: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2993, type, sK2378: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2994, type, sK2379: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2995, type, sK2380: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2996, type, sK2381: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 181.38/27.88 thf(func_def_2997, type, sK2382: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2998, type, sK2383: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_2999, type, sK2384: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3000, type, sK2385: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3001, type, sK2386: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3002, type, sK2387: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3003, type, sK2388: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3004, type, sK2389: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3005, type, sK2390: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3006, type, sK2391: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3007, type, sK2392: !>[X0: $tType]:((X0 > list @ X0 > X0))).
% 181.38/27.88 thf(func_def_3008, type, sK2393: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3009, type, sK2394: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3010, type, sK2395: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3011, type, sK2396: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > nat))).
% 181.38/27.88 thf(func_def_3012, type, sK2397: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > nat))).
% 181.38/27.88 thf(func_def_3013, type, sK2398: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > nat))).
% 181.38/27.88 thf(func_def_3014, type, sK2399: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > nat))).
% 181.38/27.88 thf(func_def_3015, type, sK2400: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > nat))).
% 181.38/27.88 thf(func_def_3016, type, sK2401: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > nat))).
% 181.38/27.88 thf(func_def_3017, type, sK2402: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > nat))).
% 181.38/27.88 thf(func_def_3018, type, sK2403: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > nat))).
% 181.38/27.88 thf(func_def_3019, type, sK2404: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3020, type, sK2405: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3021, type, sK2406: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3022, type, sK2407: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3023, type, sK2408: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3024, type, sK2409: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3025, type, sK2410: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3026, type, sK2411: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3027, type, sK2412: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3028, type, sK2413: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3029, type, sK2414: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > X0))).
% 181.38/27.88 thf(func_def_3030, type, sK2415: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3031, type, sK2416: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3032, type, sK2417: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3033, type, sK2418: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3034, type, sK2419: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > X0))).
% 181.38/27.88 thf(func_def_3035, type, sK2420: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3036, type, sK2421: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3037, type, sK2422: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3038, type, sK2423: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3039, type, sK2424: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3040, type, sK2425: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3041, type, sK2426: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3042, type, sK2427: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > X0 > nat))).
% 181.38/27.88 thf(func_def_3043, type, sK2428: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3044, type, sK2429: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > X0 > nat))).
% 181.38/27.88 thf(func_def_3045, type, sK2430: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > X0 > X0))).
% 181.38/27.88 thf(func_def_3046, type, sK2431: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3047, type, sK2432: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3048, type, sK2433: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3049, type, sK2434: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3050, type, sK2435: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3051, type, sK2436: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3052, type, sK2437: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3053, type, sK2438: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3054, type, sK2439: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3055, type, sK2440: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3056, type, sK2441: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3057, type, sK2442: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3058, type, sK2443: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3059, type, sK2444: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3060, type, sK2445: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3061, type, sK2446: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3062, type, sK2447: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3063, type, sK2448: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3064, type, sK2449: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3065, type, sK2450: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3066, type, sK2451: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3067, type, sK2452: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3068, type, sK2453: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3069, type, sK2454: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3070, type, sK2455: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3071, type, sK2456: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3072, type, sK2457: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3073, type, sK2458: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3074, type, sK2459: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3075, type, sK2460: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3076, type, sK2461: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3077, type, sK2462: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3078, type, sK2463: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3079, type, sK2464: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3080, type, sK2465: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3081, type, sK2466: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3082, type, sK2467: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3083, type, sK2468: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3084, type, sK2469: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3085, type, sK2470: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3086, type, sK2471: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3087, type, sK2472: !>[X0: $tType, X1: $tType]:((X1 > list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3088, type, sK2473: !>[X0: $tType, X1: $tType]:((X1 > list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3089, type, sK2474: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3090, type, sK2475: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3091, type, sK2476: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3092, type, sK2477: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3093, type, sK2478: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3094, type, sK2479: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3095, type, sK2480: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3096, type, sK2481: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3097, type, sK2482: !>[X0: $tType, X1: $tType]:(((X1 > X0) > list @ X1 > (X0 > X0 > $o) > nat))).
% 181.38/27.88 thf(func_def_3098, type, sK2483: !>[X0: $tType, X1: $tType]:(((X1 > X0) > list @ X1 > (X0 > X0 > $o) > nat))).
% 181.38/27.88 thf(func_def_3099, type, sK2484: !>[X0: $tType, X1: $tType]:(((X1 > X0) > list @ X1 > (X0 > X0 > $o) > nat))).
% 181.38/27.88 thf(func_def_3100, type, sK2485: !>[X0: $tType, X1: $tType]:(((X1 > X0) > list @ X1 > (X0 > X0 > $o) > nat))).
% 181.38/27.88 thf(func_def_3101, type, sK2486: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3102, type, sK2487: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3103, type, sK2488: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3104, type, sK2489: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3105, type, sK2490: (list @ nat > nat)).
% 181.38/27.88 thf(func_def_3106, type, sK2491: (list @ nat > nat)).
% 181.38/27.88 thf(func_def_3107, type, sK2492: (list @ nat > nat)).
% 181.38/27.88 thf(func_def_3108, type, sK2493: (list @ nat > nat)).
% 181.38/27.88 thf(func_def_3109, type, sK2494: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3110, type, sK2495: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3111, type, sK2496: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3112, type, sK2497: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3113, type, sK2498: !>[X0: $tType]:((X0 > (X0 > $o) > list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.88 thf(func_def_3114, type, sK2499: !>[X0: $tType]:((X0 > (X0 > $o) > list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.88 thf(func_def_3115, type, sK2500: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 181.38/27.88 thf(func_def_3116, type, sK2501: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0 > list @ X0 > list @ X0))).
% 181.38/27.88 thf(func_def_3117, type, sK2502: !>[X0: $tType]:(((X0 > $o) > X0 > list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.88 thf(func_def_3118, type, sK2503: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 181.38/27.88 thf(func_def_3119, type, sK2504: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 181.38/27.88 thf(func_def_3120, type, sK2505: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 181.38/27.88 thf(func_def_3121, type, sK2506: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 181.38/27.88 thf(func_def_3122, type, sK2507: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3123, type, sK2508: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3124, type, sK2509: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3125, type, sK2510: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3126, type, sK2511: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3127, type, sK2512: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3128, type, sK2513: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3129, type, sK2514: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3130, type, sK2515: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 181.38/27.88 thf(func_def_3131, type, sK2516: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3132, type, sK2517: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3133, type, sK2518: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3134, type, sK2519: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3135, type, sK2520: !>[X0: $tType]:((list @ X0 > X0))).
% 181.38/27.88 thf(func_def_3136, type, sK2521: !>[X0: $tType]:((list @ X0 > X0))).
% 181.38/27.88 thf(func_def_3137, type, sK2522: !>[X0: $tType]:((list @ X0 > X0))).
% 181.38/27.88 thf(func_def_3138, type, sK2523: !>[X0: $tType, X1: $tType]:((X1 > list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3139, type, sK2524: !>[X0: $tType, X1: $tType]:((X1 > list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3140, type, sK2525: !>[X0: $tType, X1: $tType]:((X1 > list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3141, type, sK2526: !>[X0: $tType, X1: $tType]:((X1 > list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3142, type, sK2527: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3143, type, sK2528: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3144, type, sK2529: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3145, type, sK2530: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3146, type, sK2531: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3147, type, sK2532: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3148, type, sK2533: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3149, type, sK2534: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3150, type, sK2535: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1 > X0))).
% 181.38/27.88 thf(func_def_3151, type, sK2536: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X1 > list @ X0))).
% 181.38/27.88 thf(func_def_3152, type, sK2537: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X1 > X1))).
% 181.38/27.88 thf(func_def_3153, type, sK2538: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > X0 > (X1 > X0) > list @ X1))).
% 181.38/27.88 thf(func_def_3154, type, sK2539: !>[X0: $tType, X1: $tType]:((list @ X0 > X0 > list @ X1 > (X1 > X0) > X1))).
% 181.38/27.88 thf(func_def_3155, type, sK2540: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > list @ X0 > X0 > list @ X1))).
% 181.38/27.88 thf(func_def_3156, type, sK2541: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > list @ X0 > X0 > X1))).
% 181.38/27.88 thf(func_def_3157, type, sK2542: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > list @ X0 > (X1 > X0) > list @ X1))).
% 181.38/27.88 thf(func_def_3158, type, sK2543: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X0 > list @ X1 > (X1 > X0) > list @ X1))).
% 181.38/27.88 thf(func_def_3159, type, sK2544: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > list @ X0 > list @ X0 > list @ X1))).
% 181.38/27.88 thf(func_def_3160, type, sK2545: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > list @ X0 > list @ X0 > list @ X1))).
% 181.38/27.88 thf(func_def_3161, type, sK2546: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > (X1 > X0) > X1))).
% 181.38/27.88 thf(func_def_3162, type, sK2547: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 181.38/27.88 thf(func_def_3163, type, sK2548: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 181.38/27.88 thf(func_def_3164, type, sK2549: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 181.38/27.88 thf(func_def_3165, type, sK2550: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 181.38/27.88 thf(func_def_3166, type, sK2551: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 181.38/27.88 thf(func_def_3167, type, sK2552: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 181.38/27.88 thf(func_def_3168, type, sK2553: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0))).
% 181.38/27.88 thf(func_def_3169, type, sK2554: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3170, type, sK2555: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3171, type, sK2556: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0 > set @ X0))).
% 181.38/27.88 thf(func_def_3172, type, sK2557: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3173, type, sK2558: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3174, type, sK2559: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 181.38/27.88 thf(func_def_3175, type, sK2560: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 181.38/27.88 thf(func_def_3176, type, sK2561: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 181.38/27.88 thf(func_def_3177, type, sK2562: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 181.38/27.88 thf(func_def_3178, type, sK2563: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 181.38/27.88 thf(func_def_3179, type, sK2564: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 181.38/27.88 thf(func_def_3180, type, sK2565: !>[X0: $tType]:((set @ X0 > (set @ X0 > $o) > nat > X0))).
% 181.38/27.88 thf(func_def_3181, type, sK2566: !>[X0: $tType]:((set @ X0 > (set @ X0 > $o) > nat))).
% 181.38/27.88 thf(func_def_3182, type, sK2567: !>[X0: $tType, X1: $tType]:((set @ X1 > filter @ X0 > (X0 > set @ X1) > set @ X1))).
% 181.38/27.88 thf(func_def_3183, type, sK2568: !>[X0: $tType, X1: $tType]:((set @ X1 > filter @ X0 > (X0 > set @ X1) > nat > X1))).
% 181.38/27.88 thf(func_def_3184, type, sK2569: !>[X0: $tType, X1: $tType]:((set @ X1 > filter @ X0 > (X0 > set @ X1) > nat))).
% 181.38/27.88 thf(func_def_3185, type, sK2570: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 181.38/27.88 thf(func_def_3186, type, sK2571: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3187, type, sK2572: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3188, type, sK2573: !>[X0: $tType, X1: $tType]:((list @ X1 > X0 > list @ X0 > X1))).
% 181.38/27.88 thf(func_def_3189, type, sK2574: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3190, type, sK2575: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3191, type, sK2576: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3192, type, sK2577: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3193, type, sK2578: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > set @ product_prod @ X0 @ X1 > nat))).
% 181.38/27.88 thf(func_def_3194, type, sK2579: !>[X0: $tType, X1: $tType]:((list @ X0 > set @ product_prod @ X1 @ X0 > list @ X1 > list @ X0))).
% 181.38/27.88 thf(func_def_3195, type, sK2580: !>[X0: $tType, X1: $tType]:((list @ X0 > set @ product_prod @ X1 @ X0 > list @ X1 > list @ X1))).
% 181.38/27.88 thf(func_def_3196, type, sK2581: !>[X0: $tType, X1: $tType]:((list @ X0 > set @ product_prod @ X1 @ X0 > list @ X1 > X0))).
% 181.38/27.88 thf(func_def_3197, type, sK2582: !>[X0: $tType, X1: $tType]:((list @ X0 > set @ product_prod @ X1 @ X0 > list @ X1 > X1))).
% 181.38/27.88 thf(func_def_3198, type, sK2583: !>[X0: $tType, X1: $tType]:((list @ X0 > set @ product_prod @ X1 @ X0 > list @ X1 > list @ X1))).
% 181.38/27.88 thf(func_def_3199, type, sK2584: !>[X0: $tType, X1: $tType]:((list @ X0 > set @ product_prod @ X1 @ X0 > list @ X1 > X0))).
% 181.38/27.88 thf(func_def_3200, type, sK2585: !>[X0: $tType, X1: $tType]:((list @ X0 > set @ product_prod @ X1 @ X0 > list @ X1 > X1))).
% 181.38/27.88 thf(func_def_3201, type, sK2586: !>[X0: $tType, X1: $tType]:((list @ X0 > set @ product_prod @ X1 @ X0 > list @ X1 > product_prod @ X1 @ X0))).
% 181.38/27.88 thf(func_def_3202, type, sK2587: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > product_prod @ X1 @ X0 > nat))).
% 181.38/27.88 thf(func_def_3203, type, sK2588: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3204, type, sK2589: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3205, type, sK2590: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3206, type, sK2591: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3207, type, sK2592: !>[X0: $tType]:((list @ X0 > X0))).
% 181.38/27.88 thf(func_def_3208, type, sK2593: !>[X0: $tType]:((list @ X0 > X0))).
% 181.38/27.88 thf(func_def_3209, type, sK2594: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3210, type, sK2595: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3211, type, sK2596: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3212, type, sK2597: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3213, type, sK2598: !>[X0: $tType]:((nat > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3214, type, sK2599: !>[X0: $tType]:((nat > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3215, type, sK2600: !>[X0: $tType]:((list @ X0 > set @ product_prod @ X0 @ X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3216, type, sK2601: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3217, type, sK2602: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3218, type, sK2603: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3219, type, sK2604: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3220, type, sK2605: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3221, type, sK2606: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3222, type, sK2607: !>[X0: $tType]:(((product_prod @ X0 @ X0 > $o) > real))).
% 181.38/27.88 thf(func_def_3223, type, sK2608: !>[X0: $tType]:(((product_prod @ X0 @ X0 > $o) > real > X0))).
% 181.38/27.88 thf(func_def_3224, type, sK2609: !>[X0: $tType]:(((product_prod @ X0 @ X0 > $o) > real > X0))).
% 181.38/27.88 thf(func_def_3225, type, sK2610: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > set @ X2) > (X0 > set @ X3) > set @ X1 > (X2 > X3) > X0 > X1))).
% 181.38/27.88 thf(func_def_3226, type, sK2611: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > set @ X0) > set @ X2 > (X1 > set @ X3) > (X0 > X3) > set @ X1 > X1))).
% 181.38/27.88 thf(func_def_3227, type, sK2612: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > set @ X0) > set @ X2 > (X1 > set @ X3) > X2 > (X0 > X3) > set @ X1 > X0))).
% 181.38/27.88 thf(func_def_3228, type, sK2613: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > set @ X0) > set @ X2 > (X1 > set @ X3) > X1 > (X0 > X3) > X2))).
% 181.38/27.88 thf(func_def_3229, type, sK2614: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > set @ X0) > set @ X2 > (X1 > set @ X3) > (X0 > X3) > set @ X1 > X1))).
% 181.38/27.88 thf(func_def_3230, type, sK2615: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > set @ X0) > set @ X2 > (X1 > set @ X3) > X2 > (X0 > X3) > set @ X1 > X0))).
% 181.38/27.88 thf(func_def_3231, type, sK2616: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > set @ X0) > set @ X2 > (X1 > set @ X3) > X1 > (X0 > X3) > X2))).
% 181.38/27.88 thf(func_def_3232, type, sK2617: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > set @ X0) > set @ X2 > (X1 > set @ X3) > (X0 > X3) > set @ X1 > X1))).
% 181.38/27.88 thf(func_def_3233, type, sK2618: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > set @ X0) > set @ X2 > (X1 > set @ X3) > X2 > (X0 > X3) > set @ X1 > X0))).
% 181.38/27.88 thf(func_def_3234, type, sK2619: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > set @ X0) > set @ X2 > (X1 > set @ X3) > X1 > (X0 > X3) > X2))).
% 181.38/27.88 thf(func_def_3235, type, sK2620: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > set @ X0) > set @ X2 > (X1 > set @ X3) > (X0 > X3) > set @ X1 > X1))).
% 181.38/27.88 thf(func_def_3236, type, sK2621: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > set @ X0) > set @ X2 > (X1 > set @ X3) > X2 > (X0 > X3) > set @ X1 > X0))).
% 181.38/27.88 thf(func_def_3237, type, sK2622: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > set @ X0))).
% 181.38/27.88 thf(func_def_3238, type, sK2623: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > set @ X1))).
% 181.38/27.88 thf(func_def_3239, type, sK2624: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > set @ X1))).
% 181.38/27.88 thf(func_def_3240, type, sK2625: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > set @ X0))).
% 181.38/27.88 thf(func_def_3241, type, sK2626: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3242, type, sK2627: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3243, type, sK2628: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3244, type, sK2629: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3245, type, sK2630: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3246, type, sK2631: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3247, type, sK2632: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3248, type, sK2633: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3249, type, sK2634: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3250, type, sK2635: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3251, type, sK2636: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3252, type, sK2637: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3253, type, sK2638: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3254, type, sK2639: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > X0 > X1))).
% 181.38/27.88 thf(func_def_3255, type, sK2640: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > set @ X1 > X1))).
% 181.38/27.88 thf(func_def_3256, type, sK2641: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X0 > set @ X1 > X0))).
% 181.38/27.88 thf(func_def_3257, type, sK2642: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3258, type, sK2643: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3259, type, sK2644: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > X1 > X0))).
% 181.38/27.88 thf(func_def_3260, type, sK2645: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > X0 > X1))).
% 181.38/27.88 thf(func_def_3261, type, sK2646: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > set @ X1))).
% 181.38/27.88 thf(func_def_3262, type, sK2647: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > nat > set @ X0))).
% 181.38/27.88 thf(func_def_3263, type, sK2648: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3264, type, sK2649: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > nat > set @ X0))).
% 181.38/27.88 thf(func_def_3265, type, sK2650: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3266, type, sK2651: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3267, type, sK2652: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3268, type, sK2653: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > set @ X1 > nat > X0))).
% 181.38/27.88 thf(func_def_3269, type, sK2654: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > set @ X1 > nat))).
% 181.38/27.88 thf(func_def_3270, type, sK2655: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > set @ X1 > nat > X0))).
% 181.38/27.88 thf(func_def_3271, type, sK2656: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > set @ X1 > nat))).
% 181.38/27.88 thf(func_def_3272, type, sK2657: !>[X0: $tType]:((list @ X0 > list @ X0 > nat > nat))).
% 181.38/27.88 thf(func_def_3273, type, sK2658: !>[X0: $tType]:((list @ X0 > (nat > nat) > nat))).
% 181.38/27.88 thf(func_def_3274, type, sK2659: !>[X0: $tType]:((list @ X0 > (nat > nat) > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3275, type, sK2660: !>[X0: $tType]:((list @ X0 > set @ product_prod @ X0 @ X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3276, type, sK2661: !>[X0: $tType]:((list @ X0 > set @ product_prod @ X0 @ X0 > list @ X0 > X0))).
% 181.38/27.88 thf(func_def_3277, type, sK2662: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > nat > set @ X0))).
% 181.38/27.88 thf(func_def_3278, type, sK2663: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3279, type, sK2664: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > nat > set @ X0))).
% 181.38/27.88 thf(func_def_3280, type, sK2665: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3281, type, sK2666: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > set @ X0 > nat > X1))).
% 181.38/27.88 thf(func_def_3282, type, sK2667: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3283, type, sK2668: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > set @ X0 > nat > X1))).
% 181.38/27.88 thf(func_def_3284, type, sK2669: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3285, type, sK2670: !>[X0: $tType]:((product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0 > nat))).
% 181.38/27.88 thf(func_def_3286, type, sK2671: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > X0))).
% 181.38/27.88 thf(func_def_3287, type, sK2672: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > nat > X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3288, type, sK2673: !>[X0: $tType]:(((nat > X0) > set @ product_prod @ X0 @ X0 > nat > nat))).
% 181.38/27.88 thf(func_def_3289, type, sK2674: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > nat > product_prod @ X0 @ X0))).
% 181.38/27.88 thf(func_def_3290, type, sK2675: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > nat))).
% 181.38/27.88 thf(func_def_3291, type, sK2676: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 181.38/27.88 thf(func_def_3292, type, sK2677: !>[X0: $tType]:((list @ X0 > X0))).
% 181.38/27.88 thf(func_def_3293, type, sK2678: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 181.38/27.88 thf(func_def_3294, type, sK2679: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 181.38/27.88 thf(func_def_3295, type, sK2680: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 181.38/27.88 thf(func_def_3296, type, sK2681: !>[X0: $tType]:((X0 > X0 > (X0 > $o) > X0))).
% 181.38/27.88 thf(func_def_3297, type, sK2682: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 181.38/27.88 thf(func_def_3298, type, sK2683: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > X0))).
% 181.38/27.88 thf(func_def_3299, type, sK2684: !>[X0: $tType, X1: $tType]:((X1 > filter @ X0 > (X0 > X1) > X1))).
% 181.38/27.88 thf(func_def_3300, type, sK2685: !>[X0: $tType, X1: $tType]:((filter @ X0 > (X0 > X1) > X1))).
% 181.38/27.88 thf(func_def_3301, type, sK2686: !>[X0: $tType, X1: $tType]:((X1 > filter @ X0 > (X0 > X1) > X1))).
% 181.38/27.88 thf(func_def_3302, type, sK2687: !>[X0: $tType, X1: $tType]:((filter @ X0 > (X0 > X1) > X1))).
% 181.38/27.88 thf(func_def_3303, type, sK2688: !>[X0: $tType]:(((X0 > $o) > X0))).
% 181.38/27.88 thf(func_def_3304, type, sK2689: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 181.38/27.88 thf(func_def_3305, type, sK2690: !>[X0: $tType]:(((X0 > $o) > X0))).
% 181.38/27.88 thf(func_def_3306, type, sK2691: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 181.38/27.88 thf(func_def_3307, type, sK2692: !>[X0: $tType]:(((nat > X0) > real > X0 > nat))).
% 181.38/27.88 thf(func_def_3308, type, sK2693: !>[X0: $tType]:(((nat > X0) > X0 > real))).
% 181.38/27.88 thf(func_def_3309, type, sK2694: !>[X0: $tType]:(((nat > X0) > nat > X0 > nat))).
% 181.38/27.88 thf(func_def_3310, type, sK2695: !>[X0: $tType]:(((nat > X0) > real))).
% 181.38/27.88 thf(func_def_3311, type, sK2696: !>[X0: $tType]:(((nat > X0) > X0))).
% 181.38/27.88 thf(func_def_3312, type, sK2697: !>[X0: $tType]:(((nat > X0) > X0 > real > nat))).
% 181.38/27.88 thf(func_def_3313, type, sK2698: !>[X0: $tType]:(((nat > X0) > real))).
% 181.38/27.88 thf(func_def_3314, type, sK2699: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.88 thf(func_def_3315, type, sK2700: !>[X0: $tType]:(((nat > X0) > nat > real > nat))).
% 181.38/27.88 thf(func_def_3316, type, sK2701: !>[X0: $tType]:(((nat > X0) > real > X0 > nat))).
% 181.38/27.88 thf(func_def_3317, type, sK2702: !>[X0: $tType]:(((nat > X0) > X0 > real))).
% 181.38/27.88 thf(func_def_3318, type, sK2703: !>[X0: $tType]:(((nat > X0) > nat > X0 > nat))).
% 181.38/27.88 thf(func_def_3319, type, sK2704: !>[X0: $tType, X1: $tType]:((real > X1 > X0 > (X1 > X0) > real))).
% 181.38/27.88 thf(func_def_3320, type, sK2705: !>[X0: $tType, X1: $tType]:((X1 > X0 > (X1 > X0) > real))).
% 181.38/27.88 thf(func_def_3321, type, sK2706: !>[X0: $tType, X1: $tType]:((real > X1 > X0 > (X1 > X0) > X1))).
% 181.38/27.88 thf(func_def_3322, type, sK2707: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.88 thf(func_def_3323, type, sK2708: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 181.38/27.88 thf(func_def_3324, type, sK2709: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.88 thf(func_def_3325, type, sK2710: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 181.38/27.88 thf(func_def_3326, type, sK2711: !>[X0: $tType]:(((nat > X0) > real))).
% 181.38/27.88 thf(func_def_3327, type, sK2712: !>[X0: $tType]:(((nat > X0) > real > nat))).
% 181.38/27.88 thf(func_def_3328, type, sK2713: !>[X0: $tType, X1: $tType]:((filter @ X0 > X1 > (X0 > X1) > real))).
% 181.38/27.88 thf(func_def_3329, type, sK2714: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0 > real))).
% 181.38/27.88 thf(func_def_3330, type, sK2715: !>[X0: $tType]:((real > (X0 > $o) > set @ X0 > X0 > X0))).
% 181.38/27.88 thf(func_def_3331, type, sK2716: !>[X0: $tType]:(((X0 > $o) > X0 > real))).
% 181.38/27.88 thf(func_def_3332, type, sK2717: !>[X0: $tType]:(((X0 > $o) > real > X0 > X0))).
% 181.38/27.88 thf(func_def_3333, type, sK2718: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0 > real))).
% 181.38/27.88 thf(func_def_3334, type, sK2719: !>[X0: $tType]:((real > (X0 > $o) > set @ X0 > X0 > X0))).
% 181.38/27.88 thf(func_def_3335, type, sK2720: !>[X0: $tType, X1: $tType]:((filter @ X0 > (X0 > X1) > real > real))).
% 181.38/27.88 thf(func_def_3336, type, sK2721: !>[X0: $tType]:(((X0 > $o) > real))).
% 181.38/27.88 thf(func_def_3337, type, sK2722: !>[X0: $tType]:(((X0 > $o) > real > X0))).
% 181.38/27.88 thf(func_def_3338, type, sK2723: !>[X0: $tType]:(((X0 > $o) > real))).
% 181.38/27.88 thf(func_def_3339, type, sK2724: !>[X0: $tType]:(((X0 > $o) > real > X0))).
% 181.38/27.88 thf(func_def_3340, type, sK2725: !>[X0: $tType]:(((nat > X0) > set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3341, type, sK2726: !>[X0: $tType]:(((nat > X0) > X0 > set @ X0))).
% 181.38/27.88 thf(func_def_3342, type, sK2727: !>[X0: $tType]:(((nat > X0) > nat > X0 > nat))).
% 181.38/27.88 thf(func_def_3343, type, sK2728: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1 > X1 > X0))).
% 181.38/27.88 thf(func_def_3344, type, sK2729: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > (X1 > X0) > set @ X1 > X1 > X1))).
% 181.38/27.88 thf(func_def_3345, type, sK2730: !>[X0: $tType, X1: $tType]:((X1 > (X1 > X0) > (X1 > X0) > X1 > X0))).
% 181.38/27.88 thf(func_def_3346, type, sK2731: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1 > (X1 > X0) > (X1 > X0) > X1))).
% 181.38/27.88 thf(func_def_3347, type, sK2732: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > filter @ X0) > set @ X1 > X1))).
% 181.38/27.88 thf(func_def_3348, type, sK2733: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > filter @ X0) > set @ X1 > X1))).
% 181.38/27.88 thf(func_def_3349, type, sK2734: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > filter @ X0) > set @ X1 > X1))).
% 181.38/27.88 thf(func_def_3350, type, sK2735: !>[X0: $tType]:(((X0 > $o) > set @ filter @ X0 > set @ filter @ X0))).
% 181.38/27.88 thf(func_def_3351, type, sK2736: !>[X0: $tType]:(((X0 > $o) > set @ filter @ X0 > nat > filter @ X0))).
% 181.38/27.88 thf(func_def_3352, type, sK2737: !>[X0: $tType]:(((X0 > $o) > set @ filter @ X0 > nat))).
% 181.38/27.88 thf(func_def_3353, type, sK2738: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > filter @ X0) > (X0 > $o) > set @ X1))).
% 181.38/27.88 thf(func_def_3354, type, sK2739: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > filter @ X0) > (X0 > $o) > nat > X1))).
% 181.38/27.88 thf(func_def_3355, type, sK2740: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > filter @ X0) > (X0 > $o) > nat))).
% 181.38/27.88 thf(func_def_3356, type, sK2741: !>[X0: $tType, X1: $tType]:((X1 > filter @ X0 > (X0 > X1) > X1))).
% 181.38/27.88 thf(func_def_3357, type, sK2742: !>[X0: $tType]:((set @ filter @ X0 > (X0 > $o) > filter @ X0))).
% 181.38/27.88 thf(func_def_3358, type, sK2743: !>[X0: $tType]:((set @ filter @ X0 > (X0 > $o) > filter @ X0))).
% 181.38/27.88 thf(func_def_3359, type, sK2744: !>[X0: $tType]:((set @ filter @ X0 > (X0 > $o) > filter @ X0))).
% 181.38/27.88 thf(func_def_3360, type, sK2745: !>[X0: $tType, X1: $tType]:((filter @ X0 > (X0 > X1) > X1))).
% 181.38/27.88 thf(func_def_3361, type, sK2746: !>[X0: $tType, X1: $tType]:((X1 > filter @ X0 > (X0 > X1) > X1))).
% 181.38/27.88 thf(func_def_3362, type, sK2747: !>[X0: $tType, X1: $tType]:((filter @ X0 > (X0 > X1) > X1))).
% 181.38/27.88 thf(func_def_3363, type, sK2748: !>[X0: $tType, X1: $tType]:((filter @ X0 > X1 > (X0 > X1) > X1))).
% 181.38/27.88 thf(func_def_3364, type, sK2749: !>[X0: $tType, X1: $tType]:((filter @ X0 > X1 > (X0 > X1) > X1))).
% 181.38/27.88 thf(func_def_3365, type, sK2750: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 181.38/27.88 thf(func_def_3366, type, sK2751: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > X0))).
% 181.38/27.88 thf(func_def_3367, type, sK2752: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 181.38/27.88 thf(func_def_3368, type, sK2753: !>[X0: $tType]:((X0 > (X0 > $o) > X0 > X0))).
% 181.38/27.88 thf(func_def_3369, type, sK2754: !>[X0: $tType]:(((X0 > $o) > X0))).
% 181.38/27.88 thf(func_def_3370, type, sK2755: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 181.38/27.88 thf(func_def_3371, type, sK2756: !>[X0: $tType, X1: $tType]:((filter @ X1 > (X1 > X0 > $o) > X1 > X0))).
% 181.38/27.88 thf(func_def_3372, type, sK2757: !>[X0: $tType]:(((X0 > $o) > X0))).
% 181.38/27.88 thf(func_def_3373, type, sK2758: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 181.38/27.88 thf(func_def_3374, type, sK2759: !>[X0: $tType]:(((X0 > $o) > X0))).
% 181.38/27.88 thf(func_def_3375, type, sK2760: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 181.38/27.88 thf(func_def_3376, type, sK2761: ((nat > $o) > nat)).
% 181.38/27.88 thf(func_def_3377, type, sK2762: (nat > (nat > $o) > nat)).
% 181.38/27.88 thf(func_def_3378, type, sK2763: (filter @ nat > nat)).
% 181.38/27.88 thf(func_def_3379, type, sK2764: !>[X0: $tType]:(((nat > X0) > real > X0 > nat))).
% 181.38/27.88 thf(func_def_3380, type, sK2765: !>[X0: $tType]:(((nat > X0) > X0 > real))).
% 181.38/27.88 thf(func_def_3381, type, sK2766: !>[X0: $tType]:(((nat > X0) > nat > X0 > nat))).
% 181.38/27.88 thf(func_def_3382, type, sK2767: !>[X0: $tType, X1: $tType]:((real > X1 > X0 > (X1 > X0) > real))).
% 181.38/27.88 thf(func_def_3383, type, sK2768: !>[X0: $tType, X1: $tType]:((X1 > X0 > (X1 > X0) > real))).
% 181.38/27.88 thf(func_def_3384, type, sK2769: !>[X0: $tType, X1: $tType]:((real > X1 > X0 > (X1 > X0) > X1))).
% 181.38/27.88 thf(func_def_3385, type, sK2770: !>[X0: $tType]:((list @ X0 > nat > list @ X0))).
% 181.38/27.88 thf(func_def_3386, type, sK2771: !>[X0: $tType]:((list @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3387, type, sK2772: !>[X0: $tType]:((X0 > list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.88 thf(func_def_3388, type, sK2773: !>[X0: $tType]:((X0 > list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.88 thf(func_def_3389, type, sK2774: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 181.38/27.88 thf(func_def_3390, type, sK2775: !>[X0: $tType]:((list @ X0 > X0))).
% 181.38/27.88 thf(func_def_3391, type, sK2776: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 181.38/27.88 thf(func_def_3392, type, sK2777: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3393, type, sK2778: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3394, type, sK2779: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3395, type, sK2780: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3396, type, sK2781: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3397, type, sK2782: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3398, type, sK2783: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3399, type, sK2784: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3400, type, sK2785: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3401, type, sK2786: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3402, type, sK2787: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.88 thf(func_def_3403, type, sK2788: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 181.38/27.88 thf(func_def_3404, type, sK2789: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 181.38/27.88 thf(func_def_3405, type, sK2790: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 181.38/27.88 thf(func_def_3406, type, sK2791: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 181.38/27.88 thf(func_def_3407, type, sK2792: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 181.38/27.88 thf(func_def_3408, type, sK2793: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 181.38/27.88 thf(func_def_3409, type, sK2794: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 181.38/27.88 thf(func_def_3410, type, sK2795: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 181.38/27.88 thf(func_def_3411, type, sK2796: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 181.38/27.88 thf(func_def_3412, type, sK2797: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 181.38/27.88 thf(func_def_3413, type, sK2798: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 181.38/27.88 thf(func_def_3414, type, sK2799: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 181.38/27.88 thf(func_def_3415, type, sK2800: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 181.38/27.88 thf(func_def_3416, type, sK2801: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 181.38/27.88 thf(func_def_3417, type, sK2802: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 181.38/27.88 thf(func_def_3418, type, sK2803: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 181.38/27.88 thf(func_def_3419, type, sK2804: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 181.38/27.88 thf(func_def_3420, type, sK2805: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 181.38/27.88 thf(func_def_3421, type, sK2806: !>[X0: $tType]:((list @ X0 > X0 > list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.88 thf(func_def_3422, type, sK2807: !>[X0: $tType]:((list @ X0 > list @ X0 > X0 > list @ X0 > list @ X0))).
% 181.38/27.88 thf(func_def_3423, type, sK2808: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ list @ X0))).
% 181.38/27.88 thf(func_def_3424, type, sK2809: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.88 thf(func_def_3425, type, sK2810: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 181.38/27.88 thf(func_def_3426, type, sK2811: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ list @ X0))).
% 181.38/27.88 thf(func_def_3427, type, sK2812: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3428, type, sK2813: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3429, type, sK2814: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3430, type, sK2815: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3431, type, sK2816: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3432, type, sK2817: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3433, type, sK2818: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3434, type, sK2819: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3435, type, sK2820: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3436, type, sK2821: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3437, type, sK2822: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3438, type, sK2823: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 181.38/27.88 thf(func_def_3439, type, sK2824: !>[X0: $tType]:((nat > list @ X0 > X0))).
% 181.38/27.88 thf(func_def_3440, type, sK2825: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3441, type, sK2826: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3442, type, sK2827: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3443, type, sK2828: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3444, type, sK2829: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3445, type, sK2830: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3446, type, sK2831: !>[X0: $tType]:((list @ X0 > nat > list @ X0))).
% 181.38/27.88 thf(func_def_3447, type, sK2832: !>[X0: $tType]:((list @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3448, type, sK2833: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 181.38/27.88 thf(func_def_3449, type, sK2834: !>[X0: $tType]:((nat > list @ X0 > X0))).
% 181.38/27.88 thf(func_def_3450, type, sK2835: !>[X0: $tType]:((X0 > list @ X0 > X0 > nat))).
% 181.38/27.88 thf(func_def_3451, type, sK2836: !>[X0: $tType]:((X0 > list @ X0 > X0 > nat))).
% 181.38/27.88 thf(func_def_3452, type, sK2837: !>[X0: $tType]:((X0 > list @ X0 > X0 > nat))).
% 181.38/27.88 thf(func_def_3453, type, sK2838: !>[X0: $tType]:((X0 > list @ X0 > X0 > nat))).
% 181.38/27.88 thf(func_def_3454, type, sK2839: !>[X0: $tType]:((X0 > list @ X0 > X0 > nat))).
% 181.38/27.88 thf(func_def_3455, type, sK2840: !>[X0: $tType]:((X0 > list @ X0 > X0 > nat))).
% 181.38/27.88 thf(func_def_3456, type, sK2841: !>[X0: $tType]:((list @ X0 > X0 > nat))).
% 181.38/27.88 thf(func_def_3457, type, sK2842: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3458, type, sK2843: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3459, type, sK2844: !>[X0: $tType]:((list @ X0 > X0 > nat))).
% 181.38/27.88 thf(func_def_3460, type, sK2845: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3461, type, sK2846: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 181.38/27.88 thf(func_def_3462, type, sK2847: !>[X0: $tType]:((list @ X0 > X0))).
% 181.38/27.88 thf(func_def_3463, type, sK2848: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3464, type, sK2849: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3465, type, sK2850: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3466, type, sK2851: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3467, type, sK2852: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3468, type, sK2853: !>[X0: $tType]:((list @ X0 > list @ X0 > nat > list @ X0))).
% 181.38/27.88 thf(func_def_3469, type, sK2854: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3470, type, sK2855: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3471, type, sK2856: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3472, type, sK2857: !>[X0: $tType]:((nat > X0))).
% 181.38/27.88 thf(func_def_3473, type, sK2858: !>[X0: $tType]:(nat)).
% 181.38/27.88 thf(func_def_3474, type, sK2859: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3475, type, sK2860: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3476, type, sK2861: !>[X0: $tType, X1: $tType]:((X1 > set @ X0 > (X0 > X1) > X0))).
% 181.38/27.88 thf(func_def_3477, type, sK2862: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X1))).
% 181.38/27.88 thf(func_def_3478, type, sK2863: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 181.38/27.88 thf(func_def_3479, type, sK2864: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.88 thf(func_def_3480, type, sK2865: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3481, type, sK2866: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3482, type, sK2867: !>[X0: $tType]:((set @ filter @ X0 > nat > filter @ X0))).
% 181.38/27.88 thf(func_def_3483, type, sK2868: !>[X0: $tType]:((set @ filter @ X0 > nat))).
% 181.38/27.88 thf(func_def_3484, type, sK2869: !>[X0: $tType, X1: $tType]:(((X1 > filter @ X0) > set @ X1 > X1))).
% 181.38/27.88 thf(func_def_3485, type, sK2870: !>[X0: $tType, X1: $tType]:(((X1 > filter @ X0) > set @ X1 > X1))).
% 181.38/27.88 thf(func_def_3486, type, sK2871: !>[X0: $tType, X1: $tType]:(((X1 > filter @ X0) > set @ X1 > X1))).
% 181.38/27.88 thf(func_def_3487, type, sK2872: !>[X0: $tType, X1: $tType]:(((X0 > filter @ X1) > set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3488, type, sK2873: !>[X0: $tType, X1: $tType]:(((X0 > filter @ X1) > set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3489, type, sK2874: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > set @ X0) > set @ X0 > X1))).
% 181.38/27.88 thf(func_def_3490, type, sK2875: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > (X1 > set @ X0) > X1))).
% 181.38/27.88 thf(func_def_3491, type, sK2876: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 181.38/27.88 thf(func_def_3492, type, sK2877: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 181.38/27.88 thf(func_def_3493, type, sK2878: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3494, type, sK2879: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3495, type, sK2880: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3496, type, sK2881: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3497, type, sK2882: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3498, type, sK2883: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3499, type, sK2884: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3500, type, sK2885: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3501, type, sK2886: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 181.38/27.88 thf(func_def_3502, type, sK2887: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 181.38/27.88 thf(func_def_3503, type, sK2888: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 181.38/27.88 thf(func_def_3504, type, sK2889: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3505, type, sK2890: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3506, type, sK2891: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3507, type, sK2892: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3508, type, sK2893: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3509, type, sK2894: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3510, type, sK2895: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3511, type, sK2896: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3512, type, sK2897: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3513, type, sK2898: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3514, type, sK2899: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3515, type, sK2900: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3516, type, sK2901: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3517, type, sK2902: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3518, type, sK2903: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3519, type, sK2904: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3520, type, sK2905: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3521, type, sK2906: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3522, type, sK2907: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3523, type, sK2908: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > set @ X1 > X1))).
% 181.38/27.88 thf(func_def_3524, type, sK2909: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > set @ X1 > X1))).
% 181.38/27.88 thf(func_def_3525, type, sK2910: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > set @ X1 > X1))).
% 181.38/27.88 thf(func_def_3526, type, sK2911: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > set @ X1 > X1))).
% 181.38/27.88 thf(func_def_3527, type, sK2912: !>[X0: $tType, X1: $tType]:((X1 > set @ X0 > (X0 > X1) > X0))).
% 181.38/27.88 thf(func_def_3528, type, sK2913: !>[X0: $tType, X1: $tType]:((X1 > set @ X0 > (X0 > X1) > X1))).
% 181.38/27.88 thf(func_def_3529, type, sK2914: !>[X0: $tType, X1: $tType]:((X1 > set @ X0 > (X0 > X1) > X0))).
% 181.38/27.88 thf(func_def_3530, type, sK2915: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X1 > X1))).
% 181.38/27.88 thf(func_def_3531, type, sK2916: !>[X0: $tType]:((nat > (nat > X0) > nat > X0))).
% 181.38/27.88 thf(func_def_3532, type, sK2917: !>[X0: $tType]:((nat > (nat > X0) > nat))).
% 181.38/27.88 thf(func_def_3533, type, sK2918: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > (X1 > X0) > X1))).
% 181.38/27.88 thf(func_def_3534, type, sK2919: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X0 > X1))).
% 181.38/27.88 thf(func_def_3535, type, sK2920: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X0 > X1))).
% 181.38/27.88 thf(func_def_3536, type, sK2921: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > (X1 > X0) > X1))).
% 181.38/27.88 thf(func_def_3537, type, sK2922: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3538, type, sK2923: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3539, type, sK2924: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > nat > X1))).
% 181.38/27.88 thf(func_def_3540, type, sK2925: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3541, type, sK2926: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > set @ X1))).
% 181.38/27.88 thf(func_def_3542, type, sK2927: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > nat > X1))).
% 181.38/27.88 thf(func_def_3543, type, sK2928: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3544, type, sK2929: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > set @ X0))).
% 181.38/27.88 thf(func_def_3545, type, sK2930: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > nat > X0))).
% 181.38/27.88 thf(func_def_3546, type, sK2931: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3547, type, sK2932: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > set @ X0))).
% 181.38/27.88 thf(func_def_3548, type, sK2933: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > nat > X0))).
% 181.38/27.88 thf(func_def_3549, type, sK2934: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3550, type, sK2935: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > set @ X1))).
% 181.38/27.88 thf(func_def_3551, type, sK2936: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > nat > X1))).
% 181.38/27.88 thf(func_def_3552, type, sK2937: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3553, type, sK2938: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > set @ X1))).
% 181.38/27.88 thf(func_def_3554, type, sK2939: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > (X1 > X0) > X1))).
% 181.38/27.88 thf(func_def_3555, type, sK2940: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > set @ X0))).
% 181.38/27.88 thf(func_def_3556, type, sK2941: !>[X0: $tType, X1: $tType]:(((set @ X0 > $o) > set @ X1 > (X1 > X0) > set @ X1))).
% 181.38/27.88 thf(func_def_3557, type, sK2942: !>[X0: $tType, X1: $tType]:((X1 > set @ X0 > (X0 > X1) > X0))).
% 181.38/27.88 thf(func_def_3558, type, sK2943: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X1))).
% 181.38/27.88 thf(func_def_3559, type, sK2944: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3560, type, sK2945: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3561, type, sK2946: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3562, type, sK2947: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3563, type, sK2948: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3564, type, sK2949: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3565, type, sK2950: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3566, type, sK2951: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3567, type, sK2952: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3568, type, sK2953: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3569, type, sK2954: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3570, type, sK2955: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3571, type, sK2956: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3572, type, sK2957: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3573, type, sK2958: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3574, type, sK2959: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3575, type, sK2960: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3576, type, sK2961: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3577, type, sK2962: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3578, type, sK2963: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3579, type, sK2964: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3580, type, sK2965: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3581, type, sK2966: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3582, type, sK2967: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3583, type, sK2968: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3584, type, sK2969: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3585, type, sK2970: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3586, type, sK2971: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3587, type, sK2972: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3588, type, sK2973: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3589, type, sK2974: (int > int > nat > int)).
% 181.38/27.88 thf(func_def_3590, type, sK2975: (int > int > nat)).
% 181.38/27.88 thf(func_def_3591, type, sK2976: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3592, type, sK2977: !>[X0: $tType]:((list @ list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3593, type, sK2978: !>[X0: $tType]:((X0 > X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3594, type, sK2979: !>[X0: $tType]:((X0 > X0 > nat))).
% 181.38/27.88 thf(func_def_3595, type, sK2980: (nat > nat > nat > nat)).
% 181.38/27.88 thf(func_def_3596, type, sK2981: (nat > nat > nat)).
% 181.38/27.88 thf(func_def_3597, type, sK2982: !>[X0: $tType, X1: $tType]:((list @ X1 > X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3598, type, sK2983: !>[X0: $tType, X1: $tType]:((list @ X1 > X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3599, type, sK2984: !>[X0: $tType, X1: $tType]:((list @ X1 > X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3600, type, sK2985: !>[X0: $tType, X1: $tType]:((list @ X1 > X1 > (X1 > X0) > nat))).
% 181.38/27.88 thf(func_def_3601, type, sK2986: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3602, type, sK2987: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3603, type, sK2988: (nat > vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.88 thf(func_def_3604, type, sK2989: (nat > list @ vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.88 thf(func_def_3605, type, sK2990: (nat > vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.88 thf(func_def_3606, type, sK2991: (nat > vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.88 thf(func_def_3607, type, sK2992: (nat > vEBT_VEBT > vEBT_VEBT)).
% 181.38/27.88 thf(func_def_3608, type, sK2993: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3609, type, sK2994: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3610, type, sK2995: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3611, type, sK2996: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3612, type, sK2997: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 181.38/27.88 thf(func_def_3613, type, sK2998: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 181.38/27.88 thf(func_def_3614, type, sK2999: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.88 thf(func_def_3615, type, sK3000: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.88 thf(func_def_3616, type, sK3001: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 181.38/27.88 thf(func_def_3617, type, sK3002: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.88 thf(func_def_3618, type, sK3003: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 181.38/27.88 thf(func_def_3619, type, sK3004: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 181.38/27.88 thf(func_def_3620, type, sK3005: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 181.38/27.88 thf(func_def_3621, type, sK3006: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.88 thf(func_def_3622, type, sK3007: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 181.38/27.88 thf(func_def_3623, type, sK3008: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 181.38/27.88 thf(func_def_3624, type, sK3009: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > nat > set @ X0))).
% 181.38/27.88 thf(func_def_3625, type, sK3010: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3626, type, sK3011: (nat > nat > nat > nat)).
% 181.38/27.88 thf(func_def_3627, type, sK3012: (nat > nat > nat)).
% 181.38/27.88 thf(func_def_3628, type, sK3013: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3629, type, sK3014: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3630, type, sK3015: !>[X0: $tType]:((X0 > X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3631, type, sK3016: !>[X0: $tType]:((X0 > X0 > nat))).
% 181.38/27.88 thf(func_def_3632, type, sK3017: (int > int > nat > int)).
% 181.38/27.88 thf(func_def_3633, type, sK3018: (int > int > nat)).
% 181.38/27.88 thf(func_def_3634, type, sK3019: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3635, type, sK3020: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3636, type, sK3021: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3637, type, sK3022: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3638, type, sK3023: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3639, type, sK3024: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3640, type, sK3025: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3641, type, sK3026: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3642, type, sK3027: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3643, type, sK3028: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3644, type, sK3029: !>[X0: $tType]:((nat > nat > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3645, type, sK3030: !>[X0: $tType]:((nat > nat > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3646, type, sK3031: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3647, type, sK3032: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3648, type, sK3033: (int > int > int > int)).
% 181.38/27.88 thf(func_def_3649, type, sK3034: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3650, type, sK3035: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3651, type, sK3036: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3652, type, sK3037: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3653, type, sK3038: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3654, type, sK3039: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3655, type, sK3040: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.88 thf(func_def_3656, type, sK3041: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.88 thf(func_def_3657, type, sK3042: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.88 thf(func_def_3658, type, sK3043: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.88 thf(func_def_3659, type, sK3044: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.88 thf(func_def_3660, type, sK3045: !>[X0: $tType]:((set @ X0 > nat > set @ X0))).
% 181.38/27.88 thf(func_def_3661, type, sK3046: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3662, type, sK3047: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.88 thf(func_def_3663, type, sK3048: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3664, type, sK3049: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3665, type, sK3050: !>[X0: $tType]:((set @ X0 > (set @ X0 > $o) > nat > X0))).
% 181.38/27.88 thf(func_def_3666, type, sK3051: !>[X0: $tType]:((set @ X0 > (set @ X0 > $o) > nat))).
% 181.38/27.88 thf(func_def_3667, type, sK3052: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3668, type, sK3053: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3669, type, sK3054: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3670, type, sK3055: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3671, type, sK3056: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3672, type, sK3057: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3673, type, sK3058: !>[X0: $tType]:(((set @ X0 > $o) > nat > X0))).
% 181.38/27.88 thf(func_def_3674, type, sK3059: !>[X0: $tType]:(((set @ X0 > $o) > nat))).
% 181.38/27.88 thf(func_def_3675, type, sK3060: !>[X0: $tType]:(((set @ X0 > $o) > nat > X0))).
% 181.38/27.88 thf(func_def_3676, type, sK3061: !>[X0: $tType]:(((set @ X0 > $o) > nat))).
% 181.38/27.88 thf(func_def_3677, type, sK3062: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (set @ X1 > $o) > nat > X1))).
% 181.38/27.88 thf(func_def_3678, type, sK3063: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (set @ X1 > $o) > nat))).
% 181.38/27.88 thf(func_def_3679, type, sK3064: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3680, type, sK3065: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3681, type, sK3066: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3682, type, sK3067: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3683, type, sK3068: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3684, type, sK3069: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3685, type, sK3070: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3686, type, sK3071: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3687, type, sK3072: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3688, type, sK3073: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3689, type, sK3074: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3690, type, sK3075: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3691, type, sK3076: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3692, type, sK3077: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3693, type, sK3078: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3694, type, sK3079: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3695, type, sK3080: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3696, type, sK3081: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3697, type, sK3082: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3698, type, sK3083: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3699, type, sK3084: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3700, type, sK3085: !>[X0: $tType]:((set @ X0 > nat > nat > list @ X0))).
% 181.38/27.88 thf(func_def_3701, type, sK3086: !>[X0: $tType]:((set @ X0 > nat > nat))).
% 181.38/27.88 thf(func_def_3702, type, sK3087: !>[X0: $tType]:(((nat > X0) > nat > nat > X0))).
% 181.38/27.88 thf(func_def_3703, type, sK3088: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 181.38/27.88 thf(func_def_3704, type, sK3089: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.88 thf(func_def_3705, type, sK3090: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.88 thf(func_def_3706, type, sK3091: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3707, type, sK3092: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3708, type, sK3093: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3709, type, sK3094: !>[X0: $tType]:((set @ X0 > nat > nat > X0))).
% 181.38/27.88 thf(func_def_3710, type, sK3095: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3711, type, sK3096: !>[X0: $tType]:((set @ X0 > nat > nat))).
% 181.38/27.88 thf(func_def_3712, type, sK3097: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3713, type, sK3098: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3714, type, sK3099: !>[X0: $tType]:((set @ X0 > nat > nat > X0))).
% 181.38/27.88 thf(func_def_3715, type, sK3100: !>[X0: $tType]:((set @ X0 > nat > nat))).
% 181.38/27.88 thf(func_def_3716, type, sK3101: !>[X0: $tType]:((nat > set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3717, type, sK3102: !>[X0: $tType]:((nat > set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3718, type, sK3103: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3719, type, sK3104: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3720, type, sK3105: !>[X0: $tType]:((set @ X0 > X0 > X0 > X0))).
% 181.38/27.88 thf(func_def_3721, type, sK3106: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.88 thf(func_def_3722, type, sK3107: !>[X0: $tType]:((set @ X0 > X0))).
% 181.38/27.88 thf(func_def_3723, type, sK3108: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > X0 > X1))).
% 181.38/27.88 thf(func_def_3724, type, sK3109: !>[X0: $tType]:((set @ X0 > nat > nat > X0))).
% 181.38/27.88 thf(func_def_3725, type, sK3110: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3726, type, sK3111: !>[X0: $tType]:((set @ X0 > nat > nat))).
% 181.38/27.88 thf(func_def_3727, type, sK3112: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3728, type, sK3113: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3729, type, sK3114: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3730, type, sK3115: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3731, type, sK3116: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3732, type, sK3117: !>[X0: $tType]:((set @ X0 > nat > set @ X0))).
% 181.38/27.88 thf(func_def_3733, type, sK3118: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3734, type, sK3119: !>[X0: $tType]:((set @ X0 > nat > nat > X0))).
% 181.38/27.88 thf(func_def_3735, type, sK3120: !>[X0: $tType]:((set @ X0 > nat > nat))).
% 181.38/27.88 thf(func_def_3736, type, sK3121: !>[X0: $tType]:((nat > set @ X0 > set @ X0))).
% 181.38/27.88 thf(func_def_3737, type, sK3122: !>[X0: $tType]:((nat > set @ X0 > X0))).
% 181.38/27.88 thf(func_def_3738, type, sK3123: !>[X0: $tType]:((nat > set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3739, type, sK3124: !>[X0: $tType]:((nat > set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3740, type, sK3125: (nat > (real > $o) > real > real)).
% 181.38/27.88 thf(func_def_3741, type, sK3126: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3742, type, sK3127: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3743, type, sK3128: (set @ nat > nat)).
% 181.38/27.88 thf(func_def_3744, type, sK3129: (nat > set @ nat > nat)).
% 181.38/27.88 thf(func_def_3745, type, sK3130: (set @ nat > nat > nat)).
% 181.38/27.88 thf(func_def_3746, type, sK3131: (set @ nat > nat)).
% 181.38/27.88 thf(func_def_3747, type, sK3132: (set @ nat > nat)).
% 181.38/27.88 thf(func_def_3748, type, sK3133: (set @ nat > nat)).
% 181.38/27.88 thf(func_def_3749, type, sK3134: (nat > set @ nat > nat)).
% 181.38/27.88 thf(func_def_3750, type, sK3135: (set @ nat > nat > nat)).
% 181.38/27.88 thf(func_def_3751, type, sK3136: (set @ nat > nat)).
% 181.38/27.88 thf(func_def_3752, type, sK3137: (set @ nat > nat)).
% 181.38/27.88 thf(func_def_3753, type, sK3138: (set @ int > int)).
% 181.38/27.88 thf(func_def_3754, type, sK3139: (int > set @ int > int)).
% 181.38/27.88 thf(func_def_3755, type, sK3140: (set @ int > nat > int)).
% 181.38/27.88 thf(func_def_3756, type, sK3141: (set @ int > nat)).
% 181.38/27.88 thf(func_def_3757, type, sK3142: (set @ int > nat)).
% 181.38/27.88 thf(func_def_3758, type, sK3143: (set @ int > int)).
% 181.38/27.88 thf(func_def_3759, type, sK3144: (int > set @ int > int)).
% 181.38/27.88 thf(func_def_3760, type, sK3145: (set @ int > nat > int)).
% 181.38/27.88 thf(func_def_3761, type, sK3146: (set @ int > nat)).
% 181.38/27.88 thf(func_def_3762, type, sK3147: (set @ int > nat)).
% 181.38/27.88 thf(func_def_3763, type, sK3148: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X2 > X0) > (X2 > $o) > (X1 > $o) > nat > X0))).
% 181.38/27.88 thf(func_def_3764, type, sK3149: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X2 > X0) > (X2 > $o) > (X1 > $o) > nat))).
% 181.38/27.88 thf(func_def_3765, type, sK3150: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > nat > X1))).
% 181.38/27.88 thf(func_def_3766, type, sK3151: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > nat))).
% 181.38/27.88 thf(func_def_3767, type, sK3152: !>[X0: $tType]:(((set @ X0 > $o) > nat > X0))).
% 181.38/27.88 thf(func_def_3768, type, sK3153: !>[X0: $tType]:(((set @ X0 > $o) > nat))).
% 181.38/27.88 thf(func_def_3769, type, sK3154: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3770, type, sK3155: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3771, type, sK3156: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3772, type, sK3157: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3773, type, sK3158: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3774, type, sK3159: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3775, type, sK3160: (int > nat > int)).
% 181.38/27.88 thf(func_def_3776, type, sK3161: (int > nat)).
% 181.38/27.88 thf(func_def_3777, type, sK3162: (complex > nat > nat > complex)).
% 181.38/27.88 thf(func_def_3778, type, sK3163: (complex > nat > nat)).
% 181.38/27.88 thf(func_def_3779, type, sK3164: (int > int > nat > int)).
% 181.38/27.88 thf(func_def_3780, type, sK3165: (int > int > nat)).
% 181.38/27.88 thf(func_def_3781, type, sK3166: (int > int > nat > int)).
% 181.38/27.88 thf(func_def_3782, type, sK3167: (int > int > nat)).
% 181.38/27.88 thf(func_def_3783, type, sK3168: (int > int > nat > int)).
% 181.38/27.88 thf(func_def_3784, type, sK3169: (int > int > nat)).
% 181.38/27.88 thf(func_def_3785, type, sK3170: (int > int > nat > int)).
% 181.38/27.88 thf(func_def_3786, type, sK3171: (int > int > nat)).
% 181.38/27.88 thf(func_def_3787, type, sK3172: (int > int > nat > int)).
% 181.38/27.88 thf(func_def_3788, type, sK3173: (int > int > nat)).
% 181.38/27.88 thf(func_def_3789, type, sK3174: (int > int > nat > int)).
% 181.38/27.88 thf(func_def_3790, type, sK3175: (int > int > nat)).
% 181.38/27.88 thf(func_def_3791, type, sK3176: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1 > $o) > nat > X0))).
% 181.38/27.88 thf(func_def_3792, type, sK3177: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1 > $o) > nat))).
% 181.38/27.88 thf(func_def_3793, type, sK3178: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X1 > $o) > X1))).
% 181.38/27.88 thf(func_def_3794, type, sK3179: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X1 > $o) > nat > X0))).
% 181.38/27.88 thf(func_def_3795, type, sK3180: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X1 > $o) > nat))).
% 181.38/27.88 thf(func_def_3796, type, sK3181: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X1 > $o) > nat))).
% 181.38/27.88 thf(func_def_3797, type, sK3182: !>[X0: $tType]:((set @ X0 > nat > set @ X0))).
% 181.38/27.88 thf(func_def_3798, type, sK3183: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3799, type, sK3184: (nat > nat > nat)).
% 181.38/27.88 thf(func_def_3800, type, sK3185: (nat > nat)).
% 181.38/27.88 thf(func_def_3801, type, sK3186: (nat > nat > nat)).
% 181.38/27.88 thf(func_def_3802, type, sK3187: (nat > nat)).
% 181.38/27.88 thf(func_def_3803, type, sK3188: !>[X0: $tType]:(((nat > X0) > nat > nat > X0))).
% 181.38/27.88 thf(func_def_3804, type, sK3189: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 181.38/27.88 thf(func_def_3805, type, sK3190: !>[X0: $tType]:(((nat > X0) > nat > nat > X0))).
% 181.38/27.88 thf(func_def_3806, type, sK3191: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 181.38/27.88 thf(func_def_3807, type, sK3192: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 181.38/27.88 thf(func_def_3808, type, sK3193: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 181.38/27.88 thf(func_def_3809, type, sK3194: !>[X0: $tType]:((nat > nat > X0))).
% 181.38/27.88 thf(func_def_3810, type, sK3195: !>[X0: $tType]:((nat > nat))).
% 181.38/27.88 thf(func_def_3811, type, sK3196: (set @ nat > nat > nat)).
% 181.38/27.88 thf(func_def_3812, type, sK3197: (set @ nat > nat)).
% 181.38/27.88 thf(func_def_3813, type, sK3198: (set @ nat > nat > nat)).
% 181.38/27.88 thf(func_def_3814, type, sK3199: (set @ nat > nat)).
% 181.38/27.88 thf(func_def_3815, type, sK3200: !>[X0: $tType]:((X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3816, type, sK3201: !>[X0: $tType]:((X0 > nat))).
% 181.38/27.88 thf(func_def_3817, type, sK3202: (nat > nat > nat)).
% 181.38/27.88 thf(func_def_3818, type, sK3203: (nat > nat)).
% 181.38/27.88 thf(func_def_3819, type, sK3204: !>[X0: $tType]:((set @ X0 > (X0 > nat) > X0))).
% 181.38/27.88 thf(func_def_3820, type, sK3205: !>[X0: $tType]:((set @ X0 > X0 > (X0 > nat) > X0))).
% 181.38/27.88 thf(func_def_3821, type, sK3206: !>[X0: $tType]:((set @ X0 > (X0 > nat) > X0))).
% 181.38/27.88 thf(func_def_3822, type, sK3207: !>[X0: $tType]:((set @ X0 > X0 > (X0 > nat) > X0))).
% 181.38/27.88 thf(func_def_3823, type, sK3208: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 181.38/27.88 thf(func_def_3824, type, sK3209: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 181.38/27.88 thf(func_def_3825, type, sK3210: !>[X0: $tType]:((X0 > X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3826, type, sK3211: !>[X0: $tType]:((X0 > X0 > nat))).
% 181.38/27.88 thf(func_def_3827, type, sK3212: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > nat > X1))).
% 181.38/27.88 thf(func_def_3828, type, sK3213: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > nat))).
% 181.38/27.88 thf(func_def_3829, type, sK3214: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > nat > X1))).
% 181.38/27.88 thf(func_def_3830, type, sK3215: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > nat))).
% 181.38/27.88 thf(func_def_3831, type, sK3216: !>[X0: $tType]:((set @ X0 > nat > nat > list @ X0))).
% 181.38/27.88 thf(func_def_3832, type, sK3217: !>[X0: $tType]:((set @ X0 > nat > nat))).
% 181.38/27.88 thf(func_def_3833, type, sK3218: !>[X0: $tType]:((set @ X0 > nat > nat > list @ X0))).
% 181.38/27.88 thf(func_def_3834, type, sK3219: !>[X0: $tType]:((set @ X0 > nat > nat))).
% 181.38/27.88 thf(func_def_3835, type, sK3220: (set @ nat > nat > nat)).
% 181.38/27.88 thf(func_def_3836, type, sK3221: (set @ nat > nat)).
% 181.38/27.88 thf(func_def_3837, type, sK3222: (set @ nat > nat > nat)).
% 181.38/27.88 thf(func_def_3838, type, sK3223: (set @ nat > nat)).
% 181.38/27.88 thf(func_def_3839, type, sK3224: (nat > (nat > $o) > nat > nat)).
% 181.38/27.88 thf(func_def_3840, type, sK3225: (nat > (nat > $o) > nat)).
% 181.38/27.88 thf(func_def_3841, type, sK3226: (nat > (nat > nat) > nat > nat)).
% 181.38/27.88 thf(func_def_3842, type, sK3227: (nat > (nat > nat) > nat)).
% 181.38/27.88 thf(func_def_3843, type, sK3228: (set @ nat > nat > nat)).
% 181.38/27.88 thf(func_def_3844, type, sK3229: (set @ nat > nat)).
% 181.38/27.88 thf(func_def_3845, type, sK3230: !>[X0: $tType]:((set @ X0 > (X0 > nat) > X0))).
% 181.38/27.88 thf(func_def_3846, type, sK3231: !>[X0: $tType]:((set @ X0 > (X0 > nat) > X0))).
% 181.38/27.88 thf(func_def_3847, type, sK3232: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3848, type, sK3233: !>[X0: $tType]:((set @ X0 > nat))).
% 181.38/27.88 thf(func_def_3849, type, sK3234: !>[X0: $tType]:((X0 > X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3850, type, sK3235: !>[X0: $tType]:((X0 > X0 > nat))).
% 181.38/27.88 thf(func_def_3851, type, sK3236: !>[X0: $tType]:((X0 > X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3852, type, sK3237: !>[X0: $tType]:((X0 > X0 > nat))).
% 181.38/27.88 thf(func_def_3853, type, sK3238: (nat > nat > nat)).
% 181.38/27.88 thf(func_def_3854, type, sK3239: (nat > nat)).
% 181.38/27.88 thf(func_def_3855, type, sK3240: (nat > nat > nat)).
% 181.38/27.88 thf(func_def_3856, type, sK3241: (nat > nat)).
% 181.38/27.88 thf(func_def_3857, type, sK3242: (nat > nat > nat > nat)).
% 181.38/27.88 thf(func_def_3858, type, sK3243: (nat > nat > nat)).
% 181.38/27.88 thf(func_def_3859, type, sK3244: (nat > nat > nat > nat)).
% 181.38/27.88 thf(func_def_3860, type, sK3245: (nat > nat > nat)).
% 181.38/27.88 thf(func_def_3861, type, sK3246: !>[X0: $tType]:((list @ X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3862, type, sK3247: !>[X0: $tType]:((list @ X0 > nat))).
% 181.38/27.88 thf(func_def_3863, type, sK3248: (set @ nat > nat > nat)).
% 181.38/27.88 thf(func_def_3864, type, sK3249: (set @ nat > nat)).
% 181.38/27.88 thf(func_def_3865, type, sK3250: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 181.38/27.88 thf(func_def_3866, type, sK3251: ((nat > $o) > nat > nat)).
% 181.38/27.88 thf(func_def_3867, type, sK3252: ((nat > $o) > nat > nat)).
% 181.38/27.88 thf(func_def_3868, type, sK3253: ((nat > $o) > nat > nat)).
% 181.38/27.88 thf(func_def_3869, type, sK3254: ((nat > $o) > nat > nat)).
% 181.38/27.88 thf(func_def_3870, type, sK3255: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3871, type, sK3256: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3872, type, sK3257: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3873, type, sK3258: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3874, type, sK3259: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3875, type, sK3260: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3876, type, sK3261: ((int > $o) > int)).
% 181.38/27.88 thf(func_def_3877, type, sK3262: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3878, type, sK3263: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3879, type, sK3264: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3880, type, sK3265: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3881, type, sK3266: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3882, type, sK3267: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3883, type, sK3268: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3884, type, sK3269: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3885, type, sK3270: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3886, type, sK3271: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3887, type, sK3272: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3888, type, sK3273: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3889, type, sK3274: ((int > $o) > int)).
% 181.38/27.88 thf(func_def_3890, type, sK3275: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3891, type, sK3276: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3892, type, sK3277: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3893, type, sK3278: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3894, type, sK3279: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3895, type, sK3280: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3896, type, sK3281: ((int > $o) > int)).
% 181.38/27.88 thf(func_def_3897, type, sK3282: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3898, type, sK3283: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3899, type, sK3284: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3900, type, sK3285: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3901, type, sK3286: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3902, type, sK3287: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3903, type, sK3288: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3904, type, sK3289: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3905, type, sK3290: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3906, type, sK3291: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3907, type, sK3292: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3908, type, sK3293: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3909, type, sK3294: ((int > $o) > int)).
% 181.38/27.88 thf(func_def_3910, type, sK3295: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3911, type, sK3296: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3912, type, sK3297: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3913, type, sK3298: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3914, type, sK3299: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3915, type, sK3300: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3916, type, sK3301: ((int > $o) > int)).
% 181.38/27.88 thf(func_def_3917, type, sK3302: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3918, type, sK3303: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3919, type, sK3304: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3920, type, sK3305: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3921, type, sK3306: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3922, type, sK3307: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3923, type, sK3308: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3924, type, sK3309: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3925, type, sK3310: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3926, type, sK3311: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3927, type, sK3312: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3928, type, sK3313: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3929, type, sK3314: ((int > $o) > int)).
% 181.38/27.88 thf(func_def_3930, type, sK3315: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3931, type, sK3316: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3932, type, sK3317: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3933, type, sK3318: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3934, type, sK3319: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3935, type, sK3320: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3936, type, sK3321: ((int > $o) > int)).
% 181.38/27.88 thf(func_def_3937, type, sK3322: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3938, type, sK3323: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3939, type, sK3324: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3940, type, sK3325: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3941, type, sK3326: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3942, type, sK3327: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3943, type, sK3328: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3944, type, sK3329: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3945, type, sK3330: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3946, type, sK3331: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3947, type, sK3332: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3948, type, sK3333: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3949, type, sK3334: ((int > $o) > int)).
% 181.38/27.88 thf(func_def_3950, type, sK3335: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3951, type, sK3336: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3952, type, sK3337: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3953, type, sK3338: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3954, type, sK3339: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3955, type, sK3340: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3956, type, sK3341: ((int > $o) > int)).
% 181.38/27.88 thf(func_def_3957, type, sK3342: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3958, type, sK3343: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3959, type, sK3344: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3960, type, sK3345: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3961, type, sK3346: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3962, type, sK3347: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3963, type, sK3348: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3964, type, sK3349: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3965, type, sK3350: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3966, type, sK3351: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3967, type, sK3352: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3968, type, sK3353: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3969, type, sK3354: ((int > $o) > int)).
% 181.38/27.88 thf(func_def_3970, type, sK3355: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3971, type, sK3356: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3972, type, sK3357: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3973, type, sK3358: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3974, type, sK3359: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3975, type, sK3360: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3976, type, sK3361: ((int > $o) > int)).
% 181.38/27.88 thf(func_def_3977, type, sK3362: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3978, type, sK3363: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3979, type, sK3364: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3980, type, sK3365: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3981, type, sK3366: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3982, type, sK3367: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3983, type, sK3368: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3984, type, sK3369: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3985, type, sK3370: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3986, type, sK3371: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3987, type, sK3372: (int > (int > $o) > int)).
% 181.38/27.88 thf(func_def_3988, type, sK3373: ((int > $o) > int > set @ int > int)).
% 181.38/27.88 thf(func_def_3989, type, sK3374: ((int > $o) > int)).
% 181.38/27.88 thf(func_def_3990, type, sK3375: ((int > $o) > int > int)).
% 181.38/27.88 thf(func_def_3991, type, sK3376: ((int > $o) > int > int)).
% 181.38/27.88 thf(func_def_3992, type, sK3377: ((int > $o) > int)).
% 181.38/27.88 thf(func_def_3993, type, sK3378: !>[X0: $tType]:(((nat > X0) > X0 > nat > X0))).
% 181.38/27.88 thf(func_def_3994, type, sK3379: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 181.38/27.88 thf(func_def_3995, type, sK3380: ((nat > $o) > nat > nat)).
% 181.38/27.88 thf(func_def_3996, type, sK3381: ((nat > $o) > nat > nat)).
% 181.38/27.88 thf(func_def_3997, type, sK3382: ((nat > $o) > nat > nat)).
% 181.38/27.88 thf(func_def_3998, type, sK3383: ((nat > $o) > nat > nat)).
% 181.38/27.88 thf(func_def_3999, type, sK3384: !>[X0: $tType]:(((nat > X0) > nat > X0))).
% 181.38/27.88 thf(func_def_4000, type, sK3385: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 181.38/27.88 thf(func_def_4001, type, sK3386: !>[X0: $tType]:(((nat > X0) > (nat > X0) > nat > X0))).
% 181.38/27.88 thf(func_def_4002, type, sK3387: !>[X0: $tType]:(((nat > X0) > (nat > X0) > nat > nat))).
% 181.38/27.88 thf(func_def_4003, type, sK3388: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.88 thf(func_def_4004, type, sK3389: !>[X0: $tType]:(((nat > X0) > nat))).
% 181.38/27.88 thf(func_def_4005, type, sK3390: !>[X0: $tType]:((nat > (X0 > $o) > X0 > X0))).
% 181.38/27.88 thf(func_def_4006, type, sK3391: !>[X0: $tType]:((nat > (X0 > $o) > X0 > X0))).
% 181.38/27.88 thf(func_def_4007, type, sK3392: (real > nat)).
% 181.38/27.88 thf(func_def_4008, type, sK3393: (real > int)).
% 181.38/27.88 thf(func_def_4009, type, sK3394: (real > int)).
% 181.38/27.88 thf(func_def_4010, type, sK3395: (real > int)).
% 181.38/27.88 thf(func_def_4011, type, sK3396: !>[X0: $tType]:(((int > $o) > X0 > int))).
% 181.38/27.88 thf(func_def_4012, type, sK3397: !>[X0: $tType]:(((int > $o) > X0 > int))).
% 181.38/27.88 thf(func_def_4013, type, sK3398: !>[X0: $tType]:((X0 > int))).
% 181.38/27.88 thf(func_def_4014, type, sK3399: !>[X0: $tType]:((X0 > int))).
% 181.38/27.88 thf(func_def_4015, type, sK3400: (real > nat)).
% 181.38/27.88 thf(func_def_4016, type, sK3401: (real > nat)).
% 181.38/27.88 thf(func_def_4017, type, sK3402: (real > nat)).
% 181.38/27.88 thf(func_def_4018, type, sK3403: (real > nat)).
% 181.38/27.88 thf(func_def_4019, type, sK3404: (real > nat)).
% 181.38/27.88 thf(func_def_4020, type, sK3405: (real > nat)).
% 181.38/27.88 thf(func_def_4021, type, sK3406: (int > (nat > $o) > nat)).
% 181.38/27.88 thf(func_def_4022, type, sK3407: (int > (nat > $o) > nat)).
% 181.38/27.88 thf(func_def_4023, type, sK3408: (int > int > int > int)).
% 181.38/27.88 thf(func_def_4024, type, sK3409: (int > int > int > int)).
% 181.38/27.88 thf(func_def_4025, type, sK3410: (int > int > int > int)).
% 181.38/27.88 thf(func_def_4026, type, sK3411: (int > int > int > int)).
% 181.38/27.88 thf(func_def_4027, type, sK3412: (int > int > int > int)).
% 181.38/27.88 thf(func_def_4028, type, sK3413: (int > int > int > int)).
% 181.38/27.88 thf(func_def_4029, type, sK3414: (int > int > int > int)).
% 181.38/27.88 thf(func_def_4030, type, sK3415: (int > int > int > int)).
% 181.38/27.88 thf(func_def_4031, type, sK3416: (int > int > int > int)).
% 181.38/27.88 thf(func_def_4032, type, sK3417: (int > int > int > int)).
% 181.38/27.88 thf(func_def_4033, type, sK3418: (int > int > int > int)).
% 181.38/27.88 thf(func_def_4034, type, sK3419: (int > int > int > int)).
% 181.38/27.88 thf(func_def_4035, type, sK3420: (int > int > int > int)).
% 181.38/27.88 thf(func_def_4036, type, sK3421: (int > int > int > int)).
% 181.38/27.88 thf(func_def_4037, type, sK3422: !>[X0: $tType]:((X0 > nat > nat))).
% 181.38/27.88 thf(func_def_4038, type, sK3423: !>[X0: $tType, X1: $tType]:(((X0 > X1) > nat))).
% 181.38/27.88 thf(func_def_4039, type, sK3424: !>[X0: $tType, X1: $tType]:((real > (X0 > X1) > X0))).
% 181.38/27.88 thf(func_def_4040, type, sK3425: !>[X0: $tType, X1: $tType]:(((X0 > X1) > real))).
% 181.38/27.88 thf(func_def_4041, type, sK3426: !>[X0: $tType, X1: $tType]:((nat > (X0 > X1) > X0))).
% 181.38/27.88 thf(func_def_4042, type, sK3427: !>[X0: $tType, X1: $tType]:((nat > (X0 > X1) > X0))).
% 181.38/27.88 thf(func_def_4043, type, sK3428: !>[X0: $tType, X1: $tType]:(((X0 > X1) > nat))).
% 181.38/27.88 thf(func_def_4044, type, sK3429: !>[X0: $tType, X1: $tType]:((real > (X0 > X1) > X0))).
% 181.38/27.88 thf(func_def_4045, type, sK3430: !>[X0: $tType, X1: $tType]:(((X0 > X1) > real))).
% 181.38/27.88 thf(func_def_4046, type, sK3431: !>[X0: $tType, X1: $tType]:((nat > (X0 > X1) > X0))).
% 181.38/27.88 thf(func_def_4047, type, sK3432: !>[X0: $tType, X1: $tType]:((nat > (X0 > X1) > X0))).
% 181.38/27.88 thf(func_def_4048, type, sK3433: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4049, type, sK3434: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4050, type, sK3435: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4051, type, sK3436: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4052, type, sK3437: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4053, type, sK3438: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4054, type, sK3439: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4055, type, sK3440: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4056, type, sK3441: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4057, type, sK3442: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4058, type, sK3443: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4059, type, sK3444: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4060, type, sK3445: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4061, type, sK3446: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4062, type, sK3447: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4063, type, sK3448: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4064, type, sK3449: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4065, type, sK3450: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4066, type, sK3451: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4067, type, sK3452: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4068, type, sK3453: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4069, type, sK3454: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4070, type, sK3455: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4071, type, sK3456: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4072, type, sK3457: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4073, type, sK3458: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4074, type, sK3459: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4075, type, sK3460: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4076, type, sK3461: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4077, type, sK3462: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4078, type, sK3463: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4079, type, sK3464: (nat > (nat > $o) > nat > nat)).
% 181.38/27.88 thf(func_def_4080, type, sK3465: (nat > (nat > $o) > nat > nat)).
% 181.38/27.88 thf(func_def_4081, type, sK3466: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4082, type, sK3467: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4083, type, sK3468: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4084, type, sK3469: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4085, type, sK3470: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4086, type, sK3471: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4087, type, sK3472: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4088, type, sK3473: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4089, type, sK3474: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4090, type, sK3475: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4091, type, sK3476: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4092, type, sK3477: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4093, type, sK3478: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4094, type, sK3479: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4095, type, sK3480: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4096, type, sK3481: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4097, type, sK3482: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4098, type, sK3483: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4099, type, sK3484: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4100, type, sK3485: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4101, type, sK3486: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4102, type, sK3487: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4103, type, sK3488: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4104, type, sK3489: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4105, type, sK3490: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4106, type, sK3491: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4107, type, sK3492: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4108, type, sK3493: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4109, type, sK3494: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4110, type, sK3495: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4111, type, sK3496: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4112, type, sK3497: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4113, type, sK3498: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4114, type, sK3499: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4115, type, sK3500: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4116, type, sK3501: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4117, type, sK3502: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4118, type, sK3503: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4119, type, sK3504: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4120, type, sK3505: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4121, type, sK3506: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4122, type, sK3507: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4123, type, sK3508: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4124, type, sK3509: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4125, type, sK3510: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4126, type, sK3511: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4127, type, sK3512: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4128, type, sK3513: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4129, type, sK3514: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4130, type, sK3515: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4131, type, sK3516: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4132, type, sK3517: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4133, type, sK3518: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4134, type, sK3519: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4135, type, sK3520: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4136, type, sK3521: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4137, type, sK3522: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4138, type, sK3523: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4139, type, sK3524: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4140, type, sK3525: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4141, type, sK3526: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4142, type, sK3527: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4143, type, sK3528: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4144, type, sK3529: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4145, type, sK3530: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4146, type, sK3531: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4147, type, sK3532: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4148, type, sK3533: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4149, type, sK3534: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4150, type, sK3535: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4151, type, sK3536: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4152, type, sK3537: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4153, type, sK3538: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4154, type, sK3539: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4155, type, sK3540: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4156, type, sK3541: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4157, type, sK3542: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4158, type, sK3543: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4159, type, sK3544: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4160, type, sK3545: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4161, type, sK3546: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4162, type, sK3547: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4163, type, sK3548: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4164, type, sK3549: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4165, type, sK3550: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4166, type, sK3551: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4167, type, sK3552: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4168, type, sK3553: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4169, type, sK3554: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4170, type, sK3555: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4171, type, sK3556: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4172, type, sK3557: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4173, type, sK3558: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4174, type, sK3559: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4175, type, sK3560: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4176, type, sK3561: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4177, type, sK3562: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4178, type, sK3563: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4179, type, sK3564: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4180, type, sK3565: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4181, type, sK3566: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4182, type, sK3567: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4183, type, sK3568: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4184, type, sK3569: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4185, type, sK3570: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4186, type, sK3571: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4187, type, sK3572: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4188, type, sK3573: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4189, type, sK3574: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4190, type, sK3575: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4191, type, sK3576: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4192, type, sK3577: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4193, type, sK3578: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4194, type, sK3579: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4195, type, sK3580: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4196, type, sK3581: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4197, type, sK3582: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4198, type, sK3583: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4199, type, sK3584: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4200, type, sK3585: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4201, type, sK3586: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4202, type, sK3587: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4203, type, sK3588: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4204, type, sK3589: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4205, type, sK3590: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4206, type, sK3591: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4207, type, sK3592: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4208, type, sK3593: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4209, type, sK3594: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4210, type, sK3595: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4211, type, sK3596: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4212, type, sK3597: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4213, type, sK3598: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4214, type, sK3599: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4215, type, sK3600: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4216, type, sK3601: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4217, type, sK3602: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4218, type, sK3603: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4219, type, sK3604: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4220, type, sK3605: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4221, type, sK3606: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4222, type, sK3607: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4223, type, sK3608: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4224, type, sK3609: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4225, type, sK3610: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4226, type, sK3611: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4227, type, sK3612: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4228, type, sK3613: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4229, type, sK3614: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4230, type, sK3615: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4231, type, sK3616: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4232, type, sK3617: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4233, type, sK3618: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4234, type, sK3619: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4235, type, sK3620: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4236, type, sK3621: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4237, type, sK3622: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4238, type, sK3623: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4239, type, sK3624: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4240, type, sK3625: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4241, type, sK3626: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4242, type, sK3627: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4243, type, sK3628: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4244, type, sK3629: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4245, type, sK3630: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4246, type, sK3631: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4247, type, sK3632: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4248, type, sK3633: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4249, type, sK3634: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4250, type, sK3635: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4251, type, sK3636: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4252, type, sK3637: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4253, type, sK3638: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4254, type, sK3639: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4255, type, sK3640: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4256, type, sK3641: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4257, type, sK3642: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4258, type, sK3643: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4259, type, sK3644: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4260, type, sK3645: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4261, type, sK3646: (int > int > int)).
% 181.38/27.88 thf(func_def_4262, type, sK3647: (int > int > int)).
% 181.38/27.88 thf(func_def_4263, type, sK3648: (int > int > int)).
% 181.38/27.88 thf(func_def_4264, type, sK3649: (int > int > int)).
% 181.38/27.88 thf(func_def_4265, type, sK3650: (int > int > int)).
% 181.38/27.88 thf(func_def_4266, type, sK3651: (int > int > int)).
% 181.38/27.88 thf(func_def_4267, type, sK3652: (int > int > int)).
% 181.38/27.88 thf(func_def_4268, type, sK3653: (int > int > int)).
% 181.38/27.88 thf(func_def_4269, type, sK3654: (int > int > int)).
% 181.38/27.88 thf(func_def_4270, type, sK3655: (int > int > int)).
% 181.38/27.88 thf(func_def_4271, type, sK3656: (int > int > int)).
% 181.38/27.88 thf(func_def_4272, type, sK3657: (int > int > int)).
% 181.38/27.88 thf(func_def_4273, type, sK3658: (int > int > int)).
% 181.38/27.88 thf(func_def_4274, type, sK3659: (int > int > int)).
% 181.38/27.88 thf(func_def_4275, type, sK3660: (int > int > int)).
% 181.38/27.88 thf(func_def_4276, type, sK3661: (int > int > int)).
% 181.38/27.88 thf(func_def_4277, type, sK3662: (int > int > int)).
% 181.38/27.88 thf(func_def_4278, type, sK3663: (int > int > int)).
% 181.38/27.88 thf(func_def_4279, type, sK3664: (int > int > int)).
% 181.38/27.88 thf(func_def_4280, type, sK3665: (int > int > int)).
% 181.38/27.88 thf(func_def_4281, type, sK3666: (int > int > int)).
% 181.38/27.88 thf(func_def_4282, type, sK3667: (int > int > int)).
% 181.38/27.88 thf(func_def_4283, type, sK3668: (int > int > int)).
% 181.38/27.88 thf(func_def_4284, type, sK3669: (int > int > int)).
% 181.38/27.88 thf(func_def_4285, type, sK3670: (int > int > int)).
% 181.38/27.88 thf(func_def_4286, type, sK3671: (int > int > int)).
% 181.38/27.88 thf(func_def_4287, type, sK3672: (int > int > int)).
% 181.38/27.88 thf(func_def_4288, type, sK3673: (int > int > int)).
% 181.38/27.88 thf(func_def_4289, type, sK3674: (int > int)).
% 181.38/27.88 thf(func_def_4290, type, sK3675: (int > int)).
% 181.38/27.88 thf(func_def_4291, type, sK3676: (int > int)).
% 181.38/27.88 thf(func_def_4292, type, sK3677: (int > int)).
% 181.38/27.88 thf(func_def_4293, type, sK3678: (int > int)).
% 181.38/27.88 thf(func_def_4294, type, sK3679: (int > int)).
% 181.38/27.88 thf(func_def_4295, type, sK3680: (int > int)).
% 181.38/27.88 thf(func_def_4296, type, sK3681: (int > int)).
% 181.38/27.88 thf(func_def_4297, type, sK3682: (int > int)).
% 181.38/27.88 thf(func_def_4298, type, sK3683: (int > int)).
% 181.38/27.88 thf(func_def_4299, type, sK3684: (int > int)).
% 181.38/27.88 thf(func_def_4300, type, sK3685: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4301, type, sK3686: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4302, type, sK3687: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4303, type, sK3688: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4304, type, sK3689: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4305, type, sK3690: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4306, type, sK3691: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4307, type, sK3692: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4308, type, sK3693: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4309, type, sK3694: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4310, type, sK3695: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4311, type, sK3696: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4312, type, sK3697: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4313, type, sK3698: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4314, type, sK3699: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4315, type, sK3700: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4316, type, sK3701: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4317, type, sK3702: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4318, type, sK3703: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4319, type, sK3704: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4320, type, sK3705: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4321, type, sK3706: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4322, type, sK3707: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4323, type, sK3708: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4324, type, sK3709: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4325, type, sK3710: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4326, type, sK3711: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4327, type, sK3712: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4328, type, sK3713: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4329, type, sK3714: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4330, type, sK3715: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4331, type, sK3716: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4332, type, sK3717: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4333, type, sK3718: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4334, type, sK3719: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4335, type, sK3720: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4336, type, sK3721: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4337, type, sK3722: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4338, type, sK3723: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4339, type, sK3724: (int > int > int > int > int)).
% 181.38/27.88 thf(func_def_4340, type, sK3725: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 181.38/27.88 thf(func_def_4341, type, sK3726: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 181.38/27.88 thf(func_def_4342, type, sK3727: (nat > (nat > $o) > nat > nat)).
% 181.38/27.88 thf(func_def_4343, type, sK3728: (nat > (nat > $o) > nat > nat)).
% 181.38/27.88 thf(func_def_4344, type, sK3729: (nat > (nat > $o) > nat > nat)).
% 181.38/27.88 thf(func_def_4345, type, sK3730: (nat > (nat > $o) > nat > nat)).
% 181.38/27.88 thf(func_def_4346, type, sK3731: (nat > (nat > $o) > nat > nat)).
% 181.38/27.88 thf(func_def_4347, type, sK3732: (nat > (nat > $o) > nat > nat)).
% 181.38/27.88 thf(func_def_4348, type, sK3733: (nat > (nat > $o) > nat > nat)).
% 181.38/27.88 thf(func_def_4349, type, sK3734: (nat > nat > nat > nat)).
% 181.38/27.88 thf(func_def_4350, type, sK3735: (nat > nat > nat > nat)).
% 181.38/27.88 thf(func_def_4351, type, sK3736: ((int > int > $o) > int > int > int)).
% 181.38/27.88 thf(func_def_4352, type, sK3737: ((int > int > $o) > int > int > int)).
% 181.38/27.88 thf(func_def_4353, type, sK3738: ((int > int > $o) > int > int > int)).
% 181.38/27.88 thf(func_def_4354, type, sK3739: ((int > int > $o) > int > int > int)).
% 181.38/27.88 thf(func_def_4355, type, sK3740: (int > (int > $o) > int > int)).
% 181.38/27.88 thf(func_def_4356, type, sK3741: (int > (int > $o) > int > int)).
% 181.38/27.88 thf(func_def_4357, type, sK3742: (int > (int > $o) > int > int)).
% 181.38/27.88 thf(func_def_4358, type, sK3743: (int > (int > $o) > int > int)).
% 181.38/27.88 thf(func_def_4359, type, sK3744: (int > (int > $o) > int > int)).
% 181.38/27.88 thf(func_def_4360, type, sK3745: (int > (int > $o) > int > int)).
% 181.38/27.88 thf(func_def_4361, type, sK3746: (int > (int > $o) > int > int)).
% 181.38/27.88 thf(func_def_4362, type, sK3747: (int > (int > $o) > int > int)).
% 181.38/27.88 thf(func_def_4363, type, sK3748: (int > (int > $o) > int > int)).
% 181.38/27.88 thf(func_def_4364, type, sK3749: (int > (int > $o) > int > int)).
% 181.38/27.88 thf(func_def_4365, type, sK3750: (int > (int > $o) > int > int)).
% 181.38/27.88 thf(func_def_4366, type, sK3751: (int > int > int)).
% 181.38/27.88 thf(func_def_4367, type, sK3752: (int > (int > $o) > int > int)).
% 181.38/27.88 thf(func_def_4368, type, sK3753: (int > (int > $o) > int > int)).
% 181.38/27.88 thf(func_def_4369, type, sK3754: (int > (int > $o) > int > int)).
% 181.38/27.88 thf(func_def_4370, type, sK3755: (int > (int > $o) > int > int)).
% 181.38/27.88 thf(func_def_4371, type, sK3756: (int > (int > $o) > int > int)).
% 181.38/27.88 thf(func_def_4372, type, sK3757: (int > (int > $o) > int > int)).
% 181.38/27.88 thf(func_def_4373, type, sK3758: (int > (int > $o) > int > int)).
% 181.38/27.88 thf(func_def_4374, type, sK3759: (int > (int > $o) > int > int)).
% 181.38/27.88 thf(func_def_4375, type, sK3760: (int > (int > $o) > int > int)).
% 181.38/27.88 thf(func_def_4376, type, sK3761: (int > (int > $o) > int > int)).
% 181.38/27.88 thf(func_def_4377, type, sK3762: (int > (int > $o) > int > int)).
% 181.38/27.88 thf(func_def_4378, type, sK3763: !>[X0: $tType]:((option @ X0 > X0))).
% 181.38/27.88 thf(func_def_4379, type, sK3764: !>[X0: $tType]:((option @ X0 > X0))).
% 181.38/27.88 thf(func_def_4380, type, sK3765: (vEBT_VEBT > nat > nat > nat)).
% 181.38/27.88 thf(func_def_4381, type, sK3766: (vEBT_VEBT > nat > nat > nat)).
% 181.38/27.88 thf(func_def_4382, type, sK3767: (list @ vEBT_VEBT > nat > vEBT_VEBT > nat)).
% 181.38/27.88 thf(func_def_4383, type, sK3768: (list @ vEBT_VEBT > nat > vEBT_VEBT > nat)).
% 181.38/27.88 thf(func_def_4384, type, sK3769: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 181.38/27.88 thf(func_def_4385, type, sK3770: (nat > nat > nat)).
% 181.38/27.88 thf(func_def_4386, type, sK3771: ((nat > $o) > nat > nat)).
% 181.38/27.88 thf(func_def_4387, type, sK3772: ((nat > $o) > nat > nat)).
% 181.38/27.88 thf(func_def_4388, type, sK3773: (nat > nat)).
% 181.38/27.88 thf(func_def_4389, type, sK3774: ((nat > $o) > nat > nat)).
% 181.38/27.88 thf(func_def_4390, type, sK3775: ((nat > $o) > nat > nat)).
% 181.38/27.88 thf(func_def_4391, type, sK3776: (nat > list @ vEBT_VEBT > vEBT_VEBT > nat)).
% 181.38/27.88 thf(func_def_4392, type, sK3777: (nat > list @ vEBT_VEBT > vEBT_VEBT > nat)).
% 181.38/27.88 thf(func_def_4393, type, sK3778: !>[X0: $tType]:((nat > (nat > X0 > $o) > nat))).
% 181.38/27.88 thf(func_def_4394, type, sK3779: !>[X0: $tType]:((nat > (nat > X0 > $o) > list @ X0))).
% 181.38/27.88 thf(func_def_4395, type, sK3780: !>[X0: $tType]:((list @ X0 > nat > (nat > X0 > $o) > nat))).
% 181.38/27.88 thf(func_def_4396, type, sK3781: !>[X0: $tType]:((nat > (nat > X0 > $o) > X0))).
% 181.38/27.88 thf(func_def_4397, type, sK3782: !>[X0: $tType]:((list @ X0 > set @ X0 > X0))).
% 181.38/27.88 thf(func_def_4398, type, sK3783: !>[X0: $tType]:((list @ X0 > (X0 > $o) > nat))).
% 181.38/27.88 thf(func_def_4399, type, sK3784: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 181.38/27.88 thf(func_def_4400, type, sK3785: !>[X0: $tType]:((X0 > list @ X0 > nat))).
% 181.38/27.88 thf(func_def_4401, type, sK3786: (nat > nat > nat)).
% 181.38/27.88 thf(func_def_4402, type, sK3787: ((nat > $o) > nat > nat)).
% 181.38/27.88 thf(func_def_4403, type, sK3788: ((nat > $o) > nat > nat)).
% 181.38/27.88 thf(func_def_4404, type, sK3789: ((nat > $o) > nat > nat)).
% 181.38/27.88 thf(func_def_4405, type, sK3790: ((nat > $o) > nat > nat)).
% 181.38/27.88 thf(func_def_4406, type, sK3791: ((nat > $o) > nat > nat)).
% 181.38/27.88 thf(func_def_4407, type, sK3792: ((nat > $o) > nat > nat)).
% 181.38/27.88 thf(func_def_4408, type, sK3793: (nat > nat)).
% 181.38/27.88 thf(f1,axiom,(
% 181.38/27.88 (vEBT_V8194947554948674370ptions = (^[X7 : vEBT_VEBT, X8 : nat] : ((vEBT_VEBT_membermima @ X7 @ X8) | (vEBT_V5719532721284313246member @ X7 @ X8))))),
% 181.38/27.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_both__member__options__def)).
% 181.38/27.88 thf(f8,axiom,(
% 181.38/27.88 (vEBT_V5719532721284313246member @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))) @ (vEBT_VEBT_low @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))) => (vEBT_V5719532721284313246member @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)),
% 181.38/27.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7__092_060open_062naive__member_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Anaive__member_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062)).
% 181.38/27.88 thf(f9,axiom,(
% 181.38/27.88 (vEBT_VEBT_membermima @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))) @ (vEBT_VEBT_low @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))) => (vEBT_VEBT_membermima @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)),
% 181.38/27.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8__092_060open_062membermima_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Amembermima_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062)).
% 181.38/27.88 thf(f11,axiom,(
% 181.38/27.88 (vEBT_V5719532721284313246member @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))) @ (vEBT_VEBT_low @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))) | (vEBT_VEBT_membermima @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))) @ (vEBT_VEBT_low @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2)))))),
% 181.38/27.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10__092_060open_062membermima_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060or_062_Anaive__member_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_092_060close_062)).
% 181.38/27.88 thf(f18,axiom,(
% 181.38/27.88 (vEBT_VEBT_high = (^[X0 : nat, X1 : nat] : ((divide_divide @ nat @ X0 @ (power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ X1)))))),
% 181.38/27.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_high__def)).
% 181.38/27.88 thf(f280,axiom,(
% 181.38/27.88 (vEBT_VEBT_low = (^[X0 : nat, X1 : nat] : ((modulo_modulo @ nat @ X0 @ (power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ X1)))))),
% 181.38/27.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_279_low__def)).
% 181.38/27.88 thf(f8970,conjecture,(
% 181.38/27.88 (vEBT_V8194947554948674370ptions @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)),
% 181.38/27.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 181.38/27.88 thf(f8971,negated_conjecture,(
% 181.38/27.88 ~(vEBT_V8194947554948674370ptions @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)),
% 181.38/27.88 inference(negated_conjecture,[status(cth)],[f8970])).
% 181.38/27.88 thf(f8972,plain,(
% 181.38/27.88 (vEBT_V8194947554948674370ptions = (^[X0 : vEBT_VEBT, X1 : nat] : ((vEBT_VEBT_membermima @ X0 @ X1) | (vEBT_V5719532721284313246member @ X0 @ X1))))),
% 181.38/27.88 inference(rectify,[],[f1])).
% 181.38/27.88 thf(f8973,plain,(
% 181.38/27.88 (vEBT_V8194947554948674370ptions = (^[Y0 : vEBT_VEBT]: ((^[Y1 : nat]: ((vEBT_V5719532721284313246member @ Y0 @ Y1) | (vEBT_VEBT_membermima @ Y0 @ Y1))))))),
% 181.38/27.88 inference(fool_elimination,[],[f8972])).
% 181.38/27.88 thf(f8985,plain,(
% 181.38/27.88 (vEBT_V5719532721284313246member @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))) @ (vEBT_VEBT_low @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))) => (vEBT_V5719532721284313246member @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)),
% 181.38/27.88 inference(rectify,[],[f8])).
% 181.38/27.88 thf(f8986,plain,(
% 181.38/27.88 (((vEBT_V5719532721284313246member @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))) @ (vEBT_VEBT_low @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2)))))) = $true) => (((vEBT_V5719532721284313246member @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)) = $true)),
% 181.38/27.88 inference(fool_elimination,[],[f8985])).
% 181.38/27.88 thf(f8987,plain,(
% 181.38/27.88 (vEBT_VEBT_membermima @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))) @ (vEBT_VEBT_low @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))) => (vEBT_VEBT_membermima @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)),
% 181.38/27.88 inference(rectify,[],[f9])).
% 181.38/27.88 thf(f8988,plain,(
% 181.38/27.88 (((vEBT_VEBT_membermima @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))) @ (vEBT_VEBT_low @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2)))))) = $true) => (((vEBT_VEBT_membermima @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)) = $true)),
% 181.38/27.88 inference(fool_elimination,[],[f8987])).
% 181.38/27.88 thf(f8991,plain,(
% 181.38/27.88 (vEBT_V5719532721284313246member @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))) @ (vEBT_VEBT_low @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))) | (vEBT_VEBT_membermima @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))) @ (vEBT_VEBT_low @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2)))))),
% 181.38/27.88 inference(rectify,[],[f11])).
% 181.38/27.88 thf(f8992,plain,(
% 181.38/27.88 (((vEBT_V5719532721284313246member @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))) @ (vEBT_VEBT_low @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2)))))) = $true) | (((vEBT_VEBT_membermima @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))) @ (vEBT_VEBT_low @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2)))))) = $true)),
% 181.38/27.88 inference(fool_elimination,[],[f8991])).
% 181.38/27.88 thf(f9001,plain,(
% 181.38/27.88 (vEBT_VEBT_high = (^[Y0 : nat]: ((^[Y1 : nat]: (divide_divide @ nat @ Y0 @ (power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ Y1))))))),
% 181.38/27.88 inference(fool_elimination,[],[f18])).
% 181.38/27.88 thf(f9433,plain,(
% 181.38/27.88 (vEBT_VEBT_low = (^[Y0 : nat]: ((^[Y1 : nat]: (modulo_modulo @ nat @ Y0 @ (power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ Y1))))))),
% 181.38/27.88 inference(fool_elimination,[],[f280])).
% 181.38/27.88 thf(f24193,plain,(
% 181.38/27.88 ~(vEBT_V8194947554948674370ptions @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)),
% 181.38/27.88 inference(rectify,[],[f8971])).
% 181.38/27.88 thf(f24194,plain,(
% 181.38/27.88 ~ (((vEBT_V8194947554948674370ptions @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)) = $true)),
% 181.38/27.88 inference(fool_elimination,[],[f24193])).
% 181.38/27.88 thf(f24674,plain,(
% 181.38/27.88 (((vEBT_V8194947554948674370ptions @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)) != $true)),
% 181.38/27.88 inference(flattening,[],[f24194])).
% 181.38/27.88 thf(f24676,plain,(
% 181.38/27.88 (((vEBT_V5719532721284313246member @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)) = $true) | (((vEBT_V5719532721284313246member @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))) @ (vEBT_VEBT_low @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2)))))) != $true)),
% 181.38/27.88 inference(ennf_transformation,[],[f8986])).
% 181.38/27.88 thf(f24677,plain,(
% 181.38/27.88 (((vEBT_VEBT_membermima @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)) = $true) | (((vEBT_VEBT_membermima @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))) @ (vEBT_VEBT_low @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2)))))) != $true)),
% 181.38/27.88 inference(ennf_transformation,[],[f8988])).
% 181.38/27.88 thf(f34595,plain,(
% 181.38/27.88 (vEBT_V8194947554948674370ptions = (^[Y0 : vEBT_VEBT]: ((^[Y1 : nat]: ((vEBT_V5719532721284313246member @ Y0 @ Y1) | (vEBT_VEBT_membermima @ Y0 @ Y1))))))),
% 181.38/27.88 inference(cnf_transformation,[],[f8973])).
% 181.38/27.88 thf(f34602,plain,(
% 181.38/27.88 (((vEBT_V5719532721284313246member @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)) = $true) | (((vEBT_V5719532721284313246member @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))) @ (vEBT_VEBT_low @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2)))))) != $true)),
% 181.38/27.88 inference(cnf_transformation,[],[f24676])).
% 181.38/27.88 thf(f34603,plain,(
% 181.38/27.88 (((vEBT_VEBT_membermima @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)) = $true) | (((vEBT_VEBT_membermima @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))) @ (vEBT_VEBT_low @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2)))))) != $true)),
% 181.38/27.88 inference(cnf_transformation,[],[f24677])).
% 181.38/27.88 thf(f34605,plain,(
% 181.38/27.88 (((vEBT_V5719532721284313246member @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))) @ (vEBT_VEBT_low @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2)))))) = $true) | (((vEBT_VEBT_membermima @ (nth @ vEBT_VEBT @ treeList @ (vEBT_VEBT_high @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))) @ (vEBT_VEBT_low @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2)))))) = $true)),
% 181.38/27.88 inference(cnf_transformation,[],[f8992])).
% 181.38/27.88 thf(f34613,plain,(
% 181.38/27.88 (vEBT_VEBT_high = (^[Y0 : nat]: ((^[Y1 : nat]: (divide_divide @ nat @ Y0 @ (power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ Y1))))))),
% 181.38/27.88 inference(cnf_transformation,[],[f9001])).
% 181.38/27.88 thf(f34925,plain,(
% 181.38/27.88 (vEBT_VEBT_low = (^[Y0 : nat]: ((^[Y1 : nat]: (modulo_modulo @ nat @ Y0 @ (power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ Y1))))))),
% 181.38/27.88 inference(cnf_transformation,[],[f9433])).
% 181.38/27.88 thf(f45969,plain,(
% 181.38/27.88 (((vEBT_V8194947554948674370ptions @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)) != $true)),
% 181.38/27.88 inference(cnf_transformation,[],[f24674])).
% 181.38/27.88 thf(f46009,plain,(
% 181.38/27.88 (((vEBT_V5719532721284313246member @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)) = $true) | ($true != ((vEBT_V5719532721284313246member @ (nth @ vEBT_VEBT @ treeList @ ((^[Y0 : nat]: ((^[Y1 : nat]: (divide_divide @ nat @ Y0 @ (power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ Y1))))) @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))) @ ((^[Y0 : nat]: ((^[Y1 : nat]: (modulo_modulo @ nat @ Y0 @ (power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ Y1))))) @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2)))))))),
% 181.38/27.88 inference(definition_unfolding,[],[f34602,f34613,f34925])).
% 181.38/27.88 thf(f46010,plain,(
% 181.38/27.88 (((vEBT_VEBT_membermima @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)) = $true) | ($true != ((vEBT_VEBT_membermima @ (nth @ vEBT_VEBT @ treeList @ ((^[Y0 : nat]: ((^[Y1 : nat]: (divide_divide @ nat @ Y0 @ (power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ Y1))))) @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))) @ ((^[Y0 : nat]: ((^[Y1 : nat]: (modulo_modulo @ nat @ Y0 @ (power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ Y1))))) @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2)))))))),
% 181.38/27.88 inference(definition_unfolding,[],[f34603,f34613,f34925])).
% 181.38/27.88 thf(f46012,plain,(
% 181.38/27.88 ($true = ((vEBT_V5719532721284313246member @ (nth @ vEBT_VEBT @ treeList @ ((^[Y0 : nat]: ((^[Y1 : nat]: (divide_divide @ nat @ Y0 @ (power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ Y1))))) @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))) @ ((^[Y0 : nat]: ((^[Y1 : nat]: (modulo_modulo @ nat @ Y0 @ (power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ Y1))))) @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))))) | ($true = ((vEBT_VEBT_membermima @ (nth @ vEBT_VEBT @ treeList @ ((^[Y0 : nat]: ((^[Y1 : nat]: (divide_divide @ nat @ Y0 @ (power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ Y1))))) @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))) @ ((^[Y0 : nat]: ((^[Y1 : nat]: (modulo_modulo @ nat @ Y0 @ (power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ Y1))))) @ x @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2)))))))),
% 181.38/27.88 inference(definition_unfolding,[],[f34605,f34613,f34925,f34613,f34925])).
% 181.38/27.88 thf(f49128,plain,(
% 181.38/27.88 ($true != (((^[Y0 : vEBT_VEBT]: ((^[Y1 : nat]: ((vEBT_V5719532721284313246member @ Y0 @ Y1) | (vEBT_VEBT_membermima @ Y0 @ Y1))))) @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)))),
% 181.38/27.88 inference(definition_unfolding,[],[f45969,f34595])).
% 181.38/27.88 thf(f49640,plain,(
% 181.38/27.88 ($true != (((vEBT_V5719532721284313246member @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x) | (vEBT_VEBT_membermima @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x))))),
% 181.38/27.88 inference(beta-eta_normalization,[],[f49128])).
% 181.38/27.88 thf(f49641,plain,(
% 181.38/27.88 (((vEBT_VEBT_membermima @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)) = $false)),
% 181.38/27.88 inference(or_proxy_clausification,[],[f49640])).
% 181.38/27.88 thf(f49642,plain,(
% 181.38/27.88 (((vEBT_V5719532721284313246member @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)) = $false)),
% 181.38/27.88 inference(or_proxy_clausification,[],[f49640])).
% 181.38/27.88 thf(f93025,plain,(
% 181.38/27.88 ($true = ((vEBT_V5719532721284313246member @ (nth @ vEBT_VEBT @ treeList @ (divide_divide @ nat @ x @ (power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2)))))) @ (modulo_modulo @ nat @ x @ (power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2)))))))) | ($true = ((vEBT_VEBT_membermima @ (nth @ vEBT_VEBT @ treeList @ (divide_divide @ nat @ x @ (power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2)))))) @ (modulo_modulo @ nat @ x @ (power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))))))),
% 181.38/27.88 inference(beta-eta_normalization,[],[f46012])).
% 181.38/27.88 thf(f93027,plain,(
% 181.38/27.88 (((vEBT_VEBT_membermima @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)) = $true) | ($true != ((vEBT_VEBT_membermima @ (nth @ vEBT_VEBT @ treeList @ (divide_divide @ nat @ x @ (power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2)))))) @ (modulo_modulo @ nat @ x @ (power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))))))),
% 181.38/27.88 inference(beta-eta_normalization,[],[f46010])).
% 181.38/27.88 thf(f93028,plain,(
% 181.38/27.88 (((vEBT_V5719532721284313246member @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)) = $true) | ($true != ((vEBT_V5719532721284313246member @ (nth @ vEBT_VEBT @ treeList @ (divide_divide @ nat @ x @ (power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2)))))) @ (modulo_modulo @ nat @ x @ (power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))))))),
% 181.38/27.88 inference(beta-eta_normalization,[],[f46009])).
% 181.38/27.88 thf(f93057,definition,(
% 181.38/27.88 spl3794_1 <=> (((vEBT_V5719532721284313246member @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)) = $false)),
% 181.38/27.88 introduced(definition,[new_symbols(definition,[spl3794_1])],[avatar_definition])).
% 181.38/27.88 thf(f93059,plain,(
% 181.38/27.88 (((vEBT_V5719532721284313246member @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)) = $false) | ~spl3794_1),
% 181.38/27.88 inference(avatar_component_clause,[],[f93057])).
% 181.38/27.88 thf(f93060,plain,(
% 181.38/27.88 spl3794_1),
% 181.38/27.88 inference(avatar_split_clause,[],[f49642,f93057])).
% 181.38/27.88 thf(f93062,definition,(
% 181.38/27.88 spl3794_2 <=> (((vEBT_VEBT_membermima @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)) = $false)),
% 181.38/27.88 introduced(definition,[new_symbols(definition,[spl3794_2])],[avatar_definition])).
% 181.38/27.88 thf(f93064,plain,(
% 181.38/27.88 (((vEBT_VEBT_membermima @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)) = $false) | ~spl3794_2),
% 181.38/27.88 inference(avatar_component_clause,[],[f93062])).
% 181.38/27.88 thf(f93065,plain,(
% 181.38/27.88 spl3794_2),
% 181.38/27.88 inference(avatar_split_clause,[],[f49641,f93062])).
% 181.38/27.88 thf(f207203,definition,(
% 181.38/27.88 spl3794_31852 <=> (((vEBT_V5719532721284313246member @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)) = $true)),
% 181.38/27.88 introduced(definition,[new_symbols(definition,[spl3794_31852])],[avatar_definition])).
% 181.38/27.88 thf(f207205,plain,(
% 181.38/27.88 (((vEBT_V5719532721284313246member @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)) = $true) | ~spl3794_31852),
% 181.38/27.88 inference(avatar_component_clause,[],[f207203])).
% 181.38/27.88 thf(f207211,definition,(
% 181.38/27.88 spl3794_31854 <=> (((vEBT_VEBT_membermima @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)) = $true)),
% 181.38/27.88 introduced(definition,[new_symbols(definition,[spl3794_31854])],[avatar_definition])).
% 181.38/27.88 thf(f207213,plain,(
% 181.38/27.88 (((vEBT_VEBT_membermima @ (vEBT_Node @ info @ deg @ treeList @ summary) @ x)) = $true) | ~spl3794_31854),
% 181.38/27.88 inference(avatar_component_clause,[],[f207211])).
% 181.38/27.88 thf(f207216,definition,(
% 181.38/27.88 spl3794_31855 <=> ($true = ((vEBT_V5719532721284313246member @ (nth @ vEBT_VEBT @ treeList @ (divide_divide @ nat @ x @ (power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2)))))) @ (modulo_modulo @ nat @ x @ (power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))))))),
% 181.38/27.88 introduced(definition,[new_symbols(definition,[spl3794_31855])],[avatar_definition])).
% 181.38/27.89 thf(f207220,definition,(
% 181.38/27.89 spl3794_31856 <=> ($true = ((vEBT_VEBT_membermima @ (nth @ vEBT_VEBT @ treeList @ (divide_divide @ nat @ x @ (power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2)))))) @ (modulo_modulo @ nat @ x @ (power_power @ nat @ (numeral_numeral @ nat @ (bit0 @ one2)) @ (divide_divide @ nat @ deg @ (numeral_numeral @ nat @ (bit0 @ one2))))))))),
% 181.38/27.89 introduced(definition,[new_symbols(definition,[spl3794_31856])],[avatar_definition])).
% 181.38/27.89 thf(f207224,plain,(
% 181.38/27.89 spl3794_31856 | spl3794_31855),
% 181.38/27.89 inference(avatar_split_clause,[],[f93025,f207216,f207220])).
% 181.38/27.89 thf(f207230,plain,(
% 181.38/27.89 ~spl3794_31856 | spl3794_31854),
% 181.38/27.89 inference(avatar_split_clause,[],[f93027,f207211,f207220])).
% 181.38/27.89 thf(f207231,plain,(
% 181.38/27.89 ~spl3794_31855 | spl3794_31852),
% 181.38/27.89 inference(avatar_split_clause,[],[f93028,f207203,f207216])).
% 181.38/27.89 thf(f236223,plain,(
% 181.38/27.89 ($true = $false) | (~spl3794_1 | ~spl3794_31852)),
% 181.38/27.89 inference(forward_demodulation,[],[f207205,f93059])).
% 181.38/27.89 thf(f236224,plain,(
% 181.38/27.89 $false | (~spl3794_1 | ~spl3794_31852)),
% 181.38/27.89 inference(trivial_inequality_removal,[],[f236223])).
% 181.38/27.89 thf(f236225,plain,(
% 181.38/27.89 ~spl3794_1 | ~spl3794_31852),
% 181.38/27.89 inference(avatar_contradiction_clause,[],[f236224])).
% 181.38/27.89 thf(f236226,plain,(
% 181.38/27.89 ($true = $false) | (~spl3794_2 | ~spl3794_31854)),
% 181.38/27.89 inference(forward_demodulation,[],[f207213,f93064])).
% 181.38/27.89 thf(f236227,plain,(
% 181.38/27.89 $false | (~spl3794_2 | ~spl3794_31854)),
% 181.38/27.89 inference(trivial_inequality_removal,[],[f236226])).
% 181.38/27.89 thf(f236228,plain,(
% 181.38/27.89 ~spl3794_2 | ~spl3794_31854),
% 181.38/27.89 inference(avatar_contradiction_clause,[],[f236227])).
% 181.38/27.89 cnf(s1, plain, spl3794_1, inference(sat_conversion,[],[f93060])).
% 181.38/27.89 cnf(s2, plain, spl3794_2, inference(sat_conversion,[],[f93065])).
% 181.38/27.89 cnf(s18190, plain, spl3794_31855 | spl3794_31856, inference(sat_conversion,[],[f207224])).
% 181.38/27.89 cnf(s18192, plain, spl3794_31854 | ~spl3794_31856, inference(sat_conversion,[],[f207230])).
% 181.38/27.89 cnf(s18193, plain, spl3794_31852 | ~spl3794_31855, inference(sat_conversion,[],[f207231])).
% 181.38/27.89 cnf(s28660, plain, ~spl3794_1 | ~spl3794_31852, inference(sat_conversion,[],[f236225])).
% 181.38/27.89 cnf(s28661, plain, ~spl3794_2 | ~spl3794_31854, inference(sat_conversion,[],[f236228])).
% 181.38/27.89 cnf(s32057, plain, ~spl3794_31854, inference(rat,[],[s28661,s2])).
% 181.38/27.89 cnf(s32058, plain, ~spl3794_31856, inference(rat,[],[s18192,s32057])).
% 181.38/27.89 cnf(s32059, plain, spl3794_31855, inference(rat,[],[s18190,s32058])).
% 181.38/27.89 cnf(s32060, plain, spl3794_31852, inference(rat,[],[s18193,s32059])).
% 181.38/27.89 cnf(s32061, plain, ~spl3794_1, inference(rat,[],[s28660,s32060])).
% 181.38/27.89 cnf(s32062, plain, $false, inference(rat,[],[s1,s32061])).
% 181.38/27.89 thf(f245663,plain,(
% 181.38/27.89 $false),
% 181.38/27.89 inference(avatar_sat_refutation,[],[s32062])).
% 181.38/27.89 % SZS output end Proof for theBenchmark
% 181.38/27.89 % (4068914)------------------------------
% 181.38/27.89 % (4068914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 181.38/27.89 % (4068914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 181.38/27.89 % (4068914)CaDiCaL version: 2.1.3
% 181.38/27.89 % (4068914)Termination reason: Refutation
% 181.38/27.89 % (4068914)Time elapsed: 8.425 s
% 181.38/27.89 % (4068914)Peak memory usage: 152 MB
% 181.38/27.89 % (4068914)Instructions burned: 15278 (million)
% 181.38/27.89 % (4068816)Success in time 27.588 s
% 181.38/27.89 % Vampire exiting
%------------------------------------------------------------------------------