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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP219^4 : TPTP v9.3.1. Bugfixed v9.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:09:00 AM UTC 2026

% Result   : Theorem 20.54s 7.03s
% Output   : Refutation 22.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP219^4 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.07  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20  % Computer : n026.cluster.edu
% 0.10/0.20  % Model    : x86_64 x86_64
% 0.10/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20  % Memory   : 8046.5625MB
% 0.10/0.20  % OS       : Linux 6.8.0-71-generic
% 0.10/0.20  % CPULimit : 300
% 0.10/0.20  % WCLimit  : 300
% 0.10/0.20  % DateTime : Tue Sep 29 20:22:14 UTC 2026
% 0.10/0.21  % CPUTime  : 
% 0.10/0.21  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24  Running higher-order theorem proving
% 3.66/3.79  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.91/4.63  % (1127263)Detected a higher-order problem, will run a greedy HOL sequence.
% 4.91/4.63  % (1127270)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2773527345:i=3:rtra=on:inj=on:ntd=on_2993 on theBenchmark for (2993ds/3Mi)
% 4.91/4.63  % (1127274)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 4.91/4.63  % (1127274)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 4.91/4.63  % (1127270)Instruction limit reached! 
% 4.91/4.63  % (1127270)------------------------------
% 4.91/4.63  % (1127270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.91/4.63  % (1127270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/4.63  % (1127270)CaDiCaL version: 2.1.3
% 4.91/4.63  % (1127270)Termination reason: Instruction limit
% 4.91/4.63  % (1127270)Termination phase: shuffling
% 4.91/4.63  % (1127270)Time elapsed: 0.004 s
% 4.91/4.63  % (1127270)Peak memory usage: 24 MB
% 4.91/4.63  % (1127270)Instructions burned: 3 (million)
% 4.91/4.63  % (1127268)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2398937781:s2a=on:i=87:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/87Mi)
% 4.91/4.63  % (1127269)lrs+10_16_si=on:nwc=1.5:random_seed=2923281064:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2993 on theBenchmark for (2993ds/18Mi)
% 4.91/4.63  % (1127271)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2104776610:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2993 on theBenchmark for (2993ds/634Mi)
% 4.91/4.63  % (1127272)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=570067057:i=24:av=off:rtra=on_2993 on theBenchmark for (2993ds/24Mi)
% 4.91/4.63  % (1127274)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=4169959499:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2993 on theBenchmark for (2993ds/157Mi)
% 4.91/4.63  % (1127273)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3222073246:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/75Mi)
% 4.91/4.63  % (1127278)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2119024869:i=2:hud=10:rtra=on_2992 on theBenchmark for (2992ds/2Mi)
% 4.91/4.63  % (1127278)Instruction limit reached! 
% 4.91/4.63  % (1127278)------------------------------
% 4.91/4.63  % (1127278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.91/4.63  % (1127278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/4.63  % (1127278)CaDiCaL version: 2.1.3
% 4.91/4.63  % (1127278)Termination reason: Instruction limit
% 4.91/4.63  % (1127278)Termination phase: shuffling
% 4.91/4.63  % (1127278)Time elapsed: 0.003 s
% 4.91/4.63  % (1127278)Peak memory usage: 25 MB
% 4.91/4.63  % (1127278)Instructions burned: 2 (million)
% 4.91/4.63  % (1127269)Instruction limit reached! 
% 4.91/4.63  % (1127269)------------------------------
% 4.91/4.63  % (1127269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.91/4.63  % (1127269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/4.63  % (1127269)CaDiCaL version: 2.1.3
% 4.91/4.63  % (1127269)Termination reason: Instruction limit
% 4.91/4.63  % (1127269)Termination phase: shuffling
% 4.91/4.63  % (1127269)Time elapsed: 0.024 s
% 4.91/4.63  % (1127269)Peak memory usage: 26 MB
% 4.91/4.63  % (1127269)Instructions burned: 18 (million)
% 4.91/4.63  % (1127272)Instruction limit reached! 
% 4.91/4.63  % (1127272)------------------------------
% 4.91/4.63  % (1127272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.91/4.63  % (1127272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/4.63  % (1127272)CaDiCaL version: 2.1.3
% 4.91/4.63  % (1127272)Termination reason: Instruction limit
% 4.91/4.63  % (1127272)Termination phase: shuffling
% 4.91/4.63  % (1127272)Time elapsed: 0.025 s
% 4.91/4.63  % (1127272)Peak memory usage: 26 MB
% 4.91/4.63  % (1127272)Instructions burned: 25 (million)
% 4.91/4.63  % (1127284)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=69856051:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2992 on theBenchmark for (2992ds/5Mi)
% 4.91/4.67  % (1127284)Instruction limit reached! 
% 4.91/4.67  % (1127284)------------------------------
% 4.91/4.67  % (1127284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.91/4.67  % (1127284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/4.67  % (1127284)CaDiCaL version: 2.1.3
% 4.91/4.67  % (1127284)Termination reason: Instruction limit
% 4.91/4.67  % (1127284)Termination phase: shuffling
% 4.91/4.67  % (1127284)Time elapsed: 0.006 s
% 4.91/4.67  % (1127284)Peak memory usage: 25 MB
% 4.91/4.67  % (1127284)Instructions burned: 6 (million)
% 4.91/4.67  % (1127285)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 4.91/4.67  % (1127288)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 4.91/4.67  % (1127288)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 4.91/4.67  % (1127285)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2177087920:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2992 on theBenchmark for (2992ds/7Mi)
% 4.91/4.67  % (1127288)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1487348489:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2992 on theBenchmark for (2992ds/28Mi)
% 4.91/4.67  % (1127287)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3493832980:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2992 on theBenchmark for (2992ds/12Mi)
% 4.91/4.67  % (1127273)Instruction limit reached! 
% 4.91/4.67  % (1127273)------------------------------
% 4.91/4.67  % (1127273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.91/4.67  % (1127273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/4.67  % (1127273)CaDiCaL version: 2.1.3
% 4.91/4.67  % (1127273)Termination reason: Instruction limit
% 4.91/4.67  % (1127273)Termination phase: shuffling
% 4.91/4.67  % (1127273)Time elapsed: 0.050 s
% 4.91/4.67  % (1127273)Peak memory usage: 27 MB
% 4.91/4.67  % (1127273)Instructions burned: 76 (million)
% 4.91/4.67  % (1127268)Instruction limit reached! 
% 4.91/4.67  % (1127268)------------------------------
% 4.91/4.67  % (1127268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.91/4.67  % (1127268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/4.67  % (1127268)CaDiCaL version: 2.1.3
% 4.91/4.67  % (1127268)Termination reason: Instruction limit
% 4.91/4.67  % (1127268)Termination phase: shuffling
% 4.91/4.67  % (1127268)Time elapsed: 0.058 s
% 4.91/4.67  % (1127268)Peak memory usage: 27 MB
% 4.91/4.67  % (1127268)Instructions burned: 88 (million)
% 4.91/4.67  % (1127285)Instruction limit reached! 
% 4.91/4.67  % (1127285)------------------------------
% 4.91/4.67  % (1127285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.91/4.67  % (1127285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/4.67  % (1127285)CaDiCaL version: 2.1.3
% 4.91/4.67  % (1127285)Termination reason: Instruction limit
% 4.91/4.67  % (1127285)Termination phase: shuffling
% 4.91/4.67  % (1127285)Time elapsed: 0.012 s
% 4.91/4.67  % (1127285)Peak memory usage: 25 MB
% 4.91/4.67  % (1127285)Instructions burned: 7 (million)
% 4.91/4.67  % (1127288)Instruction limit reached! 
% 4.91/4.67  % (1127288)------------------------------
% 4.91/4.67  % (1127288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.91/4.67  % (1127288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/4.67  % (1127288)CaDiCaL version: 2.1.3
% 4.91/4.67  % (1127288)Termination reason: Instruction limit
% 4.91/4.67  % (1127288)Termination phase: shuffling
% 4.91/4.67  % (1127288)Time elapsed: 0.017 s
% 4.91/4.67  % (1127288)Peak memory usage: 26 MB
% 4.91/4.67  % (1127288)Instructions burned: 31 (million)
% 4.91/4.67  % (1127287)Instruction limit reached! 
% 4.91/4.67  % (1127287)------------------------------
% 4.91/4.67  % (1127287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.91/4.67  % (1127287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/4.67  % (1127287)CaDiCaL version: 2.1.3
% 4.91/4.67  % (1127287)Termination reason: Instruction limit
% 4.91/4.67  % (1127287)Termination phase: shuffling
% 5.43/4.72  % (1127287)Time elapsed: 0.018 s
% 5.43/4.72  % (1127287)Peak memory usage: 26 MB
% 5.43/4.72  % (1127287)Instructions burned: 13 (million)
% 5.43/4.72  % (1127292)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=1600399172:i=86:piset=equals:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/86Mi)
% 5.43/4.72  % (1127294)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 5.43/4.72  % (1127295)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1485038174:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/38Mi)
% 5.43/4.72  % (1127293)lrs+10_1_si=on:cs=on:random_seed=1820080873:i=8:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/8Mi)
% 5.43/4.72  % (1127294)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=1308784666:i=2:add=on:rtra=on_2992 on theBenchmark for (2992ds/2Mi)
% 5.43/4.72  % (1127294)Instruction limit reached! 
% 5.43/4.72  % (1127294)------------------------------
% 5.43/4.72  % (1127294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.43/4.72  % (1127294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/4.72  % (1127294)CaDiCaL version: 2.1.3
% 5.43/4.72  % (1127294)Termination reason: Instruction limit
% 5.43/4.72  % (1127294)Termination phase: shuffling
% 5.43/4.72  % (1127294)Time elapsed: 0.003 s
% 5.43/4.72  % (1127294)Peak memory usage: 25 MB
% 5.43/4.72  % (1127294)Instructions burned: 2 (million)
% 5.43/4.72  % (1127296)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3086131985:st=2:i=249:sd=1:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/249Mi)
% 5.43/4.72  % (1127293)Instruction limit reached! 
% 5.43/4.72  % (1127293)------------------------------
% 5.43/4.72  % (1127293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.43/4.72  % (1127293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/4.72  % (1127293)CaDiCaL version: 2.1.3
% 5.43/4.72  % (1127293)Termination reason: Instruction limit
% 5.43/4.72  % (1127293)Termination phase: shuffling
% 5.43/4.72  % (1127293)Time elapsed: 0.013 s
% 5.43/4.72  % (1127293)Peak memory usage: 25 MB
% 5.43/4.72  % (1127293)Instructions burned: 8 (million)
% 5.43/4.72  % (1127274)Instruction limit reached! 
% 5.43/4.72  % (1127274)------------------------------
% 5.43/4.72  % (1127274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.43/4.72  % (1127274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/4.72  % (1127274)CaDiCaL version: 2.1.3
% 5.43/4.72  % (1127274)Termination reason: Instruction limit
% 5.43/4.72  % (1127274)Termination phase: shuffling
% 5.43/4.72  % (1127274)Time elapsed: 0.090 s
% 5.43/4.72  % (1127274)Peak memory usage: 29 MB
% 5.43/4.72  % (1127274)Instructions burned: 158 (million)
% 5.43/4.72  % (1127295)Instruction limit reached! 
% 5.43/4.72  % (1127295)------------------------------
% 5.43/4.72  % (1127295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.43/4.72  % (1127295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/4.72  % (1127295)CaDiCaL version: 2.1.3
% 5.43/4.72  % (1127295)Termination reason: Instruction limit
% 5.43/4.72  % (1127295)Termination phase: shuffling
% 5.43/4.72  % (1127295)Time elapsed: 0.019 s
% 5.43/4.72  % (1127295)Peak memory usage: 26 MB
% 5.43/4.72  % (1127295)Instructions burned: 40 (million)
% 5.43/4.72  % (1127301)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2883339732:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/25Mi)
% 5.43/4.72  % (1127305)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=773517527:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2991 on theBenchmark for (2991ds/14Mi)
% 5.43/4.72  % (1127304)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1271663714:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/327Mi)
% 5.43/4.72  % (1127303)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3693195733:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2991 on theBenchmark for (2991ds/14Mi)
% 5.43/4.72  % (1127305)Instruction limit reached! 
% 5.43/4.72  % (1127305)------------------------------
% 5.43/4.72  % (1127305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.43/4.80  % (1127305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/4.80  % (1127305)CaDiCaL version: 2.1.3
% 5.43/4.80  % (1127305)Termination reason: Instruction limit
% 5.43/4.80  % (1127305)Termination phase: shuffling
% 5.43/4.80  % (1127305)Time elapsed: 0.011 s
% 5.43/4.80  % (1127305)Peak memory usage: 26 MB
% 5.43/4.80  % (1127305)Instructions burned: 15 (million)
% 5.43/4.80  % (1127292)Instruction limit reached! 
% 5.43/4.80  % (1127292)------------------------------
% 5.43/4.80  % (1127292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.43/4.80  % (1127292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/4.80  % (1127292)CaDiCaL version: 2.1.3
% 5.43/4.80  % (1127292)Termination reason: Instruction limit
% 5.43/4.80  % (1127292)Termination phase: shuffling
% 5.43/4.80  % (1127292)Time elapsed: 0.055 s
% 5.43/4.80  % (1127292)Peak memory usage: 27 MB
% 5.43/4.80  % (1127292)Instructions burned: 86 (million)
% 5.43/4.80  % (1127301)Instruction limit reached! 
% 5.43/4.80  % (1127301)------------------------------
% 5.43/4.80  % (1127301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.43/4.80  % (1127301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/4.80  % (1127301)CaDiCaL version: 2.1.3
% 5.43/4.80  % (1127301)Termination reason: Instruction limit
% 5.43/4.80  % (1127301)Termination phase: shuffling
% 5.43/4.80  % (1127301)Time elapsed: 0.025 s
% 5.43/4.80  % (1127301)Peak memory usage: 26 MB
% 5.43/4.80  % (1127301)Instructions burned: 25 (million)
% 5.43/4.80  % (1127310)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=4125096993:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2991 on theBenchmark for (2991ds/2Mi)
% 5.43/4.80  % (1127303)Instruction limit reached! 
% 5.43/4.80  % (1127303)------------------------------
% 5.43/4.80  % (1127303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.43/4.80  % (1127303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/4.80  % (1127303)CaDiCaL version: 2.1.3
% 5.43/4.80  % (1127303)Termination reason: Instruction limit
% 5.43/4.80  % (1127303)Termination phase: shuffling
% 5.43/4.80  % (1127303)Time elapsed: 0.019 s
% 5.43/4.80  % (1127303)Peak memory usage: 26 MB
% 5.43/4.80  % (1127303)Instructions burned: 14 (million)
% 5.43/4.80  % (1127310)Instruction limit reached! 
% 5.43/4.80  % (1127310)------------------------------
% 5.43/4.80  % (1127310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.43/4.80  % (1127310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/4.80  % (1127310)CaDiCaL version: 2.1.3
% 5.43/4.80  % (1127310)Termination reason: Instruction limit
% 5.43/4.80  % (1127310)Termination phase: shuffling
% 5.43/4.80  % (1127310)Time elapsed: 0.002 s
% 5.43/4.80  % (1127310)Peak memory usage: 25 MB
% 5.43/4.80  % (1127310)Instructions burned: 2 (million)
% 5.43/4.80  % (1127315)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.43/4.80  % (1127315)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 5.43/4.80  % (1127315)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=1664570317:i=14:add=off:nm=40:rtra=on:rawr=on_2991 on theBenchmark for (2991ds/14Mi)
% 5.43/4.80  % (1127311)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1077142259:i=26:ep=R:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/26Mi)
% 5.43/4.80  % (1127313)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1637437334:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2991 on theBenchmark for (2991ds/23Mi)
% 5.43/4.80  % (1127314)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=267571153:cond=on:i=60:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/60Mi)
% 5.43/4.80  % (1127315)Instruction limit reached! 
% 5.43/4.80  % (1127315)------------------------------
% 5.43/4.80  % (1127315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.43/4.80  % (1127315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/4.80  % (1127315)CaDiCaL version: 2.1.3
% 5.85/4.84  % (1127315)Termination reason: Instruction limit
% 5.85/4.84  % (1127315)Termination phase: shuffling
% 5.85/4.84  % (1127315)Time elapsed: 0.012 s
% 5.85/4.84  % (1127315)Peak memory usage: 26 MB
% 5.85/4.84  % (1127315)Instructions burned: 16 (million)
% 5.85/4.84  % (1127320)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 5.85/4.84  % (1127320)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=2748016655:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2991 on theBenchmark for (2991ds/8Mi)
% 5.85/4.84  % (1127313)Instruction limit reached! 
% 5.85/4.84  % (1127313)------------------------------
% 5.85/4.84  % (1127313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.85/4.84  % (1127313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/4.84  % (1127313)CaDiCaL version: 2.1.3
% 5.85/4.84  % (1127313)Termination reason: Instruction limit
% 5.85/4.84  % (1127313)Termination phase: shuffling
% 5.85/4.84  % (1127313)Time elapsed: 0.024 s
% 5.85/4.84  % (1127313)Peak memory usage: 26 MB
% 5.85/4.84  % (1127313)Instructions burned: 24 (million)
% 5.85/4.84  % (1127311)Instruction limit reached! 
% 5.85/4.84  % (1127311)------------------------------
% 5.85/4.84  % (1127311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.85/4.84  % (1127311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/4.84  % (1127311)CaDiCaL version: 2.1.3
% 5.85/4.84  % (1127311)Termination reason: Instruction limit
% 5.85/4.84  % (1127311)Termination phase: shuffling
% 5.85/4.84  % (1127311)Time elapsed: 0.027 s
% 5.85/4.84  % (1127311)Peak memory usage: 26 MB
% 5.85/4.84  % (1127311)Instructions burned: 28 (million)
% 5.85/4.84  % (1127320)Instruction limit reached! 
% 5.85/4.84  % (1127320)------------------------------
% 5.85/4.84  % (1127320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.85/4.84  % (1127320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/4.84  % (1127320)CaDiCaL version: 2.1.3
% 5.85/4.84  % (1127320)Termination reason: Instruction limit
% 5.85/4.84  % (1127320)Termination phase: shuffling
% 5.85/4.84  % (1127320)Time elapsed: 0.008 s
% 5.85/4.84  % (1127320)Peak memory usage: 25 MB
% 5.85/4.84  % (1127320)Instructions burned: 8 (million)
% 5.85/4.84  % (1127314)Instruction limit reached! 
% 5.85/4.84  % (1127314)------------------------------
% 5.85/4.84  % (1127314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.85/4.84  % (1127314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/4.84  % (1127314)CaDiCaL version: 2.1.3
% 5.85/4.84  % (1127314)Termination reason: Instruction limit
% 5.85/4.84  % (1127314)Termination phase: shuffling
% 5.85/4.84  % (1127314)Time elapsed: 0.040 s
% 5.85/4.84  % (1127314)Peak memory usage: 27 MB
% 5.85/4.84  % (1127314)Instructions burned: 60 (million)
% 5.85/4.84  % (1127324)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=104494806:i=23:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/23Mi)
% 5.85/4.84  % (1127322)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=3930981455:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2991 on theBenchmark for (2991ds/31Mi)
% 5.85/4.84  % (1127323)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2325056789:i=7:hud=5:bd=preordered:rtra=on:bet=on_2991 on theBenchmark for (2991ds/7Mi)
% 5.85/4.84  % (1127324)Instruction limit reached! 
% 5.85/4.84  % (1127324)------------------------------
% 5.85/4.84  % (1127324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.85/4.84  % (1127324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/4.84  % (1127324)CaDiCaL version: 2.1.3
% 5.85/4.84  % (1127324)Termination reason: Instruction limit
% 5.85/4.84  % (1127324)Termination phase: shuffling
% 5.85/4.84  % (1127324)Time elapsed: 0.015 s
% 5.85/4.84  % (1127324)Peak memory usage: 26 MB
% 5.85/4.84  % (1127324)Instructions burned: 24 (million)
% 5.85/4.84  % (1127323)Instruction limit reached! 
% 5.85/4.84  % (1127323)------------------------------
% 5.85/4.84  % (1127323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.85/4.84  % (1127323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/4.84  % (1127323)CaDiCaL version: 2.1.3
% 5.85/4.84  % (1127323)Termination reason: Instruction limit
% 6.75/4.93  % (1127323)Termination phase: shuffling
% 6.75/4.93  % (1127323)Time elapsed: 0.011 s
% 6.75/4.93  % (1127323)Peak memory usage: 25 MB
% 6.75/4.93  % (1127323)Instructions burned: 7 (million)
% 6.75/4.93  % (1127326)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1831080263:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2990 on theBenchmark for (2990ds/20Mi)
% 6.75/4.93  % (1127296)Instruction limit reached! 
% 6.75/4.93  % (1127296)------------------------------
% 6.75/4.93  % (1127296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/4.93  % (1127296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/4.93  % (1127296)CaDiCaL version: 2.1.3
% 6.75/4.93  % (1127296)Termination reason: Instruction limit
% 6.75/4.93  % (1127296)Termination phase: shuffling
% 6.75/4.93  % (1127296)Time elapsed: 0.134 s
% 6.75/4.93  % (1127296)Peak memory usage: 30 MB
% 6.75/4.93  % (1127296)Instructions burned: 249 (million)
% 6.75/4.93  % (1127322)Instruction limit reached! 
% 6.75/4.93  % (1127322)------------------------------
% 6.75/4.93  % (1127322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/4.93  % (1127322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/4.93  % (1127322)CaDiCaL version: 2.1.3
% 6.75/4.93  % (1127322)Termination reason: Instruction limit
% 6.75/4.93  % (1127322)Termination phase: shuffling
% 6.75/4.93  % (1127322)Time elapsed: 0.029 s
% 6.75/4.93  % (1127322)Peak memory usage: 26 MB
% 6.75/4.93  % (1127322)Instructions burned: 33 (million)
% 6.75/4.93  % (1127329)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2004428424:i=1240:rtra=on:ixr=off_2990 on theBenchmark for (2990ds/1240Mi)
% 6.75/4.93  % (1127330)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2638222579:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/143Mi)
% 6.75/4.93  % (1127332)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=4239249349:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/193Mi)
% 6.75/4.93  % (1127326)Instruction limit reached! 
% 6.75/4.93  % (1127326)------------------------------
% 6.75/4.93  % (1127326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/4.93  % (1127326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/4.93  % (1127326)CaDiCaL version: 2.1.3
% 6.75/4.93  % (1127326)Termination reason: Instruction limit
% 6.75/4.93  % (1127326)Termination phase: shuffling
% 6.75/4.93  % (1127326)Time elapsed: 0.023 s
% 6.75/4.93  % (1127326)Peak memory usage: 26 MB
% 6.75/4.93  % (1127326)Instructions burned: 20 (million)
% 6.75/4.93  % (1127333)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1215919915:i=42:hud=10:rtra=on_2990 on theBenchmark for (2990ds/42Mi)
% 6.75/4.93  % (1127337)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 6.75/4.93  % (1127337)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3385163672:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2990 on theBenchmark for (2990ds/7Mi)
% 6.75/4.93  % (1127337)Instruction limit reached! 
% 6.75/4.93  % (1127337)------------------------------
% 6.75/4.93  % (1127337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/4.93  % (1127337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/4.93  % (1127337)CaDiCaL version: 2.1.3
% 6.75/4.93  % (1127337)Termination reason: Instruction limit
% 6.75/4.93  % (1127337)Termination phase: shuffling
% 6.75/4.93  % (1127337)Time elapsed: 0.012 s
% 6.75/4.93  % (1127337)Peak memory usage: 25 MB
% 6.75/4.93  % (1127337)Instructions burned: 7 (million)
% 6.75/4.93  % (1127304)Instruction limit reached! 
% 6.75/4.93  % (1127304)------------------------------
% 6.75/4.93  % (1127304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/4.93  % (1127304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/4.93  % (1127304)CaDiCaL version: 2.1.3
% 6.75/4.93  % (1127304)Termination reason: Instruction limit
% 6.75/4.93  % (1127304)Termination phase: shuffling
% 6.75/4.93  % (1127304)Time elapsed: 0.171 s
% 6.75/4.93  % (1127304)Peak memory usage: 31 MB
% 6.75/4.93  % (1127304)Instructions burned: 329 (million)
% 6.75/4.93  % (1127333)Instruction limit reached! 
% 6.75/4.93  % (1127333)------------------------------
% 6.75/4.93  % (1127333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/5.03  % (1127333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/5.03  % (1127333)CaDiCaL version: 2.1.3
% 8.18/5.03  % (1127333)Termination reason: Instruction limit
% 8.18/5.03  % (1127333)Termination phase: shuffling
% 8.18/5.03  % (1127333)Time elapsed: 0.035 s
% 8.18/5.03  % (1127333)Peak memory usage: 26 MB
% 8.18/5.03  % (1127333)Instructions burned: 44 (million)
% 8.18/5.03  % (1127332)Instruction limit reached! 
% 8.18/5.03  % (1127332)------------------------------
% 8.18/5.03  % (1127332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/5.03  % (1127332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/5.03  % (1127332)CaDiCaL version: 2.1.3
% 8.18/5.03  % (1127332)Termination reason: Instruction limit
% 8.18/5.03  % (1127332)Termination phase: shuffling
% 8.18/5.03  % (1127332)Time elapsed: 0.059 s
% 8.18/5.03  % (1127332)Peak memory usage: 29 MB
% 8.18/5.03  % (1127332)Instructions burned: 193 (million)
% 8.18/5.03  % (1127340)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1664457773:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/181Mi)
% 8.18/5.03  % (1127342)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 8.18/5.03  % (1127344)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3864484181:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2989 on theBenchmark for (2989ds/22Mi)
% 8.18/5.03  % (1127341)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=4217389754:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2989 on theBenchmark for (2989ds/169Mi)
% 8.18/5.03  % (1127342)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3295951687:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2989 on theBenchmark for (2989ds/6Mi)
% 8.18/5.03  % (1127330)Instruction limit reached! 
% 8.18/5.03  % (1127330)------------------------------
% 8.18/5.03  % (1127330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/5.03  % (1127330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/5.03  % (1127330)CaDiCaL version: 2.1.3
% 8.18/5.03  % (1127330)Termination reason: Instruction limit
% 8.18/5.03  % (1127330)Termination phase: shuffling
% 8.18/5.03  % (1127330)Time elapsed: 0.082 s
% 8.18/5.03  % (1127330)Peak memory usage: 28 MB
% 8.18/5.03  % (1127330)Instructions burned: 145 (million)
% 8.18/5.03  % (1127271)Instruction limit reached! 
% 8.18/5.03  % (1127271)------------------------------
% 8.18/5.03  % (1127271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/5.03  % (1127271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/5.03  % (1127271)CaDiCaL version: 2.1.3
% 8.18/5.03  % (1127271)Termination reason: Instruction limit
% 8.18/5.03  % (1127271)Termination phase: shuffling
% 8.18/5.03  % (1127271)Time elapsed: 0.315 s
% 8.18/5.03  % (1127271)Peak memory usage: 29 MB
% 8.18/5.03  % (1127271)Instructions burned: 634 (million)
% 8.18/5.03  % (1127342)Instruction limit reached! 
% 8.18/5.03  % (1127342)------------------------------
% 8.18/5.03  % (1127342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/5.03  % (1127342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/5.03  % (1127342)CaDiCaL version: 2.1.3
% 8.18/5.03  % (1127342)Termination reason: Instruction limit
% 8.18/5.03  % (1127342)Termination phase: shuffling
% 8.18/5.03  % (1127342)Time elapsed: 0.009 s
% 8.18/5.03  % (1127342)Peak memory usage: 24 MB
% 8.18/5.03  % (1127342)Instructions burned: 6 (million)
% 8.18/5.03  % (1127344)Instruction limit reached! 
% 8.18/5.03  % (1127344)------------------------------
% 8.18/5.03  % (1127344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/5.03  % (1127344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/5.03  % (1127344)CaDiCaL version: 2.1.3
% 8.18/5.03  % (1127344)Termination reason: Instruction limit
% 8.18/5.03  % (1127344)Termination phase: shuffling
% 8.18/5.03  % (1127344)Time elapsed: 0.015 s
% 8.18/5.03  % (1127344)Peak memory usage: 26 MB
% 8.18/5.03  % (1127344)Instructions burned: 24 (million)
% 8.18/5.03  % (1127351)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=336529188:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2989 on theBenchmark for (2989ds/45Mi)
% 8.60/5.15  % (1127348)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2378572477:i=19:add=on:rtra=on_2989 on theBenchmark for (2989ds/19Mi)
% 8.60/5.15  % (1127349)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=378670026:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/316Mi)
% 8.60/5.15  % (1127350)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=3586854093:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2989 on theBenchmark for (2989ds/853Mi)
% 8.60/5.15  % (1127351)Instruction limit reached! 
% 8.60/5.15  % (1127351)------------------------------
% 8.60/5.15  % (1127351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.60/5.15  % (1127351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/5.15  % (1127351)CaDiCaL version: 2.1.3
% 8.60/5.15  % (1127351)Termination reason: Instruction limit
% 8.60/5.15  % (1127351)Termination phase: Property scanning
% 8.60/5.15  % (1127351)Time elapsed: 0.019 s
% 8.60/5.15  % (1127351)Peak memory usage: 26 MB
% 8.60/5.15  % (1127351)Instructions burned: 48 (million)
% 8.60/5.15  % (1127348)Instruction limit reached! 
% 8.60/5.15  % (1127348)------------------------------
% 8.60/5.15  % (1127348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.60/5.15  % (1127348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/5.15  % (1127348)CaDiCaL version: 2.1.3
% 8.60/5.15  % (1127348)Termination reason: Instruction limit
% 8.60/5.15  % (1127348)Termination phase: shuffling
% 8.60/5.15  % (1127348)Time elapsed: 0.023 s
% 8.60/5.15  % (1127348)Peak memory usage: 26 MB
% 8.60/5.15  % (1127348)Instructions burned: 21 (million)
% 8.60/5.15  % (1127356)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=4159967201:i=480:rtra=on_2989 on theBenchmark for (2989ds/480Mi)
% 8.60/5.15  % (1127357)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=925326361:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2989 on theBenchmark for (2989ds/21Mi)
% 8.60/5.15  % (1127340)Instruction limit reached! 
% 8.60/5.15  % (1127340)------------------------------
% 8.60/5.15  % (1127340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.60/5.15  % (1127340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/5.15  % (1127340)CaDiCaL version: 2.1.3
% 8.60/5.15  % (1127340)Termination reason: Instruction limit
% 8.60/5.15  % (1127340)Termination phase: shuffling
% 8.60/5.15  % (1127340)Time elapsed: 0.100 s
% 8.60/5.15  % (1127340)Peak memory usage: 29 MB
% 8.60/5.15  % (1127340)Instructions burned: 181 (million)
% 8.60/5.15  % (1127341)Instruction limit reached! 
% 8.60/5.15  % (1127341)------------------------------
% 8.60/5.15  % (1127341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.60/5.15  % (1127341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/5.15  % (1127341)CaDiCaL version: 2.1.3
% 8.60/5.15  % (1127341)Termination reason: Instruction limit
% 8.60/5.15  % (1127341)Termination phase: shuffling
% 8.60/5.15  % (1127341)Time elapsed: 0.094 s
% 8.60/5.15  % (1127341)Peak memory usage: 29 MB
% 8.60/5.15  % (1127341)Instructions burned: 170 (million)
% 8.60/5.15  % (1127357)Instruction limit reached! 
% 8.60/5.15  % (1127357)------------------------------
% 8.60/5.15  % (1127357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.60/5.15  % (1127357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/5.15  % (1127357)CaDiCaL version: 2.1.3
% 8.60/5.15  % (1127357)Termination reason: Instruction limit
% 8.60/5.15  % (1127357)Termination phase: shuffling
% 8.60/5.15  % (1127357)Time elapsed: 0.024 s
% 8.60/5.15  % (1127357)Peak memory usage: 26 MB
% 8.60/5.15  % (1127357)Instructions burned: 22 (million)
% 8.60/5.15  % (1127360)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 8.60/5.15  % (1127360)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=742896834:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/200Mi)
% 9.10/5.28  % (1127361)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1325485954:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2988 on theBenchmark for (2988ds/13Mi)
% 9.10/5.28  % (1127362)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=4044239495:i=66:s2at=3:nm=2:rtra=on:rawr=on_2988 on theBenchmark for (2988ds/66Mi)
% 9.10/5.28  % (1127361)Instruction limit reached! 
% 9.10/5.28  % (1127361)------------------------------
% 9.10/5.28  % (1127361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.10/5.28  % (1127361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.10/5.28  % (1127361)CaDiCaL version: 2.1.3
% 9.10/5.28  % (1127361)Termination reason: Instruction limit
% 9.10/5.28  % (1127361)Termination phase: shuffling
% 9.10/5.28  % (1127361)Time elapsed: 0.018 s
% 9.10/5.28  % (1127361)Peak memory usage: 26 MB
% 9.10/5.28  % (1127361)Instructions burned: 13 (million)
% 9.10/5.28  % (1127366)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2381637847:i=51:fsr=off:rtra=on_2988 on theBenchmark for (2988ds/51Mi)
% 9.10/5.28  % (1127362)Instruction limit reached! 
% 9.10/5.28  % (1127362)------------------------------
% 9.10/5.28  % (1127362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.10/5.28  % (1127362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.10/5.28  % (1127362)CaDiCaL version: 2.1.3
% 9.10/5.28  % (1127362)Termination reason: Instruction limit
% 9.10/5.28  % (1127362)Termination phase: shuffling
% 9.10/5.28  % (1127362)Time elapsed: 0.043 s
% 9.10/5.28  % (1127362)Peak memory usage: 27 MB
% 9.10/5.28  % (1127362)Instructions burned: 66 (million)
% 9.10/5.28  % (1127368)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2806046282:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/31Mi)
% 9.10/5.28  % (1127356)Instruction limit reached! 
% 9.10/5.28  % (1127356)------------------------------
% 9.10/5.28  % (1127356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.10/5.28  % (1127356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.10/5.28  % (1127356)CaDiCaL version: 2.1.3
% 9.10/5.28  % (1127356)Termination reason: Instruction limit
% 9.10/5.28  % (1127356)Termination phase: shuffling
% 9.10/5.28  % (1127356)Time elapsed: 0.133 s
% 9.10/5.28  % (1127356)Peak memory usage: 34 MB
% 9.10/5.28  % (1127356)Instructions burned: 480 (million)
% 9.10/5.28  % (1127366)Instruction limit reached! 
% 9.10/5.28  % (1127366)------------------------------
% 9.10/5.28  % (1127366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.10/5.28  % (1127366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.10/5.28  % (1127366)CaDiCaL version: 2.1.3
% 9.10/5.28  % (1127366)Termination reason: Instruction limit
% 9.10/5.28  % (1127366)Termination phase: shuffling
% 9.10/5.28  % (1127366)Time elapsed: 0.038 s
% 9.10/5.28  % (1127366)Peak memory usage: 26 MB
% 9.10/5.28  % (1127366)Instructions burned: 51 (million)
% 9.10/5.28  % (1127349)Instruction limit reached! 
% 9.10/5.28  % (1127349)------------------------------
% 9.10/5.28  % (1127349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.10/5.28  % (1127349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.10/5.28  % (1127349)CaDiCaL version: 2.1.3
% 9.10/5.28  % (1127349)Termination reason: Instruction limit
% 9.10/5.28  % (1127349)Termination phase: shuffling
% 9.10/5.28  % (1127349)Time elapsed: 0.164 s
% 9.10/5.28  % (1127349)Peak memory usage: 32 MB
% 9.10/5.28  % (1127349)Instructions burned: 317 (million)
% 9.10/5.28  % (1127370)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3322375225:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2987 on theBenchmark for (2987ds/137Mi)
% 9.10/5.28  % (1127368)Instruction limit reached! 
% 9.10/5.28  % (1127368)------------------------------
% 9.10/5.28  % (1127368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.10/5.28  % (1127368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.10/5.28  % (1127368)CaDiCaL version: 2.1.3
% 9.10/5.28  % (1127368)Termination reason: Instruction limit
% 9.10/5.28  % (1127368)Termination phase: shuffling
% 9.10/5.28  % (1127368)Time elapsed: 0.029 s
% 9.10/5.28  % (1127368)Peak memory usage: 26 MB
% 9.10/5.28  % (1127368)Instructions burned: 32 (million)
% 9.96/5.43  % (1127371)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=2230992217:cond=on:i=34:hud=10:nm=10:rtra=on_2987 on theBenchmark for (2987ds/34Mi)
% 9.96/5.43  % (1127372)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1323156817:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2987 on theBenchmark for (2987ds/67Mi)
% 9.96/5.43  % (1127360)Instruction limit reached! 
% 9.96/5.43  % (1127360)------------------------------
% 9.96/5.43  % (1127360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.96/5.43  % (1127360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/5.43  % (1127360)CaDiCaL version: 2.1.3
% 9.96/5.43  % (1127360)Termination reason: Instruction limit
% 9.96/5.43  % (1127360)Termination phase: shuffling
% 9.96/5.43  % (1127360)Time elapsed: 0.109 s
% 9.96/5.43  % (1127360)Peak memory usage: 29 MB
% 9.96/5.43  % (1127360)Instructions burned: 200 (million)
% 9.96/5.43  % (1127375)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 9.96/5.43  % (1127375)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1282773606:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2987 on theBenchmark for (2987ds/180Mi)
% 9.96/5.43  % (1127377)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1294729256:st=2:i=246:sd=3:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/246Mi)
% 9.96/5.43  % (1127371)Instruction limit reached! 
% 9.96/5.43  % (1127371)------------------------------
% 9.96/5.43  % (1127371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.96/5.43  % (1127371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/5.43  % (1127371)CaDiCaL version: 2.1.3
% 9.96/5.43  % (1127371)Termination reason: Instruction limit
% 9.96/5.43  % (1127371)Termination phase: shuffling
% 9.96/5.43  % (1127371)Time elapsed: 0.030 s
% 9.96/5.43  % (1127371)Peak memory usage: 26 MB
% 9.96/5.43  % (1127371)Instructions burned: 35 (million)
% 9.96/5.43  % (1127370)Instruction limit reached! 
% 9.96/5.43  % (1127370)------------------------------
% 9.96/5.43  % (1127370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.96/5.43  % (1127370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/5.43  % (1127370)CaDiCaL version: 2.1.3
% 9.96/5.43  % (1127370)Termination reason: Instruction limit
% 9.96/5.43  % (1127370)Termination phase: shuffling
% 9.96/5.43  % (1127370)Time elapsed: 0.046 s
% 9.96/5.43  % (1127370)Peak memory usage: 28 MB
% 9.96/5.43  % (1127370)Instructions burned: 140 (million)
% 9.96/5.43  % (1127372)Instruction limit reached! 
% 9.96/5.43  % (1127372)------------------------------
% 9.96/5.43  % (1127372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.96/5.43  % (1127372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/5.43  % (1127372)CaDiCaL version: 2.1.3
% 9.96/5.43  % (1127372)Termination reason: Instruction limit
% 9.96/5.43  % (1127372)Termination phase: shuffling
% 9.96/5.43  % (1127372)Time elapsed: 0.045 s
% 9.96/5.43  % (1127372)Peak memory usage: 27 MB
% 9.96/5.43  % (1127372)Instructions burned: 68 (million)
% 9.96/5.43  % (1127381)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=631907559:i=427:sd=1:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/427Mi)
% 9.96/5.43  % (1127380)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=743069563:cond=on:i=96:bd=all:rtra=on_2987 on theBenchmark for (2987ds/96Mi)
% 9.96/5.43  % (1127383)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=419389023:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/874Mi)
% 9.96/5.43  % (1127380)Instruction limit reached! 
% 9.96/5.43  % (1127380)------------------------------
% 9.96/5.43  % (1127380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.96/5.43  % (1127380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/5.43  % (1127380)CaDiCaL version: 2.1.3
% 9.96/5.43  % (1127380)Termination reason: Instruction limit
% 9.96/5.43  % (1127380)Termination phase: shuffling
% 9.96/5.43  % (1127380)Time elapsed: 0.059 s
% 9.96/5.43  % (1127380)Peak memory usage: 27 MB
% 9.96/5.43  % (1127380)Instructions burned: 96 (million)
% 9.96/5.43  % (1127375)Instruction limit reached! 
% 9.96/5.43  % (1127375)------------------------------
% 9.96/5.43  % (1127375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.96/5.43  % (1127375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/5.54  % (1127375)CaDiCaL version: 2.1.3
% 10.39/5.54  % (1127375)Termination reason: Instruction limit
% 10.39/5.54  % (1127375)Termination phase: shuffling
% 10.39/5.54  % (1127375)Time elapsed: 0.099 s
% 10.39/5.54  % (1127375)Peak memory usage: 29 MB
% 10.39/5.54  % (1127375)Instructions burned: 182 (million)
% 10.39/5.54  % (1127386)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1855773382:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/515Mi)
% 10.39/5.54  % (1127387)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3787113802:st=1.5:i=130:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/130Mi)
% 10.39/5.54  % (1127377)Instruction limit reached! 
% 10.39/5.54  % (1127377)------------------------------
% 10.39/5.54  % (1127377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/5.54  % (1127377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/5.54  % (1127377)CaDiCaL version: 2.1.3
% 10.39/5.54  % (1127377)Termination reason: Instruction limit
% 10.39/5.54  % (1127377)Termination phase: shuffling
% 10.39/5.54  % (1127377)Time elapsed: 0.131 s
% 10.39/5.54  % (1127377)Peak memory usage: 30 MB
% 10.39/5.54  % (1127377)Instructions burned: 248 (million)
% 10.39/5.54  % (1127381)Instruction limit reached! 
% 10.39/5.54  % (1127381)------------------------------
% 10.39/5.54  % (1127381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/5.54  % (1127381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/5.54  % (1127381)CaDiCaL version: 2.1.3
% 10.39/5.54  % (1127381)Termination reason: Instruction limit
% 10.39/5.54  % (1127381)Termination phase: shuffling
% 10.39/5.54  % (1127381)Time elapsed: 0.120 s
% 10.39/5.54  % (1127381)Peak memory usage: 33 MB
% 10.39/5.54  % (1127381)Instructions burned: 430 (million)
% 10.39/5.54  % (1127390)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=651043720:i=44:ep=R:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/44Mi)
% 10.39/5.54  % (1127391)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2288326542:s2a=on:i=571:nm=16:rtra=on_2985 on theBenchmark for (2985ds/571Mi)
% 10.39/5.54  % (1127390)Instruction limit reached! 
% 10.39/5.54  % (1127390)------------------------------
% 10.39/5.54  % (1127390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/5.54  % (1127390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/5.54  % (1127390)CaDiCaL version: 2.1.3
% 10.39/5.54  % (1127390)Termination reason: Instruction limit
% 10.39/5.54  % (1127390)Termination phase: shuffling
% 10.39/5.54  % (1127390)Time elapsed: 0.034 s
% 10.39/5.54  % (1127390)Peak memory usage: 26 MB
% 10.39/5.54  % (1127390)Instructions burned: 46 (million)
% 10.39/5.54  % (1127387)Instruction limit reached! 
% 10.39/5.54  % (1127387)------------------------------
% 10.39/5.54  % (1127387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/5.54  % (1127387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/5.54  % (1127387)CaDiCaL version: 2.1.3
% 10.39/5.54  % (1127387)Termination reason: Instruction limit
% 10.39/5.54  % (1127387)Termination phase: shuffling
% 10.39/5.54  % (1127387)Time elapsed: 0.075 s
% 10.39/5.54  % (1127387)Peak memory usage: 28 MB
% 10.39/5.54  % (1127387)Instructions burned: 131 (million)
% 10.39/5.54  % (1127350)Instruction limit reached! 
% 10.39/5.54  % (1127350)------------------------------
% 10.39/5.54  % (1127350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/5.54  % (1127350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/5.54  % (1127350)CaDiCaL version: 2.1.3
% 10.39/5.54  % (1127350)Termination reason: Instruction limit
% 10.39/5.54  % (1127350)Termination phase: shuffling
% 10.39/5.54  % (1127350)Time elapsed: 0.411 s
% 10.39/5.54  % (1127350)Peak memory usage: 33 MB
% 10.39/5.54  % (1127350)Instructions burned: 855 (million)
% 10.39/5.54  % (1127394)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2709672046:i=450:rtra=on:ixr=off:ntd=on_2985 on theBenchmark for (2985ds/450Mi)
% 10.39/5.54  % (1127395)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2020994600:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/95Mi)
% 10.39/5.54  % (1127396)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=3979883399:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2985 on theBenchmark for (2985ds/65Mi)
% 11.71/5.67  % (1127396)Instruction limit reached! 
% 11.71/5.67  % (1127396)------------------------------
% 11.71/5.67  % (1127396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.71/5.67  % (1127396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.71/5.67  % (1127396)CaDiCaL version: 2.1.3
% 11.71/5.67  % (1127396)Termination reason: Instruction limit
% 11.71/5.67  % (1127396)Termination phase: shuffling
% 11.71/5.67  % (1127396)Time elapsed: 0.045 s
% 11.71/5.67  % (1127396)Peak memory usage: 27 MB
% 11.71/5.67  % (1127396)Instructions burned: 65 (million)
% 11.71/5.67  % (1127395)Instruction limit reached! 
% 11.71/5.67  % (1127395)------------------------------
% 11.71/5.67  % (1127395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.71/5.67  % (1127395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.71/5.67  % (1127395)CaDiCaL version: 2.1.3
% 11.71/5.67  % (1127395)Termination reason: Instruction limit
% 11.71/5.67  % (1127395)Termination phase: shuffling
% 11.71/5.67  % (1127395)Time elapsed: 0.059 s
% 11.71/5.67  % (1127395)Peak memory usage: 27 MB
% 11.71/5.67  % (1127395)Instructions burned: 97 (million)
% 11.71/5.67  % (1127400)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=3391828190:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2984 on theBenchmark for (2984ds/105Mi)
% 11.71/5.67  % (1127401)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=932792122:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2984 on theBenchmark for (2984ds/5755Mi)
% 11.71/5.67  % (1127329)Instruction limit reached! 
% 11.71/5.67  % (1127329)------------------------------
% 11.71/5.67  % (1127329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.71/5.67  % (1127329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.71/5.67  % (1127329)CaDiCaL version: 2.1.3
% 11.71/5.67  % (1127329)Termination reason: Instruction limit
% 11.71/5.67  % (1127329)Termination phase: shuffling
% 11.71/5.67  % (1127329)Time elapsed: 0.618 s
% 11.71/5.67  % (1127329)Peak memory usage: 51 MB
% 11.71/5.67  % (1127329)Instructions burned: 1241 (million)
% 11.71/5.67  % (1127391)Instruction limit reached! 
% 11.71/5.67  % (1127391)------------------------------
% 11.71/5.67  % (1127391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.71/5.67  % (1127391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.71/5.67  % (1127391)CaDiCaL version: 2.1.3
% 11.71/5.67  % (1127391)Termination reason: Instruction limit
% 11.71/5.67  % (1127391)Termination phase: shuffling
% 11.71/5.67  % (1127391)Time elapsed: 0.158 s
% 11.71/5.67  % (1127391)Peak memory usage: 36 MB
% 11.71/5.67  % (1127391)Instructions burned: 574 (million)
% 11.71/5.67  % (1127405)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2907258212:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2984 on theBenchmark for (2984ds/495Mi)
% 11.71/5.67  % (1127404)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=3648143810:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/375Mi)
% 11.71/5.67  % (1127400)Instruction limit reached! 
% 11.71/5.67  % (1127400)------------------------------
% 11.71/5.67  % (1127400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.71/5.67  % (1127400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.71/5.67  % (1127400)CaDiCaL version: 2.1.3
% 11.71/5.67  % (1127400)Termination reason: Instruction limit
% 11.71/5.67  % (1127400)Termination phase: shuffling
% 11.71/5.67  % (1127400)Time elapsed: 0.063 s
% 11.71/5.67  % (1127400)Peak memory usage: 27 MB
% 11.71/5.67  % (1127400)Instructions burned: 106 (million)
% 11.71/5.67  % (1127386)Instruction limit reached! 
% 11.71/5.67  % (1127386)------------------------------
% 11.71/5.67  % (1127386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.71/5.67  % (1127386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.71/5.67  % (1127386)CaDiCaL version: 2.1.3
% 11.71/5.67  % (1127386)Termination reason: Instruction limit
% 11.71/5.67  % (1127386)Termination phase: shuffling
% 11.71/5.67  % (1127386)Time elapsed: 0.261 s
% 12.17/5.77  % (1127386)Peak memory usage: 34 MB
% 12.17/5.77  % (1127386)Instructions burned: 517 (million)
% 12.17/5.77  % (1127408)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=3902247995:cond=on:i=34:hud=10:nm=10:rtra=on_2983 on theBenchmark for (2983ds/34Mi)
% 12.17/5.77  % (1127409)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=1988902783:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2983 on theBenchmark for (2983ds/91Mi)
% 12.17/5.77  % (1127408)Instruction limit reached! 
% 12.17/5.77  % (1127408)------------------------------
% 12.17/5.77  % (1127408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/5.77  % (1127408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/5.77  % (1127408)CaDiCaL version: 2.1.3
% 12.17/5.77  % (1127408)Termination reason: Instruction limit
% 12.17/5.77  % (1127408)Termination phase: shuffling
% 12.17/5.77  % (1127408)Time elapsed: 0.030 s
% 12.17/5.77  % (1127408)Peak memory usage: 26 MB
% 12.17/5.77  % (1127408)Instructions burned: 34 (million)
% 12.17/5.77  % (1127412)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=2825090012:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2983 on theBenchmark for (2983ds/66Mi)
% 12.17/5.77  % (1127394)Instruction limit reached! 
% 12.17/5.77  % (1127394)------------------------------
% 12.17/5.77  % (1127394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/5.77  % (1127394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/5.77  % (1127394)CaDiCaL version: 2.1.3
% 12.17/5.77  % (1127394)Termination reason: Instruction limit
% 12.17/5.77  % (1127394)Termination phase: shuffling
% 12.17/5.77  % (1127394)Time elapsed: 0.230 s
% 12.17/5.77  % (1127394)Peak memory usage: 33 MB
% 12.17/5.77  % (1127394)Instructions burned: 452 (million)
% 12.17/5.77  % (1127409)Instruction limit reached! 
% 12.17/5.77  % (1127409)------------------------------
% 12.17/5.77  % (1127409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/5.77  % (1127409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/5.77  % (1127409)CaDiCaL version: 2.1.3
% 12.17/5.77  % (1127409)Termination reason: Instruction limit
% 12.17/5.77  % (1127409)Termination phase: shuffling
% 12.17/5.77  % (1127409)Time elapsed: 0.058 s
% 12.17/5.77  % (1127409)Peak memory usage: 27 MB
% 12.17/5.77  % (1127409)Instructions burned: 93 (million)
% 12.17/5.77  % (1127414)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3950767370:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2982 on theBenchmark for (2982ds/22Mi)
% 12.17/5.77  % (1127405)Instruction limit reached! 
% 12.17/5.77  % (1127405)------------------------------
% 12.17/5.77  % (1127405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/5.77  % (1127405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/5.77  % (1127405)CaDiCaL version: 2.1.3
% 12.17/5.77  % (1127405)Termination reason: Instruction limit
% 12.17/5.77  % (1127405)Termination phase: shuffling
% 12.17/5.77  % (1127405)Time elapsed: 0.138 s
% 12.17/5.77  % (1127405)Peak memory usage: 34 MB
% 12.17/5.77  % (1127405)Instructions burned: 498 (million)
% 12.17/5.77  % (1127415)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=778579473:i=338:bd=all:ins=4:rtra=on_2982 on theBenchmark for (2982ds/338Mi)
% 12.17/5.77  % (1127412)Instruction limit reached! 
% 12.17/5.77  % (1127412)------------------------------
% 12.17/5.77  % (1127412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/5.77  % (1127412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/5.77  % (1127412)CaDiCaL version: 2.1.3
% 12.17/5.77  % (1127412)Termination reason: Instruction limit
% 12.17/5.77  % (1127412)Termination phase: shuffling
% 12.17/5.77  % (1127412)Time elapsed: 0.045 s
% 12.17/5.77  % (1127412)Peak memory usage: 27 MB
% 12.17/5.77  % (1127412)Instructions burned: 66 (million)
% 12.17/5.77  % (1127417)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1741896696:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2982 on theBenchmark for (2982ds/28Mi)
% 12.17/5.77  % (1127383)Instruction limit reached! 
% 12.17/5.77  % (1127383)------------------------------
% 12.17/5.77  % (1127383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/5.77  % (1127383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.88/5.98  % (1127383)CaDiCaL version: 2.1.3
% 12.88/5.98  % (1127383)Termination reason: Instruction limit
% 12.88/5.98  % (1127383)Termination phase: shuffling
% 12.88/5.98  % (1127383)Time elapsed: 0.436 s
% 12.88/5.98  % (1127383)Peak memory usage: 42 MB
% 12.88/5.98  % (1127383)Instructions burned: 875 (million)
% 12.88/5.98  % (1127414)Instruction limit reached! 
% 12.88/5.98  % (1127414)------------------------------
% 12.88/5.98  % (1127414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.88/5.98  % (1127414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.88/5.98  % (1127414)CaDiCaL version: 2.1.3
% 12.88/5.98  % (1127414)Termination reason: Instruction limit
% 12.88/5.98  % (1127414)Termination phase: shuffling
% 12.88/5.98  % (1127414)Time elapsed: 0.024 s
% 12.88/5.98  % (1127414)Peak memory usage: 26 MB
% 12.88/5.98  % (1127414)Instructions burned: 22 (million)
% 12.88/5.98  % (1127419)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 12.88/5.98  % (1127417)Instruction limit reached! 
% 12.88/5.98  % (1127417)------------------------------
% 12.88/5.98  % (1127417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.88/5.98  % (1127417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.88/5.98  % (1127417)CaDiCaL version: 2.1.3
% 12.88/5.98  % (1127417)Termination reason: Instruction limit
% 12.88/5.98  % (1127417)Termination phase: shuffling
% 12.88/5.98  % (1127417)Time elapsed: 0.016 s
% 12.88/5.98  % (1127417)Peak memory usage: 26 MB
% 12.88/5.98  % (1127417)Instructions burned: 31 (million)
% 12.88/5.98  % (1127419)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=1330489349:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2982 on theBenchmark for (2982ds/137Mi)
% 12.88/5.98  % (1127421)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=1086571696:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2982 on theBenchmark for (2982ds/340Mi)
% 12.88/5.98  % (1127424)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 12.88/5.98  % (1127424)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2012598947:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/373Mi)
% 12.88/5.98  % (1127422)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=3884808967:i=227:sd=1:bd=all:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/227Mi)
% 12.88/5.98  % (1127404)Instruction limit reached! 
% 12.88/5.98  % (1127404)------------------------------
% 12.88/5.98  % (1127404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.88/5.98  % (1127404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.88/5.98  % (1127404)CaDiCaL version: 2.1.3
% 12.88/5.98  % (1127404)Termination reason: Instruction limit
% 12.88/5.98  % (1127404)Termination phase: shuffling
% 12.88/5.98  % (1127404)Time elapsed: 0.194 s
% 12.88/5.98  % (1127404)Peak memory usage: 32 MB
% 12.88/5.98  % (1127404)Instructions burned: 375 (million)
% 12.88/5.98  % (1127428)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=461094366:i=116:ep=RSTC:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/116Mi)
% 12.88/5.98  % (1127419)Instruction limit reached! 
% 12.88/5.98  % (1127419)------------------------------
% 12.88/5.98  % (1127419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.88/5.98  % (1127419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.88/5.98  % (1127419)CaDiCaL version: 2.1.3
% 12.88/5.98  % (1127419)Termination reason: Instruction limit
% 12.88/5.98  % (1127419)Termination phase: shuffling
% 12.88/5.98  % (1127419)Time elapsed: 0.078 s
% 12.88/5.98  % (1127419)Peak memory usage: 28 MB
% 12.88/5.98  % (1127419)Instructions burned: 137 (million)
% 12.88/5.98  % (1127430)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=4038599977:i=575:rtra=on_2981 on theBenchmark for (2981ds/575Mi)
% 12.88/5.98  % (1127424)Instruction limit reached! 
% 12.88/5.98  % (1127424)------------------------------
% 12.88/5.98  % (1127424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.88/5.98  % (1127424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.88/5.98  % (1127424)CaDiCaL version: 2.1.3
% 15.80/6.19  % (1127424)Termination reason: Instruction limit
% 15.80/6.19  % (1127424)Termination phase: shuffling
% 15.80/6.19  % (1127424)Time elapsed: 0.105 s
% 15.80/6.19  % (1127424)Peak memory usage: 33 MB
% 15.80/6.19  % (1127424)Instructions burned: 375 (million)
% 15.80/6.19  % (1127428)Instruction limit reached! 
% 15.80/6.19  % (1127428)------------------------------
% 15.80/6.19  % (1127428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.80/6.19  % (1127428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/6.19  % (1127428)CaDiCaL version: 2.1.3
% 15.80/6.19  % (1127428)Termination reason: Instruction limit
% 15.80/6.19  % (1127428)Termination phase: shuffling
% 15.80/6.19  % (1127428)Time elapsed: 0.069 s
% 15.80/6.19  % (1127428)Peak memory usage: 28 MB
% 15.80/6.19  % (1127428)Instructions burned: 117 (million)
% 15.80/6.19  % (1127432)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2036224286:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2981 on theBenchmark for (2981ds/270Mi)
% 15.80/6.19  % (1127422)Instruction limit reached! 
% 15.80/6.19  % (1127422)------------------------------
% 15.80/6.19  % (1127422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.80/6.19  % (1127422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/6.19  % (1127422)CaDiCaL version: 2.1.3
% 15.80/6.19  % (1127422)Termination reason: Instruction limit
% 15.80/6.19  % (1127422)Termination phase: shuffling
% 15.80/6.19  % (1127422)Time elapsed: 0.121 s
% 15.80/6.19  % (1127422)Peak memory usage: 30 MB
% 15.80/6.19  % (1127422)Instructions burned: 227 (million)
% 15.80/6.19  % (1127433)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1091590497:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2981 on theBenchmark for (2981ds/9840Mi)
% 15.80/6.19  % (1127415)Instruction limit reached! 
% 15.80/6.19  % (1127415)------------------------------
% 15.80/6.19  % (1127415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.80/6.19  % (1127415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/6.19  % (1127415)CaDiCaL version: 2.1.3
% 15.80/6.19  % (1127415)Termination reason: Instruction limit
% 15.80/6.19  % (1127415)Termination phase: shuffling
% 15.80/6.19  % (1127415)Time elapsed: 0.175 s
% 15.80/6.19  % (1127415)Peak memory usage: 33 MB
% 15.80/6.19  % (1127415)Instructions burned: 339 (million)
% 15.80/6.19  % (1127435)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3169137900:i=421:rtra=on:ss=axioms_2981 on theBenchmark for (2981ds/421Mi)
% 15.80/6.19  % (1127437)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 15.80/6.19  % (1127437)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=1397484492:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/270Mi)
% 15.80/6.19  % (1127421)Instruction limit reached! 
% 15.80/6.19  % (1127421)------------------------------
% 15.80/6.19  % (1127421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.80/6.19  % (1127421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/6.19  % (1127421)CaDiCaL version: 2.1.3
% 15.80/6.19  % (1127421)Termination reason: Instruction limit
% 15.80/6.19  % (1127421)Termination phase: shuffling
% 15.80/6.19  % (1127421)Time elapsed: 0.177 s
% 15.80/6.19  % (1127421)Peak memory usage: 33 MB
% 15.80/6.19  % (1127421)Instructions burned: 341 (million)
% 15.80/6.19  % (1127440)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1777171047:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/31Mi)
% 15.80/6.19  % (1127432)Instruction limit reached! 
% 15.80/6.19  % (1127432)------------------------------
% 15.80/6.19  % (1127432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.80/6.19  % (1127432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/6.19  % (1127432)CaDiCaL version: 2.1.3
% 15.80/6.19  % (1127432)Termination reason: Instruction limit
% 15.80/6.19  % (1127432)Termination phase: shuffling
% 15.80/6.19  % (1127432)Time elapsed: 0.081 s
% 15.80/6.19  % (1127432)Peak memory usage: 32 MB
% 17.51/6.40  % (1127432)Instructions burned: 274 (million)
% 17.51/6.40  % (1127442)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 17.51/6.40  % (1127442)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 17.51/6.40  % (1127442)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3323333348:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2980 on theBenchmark for (2980ds/1440Mi)
% 17.51/6.40  % (1127440)Instruction limit reached! 
% 17.51/6.40  % (1127440)------------------------------
% 17.51/6.40  % (1127440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.51/6.40  % (1127440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.51/6.40  % (1127440)CaDiCaL version: 2.1.3
% 17.51/6.40  % (1127440)Termination reason: Instruction limit
% 17.51/6.40  % (1127440)Termination phase: shuffling
% 17.51/6.40  % (1127440)Time elapsed: 0.028 s
% 17.51/6.40  % (1127440)Peak memory usage: 26 MB
% 17.51/6.40  % (1127440)Instructions burned: 32 (million)
% 17.51/6.40  % (1127444)dis+10_2_sil=128000:si=on:random_seed=650827345:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2980 on theBenchmark for (2980ds/339Mi)
% 17.51/6.40  % (1127437)Instruction limit reached! 
% 17.51/6.40  % (1127437)------------------------------
% 17.51/6.40  % (1127437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.51/6.40  % (1127437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.51/6.40  % (1127437)CaDiCaL version: 2.1.3
% 17.51/6.40  % (1127437)Termination reason: Instruction limit
% 17.51/6.40  % (1127437)Termination phase: shuffling
% 17.51/6.40  % (1127437)Time elapsed: 0.141 s
% 17.51/6.40  % (1127437)Peak memory usage: 30 MB
% 17.51/6.40  % (1127437)Instructions burned: 270 (million)
% 17.51/6.40  % (1127446)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=1381629950:i=111:add=on:fgj=on:rtra=on:fdi=1024_2979 on theBenchmark for (2979ds/111Mi)
% 17.51/6.40  % (1127435)Instruction limit reached! 
% 17.51/6.40  % (1127435)------------------------------
% 17.51/6.40  % (1127435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.51/6.40  % (1127435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.51/6.40  % (1127435)CaDiCaL version: 2.1.3
% 17.51/6.40  % (1127435)Termination reason: Instruction limit
% 17.51/6.40  % (1127435)Termination phase: shuffling
% 17.51/6.40  % (1127435)Time elapsed: 0.214 s
% 17.51/6.40  % (1127435)Peak memory usage: 33 MB
% 17.51/6.40  % (1127435)Instructions burned: 421 (million)
% 17.51/6.40  % (1127430)Instruction limit reached! 
% 17.51/6.40  % (1127430)------------------------------
% 17.51/6.40  % (1127430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.51/6.40  % (1127430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.51/6.40  % (1127430)CaDiCaL version: 2.1.3
% 17.51/6.40  % (1127430)Termination reason: Instruction limit
% 17.51/6.40  % (1127430)Termination phase: shuffling
% 17.51/6.40  % (1127430)Time elapsed: 0.289 s
% 17.51/6.40  % (1127430)Peak memory usage: 35 MB
% 17.51/6.40  % (1127430)Instructions burned: 577 (million)
% 17.51/6.40  % (1127448)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=3897439245:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2978 on theBenchmark for (2978ds/122Mi)
% 17.51/6.40  % (1127446)Instruction limit reached! 
% 17.51/6.40  % (1127446)------------------------------
% 17.51/6.40  % (1127446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.51/6.40  % (1127446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.51/6.40  % (1127446)CaDiCaL version: 2.1.3
% 17.51/6.40  % (1127446)Termination reason: Instruction limit
% 17.51/6.40  % (1127446)Termination phase: shuffling
% 17.51/6.40  % (1127446)Time elapsed: 0.067 s
% 17.51/6.40  % (1127446)Peak memory usage: 27 MB
% 17.51/6.40  % (1127446)Instructions burned: 112 (million)
% 17.51/6.40  % (1127449)dis+1010_3:2_anc=all_dependent:sil=128000:si=on:sos=on:lma=off:spb=goal_then_units:bce=on:fd=off:random_seed=228730604:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/136Mi)
% 17.51/6.40  % (1127451)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1238885591:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2978 on theBenchmark for (2978ds/232Mi)
% 18.86/6.63  % (1127444)Instruction limit reached! 
% 18.86/6.63  % (1127444)------------------------------
% 18.86/6.63  % (1127444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.86/6.63  % (1127444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.86/6.63  % (1127444)CaDiCaL version: 2.1.3
% 18.86/6.63  % (1127444)Termination reason: Instruction limit
% 18.86/6.63  % (1127444)Termination phase: shuffling
% 18.86/6.63  % (1127444)Time elapsed: 0.176 s
% 18.86/6.63  % (1127444)Peak memory usage: 31 MB
% 18.86/6.63  % (1127444)Instructions burned: 341 (million)
% 18.86/6.63  % (1127454)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=1218490094:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2978 on theBenchmark for (2978ds/1254Mi)
% 18.86/6.63  % (1127448)Instruction limit reached! 
% 18.86/6.63  % (1127448)------------------------------
% 18.86/6.63  % (1127448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.86/6.63  % (1127448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.86/6.63  % (1127448)CaDiCaL version: 2.1.3
% 18.86/6.63  % (1127448)Termination reason: Instruction limit
% 18.86/6.63  % (1127448)Termination phase: shuffling
% 18.86/6.63  % (1127448)Time elapsed: 0.073 s
% 18.86/6.63  % (1127448)Peak memory usage: 28 MB
% 18.86/6.63  % (1127448)Instructions burned: 124 (million)
% 18.86/6.63  % (1127456)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 18.86/6.63  % (1127456)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=896208610:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2977 on theBenchmark for (2977ds/281Mi)
% 18.86/6.63  % (1127449)Instruction limit reached! 
% 18.86/6.63  % (1127449)------------------------------
% 18.86/6.63  % (1127449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.86/6.63  % (1127449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.86/6.63  % (1127449)CaDiCaL version: 2.1.3
% 18.86/6.63  % (1127449)Termination reason: Instruction limit
% 18.86/6.63  % (1127449)Termination phase: shuffling
% 18.86/6.63  % (1127449)Time elapsed: 0.078 s
% 18.86/6.63  % (1127449)Peak memory usage: 28 MB
% 18.86/6.63  % (1127449)Instructions burned: 136 (million)
% 18.86/6.63  % (1127458)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2120193204:i=619:add=on:rtra=on_2977 on theBenchmark for (2977ds/619Mi)
% 18.86/6.63  % (1127451)Instruction limit reached! 
% 18.86/6.63  % (1127451)------------------------------
% 18.86/6.63  % (1127451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.86/6.63  % (1127451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.86/6.63  % (1127451)CaDiCaL version: 2.1.3
% 18.86/6.63  % (1127451)Termination reason: Instruction limit
% 18.86/6.63  % (1127451)Termination phase: shuffling
% 18.86/6.63  % (1127451)Time elapsed: 0.124 s
% 18.86/6.63  % (1127451)Peak memory usage: 30 MB
% 18.86/6.63  % (1127451)Instructions burned: 233 (million)
% 18.86/6.63  % (1127460)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=3886497886:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/865Mi)
% 18.86/6.63  % (1127442)Instruction limit reached! 
% 18.86/6.63  % (1127442)------------------------------
% 18.86/6.63  % (1127442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.86/6.63  % (1127442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.86/6.63  % (1127442)CaDiCaL version: 2.1.3
% 18.86/6.63  % (1127442)Termination reason: Instruction limit
% 18.86/6.63  % (1127442)Termination phase: Property scanning
% 18.86/6.63  % (1127442)Time elapsed: 0.380 s
% 18.86/6.63  % (1127442)Peak memory usage: 44 MB
% 18.86/6.63  % (1127442)Instructions burned: 1444 (million)
% 18.86/6.63  % (1127462)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3570620660:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/212Mi)
% 18.86/6.63  % (1127456)Instruction limit reached! 
% 18.86/6.63  % (1127456)------------------------------
% 18.86/6.63  % (1127456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.86/6.63  % (1127456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.23/6.82  % (1127456)CaDiCaL version: 2.1.3
% 20.23/6.82  % (1127456)Termination reason: Instruction limit
% 20.23/6.82  % (1127456)Termination phase: shuffling
% 20.23/6.82  % (1127456)Time elapsed: 0.149 s
% 20.23/6.82  % (1127456)Peak memory usage: 32 MB
% 20.23/6.82  % (1127456)Instructions burned: 282 (million)
% 20.23/6.82  % (1127464)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=4069598373:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/130Mi)
% 20.23/6.82  % (1127462)Instruction limit reached! 
% 20.23/6.82  % (1127462)------------------------------
% 20.23/6.82  % (1127462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.23/6.82  % (1127462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.23/6.82  % (1127462)CaDiCaL version: 2.1.3
% 20.23/6.82  % (1127462)Termination reason: Instruction limit
% 20.23/6.82  % (1127462)Termination phase: shuffling
% 20.23/6.82  % (1127462)Time elapsed: 0.063 s
% 20.23/6.82  % (1127462)Peak memory usage: 29 MB
% 20.23/6.82  % (1127462)Instructions burned: 213 (million)
% 20.23/6.82  % (1127466)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=700679611:st=1.5:i=346:rtra=on:ss=axioms_2975 on theBenchmark for (2975ds/346Mi)
% 20.23/6.82  % (1127464)Instruction limit reached! 
% 20.23/6.82  % (1127464)------------------------------
% 20.23/6.82  % (1127464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.23/6.82  % (1127464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.23/6.82  % (1127464)CaDiCaL version: 2.1.3
% 20.23/6.82  % (1127464)Termination reason: Instruction limit
% 20.23/6.82  % (1127464)Termination phase: shuffling
% 20.23/6.82  % (1127464)Time elapsed: 0.076 s
% 20.23/6.82  % (1127464)Peak memory usage: 28 MB
% 20.23/6.82  % (1127464)Instructions burned: 131 (million)
% 20.23/6.82  % (1127468)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=1791213482:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2975 on theBenchmark for (2975ds/152Mi)
% 20.23/6.82  % (1127466)Instruction limit reached! 
% 20.23/6.82  % (1127466)------------------------------
% 20.23/6.82  % (1127466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.23/6.82  % (1127466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.23/6.82  % (1127466)CaDiCaL version: 2.1.3
% 20.23/6.82  % (1127466)Termination reason: Instruction limit
% 20.23/6.82  % (1127466)Termination phase: shuffling
% 20.23/6.82  % (1127466)Time elapsed: 0.099 s
% 20.23/6.82  % (1127466)Peak memory usage: 33 MB
% 20.23/6.82  % (1127466)Instructions burned: 349 (million)
% 20.23/6.82  % (1127470)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2078369874:i=75:ep=R:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/75Mi)
% 20.23/6.82  % (1127458)Instruction limit reached! 
% 20.23/6.82  % (1127458)------------------------------
% 20.23/6.82  % (1127458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.23/6.82  % (1127458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.23/6.82  % (1127458)CaDiCaL version: 2.1.3
% 20.23/6.82  % (1127458)Termination reason: Instruction limit
% 20.23/6.82  % (1127458)Termination phase: shuffling
% 20.23/6.82  % (1127458)Time elapsed: 0.310 s
% 20.23/6.82  % (1127458)Peak memory usage: 38 MB
% 20.23/6.82  % (1127458)Instructions burned: 621 (million)
% 20.23/6.82  % (1127470)Instruction limit reached! 
% 20.23/6.82  % (1127470)------------------------------
% 20.23/6.82  % (1127470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.23/6.82  % (1127470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.23/6.82  % (1127470)CaDiCaL version: 2.1.3
% 20.23/6.82  % (1127470)Termination reason: Instruction limit
% 20.23/6.82  % (1127470)Termination phase: shuffling
% 20.23/6.82  % (1127470)Time elapsed: 0.028 s
% 20.23/6.82  % (1127470)Peak memory usage: 27 MB
% 20.23/6.82  % (1127470)Instructions burned: 79 (million)
% 20.23/6.82  % (1127468)Instruction limit reached! 
% 20.23/6.82  % (1127468)------------------------------
% 20.23/6.82  % (1127468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.23/6.82  % (1127468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.23/6.82  % (1127468)CaDiCaL version: 2.1.3
% 20.23/6.82  % (1127468)Termination reason: Instruction limit
% 20.23/6.82  % (1127468)Termination phase: shuffling
% 20.23/6.82  % (1127468)Time elapsed: 0.087 s
% 20.23/6.82  % (1127468)Peak memory usage: 28 MB
% 20.23/6.82  % (1127468)Instructions burned: 154 (million)
% 20.54/7.03  % (1127472)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=4217666291:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2974 on theBenchmark for (2974ds/387Mi)
% 20.54/7.03  % (1127473)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=3876067151:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2974 on theBenchmark for (2974ds/148Mi)
% 20.54/7.03  % (1127475)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=3610492689:i=161:piset=and:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/161Mi)
% 20.54/7.03  % (1127473)Instruction limit reached! 
% 20.54/7.03  % (1127473)------------------------------
% 20.54/7.03  % (1127473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.54/7.03  % (1127473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.54/7.03  % (1127473)CaDiCaL version: 2.1.3
% 20.54/7.03  % (1127473)Termination reason: Instruction limit
% 20.54/7.03  % (1127473)Termination phase: shuffling
% 20.54/7.03  % (1127473)Time elapsed: 0.047 s
% 20.54/7.03  % (1127473)Peak memory usage: 28 MB
% 20.54/7.03  % (1127473)Instructions burned: 151 (million)
% 20.54/7.03  % (1127478)lrs+10_1_sil=128000:si=on:random_seed=3568055428:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2973 on theBenchmark for (2973ds/888Mi)
% 20.54/7.03  % (1127475)Instruction limit reached! 
% 20.54/7.03  % (1127475)------------------------------
% 20.54/7.03  % (1127475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.54/7.03  % (1127475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.54/7.03  % (1127475)CaDiCaL version: 2.1.3
% 20.54/7.03  % (1127475)Termination reason: Instruction limit
% 20.54/7.03  % (1127475)Termination phase: shuffling
% 20.54/7.03  % (1127475)Time elapsed: 0.092 s
% 20.54/7.03  % (1127475)Peak memory usage: 29 MB
% 20.54/7.03  % (1127475)Instructions burned: 161 (million)
% 20.54/7.03  % (1127480)ott-1003_1_sil=128000:plsq=on:plsqc=1:si=on:sp=weighted_frequency:lma=off:plsqr=1,32:urr=on:cbe=off:random_seed=1680796955:i=136:add=on:ins=4:rtra=on:sup=off_2972 on theBenchmark for (2972ds/136Mi)
% 20.54/7.03  % (1127460)Instruction limit reached! 
% 20.54/7.03  % (1127460)------------------------------
% 20.54/7.03  % (1127460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.54/7.03  % (1127460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.54/7.03  % (1127460)CaDiCaL version: 2.1.3
% 20.54/7.03  % (1127460)Termination reason: Instruction limit
% 20.54/7.03  % (1127460)Termination phase: shuffling
% 20.54/7.03  % (1127460)Time elapsed: 0.432 s
% 20.54/7.03  % (1127460)Peak memory usage: 44 MB
% 20.54/7.03  % (1127460)Instructions burned: 865 (million)
% 20.54/7.03  % (1127482)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=883162404:i=88:s2at=3:nm=2:rtra=on:rawr=on_2972 on theBenchmark for (2972ds/88Mi)
% 20.54/7.03  % (1127472)Instruction limit reached! 
% 20.54/7.03  % (1127472)------------------------------
% 20.54/7.03  % (1127472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.54/7.03  % (1127472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.54/7.03  % (1127472)CaDiCaL version: 2.1.3
% 20.54/7.03  % (1127472)Termination reason: Instruction limit
% 20.54/7.03  % (1127472)Termination phase: shuffling
% 20.54/7.03  % (1127472)Time elapsed: 0.198 s
% 20.54/7.03  % (1127472)Peak memory usage: 33 MB
% 20.54/7.03  % (1127472)Instructions burned: 388 (million)
% 20.54/7.03  % (1127480)Instruction limit reached! 
% 20.54/7.03  % (1127480)------------------------------
% 20.54/7.03  % (1127480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.54/7.03  % (1127480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.54/7.03  % (1127480)CaDiCaL version: 2.1.3
% 20.54/7.03  % (1127480)Termination reason: Instruction limit
% 20.54/7.03  % (1127480)Termination phase: shuffling
% 20.54/7.03  % (1127480)Time elapsed: 0.078 s
% 20.54/7.03  % (1127480)Peak memory usage: 28 MB
% 20.54/7.03  % (1127480)Instructions burned: 136 (million)
% 20.54/7.03  % (1127484)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2320325359:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2971 on theBenchmark for (2971ds/93Mi)
% 20.54/7.03  % (1127454)Instruction limit reached! 
% 20.54/7.03  % (1127454)------------------------------
% 20.54/7.03  % (1127454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.54/7.03  % (1127454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.54/7.03  % (1127454)CaDiCaL version: 2.1.3
% 20.54/7.03  % (1127454)Termination reason: Instruction limit
% 20.54/7.03  % (1127454)Termination phase: shuffling
% 20.54/7.03  % (1127454)Time elapsed: 0.620 s
% 20.54/7.03  % (1127454)Peak memory usage: 51 MB
% 20.54/7.03  % (1127454)Instructions burned: 1255 (million)
% 20.54/7.03  % (1127485)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2066366407:i=2186:rtra=on:ixr=off_2971 on theBenchmark for (2971ds/2186Mi)
% 20.54/7.03  % (1127482)Instruction limit reached! 
% 20.54/7.03  % (1127482)------------------------------
% 20.54/7.03  % (1127482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.54/7.03  % (1127482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.54/7.03  % (1127482)CaDiCaL version: 2.1.3
% 20.54/7.03  % (1127482)Termination reason: Instruction limit
% 20.54/7.03  % (1127482)Termination phase: shuffling
% 20.54/7.03  % (1127482)Time elapsed: 0.055 s
% 20.54/7.03  % (1127482)Peak memory usage: 27 MB
% 20.54/7.03  % (1127482)Instructions burned: 89 (million)
% 20.54/7.03  % (1127488)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1001683071:s2a=on:i=240:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/240Mi)
% 20.54/7.03  % (1127489)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=691975405:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2971 on theBenchmark for (2971ds/805Mi)
% 20.54/7.03  % (1127484)Instruction limit reached! 
% 20.54/7.03  % (1127484)------------------------------
% 20.54/7.03  % (1127484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.54/7.03  % (1127484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.54/7.03  % (1127484)CaDiCaL version: 2.1.3
% 20.54/7.03  % (1127484)Termination reason: Instruction limit
% 20.54/7.03  % (1127484)Termination phase: shuffling
% 20.54/7.03  % (1127484)Time elapsed: 0.057 s
% 20.54/7.03  % (1127484)Peak memory usage: 27 MB
% 20.54/7.03  % (1127484)Instructions burned: 93 (million)
% 20.54/7.03  % (1127492)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 20.54/7.03  % (1127492)dis+1002_1_to=lpo:sil=128000:cnfonf=conj_eager:si=on:sp=unary_first:spb=intro:urr=on:cbe=off:uwa=one_side_interpreted:rp=on:avsqc=1:random_seed=2391955492:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2971 on theBenchmark for (2971ds/391Mi)
% 20.54/7.03  % (1127478)Instruction limit reached! 
% 20.54/7.03  % (1127478)------------------------------
% 20.54/7.03  % (1127478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.54/7.03  % (1127478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.54/7.03  % (1127478)CaDiCaL version: 2.1.3
% 20.54/7.03  % (1127478)Termination reason: Instruction limit
% 20.54/7.03  % (1127478)Termination phase: shuffling
% 20.54/7.03  % (1127478)Time elapsed: 0.243 s
% 20.54/7.03  % (1127478)Peak memory usage: 42 MB
% 20.54/7.03  % (1127478)Instructions burned: 889 (million)
% 20.54/7.03  % (1127494)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=1041203878:i=355:av=off:fsr=off:rtra=on:ixr=off_2970 on theBenchmark for (2970ds/355Mi)
% 20.54/7.03  % (1127488)Instruction limit reached! 
% 20.54/7.03  % (1127488)------------------------------
% 20.54/7.03  % (1127488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.54/7.03  % (1127488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.54/7.03  % (1127488)CaDiCaL version: 2.1.3
% 20.54/7.03  % (1127488)Termination reason: Instruction limit
% 20.54/7.03  % (1127488)Termination phase: shuffling
% 20.54/7.03  % (1127488)Time elapsed: 0.127 s
% 20.54/7.03  % (1127488)Peak memory usage: 30 MB
% 20.54/7.03  % (1127488)Instructions burned: 240 (million)
% 20.54/7.03  % (1127496)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=2850721780:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2970 on theBenchmark for (2970ds/314Mi)
% 20.54/7.03  % (1127494)Instruction limit reached! 
% 20.54/7.03  % (1127494)------------------------------
% 20.54/7.03  % (1127494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.54/7.03  % (1127494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.54/7.03  % (1127494)CaDiCaL version: 2.1.3
% 20.54/7.03  % (1127494)Termination reason: Instruction limit
% 20.54/7.03  % (1127494)Termination phase: shuffling
% 20.54/7.03  % (1127494)Time elapsed: 0.101 s
% 20.54/7.03  % (1127494)Peak memory usage: 32 MB
% 20.54/7.03  % (1127494)Instructions burned: 357 (million)
% 20.54/7.03  % (1127498)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=1102744694:s2a=on:i=251:fsr=off:rtra=on_2969 on theBenchmark for (2969ds/251Mi)
% 20.54/7.03  % (1127492)Instruction limit reached! 
% 20.54/7.03  % (1127492)------------------------------
% 20.54/7.03  % (1127492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.54/7.03  % (1127492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.54/7.03  % (1127492)CaDiCaL version: 2.1.3
% 20.54/7.03  % (1127492)Termination reason: Instruction limit
% 20.54/7.03  % (1127492)Termination phase: shuffling
% 20.54/7.03  % (1127492)Time elapsed: 0.201 s
% 20.54/7.03  % (1127492)Peak memory usage: 34 MB
% 20.54/7.03  % (1127492)Instructions burned: 392 (million)
% 20.54/7.03  % (1127498)Instruction limit reached! 
% 20.54/7.03  % (1127498)------------------------------
% 20.54/7.03  % (1127498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.54/7.03  % (1127498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.54/7.03  % (1127498)CaDiCaL version: 2.1.3
% 20.54/7.03  % (1127498)Termination reason: Instruction limit
% 20.54/7.03  % (1127498)Termination phase: shuffling
% 20.54/7.03  % (1127498)Time elapsed: 0.073 s
% 20.54/7.03  % (1127498)Peak memory usage: 30 MB
% 20.54/7.03  % (1127498)Instructions burned: 252 (million)
% 20.54/7.03  % (1127501)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=3570394248:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2968 on theBenchmark for (2968ds/673Mi)
% 20.54/7.03  % (1127500)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=66545611:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2968 on theBenchmark for (2968ds/2470Mi)
% 20.54/7.03  % (1127496)Instruction limit reached! 
% 20.54/7.03  % (1127496)------------------------------
% 20.54/7.03  % (1127496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.54/7.03  % (1127496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.54/7.03  % (1127496)CaDiCaL version: 2.1.3
% 20.54/7.03  % (1127496)Termination reason: Instruction limit
% 20.54/7.03  % (1127496)Termination phase: shuffling
% 20.54/7.03  % (1127496)Time elapsed: 0.165 s
% 20.54/7.03  % (1127496)Peak memory usage: 31 MB
% 20.54/7.03  % (1127496)Instructions burned: 314 (million)
% 20.54/7.03  % (1127401) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1127263-1127401"...
% 20.54/7.03  % (1127504)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1522303901:i=116:ep=RSTC:rtra=on:ntd=on_2968 on theBenchmark for (2968ds/116Mi)
% 20.54/7.03  % (1127401)...printing done.
% 20.54/7.03  % (1127401)Refutation found. Thanks to Tanya!
% 20.54/7.03  % SZS status Theorem for theBenchmark
% 20.54/7.03  % SZS output start Proof for theBenchmark
% 20.54/7.03  thf(type_def_5, type, heap_Time_Heap: $tType > $tType).
% 20.54/7.03  thf(type_def_6, type, code_natural: $tType).
% 20.54/7.03  thf(type_def_7, type, code_integer: $tType).
% 20.54/7.03  thf(type_def_8, type, code_term: $tType).
% 20.54/7.03  thf(type_def_9, type, heap_ext: $tType > $tType).
% 20.54/7.03  thf(type_def_10, type, product_unit: $tType).
% 20.54/7.03  thf(type_def_11, type, product_prod: ($tType * $tType) > $tType).
% 20.54/7.03  thf(type_def_12, type, multiset: $tType > $tType).
% 20.54/7.03  thf(type_def_13, type, assn: $tType).
% 20.54/7.03  thf(type_def_14, type, pred: $tType > $tType).
% 20.54/7.03  thf(type_def_15, type, sum_sum: ($tType * $tType) > $tType).
% 20.54/7.03  thf(type_def_16, type, seq: $tType > $tType).
% 20.54/7.03  thf(type_def_17, type, option: $tType > $tType).
% 20.54/7.03  thf(type_def_18, type, filter: $tType > $tType).
% 20.54/7.03  thf(type_def_19, type, char: $tType).
% 20.54/7.03  thf(type_def_20, type, array: $tType > $tType).
% 20.54/7.03  thf(type_def_21, type, list: $tType > $tType).
% 20.54/7.03  thf(type_def_22, type, ref: $tType > $tType).
% 20.54/7.03  thf(type_def_23, type, set: $tType > $tType).
% 20.54/7.03  thf(type_def_24, type, rat: $tType).
% 20.54/7.03  thf(type_def_25, type, num: $tType).
% 20.54/7.03  thf(type_def_26, type, nat: $tType).
% 20.54/7.03  thf(type_def_27, type, int: $tType).
% 20.54/7.03  thf(type_def_28, type, itself: $tType > $tType).
% 20.54/7.03  thf(type_def_29, type, d: $tType).
% 20.54/7.03  thf(type_def_30, type, c: $tType).
% 20.54/7.03  thf(type_def_31, type, sTfun: ($tType * $tType) > $tType).
% 20.54/7.03  thf(func_def_0, type, typerep: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_1, type, enum: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_2, type, code_term_of: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_3, type, type: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_4, type, size: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_5, type, cl_HOL_Oequal: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_6, type, heap: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_7, type, dvd: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_8, type, one: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_9, type, idom: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_10, type, ring: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_11, type, plus: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_12, type, zero: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_13, type, numeral: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_14, type, power: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_15, type, field: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_16, type, ring_gcd: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_17, type, minus: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_18, type, times: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_19, type, abs_if: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_20, type, ring_1: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_21, type, uminus: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_22, type, bot: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_23, type, ord: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_24, type, top: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_25, type, semiring: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_26, type, ring_char_0: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_27, type, neg_numeral: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_28, type, order: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_29, type, comm_ring: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_30, type, mult_zero: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_31, type, semiring_Gcd: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_32, type, semiring_gcd: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_33, type, group_add: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_34, type, lattice: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_35, type, no_bot: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_36, type, no_top: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_37, type, semiring_0: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_38, type, semiring_1: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_39, type, finite_finite: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_40, type, monoid_add: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_41, type, comm_ring_1: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_42, type, idom_divide: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_43, type, idom_modulo: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_44, type, monoid_mult: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_45, type, linorder: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_46, type, preorder: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_47, type, ring_parity: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_48, type, idom_abs_sgn: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_49, type, ordered_ring: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_50, type, zero_neq_one: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_51, type, finite_lattice: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_52, type, field_char_0: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_53, type, ab_group_add: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_54, type, semiring_char_0: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_55, type, order_bot: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_56, type, order_top: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_57, type, wellorder: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_58, type, comm_semiring: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_59, type, zero_less_one: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_60, type, division_ring: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_61, type, semigroup_add: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_62, type, semiring_numeral: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_63, type, semidom_divide: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_64, type, semidom_modulo: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_65, type, semigroup_mult: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_66, type, dense_order: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_67, type, comm_semiring_0: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_68, type, comm_semiring_1: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_69, type, linordered_idom: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_70, type, linordered_ring: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_71, type, semiring_modulo: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_72, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_73, type, semiring_parity: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_74, type, ordered_ring_abs: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_75, type, ordered_semiring: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_76, type, linordered_field: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_77, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_78, type, comm_monoid_diff: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_79, type, comm_monoid_mult: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_80, type, algebraic_semidom: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_81, type, semiring_1_cancel: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_82, type, ab_semigroup_mult: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_83, type, bounded_lattice: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_84, type, distrib_lattice: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_85, type, semilattice_inf: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_86, type, semilattice_sup: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_87, type, dense_linorder: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_88, type, quickcheck_random: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_89, type, linordered_semidom: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_90, type, ordered_semiring_0: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_91, type, linordered_semiring: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_92, type, comple9053668089753744459l_ccpo: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_93, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_94, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_95, type, linord6961819062388156250ring_1: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_96, type, normal8620421768224518004emidom: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_97, type, ordere2520102378445227354miring: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_98, type, bit_semiring_bits: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_99, type, bounded_lattice_bot: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_100, type, bounded_lattice_top: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_101, type, comm_s4317794764714335236cancel: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_102, type, linord4710134922213307826strict: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_103, type, cancel1802427076303600483id_add: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_104, type, ring_15535105094025558882visors: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_105, type, cancel2418104881723323429up_add: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_106, type, linord5086331880401160121up_add: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_107, type, ordere6911136660526730532id_add: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_108, type, archim2362893244070406136eiling: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_109, type, semiri6843258321239162965malize: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_110, type, ordere166539214618696060dd_abs: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_111, type, ordere6658533253407199908up_add: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_112, type, semiri3467727345109120633visors: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_113, type, boolea8198339166811842893lgebra: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_114, type, quickc658316121487927005ustive: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_115, type, linord8928482502909563296strict: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_116, type, semido2269285787275462019factor: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_117, type, euclid5891614535332579305n_ring: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_118, type, linord181362715937106298miring: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_119, type, semiri2026040879449505780visors: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_120, type, bit_ri3973907225187159222ations: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_121, type, comple6319245703460814977attice: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_122, type, linord4140545234300271783up_add: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_123, type, unboun7993243217541854897norder: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_124, type, linord715952674999750819strict: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_125, type, archim462609752435547400_field: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_126, type, comple5582772986160207858norder: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_127, type, bounde4346867609351753570nf_top: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_128, type, bounde4967611905675639751up_bot: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_129, type, euclid3725896446679973847miring: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_130, type, canoni5634975068530333245id_add: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_131, type, ordere8940638589300402666id_add: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_132, type, strict7427464778891057005id_add: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_133, type, quickc3360725361186068524ustive: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_134, type, linord2810124833399127020strict: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_135, type, bit_se359711467146920520ations: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_136, type, ordere2412721322843649153imp_le: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_137, type, ordere580206878836729694up_add: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_138, type, ordere1170586879665033532d_diff: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_139, type, strict9044650504122735259up_add: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_140, type, semiri6575147826004484403cancel: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_141, type, euclid8851590272496341667cancel: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_142, type, unique1627219031080169319umeral: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_143, type, comple592849572758109894attice: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_144, type, normal6328177297339901930cative: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_145, type, euclid4440199948858584721cancel: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_146, type, euclid3128863361964157862miring: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_147, type, ordere1937475149494474687imp_le: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_148, type, condit5016429287641298734tinuum: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_149, type, euclid5411537665997757685th_nat: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_150, type, semiri1453513574482234551roduct: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_151, type, bit_un5681908812861735899ations: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_152, type, condit1219197933456340205attice: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_153, type, condit6923001295902523014norder: !>[X0: $tType]:($o)).
% 20.54/7.03  thf(func_def_154, type, archimedean_ceiling: !>[X0: $tType]:((X0 > int))).
% 20.54/7.03  thf(func_def_155, type, archim6421214686448440834_floor: !>[X0: $tType]:((X0 > int))).
% 20.54/7.03  thf(func_def_156, type, archimedean_frac: !>[X0: $tType]:((X0 > X0))).
% 20.54/7.03  thf(func_def_157, type, archimedean_round: !>[X0: $tType]:((X0 > int))).
% 20.54/7.03  thf(func_def_158, type, array_alloc: !>[X0: $tType]:((list @ X0 > heap_ext @ product_unit > product_prod @ array @ X0 @ heap_ext @ product_unit))).
% 20.54/7.03  thf(func_def_159, type, array_freeze: !>[X0: $tType]:((array @ X0 > heap_Time_Heap @ list @ X0))).
% 20.54/7.03  thf(func_def_160, type, array_get: !>[X0: $tType]:((heap_ext @ product_unit > array @ X0 > list @ X0))).
% 20.54/7.03  thf(func_def_161, type, array_len: !>[X0: $tType]:((array @ X0 > heap_Time_Heap @ nat))).
% 20.54/7.03  thf(func_def_162, type, array_length: !>[X0: $tType]:((heap_ext @ product_unit > array @ X0 > nat))).
% 20.54/7.03  thf(func_def_163, type, array_make: !>[X0: $tType]:((nat > (nat > X0) > heap_Time_Heap @ array @ X0))).
% 20.54/7.03  thf(func_def_164, type, array_map_entry: !>[X0: $tType]:((nat > (X0 > X0) > array @ X0 > heap_Time_Heap @ array @ X0))).
% 20.54/7.03  thf(func_def_165, type, array_new: !>[X0: $tType]:((nat > X0 > heap_Time_Heap @ array @ X0))).
% 20.54/7.03  thf(func_def_166, type, array_noteq: !>[X0: $tType, X1: $tType]:((array @ X0 > array @ X1 > $o))).
% 20.54/7.03  thf(func_def_167, type, array_nth: !>[X0: $tType]:((array @ X0 > nat > heap_Time_Heap @ X0))).
% 20.54/7.03  thf(func_def_168, type, array_of_list: !>[X0: $tType]:((list @ X0 > heap_Time_Heap @ array @ X0))).
% 20.54/7.03  thf(func_def_169, type, array_present: !>[X0: $tType]:((heap_ext @ product_unit > array @ X0 > $o))).
% 20.54/7.03  thf(func_def_170, type, array_set: !>[X0: $tType]:((array @ X0 > list @ X0 > heap_ext @ product_unit > heap_ext @ product_unit))).
% 20.54/7.03  thf(func_def_171, type, array_swap: !>[X0: $tType]:((nat > X0 > array @ X0 > heap_Time_Heap @ X0))).
% 20.54/7.03  thf(func_def_172, type, array_upd: !>[X0: $tType]:((nat > X0 > array @ X0 > heap_Time_Heap @ array @ X0))).
% 20.54/7.03  thf(func_def_173, type, array_update: !>[X0: $tType]:((array @ X0 > nat > X0 > heap_ext @ product_unit > heap_ext @ product_unit))).
% 20.54/7.03  thf(func_def_174, type, abs_assn: ((product_prod @ heap_ext @ product_unit @ set @ nat > $o) > assn)).
% 20.54/7.03  thf(func_def_175, type, rep_assn: (assn > product_prod @ heap_ext @ product_unit @ set @ nat > $o)).
% 20.54/7.03  thf(func_def_176, type, entails: (assn > assn > $o)).
% 20.54/7.03  thf(func_def_177, type, entailst: (assn > assn > $o)).
% 20.54/7.03  thf(func_def_178, type, ex_assn: !>[X0: $tType]:(((X0 > assn) > assn))).
% 20.54/7.03  thf(func_def_179, type, in_range: (product_prod @ heap_ext @ product_unit @ set @ nat > $o)).
% 20.54/7.03  thf(func_def_180, type, is_pure_assn: (assn > $o)).
% 20.54/7.03  thf(func_def_181, type, one_assn_raw: (product_prod @ heap_ext @ product_unit @ set @ nat > $o)).
% 20.54/7.03  thf(func_def_182, type, precise: !>[X0: $tType, X1: $tType]:(((X0 > X1 > assn) > $o))).
% 20.54/7.03  thf(func_def_183, type, proper: ((product_prod @ heap_ext @ product_unit @ set @ nat > $o) > $o)).
% 20.54/7.03  thf(func_def_184, type, pure_assn: ($o > assn)).
% 20.54/7.03  thf(func_def_185, type, pure_assn_raw: !>[X0: $tType, X1: $tType]:(($o > product_prod @ X0 @ set @ X1 > $o))).
% 20.54/7.03  thf(func_def_186, type, pure_assn_raw_rel: !>[X0: $tType, X1: $tType]:((product_prod @ $o @ product_prod @ X0 @ set @ X1 > product_prod @ $o @ product_prod @ X0 @ set @ X1 > $o))).
% 20.54/7.03  thf(func_def_187, type, relH: (set @ nat > heap_ext @ product_unit > heap_ext @ product_unit > $o)).
% 20.54/7.03  thf(func_def_188, type, snga_assn: !>[X0: $tType]:((array @ X0 > list @ X0 > assn))).
% 20.54/7.03  thf(func_def_189, type, snga_assn_raw: !>[X0: $tType]:((array @ X0 > list @ X0 > product_prod @ heap_ext @ product_unit @ set @ nat > $o))).
% 20.54/7.03  thf(func_def_190, type, snga_assn_raw_rel: !>[X0: $tType]:((product_prod @ array @ X0 @ product_prod @ list @ X0 @ product_prod @ heap_ext @ product_unit @ set @ nat > product_prod @ array @ X0 @ product_prod @ list @ X0 @ product_prod @ heap_ext @ product_unit @ set @ nat > $o))).
% 20.54/7.03  thf(func_def_191, type, sngr_assn: !>[X0: $tType]:((ref @ X0 > X0 > assn))).
% 20.54/7.03  thf(func_def_192, type, sngr_assn_raw: !>[X0: $tType]:((ref @ X0 > X0 > product_prod @ heap_ext @ product_unit @ set @ nat > $o))).
% 20.54/7.03  thf(func_def_193, type, sngr_assn_raw_rel: !>[X0: $tType]:((product_prod @ ref @ X0 @ product_prod @ X0 @ product_prod @ heap_ext @ product_unit @ set @ nat > product_prod @ ref @ X0 @ product_prod @ X0 @ product_prod @ heap_ext @ product_unit @ set @ nat > $o))).
% 20.54/7.03  thf(func_def_194, type, times_assn_raw: ((product_prod @ heap_ext @ product_unit @ set @ nat > $o) > (product_prod @ heap_ext @ product_unit @ set @ nat > $o) > product_prod @ heap_ext @ product_unit @ set @ nat > $o)).
% 20.54/7.03  thf(func_def_195, type, times_assn_raw_rel: (product_prod @ (product_prod @ heap_ext @ product_unit @ set @ nat > $o) @ product_prod @ (product_prod @ heap_ext @ product_unit @ set @ nat > $o) @ product_prod @ heap_ext @ product_unit @ set @ nat > product_prod @ (product_prod @ heap_ext @ product_unit @ set @ nat > $o) @ product_prod @ (product_prod @ heap_ext @ product_unit @ set @ nat > $o) @ product_prod @ heap_ext @ product_unit @ set @ nat > $o)).
% 20.54/7.03  thf(func_def_196, type, wand_assn: (assn > assn > assn)).
% 20.54/7.03  thf(func_def_197, type, wand_raw: ((product_prod @ heap_ext @ product_unit @ set @ nat > $o) > (product_prod @ heap_ext @ product_unit @ set @ nat > $o) > product_prod @ heap_ext @ product_unit @ set @ nat > $o)).
% 22.41/7.03  thf(func_def_198, type, wand_raw_rel: (product_prod @ (product_prod @ heap_ext @ product_unit @ set @ nat > $o) @ product_prod @ (product_prod @ heap_ext @ product_unit @ set @ nat > $o) @ product_prod @ heap_ext @ product_unit @ set @ nat > product_prod @ (product_prod @ heap_ext @ product_unit @ set @ nat > $o) @ product_prod @ (product_prod @ heap_ext @ product_unit @ set @ nat > $o) @ product_prod @ heap_ext @ product_unit @ set @ nat > $o)).
% 22.41/7.03  thf(func_def_199, type, fi: (list @ product_prod @ assn @ assn > assn > assn > assn > assn > assn > $o)).
% 22.41/7.03  thf(func_def_200, type, fI_QUERY: (assn > assn > assn > $o)).
% 22.41/7.03  thf(func_def_201, type, fI_RESULT: (list @ product_prod @ assn @ assn > assn > assn > assn > $o)).
% 22.41/7.03  thf(func_def_202, type, sln: assn).
% 22.41/7.03  thf(func_def_203, type, bNF_Cardinal_Csum: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > set @ product_prod @ X1 @ X1) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 22.41/7.03  thf(func_def_204, type, bNF_Cardinal_cexp: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > set @ product_prod @ (X1 > X0) @ (X1 > X0)))).
% 22.41/7.03  thf(func_def_205, type, bNF_Cardinal_cfinite: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 22.41/7.03  thf(func_def_206, type, bNF_Ca4139267488887388095finite: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 22.41/7.03  thf(func_def_207, type, bNF_Cardinal_cone: set @ product_prod @ product_unit @ product_unit).
% 22.41/7.03  thf(func_def_208, type, bNF_Cardinal_cprod: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 22.41/7.03  thf(func_def_209, type, bNF_Cardinal_csum: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > set @ product_prod @ sum_sum @ X0 @ X1 @ sum_sum @ X0 @ X1))).
% 22.41/7.03  thf(func_def_210, type, bNF_Cardinal_ctwo: set @ product_prod @ $o @ $o).
% 22.41/7.03  thf(func_def_211, type, bNF_Cardinal_czero: !>[X0: $tType]:(set @ product_prod @ X0 @ X0)).
% 22.41/7.03  thf(func_def_212, type, bNF_Ca8387033319878233205ardSuc: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ set @ X0 @ set @ X0))).
% 22.41/7.03  thf(func_def_213, type, bNF_Ca6860139660246222851ard_of: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0))).
% 22.41/7.03  thf(func_def_214, type, bNF_Ca8970107618336181345der_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 22.41/7.03  thf(func_def_215, type, bNF_Ca7293521722713021262ofinal: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 22.41/7.03  thf(func_def_216, type, bNF_Ca6246979054910435723ardSuc: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ set @ X0 @ set @ X0 > $o))).
% 22.41/7.03  thf(func_def_217, type, bNF_Ca8665028551170535155natLeq: set @ product_prod @ nat @ nat).
% 22.41/7.03  thf(func_def_218, type, bNF_Ca8459412986667044542atLess: set @ product_prod @ nat @ nat).
% 22.41/7.03  thf(func_def_219, type, bNF_Ca7133664381575040944arCard: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 22.41/7.03  thf(func_def_220, type, bNF_Ca3754400796208372196lChain: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X1) > $o))).
% 22.41/7.03  thf(func_def_221, type, bNF_id_bnf: !>[X0: $tType]:((X0 > X0))).
% 22.41/7.03  thf(func_def_222, type, bNF_Gr: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > set @ product_prod @ X0 @ X1))).
% 22.41/7.03  thf(func_def_223, type, bNF_Grp: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X0 > X1 > $o))).
% 22.41/7.03  thf(func_def_224, type, bNF_collect: !>[X0: $tType, X1: $tType]:((set @ (X0 > set @ X1) > X0 > set @ X1))).
% 22.41/7.03  thf(func_def_225, type, bNF_eq_onp: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > $o))).
% 22.41/7.03  thf(func_def_226, type, bNF_fstOp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > product_prod @ X0 @ X2 > product_prod @ X0 @ X1))).
% 22.41/7.03  thf(func_def_227, type, bNF_pick_middlep: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > X0 > X2 > X1))).
% 22.41/7.03  thf(func_def_228, type, bNF_rel_fun: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1 > $o) > (X2 > X3 > $o) > (X0 > X2) > (X1 > X3) > $o))).
% 22.41/7.03  thf(func_def_229, type, bNF_rel_set: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ X0 > set @ X1 > $o))).
% 22.41/7.03  thf(func_def_230, type, bNF_sndOp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > product_prod @ X0 @ X2 > product_prod @ X1 @ X2))).
% 22.41/7.03  thf(func_def_231, type, bNF_Gr5436034075474128252omCard: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ product_prod @ X1 @ X1 > X1 > X0))).
% 22.41/7.03  thf(func_def_232, type, bNF_Greatest_image2: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > X1) > (X0 > X2) > set @ product_prod @ X1 @ X2))).
% 22.41/7.03  thf(func_def_233, type, bNF_Gr4221423524335903396lImage: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X1) > set @ product_prod @ X1 @ X1))).
% 22.41/7.03  thf(func_def_234, type, bNF_Gr7122648621184425601vImage: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ product_prod @ X1 @ X1 > (X0 > X1) > set @ product_prod @ X0 @ X0))).
% 22.41/7.03  thf(func_def_235, type, bNF_Greatest_toCard: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ product_prod @ X1 @ X1 > X0 > X1))).
% 22.41/7.03  thf(func_def_236, type, bNF_Gr1419584066657907630d_pred: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ product_prod @ X1 @ X1 > (X0 > X1) > $o))).
% 22.41/7.03  thf(func_def_237, type, bNF_Wellorder_Func: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > set @ (X0 > X1)))).
% 22.41/7.03  thf(func_def_238, type, bNF_We4925052301507509544nc_map: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((set @ X0 > (X1 > X2) > (X0 > X3) > (X3 > X1) > X0 > X2))).
% 22.41/7.03  thf(func_def_239, type, bNF_Wellorder_bsqr: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ product_prod @ X0 @ X0 @ product_prod @ X0 @ X0))).
% 22.41/7.03  thf(func_def_240, type, bNF_We2720479622203943262_image: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X1) > set @ product_prod @ X1 @ X1))).
% 22.41/7.03  thf(func_def_241, type, bNF_We413866401316099525erIncl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ set @ X0 @ set @ X0))).
% 22.41/7.03  thf(func_def_242, type, bNF_Wellorder_ordIso: !>[X0: $tType, X1: $tType]:(set @ product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X1 @ X1)).
% 22.41/7.03  thf(func_def_243, type, bNF_Wellorder_ordLeq: !>[X0: $tType, X1: $tType]:(set @ product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X1 @ X1)).
% 22.41/7.03  thf(func_def_244, type, bNF_We4044943003108391690rdLess: !>[X0: $tType, X1: $tType]:(set @ product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X1 @ X1)).
% 22.41/7.03  thf(func_def_245, type, bNF_Wellorder_embed: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > (X0 > X1) > $o))).
% 22.41/7.03  thf(func_def_246, type, bNF_Wellorder_embedS: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > (X0 > X1) > $o))).
% 22.41/7.03  thf(func_def_247, type, bNF_Wellorder_iso: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > (X0 > X1) > $o))).
% 22.41/7.03  thf(func_def_248, type, bNF_Wellorder_wo_rel: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 22.41/7.03  thf(func_def_249, type, bNF_We4791949203932849705sMinim: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > X0 > $o))).
% 22.41/7.03  thf(func_def_250, type, bNF_We1388413361240627857o_max2: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 22.41/7.03  thf(func_def_251, type, bNF_We6954850376910717587_minim: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > X0))).
% 22.41/7.03  thf(func_def_252, type, bNF_Wellorder_wo_suc: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > X0))).
% 22.41/7.03  thf(func_def_253, type, basic_fsts: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > set @ X0))).
% 22.41/7.03  thf(func_def_254, type, basic_pred_fun: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > $o) > (X0 > X1) > $o))).
% 22.41/7.03  thf(func_def_255, type, basic_rel_prod: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1 > $o) > (X2 > X3 > $o) > product_prod @ X0 @ X2 > product_prod @ X1 @ X3 > $o))).
% 22.41/7.03  thf(func_def_256, type, basic_snds: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > set @ X1))).
% 22.41/7.03  thf(func_def_257, type, binomial: (nat > nat > nat)).
% 22.41/7.03  thf(func_def_258, type, gbinomial: !>[X0: $tType]:((X0 > nat > X0))).
% 22.41/7.03  thf(func_def_259, type, bit_and_int_rel: (product_prod @ int @ int > product_prod @ int @ int > $o)).
% 22.41/7.03  thf(func_def_260, type, bit_concat_bit: (nat > int > int > int)).
% 22.41/7.03  thf(func_def_261, type, bit_ri4277139882892585799ns_not: !>[X0: $tType]:((X0 > X0))).
% 22.41/7.03  thf(func_def_262, type, bit_ri4674362597316999326ke_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 22.41/7.03  thf(func_def_263, type, bit_se5824344872417868541ns_and: !>[X0: $tType]:((X0 > X0 > X0))).
% 22.41/7.03  thf(func_def_264, type, bit_se4197421643247451524op_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 22.41/7.03  thf(func_def_265, type, bit_se8732182000553998342ip_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 22.41/7.03  thf(func_def_266, type, bit_se2239418461657761734s_mask: !>[X0: $tType]:((nat > X0))).
% 22.41/7.03  thf(func_def_267, type, bit_se1065995026697491101ons_or: !>[X0: $tType]:((X0 > X0 > X0))).
% 22.41/7.03  thf(func_def_268, type, bit_se4730199178511100633sh_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 22.41/7.03  thf(func_def_269, type, bit_se5668285175392031749et_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 22.41/7.03  thf(func_def_270, type, bit_se2584673776208193580ke_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 22.41/7.03  thf(func_def_271, type, bit_se2638667681897837118et_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 22.41/7.03  thf(func_def_272, type, bit_se5824344971392196577ns_xor: !>[X0: $tType]:((X0 > X0 > X0))).
% 22.41/7.03  thf(func_def_273, type, bit_se5641148757651400278ts_bit: !>[X0: $tType]:((X0 > nat > $o))).
% 22.41/7.03  thf(func_def_274, type, bit_se6407376104438227557le_bit: !>[X0: $tType]:((itself @ X0 > nat > $o))).
% 22.41/7.03  thf(func_def_275, type, boolea2506097494486148201lgebra: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > (X0 > X0) > X0 > X0 > $o))).
% 22.41/7.03  thf(func_def_276, type, code_bit_cut_integer: (code_integer > product_prod @ code_integer @ $o)).
% 22.41/7.03  thf(func_def_277, type, code_divmod_abs: (code_integer > code_integer > product_prod @ code_integer @ code_integer)).
% 22.41/7.03  thf(func_def_278, type, code_divmod_integer: (code_integer > code_integer > product_prod @ code_integer @ code_integer)).
% 22.41/7.03  thf(func_def_279, type, code_nat_of_integer: (code_integer > nat)).
% 22.41/7.03  thf(func_def_280, type, code_nat_of_natural: (code_natural > nat)).
% 22.41/7.03  thf(func_def_281, type, code_natural_of_nat: (nat > code_natural)).
% 22.41/7.03  thf(func_def_282, type, complete_Inf_Inf: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.03  thf(func_def_283, type, complete_Sup_Sup: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.03  thf(func_def_284, type, comple1908693960933563346ssible: !>[X0: $tType]:(((set @ X0 > X0) > (X0 > X0 > $o) > (X0 > $o) > $o))).
% 22.41/7.03  thf(func_def_285, type, comple187402453842119260l_fixp: !>[X0: $tType]:(((set @ X0 > X0) > (X0 > X0 > $o) > (X0 > X0) > X0))).
% 22.41/7.03  thf(func_def_286, type, comple115746919287870866o_fixp: !>[X0: $tType]:(((X0 > X0) > X0))).
% 22.41/7.03  thf(func_def_287, type, comple1602240252501008431_chain: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 22.41/7.03  thf(func_def_288, type, comple7038119648293358887notone: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X1 > $o) > (X0 > X1) > $o))).
% 22.41/7.03  thf(func_def_289, type, condit8047198070973881523_above: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 22.41/7.03  thf(func_def_290, type, condit8119078960628432327_below: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 22.41/7.03  thf(func_def_291, type, condit941137186595557371_above: !>[X0: $tType]:((set @ X0 > $o))).
% 22.41/7.03  thf(func_def_292, type, condit1013018076250108175_below: !>[X0: $tType]:((set @ X0 > $o))).
% 22.41/7.03  thf(func_def_293, type, condit622319405099724424ng_bdd: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > $o))).
% 22.41/7.03  thf(func_def_294, type, condit16957441358409770ng_bdd: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 22.41/7.03  thf(func_def_295, type, adjust_div: (product_prod @ int @ int > int)).
% 22.41/7.03  thf(func_def_296, type, divmod_nat: (nat > nat > product_prod @ nat @ nat)).
% 22.41/7.03  thf(func_def_297, type, eucl_rel_int: (int > int > product_prod @ int @ int > $o)).
% 22.41/7.03  thf(func_def_298, type, unique5940410009612947441es_aux: !>[X0: $tType]:((product_prod @ X0 @ X0 > $o))).
% 22.41/7.03  thf(func_def_299, type, unique8689654367752047608divmod: !>[X0: $tType]:((num > num > product_prod @ X0 @ X0))).
% 22.41/7.03  thf(func_def_300, type, unique1321980374590559556d_step: !>[X0: $tType]:((num > product_prod @ X0 @ X0 > product_prod @ X0 @ X0))).
% 22.41/7.03  thf(func_def_301, type, equiv_congruent: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X1) > $o))).
% 22.41/7.03  thf(func_def_302, type, equiv_congruent2: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > (X0 > X1 > X2) > $o))).
% 22.41/7.03  thf(func_def_303, type, equiv_equiv: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 22.41/7.03  thf(func_def_304, type, equiv_equivp: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 22.41/7.03  thf(func_def_305, type, equiv_proj: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > X0 > set @ X1))).
% 22.41/7.03  thf(func_def_306, type, equiv_quotient: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > set @ set @ X0))).
% 22.41/7.03  thf(func_def_307, type, euclid6346220572633701492n_size: !>[X0: $tType]:((X0 > nat))).
% 22.41/7.03  thf(func_def_308, type, euclid7384307370059645450egment: !>[X0: $tType]:((X0 > X0))).
% 22.41/7.03  thf(func_def_309, type, comm_s3205402744901411588hammer: !>[X0: $tType]:((X0 > nat > X0))).
% 22.41/7.03  thf(func_def_310, type, semiring_char_0_fact: !>[X0: $tType]:((nat > X0))).
% 22.41/7.03  thf(func_def_311, type, inverse_inverse: !>[X0: $tType]:((X0 > X0))).
% 22.41/7.03  thf(func_def_312, type, abstract_filter: !>[X0: $tType]:(((product_unit > filter @ X0) > filter @ X0))).
% 22.41/7.03  thf(func_def_313, type, at_bot: !>[X0: $tType]:(filter @ X0)).
% 22.41/7.03  thf(func_def_314, type, at_top: !>[X0: $tType]:(filter @ X0)).
% 22.41/7.03  thf(func_def_315, type, cofinite: !>[X0: $tType]:(filter @ X0)).
% 22.41/7.03  thf(func_def_316, type, eventually: !>[X0: $tType]:(((X0 > $o) > filter @ X0 > $o))).
% 22.41/7.03  thf(func_def_317, type, abs_filter: !>[X0: $tType]:((((X0 > $o) > $o) > filter @ X0))).
% 22.41/7.03  thf(func_def_318, type, rep_filter: !>[X0: $tType]:((filter @ X0 > (X0 > $o) > $o))).
% 22.41/7.03  thf(func_def_319, type, filtercomap: !>[X0: $tType, X1: $tType]:(((X0 > X1) > filter @ X1 > filter @ X0))).
% 22.41/7.03  thf(func_def_320, type, filterlim: !>[X0: $tType, X1: $tType]:(((X0 > X1) > filter @ X1 > filter @ X0 > $o))).
% 22.41/7.03  thf(func_def_321, type, filtermap: !>[X0: $tType, X1: $tType]:(((X0 > X1) > filter @ X0 > filter @ X1))).
% 22.41/7.03  thf(func_def_322, type, finite5375528669736107172at_top: !>[X0: $tType]:((set @ X0 > filter @ set @ X0))).
% 22.41/7.03  thf(func_def_323, type, frequently: !>[X0: $tType]:(((X0 > $o) > filter @ X0 > $o))).
% 22.41/7.03  thf(func_def_324, type, is_filter: !>[X0: $tType]:((((X0 > $o) > $o) > $o))).
% 22.41/7.03  thf(func_def_325, type, map_filter_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > filter @ X0 > filter @ X1))).
% 22.41/7.03  thf(func_def_326, type, principal: !>[X0: $tType]:((set @ X0 > filter @ X0))).
% 22.41/7.03  thf(func_def_327, type, prod_filter: !>[X0: $tType, X1: $tType]:((filter @ X0 > filter @ X1 > filter @ product_prod @ X0 @ X1))).
% 22.41/7.03  thf(func_def_328, type, rel_filter: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > filter @ X0 > filter @ X1 > $o))).
% 22.41/7.03  thf(func_def_329, type, finite_card: !>[X0: $tType]:((set @ X0 > nat))).
% 22.41/7.03  thf(func_def_330, type, finite6289374366891150609ommute: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > $o))).
% 22.41/7.03  thf(func_def_331, type, finite4664212375090638736ute_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1 > X1) > $o))).
% 22.41/7.03  thf(func_def_332, type, finite673082921795544331dem_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1 > X1) > $o))).
% 22.41/7.03  thf(func_def_333, type, finite_finite2: !>[X0: $tType]:((set @ X0 > $o))).
% 22.41/7.03  thf(func_def_334, type, finite_fold: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > X1 > set @ X0 > X1))).
% 22.41/7.03  thf(func_def_335, type, finite_fold_graph: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > X1 > set @ X0 > X1 > $o))).
% 22.41/7.03  thf(func_def_336, type, finite1890593828518410140dem_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1 > X1) > $o))).
% 22.41/7.03  thf(func_def_337, type, finite_folding_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1 > X1) > $o))).
% 22.41/7.03  thf(func_def_338, type, finite_folding_F: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > X1 > set @ X0 > X1))).
% 22.41/7.03  thf(func_def_339, type, bij_betw: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1 > $o))).
% 22.41/7.03  thf(func_def_340, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > X2 > X1))).
% 22.41/7.03  thf(func_def_341, type, fun_upd: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > X1 > X0 > X1))).
% 22.41/7.03  thf(func_def_342, type, id: !>[X0: $tType]:((X0 > X0))).
% 22.41/7.03  thf(func_def_343, type, inj_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > $o))).
% 22.41/7.03  thf(func_def_344, type, map_fun: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > (X1 > X2) > X0 > X3))).
% 22.41/7.03  thf(func_def_345, type, override_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > set @ X0 > X0 > X1))).
% 22.41/7.03  thf(func_def_346, type, strict_mono_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > $o))).
% 22.41/7.03  thf(func_def_347, type, the_inv_into: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X1 > X0))).
% 22.41/7.03  thf(func_def_348, type, fun_max_strict: set @ product_prod @ set @ product_prod @ nat @ nat @ set @ product_prod @ nat @ nat).
% 22.41/7.03  thf(func_def_349, type, fun_max_weak: set @ product_prod @ set @ product_prod @ nat @ nat @ set @ product_prod @ nat @ nat).
% 22.41/7.03  thf(func_def_350, type, fun_min_strict: set @ product_prod @ set @ product_prod @ nat @ nat @ set @ product_prod @ nat @ nat).
% 22.41/7.03  thf(func_def_351, type, fun_min_weak: set @ product_prod @ set @ product_prod @ nat @ nat @ set @ product_prod @ nat @ nat).
% 22.41/7.03  thf(func_def_352, type, fun_pair_leq: set @ product_prod @ product_prod @ nat @ nat @ product_prod @ nat @ nat).
% 22.41/7.03  thf(func_def_353, type, fun_pair_less: set @ product_prod @ product_prod @ nat @ nat @ product_prod @ nat @ nat).
% 22.41/7.03  thf(func_def_354, type, fun_reduction_pair: !>[X0: $tType]:((product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X0 @ X0 > $o))).
% 22.41/7.03  thf(func_def_355, type, fun_rp_inv_image: !>[X0: $tType, X1: $tType]:((product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X0 @ X0 > (X1 > X0) > product_prod @ set @ product_prod @ X1 @ X1 @ set @ product_prod @ X1 @ X1))).
% 22.41/7.03  thf(func_def_356, type, gcd_Gcd: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.03  thf(func_def_357, type, gcd_Lcm: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.03  thf(func_def_358, type, bezw: (nat > nat > product_prod @ int @ int)).
% 22.41/7.03  thf(func_def_359, type, bezw_rel: (product_prod @ nat @ nat > product_prod @ nat @ nat > $o)).
% 22.41/7.03  thf(func_def_360, type, gcd_gcd: !>[X0: $tType]:((X0 > X0 > X0))).
% 22.41/7.03  thf(func_def_361, type, gcd_lcm: !>[X0: $tType]:((X0 > X0 > X0))).
% 22.41/7.03  thf(func_def_362, type, gcd_nat_rel: (product_prod @ nat @ nat > product_prod @ nat @ nat > $o)).
% 22.41/7.03  thf(func_def_363, type, semiri4206861660011772517g_char: !>[X0: $tType]:((itself @ X0 > nat))).
% 22.41/7.03  thf(func_def_364, type, semiring_gcd_Gcd_fin: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.03  thf(func_def_365, type, semiring_gcd_Lcm_fin: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.03  thf(func_def_366, type, abs_abs: !>[X0: $tType]:((X0 > X0))).
% 22.41/7.03  thf(func_def_367, type, group: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > (X0 > X0) > $o))).
% 22.41/7.03  thf(func_def_368, type, group_axioms: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > (X0 > X0) > $o))).
% 22.41/7.03  thf(func_def_369, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 22.41/7.03  thf(func_def_370, type, one_one: !>[X0: $tType]:(X0)).
% 22.41/7.03  thf(func_def_371, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 22.41/7.03  thf(func_def_372, type, semigroup: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 22.41/7.03  thf(func_def_373, type, sgn_sgn: !>[X0: $tType]:((X0 > X0))).
% 22.41/7.03  thf(func_def_374, type, times_times: !>[X0: $tType]:((X0 > X0 > X0))).
% 22.41/7.03  thf(func_def_375, type, uminus_uminus: !>[X0: $tType]:((X0 > X0))).
% 22.41/7.03  thf(func_def_376, type, zero_zero: !>[X0: $tType]:(X0)).
% 22.41/7.03  thf(func_def_377, type, groups3894954378712506084id_sum: !>[X0: $tType, X1: $tType]:(((X0 > X0 > X0) > X0 > (X1 > X0) > set @ X1 > X0))).
% 22.41/7.03  thf(func_def_378, type, groups7311177749621191930dd_sum: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 22.41/7.03  thf(func_def_379, type, groups1027152243600224163dd_sum: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 22.41/7.03  thf(func_def_380, type, groups7121269368397514597t_prod: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 22.41/7.03  thf(func_def_381, type, groups1962203154675924110t_prod: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 22.41/7.03  thf(func_def_382, type, groups778175481326437816id_set: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > $o))).
% 22.41/7.03  thf(func_def_383, type, groups_comm_monoid_F: !>[X0: $tType, X1: $tType]:(((X0 > X0 > X0) > X0 > (X1 > X0) > set @ X1 > X0))).
% 22.41/7.03  thf(func_def_384, type, groups_comm_monoid_G: !>[X0: $tType, X1: $tType]:(((X0 > X0 > X0) > X0 > (X1 > X0) > set @ X1 > X0))).
% 22.41/7.03  thf(func_def_385, type, groups1828464146339083142d_list: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > $o))).
% 22.41/7.03  thf(func_def_386, type, groups4802862169904069756st_set: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > $o))).
% 22.41/7.03  thf(func_def_387, type, groups4207007520872428315er_sum: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1 > list @ X0 > X1))).
% 22.41/7.03  thf(func_def_388, type, groups4543113879258116180m_list: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > list @ X0 > X0))).
% 22.41/7.03  thf(func_def_389, type, groups8242544230860333062m_list: !>[X0: $tType]:((list @ X0 > X0))).
% 22.41/7.03  thf(func_def_390, type, groups_monoid_F: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > list @ X0 > X0))).
% 22.41/7.03  thf(func_def_391, type, groups5270119922927024881d_list: !>[X0: $tType]:((list @ X0 > X0))).
% 22.41/7.03  thf(func_def_392, type, nO_MATCH: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o))).
% 22.41/7.03  thf(func_def_393, type, the: !>[X0: $tType]:(((X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_394, type, uniq: !>[X0: $tType]:(((X0 > $o) > $o))).
% 22.41/7.03  thf(func_def_395, type, undefined: !>[X0: $tType]:(X0)).
% 22.41/7.03  thf(func_def_396, type, addr_of_array: !>[X0: $tType]:((array @ X0 > nat))).
% 22.41/7.03  thf(func_def_397, type, addr_of_ref: !>[X0: $tType]:((ref @ X0 > nat))).
% 22.41/7.03  thf(func_def_398, type, array2: !>[X0: $tType]:((nat > array @ X0))).
% 22.41/7.03  thf(func_def_399, type, lim: !>[X0: $tType]:((heap_ext @ X0 > nat))).
% 22.41/7.03  thf(func_def_400, type, lim_update: !>[X0: $tType]:(((nat > nat) > heap_ext @ X0 > heap_ext @ X0))).
% 22.41/7.03  thf(func_def_401, type, ref2: !>[X0: $tType]:((nat > ref @ X0))).
% 22.41/7.03  thf(func_def_402, type, heap_Time_Heap2: !>[X0: $tType]:(((heap_ext @ product_unit > option @ product_prod @ X0 @ product_prod @ heap_ext @ product_unit @ nat) > heap_Time_Heap @ X0))).
% 22.41/7.03  thf(func_def_403, type, heap_Time_assert: !>[X0: $tType]:(((X0 > $o) > X0 > heap_Time_Heap @ X0))).
% 22.41/7.03  thf(func_def_404, type, heap_Time_bind: !>[X0: $tType, X1: $tType]:((heap_Time_Heap @ X0 > (X0 > heap_Time_Heap @ X1) > heap_Time_Heap @ X1))).
% 22.41/7.03  thf(func_def_405, type, heap_Time_effect: !>[X0: $tType]:((heap_Time_Heap @ X0 > heap_ext @ product_unit > heap_ext @ product_unit > X0 > nat > $o))).
% 22.41/7.03  thf(func_def_406, type, heap_Time_execute: !>[X0: $tType]:((heap_Time_Heap @ X0 > heap_ext @ product_unit > option @ product_prod @ X0 @ product_prod @ heap_ext @ product_unit @ nat))).
% 22.41/7.03  thf(func_def_407, type, heap_Time_guard: !>[X0: $tType]:(((heap_ext @ product_unit > $o) > (heap_ext @ product_unit > product_prod @ X0 @ product_prod @ heap_ext @ product_unit @ nat) > heap_Time_Heap @ X0))).
% 22.41/7.03  thf(func_def_408, type, heap_Time_heap: !>[X0: $tType]:(((heap_ext @ product_unit > product_prod @ X0 @ product_prod @ heap_ext @ product_unit @ nat) > heap_Time_Heap @ X0))).
% 22.41/7.03  thf(func_def_409, type, heap_Time_raise: !>[X0: $tType]:((list @ char > heap_Time_Heap @ X0))).
% 22.41/7.03  thf(func_def_410, type, heap_Time_return: !>[X0: $tType]:((X0 > heap_Time_Heap @ X0))).
% 22.41/7.03  thf(func_def_411, type, heap_Time_success: !>[X0: $tType]:((heap_Time_Heap @ X0 > heap_ext @ product_unit > $o))).
% 22.41/7.03  thf(func_def_412, type, heap_Time_tap: !>[X0: $tType]:(((heap_ext @ product_unit > X0) > heap_Time_Heap @ X0))).
% 22.41/7.03  thf(func_def_413, type, heap_Time_timeFrame: !>[X0: $tType]:((nat > option @ product_prod @ X0 @ product_prod @ heap_ext @ product_unit @ nat > option @ product_prod @ X0 @ product_prod @ heap_ext @ product_unit @ nat))).
% 22.41/7.03  thf(func_def_414, type, heap_T5500966940807335491me_rel: !>[X0: $tType]:((product_prod @ nat @ option @ product_prod @ X0 @ product_prod @ heap_ext @ product_unit @ nat > product_prod @ nat @ option @ product_prod @ X0 @ product_prod @ heap_ext @ product_unit @ nat > $o))).
% 22.41/7.03  thf(func_def_415, type, heap_Time_ureturn: !>[X0: $tType]:((X0 > heap_Time_Heap @ X0))).
% 22.41/7.03  thf(func_def_416, type, heap_Time_wait: (nat > heap_Time_Heap @ product_unit)).
% 22.41/7.03  thf(func_def_417, type, hoare_hoare_triple: !>[X0: $tType]:((assn > heap_Time_Heap @ X0 > (X0 > assn) > $o))).
% 22.41/7.03  thf(func_def_418, type, hoare_new_addrs: (heap_ext @ product_unit > set @ nat > heap_ext @ product_unit > set @ nat)).
% 22.41/7.03  thf(func_def_419, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 22.41/7.03  thf(func_def_420, type, complete_lattice_lfp: !>[X0: $tType]:(((X0 > X0) > X0))).
% 22.41/7.03  thf(func_def_421, type, infini527867602293511546merate: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 22.41/7.03  thf(func_def_422, type, abs_Integ: (product_prod @ nat @ nat > int)).
% 22.41/7.03  thf(func_def_423, type, rep_Integ: (int > product_prod @ nat @ nat)).
% 22.41/7.03  thf(func_def_424, type, intrel: (product_prod @ nat @ nat > product_prod @ nat @ nat > $o)).
% 22.41/7.03  thf(func_def_425, type, nat2: (int > nat)).
% 22.41/7.03  thf(func_def_426, type, pcr_int: (product_prod @ nat @ nat > int > $o)).
% 22.41/7.03  thf(func_def_427, type, power_int: !>[X0: $tType]:((X0 > int > X0))).
% 22.41/7.03  thf(func_def_428, type, ring_1_Ints: !>[X0: $tType]:(set @ X0)).
% 22.41/7.03  thf(func_def_429, type, ring_1_of_int: !>[X0: $tType]:((int > X0))).
% 22.41/7.03  thf(func_def_430, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 22.41/7.03  thf(func_def_431, type, semilattice_neutr: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > $o))).
% 22.41/7.03  thf(func_def_432, type, semila1105856199041335345_order: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > (X0 > X0 > $o) > (X0 > X0 > $o) > $o))).
% 22.41/7.03  thf(func_def_433, type, semilattice_order: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > $o) > (X0 > X0 > $o) > $o))).
% 22.41/7.03  thf(func_def_434, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 22.41/7.03  thf(func_def_435, type, lattic643756798349783984er_Max: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.03  thf(func_def_436, type, lattic643756798350308766er_Min: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.03  thf(func_def_437, type, lattices_ord_arg_max: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_438, type, lattic7623131987881927897min_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 22.41/7.03  thf(func_def_439, type, lattic501386751176901750rg_max: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > X0 > $o))).
% 22.41/7.03  thf(func_def_440, type, lattic501386751177426532rg_min: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > X0 > $o))).
% 22.41/7.03  thf(func_def_441, type, lattic7752659483105999362nf_fin: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.03  thf(func_def_442, type, lattic4895041142388067077er_set: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > $o) > (X0 > X0 > $o) > $o))).
% 22.41/7.03  thf(func_def_443, type, lattic149705377957585745ce_set: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 22.41/7.03  thf(func_def_444, type, lattic1715443433743089157tice_F: !>[X0: $tType]:(((X0 > X0 > X0) > set @ X0 > X0))).
% 22.41/7.03  thf(func_def_445, type, lattic5882676163264333800up_fin: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.03  thf(func_def_446, type, quotient: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > (X1 > X0) > (X0 > X1 > $o) > $o))).
% 22.41/7.03  thf(func_def_447, type, bleast: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_448, type, abort_Bleast: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_449, type, all_interval_int: ((int > $o) > int > int > $o)).
% 22.41/7.03  thf(func_def_450, type, all_interval_nat: ((nat > $o) > nat > nat > $o)).
% 22.41/7.03  thf(func_def_451, type, append: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_452, type, arg_min_list: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > X0))).
% 22.41/7.03  thf(func_def_453, type, arg_min_list_rel: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > product_prod @ (X0 > X1) @ list @ X0 > $o))).
% 22.41/7.03  thf(func_def_454, type, bind: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > list @ X1) > list @ X1))).
% 22.41/7.03  thf(func_def_455, type, butlast: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_456, type, can_select: !>[X0: $tType]:(((X0 > $o) > set @ X0 > $o))).
% 22.41/7.03  thf(func_def_457, type, concat: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_458, type, coset: !>[X0: $tType]:((list @ X0 > set @ X0))).
% 22.41/7.03  thf(func_def_459, type, count_list: !>[X0: $tType]:((list @ X0 > X0 > nat))).
% 22.41/7.03  thf(func_def_460, type, distinct: !>[X0: $tType]:((list @ X0 > $o))).
% 22.41/7.03  thf(func_def_461, type, distinct_adj: !>[X0: $tType]:((list @ X0 > $o))).
% 22.41/7.03  thf(func_def_462, type, drop: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_463, type, dropWhile: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_464, type, enumerate: !>[X0: $tType]:((nat > list @ X0 > list @ product_prod @ nat @ X0))).
% 22.41/7.03  thf(func_def_465, type, extract: !>[X0: $tType]:(((X0 > $o) > list @ X0 > option @ product_prod @ list @ X0 @ product_prod @ X0 @ list @ X0))).
% 22.41/7.03  thf(func_def_466, type, filter2: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_467, type, find: !>[X0: $tType]:(((X0 > $o) > list @ X0 > option @ X0))).
% 22.41/7.03  thf(func_def_468, type, fold: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > list @ X0 > X1 > X1))).
% 22.41/7.03  thf(func_def_469, type, folding_insort_key: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > set @ X1 > (X1 > X0) > $o))).
% 22.41/7.03  thf(func_def_470, type, foldin3648464208017769352axioms: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > $o))).
% 22.41/7.03  thf(func_def_471, type, foldl: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X0) > X0 > list @ X1 > X0))).
% 22.41/7.03  thf(func_def_472, type, foldr: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > list @ X0 > X1 > X1))).
% 22.41/7.03  thf(func_def_473, type, gen_length: !>[X0: $tType]:((nat > list @ X0 > nat))).
% 22.41/7.03  thf(func_def_474, type, insert: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_475, type, last: !>[X0: $tType]:((list @ X0 > X0))).
% 22.41/7.03  thf(func_def_476, type, lenlex: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 22.41/7.03  thf(func_def_477, type, lex: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 22.41/7.03  thf(func_def_478, type, lexn: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > set @ product_prod @ list @ X0 @ list @ X0))).
% 22.41/7.03  thf(func_def_479, type, lexord: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 22.41/7.03  thf(func_def_480, type, lexordp: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 22.41/7.03  thf(func_def_481, type, insort_key: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > X1 > list @ X1 > list @ X1))).
% 22.41/7.03  thf(func_def_482, type, sorted8670434370408473282of_set: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > set @ X1 > list @ X1))).
% 22.41/7.03  thf(func_def_483, type, linord329482645794927042rt_key: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_484, type, linorder_insort_key: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_485, type, linorder_sort_key: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_486, type, linord144544945434240204of_set: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_487, type, linord4507533701916653071of_set: !>[X0: $tType]:((set @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_488, type, linord3483353639454293061rt_key: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X0) > $o))).
% 22.41/7.03  thf(func_def_489, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_490, type, nil: !>[X0: $tType]:(list @ X0)).
% 22.41/7.03  thf(func_def_491, type, case_list: !>[X0: $tType, X1: $tType]:((X0 > (X1 > list @ X1 > X0) > list @ X1 > X0))).
% 22.41/7.03  thf(func_def_492, type, hd: !>[X0: $tType]:((list @ X0 > X0))).
% 22.41/7.03  thf(func_def_493, type, list_all: !>[X0: $tType]:(((X0 > $o) > list @ X0 > $o))).
% 22.41/7.03  thf(func_def_494, type, list_all2: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > $o))).
% 22.41/7.03  thf(func_def_495, type, map: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1))).
% 22.41/7.03  thf(func_def_496, type, rec_list: !>[X0: $tType, X1: $tType]:((X0 > (X1 > list @ X1 > X0 > X0) > list @ X1 > X0))).
% 22.41/7.03  thf(func_def_497, type, set2: !>[X0: $tType]:((list @ X0 > set @ X0))).
% 22.41/7.03  thf(func_def_498, type, size_list: !>[X0: $tType]:(((X0 > nat) > list @ X0 > nat))).
% 22.41/7.03  thf(func_def_499, type, tl: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_500, type, list_ex: !>[X0: $tType]:(((X0 > $o) > list @ X0 > $o))).
% 22.41/7.03  thf(func_def_501, type, list_ex1: !>[X0: $tType]:(((X0 > $o) > list @ X0 > $o))).
% 22.41/7.03  thf(func_def_502, type, list_update: !>[X0: $tType]:((list @ X0 > nat > X0 > list @ X0))).
% 22.41/7.03  thf(func_def_503, type, listrel: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ list @ X0 @ list @ X1))).
% 22.41/7.03  thf(func_def_504, type, listrel1: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 22.41/7.03  thf(func_def_505, type, listrel1p: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 22.41/7.03  thf(func_def_506, type, listrelp: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > $o))).
% 22.41/7.03  thf(func_def_507, type, lists: !>[X0: $tType]:((set @ X0 > set @ list @ X0))).
% 22.41/7.03  thf(func_def_508, type, listset: !>[X0: $tType]:((list @ set @ X0 > set @ list @ X0))).
% 22.41/7.03  thf(func_def_509, type, listsp: !>[X0: $tType]:(((X0 > $o) > list @ X0 > $o))).
% 22.41/7.03  thf(func_def_510, type, map_filter: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > list @ X0 > list @ X1))).
% 22.41/7.03  thf(func_def_511, type, map_project: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ X0 > set @ X1))).
% 22.41/7.03  thf(func_def_512, type, map_tailrec: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1))).
% 22.41/7.03  thf(func_def_513, type, map_tailrec_rev: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1 > list @ X1))).
% 22.41/7.03  thf(func_def_514, type, map_tailrec_rev_rel: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > $o))).
% 22.41/7.03  thf(func_def_515, type, maps: !>[X0: $tType, X1: $tType]:(((X0 > list @ X1) > list @ X0 > list @ X1))).
% 22.41/7.03  thf(func_def_516, type, measures: !>[X0: $tType]:((list @ (X0 > nat) > set @ product_prod @ X0 @ X0))).
% 22.41/7.03  thf(func_def_517, type, min_list: !>[X0: $tType]:((list @ X0 > X0))).
% 22.41/7.03  thf(func_def_518, type, min_list_rel: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 22.41/7.03  thf(func_def_519, type, n_lists: !>[X0: $tType]:((nat > list @ X0 > list @ list @ X0))).
% 22.41/7.03  thf(func_def_520, type, nth: !>[X0: $tType]:((list @ X0 > nat > X0))).
% 22.41/7.03  thf(func_def_521, type, nths: !>[X0: $tType]:((list @ X0 > set @ nat > list @ X0))).
% 22.41/7.03  thf(func_def_522, type, null: !>[X0: $tType]:((list @ X0 > $o))).
% 22.41/7.03  thf(func_def_523, type, lexordp2: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 22.41/7.03  thf(func_def_524, type, lexordp_eq: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 22.41/7.03  thf(func_def_525, type, ord_lexordp: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 22.41/7.03  thf(func_def_526, type, ord_lexordp_eq: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 22.41/7.03  thf(func_def_527, type, partition: !>[X0: $tType]:(((X0 > $o) > list @ X0 > product_prod @ list @ X0 @ list @ X0))).
% 22.41/7.03  thf(func_def_528, type, product: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > list @ product_prod @ X0 @ X1))).
% 22.41/7.03  thf(func_def_529, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 22.41/7.03  thf(func_def_530, type, remdups: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_531, type, remdups_adj: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_532, type, remdups_adj_rel: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 22.41/7.03  thf(func_def_533, type, remove1: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_534, type, removeAll: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_535, type, replicate: !>[X0: $tType]:((nat > X0 > list @ X0))).
% 22.41/7.03  thf(func_def_536, type, rev: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_537, type, rotate: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_538, type, rotate1: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_539, type, set_Cons: !>[X0: $tType]:((set @ X0 > set @ list @ X0 > set @ list @ X0))).
% 22.41/7.03  thf(func_def_540, type, shuffles: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ list @ X0))).
% 22.41/7.03  thf(func_def_541, type, shuffles_rel: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > product_prod @ list @ X0 @ list @ X0 > $o))).
% 22.41/7.03  thf(func_def_542, type, sorted_wrt: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o))).
% 22.41/7.03  thf(func_def_543, type, sorted_wrt_rel: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > product_prod @ (X0 > X0 > $o) @ list @ X0 > $o))).
% 22.41/7.03  thf(func_def_544, type, splice: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_545, type, splice_rel: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > product_prod @ list @ X0 @ list @ X0 > $o))).
% 22.41/7.03  thf(func_def_546, type, subseqs: !>[X0: $tType]:((list @ X0 > list @ list @ X0))).
% 22.41/7.03  thf(func_def_547, type, successively: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o))).
% 22.41/7.03  thf(func_def_548, type, successively_rel: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > product_prod @ (X0 > X0 > $o) @ list @ X0 > $o))).
% 22.41/7.03  thf(func_def_549, type, take: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_550, type, takeWhile: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_551, type, transpose: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 22.41/7.03  thf(func_def_552, type, transpose_rel: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > $o))).
% 22.41/7.03  thf(func_def_553, type, union: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_554, type, upt: (nat > nat > list @ nat)).
% 22.41/7.03  thf(func_def_555, type, upto: (int > int > list @ int)).
% 22.41/7.03  thf(func_def_556, type, upto_aux: (int > int > list @ int > list @ int)).
% 22.41/7.03  thf(func_def_557, type, upto_rel: (product_prod @ int @ int > product_prod @ int @ int > $o)).
% 22.41/7.03  thf(func_def_558, type, zip: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > list @ product_prod @ X0 @ X1))).
% 22.41/7.03  thf(func_def_559, type, dom: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ X0))).
% 22.41/7.03  thf(func_def_560, type, graph: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ product_prod @ X0 @ X1))).
% 22.41/7.03  thf(func_def_561, type, map_add: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > (X0 > option @ X1) > X0 > option @ X1))).
% 22.41/7.03  thf(func_def_562, type, map_le: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > (X0 > option @ X1) > $o))).
% 22.41/7.03  thf(func_def_563, type, map_of: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X0 @ X1 > X0 > option @ X1))).
% 22.41/7.03  thf(func_def_564, type, map_upds: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > list @ X0 > list @ X1 > X0 > option @ X1))).
% 22.41/7.03  thf(func_def_565, type, ran: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ X1))).
% 22.41/7.03  thf(func_def_566, type, restrict_map: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ X0 > X0 > option @ X1))).
% 22.41/7.03  thf(func_def_567, type, cODE_ABORT: !>[X0: $tType]:(((product_unit > X0) > X0))).
% 22.41/7.03  thf(func_def_568, type, eps_Opt: !>[X0: $tType]:(((X0 > $o) > option @ X0))).
% 22.41/7.03  thf(func_def_569, type, bijective: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > $o))).
% 22.41/7.03  thf(func_def_570, type, brk_rel: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ product_prod @ $o @ X0 @ product_prod @ $o @ X1))).
% 22.41/7.03  thf(func_def_571, type, dflt_None_set: !>[X0: $tType]:((set @ X0 > option @ set @ X0))).
% 22.41/7.03  thf(func_def_572, type, filter_rev: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_573, type, filter_rev_aux: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_574, type, fun_of_rel: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > X0 > X1))).
% 22.41/7.03  thf(func_def_575, type, inv_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1 > X0))).
% 22.41/7.03  thf(func_def_576, type, list_all_zip: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > $o))).
% 22.41/7.03  thf(func_def_577, type, list_all_zip_rel: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1 > $o) @ product_prod @ list @ X0 @ list @ X1 > product_prod @ (X0 > X1 > $o) @ product_prod @ list @ X0 @ list @ X1 > $o))).
% 22.41/7.03  thf(func_def_578, type, list_collect_set: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > list @ X0 > set @ X1))).
% 22.41/7.03  thf(func_def_579, type, map_mmupd: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ X0 > X1 > X0 > option @ X1))).
% 22.41/7.03  thf(func_def_580, type, map_to_set: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ product_prod @ X0 @ X1))).
% 22.41/7.03  thf(func_def_581, type, merge: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_582, type, merge_list: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_583, type, merge_list_rel: !>[X0: $tType]:((product_prod @ list @ list @ X0 @ list @ list @ X0 > product_prod @ list @ list @ X0 @ list @ list @ X0 > $o))).
% 22.41/7.03  thf(func_def_584, type, merge_rel: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > product_prod @ list @ X0 @ list @ X0 > $o))).
% 22.41/7.03  thf(func_def_585, type, mergesort: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_586, type, mergesort_by_rel: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_587, type, merges9089515139780605204_merge: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_588, type, merges2244889521215249637ge_rel: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > $o))).
% 22.41/7.03  thf(func_def_589, type, mergesort_by_rel_rel: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > product_prod @ (X0 > X0 > $o) @ list @ X0 > $o))).
% 22.41/7.03  thf(func_def_590, type, merges295452479951948502_split: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0 > product_prod @ list @ X0 @ list @ X0))).
% 22.41/7.03  thf(func_def_591, type, merges7066485432131860899it_rel: !>[X0: $tType]:((product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > $o))).
% 22.41/7.03  thf(func_def_592, type, mergesort_remdups: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_593, type, pairself: !>[X0: $tType, X1: $tType]:(((X0 > X1) > product_prod @ X0 @ X0 > product_prod @ X1 @ X1))).
% 22.41/7.03  thf(func_def_594, type, pairself_rel: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ X0 @ X0 > product_prod @ (X0 > X1) @ product_prod @ X0 @ X0 > $o))).
% 22.41/7.03  thf(func_def_595, type, partition_rev: !>[X0: $tType]:(((X0 > $o) > product_prod @ list @ X0 @ list @ X0 > list @ X0 > product_prod @ list @ X0 @ list @ X0))).
% 22.41/7.03  thf(func_def_596, type, partition_rev_rel: !>[X0: $tType]:((product_prod @ (X0 > $o) @ product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > product_prod @ (X0 > $o) @ product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > $o))).
% 22.41/7.03  thf(func_def_597, type, quicksort_by_rel: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_598, type, quicksort_by_rel_rel: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > $o))).
% 22.41/7.03  thf(func_def_599, type, rel_of: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > (product_prod @ X0 @ X1 > $o) > set @ product_prod @ X0 @ X1))).
% 22.41/7.03  thf(func_def_600, type, rel_restrict: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > set @ product_prod @ X0 @ X0))).
% 22.41/7.03  thf(func_def_601, type, remove_rev: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_602, type, revg: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_603, type, revg_rel: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > product_prod @ list @ X0 @ list @ X0 > $o))).
% 22.41/7.03  thf(func_def_604, type, set_to_map: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > X0 > option @ X1))).
% 22.41/7.03  thf(func_def_605, type, slice: !>[X0: $tType]:((nat > nat > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_606, type, su_rel_fun: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > (X0 > X1) > $o))).
% 22.41/7.03  thf(func_def_607, type, the_default: !>[X0: $tType]:((X0 > option @ X0 > X0))).
% 22.41/7.03  thf(func_def_608, type, uncurry: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 22.41/7.03  thf(func_def_609, type, zipf: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > list @ X0 > list @ X1 > list @ X2))).
% 22.41/7.03  thf(func_def_610, type, zipf_rel: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > X1 > X2) @ product_prod @ list @ X0 @ list @ X1 > product_prod @ (X0 > X1 > X2) @ product_prod @ list @ X0 @ list @ X1 > $o))).
% 22.41/7.03  thf(func_def_611, type, add_mset: !>[X0: $tType]:((X0 > multiset @ X0 > multiset @ X0))).
% 22.41/7.03  thf(func_def_612, type, comm_m7189776963980413722m_mset: !>[X0: $tType]:((multiset @ X0 > X0))).
% 22.41/7.03  thf(func_def_613, type, comm_monoid_F: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > multiset @ X0 > X0))).
% 22.41/7.03  thf(func_def_614, type, comm_m9189036328036947845d_mset: !>[X0: $tType]:((multiset @ X0 > X0))).
% 22.41/7.03  thf(func_def_615, type, cr_multiset: !>[X0: $tType]:(((X0 > nat) > multiset @ X0 > $o))).
% 22.41/7.03  thf(func_def_616, type, filter_mset: !>[X0: $tType]:(((X0 > $o) > multiset @ X0 > multiset @ X0))).
% 22.41/7.03  thf(func_def_617, type, fold_mset: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > X1 > multiset @ X0 > X1))).
% 22.41/7.03  thf(func_def_618, type, image_mset: !>[X0: $tType, X1: $tType]:(((X0 > X1) > multiset @ X0 > multiset @ X1))).
% 22.41/7.03  thf(func_def_619, type, inter_mset: !>[X0: $tType]:((multiset @ X0 > multiset @ X0 > multiset @ X0))).
% 22.41/7.03  thf(func_def_620, type, linorder_part: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1 > list @ X0 > product_prod @ list @ X0 @ product_prod @ list @ X0 @ list @ X0))).
% 22.41/7.03  thf(func_def_621, type, linord6283353356039996273ltiset: !>[X0: $tType]:((multiset @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_622, type, ms_strict: set @ product_prod @ multiset @ product_prod @ nat @ nat @ multiset @ product_prod @ nat @ nat).
% 22.41/7.03  thf(func_def_623, type, ms_weak: set @ product_prod @ multiset @ product_prod @ nat @ nat @ multiset @ product_prod @ nat @ nat).
% 22.41/7.03  thf(func_def_624, type, mset: !>[X0: $tType]:((list @ X0 > multiset @ X0))).
% 22.41/7.03  thf(func_def_625, type, mset_set: !>[X0: $tType]:((set @ X0 > multiset @ X0))).
% 22.41/7.03  thf(func_def_626, type, mult: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ multiset @ X0 @ multiset @ X0))).
% 22.41/7.03  thf(func_def_627, type, mult1: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ multiset @ X0 @ multiset @ X0))).
% 22.41/7.03  thf(func_def_628, type, multeqp_code: !>[X0: $tType]:(((X0 > X0 > $o) > multiset @ X0 > multiset @ X0 > $o))).
% 22.41/7.03  thf(func_def_629, type, abs_multiset: !>[X0: $tType]:(((X0 > nat) > multiset @ X0))).
% 22.41/7.03  thf(func_def_630, type, count: !>[X0: $tType]:((multiset @ X0 > X0 > nat))).
% 22.41/7.03  thf(func_def_631, type, multp: !>[X0: $tType]:(((X0 > X0 > $o) > multiset @ X0 > multiset @ X0 > $o))).
% 22.41/7.03  thf(func_def_632, type, multp_code: !>[X0: $tType]:(((X0 > X0 > $o) > multiset @ X0 > multiset @ X0 > $o))).
% 22.41/7.03  thf(func_def_633, type, pcr_multiset: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > nat) > multiset @ X1 > $o))).
% 22.41/7.03  thf(func_def_634, type, pw_leq: (multiset @ product_prod @ nat @ nat > multiset @ product_prod @ nat @ nat > $o)).
% 22.41/7.03  thf(func_def_635, type, repeat_mset: !>[X0: $tType]:((nat > multiset @ X0 > multiset @ X0))).
% 22.41/7.03  thf(func_def_636, type, replicate_mset: !>[X0: $tType]:((nat > X0 > multiset @ X0))).
% 22.41/7.03  thf(func_def_637, type, set_mset: !>[X0: $tType]:((multiset @ X0 > set @ X0))).
% 22.41/7.03  thf(func_def_638, type, subset_eq_mset_impl: !>[X0: $tType]:((list @ X0 > list @ X0 > option @ $o))).
% 22.41/7.03  thf(func_def_639, type, subset751672762298770561pl_rel: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > product_prod @ list @ X0 @ list @ X0 > $o))).
% 22.41/7.03  thf(func_def_640, type, subset_mset: !>[X0: $tType]:((multiset @ X0 > multiset @ X0 > $o))).
% 22.41/7.03  thf(func_def_641, type, subseteq_mset: !>[X0: $tType]:((multiset @ X0 > multiset @ X0 > $o))).
% 22.41/7.03  thf(func_def_642, type, union_mset: !>[X0: $tType]:((multiset @ X0 > multiset @ X0 > multiset @ X0))).
% 22.41/7.03  thf(func_def_643, type, suc: (nat > nat)).
% 22.41/7.03  thf(func_def_644, type, compow: !>[X0: $tType]:((nat > X0 > X0))).
% 22.41/7.03  thf(func_def_645, type, case_nat: !>[X0: $tType]:((X0 > (nat > X0) > nat > X0))).
% 22.41/7.03  thf(func_def_646, type, semiring_1_of_nat: !>[X0: $tType]:((nat > X0))).
% 22.41/7.03  thf(func_def_647, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 22.41/7.03  thf(func_def_648, type, nat_list_encode: (list @ nat > nat)).
% 22.41/7.03  thf(func_def_649, type, nat_list_encode_rel: (list @ nat > list @ nat > $o)).
% 22.41/7.03  thf(func_def_650, type, nat_prod_decode_aux: (nat > nat > product_prod @ nat @ nat)).
% 22.41/7.03  thf(func_def_651, type, nat_pr5047031295181774490ux_rel: (product_prod @ nat @ nat > product_prod @ nat @ nat > $o)).
% 22.41/7.03  thf(func_def_652, type, nat_prod_encode: (product_prod @ nat @ nat > nat)).
% 22.41/7.03  thf(func_def_653, type, nat_set_decode: (nat > set @ nat)).
% 22.41/7.03  thf(func_def_654, type, nat_set_encode: (set @ nat > nat)).
% 22.41/7.03  thf(func_def_655, type, bitM: (num > num)).
% 22.41/7.03  thf(func_def_656, type, inc: (num > num)).
% 22.41/7.03  thf(func_def_657, type, nat_of_num: (num > nat)).
% 22.41/7.03  thf(func_def_658, type, neg_numeral_dbl_dec: !>[X0: $tType]:((X0 > X0))).
% 22.41/7.03  thf(func_def_659, type, neg_numeral_sub: !>[X0: $tType]:((num > num > X0))).
% 22.41/7.03  thf(func_def_660, type, bit0: (num > num)).
% 22.41/7.03  thf(func_def_661, type, bit1: (num > num)).
% 22.41/7.03  thf(func_def_662, type, one2: num).
% 22.41/7.03  thf(func_def_663, type, num_of_nat: (nat > num)).
% 22.41/7.03  thf(func_def_664, type, numeral_numeral: !>[X0: $tType]:((num > X0))).
% 22.41/7.03  thf(func_def_665, type, pred_numeral: (num > nat)).
% 22.41/7.03  thf(func_def_666, type, sqr: (num > num)).
% 22.41/7.03  thf(func_def_667, type, none: !>[X0: $tType]:(option @ X0)).
% 22.41/7.03  thf(func_def_668, type, some: !>[X0: $tType]:((X0 > option @ X0))).
% 22.41/7.03  thf(func_def_669, type, case_option: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > option @ X1 > X0))).
% 22.41/7.03  thf(func_def_670, type, map_option: !>[X0: $tType, X1: $tType]:(((X0 > X1) > option @ X0 > option @ X1))).
% 22.41/7.03  thf(func_def_671, type, the2: !>[X0: $tType]:((option @ X0 > X0))).
% 22.41/7.03  thf(func_def_672, type, order_Above: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > set @ X0))).
% 22.41/7.03  thf(func_def_673, type, order_AboveS: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > set @ X0))).
% 22.41/7.03  thf(func_def_674, type, order_Under: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > set @ X0))).
% 22.41/7.03  thf(func_def_675, type, order_UnderS: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > set @ X0))).
% 22.41/7.03  thf(func_def_676, type, order_above: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ X0))).
% 22.41/7.03  thf(func_def_677, type, order_aboveS: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ X0))).
% 22.41/7.03  thf(func_def_678, type, order_679001287576687338der_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 22.41/7.03  thf(func_def_679, type, order_ofilter: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > $o))).
% 22.41/7.03  thf(func_def_680, type, order_7125193373082350890der_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 22.41/7.03  thf(func_def_681, type, order_preorder_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 22.41/7.03  thf(func_def_682, type, order_relation_of: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > set @ product_prod @ X0 @ X0))).
% 22.41/7.03  thf(func_def_683, type, order_under: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ X0))).
% 22.41/7.03  thf(func_def_684, type, order_underS: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ X0))).
% 22.41/7.03  thf(func_def_685, type, order_well_order_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 22.41/7.03  thf(func_def_686, type, bot_bot: !>[X0: $tType]:(X0)).
% 22.41/7.03  thf(func_def_687, type, least: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_688, type, ord_Least: !>[X0: $tType]:(((X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_689, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 22.41/7.03  thf(func_def_690, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 22.41/7.03  thf(func_def_691, type, ord_max: !>[X0: $tType]:((X0 > X0 > X0))).
% 22.41/7.03  thf(func_def_692, type, ord_min: !>[X0: $tType]:((X0 > X0 > X0))).
% 22.41/7.03  thf(func_def_693, type, mono: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > $o))).
% 22.41/7.03  thf(func_def_694, type, strict_mono: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > $o))).
% 22.41/7.03  thf(func_def_695, type, order_Greatest: !>[X0: $tType]:(((X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_696, type, order_antimono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 22.41/7.03  thf(func_def_697, type, order_mono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 22.41/7.03  thf(func_def_698, type, ordering: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > $o))).
% 22.41/7.03  thf(func_def_699, type, ordering_top: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > X0 > $o))).
% 22.41/7.03  thf(func_def_700, type, ordering_top_axioms: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > $o))).
% 22.41/7.03  thf(func_def_701, type, top_top: !>[X0: $tType]:(X0)).
% 22.41/7.03  thf(func_def_702, type, partial_flat_lub: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 22.41/7.03  thf(func_def_703, type, partial_flat_ord: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 22.41/7.03  thf(func_def_704, type, partial_fun_lub: !>[X0: $tType, X1: $tType, X2: $tType]:(((set @ X0 > X1) > set @ (X2 > X0) > X2 > X1))).
% 22.41/7.03  thf(func_def_705, type, partial_fun_ord: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X2 > X0) > (X2 > X1) > $o))).
% 22.41/7.03  thf(func_def_706, type, partia7178651479351089652itions: !>[X0: $tType]:(((X0 > X0 > $o) > (set @ X0 > X0) > $o))).
% 22.41/7.03  thf(func_def_707, type, power_power: !>[X0: $tType]:((X0 > nat > X0))).
% 22.41/7.03  thf(func_def_708, type, seq2: !>[X0: $tType]:(((product_unit > seq @ X0) > pred @ X0))).
% 22.41/7.03  thf(func_def_709, type, bind2: !>[X0: $tType, X1: $tType]:((pred @ X0 > (X0 > pred @ X1) > pred @ X1))).
% 22.41/7.03  thf(func_def_710, type, iterate_upto: !>[X0: $tType]:(((code_natural > X0) > code_natural > code_natural > pred @ X0))).
% 22.41/7.03  thf(func_def_711, type, iterate_upto_rel: !>[X0: $tType]:((product_prod @ (code_natural > X0) @ product_prod @ code_natural @ code_natural > product_prod @ (code_natural > X0) @ product_prod @ code_natural @ code_natural > $o))).
% 22.41/7.03  thf(func_def_712, type, pred2: !>[X0: $tType]:(((X0 > $o) > pred @ X0))).
% 22.41/7.03  thf(func_def_713, type, empty: !>[X0: $tType]:(seq @ X0)).
% 22.41/7.03  thf(func_def_714, type, insert2: !>[X0: $tType]:((X0 > pred @ X0 > seq @ X0))).
% 22.41/7.03  thf(func_def_715, type, case_seq: !>[X0: $tType, X1: $tType]:((X0 > (X1 > pred @ X1 > X0) > (pred @ X1 > seq @ X1 > X0) > seq @ X1 > X0))).
% 22.41/7.03  thf(func_def_716, type, set_of_pred: !>[X0: $tType]:((pred @ X0 > set @ X0))).
% 22.41/7.03  thf(func_def_717, type, set_of_seq: !>[X0: $tType]:((seq @ X0 > set @ X0))).
% 22.41/7.03  thf(func_def_718, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 22.41/7.03  thf(func_def_719, type, product_Sigma: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > set @ product_prod @ X0 @ X1))).
% 22.41/7.03  thf(func_def_720, type, product_Unity: product_unit).
% 22.41/7.03  thf(func_def_721, type, product_apfst: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > product_prod @ X0 @ X2 > product_prod @ X1 @ X2))).
% 22.41/7.03  thf(func_def_722, type, product_apsnd: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > product_prod @ X2 @ X0 > product_prod @ X2 @ X1))).
% 22.41/7.03  thf(func_def_723, type, product_curry: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ X1 > X2) > X0 > X1 > X2))).
% 22.41/7.03  thf(func_def_724, type, produc5280177257484947105e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 22.41/7.03  thf(func_def_725, type, product_map_prod: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > product_prod @ X0 @ X2 > product_prod @ X1 @ X3))).
% 22.41/7.03  thf(func_def_726, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 22.41/7.03  thf(func_def_727, type, product_case_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 22.41/7.03  thf(func_def_728, type, product_fst: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 22.41/7.03  thf(func_def_729, type, product_snd: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 22.41/7.03  thf(func_def_730, type, product_swap: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > product_prod @ X1 @ X0))).
% 22.41/7.03  thf(func_def_731, type, product_product: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > set @ product_prod @ X0 @ X1))).
% 22.41/7.03  thf(func_def_732, type, product_scomp: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > product_prod @ X1 @ X2) > (X1 > X2 > X3) > X0 > X3))).
% 22.41/7.03  thf(func_def_733, type, type2: !>[X0: $tType]:(itself @ X0)).
% 22.41/7.03  thf(func_def_734, type, inc_shift: (code_natural > code_natural > code_natural)).
% 22.41/7.03  thf(func_def_735, type, iterate: !>[X0: $tType, X1: $tType]:((code_natural > (X0 > X1 > product_prod @ X0 @ X1) > X0 > X1 > product_prod @ X0 @ X1))).
% 22.41/7.03  thf(func_def_736, type, iterate_rel: !>[X0: $tType, X1: $tType]:((product_prod @ code_natural @ product_prod @ (X0 > X1 > product_prod @ X0 @ X1) @ X0 > product_prod @ code_natural @ product_prod @ (X0 > X1 > product_prod @ X0 @ X1) @ X0 > $o))).
% 22.41/7.03  thf(func_def_737, type, log: (code_natural > code_natural > code_natural)).
% 22.41/7.03  thf(func_def_738, type, log_rel: (product_prod @ code_natural @ code_natural > product_prod @ code_natural @ code_natural > $o)).
% 22.41/7.03  thf(func_def_739, type, minus_shift: (code_natural > code_natural > code_natural > code_natural)).
% 22.41/7.03  thf(func_def_740, type, next: (product_prod @ code_natural @ code_natural > product_prod @ code_natural @ product_prod @ code_natural @ code_natural)).
% 22.41/7.03  thf(func_def_741, type, pick: !>[X0: $tType]:((list @ product_prod @ code_natural @ X0 > code_natural > X0))).
% 22.41/7.03  thf(func_def_742, type, range: (code_natural > product_prod @ code_natural @ code_natural > product_prod @ code_natural @ product_prod @ code_natural @ code_natural)).
% 22.41/7.03  thf(func_def_743, type, select: !>[X0: $tType]:((list @ X0 > product_prod @ code_natural @ code_natural > product_prod @ X0 @ product_prod @ code_natural @ code_natural))).
% 22.41/7.03  thf(func_def_744, type, select_weight: !>[X0: $tType]:((list @ product_prod @ code_natural @ X0 > product_prod @ code_natural @ code_natural > product_prod @ X0 @ product_prod @ code_natural @ code_natural))).
% 22.41/7.03  thf(func_def_745, type, split_seed: (product_prod @ code_natural @ code_natural > product_prod @ product_prod @ code_natural @ code_natural @ product_prod @ code_natural @ code_natural)).
% 22.41/7.03  thf(func_def_746, type, random_bind: !>[X0: $tType, X1: $tType]:(((product_prod @ code_natural @ code_natural > product_prod @ pred @ X0 @ product_prod @ code_natural @ code_natural) > (X0 > product_prod @ code_natural @ code_natural > product_prod @ pred @ X1 @ product_prod @ code_natural @ code_natural) > product_prod @ code_natural @ code_natural > product_prod @ pred @ X1 @ product_prod @ code_natural @ code_natural))).
% 22.41/7.03  thf(func_def_747, type, random_empty: !>[X0: $tType]:((product_prod @ code_natural @ code_natural > product_prod @ pred @ X0 @ product_prod @ code_natural @ code_natural))).
% 22.41/7.03  thf(func_def_748, type, random_iterate_upto: !>[X0: $tType]:(((code_natural > X0) > code_natural > code_natural > product_prod @ code_natural @ code_natural > product_prod @ pred @ X0 @ product_prod @ code_natural @ code_natural))).
% 22.41/7.03  thf(func_def_749, type, random_union: !>[X0: $tType]:(((product_prod @ code_natural @ code_natural > product_prod @ pred @ X0 @ product_prod @ code_natural @ code_natural) > (product_prod @ code_natural @ code_natural > product_prod @ pred @ X0 @ product_prod @ code_natural @ code_natural) > product_prod @ code_natural @ code_natural > product_prod @ pred @ X0 @ product_prod @ code_natural @ code_natural))).
% 22.41/7.03  thf(func_def_750, type, abs_Rat: (product_prod @ int @ int > rat)).
% 22.41/7.03  thf(func_def_751, type, fract: (int > int > rat)).
% 22.41/7.03  thf(func_def_752, type, frct: (product_prod @ int @ int > rat)).
% 22.41/7.03  thf(func_def_753, type, rep_Rat: (rat > product_prod @ int @ int)).
% 22.41/7.03  thf(func_def_754, type, field_char_0_of_rat: !>[X0: $tType]:((rat > X0))).
% 22.41/7.03  thf(func_def_755, type, normalize: (product_prod @ int @ int > product_prod @ int @ int)).
% 22.41/7.03  thf(func_def_756, type, of_int: (int > rat)).
% 22.41/7.03  thf(func_def_757, type, pcr_rat: (product_prod @ int @ int > rat > $o)).
% 22.41/7.03  thf(func_def_758, type, quotient_of: (rat > product_prod @ int @ int)).
% 22.41/7.03  thf(func_def_759, type, ratrel: (product_prod @ int @ int > product_prod @ int @ int > $o)).
% 22.41/7.03  thf(func_def_760, type, ref_alloc: !>[X0: $tType]:((X0 > heap_ext @ product_unit > product_prod @ ref @ X0 @ heap_ext @ product_unit))).
% 22.41/7.03  thf(func_def_761, type, ref_change: !>[X0: $tType]:(((X0 > X0) > ref @ X0 > heap_Time_Heap @ X0))).
% 22.41/7.03  thf(func_def_762, type, ref_get: !>[X0: $tType]:((heap_ext @ product_unit > ref @ X0 > X0))).
% 22.41/7.03  thf(func_def_763, type, ref_lookup: !>[X0: $tType]:((ref @ X0 > heap_Time_Heap @ X0))).
% 22.41/7.03  thf(func_def_764, type, ref_present: !>[X0: $tType]:((heap_ext @ product_unit > ref @ X0 > $o))).
% 22.41/7.03  thf(func_def_765, type, ref_ref: !>[X0: $tType]:((X0 > heap_Time_Heap @ ref @ X0))).
% 22.41/7.03  thf(func_def_766, type, ref_set: !>[X0: $tType]:((ref @ X0 > X0 > heap_ext @ product_unit > heap_ext @ product_unit))).
% 22.41/7.03  thf(func_def_767, type, ref_update: !>[X0: $tType]:((ref @ X0 > X0 > heap_Time_Heap @ product_unit))).
% 22.41/7.03  thf(func_def_768, type, refine_Imp_assert: ($o > heap_Time_Heap @ product_unit)).
% 22.41/7.03  thf(func_def_769, type, refine_Imp_refines: !>[X0: $tType]:((heap_Time_Heap @ X0 > heap_Time_Heap @ X0 > $o))).
% 22.41/7.03  thf(func_def_770, type, domain: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ X0))).
% 22.41/7.03  thf(func_def_771, type, domainp: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X0 > $o))).
% 22.41/7.03  thf(func_def_772, type, field2: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0))).
% 22.41/7.03  thf(func_def_773, type, id2: !>[X0: $tType]:(set @ product_prod @ X0 @ X0)).
% 22.41/7.03  thf(func_def_774, type, id_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0))).
% 22.41/7.03  thf(func_def_775, type, image: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ X0 > set @ X1))).
% 22.41/7.03  thf(func_def_776, type, powp: !>[X0: $tType]:(((X0 > $o) > set @ X0 > $o))).
% 22.41/7.03  thf(func_def_777, type, range2: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ X1))).
% 22.41/7.03  thf(func_def_778, type, rangep: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X1 > $o))).
% 22.41/7.03  thf(func_def_779, type, antisym: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 22.41/7.03  thf(func_def_780, type, antisymp: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 22.41/7.03  thf(func_def_781, type, asym: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 22.41/7.03  thf(func_def_782, type, asymp: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 22.41/7.03  thf(func_def_783, type, converse: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ X1 @ X0))).
% 22.41/7.03  thf(func_def_784, type, conversep: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X1 > X0 > $o))).
% 22.41/7.03  thf(func_def_785, type, inv_image: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X1 > X0) > set @ product_prod @ X1 @ X1))).
% 22.41/7.03  thf(func_def_786, type, irrefl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 22.41/7.03  thf(func_def_787, type, irreflp: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 22.41/7.03  thf(func_def_788, type, refl_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 22.41/7.03  thf(func_def_789, type, reflp: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 22.41/7.03  thf(func_def_790, type, relcomp: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ X1 @ X2 > set @ product_prod @ X0 @ X2))).
% 22.41/7.03  thf(func_def_791, type, relcompp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > X0 > X2 > $o))).
% 22.41/7.03  thf(func_def_792, type, single_valued: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > $o))).
% 22.41/7.03  thf(func_def_793, type, single_valuedp: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 22.41/7.03  thf(func_def_794, type, total_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 22.41/7.03  thf(func_def_795, type, trans: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 22.41/7.03  thf(func_def_796, type, transp: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 22.41/7.03  thf(func_def_797, type, algebr8660921524188924756oprime: !>[X0: $tType]:((X0 > X0 > $o))).
% 22.41/7.03  thf(func_def_798, type, divide_divide: !>[X0: $tType]:((X0 > X0 > X0))).
% 22.41/7.03  thf(func_def_799, type, dvd_dvd: !>[X0: $tType]:((X0 > X0 > $o))).
% 22.41/7.03  thf(func_def_800, type, modulo_modulo: !>[X0: $tType]:((X0 > X0 > X0))).
% 22.41/7.03  thf(func_def_801, type, normal6383669964737779283malize: !>[X0: $tType]:((X0 > X0))).
% 22.41/7.03  thf(func_def_802, type, unit_f5069060285200089521factor: !>[X0: $tType]:((X0 > X0))).
% 22.41/7.03  thf(func_def_803, type, zero_neq_one_of_bool: !>[X0: $tType]:(($o > X0))).
% 22.41/7.03  thf(func_def_804, type, ball: !>[X0: $tType]:((set @ X0 > (X0 > $o) > $o))).
% 22.41/7.03  thf(func_def_805, type, bex: !>[X0: $tType]:((set @ X0 > (X0 > $o) > $o))).
% 22.41/7.03  thf(func_def_806, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 22.41/7.03  thf(func_def_807, type, pow: !>[X0: $tType]:((set @ X0 > set @ set @ X0))).
% 22.41/7.03  thf(func_def_808, type, bind3: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > set @ X1))).
% 22.41/7.03  thf(func_def_809, type, disjnt: !>[X0: $tType]:((set @ X0 > set @ X0 > $o))).
% 22.41/7.03  thf(func_def_810, type, filter3: !>[X0: $tType]:(((X0 > $o) > set @ X0 > set @ X0))).
% 22.41/7.03  thf(func_def_811, type, image2: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1))).
% 22.41/7.03  thf(func_def_812, type, insert3: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 22.41/7.03  thf(func_def_813, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 22.41/7.03  thf(func_def_814, type, is_singleton: !>[X0: $tType]:((set @ X0 > $o))).
% 22.41/7.03  thf(func_def_815, type, pairwise: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 22.41/7.03  thf(func_def_816, type, remove: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 22.41/7.03  thf(func_def_817, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.03  thf(func_def_818, type, vimage: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X1 > set @ X0))).
% 22.41/7.03  thf(func_def_819, type, set_fo6178422350223883121st_nat: !>[X0: $tType]:(((nat > X0 > X0) > nat > nat > X0 > X0))).
% 22.41/7.03  thf(func_def_820, 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))).
% 22.41/7.03  thf(func_def_821, type, set_ord_atLeast: !>[X0: $tType]:((X0 > set @ X0))).
% 22.41/7.03  thf(func_def_822, type, set_or1337092689740270186AtMost: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 22.41/7.03  thf(func_def_823, type, set_or7035219750837199246ssThan: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 22.41/7.03  thf(func_def_824, type, set_ord_atMost: !>[X0: $tType]:((X0 > set @ X0))).
% 22.41/7.03  thf(func_def_825, type, set_ord_greaterThan: !>[X0: $tType]:((X0 > set @ X0))).
% 22.41/7.03  thf(func_def_826, type, set_or3652927894154168847AtMost: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 22.41/7.03  thf(func_def_827, type, set_or5935395276787703475ssThan: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 22.41/7.03  thf(func_def_828, type, set_ord_lessThan: !>[X0: $tType]:((X0 > set @ X0))).
% 22.41/7.03  thf(func_def_829, type, sum_Plus: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > set @ sum_sum @ X0 @ X1))).
% 22.41/7.03  thf(func_def_830, type, syntax7388354845996824322omatch: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o))).
% 22.41/7.03  thf(func_def_831, type, bi_total: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 22.41/7.03  thf(func_def_832, type, bi_unique: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 22.41/7.03  thf(func_def_833, type, left_total: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 22.41/7.03  thf(func_def_834, type, left_unique: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 22.41/7.03  thf(func_def_835, type, transitive_acyclic: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 22.41/7.03  thf(func_def_836, type, transitive_ntrancl: !>[X0: $tType]:((nat > set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 22.41/7.03  thf(func_def_837, type, transitive_rtrancl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 22.41/7.03  thf(func_def_838, type, transitive_trancl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 22.41/7.03  thf(func_def_839, type, transitive_tranclp: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > $o))).
% 22.41/7.03  thf(func_def_840, type, type_definition: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > set @ X1 > $o))).
% 22.41/7.03  thf(func_def_841, type, vEBT_List_listI_assn: !>[X0: $tType, X1: $tType]:((set @ nat > (X0 > X1 > assn) > list @ X0 > list @ X1 > assn))).
% 22.41/7.03  thf(func_def_842, type, vEBT_List_list_assn: !>[X0: $tType, X1: $tType]:(((X0 > X1 > assn) > list @ X0 > list @ X1 > assn))).
% 22.41/7.03  thf(func_def_843, type, vEBT_L4249061453398456502sn_rel: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1 > assn) @ product_prod @ list @ X0 @ list @ X1 > product_prod @ (X0 > X1 > assn) @ product_prod @ list @ X0 @ list @ X1 > $o))).
% 22.41/7.03  thf(func_def_844, type, accp: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > $o))).
% 22.41/7.03  thf(func_def_845, type, finite_psubset: !>[X0: $tType]:(set @ product_prod @ set @ X0 @ set @ X0)).
% 22.41/7.03  thf(func_def_846, type, less_than: set @ product_prod @ nat @ nat).
% 22.41/7.03  thf(func_def_847, type, lex_prod: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 22.41/7.03  thf(func_def_848, type, max_ext: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ set @ X0 @ set @ X0))).
% 22.41/7.03  thf(func_def_849, type, max_extp: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > set @ X0 > $o))).
% 22.41/7.03  thf(func_def_850, type, measure: !>[X0: $tType]:(((X0 > nat) > set @ product_prod @ X0 @ X0))).
% 22.41/7.03  thf(func_def_851, type, min_ext: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ set @ X0 @ set @ X0))).
% 22.41/7.03  thf(func_def_852, type, mlex_prod: !>[X0: $tType]:(((X0 > nat) > set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 22.41/7.03  thf(func_def_853, type, pred_nat: set @ product_prod @ nat @ nat).
% 22.41/7.03  thf(func_def_854, type, wf: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 22.41/7.03  thf(func_def_855, type, wfP: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 22.41/7.03  thf(func_def_856, type, cut: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ product_prod @ X0 @ X0 > X0 > X0 > X1))).
% 22.41/7.03  thf(func_def_857, type, same_fst: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > set @ product_prod @ X1 @ X1) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 22.41/7.03  thf(func_def_858, type, chains: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ set @ X0))).
% 22.41/7.03  thf(func_def_859, type, chain_subset: !>[X0: $tType]:((set @ set @ X0 > $o))).
% 22.41/7.03  thf(func_def_860, type, chains2: !>[X0: $tType]:((set @ set @ X0 > set @ set @ set @ X0))).
% 22.41/7.03  thf(func_def_861, type, init_seg_of: !>[X0: $tType]:(set @ product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X0 @ X0)).
% 22.41/7.03  thf(func_def_862, type, pred_chain: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > set @ X0 > $o))).
% 22.41/7.03  thf(func_def_863, type, pred_maxchain: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > set @ X0 > $o))).
% 22.41/7.03  thf(func_def_864, type, pred_suc: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > set @ X0 > set @ X0))).
% 22.41/7.03  thf(func_def_865, type, pred_s7749564232668923593losedp: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > set @ X0 > $o))).
% 22.41/7.03  thf(func_def_866, type, fChoice: !>[X0: $tType]:(((X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_867, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 22.41/7.03  thf(func_def_868, type, a: (c > d > assn)).
% 22.41/7.03  thf(func_def_869, type, f: assn).
% 22.41/7.03  thf(func_def_870, type, i: set @ nat).
% 22.41/7.03  thf(func_def_871, type, p: assn).
% 22.41/7.03  thf(func_def_872, type, q: assn).
% 22.41/7.03  thf(func_def_873, type, i2: nat).
% 22.41/7.03  thf(func_def_874, type, x: c).
% 22.41/7.03  thf(func_def_875, type, xi: d).
% 22.41/7.03  thf(func_def_876, type, xs: list @ c).
% 22.41/7.03  thf(func_def_877, type, xsi: list @ d).
% 22.41/7.03  thf(func_def_879, type, vNOT: ($o > $o)).
% 22.41/7.03  thf(func_def_882, type, db0: !>[X0: $tType]:(X0)).
% 22.41/7.03  thf(func_def_883, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 22.41/7.03  thf(func_def_884, type, db1: !>[X0: $tType]:(X0)).
% 22.41/7.03  thf(func_def_885, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 22.41/7.03  thf(func_def_886, type, vAND: ($o > $o > $o)).
% 22.41/7.03  thf(func_def_887, type, db4: !>[X0: $tType]:(X0)).
% 22.41/7.03  thf(func_def_888, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 22.41/7.03  thf(func_def_889, type, db3: !>[X0: $tType]:(X0)).
% 22.41/7.03  thf(func_def_890, type, db2: !>[X0: $tType]:(X0)).
% 22.41/7.03  thf(func_def_891, type, vOR: ($o > $o > $o)).
% 22.41/7.03  thf(func_def_892, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 22.41/7.03  thf(func_def_893, type, vIMP: ($o > $o > $o)).
% 22.41/7.03  thf(func_def_894, type, db6: !>[X0: $tType]:(X0)).
% 22.41/7.03  thf(func_def_895, type, db5: !>[X0: $tType]:(X0)).
% 22.41/7.03  thf(func_def_896, type, db8: !>[X0: $tType]:(X0)).
% 22.41/7.03  thf(func_def_897, type, db9: !>[X0: $tType]:(X0)).
% 22.41/7.03  thf(func_def_898, type, db7: !>[X0: $tType]:(X0)).
% 22.41/7.03  thf(func_def_899, type, sP0: ((int > $o) > (int > $o) > int > set @ int > $o)).
% 22.41/7.03  thf(func_def_900, type, sP1: ((int > $o) > set @ int > int > (int > $o) > $o)).
% 22.41/7.03  thf(func_def_901, type, sP2: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 22.41/7.03  thf(func_def_902, type, sP3: (set @ int > (int > $o) > (int > $o) > int > $o)).
% 22.41/7.03  thf(func_def_903, type, sP4: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > set @ X0 > set @ X0 > $o))).
% 22.41/7.03  thf(func_def_904, type, sP5: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X0 > X1) > (X1 > X0) > $o))).
% 22.41/7.03  thf(func_def_905, type, sP6: ((int > $o) > (int > $o) > int > set @ int > $o)).
% 22.41/7.03  thf(func_def_906, type, sP7: ((int > $o) > (int > $o) > set @ int > int > $o)).
% 22.41/7.03  thf(func_def_907, type, sP8: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > assn > $o))).
% 22.41/7.03  thf(func_def_908, type, sP9: ((int > $o) > int > (int > $o) > set @ int > $o)).
% 22.41/7.03  thf(func_def_909, type, sK10: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > X0))).
% 22.41/7.03  thf(func_def_910, type, sK11: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X0 > list @ X1 > $o) > list @ X0))).
% 22.41/7.03  thf(func_def_911, type, sK12: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X0 > list @ X1 > $o) > list @ X1))).
% 22.41/7.03  thf(func_def_912, type, sK13: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X0 > list @ X1 > $o) > X0))).
% 22.41/7.03  thf(func_def_913, type, sK14: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X0 > list @ X1 > $o) > X2))).
% 22.41/7.03  thf(func_def_914, type, sK15: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X0 > list @ X1 > $o) > X1))).
% 22.41/7.03  thf(func_def_915, type, sK16: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X0 > list @ X1 > $o) > list @ X2))).
% 22.41/7.03  thf(func_def_916, type, sK17: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > X0))).
% 22.41/7.03  thf(func_def_917, type, sK18: !>[X0: $tType]:((X0 > X0))).
% 22.41/7.03  thf(func_def_918, type, sK19: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 22.41/7.03  thf(func_def_919, type, sK20: !>[X0: $tType]:((nat > set @ set @ X0 > set @ X0))).
% 22.41/7.03  thf(func_def_920, type, sK21: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 22.41/7.03  thf(func_def_921, type, sK22: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 22.41/7.03  thf(func_def_922, type, sK23: (assn > product_prod @ heap_ext @ product_unit @ set @ nat)).
% 22.41/7.03  thf(func_def_923, type, sK24: (assn > product_prod @ heap_ext @ product_unit @ set @ nat)).
% 22.41/7.03  thf(func_def_924, type, sK25: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 22.41/7.03  thf(func_def_925, type, sK26: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 22.41/7.03  thf(func_def_926, type, sK27: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 22.41/7.03  thf(func_def_927, type, sK28: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > set @ X0 > (X0 > set @ X1) > X0))).
% 22.41/7.03  thf(func_def_928, type, sK29: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > set @ X0 > (X0 > set @ X1) > X1))).
% 22.41/7.03  thf(func_def_929, type, sK30: !>[X0: $tType]:((nat > (nat > set @ X0) > nat))).
% 22.41/7.03  thf(func_def_930, type, sK31: !>[X0: $tType]:((nat > (nat > set @ X0) > nat))).
% 22.41/7.03  thf(func_def_931, type, sK32: !>[X0: $tType]:((nat > (nat > set @ X0) > nat))).
% 22.41/7.03  thf(func_def_932, type, sK33: !>[X0: $tType]:((set @ X0 > (nat > set @ X0) > nat))).
% 22.41/7.03  thf(func_def_933, type, sK34: !>[X0: $tType]:((set @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_934, type, sK35: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 22.41/7.03  thf(func_def_935, type, sK36: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 22.41/7.03  thf(func_def_936, type, sK37: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 22.41/7.03  thf(func_def_937, type, sK38: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 22.41/7.03  thf(func_def_938, type, sK39: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 22.41/7.03  thf(func_def_939, type, sK40: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 22.41/7.03  thf(func_def_940, type, sK41: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_941, type, sK42: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 22.41/7.03  thf(func_def_942, type, sK43: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_943, type, sK44: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_944, type, sK45: !>[X0: $tType]:((list @ X0 > nat))).
% 22.41/7.03  thf(func_def_945, type, sK46: !>[X0: $tType]:((list @ X0 > nat))).
% 22.41/7.03  thf(func_def_946, type, sK47: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_947, type, sK48: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_948, type, sK49: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 22.41/7.03  thf(func_def_949, type, sK50: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 22.41/7.03  thf(func_def_950, type, sK51: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_951, type, sK52: !>[X0: $tType]:((list @ X0 > X0))).
% 22.41/7.03  thf(func_def_952, type, sK53: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_953, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0) > (X0 > X1) > (X2 > X1) > X2))).
% 22.41/7.03  thf(func_def_954, type, sK55: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 22.41/7.03  thf(func_def_955, type, sK56: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 22.41/7.03  thf(func_def_956, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2 > $o) > (X2 > X1 > $o) > (X0 > X1 > $o) > X1))).
% 22.41/7.03  thf(func_def_957, type, sK58: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2 > $o) > (X2 > X1 > $o) > (X0 > X1 > $o) > X0))).
% 22.41/7.03  thf(func_def_958, type, sK59: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2 > $o) > (X2 > X1 > $o) > (X0 > X1 > $o) > X2))).
% 22.41/7.03  thf(func_def_959, type, sK60: (set @ nat > nat > nat)).
% 22.41/7.03  thf(func_def_960, type, sK61: !>[X0: $tType]:(((X0 > $o) > set @ filter @ X0 > filter @ X0))).
% 22.41/7.03  thf(func_def_961, type, sK62: !>[X0: $tType]:((set @ filter @ X0 > filter @ X0))).
% 22.41/7.03  thf(func_def_962, type, sK63: !>[X0: $tType]:((set @ filter @ X0 > filter @ X0))).
% 22.41/7.03  thf(func_def_963, type, sK64: !>[X0: $tType]:((list @ X0 > nat))).
% 22.41/7.03  thf(func_def_964, type, sK65: !>[X0: $tType]:((X0 > (X0 > X0 > $o) > list @ X0 > X0))).
% 22.41/7.03  thf(func_def_965, type, sK66: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 22.41/7.03  thf(func_def_966, type, sK67: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > X1))).
% 22.41/7.03  thf(func_def_967, type, sK68: !>[X0: $tType, X1: $tType]:((X1 > list @ X0 > (X0 > X1) > list @ X1 > list @ X0))).
% 22.41/7.03  thf(func_def_968, type, sK69: !>[X0: $tType, X1: $tType]:((X1 > list @ X0 > (X0 > X1) > list @ X1 > X0))).
% 22.41/7.03  thf(func_def_969, type, sK70: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > X0 > X1))).
% 22.41/7.03  thf(func_def_970, type, sK71: !>[X0: $tType, X1: $tType]:((list @ X0 > X1 > list @ X1 > X0))).
% 22.41/7.03  thf(func_def_971, type, sK72: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > (X1 > X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_972, type, sK73: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > (X1 > X0 > $o) > X1))).
% 22.41/7.03  thf(func_def_973, type, sK74: (int > nat)).
% 22.41/7.03  thf(func_def_974, type, sK75: (int > nat)).
% 22.41/7.03  thf(func_def_975, type, sK76: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_976, type, sK77: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 22.41/7.03  thf(func_def_977, type, sK78: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_978, type, sK79: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > X2 > X0) @ product_prod @ list @ X1 @ list @ X2 > X1 > X2 > X0))).
% 22.41/7.03  thf(func_def_979, type, sK80: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > X2 > X0) @ product_prod @ list @ X1 @ list @ X2 > X1))).
% 22.41/7.03  thf(func_def_980, type, sK81: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > X2 > X0) @ product_prod @ list @ X1 @ list @ X2 > X2))).
% 22.41/7.03  thf(func_def_981, type, sK82: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > X2 > X0) @ product_prod @ list @ X1 @ list @ X2 > list @ X2))).
% 22.41/7.03  thf(func_def_982, type, sK83: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > X2 > X0) @ product_prod @ list @ X1 @ list @ X2 > list @ X1))).
% 22.41/7.03  thf(func_def_983, type, sK84: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > X2 > X0) @ product_prod @ list @ X1 @ list @ X2 > X1 > X2 > X0))).
% 22.41/7.03  thf(func_def_984, type, sK85: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > X2 > X0) @ product_prod @ list @ X1 @ list @ X2 > X2))).
% 22.41/7.03  thf(func_def_985, type, sK86: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > X2 > X0) @ product_prod @ list @ X1 @ list @ X2 > X1 > X2 > X0))).
% 22.41/7.03  thf(func_def_986, type, sK87: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > X2 > X0) @ product_prod @ list @ X1 @ list @ X2 > list @ X2))).
% 22.41/7.03  thf(func_def_987, type, sK88: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > X2 > X0) @ product_prod @ list @ X1 @ list @ X2 > X1 > X2 > X0))).
% 22.41/7.03  thf(func_def_988, type, sK89: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > X2 > X0) @ product_prod @ list @ X1 @ list @ X2 > X1))).
% 22.41/7.03  thf(func_def_989, type, sK90: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > X2 > X0) @ product_prod @ list @ X1 @ list @ X2 > list @ X1))).
% 22.41/7.03  thf(func_def_990, type, sK91: !>[X0: $tType]:(((nat > X0) > nat))).
% 22.41/7.03  thf(func_def_991, type, sK92: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_992, type, sK93: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_993, type, sK94: !>[X0: $tType]:((X0 > X0))).
% 22.41/7.03  thf(func_def_994, type, sK95: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > list @ X0 > list @ X1 > list @ product_prod @ X0 @ X1 > list @ X0))).
% 22.41/7.03  thf(func_def_995, type, sK96: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > list @ X0 > list @ X1 > list @ product_prod @ X0 @ X1 > X0))).
% 22.41/7.03  thf(func_def_996, type, sK97: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > list @ X0 > list @ X1 > list @ product_prod @ X0 @ X1 > list @ X1))).
% 22.41/7.03  thf(func_def_997, type, sK98: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > list @ X0 > list @ X1 > list @ product_prod @ X0 @ X1 > X1))).
% 22.41/7.03  thf(func_def_998, type, sK99: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0 > $o) > list @ X0 > X0 > list @ X1))).
% 22.41/7.03  thf(func_def_999, type, sK100: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0 > $o) > list @ X0 > X0 > X1))).
% 22.41/7.03  thf(func_def_1000, type, sK101: ((int > $o) > int)).
% 22.41/7.03  thf(func_def_1001, type, sK102: (int > (int > $o) > (int > $o) > int)).
% 22.41/7.03  thf(func_def_1002, type, sK103: ((int > $o) > int > int)).
% 22.41/7.03  thf(func_def_1003, type, sK104: ((int > $o) > int > int)).
% 22.41/7.03  thf(func_def_1004, type, sK105: (int > int > set @ int > int)).
% 22.41/7.03  thf(func_def_1005, type, sK106: (int > int > set @ int > int)).
% 22.41/7.03  thf(func_def_1006, type, sK107: (int > set @ int > (int > $o) > int)).
% 22.41/7.03  thf(func_def_1007, type, sK108: ((int > $o) > int > set @ int > int)).
% 22.41/7.03  thf(func_def_1008, type, sK109: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 22.41/7.03  thf(func_def_1009, type, sK110: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.03  thf(func_def_1010, type, sK111: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.03  thf(func_def_1011, type, sK112: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 22.41/7.03  thf(func_def_1012, type, sK113: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 22.41/7.03  thf(func_def_1013, type, sK114: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1014, type, sK115: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1015, type, sK116: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 22.41/7.03  thf(func_def_1016, type, sK117: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1 > list @ X1 > nat))).
% 22.41/7.03  thf(func_def_1017, type, sK118: !>[X0: $tType, X1: $tType]:((X1 > set @ X0 > set @ product_prod @ X0 @ X1 > X0))).
% 22.41/7.03  thf(func_def_1018, type, sK119: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1019, type, sK120: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1020, type, sK121: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1021, type, sK122: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1022, type, sK123: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1023, type, sK124: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1024, type, sK125: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1025, type, sK126: !>[X0: $tType, X1: $tType]:((product_prod @ $o @ product_prod @ X0 @ set @ X1 > X0))).
% 22.41/7.03  thf(func_def_1026, type, sK127: !>[X0: $tType, X1: $tType]:((product_prod @ $o @ product_prod @ X0 @ set @ X1 > set @ X1))).
% 22.41/7.03  thf(func_def_1027, type, sK128: !>[X0: $tType, X1: $tType]:((product_prod @ $o @ product_prod @ X0 @ set @ X1 > $o))).
% 22.41/7.03  thf(func_def_1028, type, sK129: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.03  thf(func_def_1029, type, sK130: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1030, type, sK131: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1031, type, sK132: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1032, type, sK133: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > X0))).
% 22.41/7.03  thf(func_def_1033, type, sK134: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > X1))).
% 22.41/7.03  thf(func_def_1034, type, sK135: ((nat > $o) > nat > nat)).
% 22.41/7.03  thf(func_def_1035, type, sK136: ((nat > $o) > nat > nat)).
% 22.41/7.03  thf(func_def_1036, type, sK137: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1037, type, sK138: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > list @ X0))).
% 22.41/7.03  thf(func_def_1038, type, sK139: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > list @ X1))).
% 22.41/7.03  thf(func_def_1039, type, sK140: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > X1))).
% 22.41/7.03  thf(func_def_1040, type, sK141: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > X0))).
% 22.41/7.03  thf(func_def_1041, type, sK142: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1042, type, sK143: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1043, type, sK144: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1044, type, sK145: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1045, type, sK146: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > (X0 > X0 > $o) > set @ X1 > X1))).
% 22.41/7.03  thf(func_def_1046, type, sK147: !>[X0: $tType]:(((X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1047, type, sK148: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 22.41/7.03  thf(func_def_1048, type, sK149: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 22.41/7.03  thf(func_def_1049, type, sK150: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1050, type, sK151: !>[X0: $tType]:((filter @ X0 > filter @ X0 > (X0 > $o) > X0 > $o))).
% 22.41/7.03  thf(func_def_1051, type, sK152: !>[X0: $tType]:((filter @ X0 > filter @ X0 > (X0 > $o) > X0 > $o))).
% 22.41/7.03  thf(func_def_1052, type, sK153: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 22.41/7.03  thf(func_def_1053, type, sK154: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 22.41/7.03  thf(func_def_1054, type, sK155: (assn > product_prod @ heap_ext @ product_unit @ set @ nat)).
% 22.41/7.03  thf(func_def_1055, type, sK156: !>[X0: $tType]:((list @ X0 > X0 > X0))).
% 22.41/7.03  thf(func_def_1056, type, sK157: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X0 > list @ X1 > (X1 > X0) > list @ X1))).
% 22.41/7.03  thf(func_def_1057, type, sK158: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X0 > list @ X1 > (X1 > X0) > list @ X1))).
% 22.41/7.03  thf(func_def_1058, type, sK159: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1059, type, sK160: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1060, type, sK161: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 22.41/7.03  thf(func_def_1061, type, sK162: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 22.41/7.03  thf(func_def_1062, type, sK163: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 22.41/7.03  thf(func_def_1063, type, sK164: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0 > assn) > list @ X1 > set @ nat > (X1 > X0 > assn) > list @ X0 > list @ X0 > nat))).
% 22.41/7.03  thf(func_def_1064, type, sK165: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1065, type, sK166: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1066, type, sK167: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1067, type, sK168: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1068, type, sK169: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1069, type, sK170: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1070, type, sK171: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1071, type, sK172: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1072, type, sK173: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1073, type, sK174: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1074, type, sK175: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1075, type, sK176: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1076, type, sK177: !>[X0: $tType]:(((X0 > assn) > (X0 > assn) > (X0 > assn) > $o > X0))).
% 22.41/7.03  thf(func_def_1077, type, sK178: (assn > $o > product_prod @ heap_ext @ product_unit @ set @ nat)).
% 22.41/7.03  thf(func_def_1078, type, sK179: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1079, type, sK180: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X1 > X1))).
% 22.41/7.03  thf(func_def_1080, type, sK181: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 22.41/7.03  thf(func_def_1081, type, sK182: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 22.41/7.03  thf(func_def_1082, type, sK183: (int > (int > $o) > int)).
% 22.41/7.03  thf(func_def_1083, type, sK184: ((int > $o) > int)).
% 22.41/7.03  thf(func_def_1084, type, sK185: (int > (int > $o) > int)).
% 22.41/7.03  thf(func_def_1085, type, sK186: (int > (int > $o) > int)).
% 22.41/7.03  thf(func_def_1086, type, sK187: !>[X0: $tType]:((list @ X0 > (X0 > $o) > nat))).
% 22.41/7.03  thf(func_def_1087, type, sK188: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1088, type, sK189: !>[X0: $tType]:((nat > list @ X0 > X0 > X0))).
% 22.41/7.03  thf(func_def_1089, type, sK190: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 22.41/7.03  thf(func_def_1090, type, sK191: !>[X0: $tType]:((multiset @ X0 > multiset @ X0 > multiset @ X0 > multiset @ X0 > multiset @ X0))).
% 22.41/7.03  thf(func_def_1091, type, sK192: !>[X0: $tType]:((multiset @ X0 > multiset @ X0 > multiset @ X0 > multiset @ X0 > multiset @ X0))).
% 22.41/7.03  thf(func_def_1092, type, sK193: !>[X0: $tType]:((multiset @ X0 > multiset @ X0 > multiset @ X0 > multiset @ X0 > multiset @ X0))).
% 22.41/7.03  thf(func_def_1093, type, sK194: !>[X0: $tType]:((multiset @ X0 > multiset @ X0 > multiset @ X0 > multiset @ X0 > multiset @ X0))).
% 22.41/7.03  thf(func_def_1094, type, sK195: ((nat > $o) > nat > nat > nat)).
% 22.41/7.03  thf(func_def_1095, type, sK196: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > list @ X1))).
% 22.41/7.03  thf(func_def_1096, type, sK197: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > X1))).
% 22.41/7.03  thf(func_def_1097, type, sK198: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > list @ X0))).
% 22.41/7.03  thf(func_def_1098, type, sK199: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > X0))).
% 22.41/7.03  thf(func_def_1099, type, sK200: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1100, type, sK201: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1101, type, sK202: !>[X0: $tType]:((list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1102, type, sK203: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1103, type, sK204: (nat > set @ nat > nat)).
% 22.41/7.03  thf(func_def_1104, type, sK205: (set @ nat > nat)).
% 22.41/7.03  thf(func_def_1105, type, sK206: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 22.41/7.03  thf(func_def_1106, type, sK207: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > X1) > (X0 > X1) > X0))).
% 22.41/7.03  thf(func_def_1107, type, sK208: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 22.41/7.03  thf(func_def_1108, type, sK209: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1109, type, sK210: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1110, type, sK211: !>[X0: $tType]:((nat > list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1111, type, sK212: (int > int > set @ int > int)).
% 22.41/7.03  thf(func_def_1112, type, sK213: (int > int > set @ int > int)).
% 22.41/7.03  thf(func_def_1113, type, sK214: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X3 > list @ X1 > list @ X2 > list @ X0 > $o) > list @ X0))).
% 22.41/7.03  thf(func_def_1114, type, sK215: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X3 > list @ X1 > list @ X2 > list @ X0 > $o) > X3))).
% 22.41/7.03  thf(func_def_1115, type, sK216: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X3 > list @ X1 > list @ X2 > list @ X0 > $o) > X1))).
% 22.41/7.03  thf(func_def_1116, type, sK217: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X3 > list @ X1 > list @ X2 > list @ X0 > $o) > list @ X3))).
% 22.41/7.03  thf(func_def_1117, type, sK218: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X3 > list @ X1 > list @ X2 > list @ X0 > $o) > X2))).
% 22.41/7.03  thf(func_def_1118, type, sK219: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X3 > list @ X1 > list @ X2 > list @ X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1119, type, sK220: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X3 > list @ X1 > list @ X2 > list @ X0 > $o) > list @ X2))).
% 22.41/7.03  thf(func_def_1120, type, sK221: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X3 > list @ X1 > list @ X2 > list @ X0 > $o) > list @ X1))).
% 22.41/7.03  thf(func_def_1121, type, sK222: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ X0 > (X2 > X0 > set @ X1) > X1 > X2))).
% 22.41/7.03  thf(func_def_1122, type, sK223: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ X0 > (X2 > X0 > set @ X1) > X1 > X0))).
% 22.41/7.03  thf(func_def_1123, type, sK224: (int > nat)).
% 22.41/7.03  thf(func_def_1124, type, sK225: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1125, type, sK226: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1126, type, sK227: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1127, type, sK228: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1128, type, sK229: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1129, type, sK230: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > (X1 > X0 > $o) > product_prod @ X1 @ X0))).
% 22.41/7.03  thf(func_def_1130, type, sK231: !>[X0: $tType]:((set @ list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1131, type, sK232: !>[X0: $tType]:((list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1132, type, sK233: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1133, type, sK234: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ X1 > filter @ X0 > X1))).
% 22.41/7.03  thf(func_def_1134, type, sK235: (set @ int > int > (int > $o) > int)).
% 22.41/7.03  thf(func_def_1135, type, sK236: (set @ int > int > (int > $o) > int)).
% 22.41/7.03  thf(func_def_1136, type, sK237: ((int > $o) > int > int)).
% 22.41/7.03  thf(func_def_1137, type, sK238: ((int > $o) > int)).
% 22.41/7.03  thf(func_def_1138, type, sK239: (int > (int > $o) > int)).
% 22.41/7.03  thf(func_def_1139, type, sK240: (int > (int > $o) > int)).
% 22.41/7.03  thf(func_def_1140, type, sK241: (int > (int > $o) > (int > $o) > int)).
% 22.41/7.03  thf(func_def_1141, type, sK242: (int > set @ int > (int > $o) > int)).
% 22.41/7.03  thf(func_def_1142, type, sK243: !>[X0: $tType]:(((X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1143, type, sK244: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.03  thf(func_def_1144, type, sK245: !>[X0: $tType]:((list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1145, type, sK246: !>[X0: $tType]:((list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1146, type, sK247: !>[X0: $tType, X1: $tType]:((set @ X1 > X0 > (X1 > X0) > X1))).
% 22.41/7.03  thf(func_def_1147, type, sK248: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > (X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1148, type, sK249: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > (X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1149, type, sK250: (nat > (nat > $o) > nat)).
% 22.41/7.03  thf(func_def_1150, type, sK251: !>[X0: $tType]:(((X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1151, type, sK252: !>[X0: $tType]:(((X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1152, type, sK253: !>[X0: $tType]:((X0 > set @ X0 > set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 22.41/7.03  thf(func_def_1153, type, sK254: !>[X0: $tType]:(((X0 > assn) > (X0 > assn) > X0))).
% 22.41/7.03  thf(func_def_1154, type, sK255: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 22.41/7.03  thf(func_def_1155, type, sK256: !>[X0: $tType]:((list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1156, type, sK257: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > X1))).
% 22.41/7.03  thf(func_def_1157, type, sK258: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1158, type, sK259: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1159, type, sK260: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1160, type, sK261: (int > nat)).
% 22.41/7.03  thf(func_def_1161, type, sK262: !>[X0: $tType]:((list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1162, type, sK263: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1163, type, sK264: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1164, type, sK265: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.03  thf(func_def_1165, type, sK266: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.03  thf(func_def_1166, type, sK267: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > list @ X1 > (X0 > X1 > $o) > list @ X0))).
% 22.41/7.03  thf(func_def_1167, type, sK268: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > list @ X1 > (X0 > X1 > $o) > list @ X0))).
% 22.41/7.03  thf(func_def_1168, type, sK269: !>[X0: $tType, X1: $tType]:(((X0 > filter @ X1) > set @ X0 > set @ X0))).
% 22.41/7.03  thf(func_def_1169, type, sK270: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 22.41/7.03  thf(func_def_1170, type, sK271: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1171, type, sK272: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > X0 > X0 > $o))).
% 22.41/7.03  thf(func_def_1172, type, sK273: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1173, type, sK274: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1174, type, sK275: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > X0 > X0 > $o))).
% 22.41/7.03  thf(func_def_1175, type, sK276: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1176, type, sK277: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1177, type, sK278: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > X0 > X0 > $o))).
% 22.41/7.03  thf(func_def_1178, type, sK279: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1179, type, sK280: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1180, type, sK281: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 22.41/7.03  thf(func_def_1181, type, sK282: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1182, type, sK283: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > X0))).
% 22.41/7.03  thf(func_def_1183, type, sK284: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > list @ X1))).
% 22.41/7.03  thf(func_def_1184, type, sK285: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > X0 > X1))).
% 22.41/7.03  thf(func_def_1185, type, sK286: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > list @ X0))).
% 22.41/7.03  thf(func_def_1186, type, sK287: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > X0 > X1))).
% 22.41/7.03  thf(func_def_1187, type, sK288: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > list @ X1))).
% 22.41/7.03  thf(func_def_1188, type, sK289: !>[X0: $tType]:((X0 > list @ X0 > nat > X0))).
% 22.41/7.03  thf(func_def_1189, type, sK290: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1190, type, sK291: !>[X0: $tType]:((list @ X0 > (X0 > $o) > nat))).
% 22.41/7.03  thf(func_def_1191, type, sK292: ((nat > $o) > nat > nat)).
% 22.41/7.03  thf(func_def_1192, type, sK293: ((nat > $o) > nat > nat)).
% 22.41/7.03  thf(func_def_1193, type, sK294: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1194, type, sK295: !>[X0: $tType]:((nat > list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1195, type, sK296: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 22.41/7.03  thf(func_def_1196, type, sK297: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X1 > X1))).
% 22.41/7.03  thf(func_def_1197, type, sK298: !>[X0: $tType]:((set @ X0 > (set @ X0 > $o) > set @ X0))).
% 22.41/7.03  thf(func_def_1198, type, sK299: !>[X0: $tType]:((set @ X0 > (set @ X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1199, type, sK300: (nat > nat > nat)).
% 22.41/7.03  thf(func_def_1200, type, sK301: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > X1 > set @ X0 > X0))).
% 22.41/7.03  thf(func_def_1201, type, sK302: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > X1 > set @ X0 > set @ X0))).
% 22.41/7.03  thf(func_def_1202, type, sK303: !>[X0: $tType]:((list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1203, type, sK304: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1204, type, sK305: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 22.41/7.03  thf(func_def_1205, type, sK306: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 22.41/7.03  thf(func_def_1206, type, sK307: ((nat > $o) > nat > nat > nat)).
% 22.41/7.03  thf(func_def_1207, type, sK308: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X1 > X0) > X1))).
% 22.41/7.03  thf(func_def_1208, type, sK309: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > X1))).
% 22.41/7.03  thf(func_def_1209, type, sK310: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X1 > set @ X0 > set @ X1))).
% 22.41/7.03  thf(func_def_1210, type, sK311: !>[X0: $tType]:((X0 > X0 > X0))).
% 22.41/7.03  thf(func_def_1211, type, sK312: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 22.41/7.03  thf(func_def_1212, type, sK313: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 22.41/7.03  thf(func_def_1213, type, sK314: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 22.41/7.03  thf(func_def_1214, type, sK315: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 22.41/7.03  thf(func_def_1215, type, sK316: (product_prod @ nat @ nat > nat)).
% 22.41/7.03  thf(func_def_1216, type, sK317: (product_prod @ nat @ nat > nat)).
% 22.41/7.03  thf(func_def_1217, type, sK318: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > X1 > X0))).
% 22.41/7.03  thf(func_def_1218, type, sK319: !>[X0: $tType]:((list @ X0 > (X0 > $o) > (X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1219, type, sK320: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > set @ X2) > set @ X0 > (X0 > set @ X1) > X0))).
% 22.41/7.03  thf(func_def_1220, type, sK321: !>[X0: $tType]:((nat > set @ X0 > X0))).
% 22.41/7.03  thf(func_def_1221, type, sK322: !>[X0: $tType]:((nat > set @ X0 > set @ X0))).
% 22.41/7.03  thf(func_def_1222, type, sK323: !>[X0: $tType]:(((X0 > $o) > X0 > list @ X0 > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1223, type, sK324: !>[X0: $tType]:(((X0 > $o) > X0 > list @ X0 > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1224, type, sK325: !>[X0: $tType]:((X0 > X0))).
% 22.41/7.03  thf(func_def_1225, type, sK326: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 22.41/7.03  thf(func_def_1226, type, sK327: (product_prod @ heap_ext @ product_unit @ set @ nat > assn > assn > set @ nat)).
% 22.41/7.03  thf(func_def_1227, type, sK328: (product_prod @ heap_ext @ product_unit @ set @ nat > assn > assn > heap_ext @ product_unit)).
% 22.41/7.03  thf(func_def_1228, type, sK329: (product_prod @ heap_ext @ product_unit @ set @ nat > assn > assn > set @ nat)).
% 22.41/7.03  thf(func_def_1229, type, sK330: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > set @ X1) > set @ X0 > set @ X2 > X0))).
% 22.41/7.03  thf(func_def_1230, type, sK331: !>[X0: $tType]:((set @ filter @ X0 > set @ filter @ X0))).
% 22.41/7.03  thf(func_def_1231, type, sK332: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1232, type, sK333: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1233, type, sK334: !>[X0: $tType]:((set @ X0 > nat > set @ X0))).
% 22.41/7.03  thf(func_def_1234, type, sK335: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 22.41/7.03  thf(func_def_1235, type, sK336: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X0 > filter @ X1) > set @ X0 > X0 > X1 > $o))).
% 22.41/7.03  thf(func_def_1236, type, sK337: !>[X0: $tType, X1: $tType]:((X1 > (X1 > $o) > (X0 > filter @ X1) > set @ X0 > X0))).
% 22.41/7.03  thf(func_def_1237, type, sK338: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X1 > $o) > set @ X0 > X1))).
% 22.41/7.03  thf(func_def_1238, type, sK339: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > filter @ X1) > set @ X0 > X0))).
% 22.41/7.03  thf(func_def_1239, type, sK340: !>[X0: $tType, X1: $tType]:(((X1 > filter @ X0) > set @ X1 > X1))).
% 22.41/7.03  thf(func_def_1240, type, sK341: !>[X0: $tType, X1: $tType]:(((X1 > filter @ X0) > set @ X1 > X1))).
% 22.41/7.03  thf(func_def_1241, type, sK342: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > filter @ X0) > set @ X1 > X1))).
% 22.41/7.03  thf(func_def_1242, type, sK343: ((int > $o) > int)).
% 22.41/7.03  thf(func_def_1243, type, sK344: (int > (int > $o) > (int > $o) > int)).
% 22.41/7.03  thf(func_def_1244, type, sK345: ((int > $o) > int > int)).
% 22.41/7.03  thf(func_def_1245, type, sK346: ((int > $o) > int > int)).
% 22.41/7.03  thf(func_def_1246, type, sK347: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 22.41/7.03  thf(func_def_1247, type, sK348: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 22.41/7.03  thf(func_def_1248, type, sK349: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.03  thf(func_def_1249, type, sK350: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.03  thf(func_def_1250, type, sK351: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X0 > filter @ X1) > set @ X0 > set @ X0))).
% 22.41/7.03  thf(func_def_1251, type, sK352: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1252, type, sK353: !>[X0: $tType]:((nat > list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1253, type, sK354: !>[X0: $tType]:((nat > list @ X0 > X0 > nat))).
% 22.41/7.03  thf(func_def_1254, type, sK355: !>[X0: $tType]:((list @ X0 > X0 > list @ X0 > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1255, type, sK356: !>[X0: $tType]:((X0 > (X0 > $o) > list @ X0 > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1256, type, sK357: !>[X0: $tType]:((X0 > (X0 > $o) > list @ X0 > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1257, type, sK358: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1258, type, sK359: !>[X0: $tType, X1: $tType]:((list @ X0 > (X1 > X0 > $o) > (X1 > X0 > $o) > list @ X1 > X0))).
% 22.41/7.03  thf(func_def_1259, type, sK360: !>[X0: $tType, X1: $tType]:((list @ X0 > (X1 > X0 > $o) > (X1 > X0 > $o) > list @ X1 > X1))).
% 22.41/7.03  thf(func_def_1260, type, sK361: (product_prod @ code_natural @ code_natural > code_natural)).
% 22.41/7.03  thf(func_def_1261, type, sK362: (product_prod @ code_natural @ code_natural > code_natural)).
% 22.41/7.03  thf(func_def_1262, type, sK363: !>[X0: $tType]:((list @ X0 > nat))).
% 22.41/7.03  thf(func_def_1263, type, sK364: !>[X0: $tType]:((list @ X0 > nat))).
% 22.41/7.03  thf(func_def_1264, type, sK365: !>[X0: $tType]:((set @ X0 > (set @ X0 > $o) > set @ X0))).
% 22.41/7.03  thf(func_def_1265, type, sK366: !>[X0: $tType]:((set @ X0 > (set @ X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1266, type, sK367: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > (X1 > X0) > list @ X0 > list @ X1))).
% 22.41/7.03  thf(func_def_1267, type, sK368: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > (X1 > X0) > list @ X0 > list @ X1))).
% 22.41/7.03  thf(func_def_1268, type, sK369: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > (X1 > $o) > X0))).
% 22.41/7.03  thf(func_def_1269, type, sK370: !>[X0: $tType]:(((X0 > nat) > set @ X0 > X0))).
% 22.41/7.03  thf(func_def_1270, type, sK371: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 22.41/7.03  thf(func_def_1271, type, sK372: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 22.41/7.03  thf(func_def_1272, type, sK373: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X1 @ X0 > list @ X1))).
% 22.41/7.03  thf(func_def_1273, type, sK374: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X1 @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1274, type, sK375: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1275, type, sK376: !>[X0: $tType]:((nat > list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1276, type, sK377: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.03  thf(func_def_1277, type, sK378: !>[X0: $tType]:((X0 > X0))).
% 22.41/7.03  thf(func_def_1278, type, sK379: ((nat > $o) > nat > nat)).
% 22.41/7.03  thf(func_def_1279, type, sK380: ((nat > $o) > nat > nat)).
% 22.41/7.03  thf(func_def_1280, type, sK381: !>[X0: $tType]:((list @ X0 > nat > X0 > nat > nat))).
% 22.41/7.03  thf(func_def_1281, type, sK382: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1282, type, sK383: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 22.41/7.03  thf(func_def_1283, type, sK384: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 22.41/7.03  thf(func_def_1284, type, sK385: (nat > nat > nat)).
% 22.41/7.03  thf(func_def_1285, type, sK386: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > set @ X2) > set @ product_prod @ X0 @ X0 > X1))).
% 22.41/7.03  thf(func_def_1286, type, sK387: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > product_prod @ X0 @ X2 > (X0 > X2 > X1 > $o) > X2))).
% 22.41/7.03  thf(func_def_1287, type, sK388: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > product_prod @ X0 @ X2 > (X0 > X2 > X1 > $o) > X0))).
% 22.41/7.03  thf(func_def_1288, type, sK389: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X0 > X2))).
% 22.41/7.03  thf(func_def_1289, type, sK390: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X0 > X1))).
% 22.41/7.03  thf(func_def_1290, type, sK391: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X0 > X3))).
% 22.41/7.03  thf(func_def_1291, type, sK392: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X0 > X0))).
% 22.41/7.03  thf(func_def_1292, type, sK393: ((nat > $o) > nat > nat)).
% 22.41/7.03  thf(func_def_1293, type, sK394: ((nat > $o) > nat > nat)).
% 22.41/7.03  thf(func_def_1294, type, sK395: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > X0 > list @ X1 > X1))).
% 22.41/7.03  thf(func_def_1295, type, sK396: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > X0 > list @ X1 > list @ X1))).
% 22.41/7.03  thf(func_def_1296, type, sK397: !>[X0: $tType]:(((X0 > $o) > X0 > set @ product_prod @ X0 @ X0 > X0))).
% 22.41/7.03  thf(func_def_1297, type, sK398: !>[X0: $tType]:(((X0 > $o) > X0 > set @ product_prod @ X0 @ X0 > X0))).
% 22.41/7.03  thf(func_def_1298, type, sK399: (nat > nat > nat)).
% 22.41/7.03  thf(func_def_1299, type, sK400: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > list @ X1 > list @ X0 > nat))).
% 22.41/7.03  thf(func_def_1300, type, sK401: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 22.41/7.03  thf(func_def_1301, type, sK402: (product_prod @ (product_prod @ heap_ext @ product_unit @ set @ nat > $o) @ product_prod @ (product_prod @ heap_ext @ product_unit @ set @ nat > $o) @ product_prod @ heap_ext @ product_unit @ set @ nat > product_prod @ heap_ext @ product_unit @ set @ nat > $o)).
% 22.41/7.03  thf(func_def_1302, type, sK403: (product_prod @ (product_prod @ heap_ext @ product_unit @ set @ nat > $o) @ product_prod @ (product_prod @ heap_ext @ product_unit @ set @ nat > $o) @ product_prod @ heap_ext @ product_unit @ set @ nat > set @ nat)).
% 22.41/7.03  thf(func_def_1303, type, sK404: (product_prod @ (product_prod @ heap_ext @ product_unit @ set @ nat > $o) @ product_prod @ (product_prod @ heap_ext @ product_unit @ set @ nat > $o) @ product_prod @ heap_ext @ product_unit @ set @ nat > product_prod @ heap_ext @ product_unit @ set @ nat > $o)).
% 22.41/7.03  thf(func_def_1304, type, sK405: (product_prod @ (product_prod @ heap_ext @ product_unit @ set @ nat > $o) @ product_prod @ (product_prod @ heap_ext @ product_unit @ set @ nat > $o) @ product_prod @ heap_ext @ product_unit @ set @ nat > heap_ext @ product_unit)).
% 22.41/7.03  thf(func_def_1305, type, sK406: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X6 @ product_prod @ X0 @ X1 > X1))).
% 22.41/7.03  thf(func_def_1306, type, sK407: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X6 @ product_prod @ X0 @ X1 > X3))).
% 22.41/7.03  thf(func_def_1307, type, sK408: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X6 @ product_prod @ X0 @ X1 > X6))).
% 22.41/7.03  thf(func_def_1308, type, sK409: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X6 @ product_prod @ X0 @ X1 > X0))).
% 22.41/7.03  thf(func_def_1309, type, sK410: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X6 @ product_prod @ X0 @ X1 > X4))).
% 22.41/7.03  thf(func_def_1310, type, sK411: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X6 @ product_prod @ X0 @ X1 > X2))).
% 22.41/7.03  thf(func_def_1311, type, sK412: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X6 @ product_prod @ X0 @ X1 > X5))).
% 22.41/7.03  thf(func_def_1312, type, sK413: ((nat > $o) > nat)).
% 22.41/7.03  thf(func_def_1313, type, sK414: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1314, type, sK415: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1315, type, sK416: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1316, type, sK417: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ X0 > X2) > (X1 > X0 > X2) > X1))).
% 22.41/7.03  thf(func_def_1317, type, sK418: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ X0 > X2) > (X1 > X0 > X2) > X0))).
% 22.41/7.03  thf(func_def_1318, type, sK419: !>[X0: $tType, X1: $tType]:((X0 > X1 > X0 > set @ product_prod @ product_prod @ X1 @ X0 @ product_prod @ X1 @ X0 > X1 > X1))).
% 22.41/7.03  thf(func_def_1319, type, sK420: !>[X0: $tType, X1: $tType]:((X0 > X1 > X0 > set @ product_prod @ product_prod @ X1 @ X0 @ product_prod @ X1 @ X0 > X1 > X0))).
% 22.41/7.03  thf(func_def_1320, type, sK421: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 22.41/7.03  thf(func_def_1321, type, sK422: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 22.41/7.03  thf(func_def_1322, type, sK423: (nat > (nat > $o) > nat)).
% 22.41/7.03  thf(func_def_1323, type, sK424: (nat > (nat > $o) > nat)).
% 22.41/7.03  thf(func_def_1324, type, sK425: !>[X0: $tType]:((X0 > list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1325, type, sK426: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > X0))).
% 22.41/7.03  thf(func_def_1326, type, sK427: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.03  thf(func_def_1327, type, sK428: !>[X0: $tType]:((list @ X0 > X0 > X0))).
% 22.41/7.03  thf(func_def_1328, type, sK429: !>[X0: $tType, X1: $tType]:((X1 > list @ X1 > (X0 > X1) > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1329, type, sK430: !>[X0: $tType, X1: $tType]:((X1 > list @ X1 > (X0 > X1) > list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1330, type, sK431: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X1))).
% 22.41/7.03  thf(func_def_1331, type, sK432: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > product_prod @ X0 @ X1 > X1))).
% 22.41/7.03  thf(func_def_1332, type, sK433: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > product_prod @ X0 @ X1 > X0))).
% 22.41/7.03  thf(func_def_1333, type, sK434: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1334, type, sK435: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 22.41/7.03  thf(func_def_1335, type, sK436: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1336, type, sK437: ((nat > nat > $o) > nat)).
% 22.41/7.03  thf(func_def_1337, type, sK438: ((nat > nat > $o) > nat)).
% 22.41/7.03  thf(func_def_1338, type, sK439: ((nat > nat > $o) > nat)).
% 22.41/7.03  thf(func_def_1339, type, sK440: ((nat > nat > $o) > nat)).
% 22.41/7.03  thf(func_def_1340, type, sK441: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 22.41/7.03  thf(func_def_1341, type, sK442: !>[X0: $tType]:(((X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1342, type, sK443: !>[X0: $tType]:(((X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1343, type, sK444: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.03  thf(func_def_1344, type, sK445: !>[X0: $tType]:((product_prod @ heap_ext @ product_unit @ set @ nat > assn > assn > (X0 > assn) > X0))).
% 22.41/7.03  thf(func_def_1345, type, sK446: !>[X0: $tType]:((product_prod @ heap_ext @ product_unit @ set @ nat > assn > assn > (X0 > assn) > X0))).
% 22.41/7.03  thf(func_def_1346, type, sK447: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1347, type, sK448: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 22.41/7.03  thf(func_def_1348, type, sK449: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1349, type, sK450: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1350, type, sK451: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1351, type, sK452: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > (X0 > X1) > X0))).
% 22.41/7.03  thf(func_def_1352, type, sK453: !>[X0: $tType]:(((X0 > $o) > X0 > list @ X0 > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1353, type, sK454: !>[X0: $tType]:(((X0 > $o) > X0 > list @ X0 > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1354, type, sK455: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1355, type, sK456: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1 > set @ X0 > X0))).
% 22.41/7.03  thf(func_def_1356, type, sK457: (int > int > set @ int > int)).
% 22.41/7.03  thf(func_def_1357, type, sK458: (int > int > set @ int > int)).
% 22.41/7.03  thf(func_def_1358, type, sK459: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1359, type, sK460: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1360, type, sK461: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1361, type, sK462: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1362, type, sK463: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1363, type, sK464: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > X0))).
% 22.41/7.03  thf(func_def_1364, type, sK465: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > X0))).
% 22.41/7.03  thf(func_def_1365, type, sK466: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > X0))).
% 22.41/7.03  thf(func_def_1366, type, sK467: !>[X0: $tType, X1: $tType]:((set @ X0 > X1 > (X0 > X1) > X0))).
% 22.41/7.03  thf(func_def_1367, type, sK468: (int > set @ int > int > int)).
% 22.41/7.03  thf(func_def_1368, type, sK469: (int > set @ int > int > int)).
% 22.41/7.03  thf(func_def_1369, type, sK470: (int > (int > $o) > set @ int > int)).
% 22.41/7.03  thf(func_def_1370, type, sK471: (int > (int > $o) > set @ int > int)).
% 22.41/7.03  thf(func_def_1371, type, sK472: (nat > (nat > $o) > nat)).
% 22.41/7.03  thf(func_def_1372, type, sK473: (nat > (nat > $o) > nat)).
% 22.41/7.03  thf(func_def_1373, type, sK474: !>[X0: $tType]:((list @ X0 > nat > (X0 > $o) > nat))).
% 22.41/7.03  thf(func_def_1374, type, sK475: !>[X0: $tType]:((X0 > X0))).
% 22.41/7.03  thf(func_def_1375, type, sK476: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1376, type, sK477: !>[X0: $tType]:((list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1377, type, sK478: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 22.41/7.03  thf(func_def_1378, type, sK479: !>[X0: $tType]:((list @ X0 > nat))).
% 22.41/7.03  thf(func_def_1379, type, sK480: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > X1 > assn) > list @ X1 > (X0 > X1 > assn) > X1))).
% 22.41/7.03  thf(func_def_1380, type, sK481: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > X1 > assn) > list @ X1 > (X0 > X1 > assn) > X0))).
% 22.41/7.03  thf(func_def_1381, type, sK482: !>[X0: $tType, X1: $tType]:((list @ X0 > (X1 > X0 > $o) > list @ X1 > nat))).
% 22.41/7.03  thf(func_def_1382, type, sK483: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > X0))).
% 22.41/7.03  thf(func_def_1383, type, sK484: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > nat))).
% 22.41/7.03  thf(func_def_1384, type, sK485: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > nat > X0 > X0))).
% 22.41/7.03  thf(func_def_1385, type, sK486: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > nat))).
% 22.41/7.03  thf(func_def_1386, type, sK487: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ X1 > (X2 > X1 > X0) > (X2 > X1 > X0) > X1))).
% 22.41/7.03  thf(func_def_1387, type, sK488: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ X1 > (X2 > X1 > X0) > (X2 > X1 > X0) > X2))).
% 22.41/7.03  thf(func_def_1388, type, sK489: ((nat > $o) > nat)).
% 22.41/7.03  thf(func_def_1389, type, sK490: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 22.41/7.03  thf(func_def_1390, type, sK491: !>[X0: $tType]:((set @ X0 > nat))).
% 22.41/7.03  thf(func_def_1391, type, sK492: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 22.41/7.03  thf(func_def_1392, type, sK493: !>[X0: $tType]:((set @ X0 > nat > set @ X0))).
% 22.41/7.03  thf(func_def_1393, type, sK494: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 22.41/7.03  thf(func_def_1394, type, sK495: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 22.41/7.03  thf(func_def_1395, type, sK496: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1396, type, sK497: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > list @ X1 > X1))).
% 22.41/7.03  thf(func_def_1397, type, sK498: !>[X0: $tType]:((X0 > X0))).
% 22.41/7.03  thf(func_def_1398, type, sK499: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > (X2 > $o) > product_prod @ X0 @ X1 > X1))).
% 22.41/7.03  thf(func_def_1399, type, sK500: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > (X2 > $o) > product_prod @ X0 @ X1 > X0))).
% 22.41/7.03  thf(func_def_1400, type, sK501: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 22.41/7.03  thf(func_def_1401, type, sK502: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 22.41/7.03  thf(func_def_1402, type, sK503: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 22.41/7.03  thf(func_def_1403, type, sK504: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X1 > list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1404, type, sK505: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X1 > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1405, type, sK506: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X1 > list @ X0 > list @ X1))).
% 22.41/7.03  thf(func_def_1406, type, sK507: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X1 > list @ X0 > X1))).
% 22.41/7.03  thf(func_def_1407, type, sK508: ((nat > $o) > nat)).
% 22.41/7.03  thf(func_def_1408, type, sK509: ((nat > $o) > nat)).
% 22.41/7.03  thf(func_def_1409, type, sK510: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1410, type, sK511: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1411, type, sK512: !>[X0: $tType]:(((nat > X0) > nat))).
% 22.41/7.03  thf(func_def_1412, type, sK513: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 22.41/7.03  thf(func_def_1413, type, sK514: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1414, type, sK515: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.03  thf(func_def_1415, type, sK516: (nat > nat > nat)).
% 22.41/7.03  thf(func_def_1416, type, sK517: !>[X0: $tType]:((X0 > X0))).
% 22.41/7.03  thf(func_def_1417, type, sK518: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 22.41/7.03  thf(func_def_1418, type, sK519: !>[X0: $tType]:((set @ set @ X0 > set @ X0 > set @ X0))).
% 22.41/7.03  thf(func_def_1419, type, sK520: (int > set @ int > int > int)).
% 22.41/7.03  thf(func_def_1420, type, sK521: (int > set @ int > int > int)).
% 22.41/7.03  thf(func_def_1421, type, sK522: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > assn) > product_prod @ X0 @ X1 > (X0 > X1 > heap_Time_Heap @ X2) > assn > X1))).
% 22.41/7.03  thf(func_def_1422, type, sK523: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > assn) > product_prod @ X0 @ X1 > (X0 > X1 > heap_Time_Heap @ X2) > assn > X0))).
% 22.41/7.03  thf(func_def_1423, type, sK524: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 22.41/7.03  thf(func_def_1424, type, sK525: !>[X0: $tType]:(((X0 > $o) > nat > (X0 > nat) > X0 > X0))).
% 22.41/7.03  thf(func_def_1425, type, sK526: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0 > X1))).
% 22.41/7.03  thf(func_def_1426, type, sK527: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > assn) @ product_prod @ list @ X1 @ list @ X0 > X1 > X0 > assn))).
% 22.41/7.03  thf(func_def_1427, type, sK528: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > assn) @ product_prod @ list @ X1 @ list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1428, type, sK529: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > assn) @ product_prod @ list @ X1 @ list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1429, type, sK530: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > assn) @ product_prod @ list @ X1 @ list @ X0 > X1 > X0 > assn))).
% 22.41/7.03  thf(func_def_1430, type, sK531: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > assn) @ product_prod @ list @ X1 @ list @ X0 > X1))).
% 22.41/7.03  thf(func_def_1431, type, sK532: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > assn) @ product_prod @ list @ X1 @ list @ X0 > list @ X1))).
% 22.41/7.03  thf(func_def_1432, type, sK533: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > assn) @ product_prod @ list @ X1 @ list @ X0 > X1 > X0 > assn))).
% 22.41/7.03  thf(func_def_1433, type, sK534: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > assn) @ product_prod @ list @ X1 @ list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1434, type, sK535: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > assn) @ product_prod @ list @ X1 @ list @ X0 > X1 > X0 > assn))).
% 22.41/7.03  thf(func_def_1435, type, sK536: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > assn) @ product_prod @ list @ X1 @ list @ X0 > list @ X1))).
% 22.41/7.03  thf(func_def_1436, type, sK537: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > assn) @ product_prod @ list @ X1 @ list @ X0 > X1))).
% 22.41/7.03  thf(func_def_1437, type, sK538: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > assn) @ product_prod @ list @ X1 @ list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1438, type, sK539: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 22.41/7.03  thf(func_def_1439, type, sK540: !>[X0: $tType]:((set @ set @ X0 > X0 > set @ X0))).
% 22.41/7.03  thf(func_def_1440, type, sK541: !>[X0: $tType]:((product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1441, type, sK542: !>[X0: $tType]:((product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1442, type, sK543: !>[X0: $tType]:((product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1443, type, sK544: !>[X0: $tType]:((product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1444, type, sK545: !>[X0: $tType]:((product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1445, type, sK546: !>[X0: $tType]:((product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1446, type, sK547: !>[X0: $tType]:((product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1447, type, sK548: !>[X0: $tType]:((product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1448, type, sK549: !>[X0: $tType]:((product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1449, type, sK550: !>[X0: $tType]:((product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1450, type, sK551: !>[X0: $tType]:((X0 > list @ X0 > list @ X0 > list @ X0 > X0 > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1451, type, sK552: !>[X0: $tType]:((X0 > list @ X0 > list @ X0 > list @ X0 > X0 > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1452, type, sK553: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > set @ X0))).
% 22.41/7.03  thf(func_def_1453, type, sK554: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1454, type, sK555: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1455, type, sK556: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1456, type, sK557: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ X3 > $o) > X3))).
% 22.41/7.03  thf(func_def_1457, type, sK558: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ X3 > $o) > X2))).
% 22.41/7.03  thf(func_def_1458, type, sK559: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ X3 > $o) > X1))).
% 22.41/7.03  thf(func_def_1459, type, sK560: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ X3 > $o) > X0))).
% 22.41/7.03  thf(func_def_1460, type, sK561: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 22.41/7.03  thf(func_def_1461, type, sK562: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ X0 > $o) > X5))).
% 22.41/7.03  thf(func_def_1462, type, sK563: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ X0 > $o) > X3))).
% 22.41/7.03  thf(func_def_1463, type, sK564: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ X0 > $o) > X4))).
% 22.41/7.03  thf(func_def_1464, type, sK565: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ X0 > $o) > X1))).
% 22.41/7.03  thf(func_def_1465, type, sK566: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ X0 > $o) > X2))).
% 22.41/7.03  thf(func_def_1466, type, sK567: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ X0 > $o) > X0))).
% 22.41/7.03  thf(func_def_1467, type, sK568: !>[X0: $tType]:((set @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1468, type, sK569: (int > set @ int > int > int)).
% 22.41/7.03  thf(func_def_1469, type, sK570: (int > set @ int > int > int)).
% 22.41/7.03  thf(func_def_1470, type, sK571: ((nat > $o) > nat)).
% 22.41/7.03  thf(func_def_1471, type, sK572: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 22.41/7.03  thf(func_def_1472, type, sK573: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 22.41/7.03  thf(func_def_1473, type, sK574: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > $o) @ product_prod @ list @ X1 @ list @ X0 > list @ X0))).
% 22.41/7.03  thf(func_def_1474, type, sK575: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > $o) @ product_prod @ list @ X1 @ list @ X0 > X0))).
% 22.41/7.03  thf(func_def_1475, type, sK576: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > $o) @ product_prod @ list @ X1 @ list @ X0 > X1 > X0 > $o))).
% 22.41/7.03  thf(func_def_1476, type, sK577: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > $o) @ product_prod @ list @ X1 @ list @ X0 > X1 > X0 > $o))).
% 22.41/7.03  thf(func_def_1477, type, sK578: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > $o) @ product_prod @ list @ X1 @ list @ X0 > X1))).
% 22.41/7.03  thf(func_def_1478, type, sK579: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > $o) @ product_prod @ list @ X1 @ list @ X0 > list @ X1))).
% 22.41/7.03  thf(func_def_1479, type, sK580: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > $o) @ product_prod @ list @ X1 @ list @ X0 > X1))).
% 22.41/7.03  thf(func_def_1480, type, sK581: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > $o) @ product_prod @ list @ X1 @ list @ X0 > X1 > X0 > $o))).
% 22.41/7.03  thf(func_def_1481, type, sK582: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > $o) @ product_prod @ list @ X1 @ list @ X0 > list @ X1))).
% 22.41/7.03  thf(func_def_1482, type, sK583: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > $o) @ product_prod @ list @ X1 @ list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1483, type, sK584: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > $o) @ product_prod @ list @ X1 @ list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1484, type, sK585: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > $o) @ product_prod @ list @ X1 @ list @ X0 > X1 > X0 > $o))).
% 22.41/7.04  thf(func_def_1485, type, sK586: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1))).
% 22.41/7.04  thf(func_def_1486, type, sK587: !>[X0: $tType, X1: $tType]:(((X1 > X0) > list @ X0 > list @ X1))).
% 22.41/7.04  thf(func_def_1487, type, sK588: !>[X0: $tType, X1: $tType]:(((X1 > X0) > list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1488, type, sK589: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 22.41/7.04  thf(func_def_1489, type, sK590: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.04  thf(func_def_1490, type, sK591: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 22.41/7.04  thf(func_def_1491, type, sK592: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1492, type, sK593: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > $o) > X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1493, type, sK594: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > $o) > X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1494, type, sK595: !>[X0: $tType]:((X0 > set @ X0 > X0 > set @ X0 > set @ X0))).
% 22.41/7.04  thf(func_def_1495, type, sK596: (nat > (nat > $o) > nat > nat)).
% 22.41/7.04  thf(func_def_1496, type, sK597: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > X0 > X1))).
% 22.41/7.04  thf(func_def_1497, type, sK598: !>[X0: $tType]:((set @ list @ X0 > nat))).
% 22.41/7.04  thf(func_def_1498, type, sK599: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1 > $o) > filter @ X0 > X1))).
% 22.41/7.04  thf(func_def_1499, type, sK600: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > X0))).
% 22.41/7.04  thf(func_def_1500, type, sK601: (int > int > set @ int > int)).
% 22.41/7.04  thf(func_def_1501, type, sK602: (int > int > set @ int > int)).
% 22.41/7.04  thf(func_def_1502, type, sK603: !>[X0: $tType]:((X0 > list @ X0 > X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1503, type, sK604: !>[X0: $tType]:((X0 > list @ X0 > X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1504, type, sK605: !>[X0: $tType]:((X0 > list @ X0 > X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1505, type, sK606: !>[X0: $tType]:((X0 > list @ X0 > X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1506, type, sK607: !>[X0: $tType]:((X0 > list @ X0 > X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1507, type, sK608: !>[X0: $tType]:((X0 > list @ X0 > X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1508, type, sK609: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1509, type, sK610: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1510, type, sK611: !>[X0: $tType]:((set @ X0 > set @ X0))).
% 22.41/7.04  thf(func_def_1511, type, sK612: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.04  thf(func_def_1512, type, sK613: (nat > nat > nat)).
% 22.41/7.04  thf(func_def_1513, type, sK614: (int > set @ int > int > int)).
% 22.41/7.04  thf(func_def_1514, type, sK615: (int > set @ int > int > int)).
% 22.41/7.04  thf(func_def_1515, type, sK616: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 22.41/7.04  thf(func_def_1516, type, sK617: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1517, type, sK618: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1518, type, sK619: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > set @ X1 > X1))).
% 22.41/7.04  thf(func_def_1519, type, sK620: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 22.41/7.04  thf(func_def_1520, type, sK621: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 22.41/7.04  thf(func_def_1521, type, sK622: !>[X0: $tType]:(((X0 > $o) > set @ filter @ X0 > set @ filter @ X0))).
% 22.41/7.04  thf(func_def_1522, type, sK623: !>[X0: $tType]:((X0 > X0))).
% 22.41/7.04  thf(func_def_1523, type, sK624: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 22.41/7.04  thf(func_def_1524, type, sK625: (int > int > set @ int > int)).
% 22.41/7.04  thf(func_def_1525, type, sK626: (int > int > set @ int > int)).
% 22.41/7.04  thf(func_def_1526, type, sK627: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1527, type, sK628: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 22.41/7.04  thf(func_def_1528, type, sK629: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1529, type, sK630: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1530, type, sK631: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1531, type, sK632: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 22.41/7.04  thf(func_def_1532, type, sK633: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 22.41/7.04  thf(func_def_1533, type, sK634: !>[X0: $tType]:((product_prod @ (code_natural > X0) @ product_prod @ code_natural @ code_natural > code_natural))).
% 22.41/7.04  thf(func_def_1534, type, sK635: !>[X0: $tType]:((product_prod @ (code_natural > X0) @ product_prod @ code_natural @ code_natural > code_natural > X0))).
% 22.41/7.04  thf(func_def_1535, type, sK636: !>[X0: $tType]:((product_prod @ (code_natural > X0) @ product_prod @ code_natural @ code_natural > code_natural))).
% 22.41/7.04  thf(func_def_1536, type, sK637: !>[X0: $tType]:((list @ X0 > nat))).
% 22.41/7.04  thf(func_def_1537, type, sK638: !>[X0: $tType]:((list @ X0 > nat))).
% 22.41/7.04  thf(func_def_1538, type, sK639: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1539, type, sK640: ((nat > $o) > nat > nat > nat)).
% 22.41/7.04  thf(func_def_1540, type, sK641: ((nat > $o) > nat > nat > nat)).
% 22.41/7.04  thf(func_def_1541, type, sK642: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 22.41/7.04  thf(func_def_1542, type, sK643: !>[X0: $tType]:((X0 > X0 > set @ product_prod @ X0 @ X0 > X0))).
% 22.41/7.04  thf(func_def_1543, type, sK644: !>[X0: $tType]:((X0 > X0 > set @ product_prod @ X0 @ X0 > X0))).
% 22.41/7.04  thf(func_def_1544, type, sK645: !>[X0: $tType]:((X0 > X0 > set @ product_prod @ X0 @ X0 > X0))).
% 22.41/7.04  thf(func_def_1545, type, sK646: !>[X0: $tType]:((X0 > X0 > set @ product_prod @ X0 @ X0 > X0))).
% 22.41/7.04  thf(func_def_1546, type, sK647: !>[X0: $tType]:((X0 > X0 > set @ product_prod @ X0 @ X0 > X0))).
% 22.41/7.04  thf(func_def_1547, type, sK648: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1548, type, sK649: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1549, type, sK650: !>[X0: $tType]:((X0 > X0 > set @ product_prod @ X0 @ X0 > set @ X0 > X0))).
% 22.41/7.04  thf(func_def_1550, type, sK651: !>[X0: $tType]:((list @ X0 > nat > list @ X0))).
% 22.41/7.04  thf(func_def_1551, type, sK652: !>[X0: $tType]:((list @ X0 > nat > X0))).
% 22.41/7.04  thf(func_def_1552, type, sK653: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 22.41/7.04  thf(func_def_1553, type, sK654: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 22.41/7.04  thf(func_def_1554, type, sK655: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ product_prod @ X0 @ X0 > X0))).
% 22.41/7.04  thf(func_def_1555, type, sK656: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ product_prod @ X0 @ X0 > X0))).
% 22.41/7.04  thf(func_def_1556, type, sK657: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 22.41/7.04  thf(func_def_1557, type, sK658: (nat > nat)).
% 22.41/7.04  thf(func_def_1558, type, sK659: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2) > set @ X1 > (X1 > set @ X0) > X1))).
% 22.41/7.04  thf(func_def_1559, type, sK660: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.04  thf(func_def_1560, type, sK661: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1 > $o) > X0 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > X1))).
% 22.41/7.04  thf(func_def_1561, type, sK662: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1 > $o) > X0 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > X0))).
% 22.41/7.04  thf(func_def_1562, type, sK663: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1 > $o) > X0 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > X0))).
% 22.41/7.04  thf(func_def_1563, type, sK664: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1 > $o) > X0 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > X1))).
% 22.41/7.04  thf(func_def_1564, type, sK665: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1 > $o) > X0 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > X0))).
% 22.41/7.04  thf(func_def_1565, type, sK666: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1 > $o) > X0 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > X1))).
% 22.41/7.04  thf(func_def_1566, type, sK667: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 22.41/7.04  thf(func_def_1567, type, sK668: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 22.41/7.04  thf(func_def_1568, type, sK669: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 22.41/7.04  thf(func_def_1569, type, sK670: (int > set @ int > int > int)).
% 22.41/7.04  thf(func_def_1570, type, sK671: (int > set @ int > int > int)).
% 22.41/7.04  thf(func_def_1571, type, sK672: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > X0))).
% 22.41/7.04  thf(func_def_1572, type, sK673: !>[X0: $tType]:((list @ X0 > set @ nat > nat))).
% 22.41/7.04  thf(func_def_1573, type, sK674: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > X0 > X0 > $o))).
% 22.41/7.04  thf(func_def_1574, type, sK675: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1575, type, sK676: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1576, type, sK677: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > X0 > X0 > $o))).
% 22.41/7.04  thf(func_def_1577, type, sK678: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1578, type, sK679: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1579, type, sK680: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > set @ product_prod @ X0 @ X0 > X0))).
% 22.41/7.04  thf(func_def_1580, type, sK681: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > set @ product_prod @ X0 @ X0 > X0))).
% 22.41/7.04  thf(func_def_1581, type, sK682: ($o > assn > product_prod @ heap_ext @ product_unit @ set @ nat)).
% 22.41/7.04  thf(func_def_1582, type, sK683: ((nat > $o) > nat)).
% 22.41/7.04  thf(func_def_1583, type, sK684: (int > nat)).
% 22.41/7.04  thf(func_def_1584, type, sK685: !>[X0: $tType]:(((X0 > $o) > X0 > set @ product_prod @ X0 @ X0 > X0))).
% 22.41/7.04  thf(func_def_1585, type, sK686: !>[X0: $tType]:(((X0 > $o) > X0 > set @ product_prod @ X0 @ X0 > X0))).
% 22.41/7.04  thf(func_def_1586, type, sK687: !>[X0: $tType]:(((X0 > $o) > X0 > set @ product_prod @ X0 @ X0 > X0))).
% 22.41/7.04  thf(func_def_1587, type, sK688: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1588, type, sK689: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > (X0 > X1) > set @ X0))).
% 22.41/7.04  thf(func_def_1589, type, sK690: !>[X0: $tType, X1: $tType]:((product_prod @ code_natural @ product_prod @ (X0 > X1 > product_prod @ X0 @ X1) @ X0 > X0 > X1 > product_prod @ X0 @ X1))).
% 22.41/7.04  thf(func_def_1590, type, sK691: !>[X0: $tType, X1: $tType]:((product_prod @ code_natural @ product_prod @ (X0 > X1 > product_prod @ X0 @ X1) @ X0 > code_natural))).
% 22.41/7.04  thf(func_def_1591, type, sK692: !>[X0: $tType, X1: $tType]:((product_prod @ code_natural @ product_prod @ (X0 > X1 > product_prod @ X0 @ X1) @ X0 > X0))).
% 22.41/7.04  thf(func_def_1592, type, sK693: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X1 > list @ X0 > list @ X1 > list @ X0))).
% 22.41/7.04  thf(func_def_1593, type, sK694: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X1 > list @ X0 > list @ X1 > list @ X0))).
% 22.41/7.04  thf(func_def_1594, type, sK695: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 22.41/7.04  thf(func_def_1595, type, sK696: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1596, type, sK697: !>[X0: $tType]:(((X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1597, type, sK698: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1598, type, sK699: !>[X0: $tType]:((list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1599, type, sK700: !>[X0: $tType]:((set @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1600, type, sK701: !>[X0: $tType, X1: $tType]:((X1 > set @ X0 > (X0 > X1) > X0))).
% 22.41/7.04  thf(func_def_1601, type, sK702: !>[X0: $tType, X1: $tType]:((X1 > set @ X0 > (X0 > X1) > X0))).
% 22.41/7.04  thf(func_def_1602, type, sK703: !>[X0: $tType, X1: $tType]:((X0 > product_prod @ X0 @ X1 > X1))).
% 22.41/7.04  thf(func_def_1603, type, sK704: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1604, type, sK705: !>[X0: $tType]:((X0 > X0))).
% 22.41/7.04  thf(func_def_1605, type, sK706: (nat > (nat > $o) > nat)).
% 22.41/7.04  thf(func_def_1606, type, sK707: (nat > (nat > $o) > nat)).
% 22.41/7.04  thf(func_def_1607, type, sK708: !>[X0: $tType, X1: $tType]:((X0 > list @ X1 > list @ X0 > X1))).
% 22.41/7.04  thf(func_def_1608, type, sK709: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 22.41/7.04  thf(func_def_1609, type, sK710: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 22.41/7.04  thf(func_def_1610, type, sK711: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 22.41/7.04  thf(func_def_1611, type, sK712: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1612, type, sK713: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1613, type, sK714: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 22.41/7.04  thf(func_def_1614, type, sK715: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 22.41/7.04  thf(func_def_1615, type, sK716: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > (X1 > X0) > X1))).
% 22.41/7.04  thf(func_def_1616, type, sK717: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1617, type, sK718: !>[X0: $tType]:(((X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1618, type, sK719: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X1))).
% 22.41/7.04  thf(func_def_1619, type, sK720: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X0))).
% 22.41/7.04  thf(func_def_1620, type, sK721: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 22.41/7.04  thf(func_def_1621, type, sK722: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 22.41/7.04  thf(func_def_1622, type, sK723: !>[X0: $tType]:((X0 > X0))).
% 22.41/7.04  thf(func_def_1623, type, sK724: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > (X1 > X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1624, type, sK725: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > (X1 > X0 > $o) > list @ X1))).
% 22.41/7.04  thf(func_def_1625, type, sK726: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > (X1 > X0 > $o) > X1))).
% 22.41/7.04  thf(func_def_1626, type, sK727: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > (X1 > X0 > $o) > list @ X0))).
% 22.41/7.04  thf(func_def_1627, type, sK728: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1628, type, sK729: !>[X0: $tType, X1: $tType]:(((set @ X1 > $o) > (X1 > X0) > X1))).
% 22.41/7.04  thf(func_def_1629, type, sK730: !>[X0: $tType, X1: $tType]:(((set @ X1 > $o) > (X1 > X0) > set @ X1))).
% 22.41/7.04  thf(func_def_1630, type, sK731: ((nat > $o) > nat > nat)).
% 22.41/7.04  thf(func_def_1631, type, sK732: ((nat > $o) > nat > nat)).
% 22.41/7.04  thf(func_def_1632, type, sK733: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > X1) > list @ X1 > list @ X1 > list @ X0))).
% 22.41/7.04  thf(func_def_1633, type, sK734: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > X1) > list @ X1 > list @ X1 > list @ X0))).
% 22.41/7.04  thf(func_def_1634, type, sK735: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1635, type, sK736: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 22.41/7.04  thf(func_def_1636, type, sK737: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 22.41/7.04  thf(func_def_1637, type, sK738: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1638, type, sK739: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ X0 > $o) > X1))).
% 22.41/7.04  thf(func_def_1639, type, sK740: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ X0 > $o) > X2))).
% 22.41/7.04  thf(func_def_1640, type, sK741: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > X0 > (X1 > X0) > list @ X1))).
% 22.41/7.04  thf(func_def_1641, type, sK742: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > X0 > (X1 > X0) > X1))).
% 22.41/7.04  thf(func_def_1642, type, sK743: !>[X0: $tType]:(((X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1643, type, sK744: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X0))).
% 22.41/7.04  thf(func_def_1644, type, sK745: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1 > X0))).
% 22.41/7.04  thf(func_def_1645, type, sK746: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1646, type, sK747: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1647, type, sK748: (int > set @ int > int > int)).
% 22.41/7.04  thf(func_def_1648, type, sK749: (int > set @ int > int > int)).
% 22.41/7.04  thf(func_def_1649, type, sK750: !>[X0: $tType]:((X0 > X0))).
% 22.41/7.04  thf(func_def_1650, type, sK751: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > (X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1651, type, sK752: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > (X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1652, type, sK753: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > (X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1653, type, sK754: !>[X0: $tType]:((set @ set @ X0 > set @ X0 > set @ X0))).
% 22.41/7.04  thf(func_def_1654, type, sK755: !>[X0: $tType]:((set @ set @ X0 > set @ X0 > set @ X0))).
% 22.41/7.04  thf(func_def_1655, type, sK756: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0 > $o) > set @ product_prod @ product_prod @ X1 @ X0 @ product_prod @ X1 @ X0 > X1 > X0))).
% 22.41/7.04  thf(func_def_1656, type, sK757: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0 > $o) > set @ product_prod @ product_prod @ X1 @ X0 @ product_prod @ X1 @ X0 > X1 > X1))).
% 22.41/7.04  thf(func_def_1657, type, sK758: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0 > $o) > set @ product_prod @ product_prod @ X1 @ X0 @ product_prod @ X1 @ X0 > X1 > X0))).
% 22.41/7.04  thf(func_def_1658, type, sK759: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0 > $o) > set @ product_prod @ product_prod @ X1 @ X0 @ product_prod @ X1 @ X0 > X1 > X1))).
% 22.41/7.04  thf(func_def_1659, type, sK760: (nat > nat > nat)).
% 22.41/7.04  thf(func_def_1660, type, sK761: (assn > product_prod @ heap_ext @ product_unit @ set @ nat > product_prod @ heap_ext @ product_unit @ set @ nat)).
% 22.41/7.04  thf(func_def_1661, type, sK762: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 22.41/7.04  thf(func_def_1662, type, sK763: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1663, type, sK764: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > X0 > X1))).
% 22.41/7.04  thf(func_def_1664, type, sK765: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > X0 > X1))).
% 22.41/7.04  thf(func_def_1665, type, sK766: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1666, type, sK767: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1667, type, sK768: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1668, type, sK769: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > X0 > X1))).
% 22.41/7.04  thf(func_def_1669, type, sK770: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 22.41/7.04  thf(func_def_1670, type, sK771: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 22.41/7.04  thf(func_def_1671, type, sK772: !>[X0: $tType, X1: $tType]:((X1 > X0))).
% 22.41/7.04  thf(func_def_1672, type, sK773: !>[X0: $tType]:((filter @ X0 > filter @ X0 > X0 > $o))).
% 22.41/7.04  thf(func_def_1673, type, sK774: (nat > nat > (nat > $o) > nat)).
% 22.41/7.04  thf(func_def_1674, type, sK775: (nat > nat > (nat > $o) > nat)).
% 22.41/7.04  thf(func_def_1675, type, sK776: (int > int > set @ int > int)).
% 22.41/7.04  thf(func_def_1676, type, sK777: (int > int > set @ int > int)).
% 22.41/7.04  thf(func_def_1677, type, sK778: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1678, type, sK779: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1679, type, sK780: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1680, type, sK781: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1681, type, sK782: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1682, type, sK783: (int > int > set @ int > int)).
% 22.41/7.04  thf(func_def_1683, type, sK784: (int > int > set @ int > int)).
% 22.41/7.04  thf(func_def_1684, type, sK785: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1685, type, sK786: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1686, type, sK787: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X0 > X1) > (X1 > X0) > X1))).
% 22.41/7.04  thf(func_def_1687, type, sK788: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > set @ X0 > set @ X0 > X1))).
% 22.41/7.04  thf(func_def_1688, type, sK789: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X2) > (X0 > X2) > set @ X1 > (X1 > X0) > X1))).
% 22.41/7.04  thf(func_def_1689, type, sK790: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > (X0 > X1) > X1))).
% 22.41/7.04  thf(func_def_1690, type, sK791: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > set @ X0 > set @ X0 > (X0 > X1) > X0))).
% 22.41/7.04  thf(func_def_1691, type, sK792: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 22.41/7.04  thf(func_def_1692, type, sK793: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 22.41/7.04  thf(func_def_1693, type, sK794: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1694, type, sK795: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 22.41/7.04  thf(func_def_1695, type, sK796: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 22.41/7.04  thf(func_def_1696, type, sK797: (int > (int > $o) > int)).
% 22.41/7.04  thf(func_def_1697, type, sK798: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > (X1 > X0) > X1))).
% 22.41/7.04  thf(func_def_1698, type, sK799: (nat > nat)).
% 22.41/7.04  thf(func_def_1699, type, sK800: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 22.41/7.04  thf(func_def_1700, type, sK801: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1701, type, sK802: !>[X0: $tType]:((set @ X0 > nat))).
% 22.41/7.04  thf(func_def_1702, type, sK803: !>[X0: $tType]:((set @ X0 > X0 > nat))).
% 22.41/7.04  thf(func_def_1703, type, sK804: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > set @ X1) > set @ X0 > set @ X2 > X2))).
% 22.41/7.04  thf(func_def_1704, type, sK805: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X0 > X1) > set @ X0 > X1))).
% 22.41/7.04  thf(func_def_1705, type, sK806: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1706, type, sK807: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1707, type, sK808: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1708, type, sK809: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1709, type, sK810: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1710, type, sK811: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > set @ X1 > X1))).
% 22.41/7.04  thf(func_def_1711, type, sK812: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > set @ X1 > X1))).
% 22.41/7.04  thf(func_def_1712, type, sK813: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X1 > list @ X0 > X1 > list @ X0))).
% 22.41/7.04  thf(func_def_1713, type, sK814: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X1 > list @ X0 > X1 > X0))).
% 22.41/7.04  thf(func_def_1714, type, sK815: !>[X0: $tType]:((X0 > X0))).
% 22.41/7.04  thf(func_def_1715, type, sK816: !>[X0: $tType]:(((X0 > X0) > list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1716, type, sK817: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > X1 > X0))).
% 22.41/7.04  thf(func_def_1717, type, sK818: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > X0 > X1))).
% 22.41/7.04  thf(func_def_1718, type, sK819: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > filter @ X1 > X1 > X0))).
% 22.41/7.04  thf(func_def_1719, type, sK820: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > nat))).
% 22.41/7.04  thf(func_def_1720, type, sK821: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.04  thf(func_def_1721, type, sK822: (int > set @ int > int > int)).
% 22.41/7.04  thf(func_def_1722, type, sK823: (int > set @ int > int > int)).
% 22.41/7.04  thf(func_def_1723, type, sK824: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.04  thf(func_def_1724, type, sK825: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 22.41/7.04  thf(func_def_1725, type, sK826: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 22.41/7.04  thf(func_def_1726, type, sK827: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > set @ X0 > X0))).
% 22.41/7.04  thf(func_def_1727, type, sK828: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X0 @ X2 > X0))).
% 22.41/7.04  thf(func_def_1728, type, sK829: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X0 @ X2 > X5))).
% 22.41/7.04  thf(func_def_1729, type, sK830: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X0 @ X2 > X1))).
% 22.41/7.04  thf(func_def_1730, type, sK831: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X0 @ X2 > X2))).
% 22.41/7.04  thf(func_def_1731, type, sK832: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X0 @ X2 > X4))).
% 22.41/7.04  thf(func_def_1732, type, sK833: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X0 @ X2 > X3))).
% 22.41/7.04  thf(func_def_1733, type, sK834: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > X1) > (X0 > X1) > X0))).
% 22.41/7.04  thf(func_def_1734, type, sK835: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.04  thf(func_def_1735, type, sK836: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.04  thf(func_def_1736, type, sK837: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X1 > set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 22.41/7.04  thf(func_def_1737, type, sK838: !>[X0: $tType, X1: $tType]:(((X1 > filter @ X0) > set @ X1 > X1))).
% 22.41/7.04  thf(func_def_1738, type, sK839: !>[X0: $tType, X1: $tType]:(((X1 > filter @ X0) > set @ X1 > X1))).
% 22.41/7.04  thf(func_def_1739, type, sK840: !>[X0: $tType, X1: $tType]:(((X1 > filter @ X0) > set @ X1 > X1))).
% 22.41/7.04  thf(func_def_1740, type, sK841: (nat > nat > nat)).
% 22.41/7.04  thf(func_def_1741, type, sK842: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X5 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ X6 > $o) > X2))).
% 22.41/7.04  thf(func_def_1742, type, sK843: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X5 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ X6 > $o) > X1))).
% 22.41/7.04  thf(func_def_1743, type, sK844: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X5 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ X6 > $o) > X0))).
% 22.41/7.04  thf(func_def_1744, type, sK845: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X5 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ X6 > $o) > X6))).
% 22.41/7.04  thf(func_def_1745, type, sK846: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X5 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ X6 > $o) > X3))).
% 22.41/7.04  thf(func_def_1746, type, sK847: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X5 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ X6 > $o) > X4))).
% 22.41/7.04  thf(func_def_1747, type, sK848: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X5 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ X6 > $o) > X5))).
% 22.41/7.04  thf(func_def_1748, type, sK849: !>[X0: $tType, X1: $tType]:((list @ X1 > (X0 > X1 > $o) > list @ X0 > (X0 > X1 > $o) > X1))).
% 22.41/7.04  thf(func_def_1749, type, sK850: !>[X0: $tType, X1: $tType]:((list @ X1 > (X0 > X1 > $o) > list @ X0 > (X0 > X1 > $o) > X0))).
% 22.41/7.04  thf(func_def_1750, type, sK851: !>[X0: $tType]:((list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1751, type, sK852: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1752, type, sK853: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 22.41/7.04  thf(func_def_1753, type, sK854: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 22.41/7.04  thf(func_def_1754, type, sK855: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 22.41/7.04  thf(func_def_1755, type, sK856: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 22.41/7.04  thf(func_def_1756, type, sK857: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 22.41/7.04  thf(func_def_1757, type, sK858: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 22.41/7.04  thf(func_def_1758, type, sK859: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 22.41/7.04  thf(func_def_1759, type, sK860: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 22.41/7.04  thf(func_def_1760, type, sK861: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 22.41/7.04  thf(func_def_1761, type, sK862: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 22.41/7.04  thf(func_def_1762, type, sK863: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1763, type, sK864: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > list @ X1 > list @ X0 > list @ X1))).
% 22.41/7.04  thf(func_def_1764, type, sK865: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > list @ X1 > list @ X0 > X1))).
% 22.41/7.04  thf(func_def_1765, type, sK866: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1766, type, sK867: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1767, type, sK868: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1768, type, sK869: !>[X0: $tType]:(((X0 > $o) > list @ X0 > nat))).
% 22.41/7.04  thf(func_def_1769, type, sK870: (int > nat)).
% 22.41/7.04  thf(func_def_1770, type, sK871: (int > nat)).
% 22.41/7.04  thf(func_def_1771, type, sK872: (assn > product_prod @ heap_ext @ product_unit @ set @ nat)).
% 22.41/7.04  thf(func_def_1772, type, sK873: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > list @ X0 > (X1 > X0) > list @ X1))).
% 22.41/7.04  thf(func_def_1773, type, sK874: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > list @ X0 > (X1 > X0) > list @ X1))).
% 22.41/7.04  thf(func_def_1774, type, sK875: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X1 > list @ X0 > set @ nat > list @ X0 > nat))).
% 22.41/7.04  thf(func_def_1775, type, sK876: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 22.41/7.04  thf(func_def_1776, type, sK877: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ X4 > $o) > X3))).
% 22.41/7.04  thf(func_def_1777, type, sK878: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ X4 > $o) > X2))).
% 22.41/7.04  thf(func_def_1778, type, sK879: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ X4 > $o) > X0))).
% 22.41/7.04  thf(func_def_1779, type, sK880: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ X4 > $o) > X4))).
% 22.41/7.04  thf(func_def_1780, type, sK881: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ X4 > $o) > X1))).
% 22.41/7.04  thf(func_def_1781, type, sK882: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1782, type, sK883: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1783, type, sK884: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ X0 > X1 > X0))).
% 22.41/7.04  thf(func_def_1784, type, sK885: !>[X0: $tType]:((product_prod @ (X0 > $o) @ product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1785, type, sK886: !>[X0: $tType]:((product_prod @ (X0 > $o) @ product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > X0 > $o))).
% 22.41/7.04  thf(func_def_1786, type, sK887: !>[X0: $tType]:((product_prod @ (X0 > $o) @ product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1787, type, sK888: !>[X0: $tType]:((product_prod @ (X0 > $o) @ product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1788, type, sK889: !>[X0: $tType]:((product_prod @ (X0 > $o) @ product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1789, type, sK890: !>[X0: $tType]:((product_prod @ (X0 > $o) @ product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1790, type, sK891: !>[X0: $tType]:((product_prod @ (X0 > $o) @ product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1791, type, sK892: !>[X0: $tType]:((product_prod @ (X0 > $o) @ product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > X0 > $o))).
% 22.41/7.04  thf(func_def_1792, type, sK893: !>[X0: $tType, X1: $tType]:((X1 > set @ X0 > (X0 > X1) > X0))).
% 22.41/7.04  thf(func_def_1793, type, sK894: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X1 > X1))).
% 22.41/7.04  thf(func_def_1794, type, sK895: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > X1))).
% 22.41/7.04  thf(func_def_1795, type, sK896: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1 > set @ X0))).
% 22.41/7.04  thf(func_def_1796, type, sK897: !>[X0: $tType]:((nat > (nat > X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1797, type, sK898: !>[X0: $tType]:((list @ X0 > (nat > X0 > $o) > nat > nat))).
% 22.41/7.04  thf(func_def_1798, type, sK899: !>[X0: $tType]:(((nat > X0 > $o) > nat > list @ X0))).
% 22.41/7.04  thf(func_def_1799, type, sK900: !>[X0: $tType]:(((nat > X0 > $o) > nat > nat))).
% 22.41/7.04  thf(func_def_1800, type, sK901: (int > int > set @ int > int)).
% 22.41/7.04  thf(func_def_1801, type, sK902: (int > int > set @ int > int)).
% 22.41/7.04  thf(func_def_1802, type, sK903: (set @ int > (int > $o) > int > int)).
% 22.41/7.04  thf(func_def_1803, type, sK904: ((int > $o) > set @ int > int > int)).
% 22.41/7.04  thf(func_def_1804, type, sK905: (int > set @ int > int > int)).
% 22.41/7.04  thf(func_def_1805, type, sK906: (int > set @ int > int > int)).
% 22.41/7.04  thf(func_def_1806, type, sK907: ((int > $o) > int > set @ int > int)).
% 22.41/7.04  thf(func_def_1807, type, sK908: ((int > $o) > int > set @ int > int)).
% 22.41/7.04  thf(func_def_1808, type, sK909: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1809, type, sK910: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 22.41/7.04  thf(func_def_1810, type, sK911: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > product_prod @ X0 @ X1 > X1))).
% 22.41/7.04  thf(func_def_1811, type, sK912: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > product_prod @ X0 @ X1 > X0))).
% 22.41/7.04  thf(func_def_1812, type, sK913: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X0))).
% 22.41/7.04  thf(func_def_1813, type, sK914: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X1))).
% 22.41/7.04  thf(func_def_1814, type, sK915: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X2))).
% 22.41/7.04  thf(func_def_1815, type, sK916: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ X0 @ X0 > X0))).
% 22.41/7.04  thf(func_def_1816, type, sK917: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ X0 @ X0 > X0 > X1))).
% 22.41/7.04  thf(func_def_1817, type, sK918: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ X0 @ X0 > X0))).
% 22.41/7.04  thf(func_def_1818, type, sK919: (nat > (nat > $o) > nat)).
% 22.41/7.04  thf(func_def_1819, type, sK920: (nat > (nat > $o) > nat)).
% 22.41/7.04  thf(func_def_1820, type, sK921: (assn > assn > product_prod @ heap_ext @ product_unit @ set @ nat)).
% 22.41/7.04  thf(func_def_1821, type, sK922: (assn > assn > product_prod @ heap_ext @ product_unit @ set @ nat)).
% 22.41/7.04  thf(func_def_1822, type, sK923: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1823, type, sK924: (int > int > set @ int > int)).
% 22.41/7.04  thf(func_def_1824, type, sK925: (int > int > set @ int > int)).
% 22.41/7.04  thf(func_def_1825, type, sK926: (product_prod @ int @ int > int)).
% 22.41/7.04  thf(func_def_1826, type, sK927: (product_prod @ int @ int > int)).
% 22.41/7.04  thf(func_def_1827, type, sK928: !>[X0: $tType]:((list @ X0 > X0 > nat))).
% 22.41/7.04  thf(func_def_1828, type, sK929: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (list @ X1 > list @ X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1829, type, sK930: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (list @ X1 > list @ X0 > $o) > list @ X1))).
% 22.41/7.04  thf(func_def_1830, type, sK931: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (list @ X1 > list @ X0 > $o) > list @ X0))).
% 22.41/7.04  thf(func_def_1831, type, sK932: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (list @ X1 > list @ X0 > $o) > X1))).
% 22.41/7.04  thf(func_def_1832, type, sK933: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 22.41/7.04  thf(func_def_1833, type, sK934: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 22.41/7.04  thf(func_def_1834, type, sK935: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (list @ X1 > list @ X0 > $o) > X1))).
% 22.41/7.04  thf(func_def_1835, type, sK936: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (list @ X1 > list @ X0 > $o) > list @ X1))).
% 22.41/7.04  thf(func_def_1836, type, sK937: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (list @ X1 > list @ X0 > $o) > list @ X0))).
% 22.41/7.04  thf(func_def_1837, type, sK938: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (list @ X1 > list @ X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1838, type, sK939: (assn > assn > product_prod @ heap_ext @ product_unit @ set @ nat)).
% 22.41/7.04  thf(func_def_1839, type, sK940: (int > set @ int > int > int)).
% 22.41/7.04  thf(func_def_1840, type, sK941: (int > set @ int > int > int)).
% 22.41/7.04  thf(func_def_1841, type, sK942: !>[X0: $tType]:((X0 > X0))).
% 22.41/7.04  thf(func_def_1842, type, sK943: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > (X1 > X0) > X1))).
% 22.41/7.04  thf(func_def_1843, type, sK944: (nat > (nat > $o) > nat)).
% 22.41/7.04  thf(func_def_1844, type, sK945: (nat > (nat > $o) > nat)).
% 22.41/7.04  thf(func_def_1845, type, sK946: !>[X0: $tType]:((set @ filter @ X0 > (X0 > $o) > filter @ X0))).
% 22.41/7.04  thf(func_def_1846, type, sK947: !>[X0: $tType]:((list @ X0 > list @ X0 > X0 > list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1847, type, sK948: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > product_prod @ X1 @ X0))).
% 22.41/7.04  thf(func_def_1848, type, sK949: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1849, type, sK950: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > X1))).
% 22.41/7.04  thf(func_def_1850, type, sK951: !>[X0: $tType]:((list @ X0 > X0 > nat))).
% 22.41/7.04  thf(func_def_1851, type, sK952: (int > set @ int > int > int)).
% 22.41/7.04  thf(func_def_1852, type, sK953: (int > set @ int > int > int)).
% 22.41/7.04  thf(func_def_1853, type, sK954: !>[X0: $tType]:((list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1854, type, sK955: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1855, type, sK956: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1856, type, sK957: !>[X0: $tType, X1: $tType]:((X1 > X0))).
% 22.41/7.04  thf(func_def_1857, type, sK958: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1858, type, sK959: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1859, type, sK960: !>[X0: $tType]:((list @ X0 > X0 > X0))).
% 22.41/7.04  thf(func_def_1860, type, sK961: ((nat > nat > $o) > nat)).
% 22.41/7.04  thf(func_def_1861, type, sK962: ((nat > nat > $o) > nat)).
% 22.41/7.04  thf(func_def_1862, type, sK963: ((nat > nat > $o) > nat)).
% 22.41/7.04  thf(func_def_1863, type, sK964: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ X0 > X0 > X0))).
% 22.41/7.04  thf(func_def_1864, type, sK965: !>[X0: $tType]:((nat > list @ X0 > list @ X0 > nat))).
% 22.41/7.04  thf(func_def_1865, type, sK966: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1866, type, sK967: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 22.41/7.04  thf(func_def_1867, type, sK968: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 22.41/7.04  thf(func_def_1868, type, sK969: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1869, type, sK970: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 22.41/7.04  thf(func_def_1870, type, sK971: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 22.41/7.04  thf(func_def_1871, type, sK972: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1872, type, sK973: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 22.41/7.04  thf(func_def_1873, type, sK974: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1874, type, sK975: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 22.41/7.04  thf(func_def_1875, type, sK976: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 22.41/7.04  thf(func_def_1876, type, sK977: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 22.41/7.04  thf(func_def_1877, type, sK978: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1878, type, sK979: !>[X0: $tType]:((list @ X0 > set @ X0 > X0))).
% 22.41/7.04  thf(func_def_1879, type, sK980: !>[X0: $tType]:(((X0 > nat) > nat > (X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1880, type, sK981: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1881, type, sK982: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1882, type, sK983: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 22.41/7.04  thf(func_def_1883, type, sK984: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1884, type, sK985: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1885, type, sK986: ((nat > nat) > nat)).
% 22.41/7.04  thf(func_def_1886, type, sK987: ((nat > nat) > nat)).
% 22.41/7.04  thf(func_def_1887, type, sK988: !>[X0: $tType]:(X0)).
% 22.41/7.04  thf(func_def_1888, type, sK989: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1889, type, sK990: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1890, type, sK991: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 22.41/7.04  thf(func_def_1891, type, sK992: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 22.41/7.04  thf(func_def_1892, type, sK993: !>[X0: $tType]:((nat > set @ set @ X0 > set @ X0))).
% 22.41/7.04  thf(func_def_1893, type, sK994: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.04  thf(func_def_1894, type, sK995: !>[X0: $tType]:((nat > (X0 > nat > $o) > list @ X0))).
% 22.41/7.04  thf(func_def_1895, type, sK996: !>[X0: $tType]:((nat > (X0 > nat > $o) > nat))).
% 22.41/7.04  thf(func_def_1896, type, sK997: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1897, type, sK998: !>[X0: $tType]:((list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1898, type, sK999: !>[X0: $tType]:((list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1899, type, sK1000: !>[X0: $tType]:((list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1900, type, sK1001: (set @ nat > nat > nat)).
% 22.41/7.04  thf(func_def_1901, type, sK1002: !>[X0: $tType, X1: $tType]:((X1 > (X1 > X0) > X1 > (X1 > X0) > X1))).
% 22.41/7.04  thf(func_def_1902, type, sK1003: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ X1 > (X2 > X1 > X0 > $o) > X0 > X1))).
% 22.41/7.04  thf(func_def_1903, type, sK1004: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ X1 > (X2 > X1 > X0 > $o) > X0 > X2))).
% 22.41/7.04  thf(func_def_1904, type, sK1005: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1905, type, sK1006: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 22.41/7.04  thf(func_def_1906, type, sK1007: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 22.41/7.04  thf(func_def_1907, type, sK1008: (nat > nat > nat)).
% 22.41/7.04  thf(func_def_1908, type, sK1009: ((nat > $o) > nat)).
% 22.41/7.04  thf(func_def_1909, type, sK1010: !>[X0: $tType]:(((X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1910, type, sK1011: (int > int > set @ int > int)).
% 22.41/7.04  thf(func_def_1911, type, sK1012: (int > int > set @ int > int)).
% 22.41/7.04  thf(func_def_1912, type, sK1013: !>[X0: $tType, X1: $tType]:((X0 > set @ product_prod @ X0 @ X1 > X1))).
% 22.41/7.04  thf(func_def_1913, type, sK1014: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > X1))).
% 22.41/7.04  thf(func_def_1914, type, sK1015: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > X0))).
% 22.41/7.04  thf(func_def_1915, type, sK1016: !>[X0: $tType]:((set @ X0 > nat > set @ X0))).
% 22.41/7.04  thf(func_def_1916, type, sK1017: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 22.41/7.04  thf(func_def_1917, type, sK1018: !>[X0: $tType]:(((X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1918, type, sK1019: !>[X0: $tType]:((set @ X0 > X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 22.41/7.04  thf(func_def_1919, type, sK1020: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0 > set @ X0))).
% 22.41/7.04  thf(func_def_1920, type, sK1021: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0 > set @ X0))).
% 22.41/7.04  thf(func_def_1921, type, sK1022: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > (X0 > X1) > X0))).
% 22.41/7.04  thf(func_def_1922, type, sK1023: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X0 > (X0 > X1) > X0))).
% 22.41/7.04  thf(func_def_1923, type, sK1024: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1924, type, sK1025: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 22.41/7.04  thf(func_def_1925, type, sK1026: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 22.41/7.04  thf(func_def_1926, type, sK1027: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1927, type, sK1028: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1928, type, sK1029: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1929, type, sK1030: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1930, type, sK1031: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1931, type, sK1032: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1932, type, sK1033: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 22.41/7.04  thf(func_def_1933, type, sK1034: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 22.41/7.04  thf(func_def_1934, type, sK1035: !>[X0: $tType]:(((X0 > $o) > set @ X0 > set @ X0 > X0))).
% 22.41/7.04  thf(func_def_1935, type, sK1036: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1936, type, sK1037: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1937, type, sK1038: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1938, type, sK1039: !>[X0: $tType, X1: $tType]:((list @ X0 > (X1 > X0) > list @ X1 > list @ X0 > list @ X1))).
% 22.41/7.04  thf(func_def_1939, type, sK1040: !>[X0: $tType, X1: $tType]:((list @ X0 > (X1 > X0) > list @ X1 > list @ X0 > list @ X1))).
% 22.41/7.04  thf(func_def_1940, type, sK1041: !>[X0: $tType]:((set @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1941, type, sK1042: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X1 > set @ X0 > X0))).
% 22.41/7.04  thf(func_def_1942, type, sK1043: !>[X0: $tType, X1: $tType]:(((X0 > X1 > assn) > (X0 > X1 > assn) > X0))).
% 22.41/7.04  thf(func_def_1943, type, sK1044: !>[X0: $tType, X1: $tType]:(((X0 > X1 > assn) > (X0 > X1 > assn) > X1))).
% 22.41/7.04  thf(func_def_1944, type, sK1045: !>[X0: $tType]:((nat > list @ X0))).
% 22.41/7.04  thf(func_def_1945, type, sK1046: !>[X0: $tType]:((X0 > X0))).
% 22.41/7.04  thf(func_def_1946, type, sK1047: ((int > $o) > int > int)).
% 22.41/7.04  thf(func_def_1947, type, sK1048: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 22.41/7.04  thf(func_def_1948, type, sK1049: (nat > (nat > $o) > nat)).
% 22.41/7.04  thf(func_def_1949, type, sK1050: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 22.41/7.04  thf(func_def_1950, type, sK1051: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 22.41/7.04  thf(func_def_1951, type, sK1052: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X4 @ X1 > X4))).
% 22.41/7.04  thf(func_def_1952, type, sK1053: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X4 @ X1 > X0))).
% 22.41/7.04  thf(func_def_1953, type, sK1054: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X4 @ X1 > X2))).
% 22.41/7.04  thf(func_def_1954, type, sK1055: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X4 @ X1 > X3))).
% 22.41/7.04  thf(func_def_1955, type, sK1056: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X4 @ X1 > X1))).
% 22.41/7.04  thf(func_def_1956, type, sK1057: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0))).
% 22.41/7.04  thf(func_def_1957, type, sK1058: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1958, type, sK1059: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1959, type, sK1060: !>[X0: $tType]:(((X0 > nat) > set @ X0 > X0))).
% 22.41/7.04  thf(func_def_1960, type, sK1061: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 22.41/7.04  thf(func_def_1961, type, sK1062: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1962, type, sK1063: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 22.41/7.04  thf(func_def_1963, type, sK1064: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 22.41/7.04  thf(func_def_1964, type, sK1065: !>[X0: $tType]:((X0 > X0 > X0))).
% 22.41/7.04  thf(func_def_1965, type, sK1066: (product_prod @ heap_ext @ product_unit @ set @ nat > set @ nat)).
% 22.41/7.04  thf(func_def_1966, type, sK1067: (product_prod @ heap_ext @ product_unit @ set @ nat > heap_ext @ product_unit)).
% 22.41/7.04  thf(func_def_1967, type, sK1068: ((nat > $o) > nat > nat > nat)).
% 22.41/7.04  thf(func_def_1968, type, sK1069: !>[X0: $tType]:(((X0 > $o) > set @ X0 > set @ X0 > X0))).
% 22.41/7.04  thf(func_def_1969, type, sK1070: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 22.41/7.04  thf(func_def_1970, type, sK1071: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 22.41/7.04  thf(func_def_1971, type, sK1072: (nat > nat > nat)).
% 22.41/7.04  thf(func_def_1972, type, sK1073: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 22.41/7.04  thf(func_def_1973, type, sK1074: !>[X0: $tType]:(((X0 > assn) > (X0 > assn) > X0))).
% 22.41/7.04  thf(func_def_1974, type, sK1075: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.04  thf(func_def_1975, type, sK1076: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 22.41/7.04  thf(func_def_1976, type, sK1077: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 22.41/7.04  thf(func_def_1977, type, sK1078: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 22.41/7.04  thf(func_def_1978, type, sK1079: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 22.41/7.04  thf(func_def_1979, type, sK1080: !>[X0: $tType]:(((X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1980, type, sK1081: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1981, type, sK1082: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1982, type, sK1083: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 22.41/7.04  thf(func_def_1983, type, sK1084: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_1984, type, sK1085: !>[X0: $tType]:((set @ X0 > X0 > nat))).
% 22.41/7.04  thf(func_def_1985, type, sK1086: !>[X0: $tType]:((set @ X0 > nat))).
% 22.41/7.04  thf(func_def_1986, type, sK1087: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0))).
% 22.41/7.04  thf(func_def_1987, type, sK1088: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > (list @ product_prod @ X1 @ X0 > $o) > nat))).
% 22.41/7.04  thf(func_def_1988, type, sK1089: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > (list @ product_prod @ X1 @ X0 > $o) > list @ X1))).
% 22.41/7.04  thf(func_def_1989, type, sK1090: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > (list @ product_prod @ X1 @ X0 > $o) > list @ X0))).
% 22.41/7.04  thf(func_def_1990, type, sK1091: ((nat > $o) > nat > nat)).
% 22.41/7.04  thf(func_def_1991, type, sK1092: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.04  thf(func_def_1992, type, sK1093: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ X0 @ X1 > X0))).
% 22.41/7.04  thf(func_def_1993, type, sK1094: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ X0 @ X1 > X1))).
% 22.41/7.04  thf(func_def_1994, type, sK1095: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_1995, type, sK1096: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > (X1 > X0) > X1))).
% 22.41/7.04  thf(func_def_1996, type, sK1097: ((nat > $o) > nat > nat)).
% 22.41/7.04  thf(func_def_1997, type, sK1098: !>[X0: $tType]:(((X0 > assn) > heap_Time_Heap @ X0 > assn > product_prod @ heap_ext @ product_unit @ set @ nat))).
% 22.41/7.04  thf(func_def_1998, type, sK1099: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 22.41/7.04  thf(func_def_1999, type, sK1100: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1 > $o) > X0 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > X0))).
% 22.41/7.04  thf(func_def_2000, type, sK1101: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1 > $o) > X0 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > X1))).
% 22.41/7.04  thf(func_def_2001, type, sK1102: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1 > $o) > X0 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > X0))).
% 22.41/7.04  thf(func_def_2002, type, sK1103: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1 > $o) > X0 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > X1))).
% 22.41/7.04  thf(func_def_2003, type, sK1104: !>[X0: $tType]:((set @ X0 > X0))).
% 22.41/7.04  thf(func_def_2004, type, sK1105: ((nat > $o) > nat)).
% 22.41/7.04  thf(func_def_2005, type, sK1106: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_2006, type, sK1107: !>[X0: $tType]:((list @ X0 > X0))).
% 22.41/7.04  thf(func_def_2007, type, sK1108: !>[X0: $tType, X1: $tType]:((list @ X1 > assn > list @ X0 > (X1 > X0 > assn) > X1))).
% 22.41/7.04  thf(func_def_2008, type, sK1109: !>[X0: $tType, X1: $tType]:((list @ X1 > assn > list @ X0 > (X1 > X0 > assn) > list @ X1))).
% 22.41/7.04  thf(func_def_2009, type, sK1110: !>[X0: $tType, X1: $tType]:((list @ X1 > assn > list @ X0 > (X1 > X0 > assn) > list @ X0))).
% 22.41/7.04  thf(func_def_2010, type, sK1111: !>[X0: $tType, X1: $tType]:((list @ X1 > assn > list @ X0 > (X1 > X0 > assn) > X0))).
% 22.41/7.04  thf(func_def_2011, type, sK1112: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_2012, type, sK1113: !>[X0: $tType]:((list @ X0 > X0))).
% 22.41/7.04  thf(func_def_2013, type, sK1114: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_2014, type, sK1115: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_2015, type, sK1116: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X0 > (X0 > X1) > (X0 > X1) > X0))).
% 22.41/7.04  thf(func_def_2016, type, sK1117: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X0 > (X0 > X1) > (X0 > X1) > X0))).
% 22.41/7.04  thf(func_def_2017, type, sK1118: ((nat > nat) > nat)).
% 22.41/7.04  thf(func_def_2018, type, sK1119: ((nat > nat) > nat)).
% 22.41/7.04  thf(func_def_2019, type, sK1120: (nat > (nat > $o) > nat > nat)).
% 22.41/7.04  thf(func_def_2020, type, sK1121: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_2021, type, sK1122: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_2022, type, sK1123: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_2023, type, sK1124: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_2024, type, sK1125: !>[X0: $tType]:((product_prod @ list @ list @ X0 @ list @ list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_2025, type, sK1126: !>[X0: $tType]:((product_prod @ list @ list @ X0 @ list @ list @ X0 > list @ list @ X0))).
% 22.41/7.04  thf(func_def_2026, type, sK1127: !>[X0: $tType]:((product_prod @ list @ list @ X0 @ list @ list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_2027, type, sK1128: !>[X0: $tType]:((product_prod @ list @ list @ X0 @ list @ list @ X0 > list @ list @ X0))).
% 22.41/7.04  thf(func_def_2028, type, sK1129: !>[X0: $tType]:((product_prod @ list @ list @ X0 @ list @ list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_2029, type, sK1130: !>[X0: $tType]:((product_prod @ list @ list @ X0 @ list @ list @ X0 > list @ list @ X0))).
% 22.41/7.04  thf(func_def_2030, type, sK1131: !>[X0: $tType]:((product_prod @ list @ list @ X0 @ list @ list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_2031, type, sK1132: !>[X0: $tType]:((product_prod @ list @ list @ X0 @ list @ list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_2032, type, sK1133: !>[X0: $tType]:((product_prod @ list @ list @ X0 @ list @ list @ X0 > list @ list @ X0))).
% 22.41/7.04  thf(func_def_2033, type, sK1134: !>[X0: $tType]:((product_prod @ list @ list @ X0 @ list @ list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_2034, type, sK1135: !>[X0: $tType]:(((X0 > $o) > X0))).
% 22.41/7.04  thf(func_def_2035, type, sK1136: ((int > $o) > int)).
% 22.41/7.04  thf(func_def_2036, type, sK1137: (int > (int > $o) > set @ int > int)).
% 22.41/7.04  thf(func_def_2037, type, sK1138: (int > (int > $o) > set @ int > int)).
% 22.41/7.04  thf(func_def_2038, type, sK1139: ((int > $o) > int > int)).
% 22.41/7.04  thf(func_def_2039, type, sK1140: ((int > $o) > int > int)).
% 22.41/7.04  thf(func_def_2040, type, sK1141: ((int > $o) > int > int)).
% 22.41/7.04  thf(func_def_2041, type, sK1142: (set @ int > int > (int > $o) > int)).
% 22.41/7.04  thf(func_def_2042, type, sK1143: (int > (int > $o) > (int > $o) > int)).
% 22.41/7.04  thf(func_def_2043, type, sK1144: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > product_prod @ X0 @ X1))).
% 22.41/7.04  thf(func_def_2044, type, sK1145: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X0))).
% 22.41/7.04  thf(func_def_2045, type, sK1146: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X1))).
% 22.41/7.04  thf(func_def_2046, type, sK1147: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X0 > (X0 > X1) > nat))).
% 22.41/7.04  thf(func_def_2047, type, sK1148: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > set @ X0 > X0 > X0 > X0))).
% 22.41/7.04  thf(func_def_2048, type, sK1149: !>[X0: $tType]:((X0 > X0 > X0))).
% 22.41/7.04  thf(func_def_2049, type, sK1150: !>[X0: $tType]:((list @ X0 > X0))).
% 22.41/7.04  thf(func_def_2050, type, sK1151: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_2051, type, sK1152: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 22.41/7.04  thf(func_def_2052, type, sK1153: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 22.41/7.04  thf(func_def_2053, type, sK1154: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 22.41/7.04  thf(func_def_2054, type, sK1155: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 22.41/7.04  thf(func_def_2055, type, sK1156: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 22.41/7.04  thf(func_def_2056, type, sK1157: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 22.41/7.04  thf(func_def_2057, type, sK1158: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 22.41/7.04  thf(func_def_2058, type, sK1159: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 22.41/7.04  thf(func_def_2059, type, sK1160: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 22.41/7.04  thf(func_def_2060, type, sK1161: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X1 > (X1 > X0 > $o) > list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_2061, type, sK1162: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X1 > (X1 > X0 > $o) > list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_2062, type, sK1163: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > product_prod @ X2 @ X0 > (X2 > X0 > set @ X1) > X0))).
% 22.41/7.04  thf(func_def_2063, type, sK1164: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > product_prod @ X2 @ X0 > (X2 > X0 > set @ X1) > X2))).
% 22.41/7.04  thf(func_def_2064, type, sK1165: !>[X0: $tType]:((set @ X0 > (set @ X0 > $o) > set @ X0))).
% 22.41/7.04  thf(func_def_2065, type, sK1166: !>[X0: $tType]:(($o > (X0 > X0 > $o) > list @ X0 > list @ X0))).
% 22.41/7.04  thf(func_def_2066, type, sK1167: !>[X0: $tType]:(($o > (X0 > X0 > $o) > list @ X0 > X0))).
% 22.41/7.04  thf(func_def_2067, type, sK1168: !>[X0: $tType]:(($o > (X0 > X0 > $o) > list @ X0 > X0))).
% 22.41/7.04  thf(f2,axiom,(
% 22.41/7.04    (entails @ p @ bot_bot @ assn)),
% 22.41/7.04    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__092_060open_062P_A_092_060Longrightarrow_062_092_060_094sub_062A_Afalse_092_060close_062)).
% 22.41/7.04  thf(f985,axiom,(
% 22.41/7.04    ! [X2 : assn,X1 : assn,X0 : assn] : ((entails @ X0 @ X1) => (entails @ X0 @ (sup_sup @ assn @ X1 @ X2)))),
% 22.41/7.04    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_984_ent__disjI1_H)).
% 22.41/7.04  thf(f999,axiom,(
% 22.41/7.04    ! [X0 : assn] : (((sup_sup @ assn @ bot_bot @ assn @ X0)) = X0)),
% 22.41/7.04    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_998_norm__assertion__simps_I5_J)).
% 22.41/7.04  thf(f8841,conjecture,(
% 22.41/7.04    (entails @ p @ q)),
% 22.41/7.04    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 22.41/7.04  thf(f8842,negated_conjecture,(
% 22.41/7.04    ~(entails @ p @ q)),
% 22.41/7.04    inference(negated_conjecture,[status(cth)],[f8841])).
% 22.41/7.04  thf(f11087,plain,(
% 22.41/7.04    (entails @ p @ bot_bot @ assn)),
% 22.41/7.04    inference(rectify,[],[f2])).
% 22.41/7.04  thf(f11088,plain,(
% 22.41/7.04    (((entails @ p @ bot_bot @ assn)) = $true)),
% 22.41/7.04    inference(fool_elimination,[],[f11087])).
% 22.41/7.04  thf(f12892,plain,(
% 22.41/7.04    ~(entails @ p @ q)),
% 22.41/7.04    inference(rectify,[],[f8842])).
% 22.41/7.04  thf(f12893,plain,(
% 22.41/7.04    ~ (((entails @ p @ q)) = $true)),
% 22.41/7.04    inference(fool_elimination,[],[f12892])).
% 22.41/7.04  thf(f14533,plain,(
% 22.41/7.04    ! [X0 : assn,X1 : assn,X2 : assn] : ((entails @ X2 @ X1) => (entails @ X2 @ (sup_sup @ assn @ X1 @ X0)))),
% 22.41/7.04    inference(rectify,[],[f985])).
% 22.41/7.04  thf(f14534,plain,(
% 22.41/7.04    ! [X0 : assn,X2 : assn,X1 : assn] : ((((entails @ X2 @ X1)) = $true) => ($true = ((entails @ X2 @ (sup_sup @ assn @ X1 @ X0)))))),
% 22.41/7.04    inference(fool_elimination,[],[f14533])).
% 22.41/7.04  thf(f21248,plain,(
% 22.41/7.04    ! [X0 : assn] : (((sup_sup @ assn @ bot_bot @ assn @ X0)) = X0)),
% 22.41/7.04    inference(fool_elimination,[],[f999])).
% 22.41/7.04  thf(f25804,plain,(
% 22.41/7.04    (((entails @ p @ q)) != $true)),
% 22.41/7.04    inference(flattening,[],[f12893])).
% 22.41/7.04  thf(f27334,plain,(
% 22.41/7.04    ! [X0 : assn,X1 : assn,X2 : assn] : ((((entails @ X2 @ X1)) != $true) | ($true = ((entails @ X2 @ (sup_sup @ assn @ X1 @ X0)))))),
% 22.41/7.04    inference(ennf_transformation,[],[f14534])).
% 22.41/7.04  thf(f31463,plain,(
% 22.41/7.04    (((entails @ p @ q)) != $true)),
% 22.41/7.04    inference(cnf_transformation,[],[f25804])).
% 22.41/7.04  thf(f31825,plain,(
% 22.41/7.04    ( ! [X2 : assn,X0 : assn,X1 : assn] : ((((entails @ X2 @ X1)) != $true) | ($true = ((entails @ X2 @ (sup_sup @ assn @ X1 @ X0))))) )),
% 22.41/7.04    inference(cnf_transformation,[],[f27334])).
% 22.41/7.04  thf(f32650,plain,(
% 22.41/7.04    ( ! [X0 : assn] : ((((sup_sup @ assn @ bot_bot @ assn @ X0)) = X0)) )),
% 22.41/7.04    inference(cnf_transformation,[],[f21248])).
% 22.41/7.04  thf(f34715,plain,(
% 22.41/7.04    (((entails @ p @ bot_bot @ assn)) = $true)),
% 22.41/7.04    inference(cnf_transformation,[],[f11088])).
% 22.41/7.04  thf(f35935,definition,(
% 22.41/7.04    spl1169_48 <=> (((entails @ p @ q)) = $true)),
% 22.41/7.04    introduced(definition,[new_symbols(definition,[spl1169_48])],[avatar_definition])).
% 22.41/7.04  thf(f35937,plain,(
% 22.41/7.04    (((entails @ p @ q)) != $true) | spl1169_48),
% 22.41/7.04    inference(avatar_component_clause,[],[f35935])).
% 22.41/7.04  thf(f35938,plain,(
% 22.41/7.04    ~spl1169_48),
% 22.41/7.04    inference(avatar_split_clause,[],[f31463,f35935])).
% 22.41/7.04  thf(f36055,definition,(
% 22.41/7.04    spl1169_72 <=> (((entails @ p @ bot_bot @ assn)) = $true)),
% 22.41/7.04    introduced(definition,[new_symbols(definition,[spl1169_72])],[avatar_definition])).
% 22.41/7.04  thf(f36057,plain,(
% 22.41/7.04    (((entails @ p @ bot_bot @ assn)) = $true) | ~spl1169_72),
% 22.41/7.04    inference(avatar_component_clause,[],[f36055])).
% 22.41/7.04  thf(f36058,plain,(
% 22.41/7.04    spl1169_72),
% 22.41/7.04    inference(avatar_split_clause,[],[f34715,f36055])).
% 22.41/7.04  thf(f36139,plain,(
% 22.41/7.04    ( ! [X0 : assn] : (($true = ((entails @ p @ (sup_sup @ assn @ bot_bot @ assn @ X0)))) | ($true != $true)) ) | ~spl1169_72),
% 22.41/7.04    inference(superposition,[],[f31825,f36057])).
% 22.41/7.04  thf(f36150,plain,(
% 22.41/7.04    ( ! [X0 : assn] : (($true = ((entails @ p @ (sup_sup @ assn @ bot_bot @ assn @ X0))))) ) | ~spl1169_72),
% 22.41/7.04    inference(trivial_inequality_removal,[],[f36139])).
% 22.41/7.04  thf(f36151,plain,(
% 22.41/7.04    ( ! [X0 : assn] : (($true = ((entails @ p @ X0)))) ) | ~spl1169_72),
% 22.41/7.04    inference(forward_demodulation,[],[f36150,f32650])).
% 22.41/7.04  thf(f36971,plain,(
% 22.41/7.04    ($true != $true) | (spl1169_48 | ~spl1169_72)),
% 22.41/7.04    inference(superposition,[],[f35937,f36151])).
% 22.41/7.04  thf(f37002,plain,(
% 22.41/7.04    $false | (spl1169_48 | ~spl1169_72)),
% 22.41/7.04    inference(trivial_inequality_removal,[],[f36971])).
% 22.41/7.04  thf(f37003,plain,(
% 22.41/7.04    spl1169_48 | ~spl1169_72),
% 22.41/7.04    inference(avatar_contradiction_clause,[],[f37002])).
% 22.41/7.04  cnf(s50, plain, ~spl1169_48, inference(sat_conversion,[],[f35938])).
% 22.41/7.04  cnf(s77, plain, spl1169_72, inference(sat_conversion,[],[f36058])).
% 22.41/7.04  cnf(s90, plain, spl1169_48 | ~spl1169_72, inference(sat_conversion,[],[f37003])).
% 22.41/7.04  cnf(s93, plain, spl1169_48, inference(rat,[],[s90,s77])).
% 22.41/7.04  cnf(s96, plain, $false, inference(rat,[],[s50,s93])).
% 22.41/7.04  thf(f37005,plain,(
% 22.41/7.04    $false),
% 22.41/7.04    inference(avatar_sat_refutation,[],[s96])).
% 22.41/7.04  % SZS output end Proof for theBenchmark
% 22.41/7.04  % (1127401)------------------------------
% 22.41/7.04  % (1127401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.41/7.04  % (1127401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.41/7.04  % (1127401)CaDiCaL version: 2.1.3
% 22.41/7.04  % (1127401)Termination reason: Refutation
% 22.41/7.04  % (1127401)Time elapsed: 1.643 s
% 22.41/7.04  % (1127401)Peak memory usage: 56 MB
% 22.41/7.04  % (1127401)Instructions burned: 3142 (million)
% 22.41/7.04  % (1127263)Success in time 3.229 s
% 22.41/7.04  % Vampire exiting
%------------------------------------------------------------------------------